0.002 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.259 * * * [progress]: [2/2] Setting up program.
0.266 * [progress]: [Phase 2 of 3] Improving.
0.266 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.266 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.266 * * [simplify]: iters left: 6 (13 enodes)
0.275 * * [simplify]: iters left: 5 (57 enodes)
0.295 * * [simplify]: iters left: 4 (96 enodes)
0.330 * * [simplify]: iters left: 3 (172 enodes)
0.406 * * [simplify]: iters left: 2 (338 enodes)
0.517 * * [simplify]: Extracting #0: cost 1 inf + 0
0.517 * * [simplify]: Extracting #1: cost 41 inf + 0
0.518 * * [simplify]: Extracting #2: cost 120 inf + 1
0.518 * * [simplify]: Extracting #3: cost 166 inf + 127
0.519 * * [simplify]: Extracting #4: cost 166 inf + 467
0.521 * * [simplify]: Extracting #5: cost 119 inf + 9856
0.527 * * [simplify]: Extracting #6: cost 46 inf + 40838
0.549 * * [simplify]: Extracting #7: cost 4 inf + 73302
0.573 * * [simplify]: Extracting #8: cost 0 inf + 76897
0.590 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
0.590 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
0.596 * * [progress]: iteration 1 / 4
0.596 * * * [progress]: picking best candidate
0.602 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))>
0.602 * * * [progress]: localizing error
0.644 * * * [progress]: generating rewritten candidates
0.644 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
0.672 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
0.705 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
0.730 * * * [progress]: generating series expansions
0.730 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
0.731 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
0.731 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
0.731 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
0.731 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
0.731 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
0.731 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
0.731 * [taylor]: Taking taylor expansion of 1/2 in k
0.731 * [backup-simplify]: Simplify 1/2 into 1/2
0.731 * [taylor]: Taking taylor expansion of (- 1 k) in k
0.731 * [taylor]: Taking taylor expansion of 1 in k
0.731 * [backup-simplify]: Simplify 1 into 1
0.731 * [taylor]: Taking taylor expansion of k in k
0.731 * [backup-simplify]: Simplify 0 into 0
0.731 * [backup-simplify]: Simplify 1 into 1
0.731 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
0.731 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
0.731 * [taylor]: Taking taylor expansion of 2 in k
0.731 * [backup-simplify]: Simplify 2 into 2
0.731 * [taylor]: Taking taylor expansion of (* n PI) in k
0.731 * [taylor]: Taking taylor expansion of n in k
0.731 * [backup-simplify]: Simplify n into n
0.731 * [taylor]: Taking taylor expansion of PI in k
0.731 * [backup-simplify]: Simplify PI into PI
0.731 * [backup-simplify]: Simplify (* n PI) into (* n PI)
0.732 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
0.732 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
0.732 * [backup-simplify]: Simplify (- 0) into 0
0.733 * [backup-simplify]: Simplify (+ 1 0) into 1
0.733 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.733 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
0.733 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
0.733 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
0.733 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
0.733 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
0.734 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
0.734 * [taylor]: Taking taylor expansion of 1/2 in n
0.734 * [backup-simplify]: Simplify 1/2 into 1/2
0.734 * [taylor]: Taking taylor expansion of (- 1 k) in n
0.734 * [taylor]: Taking taylor expansion of 1 in n
0.734 * [backup-simplify]: Simplify 1 into 1
0.734 * [taylor]: Taking taylor expansion of k in n
0.734 * [backup-simplify]: Simplify k into k
0.734 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
0.734 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.734 * [taylor]: Taking taylor expansion of 2 in n
0.734 * [backup-simplify]: Simplify 2 into 2
0.734 * [taylor]: Taking taylor expansion of (* n PI) in n
0.734 * [taylor]: Taking taylor expansion of n in n
0.734 * [backup-simplify]: Simplify 0 into 0
0.734 * [backup-simplify]: Simplify 1 into 1
0.734 * [taylor]: Taking taylor expansion of PI in n
0.734 * [backup-simplify]: Simplify PI into PI
0.734 * [backup-simplify]: Simplify (* 0 PI) into 0
0.735 * [backup-simplify]: Simplify (* 2 0) into 0
0.737 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
0.738 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
0.739 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.739 * [backup-simplify]: Simplify (- k) into (- k)
0.739 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
0.739 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
0.741 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.742 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
0.743 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
0.743 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
0.743 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
0.743 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
0.743 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
0.743 * [taylor]: Taking taylor expansion of 1/2 in n
0.743 * [backup-simplify]: Simplify 1/2 into 1/2
0.743 * [taylor]: Taking taylor expansion of (- 1 k) in n
0.743 * [taylor]: Taking taylor expansion of 1 in n
0.743 * [backup-simplify]: Simplify 1 into 1
0.743 * [taylor]: Taking taylor expansion of k in n
0.743 * [backup-simplify]: Simplify k into k
0.743 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
0.743 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.743 * [taylor]: Taking taylor expansion of 2 in n
0.743 * [backup-simplify]: Simplify 2 into 2
0.743 * [taylor]: Taking taylor expansion of (* n PI) in n
0.744 * [taylor]: Taking taylor expansion of n in n
0.744 * [backup-simplify]: Simplify 0 into 0
0.744 * [backup-simplify]: Simplify 1 into 1
0.744 * [taylor]: Taking taylor expansion of PI in n
0.744 * [backup-simplify]: Simplify PI into PI
0.744 * [backup-simplify]: Simplify (* 0 PI) into 0
0.744 * [backup-simplify]: Simplify (* 2 0) into 0
0.746 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
0.748 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
0.749 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.749 * [backup-simplify]: Simplify (- k) into (- k)
0.749 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
0.749 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
0.750 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.751 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
0.753 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
0.753 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
0.753 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
0.753 * [taylor]: Taking taylor expansion of 1/2 in k
0.753 * [backup-simplify]: Simplify 1/2 into 1/2
0.753 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
0.753 * [taylor]: Taking taylor expansion of (- 1 k) in k
0.753 * [taylor]: Taking taylor expansion of 1 in k
0.753 * [backup-simplify]: Simplify 1 into 1
0.753 * [taylor]: Taking taylor expansion of k in k
0.753 * [backup-simplify]: Simplify 0 into 0
0.753 * [backup-simplify]: Simplify 1 into 1
0.753 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
0.753 * [taylor]: Taking taylor expansion of (log n) in k
0.753 * [taylor]: Taking taylor expansion of n in k
0.753 * [backup-simplify]: Simplify n into n
0.753 * [backup-simplify]: Simplify (log n) into (log n)
0.753 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
0.753 * [taylor]: Taking taylor expansion of (* 2 PI) in k
0.753 * [taylor]: Taking taylor expansion of 2 in k
0.753 * [backup-simplify]: Simplify 2 into 2
0.753 * [taylor]: Taking taylor expansion of PI in k
0.753 * [backup-simplify]: Simplify PI into PI
0.754 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.755 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.755 * [backup-simplify]: Simplify (- 0) into 0
0.756 * [backup-simplify]: Simplify (+ 1 0) into 1
0.757 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.758 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
0.759 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
0.760 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
0.761 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
0.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
0.763 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
0.765 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
0.765 * [backup-simplify]: Simplify (- 0) into 0
0.765 * [backup-simplify]: Simplify (+ 0 0) into 0
0.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
0.767 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.768 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
0.770 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.770 * [taylor]: Taking taylor expansion of 0 in k
0.770 * [backup-simplify]: Simplify 0 into 0
0.770 * [backup-simplify]: Simplify 0 into 0
0.771 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
0.772 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
0.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
0.774 * [backup-simplify]: Simplify (+ 0 0) into 0
0.774 * [backup-simplify]: Simplify (- 1) into -1
0.775 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.776 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
0.778 * [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)))))
0.781 * [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)))))))
0.784 * [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)))))))
0.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
0.787 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
0.790 * [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
0.790 * [backup-simplify]: Simplify (- 0) into 0
0.791 * [backup-simplify]: Simplify (+ 0 0) into 0
0.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
0.793 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.795 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
0.797 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.797 * [taylor]: Taking taylor expansion of 0 in k
0.797 * [backup-simplify]: Simplify 0 into 0
0.798 * [backup-simplify]: Simplify 0 into 0
0.798 * [backup-simplify]: Simplify 0 into 0
0.799 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
0.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
0.804 * [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
0.804 * [backup-simplify]: Simplify (+ 0 0) into 0
0.805 * [backup-simplify]: Simplify (- 0) into 0
0.805 * [backup-simplify]: Simplify (+ 0 0) into 0
0.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
0.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
0.814 * [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)))))
0.819 * [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)))))
0.829 * [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)))))
0.830 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
0.830 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
0.830 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
0.830 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
0.830 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
0.830 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
0.830 * [taylor]: Taking taylor expansion of 1/2 in k
0.830 * [backup-simplify]: Simplify 1/2 into 1/2
0.830 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
0.830 * [taylor]: Taking taylor expansion of 1 in k
0.830 * [backup-simplify]: Simplify 1 into 1
0.830 * [taylor]: Taking taylor expansion of (/ 1 k) in k
0.830 * [taylor]: Taking taylor expansion of k in k
0.830 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify 1 into 1
0.831 * [backup-simplify]: Simplify (/ 1 1) into 1
0.831 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
0.831 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
0.831 * [taylor]: Taking taylor expansion of 2 in k
0.831 * [backup-simplify]: Simplify 2 into 2
0.831 * [taylor]: Taking taylor expansion of (/ PI n) in k
0.831 * [taylor]: Taking taylor expansion of PI in k
0.831 * [backup-simplify]: Simplify PI into PI
0.831 * [taylor]: Taking taylor expansion of n in k
0.831 * [backup-simplify]: Simplify n into n
0.831 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
0.831 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
0.831 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
0.831 * [backup-simplify]: Simplify (- 1) into -1
0.832 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.832 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
0.832 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
0.833 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
0.833 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
0.833 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
0.833 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
0.833 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
0.833 * [taylor]: Taking taylor expansion of 1/2 in n
0.833 * [backup-simplify]: Simplify 1/2 into 1/2
0.833 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
0.833 * [taylor]: Taking taylor expansion of 1 in n
0.833 * [backup-simplify]: Simplify 1 into 1
0.833 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.833 * [taylor]: Taking taylor expansion of k in n
0.833 * [backup-simplify]: Simplify k into k
0.833 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
0.833 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
0.833 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
0.833 * [taylor]: Taking taylor expansion of 2 in n
0.833 * [backup-simplify]: Simplify 2 into 2
0.833 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.833 * [taylor]: Taking taylor expansion of PI in n
0.833 * [backup-simplify]: Simplify PI into PI
0.833 * [taylor]: Taking taylor expansion of n in n
0.833 * [backup-simplify]: Simplify 0 into 0
0.833 * [backup-simplify]: Simplify 1 into 1
0.834 * [backup-simplify]: Simplify (/ PI 1) into PI
0.838 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.839 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.839 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
0.839 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
0.840 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
0.841 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.842 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
0.843 * [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)))))
0.843 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
0.843 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
0.843 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
0.843 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
0.843 * [taylor]: Taking taylor expansion of 1/2 in n
0.843 * [backup-simplify]: Simplify 1/2 into 1/2
0.843 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
0.844 * [taylor]: Taking taylor expansion of 1 in n
0.844 * [backup-simplify]: Simplify 1 into 1
0.844 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.844 * [taylor]: Taking taylor expansion of k in n
0.844 * [backup-simplify]: Simplify k into k
0.844 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
0.844 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
0.844 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
0.844 * [taylor]: Taking taylor expansion of 2 in n
0.844 * [backup-simplify]: Simplify 2 into 2
0.844 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.844 * [taylor]: Taking taylor expansion of PI in n
0.844 * [backup-simplify]: Simplify PI into PI
0.844 * [taylor]: Taking taylor expansion of n in n
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify 1 into 1
0.844 * [backup-simplify]: Simplify (/ PI 1) into PI
0.845 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.846 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.846 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
0.846 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
0.847 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
0.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.849 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
0.850 * [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)))))
0.850 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
0.850 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
0.850 * [taylor]: Taking taylor expansion of 1/2 in k
0.850 * [backup-simplify]: Simplify 1/2 into 1/2
0.850 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
0.850 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
0.850 * [taylor]: Taking taylor expansion of 1 in k
0.851 * [backup-simplify]: Simplify 1 into 1
0.851 * [taylor]: Taking taylor expansion of (/ 1 k) in k
0.851 * [taylor]: Taking taylor expansion of k in k
0.851 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify 1 into 1
0.851 * [backup-simplify]: Simplify (/ 1 1) into 1
0.851 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
0.851 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
0.851 * [taylor]: Taking taylor expansion of (* 2 PI) in k
0.851 * [taylor]: Taking taylor expansion of 2 in k
0.851 * [backup-simplify]: Simplify 2 into 2
0.851 * [taylor]: Taking taylor expansion of PI in k
0.851 * [backup-simplify]: Simplify PI into PI
0.852 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.852 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.852 * [taylor]: Taking taylor expansion of (log n) in k
0.852 * [taylor]: Taking taylor expansion of n in k
0.852 * [backup-simplify]: Simplify n into n
0.852 * [backup-simplify]: Simplify (log n) into (log n)
0.852 * [backup-simplify]: Simplify (- 1) into -1
0.853 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.853 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
0.853 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
0.854 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
0.855 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
0.855 * [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)))))
0.856 * [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)))))
0.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
0.857 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
0.858 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
0.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
0.858 * [backup-simplify]: Simplify (- 0) into 0
0.859 * [backup-simplify]: Simplify (+ 0 0) into 0
0.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
0.860 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.861 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
0.862 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.862 * [taylor]: Taking taylor expansion of 0 in k
0.862 * [backup-simplify]: Simplify 0 into 0
0.862 * [backup-simplify]: Simplify 0 into 0
0.862 * [backup-simplify]: Simplify 0 into 0
0.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.863 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
0.865 * [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
0.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.865 * [backup-simplify]: Simplify (- 0) into 0
0.865 * [backup-simplify]: Simplify (+ 0 0) into 0
0.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
0.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.868 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
0.869 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.869 * [taylor]: Taking taylor expansion of 0 in k
0.869 * [backup-simplify]: Simplify 0 into 0
0.869 * [backup-simplify]: Simplify 0 into 0
0.869 * [backup-simplify]: Simplify 0 into 0
0.869 * [backup-simplify]: Simplify 0 into 0
0.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
0.874 * [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
0.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.874 * [backup-simplify]: Simplify (- 0) into 0
0.875 * [backup-simplify]: Simplify (+ 0 0) into 0
0.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
0.876 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.877 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
0.879 * [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
0.879 * [taylor]: Taking taylor expansion of 0 in k
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 0 into 0
0.880 * [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))))))
0.881 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
0.881 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
0.881 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
0.881 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
0.881 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
0.881 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
0.881 * [taylor]: Taking taylor expansion of 1/2 in k
0.881 * [backup-simplify]: Simplify 1/2 into 1/2
0.881 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
0.881 * [taylor]: Taking taylor expansion of (/ 1 k) in k
0.881 * [taylor]: Taking taylor expansion of k in k
0.881 * [backup-simplify]: Simplify 0 into 0
0.881 * [backup-simplify]: Simplify 1 into 1
0.881 * [backup-simplify]: Simplify (/ 1 1) into 1
0.881 * [taylor]: Taking taylor expansion of 1 in k
0.881 * [backup-simplify]: Simplify 1 into 1
0.881 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
0.881 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
0.882 * [taylor]: Taking taylor expansion of -2 in k
0.882 * [backup-simplify]: Simplify -2 into -2
0.882 * [taylor]: Taking taylor expansion of (/ PI n) in k
0.882 * [taylor]: Taking taylor expansion of PI in k
0.882 * [backup-simplify]: Simplify PI into PI
0.882 * [taylor]: Taking taylor expansion of n in k
0.882 * [backup-simplify]: Simplify n into n
0.882 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
0.882 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
0.882 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
0.882 * [backup-simplify]: Simplify (+ 1 0) into 1
0.883 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.883 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
0.883 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
0.883 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
0.883 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
0.883 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
0.883 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
0.883 * [taylor]: Taking taylor expansion of 1/2 in n
0.883 * [backup-simplify]: Simplify 1/2 into 1/2
0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
0.883 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.883 * [taylor]: Taking taylor expansion of k in n
0.883 * [backup-simplify]: Simplify k into k
0.883 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
0.884 * [taylor]: Taking taylor expansion of 1 in n
0.884 * [backup-simplify]: Simplify 1 into 1
0.884 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
0.884 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
0.884 * [taylor]: Taking taylor expansion of -2 in n
0.884 * [backup-simplify]: Simplify -2 into -2
0.884 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.884 * [taylor]: Taking taylor expansion of PI in n
0.884 * [backup-simplify]: Simplify PI into PI
0.884 * [taylor]: Taking taylor expansion of n in n
0.884 * [backup-simplify]: Simplify 0 into 0
0.884 * [backup-simplify]: Simplify 1 into 1
0.884 * [backup-simplify]: Simplify (/ PI 1) into PI
0.885 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
0.886 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
0.886 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
0.886 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
0.887 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.889 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
0.890 * [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)))))
0.890 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
0.890 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
0.890 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
0.890 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
0.890 * [taylor]: Taking taylor expansion of 1/2 in n
0.890 * [backup-simplify]: Simplify 1/2 into 1/2
0.890 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
0.890 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.890 * [taylor]: Taking taylor expansion of k in n
0.890 * [backup-simplify]: Simplify k into k
0.890 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
0.890 * [taylor]: Taking taylor expansion of 1 in n
0.890 * [backup-simplify]: Simplify 1 into 1
0.890 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
0.890 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
0.890 * [taylor]: Taking taylor expansion of -2 in n
0.890 * [backup-simplify]: Simplify -2 into -2
0.890 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.890 * [taylor]: Taking taylor expansion of PI in n
0.890 * [backup-simplify]: Simplify PI into PI
0.890 * [taylor]: Taking taylor expansion of n in n
0.890 * [backup-simplify]: Simplify 0 into 0
0.890 * [backup-simplify]: Simplify 1 into 1
0.891 * [backup-simplify]: Simplify (/ PI 1) into PI
0.891 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
0.892 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
0.893 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
0.893 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
0.894 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.895 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
0.896 * [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)))))
0.896 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
0.897 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
0.897 * [taylor]: Taking taylor expansion of 1/2 in k
0.897 * [backup-simplify]: Simplify 1/2 into 1/2
0.897 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
0.897 * [taylor]: Taking taylor expansion of (/ 1 k) in k
0.897 * [taylor]: Taking taylor expansion of k in k
0.897 * [backup-simplify]: Simplify 0 into 0
0.897 * [backup-simplify]: Simplify 1 into 1
0.897 * [backup-simplify]: Simplify (/ 1 1) into 1
0.897 * [taylor]: Taking taylor expansion of 1 in k
0.897 * [backup-simplify]: Simplify 1 into 1
0.897 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
0.897 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
0.897 * [taylor]: Taking taylor expansion of (* -2 PI) in k
0.897 * [taylor]: Taking taylor expansion of -2 in k
0.897 * [backup-simplify]: Simplify -2 into -2
0.897 * [taylor]: Taking taylor expansion of PI in k
0.897 * [backup-simplify]: Simplify PI into PI
0.898 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
0.899 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
0.899 * [taylor]: Taking taylor expansion of (log n) in k
0.899 * [taylor]: Taking taylor expansion of n in k
0.899 * [backup-simplify]: Simplify n into n
0.899 * [backup-simplify]: Simplify (log n) into (log n)
0.900 * [backup-simplify]: Simplify (+ 1 0) into 1
0.900 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
0.901 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
0.902 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
0.903 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
0.904 * [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)))))
0.905 * [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)))))
0.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
0.908 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
0.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
0.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
0.910 * [backup-simplify]: Simplify (+ 0 0) into 0
0.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
0.913 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.914 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
0.915 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.916 * [taylor]: Taking taylor expansion of 0 in k
0.916 * [backup-simplify]: Simplify 0 into 0
0.916 * [backup-simplify]: Simplify 0 into 0
0.916 * [backup-simplify]: Simplify 0 into 0
0.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.918 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
0.921 * [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
0.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.922 * [backup-simplify]: Simplify (+ 0 0) into 0
0.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
0.925 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.926 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
0.929 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.929 * [taylor]: Taking taylor expansion of 0 in k
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 0 into 0
0.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.931 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
0.938 * [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
0.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.938 * [backup-simplify]: Simplify (+ 0 0) into 0
0.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
0.941 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.943 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
0.946 * [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
0.946 * [taylor]: Taking taylor expansion of 0 in k
0.946 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify 0 into 0
0.947 * [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))))))
0.947 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
0.948 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
0.948 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
0.948 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.948 * [taylor]: Taking taylor expansion of 2 in n
0.948 * [backup-simplify]: Simplify 2 into 2
0.948 * [taylor]: Taking taylor expansion of (* n PI) in n
0.948 * [taylor]: Taking taylor expansion of n in n
0.948 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify 1 into 1
0.948 * [taylor]: Taking taylor expansion of PI in n
0.948 * [backup-simplify]: Simplify PI into PI
0.948 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.948 * [taylor]: Taking taylor expansion of 2 in n
0.948 * [backup-simplify]: Simplify 2 into 2
0.948 * [taylor]: Taking taylor expansion of (* n PI) in n
0.948 * [taylor]: Taking taylor expansion of n in n
0.948 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify 1 into 1
0.948 * [taylor]: Taking taylor expansion of PI in n
0.948 * [backup-simplify]: Simplify PI into PI
0.949 * [backup-simplify]: Simplify (* 0 PI) into 0
0.949 * [backup-simplify]: Simplify (* 2 0) into 0
0.949 * [backup-simplify]: Simplify 0 into 0
0.951 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
0.952 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
0.953 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
0.955 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
0.955 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
0.957 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
0.957 * [backup-simplify]: Simplify 0 into 0
0.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
0.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
0.960 * [backup-simplify]: Simplify 0 into 0
0.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
0.963 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
0.963 * [backup-simplify]: Simplify 0 into 0
0.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
0.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
0.969 * [backup-simplify]: Simplify 0 into 0
0.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
0.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
0.973 * [backup-simplify]: Simplify 0 into 0
0.974 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
0.974 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
0.974 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
0.974 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
0.974 * [taylor]: Taking taylor expansion of 2 in n
0.975 * [backup-simplify]: Simplify 2 into 2
0.975 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.975 * [taylor]: Taking taylor expansion of PI in n
0.975 * [backup-simplify]: Simplify PI into PI
0.975 * [taylor]: Taking taylor expansion of n in n
0.975 * [backup-simplify]: Simplify 0 into 0
0.975 * [backup-simplify]: Simplify 1 into 1
0.975 * [backup-simplify]: Simplify (/ PI 1) into PI
0.975 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
0.975 * [taylor]: Taking taylor expansion of 2 in n
0.975 * [backup-simplify]: Simplify 2 into 2
0.975 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.975 * [taylor]: Taking taylor expansion of PI in n
0.975 * [backup-simplify]: Simplify PI into PI
0.975 * [taylor]: Taking taylor expansion of n in n
0.975 * [backup-simplify]: Simplify 0 into 0
0.975 * [backup-simplify]: Simplify 1 into 1
0.976 * [backup-simplify]: Simplify (/ PI 1) into PI
0.976 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.977 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
0.978 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
0.979 * [backup-simplify]: Simplify 0 into 0
0.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.981 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
0.981 * [backup-simplify]: Simplify 0 into 0
0.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
0.983 * [backup-simplify]: Simplify 0 into 0
0.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.985 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
0.985 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
0.988 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.991 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
0.992 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
0.992 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
0.992 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
0.992 * [taylor]: Taking taylor expansion of -2 in n
0.992 * [backup-simplify]: Simplify -2 into -2
0.992 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.992 * [taylor]: Taking taylor expansion of PI in n
0.992 * [backup-simplify]: Simplify PI into PI
0.992 * [taylor]: Taking taylor expansion of n in n
0.992 * [backup-simplify]: Simplify 0 into 0
0.992 * [backup-simplify]: Simplify 1 into 1
0.993 * [backup-simplify]: Simplify (/ PI 1) into PI
0.993 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
0.993 * [taylor]: Taking taylor expansion of -2 in n
0.993 * [backup-simplify]: Simplify -2 into -2
0.993 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.993 * [taylor]: Taking taylor expansion of PI in n
0.993 * [backup-simplify]: Simplify PI into PI
0.993 * [taylor]: Taking taylor expansion of n in n
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify 1 into 1
0.993 * [backup-simplify]: Simplify (/ PI 1) into PI
0.994 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
0.994 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
0.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
0.996 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
0.996 * [backup-simplify]: Simplify 0 into 0
0.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.998 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
0.998 * [backup-simplify]: Simplify 0 into 0
0.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.000 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.001 * [backup-simplify]: Simplify 0 into 0
1.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.003 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1.003 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.006 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1.006 * [backup-simplify]: Simplify 0 into 0
1.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.009 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1.009 * [backup-simplify]: Simplify 0 into 0
1.009 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1.009 * * * * [progress]: [ 3 / 3 ] generating series at (2)
1.010 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
1.010 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
1.010 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1.010 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1.010 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1.010 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1.010 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1.010 * [taylor]: Taking taylor expansion of 1/2 in k
1.010 * [backup-simplify]: Simplify 1/2 into 1/2
1.010 * [taylor]: Taking taylor expansion of (- 1 k) in k
1.010 * [taylor]: Taking taylor expansion of 1 in k
1.010 * [backup-simplify]: Simplify 1 into 1
1.010 * [taylor]: Taking taylor expansion of k in k
1.010 * [backup-simplify]: Simplify 0 into 0
1.011 * [backup-simplify]: Simplify 1 into 1
1.011 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1.011 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1.011 * [taylor]: Taking taylor expansion of 2 in k
1.011 * [backup-simplify]: Simplify 2 into 2
1.011 * [taylor]: Taking taylor expansion of (* n PI) in k
1.011 * [taylor]: Taking taylor expansion of n in k
1.011 * [backup-simplify]: Simplify n into n
1.011 * [taylor]: Taking taylor expansion of PI in k
1.011 * [backup-simplify]: Simplify PI into PI
1.011 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1.011 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1.011 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1.011 * [backup-simplify]: Simplify (- 0) into 0
1.012 * [backup-simplify]: Simplify (+ 1 0) into 1
1.012 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.013 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1.013 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1.013 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1.013 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.013 * [taylor]: Taking taylor expansion of k in k
1.013 * [backup-simplify]: Simplify 0 into 0
1.013 * [backup-simplify]: Simplify 1 into 1
1.013 * [backup-simplify]: Simplify (/ 1 1) into 1
1.014 * [backup-simplify]: Simplify (sqrt 0) into 0
1.016 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.016 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1.016 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1.016 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1.016 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1.016 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1.016 * [taylor]: Taking taylor expansion of 1/2 in n
1.016 * [backup-simplify]: Simplify 1/2 into 1/2
1.016 * [taylor]: Taking taylor expansion of (- 1 k) in n
1.016 * [taylor]: Taking taylor expansion of 1 in n
1.016 * [backup-simplify]: Simplify 1 into 1
1.016 * [taylor]: Taking taylor expansion of k in n
1.016 * [backup-simplify]: Simplify k into k
1.016 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.016 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.016 * [taylor]: Taking taylor expansion of 2 in n
1.016 * [backup-simplify]: Simplify 2 into 2
1.016 * [taylor]: Taking taylor expansion of (* n PI) in n
1.016 * [taylor]: Taking taylor expansion of n in n
1.017 * [backup-simplify]: Simplify 0 into 0
1.017 * [backup-simplify]: Simplify 1 into 1
1.017 * [taylor]: Taking taylor expansion of PI in n
1.017 * [backup-simplify]: Simplify PI into PI
1.017 * [backup-simplify]: Simplify (* 0 PI) into 0
1.017 * [backup-simplify]: Simplify (* 2 0) into 0
1.019 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.021 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.022 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.022 * [backup-simplify]: Simplify (- k) into (- k)
1.022 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1.022 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1.023 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.024 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1.025 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1.025 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1.025 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.025 * [taylor]: Taking taylor expansion of k in n
1.025 * [backup-simplify]: Simplify k into k
1.025 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.025 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1.025 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1.025 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1.025 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1.025 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1.025 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1.025 * [taylor]: Taking taylor expansion of 1/2 in n
1.025 * [backup-simplify]: Simplify 1/2 into 1/2
1.025 * [taylor]: Taking taylor expansion of (- 1 k) in n
1.025 * [taylor]: Taking taylor expansion of 1 in n
1.025 * [backup-simplify]: Simplify 1 into 1
1.025 * [taylor]: Taking taylor expansion of k in n
1.025 * [backup-simplify]: Simplify k into k
1.025 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.025 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.025 * [taylor]: Taking taylor expansion of 2 in n
1.025 * [backup-simplify]: Simplify 2 into 2
1.025 * [taylor]: Taking taylor expansion of (* n PI) in n
1.025 * [taylor]: Taking taylor expansion of n in n
1.025 * [backup-simplify]: Simplify 0 into 0
1.025 * [backup-simplify]: Simplify 1 into 1
1.025 * [taylor]: Taking taylor expansion of PI in n
1.025 * [backup-simplify]: Simplify PI into PI
1.026 * [backup-simplify]: Simplify (* 0 PI) into 0
1.026 * [backup-simplify]: Simplify (* 2 0) into 0
1.027 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.028 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.029 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.029 * [backup-simplify]: Simplify (- k) into (- k)
1.029 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1.029 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1.030 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.030 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1.031 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1.031 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1.031 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.031 * [taylor]: Taking taylor expansion of k in n
1.031 * [backup-simplify]: Simplify k into k
1.031 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.031 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1.032 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k)))
1.032 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
1.032 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1.032 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1.032 * [taylor]: Taking taylor expansion of 1/2 in k
1.032 * [backup-simplify]: Simplify 1/2 into 1/2
1.032 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1.032 * [taylor]: Taking taylor expansion of (- 1 k) in k
1.032 * [taylor]: Taking taylor expansion of 1 in k
1.032 * [backup-simplify]: Simplify 1 into 1
1.032 * [taylor]: Taking taylor expansion of k in k
1.032 * [backup-simplify]: Simplify 0 into 0
1.032 * [backup-simplify]: Simplify 1 into 1
1.032 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1.032 * [taylor]: Taking taylor expansion of (log n) in k
1.032 * [taylor]: Taking taylor expansion of n in k
1.032 * [backup-simplify]: Simplify n into n
1.032 * [backup-simplify]: Simplify (log n) into (log n)
1.032 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.032 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.032 * [taylor]: Taking taylor expansion of 2 in k
1.032 * [backup-simplify]: Simplify 2 into 2
1.032 * [taylor]: Taking taylor expansion of PI in k
1.032 * [backup-simplify]: Simplify PI into PI
1.033 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.033 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.033 * [backup-simplify]: Simplify (- 0) into 0
1.034 * [backup-simplify]: Simplify (+ 1 0) into 1
1.034 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.035 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1.036 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1.036 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.036 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1.036 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.036 * [taylor]: Taking taylor expansion of k in k
1.036 * [backup-simplify]: Simplify 0 into 0
1.036 * [backup-simplify]: Simplify 1 into 1
1.037 * [backup-simplify]: Simplify (/ 1 1) into 1
1.037 * [backup-simplify]: Simplify (sqrt 0) into 0
1.038 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.038 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1.038 * [backup-simplify]: Simplify 0 into 0
1.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.040 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.041 * [backup-simplify]: Simplify (- 0) into 0
1.041 * [backup-simplify]: Simplify (+ 0 0) into 0
1.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1.042 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.043 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1.044 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.045 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
1.045 * [taylor]: Taking taylor expansion of 0 in k
1.045 * [backup-simplify]: Simplify 0 into 0
1.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1.046 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.047 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.047 * [backup-simplify]: Simplify (+ 0 0) into 0
1.047 * [backup-simplify]: Simplify (- 1) into -1
1.047 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.048 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1.050 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1.051 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.055 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.056 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.057 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.063 * [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
1.064 * [backup-simplify]: Simplify (- 0) into 0
1.064 * [backup-simplify]: Simplify (+ 0 0) into 0
1.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1.067 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.068 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.071 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.073 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
1.073 * [taylor]: Taking taylor expansion of 0 in k
1.073 * [backup-simplify]: Simplify 0 into 0
1.073 * [backup-simplify]: Simplify 0 into 0
1.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.077 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.081 * [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
1.082 * [backup-simplify]: Simplify (+ 0 0) into 0
1.082 * [backup-simplify]: Simplify (- 0) into 0
1.082 * [backup-simplify]: Simplify (+ 0 0) into 0
1.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.087 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1.096 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
1.099 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
1.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1.101 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1.104 * [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
1.105 * [backup-simplify]: Simplify (- 0) into 0
1.105 * [backup-simplify]: Simplify (+ 0 0) into 0
1.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
1.107 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.108 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1.110 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.112 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
1.112 * [taylor]: Taking taylor expansion of 0 in k
1.112 * [backup-simplify]: Simplify 0 into 0
1.112 * [backup-simplify]: Simplify 0 into 0
1.112 * [backup-simplify]: Simplify 0 into 0
1.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1.117 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
1.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.121 * [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
1.122 * [backup-simplify]: Simplify (+ 0 0) into 0
1.122 * [backup-simplify]: Simplify (- 0) into 0
1.122 * [backup-simplify]: Simplify (+ 0 0) into 0
1.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1.130 * [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)))))))
1.140 * [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))))))))))))))
1.151 * [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))))))))))))))
1.170 * [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))))))))))))))))))))))
1.171 * [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))
1.171 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
1.171 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1.171 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1.171 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1.171 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1.171 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1.171 * [taylor]: Taking taylor expansion of 1/2 in k
1.171 * [backup-simplify]: Simplify 1/2 into 1/2
1.171 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.171 * [taylor]: Taking taylor expansion of 1 in k
1.171 * [backup-simplify]: Simplify 1 into 1
1.171 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.171 * [taylor]: Taking taylor expansion of k in k
1.171 * [backup-simplify]: Simplify 0 into 0
1.171 * [backup-simplify]: Simplify 1 into 1
1.171 * [backup-simplify]: Simplify (/ 1 1) into 1
1.171 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1.171 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1.171 * [taylor]: Taking taylor expansion of 2 in k
1.172 * [backup-simplify]: Simplify 2 into 2
1.172 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.172 * [taylor]: Taking taylor expansion of PI in k
1.172 * [backup-simplify]: Simplify PI into PI
1.172 * [taylor]: Taking taylor expansion of n in k
1.172 * [backup-simplify]: Simplify n into n
1.172 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.172 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1.172 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1.172 * [backup-simplify]: Simplify (- 1) into -1
1.173 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.173 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1.173 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1.173 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1.173 * [taylor]: Taking taylor expansion of (sqrt k) in k
1.174 * [taylor]: Taking taylor expansion of k in k
1.174 * [backup-simplify]: Simplify 0 into 0
1.174 * [backup-simplify]: Simplify 1 into 1
1.174 * [backup-simplify]: Simplify (sqrt 0) into 0
1.175 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.175 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1.176 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.176 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.176 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.176 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.176 * [taylor]: Taking taylor expansion of 1/2 in n
1.176 * [backup-simplify]: Simplify 1/2 into 1/2
1.176 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.176 * [taylor]: Taking taylor expansion of 1 in n
1.176 * [backup-simplify]: Simplify 1 into 1
1.176 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.176 * [taylor]: Taking taylor expansion of k in n
1.176 * [backup-simplify]: Simplify k into k
1.176 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.176 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.176 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.176 * [taylor]: Taking taylor expansion of 2 in n
1.176 * [backup-simplify]: Simplify 2 into 2
1.176 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.176 * [taylor]: Taking taylor expansion of PI in n
1.176 * [backup-simplify]: Simplify PI into PI
1.176 * [taylor]: Taking taylor expansion of n in n
1.176 * [backup-simplify]: Simplify 0 into 0
1.176 * [backup-simplify]: Simplify 1 into 1
1.177 * [backup-simplify]: Simplify (/ PI 1) into PI
1.178 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.179 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.179 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.179 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.179 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.180 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.181 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.182 * [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)))))
1.183 * [taylor]: Taking taylor expansion of (sqrt k) in n
1.183 * [taylor]: Taking taylor expansion of k in n
1.183 * [backup-simplify]: Simplify k into k
1.183 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1.183 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1.183 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.183 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.183 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.183 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.183 * [taylor]: Taking taylor expansion of 1/2 in n
1.183 * [backup-simplify]: Simplify 1/2 into 1/2
1.183 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.183 * [taylor]: Taking taylor expansion of 1 in n
1.183 * [backup-simplify]: Simplify 1 into 1
1.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.183 * [taylor]: Taking taylor expansion of k in n
1.183 * [backup-simplify]: Simplify k into k
1.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.183 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.183 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.183 * [taylor]: Taking taylor expansion of 2 in n
1.183 * [backup-simplify]: Simplify 2 into 2
1.183 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.183 * [taylor]: Taking taylor expansion of PI in n
1.183 * [backup-simplify]: Simplify PI into PI
1.183 * [taylor]: Taking taylor expansion of n in n
1.183 * [backup-simplify]: Simplify 0 into 0
1.183 * [backup-simplify]: Simplify 1 into 1
1.184 * [backup-simplify]: Simplify (/ PI 1) into PI
1.184 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.185 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.185 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.185 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.185 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.186 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.186 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.187 * [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)))))
1.187 * [taylor]: Taking taylor expansion of (sqrt k) in n
1.187 * [taylor]: Taking taylor expansion of k in n
1.187 * [backup-simplify]: Simplify k into k
1.187 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1.188 * [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))
1.188 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
1.188 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1.188 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1.188 * [taylor]: Taking taylor expansion of 1/2 in k
1.188 * [backup-simplify]: Simplify 1/2 into 1/2
1.188 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1.188 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.188 * [taylor]: Taking taylor expansion of 1 in k
1.188 * [backup-simplify]: Simplify 1 into 1
1.188 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.188 * [taylor]: Taking taylor expansion of k in k
1.188 * [backup-simplify]: Simplify 0 into 0
1.188 * [backup-simplify]: Simplify 1 into 1
1.188 * [backup-simplify]: Simplify (/ 1 1) into 1
1.188 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1.188 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.188 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.188 * [taylor]: Taking taylor expansion of 2 in k
1.188 * [backup-simplify]: Simplify 2 into 2
1.188 * [taylor]: Taking taylor expansion of PI in k
1.188 * [backup-simplify]: Simplify PI into PI
1.189 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.189 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.189 * [taylor]: Taking taylor expansion of (log n) in k
1.189 * [taylor]: Taking taylor expansion of n in k
1.189 * [backup-simplify]: Simplify n into n
1.189 * [backup-simplify]: Simplify (log n) into (log n)
1.190 * [backup-simplify]: Simplify (- 1) into -1
1.190 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.190 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.191 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1.191 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1.192 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1.194 * [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)))))
1.194 * [taylor]: Taking taylor expansion of (sqrt k) in k
1.194 * [taylor]: Taking taylor expansion of k in k
1.194 * [backup-simplify]: Simplify 0 into 0
1.194 * [backup-simplify]: Simplify 1 into 1
1.195 * [backup-simplify]: Simplify (sqrt 0) into 0
1.196 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.196 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
1.196 * [backup-simplify]: Simplify 0 into 0
1.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.198 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.199 * [backup-simplify]: Simplify (- 0) into 0
1.199 * [backup-simplify]: Simplify (+ 0 0) into 0
1.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1.200 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.201 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1.202 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.203 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
1.203 * [taylor]: Taking taylor expansion of 0 in k
1.203 * [backup-simplify]: Simplify 0 into 0
1.203 * [backup-simplify]: Simplify 0 into 0
1.204 * [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)))))))
1.205 * [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)))))))
1.205 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.209 * [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
1.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.209 * [backup-simplify]: Simplify (- 0) into 0
1.209 * [backup-simplify]: Simplify (+ 0 0) into 0
1.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1.211 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.212 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1.213 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.214 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
1.214 * [taylor]: Taking taylor expansion of 0 in k
1.214 * [backup-simplify]: Simplify 0 into 0
1.214 * [backup-simplify]: Simplify 0 into 0
1.214 * [backup-simplify]: Simplify 0 into 0
1.216 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.217 * [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)))))))
1.218 * [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)))))))
1.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.220 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.225 * [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
1.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.226 * [backup-simplify]: Simplify (- 0) into 0
1.227 * [backup-simplify]: Simplify (+ 0 0) into 0
1.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1.229 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.231 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1.234 * [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
1.236 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
1.236 * [taylor]: Taking taylor expansion of 0 in k
1.236 * [backup-simplify]: Simplify 0 into 0
1.236 * [backup-simplify]: Simplify 0 into 0
1.236 * [backup-simplify]: Simplify 0 into 0
1.236 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1.241 * [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)))))))
1.242 * [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)))))))
1.244 * [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))))))))
1.245 * [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)))
1.245 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0
1.245 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1.245 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1.245 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1.245 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1.245 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1.245 * [taylor]: Taking taylor expansion of 1/2 in k
1.245 * [backup-simplify]: Simplify 1/2 into 1/2
1.245 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1.245 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.245 * [taylor]: Taking taylor expansion of k in k
1.245 * [backup-simplify]: Simplify 0 into 0
1.245 * [backup-simplify]: Simplify 1 into 1
1.245 * [backup-simplify]: Simplify (/ 1 1) into 1
1.245 * [taylor]: Taking taylor expansion of 1 in k
1.245 * [backup-simplify]: Simplify 1 into 1
1.245 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1.246 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1.246 * [taylor]: Taking taylor expansion of -2 in k
1.246 * [backup-simplify]: Simplify -2 into -2
1.246 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.246 * [taylor]: Taking taylor expansion of PI in k
1.246 * [backup-simplify]: Simplify PI into PI
1.246 * [taylor]: Taking taylor expansion of n in k
1.246 * [backup-simplify]: Simplify n into n
1.246 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.246 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1.246 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1.246 * [backup-simplify]: Simplify (+ 1 0) into 1
1.246 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.246 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1.247 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1.247 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1.247 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1.247 * [taylor]: Taking taylor expansion of -1 in k
1.247 * [backup-simplify]: Simplify -1 into -1
1.247 * [taylor]: Taking taylor expansion of k in k
1.247 * [backup-simplify]: Simplify 0 into 0
1.247 * [backup-simplify]: Simplify 1 into 1
1.247 * [backup-simplify]: Simplify (/ -1 1) into -1
1.247 * [backup-simplify]: Simplify (sqrt 0) into 0
1.248 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1.248 * [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)))))
1.248 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1.248 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1.248 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1.248 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1.248 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1.249 * [taylor]: Taking taylor expansion of 1/2 in n
1.249 * [backup-simplify]: Simplify 1/2 into 1/2
1.249 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1.249 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.249 * [taylor]: Taking taylor expansion of k in n
1.249 * [backup-simplify]: Simplify k into k
1.249 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.249 * [taylor]: Taking taylor expansion of 1 in n
1.249 * [backup-simplify]: Simplify 1 into 1
1.249 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.249 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.249 * [taylor]: Taking taylor expansion of -2 in n
1.249 * [backup-simplify]: Simplify -2 into -2
1.249 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.249 * [taylor]: Taking taylor expansion of PI in n
1.249 * [backup-simplify]: Simplify PI into PI
1.249 * [taylor]: Taking taylor expansion of n in n
1.249 * [backup-simplify]: Simplify 0 into 0
1.249 * [backup-simplify]: Simplify 1 into 1
1.249 * [backup-simplify]: Simplify (/ PI 1) into PI
1.249 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.250 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.250 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1.250 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1.251 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.252 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1.253 * [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)))))
1.253 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1.253 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1.253 * [taylor]: Taking taylor expansion of -1 in n
1.253 * [backup-simplify]: Simplify -1 into -1
1.253 * [taylor]: Taking taylor expansion of k in n
1.253 * [backup-simplify]: Simplify k into k
1.253 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1.253 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1.253 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1.254 * [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)))
1.254 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1.254 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1.254 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1.254 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1.254 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1.254 * [taylor]: Taking taylor expansion of 1/2 in n
1.254 * [backup-simplify]: Simplify 1/2 into 1/2
1.254 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1.254 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.254 * [taylor]: Taking taylor expansion of k in n
1.254 * [backup-simplify]: Simplify k into k
1.254 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.254 * [taylor]: Taking taylor expansion of 1 in n
1.254 * [backup-simplify]: Simplify 1 into 1
1.254 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.254 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.254 * [taylor]: Taking taylor expansion of -2 in n
1.254 * [backup-simplify]: Simplify -2 into -2
1.254 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.254 * [taylor]: Taking taylor expansion of PI in n
1.254 * [backup-simplify]: Simplify PI into PI
1.254 * [taylor]: Taking taylor expansion of n in n
1.254 * [backup-simplify]: Simplify 0 into 0
1.254 * [backup-simplify]: Simplify 1 into 1
1.254 * [backup-simplify]: Simplify (/ PI 1) into PI
1.255 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.255 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.255 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1.256 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1.256 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.257 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1.258 * [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)))))
1.258 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1.258 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1.258 * [taylor]: Taking taylor expansion of -1 in n
1.258 * [backup-simplify]: Simplify -1 into -1
1.258 * [taylor]: Taking taylor expansion of k in n
1.258 * [backup-simplify]: Simplify k into k
1.258 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1.258 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1.258 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1.259 * [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)))
1.259 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
1.259 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1.259 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1.259 * [taylor]: Taking taylor expansion of 1/2 in k
1.259 * [backup-simplify]: Simplify 1/2 into 1/2
1.259 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1.259 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.259 * [taylor]: Taking taylor expansion of k in k
1.259 * [backup-simplify]: Simplify 0 into 0
1.259 * [backup-simplify]: Simplify 1 into 1
1.259 * [backup-simplify]: Simplify (/ 1 1) into 1
1.259 * [taylor]: Taking taylor expansion of 1 in k
1.259 * [backup-simplify]: Simplify 1 into 1
1.259 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1.259 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1.259 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1.259 * [taylor]: Taking taylor expansion of -2 in k
1.259 * [backup-simplify]: Simplify -2 into -2
1.259 * [taylor]: Taking taylor expansion of PI in k
1.259 * [backup-simplify]: Simplify PI into PI
1.260 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.260 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.260 * [taylor]: Taking taylor expansion of (log n) in k
1.260 * [taylor]: Taking taylor expansion of n in k
1.260 * [backup-simplify]: Simplify n into n
1.261 * [backup-simplify]: Simplify (log n) into (log n)
1.261 * [backup-simplify]: Simplify (+ 1 0) into 1
1.261 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.261 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1.262 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1.263 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1.263 * [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)))))
1.263 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1.263 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1.263 * [taylor]: Taking taylor expansion of -1 in k
1.263 * [backup-simplify]: Simplify -1 into -1
1.263 * [taylor]: Taking taylor expansion of k in k
1.264 * [backup-simplify]: Simplify 0 into 0
1.264 * [backup-simplify]: Simplify 1 into 1
1.264 * [backup-simplify]: Simplify (/ -1 1) into -1
1.264 * [backup-simplify]: Simplify (sqrt 0) into 0
1.265 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1.266 * [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))))))
1.267 * [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))))))
1.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.268 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.270 * [backup-simplify]: Simplify (+ 0 0) into 0
1.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1.271 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.272 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1.273 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.274 * [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
1.274 * [taylor]: Taking taylor expansion of 0 in k
1.274 * [backup-simplify]: Simplify 0 into 0
1.274 * [backup-simplify]: Simplify 0 into 0
1.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.276 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.277 * [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)))))))
1.278 * [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)))))))
1.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.279 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1.283 * [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
1.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.284 * [backup-simplify]: Simplify (+ 0 0) into 0
1.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1.286 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.288 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1.290 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.291 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.291 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1.293 * [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
1.293 * [taylor]: Taking taylor expansion of 0 in k
1.293 * [backup-simplify]: Simplify 0 into 0
1.293 * [backup-simplify]: Simplify 0 into 0
1.293 * [backup-simplify]: Simplify 0 into 0
1.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1.305 * [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)))))))
1.306 * [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)))))))
1.310 * [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))))))))))))
1.310 * * * [progress]: simplifying candidates
1.310 * * * * [progress]: [ 1 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1.311 * * * * [progress]: [ 2 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1.311 * * * * [progress]: [ 3 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) (sqrt k)))>
1.311 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))
1.311 * * [simplify]: iters left: 6 (13 enodes)
1.320 * * [simplify]: iters left: 5 (54 enodes)
1.339 * * [simplify]: iters left: 4 (97 enodes)
1.382 * * [simplify]: iters left: 3 (250 enodes)
1.474 * * [simplify]: Extracting #0: cost 1 inf + 0
1.474 * * [simplify]: Extracting #1: cost 34 inf + 0
1.474 * * [simplify]: Extracting #2: cost 100 inf + 73
1.475 * * [simplify]: Extracting #3: cost 126 inf + 1867
1.478 * * [simplify]: Extracting #4: cost 46 inf + 20363
1.484 * * [simplify]: Extracting #5: cost 5 inf + 31901
1.491 * * [simplify]: Extracting #6: cost 0 inf + 33789
1.507 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)
1.507 * [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)))
1.507 * * * * [progress]: [ 4 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
1.508 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))
1.508 * * [simplify]: iters left: 6 (12 enodes)
1.516 * * [simplify]: iters left: 5 (52 enodes)
1.530 * * [simplify]: iters left: 4 (90 enodes)
1.548 * * [simplify]: iters left: 3 (207 enodes)
1.639 * * [simplify]: Extracting #0: cost 1 inf + 0
1.639 * * [simplify]: Extracting #1: cost 29 inf + 0
1.640 * * [simplify]: Extracting #2: cost 88 inf + 73
1.640 * * [simplify]: Extracting #3: cost 117 inf + 443
1.641 * * [simplify]: Extracting #4: cost 77 inf + 5789
1.645 * * [simplify]: Extracting #5: cost 28 inf + 17508
1.654 * * [simplify]: Extracting #6: cost 0 inf + 26056
1.665 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)
1.665 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k)))
1.665 * * * * [progress]: [ 5 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
1.666 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
1.666 * * [simplify]: iters left: 6 (11 enodes)
1.674 * * [simplify]: iters left: 5 (51 enodes)
1.684 * * [simplify]: iters left: 4 (97 enodes)
1.706 * * [simplify]: iters left: 3 (201 enodes)
1.776 * * [simplify]: Extracting #0: cost 1 inf + 0
1.776 * * [simplify]: Extracting #1: cost 31 inf + 0
1.777 * * [simplify]: Extracting #2: cost 94 inf + 2
1.778 * * [simplify]: Extracting #3: cost 127 inf + 355
1.781 * * [simplify]: Extracting #4: cost 75 inf + 7402
1.787 * * [simplify]: Extracting #5: cost 31 inf + 16283
1.797 * * [simplify]: Extracting #6: cost 3 inf + 23308
1.811 * * [simplify]: Extracting #7: cost 0 inf + 24140
1.822 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)
1.822 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k)))
1.822 * * * * [progress]: [ 6 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
1.822 * * * * [progress]: [ 7 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
1.822 * [simplify]: Simplifying (* n (* 2 PI))
1.822 * * [simplify]: iters left: 4 (5 enodes)
1.826 * * [simplify]: iters left: 3 (19 enodes)
1.832 * * [simplify]: iters left: 2 (27 enodes)
1.841 * * [simplify]: iters left: 1 (32 enodes)
1.850 * * [simplify]: Extracting #0: cost 1 inf + 0
1.850 * * [simplify]: Extracting #1: cost 8 inf + 0
1.850 * * [simplify]: Extracting #2: cost 7 inf + 45
1.851 * * [simplify]: Extracting #3: cost 0 inf + 421
1.851 * [simplify]: Simplified to (* (* PI 2) n)
1.851 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
1.851 * * * * [progress]: [ 8 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
1.852 * [simplify]: Simplifying (* n (* 2 PI))
1.852 * * [simplify]: iters left: 4 (5 enodes)
1.855 * * [simplify]: iters left: 3 (19 enodes)
1.862 * * [simplify]: iters left: 2 (27 enodes)
1.871 * * [simplify]: iters left: 1 (32 enodes)
1.879 * * [simplify]: Extracting #0: cost 1 inf + 0
1.880 * * [simplify]: Extracting #1: cost 8 inf + 0
1.880 * * [simplify]: Extracting #2: cost 7 inf + 45
1.880 * * [simplify]: Extracting #3: cost 0 inf + 421
1.880 * [simplify]: Simplified to (* (* PI 2) n)
1.880 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
1.880 * * * * [progress]: [ 9 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
1.880 * [simplify]: Simplifying (* n (* 2 PI))
1.880 * * [simplify]: iters left: 4 (5 enodes)
1.882 * * [simplify]: iters left: 3 (19 enodes)
1.885 * * [simplify]: iters left: 2 (27 enodes)
1.890 * * [simplify]: iters left: 1 (32 enodes)
1.894 * * [simplify]: Extracting #0: cost 1 inf + 0
1.894 * * [simplify]: Extracting #1: cost 8 inf + 0
1.894 * * [simplify]: Extracting #2: cost 7 inf + 45
1.895 * * [simplify]: Extracting #3: cost 0 inf + 421
1.895 * [simplify]: Simplified to (* (* PI 2) n)
1.895 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
1.895 * * * * [progress]: [ 10 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
1.895 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2))
1.895 * * [simplify]: iters left: 5 (8 enodes)
1.897 * * [simplify]: iters left: 4 (31 enodes)
1.906 * * [simplify]: iters left: 3 (51 enodes)
1.920 * * [simplify]: iters left: 2 (85 enodes)
1.952 * * [simplify]: iters left: 1 (152 enodes)
2.010 * * [simplify]: Extracting #0: cost 1 inf + 0
2.010 * * [simplify]: Extracting #1: cost 13 inf + 0
2.010 * * [simplify]: Extracting #2: cost 59 inf + 1
2.011 * * [simplify]: Extracting #3: cost 76 inf + 9
2.012 * * [simplify]: Extracting #4: cost 41 inf + 3303
2.015 * * [simplify]: Extracting #5: cost 16 inf + 10676
2.020 * * [simplify]: Extracting #6: cost 0 inf + 21028
2.025 * * [simplify]: Extracting #7: cost 0 inf + 20456
2.030 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
2.030 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
2.030 * * * * [progress]: [ 11 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))>
2.031 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2))
2.031 * * [simplify]: iters left: 5 (6 enodes)
2.035 * * [simplify]: iters left: 4 (26 enodes)
2.043 * * [simplify]: iters left: 3 (35 enodes)
2.054 * * [simplify]: Extracting #0: cost 1 inf + 0
2.054 * * [simplify]: Extracting #1: cost 3 inf + 0
2.054 * * [simplify]: Extracting #2: cost 8 inf + 0
2.054 * * [simplify]: Extracting #3: cost 11 inf + 2
2.054 * * [simplify]: Extracting #4: cost 8 inf + 87
2.054 * * [simplify]: Extracting #5: cost 2 inf + 500
2.055 * * [simplify]: Extracting #6: cost 0 inf + 746
2.055 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2))
2.055 * [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)))
2.055 * * * * [progress]: [ 12 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))>
2.056 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2))
2.056 * * [simplify]: iters left: 5 (6 enodes)
2.060 * * [simplify]: iters left: 4 (26 enodes)
2.069 * * [simplify]: iters left: 3 (35 enodes)
2.080 * * [simplify]: Extracting #0: cost 1 inf + 0
2.080 * * [simplify]: Extracting #1: cost 3 inf + 0
2.080 * * [simplify]: Extracting #2: cost 8 inf + 0
2.080 * * [simplify]: Extracting #3: cost 11 inf + 2
2.080 * * [simplify]: Extracting #4: cost 8 inf + 87
2.080 * * [simplify]: Extracting #5: cost 2 inf + 460
2.080 * * [simplify]: Extracting #6: cost 0 inf + 666
2.081 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2))
2.081 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))
2.081 * * * * [progress]: [ 13 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k)))>
2.081 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2))
2.081 * * [simplify]: iters left: 5 (7 enodes)
2.083 * * [simplify]: iters left: 4 (25 enodes)
2.090 * * [simplify]: iters left: 3 (30 enodes)
2.096 * * [simplify]: Extracting #0: cost 1 inf + 0
2.096 * * [simplify]: Extracting #1: cost 4 inf + 0
2.096 * * [simplify]: Extracting #2: cost 8 inf + 0
2.096 * * [simplify]: Extracting #3: cost 10 inf + 82
2.096 * * [simplify]: Extracting #4: cost 7 inf + 206
2.097 * * [simplify]: Extracting #5: cost 2 inf + 575
2.097 * * [simplify]: Extracting #6: cost 1 inf + 818
2.097 * * [simplify]: Extracting #7: cost 0 inf + 1061
2.097 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2))
2.097 * [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)))
2.097 * * * * [progress]: [ 14 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k)))>
2.097 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2))
2.097 * * [simplify]: iters left: 5 (7 enodes)
2.100 * * [simplify]: iters left: 4 (25 enodes)
2.105 * * [simplify]: iters left: 3 (30 enodes)
2.112 * * [simplify]: Extracting #0: cost 1 inf + 0
2.113 * * [simplify]: Extracting #1: cost 4 inf + 0
2.113 * * [simplify]: Extracting #2: cost 8 inf + 0
2.113 * * [simplify]: Extracting #3: cost 10 inf + 42
2.113 * * [simplify]: Extracting #4: cost 7 inf + 126
2.113 * * [simplify]: Extracting #5: cost 2 inf + 495
2.113 * * [simplify]: Extracting #6: cost 1 inf + 698
2.114 * * [simplify]: Extracting #7: cost 0 inf + 901
2.114 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2))
2.114 * [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)))
2.114 * * * * [progress]: [ 15 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k)))>
2.115 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2)
2.115 * * [simplify]: iters left: 5 (6 enodes)
2.118 * * [simplify]: iters left: 4 (22 enodes)
2.126 * * [simplify]: iters left: 3 (27 enodes)
2.132 * * [simplify]: Extracting #0: cost 1 inf + 0
2.132 * * [simplify]: Extracting #1: cost 4 inf + 0
2.132 * * [simplify]: Extracting #2: cost 5 inf + 1
2.132 * * [simplify]: Extracting #3: cost 9 inf + 1
2.132 * * [simplify]: Extracting #4: cost 8 inf + 3
2.132 * * [simplify]: Extracting #5: cost 4 inf + 169
2.132 * * [simplify]: Extracting #6: cost 1 inf + 576
2.132 * * [simplify]: Extracting #7: cost 0 inf + 739
2.132 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
2.132 * [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)))
2.132 * * * * [progress]: [ 16 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k)))>
2.133 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2))
2.133 * * [simplify]: iters left: 5 (7 enodes)
2.135 * * [simplify]: iters left: 4 (25 enodes)
2.140 * * [simplify]: iters left: 3 (30 enodes)
2.145 * * [simplify]: Extracting #0: cost 1 inf + 0
2.145 * * [simplify]: Extracting #1: cost 4 inf + 0
2.145 * * [simplify]: Extracting #2: cost 8 inf + 0
2.145 * * [simplify]: Extracting #3: cost 10 inf + 82
2.146 * * [simplify]: Extracting #4: cost 7 inf + 206
2.146 * * [simplify]: Extracting #5: cost 2 inf + 495
2.146 * * [simplify]: Extracting #6: cost 1 inf + 698
2.146 * * [simplify]: Extracting #7: cost 0 inf + 901
2.146 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2))
2.146 * [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)))
2.146 * * * * [progress]: [ 17 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k)))>
2.146 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2))
2.146 * * [simplify]: iters left: 5 (7 enodes)
2.149 * * [simplify]: iters left: 4 (25 enodes)
2.154 * * [simplify]: iters left: 3 (30 enodes)
2.159 * * [simplify]: Extracting #0: cost 1 inf + 0
2.159 * * [simplify]: Extracting #1: cost 4 inf + 0
2.159 * * [simplify]: Extracting #2: cost 8 inf + 0
2.159 * * [simplify]: Extracting #3: cost 10 inf + 42
2.159 * * [simplify]: Extracting #4: cost 7 inf + 126
2.159 * * [simplify]: Extracting #5: cost 2 inf + 415
2.160 * * [simplify]: Extracting #6: cost 1 inf + 578
2.160 * * [simplify]: Extracting #7: cost 0 inf + 741
2.160 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2))
2.160 * [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)))
2.160 * * * * [progress]: [ 18 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))>
2.160 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2)
2.160 * * [simplify]: iters left: 5 (6 enodes)
2.162 * * [simplify]: iters left: 4 (22 enodes)
2.166 * * [simplify]: iters left: 3 (27 enodes)
2.171 * * [simplify]: Extracting #0: cost 1 inf + 0
2.171 * * [simplify]: Extracting #1: cost 4 inf + 0
2.171 * * [simplify]: Extracting #2: cost 5 inf + 1
2.171 * * [simplify]: Extracting #3: cost 9 inf + 1
2.171 * * [simplify]: Extracting #4: cost 8 inf + 3
2.171 * * [simplify]: Extracting #5: cost 4 inf + 169
2.172 * * [simplify]: Extracting #6: cost 1 inf + 456
2.172 * * [simplify]: Extracting #7: cost 0 inf + 579
2.172 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
2.172 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))
2.172 * * * * [progress]: [ 19 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
2.173 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
2.173 * * [simplify]: iters left: 4 (6 enodes)
2.177 * * [simplify]: iters left: 3 (25 enodes)
2.186 * * [simplify]: iters left: 2 (36 enodes)
2.193 * * [simplify]: iters left: 1 (40 enodes)
2.202 * * [simplify]: Extracting #0: cost 1 inf + 0
2.202 * * [simplify]: Extracting #1: cost 7 inf + 0
2.202 * * [simplify]: Extracting #2: cost 16 inf + 0
2.202 * * [simplify]: Extracting #3: cost 13 inf + 44
2.202 * * [simplify]: Extracting #4: cost 3 inf + 1103
2.203 * * [simplify]: Extracting #5: cost 0 inf + 1469
2.203 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
2.203 * [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)))
2.203 * * * * [progress]: [ 20 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
2.203 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
2.203 * * [simplify]: iters left: 4 (6 enodes)
2.206 * * [simplify]: iters left: 3 (25 enodes)
2.211 * * [simplify]: iters left: 2 (36 enodes)
2.218 * * [simplify]: iters left: 1 (40 enodes)
2.228 * * [simplify]: Extracting #0: cost 1 inf + 0
2.228 * * [simplify]: Extracting #1: cost 7 inf + 0
2.229 * * [simplify]: Extracting #2: cost 16 inf + 0
2.229 * * [simplify]: Extracting #3: cost 13 inf + 44
2.229 * * [simplify]: Extracting #4: cost 3 inf + 823
2.229 * * [simplify]: Extracting #5: cost 0 inf + 1069
2.230 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
2.230 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))
2.230 * * * * [progress]: [ 21 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
2.230 * [simplify]: Simplifying (/ (- 1 k) 2)
2.231 * * [simplify]: iters left: 4 (5 enodes)
2.235 * * [simplify]: iters left: 3 (23 enodes)
2.244 * * [simplify]: iters left: 2 (32 enodes)
2.256 * * [simplify]: Extracting #0: cost 1 inf + 0
2.256 * * [simplify]: Extracting #1: cost 6 inf + 0
2.256 * * [simplify]: Extracting #2: cost 9 inf + 2
2.256 * * [simplify]: Extracting #3: cost 6 inf + 87
2.256 * * [simplify]: Extracting #4: cost 0 inf + 420
2.257 * [simplify]: Simplified to (/ (- 1 k) 2)
2.257 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))
2.257 * * * * [progress]: [ 22 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k)))>
2.257 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2))
2.257 * * [simplify]: iters left: 5 (8 enodes)
2.263 * * [simplify]: iters left: 4 (31 enodes)
2.274 * * [simplify]: iters left: 3 (45 enodes)
2.284 * * [simplify]: iters left: 2 (51 enodes)
2.292 * * [simplify]: iters left: 1 (52 enodes)
2.301 * * [simplify]: Extracting #0: cost 1 inf + 0
2.301 * * [simplify]: Extracting #1: cost 8 inf + 0
2.301 * * [simplify]: Extracting #2: cost 18 inf + 0
2.301 * * [simplify]: Extracting #3: cost 19 inf + 2
2.301 * * [simplify]: Extracting #4: cost 9 inf + 977
2.301 * * [simplify]: Extracting #5: cost 2 inf + 1790
2.302 * * [simplify]: Extracting #6: cost 0 inf + 2195
2.302 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
2.302 * [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)))
2.302 * * * * [progress]: [ 23 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k)))>
2.302 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2))
2.303 * * [simplify]: iters left: 5 (8 enodes)
2.306 * * [simplify]: iters left: 4 (31 enodes)
2.315 * * [simplify]: iters left: 3 (45 enodes)
2.332 * * [simplify]: iters left: 2 (51 enodes)
2.347 * * [simplify]: iters left: 1 (52 enodes)
2.362 * * [simplify]: Extracting #0: cost 1 inf + 0
2.363 * * [simplify]: Extracting #1: cost 8 inf + 0
2.363 * * [simplify]: Extracting #2: cost 18 inf + 0
2.363 * * [simplify]: Extracting #3: cost 19 inf + 2
2.363 * * [simplify]: Extracting #4: cost 9 inf + 697
2.364 * * [simplify]: Extracting #5: cost 2 inf + 1390
2.364 * * [simplify]: Extracting #6: cost 0 inf + 1715
2.365 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
2.365 * [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)))
2.365 * * * * [progress]: [ 24 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k)))>
2.366 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2)
2.366 * * [simplify]: iters left: 5 (7 enodes)
2.372 * * [simplify]: iters left: 4 (29 enodes)
2.383 * * [simplify]: iters left: 3 (43 enodes)
2.396 * * [simplify]: iters left: 2 (47 enodes)
2.409 * * [simplify]: Extracting #0: cost 1 inf + 0
2.409 * * [simplify]: Extracting #1: cost 7 inf + 0
2.409 * * [simplify]: Extracting #2: cost 11 inf + 2
2.409 * * [simplify]: Extracting #3: cost 13 inf + 3
2.409 * * [simplify]: Extracting #4: cost 11 inf + 45
2.409 * * [simplify]: Extracting #5: cost 0 inf + 1066
2.410 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
2.410 * [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)))
2.410 * * * * [progress]: [ 25 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))>
2.411 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2))
2.411 * * [simplify]: iters left: 5 (7 enodes)
2.415 * * [simplify]: iters left: 4 (28 enodes)
2.425 * * [simplify]: iters left: 3 (39 enodes)
2.438 * * [simplify]: iters left: 2 (43 enodes)
2.453 * * [simplify]: Extracting #0: cost 1 inf + 0
2.453 * * [simplify]: Extracting #1: cost 7 inf + 0
2.453 * * [simplify]: Extracting #2: cost 16 inf + 0
2.453 * * [simplify]: Extracting #3: cost 15 inf + 164
2.453 * * [simplify]: Extracting #4: cost 13 inf + 287
2.453 * * [simplify]: Extracting #5: cost 5 inf + 1180
2.454 * * [simplify]: Extracting #6: cost 0 inf + 1951
2.454 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
2.455 * [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)))
2.455 * * * * [progress]: [ 26 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))>
2.455 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2))
2.455 * * [simplify]: iters left: 5 (7 enodes)
2.460 * * [simplify]: iters left: 4 (28 enodes)
2.469 * * [simplify]: iters left: 3 (39 enodes)
2.481 * * [simplify]: iters left: 2 (43 enodes)
2.497 * * [simplify]: Extracting #0: cost 1 inf + 0
2.497 * * [simplify]: Extracting #1: cost 7 inf + 0
2.497 * * [simplify]: Extracting #2: cost 16 inf + 0
2.497 * * [simplify]: Extracting #3: cost 15 inf + 84
2.497 * * [simplify]: Extracting #4: cost 13 inf + 167
2.497 * * [simplify]: Extracting #5: cost 5 inf + 900
2.498 * * [simplify]: Extracting #6: cost 0 inf + 1551
2.499 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
2.499 * [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)))
2.499 * * * * [progress]: [ 27 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>
2.499 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2)
2.499 * * [simplify]: iters left: 5 (6 enodes)
2.504 * * [simplify]: iters left: 4 (26 enodes)
2.512 * * [simplify]: iters left: 3 (35 enodes)
2.523 * * [simplify]: Extracting #0: cost 1 inf + 0
2.523 * * [simplify]: Extracting #1: cost 6 inf + 0
2.524 * * [simplify]: Extracting #2: cost 9 inf + 2
2.524 * * [simplify]: Extracting #3: cost 11 inf + 3
2.524 * * [simplify]: Extracting #4: cost 10 inf + 4
2.524 * * [simplify]: Extracting #5: cost 3 inf + 535
2.524 * * [simplify]: Extracting #6: cost 0 inf + 822
2.525 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
2.525 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))
2.525 * * * * [progress]: [ 28 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
2.525 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
2.525 * * [simplify]: iters left: 4 (6 enodes)
2.529 * * [simplify]: iters left: 3 (25 enodes)
2.535 * * [simplify]: iters left: 2 (36 enodes)
2.542 * * [simplify]: iters left: 1 (40 enodes)
2.548 * * [simplify]: Extracting #0: cost 1 inf + 0
2.548 * * [simplify]: Extracting #1: cost 7 inf + 0
2.548 * * [simplify]: Extracting #2: cost 16 inf + 0
2.548 * * [simplify]: Extracting #3: cost 13 inf + 44
2.549 * * [simplify]: Extracting #4: cost 3 inf + 1103
2.549 * * [simplify]: Extracting #5: cost 0 inf + 1469
2.549 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
2.549 * [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)))
2.549 * * * * [progress]: [ 29 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
2.549 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
2.549 * * [simplify]: iters left: 4 (6 enodes)
2.552 * * [simplify]: iters left: 3 (25 enodes)
2.557 * * [simplify]: iters left: 2 (36 enodes)
2.563 * * [simplify]: iters left: 1 (40 enodes)
2.575 * * [simplify]: Extracting #0: cost 1 inf + 0
2.575 * * [simplify]: Extracting #1: cost 7 inf + 0
2.575 * * [simplify]: Extracting #2: cost 16 inf + 0
2.575 * * [simplify]: Extracting #3: cost 13 inf + 44
2.576 * * [simplify]: Extracting #4: cost 3 inf + 823
2.576 * * [simplify]: Extracting #5: cost 0 inf + 1069
2.577 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
2.577 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))
2.577 * * * * [progress]: [ 30 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
2.577 * [simplify]: Simplifying (/ (- 1 k) 2)
2.577 * * [simplify]: iters left: 4 (5 enodes)
2.581 * * [simplify]: iters left: 3 (23 enodes)
2.589 * * [simplify]: iters left: 2 (32 enodes)
2.599 * * [simplify]: Extracting #0: cost 1 inf + 0
2.599 * * [simplify]: Extracting #1: cost 6 inf + 0
2.599 * * [simplify]: Extracting #2: cost 9 inf + 2
2.599 * * [simplify]: Extracting #3: cost 6 inf + 87
2.600 * * [simplify]: Extracting #4: cost 0 inf + 420
2.600 * [simplify]: Simplified to (/ (- 1 k) 2)
2.600 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))
2.600 * * * * [progress]: [ 31 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.600 * [simplify]: Simplifying (/ (- 1 k) 2)
2.601 * * [simplify]: iters left: 4 (5 enodes)
2.604 * * [simplify]: iters left: 3 (23 enodes)
2.613 * * [simplify]: iters left: 2 (32 enodes)
2.623 * * [simplify]: Extracting #0: cost 1 inf + 0
2.623 * * [simplify]: Extracting #1: cost 6 inf + 0
2.623 * * [simplify]: Extracting #2: cost 9 inf + 2
2.623 * * [simplify]: Extracting #3: cost 6 inf + 87
2.623 * * [simplify]: Extracting #4: cost 0 inf + 420
2.623 * [simplify]: Simplified to (/ (- 1 k) 2)
2.623 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))
2.623 * * * * [progress]: [ 32 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2)) (sqrt k)))>
2.624 * [simplify]: Simplifying (/ 1 2)
2.624 * * [simplify]: iters left: 2 (3 enodes)
2.629 * * [simplify]: iters left: 1 (12 enodes)
2.634 * * [simplify]: Extracting #0: cost 1 inf + 0
2.634 * * [simplify]: Extracting #1: cost 0 inf + 1
2.634 * [simplify]: Simplified to 1/2
2.634 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k)))
2.634 * * * * [progress]: [ 33 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))>
2.634 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
2.634 * * [simplify]: iters left: 5 (7 enodes)
2.639 * * [simplify]: iters left: 4 (32 enodes)
2.651 * * [simplify]: iters left: 3 (57 enodes)
2.671 * * [simplify]: iters left: 2 (88 enodes)
2.688 * * [simplify]: iters left: 1 (156 enodes)
2.734 * * [simplify]: Extracting #0: cost 1 inf + 0
2.734 * * [simplify]: Extracting #1: cost 13 inf + 0
2.734 * * [simplify]: Extracting #2: cost 49 inf + 2
2.734 * * [simplify]: Extracting #3: cost 80 inf + 6
2.735 * * [simplify]: Extracting #4: cost 58 inf + 1840
2.736 * * [simplify]: Extracting #5: cost 22 inf + 9206
2.741 * * [simplify]: Extracting #6: cost 1 inf + 20886
2.744 * * [simplify]: Extracting #7: cost 0 inf + 21301
2.747 * * [simplify]: Extracting #8: cost 0 inf + 21130
2.750 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
2.750 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))
2.750 * * * * [progress]: [ 34 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
2.750 * * * * [progress]: [ 35 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.750 * * * * [progress]: [ 36 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.750 * * * * [progress]: [ 37 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.750 * * * * [progress]: [ 38 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.750 * * * * [progress]: [ 39 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.750 * * * * [progress]: [ 40 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))>
2.751 * * * * [progress]: [ 41 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
2.751 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.751 * * * * [progress]: [ 43 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.751 * * * * [progress]: [ 44 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.751 * * * * [progress]: [ 45 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.751 * [simplify]: Simplifying (* n (* 2 PI))
2.751 * * [simplify]: iters left: 4 (5 enodes)
2.753 * * [simplify]: iters left: 3 (19 enodes)
2.756 * * [simplify]: iters left: 2 (27 enodes)
2.761 * * [simplify]: iters left: 1 (32 enodes)
2.769 * * [simplify]: Extracting #0: cost 1 inf + 0
2.769 * * [simplify]: Extracting #1: cost 8 inf + 0
2.769 * * [simplify]: Extracting #2: cost 7 inf + 45
2.769 * * [simplify]: Extracting #3: cost 0 inf + 421
2.769 * [simplify]: Simplified to (* (* PI 2) n)
2.770 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))
2.770 * * * * [progress]: [ 46 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.770 * [simplify]: Simplifying (* n (* 2 PI))
2.770 * * [simplify]: iters left: 4 (5 enodes)
2.773 * * [simplify]: iters left: 3 (19 enodes)
2.778 * * [simplify]: iters left: 2 (27 enodes)
2.786 * * [simplify]: iters left: 1 (32 enodes)
2.793 * * [simplify]: Extracting #0: cost 1 inf + 0
2.793 * * [simplify]: Extracting #1: cost 8 inf + 0
2.793 * * [simplify]: Extracting #2: cost 7 inf + 45
2.793 * * [simplify]: Extracting #3: cost 0 inf + 421
2.793 * [simplify]: Simplified to (* (* PI 2) n)
2.793 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))
2.793 * * * * [progress]: [ 47 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.794 * * * * [progress]: [ 48 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.794 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
2.794 * * [simplify]: iters left: 5 (8 enodes)
2.798 * * [simplify]: iters left: 4 (28 enodes)
2.805 * * [simplify]: iters left: 3 (36 enodes)
2.815 * * [simplify]: iters left: 2 (42 enodes)
2.821 * * [simplify]: Extracting #0: cost 1 inf + 0
2.821 * * [simplify]: Extracting #1: cost 8 inf + 0
2.821 * * [simplify]: Extracting #2: cost 17 inf + 0
2.821 * * [simplify]: Extracting #3: cost 12 inf + 145
2.821 * * [simplify]: Extracting #4: cost 5 inf + 1197
2.822 * * [simplify]: Extracting #5: cost 1 inf + 1925
2.822 * * [simplify]: Extracting #6: cost 0 inf + 2107
2.822 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
2.822 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k)))
2.823 * * * * [progress]: [ 49 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.823 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
2.823 * * [simplify]: iters left: 5 (7 enodes)
2.825 * * [simplify]: iters left: 4 (26 enodes)
2.831 * * [simplify]: iters left: 3 (35 enodes)
2.837 * * [simplify]: iters left: 2 (44 enodes)
2.845 * * [simplify]: Extracting #0: cost 1 inf + 0
2.845 * * [simplify]: Extracting #1: cost 8 inf + 0
2.845 * * [simplify]: Extracting #2: cost 18 inf + 0
2.845 * * [simplify]: Extracting #3: cost 15 inf + 74
2.845 * * [simplify]: Extracting #4: cost 8 inf + 554
2.846 * * [simplify]: Extracting #5: cost 0 inf + 1911
2.846 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
2.846 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))
2.846 * * * * [progress]: [ 50 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.846 * * * * [progress]: [ 51 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.847 * * * * [progress]: [ 52 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.847 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
2.847 * * [simplify]: iters left: 6 (11 enodes)
2.858 * * [simplify]: iters left: 5 (48 enodes)
2.869 * * [simplify]: iters left: 4 (121 enodes)
2.900 * * [simplify]: iters left: 3 (348 enodes)
3.116 * * [simplify]: Extracting #0: cost 1 inf + 0
3.116 * * [simplify]: Extracting #1: cost 67 inf + 0
3.117 * * [simplify]: Extracting #2: cost 165 inf + 786
3.120 * * [simplify]: Extracting #3: cost 85 inf + 10177
3.132 * * [simplify]: Extracting #4: cost 9 inf + 26399
3.145 * * [simplify]: Extracting #5: cost 0 inf + 28546
3.157 * * [simplify]: Extracting #6: cost 0 inf + 28506
3.170 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
3.170 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k)))
3.170 * * * * [progress]: [ 53 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
3.171 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
3.171 * * [simplify]: iters left: 6 (9 enodes)
3.177 * * [simplify]: iters left: 5 (45 enodes)
3.196 * * [simplify]: iters left: 4 (117 enodes)
3.268 * * [simplify]: iters left: 3 (374 enodes)
3.525 * * [simplify]: Extracting #0: cost 1 inf + 0
3.526 * * [simplify]: Extracting #1: cost 77 inf + 0
3.528 * * [simplify]: Extracting #2: cost 184 inf + 984
3.535 * * [simplify]: Extracting #3: cost 106 inf + 11690
3.554 * * [simplify]: Extracting #4: cost 6 inf + 30376
3.573 * * [simplify]: Extracting #5: cost 0 inf + 31644
3.591 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
3.592 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k)))
3.592 * * * * [progress]: [ 54 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
3.592 * * * * [progress]: [ 55 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
3.592 * * * * [progress]: [ 56 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
3.592 * * * * [progress]: [ 57 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
3.592 * * * * [progress]: [ 58 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))>
3.592 * * * * [progress]: [ 59 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
3.593 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
3.593 * * [simplify]: iters left: 3 (3 enodes)
3.594 * * [simplify]: iters left: 2 (9 enodes)
3.597 * * [simplify]: Extracting #0: cost 1 inf + 0
3.597 * * [simplify]: Extracting #1: cost 3 inf + 0
3.597 * * [simplify]: Extracting #2: cost 5 inf + 0
3.597 * * [simplify]: Extracting #3: cost 4 inf + 1
3.597 * * [simplify]: Extracting #4: cost 0 inf + 405
3.597 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
3.597 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))
3.597 * * * * [progress]: [ 60 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
3.598 * [simplify]: Simplifying (sqrt n)
3.598 * * [simplify]: iters left: 1 (2 enodes)
3.598 * * [simplify]: Extracting #0: cost 1 inf + 0
3.599 * * [simplify]: Extracting #1: cost 3 inf + 0
3.599 * * [simplify]: Extracting #2: cost 2 inf + 1
3.599 * * [simplify]: Extracting #3: cost 0 inf + 83
3.599 * [simplify]: Simplified to (sqrt n)
3.599 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))
3.599 * * * * [progress]: [ 61 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
3.599 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
3.599 * * * * [progress]: [ 63 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))>
3.599 * * * * [progress]: [ 64 / 133 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
3.599 * * * * [progress]: [ 65 / 133 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
3.599 * * * * [progress]: [ 66 / 133 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 1))>
3.599 * * * * [progress]: [ 67 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
3.599 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))
3.600 * * [simplify]: iters left: 6 (16 enodes)
3.604 * * [simplify]: iters left: 5 (66 enodes)
3.619 * * [simplify]: iters left: 4 (113 enodes)
3.645 * * [simplify]: iters left: 3 (306 enodes)
3.739 * * [simplify]: Extracting #0: cost 1 inf + 0
3.739 * * [simplify]: Extracting #1: cost 33 inf + 0
3.740 * * [simplify]: Extracting #2: cost 89 inf + 0
3.741 * * [simplify]: Extracting #3: cost 132 inf + 603
3.745 * * [simplify]: Extracting #4: cost 115 inf + 7823
3.763 * * [simplify]: Extracting #5: cost 21 inf + 36693
3.783 * * [simplify]: Extracting #6: cost 0 inf + 43786
3.802 * * [simplify]: Extracting #7: cost 0 inf + 43785
3.821 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k)))
3.821 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k)))))
3.821 * * * * [progress]: [ 68 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
3.821 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
3.822 * * [simplify]: iters left: 6 (15 enodes)
3.830 * * [simplify]: iters left: 5 (64 enodes)
3.853 * * [simplify]: iters left: 4 (106 enodes)
3.887 * * [simplify]: iters left: 3 (247 enodes)
3.979 * * [simplify]: Extracting #0: cost 1 inf + 0
3.979 * * [simplify]: Extracting #1: cost 29 inf + 0
3.980 * * [simplify]: Extracting #2: cost 82 inf + 0
3.981 * * [simplify]: Extracting #3: cost 122 inf + 147
3.982 * * [simplify]: Extracting #4: cost 128 inf + 2275
3.989 * * [simplify]: Extracting #5: cost 42 inf + 21718
4.003 * * [simplify]: Extracting #6: cost 4 inf + 33778
4.018 * * [simplify]: Extracting #7: cost 0 inf + 35144
4.034 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))
4.034 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))))
4.035 * * * * [progress]: [ 69 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
4.035 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
4.035 * * [simplify]: iters left: 6 (14 enodes)
4.044 * * [simplify]: iters left: 5 (63 enodes)
4.066 * * [simplify]: iters left: 4 (113 enodes)
4.093 * * [simplify]: iters left: 3 (229 enodes)
4.180 * * [simplify]: Extracting #0: cost 1 inf + 0
4.180 * * [simplify]: Extracting #1: cost 23 inf + 0
4.180 * * [simplify]: Extracting #2: cost 83 inf + 0
4.181 * * [simplify]: Extracting #3: cost 120 inf + 284
4.182 * * [simplify]: Extracting #4: cost 111 inf + 4879
4.186 * * [simplify]: Extracting #5: cost 26 inf + 24636
4.193 * * [simplify]: Extracting #6: cost 0 inf + 31546
4.202 * * [simplify]: Extracting #7: cost 0 inf + 31046
4.214 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
4.215 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
4.215 * * * * [progress]: [ 70 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
4.215 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
4.215 * * [simplify]: iters left: 6 (14 enodes)
4.224 * * [simplify]: iters left: 5 (63 enodes)
4.242 * * [simplify]: iters left: 4 (113 enodes)
4.265 * * [simplify]: iters left: 3 (229 enodes)
4.383 * * [simplify]: Extracting #0: cost 1 inf + 0
4.383 * * [simplify]: Extracting #1: cost 23 inf + 0
4.383 * * [simplify]: Extracting #2: cost 83 inf + 0
4.384 * * [simplify]: Extracting #3: cost 120 inf + 284
4.387 * * [simplify]: Extracting #4: cost 111 inf + 4879
4.395 * * [simplify]: Extracting #5: cost 26 inf + 24636
4.408 * * [simplify]: Extracting #6: cost 0 inf + 31546
4.421 * * [simplify]: Extracting #7: cost 0 inf + 31046
4.428 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
4.428 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
4.428 * * * * [progress]: [ 71 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))))>
4.428 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))
4.428 * * [simplify]: iters left: 6 (14 enodes)
4.433 * * [simplify]: iters left: 5 (61 enodes)
4.449 * * [simplify]: iters left: 4 (112 enodes)
4.478 * * [simplify]: iters left: 3 (219 enodes)
4.547 * * [simplify]: Extracting #0: cost 1 inf + 0
4.547 * * [simplify]: Extracting #1: cost 24 inf + 0
4.548 * * [simplify]: Extracting #2: cost 109 inf + 0
4.549 * * [simplify]: Extracting #3: cost 171 inf + 75
4.550 * * [simplify]: Extracting #4: cost 167 inf + 904
4.555 * * [simplify]: Extracting #5: cost 91 inf + 14562
4.567 * * [simplify]: Extracting #6: cost 10 inf + 36286
4.581 * * [simplify]: Extracting #7: cost 0 inf + 40306
4.595 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k)))
4.595 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k)))))
4.596 * * * * [progress]: [ 72 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
4.596 * * * * [progress]: [ 73 / 133 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
4.596 * * * * [progress]: [ 74 / 133 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
4.596 * [simplify]: Simplifying (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
4.596 * * [simplify]: iters left: 6 (16 enodes)
4.606 * * [simplify]: iters left: 5 (72 enodes)
4.633 * * [simplify]: iters left: 4 (165 enodes)
4.699 * * [simplify]: iters left: 3 (474 enodes)
4.970 * * [simplify]: Extracting #0: cost 1 inf + 0
4.971 * * [simplify]: Extracting #1: cost 172 inf + 0
4.973 * * [simplify]: Extracting #2: cost 449 inf + 1
4.977 * * [simplify]: Extracting #3: cost 500 inf + 248
4.988 * * [simplify]: Extracting #4: cost 485 inf + 2081
5.002 * * [simplify]: Extracting #5: cost 365 inf + 63723
5.063 * * [simplify]: Extracting #6: cost 66 inf + 281431
5.151 * * [simplify]: Extracting #7: cost 0 inf + 324121
5.226 * * [simplify]: Extracting #8: cost 0 inf + 321869
5.325 * [simplify]: Simplified to (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))
5.325 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))))
5.325 * * * * [progress]: [ 75 / 133 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
5.326 * * * * [progress]: [ 76 / 133 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
5.326 * * * * [progress]: [ 77 / 133 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
5.326 * * * * [progress]: [ 78 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt k))))>
5.326 * * * * [progress]: [ 79 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
5.326 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
5.326 * * [simplify]: iters left: 6 (11 enodes)
5.333 * * [simplify]: iters left: 5 (46 enodes)
5.342 * * [simplify]: iters left: 4 (79 enodes)
5.357 * * [simplify]: iters left: 3 (135 enodes)
5.388 * * [simplify]: iters left: 2 (270 enodes)
5.473 * * [simplify]: Extracting #0: cost 1 inf + 0
5.473 * * [simplify]: Extracting #1: cost 56 inf + 0
5.473 * * [simplify]: Extracting #2: cost 151 inf + 0
5.474 * * [simplify]: Extracting #3: cost 211 inf + 3
5.475 * * [simplify]: Extracting #4: cost 182 inf + 8248
5.480 * * [simplify]: Extracting #5: cost 108 inf + 32321
5.494 * * [simplify]: Extracting #6: cost 40 inf + 73343
5.523 * * [simplify]: Extracting #7: cost 0 inf + 103841
5.549 * * [simplify]: Extracting #8: cost 0 inf + 103639
5.562 * * [simplify]: Extracting #9: cost 0 inf + 103517
5.575 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
5.575 * [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)))))
5.576 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
5.576 * * [simplify]: iters left: 6 (11 enodes)
5.583 * * [simplify]: iters left: 5 (45 enodes)
5.599 * * [simplify]: iters left: 4 (68 enodes)
5.622 * * [simplify]: iters left: 3 (110 enodes)
5.668 * * [simplify]: iters left: 2 (217 enodes)
5.742 * * [simplify]: iters left: 1 (458 enodes)
5.953 * * [simplify]: Extracting #0: cost 1 inf + 0
5.953 * * [simplify]: Extracting #1: cost 45 inf + 0
5.954 * * [simplify]: Extracting #2: cost 132 inf + 0
5.955 * * [simplify]: Extracting #3: cost 212 inf + 3
5.957 * * [simplify]: Extracting #4: cost 213 inf + 801
5.963 * * [simplify]: Extracting #5: cost 140 inf + 15314
5.990 * * [simplify]: Extracting #6: cost 26 inf + 94405
6.017 * * [simplify]: Extracting #7: cost 0 inf + 113797
6.034 * * [simplify]: Extracting #8: cost 0 inf + 112990
6.051 * * [simplify]: Extracting #9: cost 0 inf + 111447
6.071 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k)))
6.072 * [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)))))
6.072 * * * * [progress]: [ 80 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
6.072 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k))))
6.072 * * [simplify]: iters left: 6 (11 enodes)
6.079 * * [simplify]: iters left: 5 (45 enodes)
6.097 * * [simplify]: iters left: 4 (72 enodes)
6.122 * * [simplify]: iters left: 3 (113 enodes)
6.144 * * [simplify]: iters left: 2 (202 enodes)
6.215 * * [simplify]: iters left: 1 (423 enodes)
6.381 * * [simplify]: Extracting #0: cost 1 inf + 0
6.381 * * [simplify]: Extracting #1: cost 45 inf + 0
6.381 * * [simplify]: Extracting #2: cost 135 inf + 0
6.382 * * [simplify]: Extracting #3: cost 200 inf + 4
6.384 * * [simplify]: Extracting #4: cost 178 inf + 4357
6.390 * * [simplify]: Extracting #5: cost 104 inf + 31155
6.404 * * [simplify]: Extracting #6: cost 30 inf + 80538
6.417 * * [simplify]: Extracting #7: cost 0 inf + 106837
6.430 * * [simplify]: Extracting #8: cost 0 inf + 104726
6.456 * * [simplify]: Extracting #9: cost 0 inf + 104144
6.473 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k)))
6.473 * [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)))))
6.473 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))
6.473 * * [simplify]: iters left: 6 (11 enodes)
6.479 * * [simplify]: iters left: 5 (45 enodes)
6.488 * * [simplify]: iters left: 4 (68 enodes)
6.502 * * [simplify]: iters left: 3 (110 enodes)
6.534 * * [simplify]: iters left: 2 (217 enodes)
6.589 * * [simplify]: iters left: 1 (458 enodes)
6.785 * * [simplify]: Extracting #0: cost 1 inf + 0
6.785 * * [simplify]: Extracting #1: cost 45 inf + 0
6.786 * * [simplify]: Extracting #2: cost 132 inf + 0
6.788 * * [simplify]: Extracting #3: cost 212 inf + 3
6.789 * * [simplify]: Extracting #4: cost 213 inf + 841
6.792 * * [simplify]: Extracting #5: cost 140 inf + 15394
6.804 * * [simplify]: Extracting #6: cost 26 inf + 94485
6.826 * * [simplify]: Extracting #7: cost 0 inf + 113877
6.858 * * [simplify]: Extracting #8: cost 0 inf + 113070
6.886 * * [simplify]: Extracting #9: cost 0 inf + 111527
6.902 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k)))
6.903 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k)))))
6.903 * * * * [progress]: [ 81 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
6.903 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
6.903 * * [simplify]: iters left: 6 (10 enodes)
6.909 * * [simplify]: iters left: 5 (41 enodes)
6.924 * * [simplify]: iters left: 4 (68 enodes)
6.940 * * [simplify]: iters left: 3 (109 enodes)
6.967 * * [simplify]: iters left: 2 (194 enodes)
7.035 * * [simplify]: iters left: 1 (414 enodes)
7.259 * * [simplify]: Extracting #0: cost 1 inf + 0
7.259 * * [simplify]: Extracting #1: cost 45 inf + 0
7.259 * * [simplify]: Extracting #2: cost 141 inf + 0
7.260 * * [simplify]: Extracting #3: cost 206 inf + 4
7.262 * * [simplify]: Extracting #4: cost 180 inf + 9439
7.270 * * [simplify]: Extracting #5: cost 108 inf + 27286
7.292 * * [simplify]: Extracting #6: cost 36 inf + 72454
7.323 * * [simplify]: Extracting #7: cost 0 inf + 101831
7.347 * * [simplify]: Extracting #8: cost 0 inf + 101671
7.363 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
7.363 * [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)))))
7.363 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
7.363 * * [simplify]: iters left: 6 (11 enodes)
7.369 * * [simplify]: iters left: 5 (45 enodes)
7.385 * * [simplify]: iters left: 4 (68 enodes)
7.408 * * [simplify]: iters left: 3 (110 enodes)
7.452 * * [simplify]: iters left: 2 (217 enodes)
7.506 * * [simplify]: iters left: 1 (458 enodes)
7.734 * * [simplify]: Extracting #0: cost 1 inf + 0
7.735 * * [simplify]: Extracting #1: cost 45 inf + 0
7.735 * * [simplify]: Extracting #2: cost 132 inf + 0
7.736 * * [simplify]: Extracting #3: cost 212 inf + 3
7.737 * * [simplify]: Extracting #4: cost 213 inf + 761
7.740 * * [simplify]: Extracting #5: cost 140 inf + 15034
7.752 * * [simplify]: Extracting #6: cost 26 inf + 92245
7.777 * * [simplify]: Extracting #7: cost 0 inf + 111037
7.793 * * [simplify]: Extracting #8: cost 0 inf + 110230
7.811 * * [simplify]: Extracting #9: cost 0 inf + 108687
7.836 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))
7.836 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))))
7.836 * * * * [progress]: [ 82 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
7.836 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1))
7.836 * * [simplify]: iters left: 6 (9 enodes)
7.840 * * [simplify]: iters left: 5 (38 enodes)
7.847 * * [simplify]: iters left: 4 (63 enodes)
7.858 * * [simplify]: iters left: 3 (100 enodes)
7.879 * * [simplify]: iters left: 2 (175 enodes)
7.918 * * [simplify]: iters left: 1 (360 enodes)
8.056 * * [simplify]: Extracting #0: cost 1 inf + 0
8.057 * * [simplify]: Extracting #1: cost 52 inf + 0
8.057 * * [simplify]: Extracting #2: cost 150 inf + 3
8.058 * * [simplify]: Extracting #3: cost 190 inf + 8
8.059 * * [simplify]: Extracting #4: cost 161 inf + 3039
8.061 * * [simplify]: Extracting #5: cost 116 inf + 9850
8.073 * * [simplify]: Extracting #6: cost 35 inf + 60283
8.089 * * [simplify]: Extracting #7: cost 2 inf + 86206
8.101 * * [simplify]: Extracting #8: cost 0 inf + 87719
8.119 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2)))
8.119 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))
8.120 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
8.120 * * [simplify]: iters left: 6 (10 enodes)
8.126 * * [simplify]: iters left: 5 (42 enodes)
8.140 * * [simplify]: iters left: 4 (65 enodes)
8.163 * * [simplify]: iters left: 3 (104 enodes)
8.189 * * [simplify]: iters left: 2 (206 enodes)
8.261 * * [simplify]: iters left: 1 (435 enodes)
8.490 * * [simplify]: Extracting #0: cost 1 inf + 0
8.490 * * [simplify]: Extracting #1: cost 47 inf + 0
8.491 * * [simplify]: Extracting #2: cost 137 inf + 0
8.491 * * [simplify]: Extracting #3: cost 210 inf + 45
8.493 * * [simplify]: Extracting #4: cost 204 inf + 1134
8.495 * * [simplify]: Extracting #5: cost 148 inf + 9351
8.505 * * [simplify]: Extracting #6: cost 67 inf + 53607
8.534 * * [simplify]: Extracting #7: cost 1 inf + 112920
8.559 * * [simplify]: Extracting #8: cost 0 inf + 111430
8.575 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
8.575 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
8.575 * * * * [progress]: [ 83 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
8.576 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
8.576 * * [simplify]: iters left: 6 (10 enodes)
8.582 * * [simplify]: iters left: 5 (41 enodes)
8.597 * * [simplify]: iters left: 4 (68 enodes)
8.617 * * [simplify]: iters left: 3 (109 enodes)
8.638 * * [simplify]: iters left: 2 (194 enodes)
8.694 * * [simplify]: iters left: 1 (414 enodes)
8.874 * * [simplify]: Extracting #0: cost 1 inf + 0
8.875 * * [simplify]: Extracting #1: cost 45 inf + 0
8.875 * * [simplify]: Extracting #2: cost 141 inf + 0
8.876 * * [simplify]: Extracting #3: cost 206 inf + 4
8.878 * * [simplify]: Extracting #4: cost 180 inf + 9439
8.883 * * [simplify]: Extracting #5: cost 108 inf + 27286
8.900 * * [simplify]: Extracting #6: cost 36 inf + 72454
8.916 * * [simplify]: Extracting #7: cost 0 inf + 101831
8.951 * * [simplify]: Extracting #8: cost 0 inf + 101671
8.974 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
8.974 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
8.974 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
8.974 * * [simplify]: iters left: 6 (11 enodes)
8.978 * * [simplify]: iters left: 5 (45 enodes)
8.988 * * [simplify]: iters left: 4 (68 enodes)
9.001 * * [simplify]: iters left: 3 (110 enodes)
9.044 * * [simplify]: iters left: 2 (217 enodes)
9.116 * * [simplify]: iters left: 1 (458 enodes)
9.342 * * [simplify]: Extracting #0: cost 1 inf + 0
9.342 * * [simplify]: Extracting #1: cost 45 inf + 0
9.343 * * [simplify]: Extracting #2: cost 132 inf + 0
9.344 * * [simplify]: Extracting #3: cost 212 inf + 3
9.345 * * [simplify]: Extracting #4: cost 213 inf + 761
9.348 * * [simplify]: Extracting #5: cost 140 inf + 15034
9.360 * * [simplify]: Extracting #6: cost 26 inf + 92245
9.380 * * [simplify]: Extracting #7: cost 0 inf + 111037
9.399 * * [simplify]: Extracting #8: cost 0 inf + 110230
9.424 * * [simplify]: Extracting #9: cost 0 inf + 108687
9.457 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))
9.457 * [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)))))
9.457 * * * * [progress]: [ 84 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
9.457 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1)
9.457 * * [simplify]: iters left: 6 (8 enodes)
9.463 * * [simplify]: iters left: 5 (33 enodes)
9.475 * * [simplify]: iters left: 4 (56 enodes)
9.495 * * [simplify]: iters left: 3 (98 enodes)
9.537 * * [simplify]: iters left: 2 (203 enodes)
9.620 * * [simplify]: iters left: 1 (443 enodes)
9.894 * * [simplify]: Extracting #0: cost 1 inf + 0
9.894 * * [simplify]: Extracting #1: cost 47 inf + 0
9.895 * * [simplify]: Extracting #2: cost 155 inf + 3
9.896 * * [simplify]: Extracting #3: cost 207 inf + 8
9.897 * * [simplify]: Extracting #4: cost 189 inf + 2296
9.900 * * [simplify]: Extracting #5: cost 112 inf + 20090
9.912 * * [simplify]: Extracting #6: cost 19 inf + 81064
9.933 * * [simplify]: Extracting #7: cost 0 inf + 94833
9.961 * * [simplify]: Extracting #8: cost 0 inf + 93433
9.979 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2)))
9.979 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))
9.979 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
9.979 * * [simplify]: iters left: 6 (10 enodes)
9.983 * * [simplify]: iters left: 5 (42 enodes)
9.996 * * [simplify]: iters left: 4 (65 enodes)
10.019 * * [simplify]: iters left: 3 (104 enodes)
10.061 * * [simplify]: iters left: 2 (206 enodes)
10.113 * * [simplify]: iters left: 1 (435 enodes)
10.311 * * [simplify]: Extracting #0: cost 1 inf + 0
10.311 * * [simplify]: Extracting #1: cost 47 inf + 0
10.312 * * [simplify]: Extracting #2: cost 137 inf + 0
10.314 * * [simplify]: Extracting #3: cost 210 inf + 45
10.316 * * [simplify]: Extracting #4: cost 204 inf + 1134
10.320 * * [simplify]: Extracting #5: cost 148 inf + 9351
10.327 * * [simplify]: Extracting #6: cost 67 inf + 53607
10.342 * * [simplify]: Extracting #7: cost 1 inf + 112920
10.372 * * [simplify]: Extracting #8: cost 0 inf + 111430
10.393 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
10.393 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
10.393 * * * * [progress]: [ 85 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
10.393 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
10.393 * * [simplify]: iters left: 6 (16 enodes)
10.398 * * [simplify]: iters left: 5 (69 enodes)
10.412 * * [simplify]: iters left: 4 (117 enodes)
10.436 * * [simplify]: iters left: 3 (164 enodes)
10.492 * * [simplify]: iters left: 2 (236 enodes)
10.550 * * [simplify]: iters left: 1 (387 enodes)
10.714 * * [simplify]: Extracting #0: cost 1 inf + 0
10.714 * * [simplify]: Extracting #1: cost 11 inf + 0
10.714 * * [simplify]: Extracting #2: cost 22 inf + 0
10.714 * * [simplify]: Extracting #3: cost 48 inf + 0
10.714 * * [simplify]: Extracting #4: cost 120 inf + 2
10.715 * * [simplify]: Extracting #5: cost 150 inf + 787
10.716 * * [simplify]: Extracting #6: cost 110 inf + 5219
10.720 * * [simplify]: Extracting #7: cost 48 inf + 27777
10.729 * * [simplify]: Extracting #8: cost 12 inf + 58840
10.740 * * [simplify]: Extracting #9: cost 0 inf + 68408
10.756 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
10.756 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
10.757 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
10.757 * * [simplify]: iters left: 6 (14 enodes)
10.762 * * [simplify]: iters left: 5 (57 enodes)
10.773 * * [simplify]: iters left: 4 (90 enodes)
10.792 * * [simplify]: iters left: 3 (127 enodes)
10.835 * * [simplify]: iters left: 2 (195 enodes)
10.901 * * [simplify]: iters left: 1 (356 enodes)
11.036 * * [simplify]: Extracting #0: cost 1 inf + 0
11.036 * * [simplify]: Extracting #1: cost 4 inf + 0
11.036 * * [simplify]: Extracting #2: cost 8 inf + 0
11.036 * * [simplify]: Extracting #3: cost 34 inf + 0
11.037 * * [simplify]: Extracting #4: cost 107 inf + 164
11.037 * * [simplify]: Extracting #5: cost 148 inf + 585
11.039 * * [simplify]: Extracting #6: cost 109 inf + 5352
11.043 * * [simplify]: Extracting #7: cost 45 inf + 27047
11.053 * * [simplify]: Extracting #8: cost 6 inf + 58672
11.064 * * [simplify]: Extracting #9: cost 0 inf + 62696
11.083 * * [simplify]: Extracting #10: cost 0 inf + 62192
11.106 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
11.106 * [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)))))
11.106 * * * * [progress]: [ 86 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
11.106 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k))))
11.106 * * [simplify]: iters left: 6 (16 enodes)
11.116 * * [simplify]: iters left: 5 (66 enodes)
11.135 * * [simplify]: iters left: 4 (103 enodes)
11.152 * * [simplify]: iters left: 3 (142 enodes)
11.185 * * [simplify]: iters left: 2 (210 enodes)
11.245 * * [simplify]: iters left: 1 (370 enodes)
11.379 * * [simplify]: Extracting #0: cost 1 inf + 0
11.379 * * [simplify]: Extracting #1: cost 7 inf + 0
11.379 * * [simplify]: Extracting #2: cost 15 inf + 0
11.379 * * [simplify]: Extracting #3: cost 43 inf + 0
11.380 * * [simplify]: Extracting #4: cost 113 inf + 204
11.381 * * [simplify]: Extracting #5: cost 145 inf + 907
11.384 * * [simplify]: Extracting #6: cost 114 inf + 4465
11.392 * * [simplify]: Extracting #7: cost 52 inf + 23940
11.408 * * [simplify]: Extracting #8: cost 13 inf + 52482
11.431 * * [simplify]: Extracting #9: cost 0 inf + 63276
11.450 * * [simplify]: Extracting #10: cost 0 inf + 62983
11.467 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k)))
11.467 * [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)))))
11.468 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
11.468 * * [simplify]: iters left: 6 (14 enodes)
11.476 * * [simplify]: iters left: 5 (57 enodes)
11.496 * * [simplify]: iters left: 4 (90 enodes)
11.512 * * [simplify]: iters left: 3 (127 enodes)
11.536 * * [simplify]: iters left: 2 (195 enodes)
11.591 * * [simplify]: iters left: 1 (356 enodes)
11.730 * * [simplify]: Extracting #0: cost 1 inf + 0
11.730 * * [simplify]: Extracting #1: cost 4 inf + 0
11.730 * * [simplify]: Extracting #2: cost 8 inf + 0
11.730 * * [simplify]: Extracting #3: cost 34 inf + 0
11.731 * * [simplify]: Extracting #4: cost 107 inf + 204
11.732 * * [simplify]: Extracting #5: cost 148 inf + 665
11.735 * * [simplify]: Extracting #6: cost 109 inf + 5432
11.747 * * [simplify]: Extracting #7: cost 45 inf + 27127
11.766 * * [simplify]: Extracting #8: cost 6 inf + 58752
11.787 * * [simplify]: Extracting #9: cost 0 inf + 62776
11.810 * * [simplify]: Extracting #10: cost 0 inf + 62272
11.831 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
11.831 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))
11.831 * * * * [progress]: [ 87 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
11.832 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
11.832 * * [simplify]: iters left: 6 (15 enodes)
11.841 * * [simplify]: iters left: 5 (62 enodes)
11.862 * * [simplify]: iters left: 4 (99 enodes)
11.895 * * [simplify]: iters left: 3 (142 enodes)
11.944 * * [simplify]: iters left: 2 (215 enodes)
11.990 * * [simplify]: iters left: 1 (364 enodes)
12.130 * * [simplify]: Extracting #0: cost 1 inf + 0
12.130 * * [simplify]: Extracting #1: cost 7 inf + 0
12.130 * * [simplify]: Extracting #2: cost 14 inf + 0
12.130 * * [simplify]: Extracting #3: cost 41 inf + 0
12.130 * * [simplify]: Extracting #4: cost 107 inf + 165
12.131 * * [simplify]: Extracting #5: cost 134 inf + 713
12.133 * * [simplify]: Extracting #6: cost 89 inf + 7533
12.139 * * [simplify]: Extracting #7: cost 28 inf + 38261
12.148 * * [simplify]: Extracting #8: cost 0 inf + 60484
12.157 * * [simplify]: Extracting #9: cost 0 inf + 60062
12.166 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
12.166 * [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)))))
12.166 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
12.166 * * [simplify]: iters left: 6 (14 enodes)
12.170 * * [simplify]: iters left: 5 (57 enodes)
12.181 * * [simplify]: iters left: 4 (90 enodes)
12.199 * * [simplify]: iters left: 3 (127 enodes)
12.224 * * [simplify]: iters left: 2 (195 enodes)
12.274 * * [simplify]: iters left: 1 (356 enodes)
12.409 * * [simplify]: Extracting #0: cost 1 inf + 0
12.409 * * [simplify]: Extracting #1: cost 4 inf + 0
12.409 * * [simplify]: Extracting #2: cost 8 inf + 0
12.409 * * [simplify]: Extracting #3: cost 34 inf + 0
12.409 * * [simplify]: Extracting #4: cost 107 inf + 124
12.410 * * [simplify]: Extracting #5: cost 148 inf + 505
12.411 * * [simplify]: Extracting #6: cost 109 inf + 5272
12.416 * * [simplify]: Extracting #7: cost 45 inf + 26887
12.434 * * [simplify]: Extracting #8: cost 6 inf + 58512
12.454 * * [simplify]: Extracting #9: cost 0 inf + 62536
12.464 * * [simplify]: Extracting #10: cost 0 inf + 62032
12.478 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
12.478 * [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)))))
12.478 * * * * [progress]: [ 88 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
12.478 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1))
12.478 * * [simplify]: iters left: 6 (14 enodes)
12.483 * * [simplify]: iters left: 5 (59 enodes)
12.494 * * [simplify]: iters left: 4 (96 enodes)
12.516 * * [simplify]: iters left: 3 (136 enodes)
12.559 * * [simplify]: iters left: 2 (205 enodes)
12.636 * * [simplify]: iters left: 1 (370 enodes)
12.790 * * [simplify]: Extracting #0: cost 1 inf + 0
12.790 * * [simplify]: Extracting #1: cost 5 inf + 0
12.790 * * [simplify]: Extracting #2: cost 7 inf + 1
12.790 * * [simplify]: Extracting #3: cost 31 inf + 1
12.791 * * [simplify]: Extracting #4: cost 103 inf + 2
12.792 * * [simplify]: Extracting #5: cost 150 inf + 218
12.793 * * [simplify]: Extracting #6: cost 149 inf + 478
12.797 * * [simplify]: Extracting #7: cost 93 inf + 8914
12.812 * * [simplify]: Extracting #8: cost 27 inf + 33526
12.837 * * [simplify]: Extracting #9: cost 0 inf + 51357
12.865 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
12.865 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))
12.865 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
12.865 * * [simplify]: iters left: 6 (13 enodes)
12.869 * * [simplify]: iters left: 5 (54 enodes)
12.879 * * [simplify]: iters left: 4 (87 enodes)
12.895 * * [simplify]: iters left: 3 (128 enodes)
12.925 * * [simplify]: iters left: 2 (197 enodes)
12.973 * * [simplify]: iters left: 1 (354 enodes)
13.099 * * [simplify]: Extracting #0: cost 1 inf + 0
13.099 * * [simplify]: Extracting #1: cost 4 inf + 0
13.099 * * [simplify]: Extracting #2: cost 8 inf + 0
13.099 * * [simplify]: Extracting #3: cost 28 inf + 83
13.100 * * [simplify]: Extracting #4: cost 105 inf + 84
13.101 * * [simplify]: Extracting #5: cost 139 inf + 384
13.104 * * [simplify]: Extracting #6: cost 103 inf + 5239
13.110 * * [simplify]: Extracting #7: cost 50 inf + 20824
13.124 * * [simplify]: Extracting #8: cost 15 inf + 47877
13.145 * * [simplify]: Extracting #9: cost 0 inf + 59693
13.163 * * [simplify]: Extracting #10: cost 0 inf + 59363
13.181 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
13.181 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))))
13.181 * * * * [progress]: [ 89 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
13.181 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
13.181 * * [simplify]: iters left: 6 (15 enodes)
13.190 * * [simplify]: iters left: 5 (62 enodes)
13.211 * * [simplify]: iters left: 4 (99 enodes)
13.244 * * [simplify]: iters left: 3 (142 enodes)
13.291 * * [simplify]: iters left: 2 (215 enodes)
13.369 * * [simplify]: iters left: 1 (364 enodes)
13.538 * * [simplify]: Extracting #0: cost 1 inf + 0
13.538 * * [simplify]: Extracting #1: cost 7 inf + 0
13.538 * * [simplify]: Extracting #2: cost 14 inf + 0
13.538 * * [simplify]: Extracting #3: cost 41 inf + 0
13.538 * * [simplify]: Extracting #4: cost 107 inf + 165
13.539 * * [simplify]: Extracting #5: cost 134 inf + 713
13.543 * * [simplify]: Extracting #6: cost 89 inf + 7533
13.549 * * [simplify]: Extracting #7: cost 28 inf + 38261
13.559 * * [simplify]: Extracting #8: cost 0 inf + 60484
13.576 * * [simplify]: Extracting #9: cost 0 inf + 60062
13.589 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
13.589 * [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)))))
13.589 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
13.589 * * [simplify]: iters left: 6 (14 enodes)
13.593 * * [simplify]: iters left: 5 (57 enodes)
13.604 * * [simplify]: iters left: 4 (90 enodes)
13.626 * * [simplify]: iters left: 3 (127 enodes)
13.655 * * [simplify]: iters left: 2 (195 enodes)
13.719 * * [simplify]: iters left: 1 (356 enodes)
13.881 * * [simplify]: Extracting #0: cost 1 inf + 0
13.881 * * [simplify]: Extracting #1: cost 4 inf + 0
13.881 * * [simplify]: Extracting #2: cost 8 inf + 0
13.881 * * [simplify]: Extracting #3: cost 34 inf + 0
13.882 * * [simplify]: Extracting #4: cost 107 inf + 124
13.883 * * [simplify]: Extracting #5: cost 148 inf + 505
13.885 * * [simplify]: Extracting #6: cost 109 inf + 5272
13.889 * * [simplify]: Extracting #7: cost 45 inf + 26887
13.899 * * [simplify]: Extracting #8: cost 6 inf + 58512
13.909 * * [simplify]: Extracting #9: cost 0 inf + 62536
13.920 * * [simplify]: Extracting #10: cost 0 inf + 62032
13.932 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
13.932 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
13.933 * * * * [progress]: [ 90 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
13.933 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1)
13.934 * * [simplify]: iters left: 6 (13 enodes)
13.941 * * [simplify]: iters left: 5 (54 enodes)
13.960 * * [simplify]: iters left: 4 (95 enodes)
13.995 * * [simplify]: iters left: 3 (137 enodes)
14.039 * * [simplify]: iters left: 2 (206 enodes)
14.090 * * [simplify]: iters left: 1 (362 enodes)
14.204 * * [simplify]: Extracting #0: cost 1 inf + 0
14.204 * * [simplify]: Extracting #1: cost 5 inf + 0
14.204 * * [simplify]: Extracting #2: cost 7 inf + 1
14.204 * * [simplify]: Extracting #3: cost 32 inf + 1
14.205 * * [simplify]: Extracting #4: cost 110 inf + 2
14.206 * * [simplify]: Extracting #5: cost 158 inf + 176
14.207 * * [simplify]: Extracting #6: cost 151 inf + 644
14.213 * * [simplify]: Extracting #7: cost 91 inf + 10513
14.225 * * [simplify]: Extracting #8: cost 37 inf + 29756
14.247 * * [simplify]: Extracting #9: cost 0 inf + 59764
14.268 * * [simplify]: Extracting #10: cost 0 inf + 58856
14.283 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
14.283 * [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))))
14.283 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
14.283 * * [simplify]: iters left: 6 (13 enodes)
14.288 * * [simplify]: iters left: 5 (54 enodes)
14.302 * * [simplify]: iters left: 4 (87 enodes)
14.329 * * [simplify]: iters left: 3 (128 enodes)
14.368 * * [simplify]: iters left: 2 (197 enodes)
14.433 * * [simplify]: iters left: 1 (354 enodes)
14.565 * * [simplify]: Extracting #0: cost 1 inf + 0
14.565 * * [simplify]: Extracting #1: cost 4 inf + 0
14.565 * * [simplify]: Extracting #2: cost 8 inf + 0
14.565 * * [simplify]: Extracting #3: cost 28 inf + 83
14.565 * * [simplify]: Extracting #4: cost 105 inf + 84
14.566 * * [simplify]: Extracting #5: cost 139 inf + 384
14.568 * * [simplify]: Extracting #6: cost 103 inf + 5239
14.571 * * [simplify]: Extracting #7: cost 50 inf + 20824
14.577 * * [simplify]: Extracting #8: cost 15 inf + 47877
14.587 * * [simplify]: Extracting #9: cost 0 inf + 59693
14.601 * * [simplify]: Extracting #10: cost 0 inf + 59363
14.623 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
14.623 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))))
14.623 * * * * [progress]: [ 91 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
14.623 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
14.624 * * [simplify]: iters left: 6 (15 enodes)
14.632 * * [simplify]: iters left: 5 (62 enodes)
14.655 * * [simplify]: iters left: 4 (98 enodes)
14.687 * * [simplify]: iters left: 3 (134 enodes)
14.732 * * [simplify]: iters left: 2 (202 enodes)
14.779 * * [simplify]: iters left: 1 (362 enodes)
14.903 * * [simplify]: Extracting #0: cost 1 inf + 0
14.903 * * [simplify]: Extracting #1: cost 6 inf + 0
14.903 * * [simplify]: Extracting #2: cost 13 inf + 0
14.903 * * [simplify]: Extracting #3: cost 43 inf + 0
14.903 * * [simplify]: Extracting #4: cost 120 inf + 285
14.904 * * [simplify]: Extracting #5: cost 141 inf + 1984
14.907 * * [simplify]: Extracting #6: cost 72 inf + 21416
14.915 * * [simplify]: Extracting #7: cost 23 inf + 42391
14.928 * * [simplify]: Extracting #8: cost 0 inf + 61728
14.947 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
14.947 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
14.947 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
14.947 * * [simplify]: iters left: 6 (14 enodes)
14.952 * * [simplify]: iters left: 5 (57 enodes)
14.964 * * [simplify]: iters left: 4 (91 enodes)
14.980 * * [simplify]: iters left: 3 (127 enodes)
15.022 * * [simplify]: iters left: 2 (195 enodes)
15.077 * * [simplify]: iters left: 1 (354 enodes)
15.202 * * [simplify]: Extracting #0: cost 1 inf + 0
15.202 * * [simplify]: Extracting #1: cost 4 inf + 0
15.202 * * [simplify]: Extracting #2: cost 9 inf + 0
15.202 * * [simplify]: Extracting #3: cost 36 inf + 0
15.203 * * [simplify]: Extracting #4: cost 113 inf + 205
15.203 * * [simplify]: Extracting #5: cost 131 inf + 2415
15.210 * * [simplify]: Extracting #6: cost 45 inf + 33802
15.236 * * [simplify]: Extracting #7: cost 2 inf + 54796
15.263 * * [simplify]: Extracting #8: cost 0 inf + 53175
15.290 * * [simplify]: Extracting #9: cost 0 inf + 52741
15.305 * * [simplify]: Extracting #10: cost 0 inf + 52079
15.319 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))
15.319 * [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)))))
15.319 * * * * [progress]: [ 92 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
15.320 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k))))
15.320 * * [simplify]: iters left: 6 (15 enodes)
15.329 * * [simplify]: iters left: 5 (61 enodes)
15.350 * * [simplify]: iters left: 4 (95 enodes)
15.371 * * [simplify]: iters left: 3 (131 enodes)
15.396 * * [simplify]: iters left: 2 (199 enodes)
15.437 * * [simplify]: iters left: 1 (362 enodes)
15.611 * * [simplify]: Extracting #0: cost 1 inf + 0
15.611 * * [simplify]: Extracting #1: cost 4 inf + 0
15.611 * * [simplify]: Extracting #2: cost 10 inf + 0
15.611 * * [simplify]: Extracting #3: cost 41 inf + 0
15.612 * * [simplify]: Extracting #4: cost 124 inf + 325
15.614 * * [simplify]: Extracting #5: cost 146 inf + 2066
15.618 * * [simplify]: Extracting #6: cost 94 inf + 10304
15.631 * * [simplify]: Extracting #7: cost 23 inf + 47402
15.652 * * [simplify]: Extracting #8: cost 0 inf + 67276
15.668 * * [simplify]: Extracting #9: cost 0 inf + 66421
15.678 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
15.678 * [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)))))
15.679 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
15.679 * * [simplify]: iters left: 6 (14 enodes)
15.683 * * [simplify]: iters left: 5 (57 enodes)
15.694 * * [simplify]: iters left: 4 (91 enodes)
15.716 * * [simplify]: iters left: 3 (127 enodes)
15.738 * * [simplify]: iters left: 2 (195 enodes)
15.777 * * [simplify]: iters left: 1 (354 enodes)
15.898 * * [simplify]: Extracting #0: cost 1 inf + 0
15.898 * * [simplify]: Extracting #1: cost 4 inf + 0
15.898 * * [simplify]: Extracting #2: cost 9 inf + 0
15.898 * * [simplify]: Extracting #3: cost 36 inf + 0
15.899 * * [simplify]: Extracting #4: cost 113 inf + 285
15.899 * * [simplify]: Extracting #5: cost 131 inf + 2495
15.904 * * [simplify]: Extracting #6: cost 45 inf + 33882
15.916 * * [simplify]: Extracting #7: cost 2 inf + 54876
15.930 * * [simplify]: Extracting #8: cost 0 inf + 53255
15.945 * * [simplify]: Extracting #9: cost 0 inf + 52821
15.960 * * [simplify]: Extracting #10: cost 0 inf + 52159
15.991 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))
15.991 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))))
15.992 * * * * [progress]: [ 93 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
15.992 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
15.992 * * [simplify]: iters left: 6 (14 enodes)
16.001 * * [simplify]: iters left: 5 (57 enodes)
16.019 * * [simplify]: iters left: 4 (91 enodes)
16.035 * * [simplify]: iters left: 3 (127 enodes)
16.065 * * [simplify]: iters left: 2 (195 enodes)
16.138 * * [simplify]: iters left: 1 (354 enodes)
16.238 * * [simplify]: Extracting #0: cost 1 inf + 0
16.238 * * [simplify]: Extracting #1: cost 4 inf + 0
16.238 * * [simplify]: Extracting #2: cost 9 inf + 0
16.238 * * [simplify]: Extracting #3: cost 36 inf + 0
16.239 * * [simplify]: Extracting #4: cost 113 inf + 165
16.240 * * [simplify]: Extracting #5: cost 131 inf + 2335
16.244 * * [simplify]: Extracting #6: cost 45 inf + 33642
16.258 * * [simplify]: Extracting #7: cost 2 inf + 54636
16.272 * * [simplify]: Extracting #8: cost 0 inf + 53015
16.287 * * [simplify]: Extracting #9: cost 0 inf + 52581
16.302 * * [simplify]: Extracting #10: cost 0 inf + 51919
16.316 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
16.316 * [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)))))
16.317 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
16.317 * * [simplify]: iters left: 6 (14 enodes)
16.321 * * [simplify]: iters left: 5 (57 enodes)
16.332 * * [simplify]: iters left: 4 (91 enodes)
16.347 * * [simplify]: iters left: 3 (127 enodes)
16.386 * * [simplify]: iters left: 2 (195 enodes)
16.458 * * [simplify]: iters left: 1 (354 enodes)
16.593 * * [simplify]: Extracting #0: cost 1 inf + 0
16.593 * * [simplify]: Extracting #1: cost 4 inf + 0
16.593 * * [simplify]: Extracting #2: cost 9 inf + 0
16.593 * * [simplify]: Extracting #3: cost 36 inf + 0
16.593 * * [simplify]: Extracting #4: cost 113 inf + 165
16.594 * * [simplify]: Extracting #5: cost 131 inf + 2335
16.603 * * [simplify]: Extracting #6: cost 45 inf + 33642
16.625 * * [simplify]: Extracting #7: cost 2 inf + 54636
16.642 * * [simplify]: Extracting #8: cost 0 inf + 53015
16.657 * * [simplify]: Extracting #9: cost 0 inf + 52581
16.671 * * [simplify]: Extracting #10: cost 0 inf + 51919
16.687 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
16.687 * [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)))))
16.687 * * * * [progress]: [ 94 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
16.687 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1))
16.687 * * [simplify]: iters left: 6 (13 enodes)
16.692 * * [simplify]: iters left: 5 (54 enodes)
16.708 * * [simplify]: iters left: 4 (88 enodes)
16.737 * * [simplify]: iters left: 3 (127 enodes)
16.769 * * [simplify]: iters left: 2 (196 enodes)
16.824 * * [simplify]: iters left: 1 (362 enodes)
16.950 * * [simplify]: Extracting #0: cost 1 inf + 0
16.950 * * [simplify]: Extracting #1: cost 5 inf + 0
16.950 * * [simplify]: Extracting #2: cost 27 inf + 1
16.951 * * [simplify]: Extracting #3: cost 103 inf + 2
16.952 * * [simplify]: Extracting #4: cost 147 inf + 177
16.953 * * [simplify]: Extracting #5: cost 138 inf + 686
16.956 * * [simplify]: Extracting #6: cost 90 inf + 5192
16.966 * * [simplify]: Extracting #7: cost 29 inf + 34526
16.982 * * [simplify]: Extracting #8: cost 3 inf + 53567
17.000 * * [simplify]: Extracting #9: cost 0 inf + 55996
17.019 * * [simplify]: Extracting #10: cost 0 inf + 55520
17.028 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
17.028 * [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))))
17.029 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
17.029 * * [simplify]: iters left: 6 (13 enodes)
17.033 * * [simplify]: iters left: 5 (54 enodes)
17.044 * * [simplify]: iters left: 4 (88 enodes)
17.061 * * [simplify]: iters left: 3 (125 enodes)
17.103 * * [simplify]: iters left: 2 (193 enodes)
17.178 * * [simplify]: iters left: 1 (356 enodes)
17.314 * * [simplify]: Extracting #0: cost 1 inf + 0
17.314 * * [simplify]: Extracting #1: cost 4 inf + 0
17.314 * * [simplify]: Extracting #2: cost 9 inf + 0
17.314 * * [simplify]: Extracting #3: cost 32 inf + 1
17.315 * * [simplify]: Extracting #4: cost 105 inf + 84
17.316 * * [simplify]: Extracting #5: cost 125 inf + 1632
17.321 * * [simplify]: Extracting #6: cost 73 inf + 13139
17.335 * * [simplify]: Extracting #7: cost 9 inf + 42244
17.351 * * [simplify]: Extracting #8: cost 0 inf + 47700
17.365 * * [simplify]: Extracting #9: cost 0 inf + 47090
17.388 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
17.389 * [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))))
17.389 * * * * [progress]: [ 95 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
17.389 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
17.389 * * [simplify]: iters left: 6 (14 enodes)
17.399 * * [simplify]: iters left: 5 (57 enodes)
17.419 * * [simplify]: iters left: 4 (91 enodes)
17.449 * * [simplify]: iters left: 3 (127 enodes)
17.492 * * [simplify]: iters left: 2 (195 enodes)
17.569 * * [simplify]: iters left: 1 (354 enodes)
17.696 * * [simplify]: Extracting #0: cost 1 inf + 0
17.696 * * [simplify]: Extracting #1: cost 4 inf + 0
17.696 * * [simplify]: Extracting #2: cost 9 inf + 0
17.696 * * [simplify]: Extracting #3: cost 36 inf + 0
17.696 * * [simplify]: Extracting #4: cost 113 inf + 165
17.697 * * [simplify]: Extracting #5: cost 131 inf + 2335
17.704 * * [simplify]: Extracting #6: cost 45 inf + 33642
17.726 * * [simplify]: Extracting #7: cost 2 inf + 54636
17.753 * * [simplify]: Extracting #8: cost 0 inf + 53015
17.782 * * [simplify]: Extracting #9: cost 0 inf + 52581
17.810 * * [simplify]: Extracting #10: cost 0 inf + 51919
17.840 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
17.840 * [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)))))
17.840 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
17.840 * * [simplify]: iters left: 6 (14 enodes)
17.848 * * [simplify]: iters left: 5 (57 enodes)
17.861 * * [simplify]: iters left: 4 (91 enodes)
17.879 * * [simplify]: iters left: 3 (127 enodes)
17.918 * * [simplify]: iters left: 2 (195 enodes)
17.987 * * [simplify]: iters left: 1 (354 enodes)
18.127 * * [simplify]: Extracting #0: cost 1 inf + 0
18.127 * * [simplify]: Extracting #1: cost 4 inf + 0
18.127 * * [simplify]: Extracting #2: cost 9 inf + 0
18.128 * * [simplify]: Extracting #3: cost 36 inf + 0
18.128 * * [simplify]: Extracting #4: cost 113 inf + 165
18.130 * * [simplify]: Extracting #5: cost 131 inf + 2335
18.139 * * [simplify]: Extracting #6: cost 45 inf + 33642
18.162 * * [simplify]: Extracting #7: cost 2 inf + 54636
18.179 * * [simplify]: Extracting #8: cost 0 inf + 53015
18.193 * * [simplify]: Extracting #9: cost 0 inf + 52581
18.217 * * [simplify]: Extracting #10: cost 0 inf + 51919
18.249 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
18.249 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
18.249 * * * * [progress]: [ 96 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
18.250 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1)
18.250 * * [simplify]: iters left: 6 (12 enodes)
18.257 * * [simplify]: iters left: 5 (49 enodes)
18.267 * * [simplify]: iters left: 4 (83 enodes)
18.283 * * [simplify]: iters left: 3 (124 enodes)
18.305 * * [simplify]: iters left: 2 (197 enodes)
18.365 * * [simplify]: iters left: 1 (352 enodes)
18.501 * * [simplify]: Extracting #0: cost 1 inf + 0
18.502 * * [simplify]: Extracting #1: cost 5 inf + 0
18.502 * * [simplify]: Extracting #2: cost 27 inf + 1
18.502 * * [simplify]: Extracting #3: cost 107 inf + 2
18.503 * * [simplify]: Extracting #4: cost 136 inf + 177
18.503 * * [simplify]: Extracting #5: cost 129 inf + 724
18.505 * * [simplify]: Extracting #6: cost 68 inf + 10028
18.511 * * [simplify]: Extracting #7: cost 27 inf + 32706
18.532 * * [simplify]: Extracting #8: cost 0 inf + 57385
18.550 * * [simplify]: Extracting #9: cost 0 inf + 56670
18.569 * * [simplify]: Extracting #10: cost 0 inf + 56408
18.582 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
18.582 * [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))))
18.582 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
18.582 * * [simplify]: iters left: 6 (13 enodes)
18.586 * * [simplify]: iters left: 5 (54 enodes)
18.597 * * [simplify]: iters left: 4 (88 enodes)
18.613 * * [simplify]: iters left: 3 (125 enodes)
18.655 * * [simplify]: iters left: 2 (193 enodes)
18.718 * * [simplify]: iters left: 1 (356 enodes)
18.874 * * [simplify]: Extracting #0: cost 1 inf + 0
18.874 * * [simplify]: Extracting #1: cost 4 inf + 0
18.874 * * [simplify]: Extracting #2: cost 9 inf + 0
18.874 * * [simplify]: Extracting #3: cost 32 inf + 1
18.875 * * [simplify]: Extracting #4: cost 105 inf + 84
18.876 * * [simplify]: Extracting #5: cost 125 inf + 1632
18.882 * * [simplify]: Extracting #6: cost 73 inf + 13139
18.900 * * [simplify]: Extracting #7: cost 9 inf + 42244
18.926 * * [simplify]: Extracting #8: cost 0 inf + 47700
18.952 * * [simplify]: Extracting #9: cost 0 inf + 47090
18.971 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
18.971 * [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))))
18.971 * * * * [progress]: [ 97 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
18.972 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
18.972 * * [simplify]: iters left: 6 (6 enodes)
18.974 * * [simplify]: iters left: 5 (22 enodes)
18.978 * * [simplify]: iters left: 4 (26 enodes)
18.983 * * [simplify]: Extracting #0: cost 1 inf + 0
18.983 * * [simplify]: Extracting #1: cost 6 inf + 0
18.983 * * [simplify]: Extracting #2: cost 9 inf + 1
18.983 * * [simplify]: Extracting #3: cost 11 inf + 1
18.983 * * [simplify]: Extracting #4: cost 8 inf + 84
18.983 * * [simplify]: Extracting #5: cost 2 inf + 1013
18.983 * * [simplify]: Extracting #6: cost 0 inf + 1376
18.984 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
18.984 * [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)))))
18.984 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
18.984 * * [simplify]: iters left: 6 (13 enodes)
18.988 * * [simplify]: iters left: 5 (54 enodes)
19.003 * * [simplify]: iters left: 4 (89 enodes)
19.022 * * [simplify]: iters left: 3 (136 enodes)
19.063 * * [simplify]: iters left: 2 (221 enodes)
19.151 * * [simplify]: iters left: 1 (444 enodes)
19.358 * * [simplify]: Extracting #0: cost 1 inf + 0
19.358 * * [simplify]: Extracting #1: cost 51 inf + 0
19.359 * * [simplify]: Extracting #2: cost 141 inf + 0
19.360 * * [simplify]: Extracting #3: cost 217 inf + 3
19.362 * * [simplify]: Extracting #4: cost 206 inf + 1256
19.369 * * [simplify]: Extracting #5: cost 128 inf + 22660
19.397 * * [simplify]: Extracting #6: cost 23 inf + 103572
19.434 * * [simplify]: Extracting #7: cost 0 inf + 122695
19.472 * * [simplify]: Extracting #8: cost 0 inf + 120000
19.508 * * [simplify]: Extracting #9: cost 0 inf + 119244
19.527 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))
19.528 * [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)))))
19.528 * * * * [progress]: [ 98 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
19.528 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k))))
19.528 * * [simplify]: iters left: 6 (6 enodes)
19.530 * * [simplify]: iters left: 5 (21 enodes)
19.535 * * [simplify]: iters left: 4 (23 enodes)
19.542 * * [simplify]: Extracting #0: cost 1 inf + 0
19.542 * * [simplify]: Extracting #1: cost 4 inf + 0
19.543 * * [simplify]: Extracting #2: cost 6 inf + 1
19.543 * * [simplify]: Extracting #3: cost 9 inf + 1
19.543 * * [simplify]: Extracting #4: cost 8 inf + 2
19.543 * * [simplify]: Extracting #5: cost 1 inf + 810
19.543 * * [simplify]: Extracting #6: cost 0 inf + 972
19.543 * [simplify]: Simplified to (/ 1 (fabs (cbrt k)))
19.543 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
19.544 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
19.544 * * [simplify]: iters left: 6 (13 enodes)
19.551 * * [simplify]: iters left: 5 (54 enodes)
19.569 * * [simplify]: iters left: 4 (89 enodes)
19.592 * * [simplify]: iters left: 3 (136 enodes)
19.619 * * [simplify]: iters left: 2 (221 enodes)
19.703 * * [simplify]: iters left: 1 (444 enodes)
19.925 * * [simplify]: Extracting #0: cost 1 inf + 0
19.925 * * [simplify]: Extracting #1: cost 51 inf + 0
19.926 * * [simplify]: Extracting #2: cost 141 inf + 0
19.928 * * [simplify]: Extracting #3: cost 217 inf + 3
19.933 * * [simplify]: Extracting #4: cost 206 inf + 1296
19.937 * * [simplify]: Extracting #5: cost 128 inf + 22740
19.951 * * [simplify]: Extracting #6: cost 23 inf + 103652
19.972 * * [simplify]: Extracting #7: cost 0 inf + 122775
20.009 * * [simplify]: Extracting #8: cost 0 inf + 120080
20.046 * * [simplify]: Extracting #9: cost 0 inf + 119324
20.085 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))
20.085 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
20.085 * * * * [progress]: [ 99 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
20.085 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
20.085 * * [simplify]: iters left: 4 (5 enodes)
20.087 * * [simplify]: iters left: 3 (17 enodes)
20.090 * * [simplify]: iters left: 2 (19 enodes)
20.093 * * [simplify]: Extracting #0: cost 1 inf + 0
20.093 * * [simplify]: Extracting #1: cost 4 inf + 0
20.093 * * [simplify]: Extracting #2: cost 5 inf + 1
20.093 * * [simplify]: Extracting #3: cost 7 inf + 1
20.093 * * [simplify]: Extracting #4: cost 0 inf + 490
20.093 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
20.093 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
20.094 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
20.094 * * [simplify]: iters left: 6 (13 enodes)
20.098 * * [simplify]: iters left: 5 (54 enodes)
20.108 * * [simplify]: iters left: 4 (89 enodes)
20.125 * * [simplify]: iters left: 3 (136 enodes)
20.148 * * [simplify]: iters left: 2 (221 enodes)
20.195 * * [simplify]: iters left: 1 (444 enodes)
20.394 * * [simplify]: Extracting #0: cost 1 inf + 0
20.394 * * [simplify]: Extracting #1: cost 51 inf + 0
20.395 * * [simplify]: Extracting #2: cost 141 inf + 0
20.396 * * [simplify]: Extracting #3: cost 217 inf + 3
20.397 * * [simplify]: Extracting #4: cost 206 inf + 1176
20.400 * * [simplify]: Extracting #5: cost 128 inf + 22380
20.415 * * [simplify]: Extracting #6: cost 23 inf + 101172
20.437 * * [simplify]: Extracting #7: cost 0 inf + 119655
20.463 * * [simplify]: Extracting #8: cost 0 inf + 116960
20.501 * * [simplify]: Extracting #9: cost 0 inf + 116204
20.538 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
20.538 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
20.538 * * * * [progress]: [ 100 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
20.539 * [simplify]: Simplifying (/ 1 (sqrt 1))
20.539 * * [simplify]: iters left: 3 (3 enodes)
20.545 * * [simplify]: iters left: 2 (11 enodes)
20.548 * * [simplify]: iters left: 1 (13 enodes)
20.551 * * [simplify]: Extracting #0: cost 1 inf + 0
20.551 * * [simplify]: Extracting #1: cost 0 inf + 1
20.551 * [simplify]: Simplified to 1
20.551 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
20.551 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
20.551 * * [simplify]: iters left: 6 (12 enodes)
20.557 * * [simplify]: iters left: 5 (51 enodes)
20.577 * * [simplify]: iters left: 4 (86 enodes)
20.596 * * [simplify]: iters left: 3 (133 enodes)
20.620 * * [simplify]: iters left: 2 (218 enodes)
20.682 * * [simplify]: iters left: 1 (444 enodes)
20.878 * * [simplify]: Extracting #0: cost 1 inf + 0
20.878 * * [simplify]: Extracting #1: cost 39 inf + 0
20.879 * * [simplify]: Extracting #2: cost 126 inf + 0
20.880 * * [simplify]: Extracting #3: cost 201 inf + 4
20.882 * * [simplify]: Extracting #4: cost 191 inf + 1382
20.888 * * [simplify]: Extracting #5: cost 133 inf + 10319
20.902 * * [simplify]: Extracting #6: cost 56 inf + 58095
20.928 * * [simplify]: Extracting #7: cost 0 inf + 104434
20.958 * * [simplify]: Extracting #8: cost 0 inf + 104433
20.990 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
20.990 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
20.990 * * * * [progress]: [ 101 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
20.990 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
20.990 * * [simplify]: iters left: 4 (5 enodes)
20.995 * * [simplify]: iters left: 3 (17 enodes)
20.998 * * [simplify]: iters left: 2 (19 enodes)
21.002 * * [simplify]: Extracting #0: cost 1 inf + 0
21.002 * * [simplify]: Extracting #1: cost 4 inf + 0
21.002 * * [simplify]: Extracting #2: cost 5 inf + 1
21.002 * * [simplify]: Extracting #3: cost 7 inf + 1
21.002 * * [simplify]: Extracting #4: cost 0 inf + 490
21.002 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
21.002 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
21.002 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
21.002 * * [simplify]: iters left: 6 (13 enodes)
21.006 * * [simplify]: iters left: 5 (54 enodes)
21.017 * * [simplify]: iters left: 4 (89 enodes)
21.044 * * [simplify]: iters left: 3 (136 enodes)
21.086 * * [simplify]: iters left: 2 (221 enodes)
21.153 * * [simplify]: iters left: 1 (444 enodes)
21.357 * * [simplify]: Extracting #0: cost 1 inf + 0
21.357 * * [simplify]: Extracting #1: cost 51 inf + 0
21.357 * * [simplify]: Extracting #2: cost 141 inf + 0
21.358 * * [simplify]: Extracting #3: cost 217 inf + 3
21.359 * * [simplify]: Extracting #4: cost 206 inf + 1176
21.363 * * [simplify]: Extracting #5: cost 128 inf + 22380
21.391 * * [simplify]: Extracting #6: cost 23 inf + 101172
21.418 * * [simplify]: Extracting #7: cost 0 inf + 119655
21.437 * * [simplify]: Extracting #8: cost 0 inf + 116960
21.461 * * [simplify]: Extracting #9: cost 0 inf + 116204
21.499 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
21.499 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
21.499 * * * * [progress]: [ 102 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
21.499 * [simplify]: Simplifying (/ 1 1)
21.499 * * [simplify]: iters left: 2 (2 enodes)
21.501 * * [simplify]: iters left: 1 (6 enodes)
21.504 * * [simplify]: Extracting #0: cost 1 inf + 0
21.504 * * [simplify]: Extracting #1: cost 0 inf + 1
21.504 * [simplify]: Simplified to 1
21.504 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
21.504 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
21.504 * * [simplify]: iters left: 6 (12 enodes)
21.511 * * [simplify]: iters left: 5 (51 enodes)
21.526 * * [simplify]: iters left: 4 (86 enodes)
21.553 * * [simplify]: iters left: 3 (133 enodes)
21.585 * * [simplify]: iters left: 2 (218 enodes)
21.641 * * [simplify]: iters left: 1 (444 enodes)
21.829 * * [simplify]: Extracting #0: cost 1 inf + 0
21.829 * * [simplify]: Extracting #1: cost 39 inf + 0
21.830 * * [simplify]: Extracting #2: cost 126 inf + 0
21.831 * * [simplify]: Extracting #3: cost 201 inf + 4
21.834 * * [simplify]: Extracting #4: cost 191 inf + 1382
21.839 * * [simplify]: Extracting #5: cost 133 inf + 10319
21.854 * * [simplify]: Extracting #6: cost 56 inf + 58095
21.876 * * [simplify]: Extracting #7: cost 0 inf + 104434
21.892 * * [simplify]: Extracting #8: cost 0 inf + 104433
21.908 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
21.908 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
21.908 * * * * [progress]: [ 103 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))))>
21.908 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
21.908 * * [simplify]: iters left: 6 (15 enodes)
21.913 * * [simplify]: iters left: 5 (65 enodes)
21.930 * * [simplify]: iters left: 4 (109 enodes)
21.967 * * [simplify]: iters left: 3 (185 enodes)
22.021 * * [simplify]: iters left: 2 (368 enodes)
22.132 * * [simplify]: Extracting #0: cost 1 inf + 0
22.133 * * [simplify]: Extracting #1: cost 54 inf + 0
22.136 * * [simplify]: Extracting #2: cost 144 inf + 0
22.136 * * [simplify]: Extracting #3: cost 223 inf + 2
22.138 * * [simplify]: Extracting #4: cost 205 inf + 3811
22.142 * * [simplify]: Extracting #5: cost 131 inf + 29200
22.156 * * [simplify]: Extracting #6: cost 16 inf + 109445
22.173 * * [simplify]: Extracting #7: cost 0 inf + 122156
22.191 * * [simplify]: Extracting #8: cost 0 inf + 122025
22.208 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
22.208 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))))
22.209 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))
22.209 * * [simplify]: iters left: 6 (14 enodes)
22.218 * * [simplify]: iters left: 5 (60 enodes)
22.241 * * [simplify]: iters left: 4 (98 enodes)
22.275 * * [simplify]: iters left: 3 (157 enodes)
22.333 * * [simplify]: iters left: 2 (290 enodes)
22.437 * * [simplify]: Extracting #0: cost 1 inf + 0
22.437 * * [simplify]: Extracting #1: cost 30 inf + 0
22.437 * * [simplify]: Extracting #2: cost 72 inf + 0
22.437 * * [simplify]: Extracting #3: cost 138 inf + 2
22.438 * * [simplify]: Extracting #4: cost 143 inf + 890
22.441 * * [simplify]: Extracting #5: cost 80 inf + 17711
22.447 * * [simplify]: Extracting #6: cost 8 inf + 48515
22.460 * * [simplify]: Extracting #7: cost 0 inf + 53624
22.477 * * [simplify]: Extracting #8: cost 0 inf + 53424
22.494 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
22.494 * [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)))))
22.494 * * * * [progress]: [ 104 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))>
22.494 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k))))
22.494 * * [simplify]: iters left: 6 (15 enodes)
22.506 * * [simplify]: iters left: 5 (64 enodes)
22.528 * * [simplify]: iters left: 4 (102 enodes)
22.562 * * [simplify]: iters left: 3 (161 enodes)
22.598 * * [simplify]: iters left: 2 (288 enodes)
22.703 * * [simplify]: Extracting #0: cost 1 inf + 0
22.703 * * [simplify]: Extracting #1: cost 30 inf + 0
22.703 * * [simplify]: Extracting #2: cost 73 inf + 0
22.704 * * [simplify]: Extracting #3: cost 138 inf + 2
22.705 * * [simplify]: Extracting #4: cost 143 inf + 389
22.708 * * [simplify]: Extracting #5: cost 103 inf + 4729
22.717 * * [simplify]: Extracting #6: cost 27 inf + 38097
22.731 * * [simplify]: Extracting #7: cost 0 inf + 59534
22.747 * * [simplify]: Extracting #8: cost 0 inf + 59452
22.764 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k)))
22.764 * [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)))))
22.764 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))
22.764 * * [simplify]: iters left: 6 (14 enodes)
22.769 * * [simplify]: iters left: 5 (60 enodes)
22.781 * * [simplify]: iters left: 4 (98 enodes)
22.808 * * [simplify]: iters left: 3 (157 enodes)
22.841 * * [simplify]: iters left: 2 (290 enodes)
22.939 * * [simplify]: Extracting #0: cost 1 inf + 0
22.940 * * [simplify]: Extracting #1: cost 30 inf + 0
22.940 * * [simplify]: Extracting #2: cost 72 inf + 0
22.941 * * [simplify]: Extracting #3: cost 138 inf + 2
22.942 * * [simplify]: Extracting #4: cost 143 inf + 890
22.947 * * [simplify]: Extracting #5: cost 80 inf + 17791
22.960 * * [simplify]: Extracting #6: cost 8 inf + 48595
22.978 * * [simplify]: Extracting #7: cost 0 inf + 53704
22.994 * * [simplify]: Extracting #8: cost 0 inf + 53504
23.005 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))
23.005 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))))
23.005 * * * * [progress]: [ 105 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
23.006 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
23.006 * * [simplify]: iters left: 6 (14 enodes)
23.010 * * [simplify]: iters left: 5 (60 enodes)
23.022 * * [simplify]: iters left: 4 (98 enodes)
23.048 * * [simplify]: iters left: 3 (157 enodes)
23.085 * * [simplify]: iters left: 2 (290 enodes)
23.197 * * [simplify]: Extracting #0: cost 1 inf + 0
23.197 * * [simplify]: Extracting #1: cost 30 inf + 0
23.197 * * [simplify]: Extracting #2: cost 72 inf + 0
23.198 * * [simplify]: Extracting #3: cost 138 inf + 2
23.199 * * [simplify]: Extracting #4: cost 143 inf + 890
23.205 * * [simplify]: Extracting #5: cost 80 inf + 17431
23.219 * * [simplify]: Extracting #6: cost 8 inf + 47315
23.235 * * [simplify]: Extracting #7: cost 0 inf + 52144
23.251 * * [simplify]: Extracting #8: cost 0 inf + 51944
23.259 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
23.260 * [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)))))
23.260 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
23.260 * * [simplify]: iters left: 6 (14 enodes)
23.264 * * [simplify]: iters left: 5 (60 enodes)
23.276 * * [simplify]: iters left: 4 (98 enodes)
23.306 * * [simplify]: iters left: 3 (157 enodes)
23.367 * * [simplify]: iters left: 2 (290 enodes)
23.437 * * [simplify]: Extracting #0: cost 1 inf + 0
23.437 * * [simplify]: Extracting #1: cost 30 inf + 0
23.437 * * [simplify]: Extracting #2: cost 72 inf + 0
23.437 * * [simplify]: Extracting #3: cost 138 inf + 2
23.438 * * [simplify]: Extracting #4: cost 143 inf + 890
23.441 * * [simplify]: Extracting #5: cost 80 inf + 17431
23.448 * * [simplify]: Extracting #6: cost 8 inf + 47315
23.467 * * [simplify]: Extracting #7: cost 0 inf + 52144
23.476 * * [simplify]: Extracting #8: cost 0 inf + 51944
23.485 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
23.485 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))))
23.485 * * * * [progress]: [ 106 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
23.485 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1))
23.485 * * [simplify]: iters left: 6 (13 enodes)
23.490 * * [simplify]: iters left: 5 (57 enodes)
23.505 * * [simplify]: iters left: 4 (93 enodes)
23.537 * * [simplify]: iters left: 3 (148 enodes)
23.585 * * [simplify]: iters left: 2 (271 enodes)
23.651 * * [simplify]: iters left: 1 (497 enodes)
23.890 * * [simplify]: Extracting #0: cost 1 inf + 0
23.890 * * [simplify]: Extracting #1: cost 54 inf + 0
23.891 * * [simplify]: Extracting #2: cost 165 inf + 2
23.892 * * [simplify]: Extracting #3: cost 238 inf + 220
23.893 * * [simplify]: Extracting #4: cost 231 inf + 855
23.897 * * [simplify]: Extracting #5: cost 139 inf + 14771
23.921 * * [simplify]: Extracting #6: cost 27 inf + 65033
23.947 * * [simplify]: Extracting #7: cost 0 inf + 84937
23.976 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4))
23.977 * [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))))
23.977 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
23.977 * * [simplify]: iters left: 6 (13 enodes)
23.981 * * [simplify]: iters left: 5 (57 enodes)
23.992 * * [simplify]: iters left: 4 (95 enodes)
24.010 * * [simplify]: iters left: 3 (154 enodes)
24.053 * * [simplify]: iters left: 2 (287 enodes)
24.144 * * [simplify]: Extracting #0: cost 1 inf + 0
24.144 * * [simplify]: Extracting #1: cost 30 inf + 0
24.144 * * [simplify]: Extracting #2: cost 73 inf + 0
24.145 * * [simplify]: Extracting #3: cost 136 inf + 3
24.146 * * [simplify]: Extracting #4: cost 130 inf + 1385
24.151 * * [simplify]: Extracting #5: cost 76 inf + 14535
24.162 * * [simplify]: Extracting #6: cost 5 inf + 50457
24.177 * * [simplify]: Extracting #7: cost 0 inf + 54374
24.195 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))
24.195 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))))
24.195 * * * * [progress]: [ 107 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
24.195 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
24.195 * * [simplify]: iters left: 6 (14 enodes)
24.200 * * [simplify]: iters left: 5 (60 enodes)
24.212 * * [simplify]: iters left: 4 (98 enodes)
24.230 * * [simplify]: iters left: 3 (157 enodes)
24.288 * * [simplify]: iters left: 2 (290 enodes)
24.373 * * [simplify]: Extracting #0: cost 1 inf + 0
24.373 * * [simplify]: Extracting #1: cost 30 inf + 0
24.374 * * [simplify]: Extracting #2: cost 72 inf + 0
24.374 * * [simplify]: Extracting #3: cost 138 inf + 2
24.375 * * [simplify]: Extracting #4: cost 143 inf + 890
24.380 * * [simplify]: Extracting #5: cost 80 inf + 17431
24.394 * * [simplify]: Extracting #6: cost 8 inf + 47315
24.411 * * [simplify]: Extracting #7: cost 0 inf + 52144
24.430 * * [simplify]: Extracting #8: cost 0 inf + 51944
24.447 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
24.447 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))
24.447 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
24.447 * * [simplify]: iters left: 6 (14 enodes)
24.456 * * [simplify]: iters left: 5 (60 enodes)
24.475 * * [simplify]: iters left: 4 (98 enodes)
24.511 * * [simplify]: iters left: 3 (157 enodes)
24.568 * * [simplify]: iters left: 2 (290 enodes)
24.648 * * [simplify]: Extracting #0: cost 1 inf + 0
24.648 * * [simplify]: Extracting #1: cost 30 inf + 0
24.648 * * [simplify]: Extracting #2: cost 72 inf + 0
24.649 * * [simplify]: Extracting #3: cost 138 inf + 2
24.649 * * [simplify]: Extracting #4: cost 143 inf + 890
24.652 * * [simplify]: Extracting #5: cost 80 inf + 17431
24.659 * * [simplify]: Extracting #6: cost 8 inf + 47315
24.668 * * [simplify]: Extracting #7: cost 0 inf + 52144
24.686 * * [simplify]: Extracting #8: cost 0 inf + 51944
24.701 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
24.701 * [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)))))
24.701 * * * * [progress]: [ 108 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
24.701 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1)
24.701 * * [simplify]: iters left: 6 (12 enodes)
24.706 * * [simplify]: iters left: 5 (52 enodes)
24.717 * * [simplify]: iters left: 4 (90 enodes)
24.737 * * [simplify]: iters left: 3 (151 enodes)
24.771 * * [simplify]: iters left: 2 (287 enodes)
24.863 * * [simplify]: Extracting #0: cost 1 inf + 0
24.863 * * [simplify]: Extracting #1: cost 31 inf + 0
24.863 * * [simplify]: Extracting #2: cost 99 inf + 2
24.864 * * [simplify]: Extracting #3: cost 141 inf + 219
24.864 * * [simplify]: Extracting #4: cost 139 inf + 807
24.866 * * [simplify]: Extracting #5: cost 85 inf + 6440
24.869 * * [simplify]: Extracting #6: cost 41 inf + 22533
24.878 * * [simplify]: Extracting #7: cost 3 inf + 47776
24.887 * * [simplify]: Extracting #8: cost 0 inf + 50387
24.902 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
24.902 * [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))))
24.902 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
24.902 * * [simplify]: iters left: 6 (13 enodes)
24.911 * * [simplify]: iters left: 5 (57 enodes)
24.923 * * [simplify]: iters left: 4 (95 enodes)
24.942 * * [simplify]: iters left: 3 (154 enodes)
25.000 * * [simplify]: iters left: 2 (287 enodes)
25.081 * * [simplify]: Extracting #0: cost 1 inf + 0
25.081 * * [simplify]: Extracting #1: cost 30 inf + 0
25.081 * * [simplify]: Extracting #2: cost 73 inf + 0
25.081 * * [simplify]: Extracting #3: cost 136 inf + 3
25.082 * * [simplify]: Extracting #4: cost 130 inf + 1385
25.085 * * [simplify]: Extracting #5: cost 76 inf + 14535
25.091 * * [simplify]: Extracting #6: cost 5 inf + 50457
25.102 * * [simplify]: Extracting #7: cost 0 inf + 54374
25.117 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))
25.117 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))))
25.117 * * * * [progress]: [ 109 / 133 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
25.117 * * * * [progress]: [ 110 / 133 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
25.117 * * * * [progress]: [ 111 / 133 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
25.117 * * * * [progress]: [ 112 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
25.118 * [simplify]: Simplifying (cbrt (sqrt k))
25.118 * * [simplify]: iters left: 2 (3 enodes)
25.119 * * [simplify]: iters left: 1 (9 enodes)
25.122 * * [simplify]: Extracting #0: cost 1 inf + 0
25.122 * * [simplify]: Extracting #1: cost 3 inf + 0
25.122 * * [simplify]: Extracting #2: cost 5 inf + 0
25.122 * * [simplify]: Extracting #3: cost 4 inf + 1
25.122 * * [simplify]: Extracting #4: cost 0 inf + 325
25.123 * [simplify]: Simplified to (cbrt (sqrt k))
25.123 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
25.123 * * * * [progress]: [ 113 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
25.123 * [simplify]: Simplifying (sqrt (cbrt k))
25.123 * * [simplify]: iters left: 2 (3 enodes)
25.124 * * [simplify]: iters left: 1 (9 enodes)
25.127 * * [simplify]: Extracting #0: cost 1 inf + 0
25.127 * * [simplify]: Extracting #1: cost 3 inf + 0
25.127 * * [simplify]: Extracting #2: cost 5 inf + 0
25.127 * * [simplify]: Extracting #3: cost 4 inf + 1
25.127 * * [simplify]: Extracting #4: cost 0 inf + 405
25.127 * [simplify]: Simplified to (sqrt (cbrt k))
25.127 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))
25.128 * * * * [progress]: [ 114 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
25.128 * [simplify]: Simplifying (sqrt (sqrt k))
25.128 * * [simplify]: iters left: 2 (3 enodes)
25.129 * * [simplify]: iters left: 1 (9 enodes)
25.132 * * [simplify]: Extracting #0: cost 1 inf + 0
25.132 * * [simplify]: Extracting #1: cost 3 inf + 0
25.132 * * [simplify]: Extracting #2: cost 5 inf + 0
25.132 * * [simplify]: Extracting #3: cost 4 inf + 1
25.132 * * [simplify]: Extracting #4: cost 0 inf + 245
25.132 * [simplify]: Simplified to (sqrt (sqrt k))
25.132 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))
25.132 * * * * [progress]: [ 115 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))>
25.132 * [simplify]: Simplifying (sqrt k)
25.132 * * [simplify]: iters left: 1 (2 enodes)
25.133 * * [simplify]: Extracting #0: cost 1 inf + 0
25.133 * * [simplify]: Extracting #1: cost 3 inf + 0
25.133 * * [simplify]: Extracting #2: cost 2 inf + 1
25.133 * * [simplify]: Extracting #3: cost 0 inf + 83
25.134 * [simplify]: Simplified to (sqrt k)
25.134 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))
25.134 * * * * [progress]: [ 116 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
25.134 * [simplify]: Simplifying (sqrt (sqrt k))
25.134 * * [simplify]: iters left: 2 (3 enodes)
25.135 * * [simplify]: iters left: 1 (9 enodes)
25.138 * * [simplify]: Extracting #0: cost 1 inf + 0
25.138 * * [simplify]: Extracting #1: cost 3 inf + 0
25.138 * * [simplify]: Extracting #2: cost 5 inf + 0
25.138 * * [simplify]: Extracting #3: cost 4 inf + 1
25.138 * * [simplify]: Extracting #4: cost 0 inf + 245
25.138 * [simplify]: Simplified to (sqrt (sqrt k))
25.138 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))
25.138 * * * * [progress]: [ 117 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
25.139 * [simplify]: Simplifying (sqrt k)
25.139 * * [simplify]: iters left: 1 (2 enodes)
25.140 * * [simplify]: Extracting #0: cost 1 inf + 0
25.140 * * [simplify]: Extracting #1: cost 3 inf + 0
25.140 * * [simplify]: Extracting #2: cost 2 inf + 1
25.140 * * [simplify]: Extracting #3: cost 0 inf + 83
25.140 * [simplify]: Simplified to (sqrt k)
25.140 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))
25.140 * * * * [progress]: [ 118 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))>
25.140 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
25.140 * * [simplify]: iters left: 5 (7 enodes)
25.145 * * [simplify]: iters left: 4 (32 enodes)
25.151 * * [simplify]: iters left: 3 (57 enodes)
25.162 * * [simplify]: iters left: 2 (88 enodes)
25.193 * * [simplify]: iters left: 1 (156 enodes)
25.251 * * [simplify]: Extracting #0: cost 1 inf + 0
25.251 * * [simplify]: Extracting #1: cost 13 inf + 0
25.251 * * [simplify]: Extracting #2: cost 49 inf + 2
25.251 * * [simplify]: Extracting #3: cost 80 inf + 6
25.252 * * [simplify]: Extracting #4: cost 58 inf + 1840
25.253 * * [simplify]: Extracting #5: cost 22 inf + 9206
25.256 * * [simplify]: Extracting #6: cost 1 inf + 20886
25.259 * * [simplify]: Extracting #7: cost 0 inf + 21301
25.262 * * [simplify]: Extracting #8: cost 0 inf + 21130
25.265 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
25.265 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
25.265 * * * * [progress]: [ 119 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
25.265 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
25.265 * * [simplify]: iters left: 6 (12 enodes)
25.271 * * [simplify]: iters left: 5 (51 enodes)
25.289 * * [simplify]: iters left: 4 (84 enodes)
25.317 * * [simplify]: iters left: 3 (125 enodes)
25.362 * * [simplify]: iters left: 2 (198 enodes)
25.422 * * [simplify]: iters left: 1 (353 enodes)
25.581 * * [simplify]: Extracting #0: cost 1 inf + 0
25.581 * * [simplify]: Extracting #1: cost 3 inf + 0
25.581 * * [simplify]: Extracting #2: cost 5 inf + 0
25.581 * * [simplify]: Extracting #3: cost 28 inf + 0
25.581 * * [simplify]: Extracting #4: cost 101 inf + 1
25.582 * * [simplify]: Extracting #5: cost 136 inf + 176
25.583 * * [simplify]: Extracting #6: cost 126 inf + 1348
25.586 * * [simplify]: Extracting #7: cost 70 inf + 12457
25.600 * * [simplify]: Extracting #8: cost 19 inf + 42176
25.620 * * [simplify]: Extracting #9: cost 0 inf + 57297
25.639 * * [simplify]: Extracting #10: cost 0 inf + 56855
25.651 * * [simplify]: Extracting #11: cost 0 inf + 56816
25.661 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
25.661 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
25.661 * * * * [progress]: [ 120 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
25.661 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
25.661 * * [simplify]: iters left: 6 (11 enodes)
25.665 * * [simplify]: iters left: 5 (48 enodes)
25.677 * * [simplify]: iters left: 4 (78 enodes)
25.707 * * [simplify]: iters left: 3 (120 enodes)
25.732 * * [simplify]: iters left: 2 (211 enodes)
25.790 * * [simplify]: iters left: 1 (380 enodes)
25.938 * * [simplify]: Extracting #0: cost 1 inf + 0
25.938 * * [simplify]: Extracting #1: cost 4 inf + 0
25.938 * * [simplify]: Extracting #2: cost 29 inf + 0
25.939 * * [simplify]: Extracting #3: cost 113 inf + 1
25.940 * * [simplify]: Extracting #4: cost 155 inf + 220
25.942 * * [simplify]: Extracting #5: cost 153 inf + 561
25.944 * * [simplify]: Extracting #6: cost 121 inf + 2833
25.950 * * [simplify]: Extracting #7: cost 68 inf + 14038
25.965 * * [simplify]: Extracting #8: cost 15 inf + 50044
25.986 * * [simplify]: Extracting #9: cost 0 inf + 59395
26.003 * * [simplify]: Extracting #10: cost 0 inf + 59194
26.017 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
26.017 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
26.017 * * * * [progress]: [ 121 / 133 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
26.018 * * * * [progress]: [ 122 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
26.018 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
26.018 * * [simplify]: iters left: 6 (11 enodes)
26.022 * * [simplify]: iters left: 5 (51 enodes)
26.035 * * [simplify]: iters left: 4 (87 enodes)
26.061 * * [simplify]: iters left: 3 (143 enodes)
26.107 * * [simplify]: iters left: 2 (259 enodes)
26.197 * * [simplify]: iters left: 1 (469 enodes)
26.717 * * [simplify]: Extracting #0: cost 1 inf + 0
26.717 * * [simplify]: Extracting #1: cost 24 inf + 0
26.718 * * [simplify]: Extracting #2: cost 110 inf + 1
26.719 * * [simplify]: Extracting #3: cost 192 inf + 178
26.720 * * [simplify]: Extracting #4: cost 178 inf + 1845
26.723 * * [simplify]: Extracting #5: cost 89 inf + 12477
26.729 * * [simplify]: Extracting #6: cost 41 inf + 28219
26.753 * * [simplify]: Extracting #7: cost 4 inf + 58625
26.765 * * [simplify]: Extracting #8: cost 0 inf + 62670
26.776 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k)))
26.776 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))
26.776 * * * * [progress]: [ 123 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
26.776 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2))
26.776 * * [simplify]: iters left: 5 (8 enodes)
26.780 * * [simplify]: iters left: 4 (35 enodes)
26.788 * * [simplify]: iters left: 3 (63 enodes)
26.802 * * [simplify]: iters left: 2 (108 enodes)
26.824 * * [simplify]: iters left: 1 (162 enodes)
26.858 * * [simplify]: Extracting #0: cost 1 inf + 0
26.858 * * [simplify]: Extracting #1: cost 12 inf + 0
26.858 * * [simplify]: Extracting #2: cost 40 inf + 2
26.859 * * [simplify]: Extracting #3: cost 40 inf + 9
26.860 * * [simplify]: Extracting #4: cost 25 inf + 2233
26.862 * * [simplify]: Extracting #5: cost 10 inf + 8991
26.865 * * [simplify]: Extracting #6: cost 0 inf + 14572
26.869 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
26.869 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))
26.869 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
26.869 * * * * [progress]: [ 125 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
26.870 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
26.870 * * [simplify]: iters left: 6 (37 enodes)
26.893 * * [simplify]: iters left: 5 (190 enodes)
26.980 * * [simplify]: Extracting #0: cost 1 inf + 0
26.980 * * [simplify]: Extracting #1: cost 22 inf + 0
26.981 * * [simplify]: Extracting #2: cost 108 inf + 1
26.982 * * [simplify]: Extracting #3: cost 171 inf + 46
26.983 * * [simplify]: Extracting #4: cost 189 inf + 427
26.987 * * [simplify]: Extracting #5: cost 128 inf + 16032
27.003 * * [simplify]: Extracting #6: cost 29 inf + 57153
27.032 * * [simplify]: Extracting #7: cost 4 inf + 75884
27.048 * * [simplify]: Extracting #8: cost 0 inf + 78767
27.074 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2)))
27.074 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (sqrt k)))
27.075 * * * * [progress]: [ 126 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
27.075 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
27.075 * * [simplify]: iters left: 6 (15 enodes)
27.085 * * [simplify]: iters left: 5 (65 enodes)
27.109 * * [simplify]: iters left: 4 (123 enodes)
27.145 * * [simplify]: iters left: 3 (367 enodes)
27.316 * * [simplify]: Extracting #0: cost 1 inf + 0
27.316 * * [simplify]: Extracting #1: cost 37 inf + 0
27.317 * * [simplify]: Extracting #2: cost 216 inf + 72
27.318 * * [simplify]: Extracting #3: cost 356 inf + 1622
27.323 * * [simplify]: Extracting #4: cost 219 inf + 28945
27.336 * * [simplify]: Extracting #5: cost 21 inf + 83197
27.358 * * [simplify]: Extracting #6: cost 0 inf + 89881
27.395 * * [simplify]: Extracting #7: cost 0 inf + 89729
27.427 * * [simplify]: Extracting #8: cost 0 inf + 89726
27.460 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))
27.460 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k)))
27.460 * * * * [progress]: [ 127 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
27.460 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
27.461 * * [simplify]: iters left: 6 (16 enodes)
27.471 * * [simplify]: iters left: 5 (67 enodes)
27.496 * * [simplify]: iters left: 4 (134 enodes)
27.562 * * [simplify]: iters left: 3 (413 enodes)
27.777 * * [simplify]: Extracting #0: cost 1 inf + 0
27.777 * * [simplify]: Extracting #1: cost 39 inf + 0
27.778 * * [simplify]: Extracting #2: cost 241 inf + 72
27.779 * * [simplify]: Extracting #3: cost 450 inf + 903
27.782 * * [simplify]: Extracting #4: cost 376 inf + 10375
27.793 * * [simplify]: Extracting #5: cost 158 inf + 67083
27.826 * * [simplify]: Extracting #6: cost 12 inf + 118840
27.853 * * [simplify]: Extracting #7: cost 0 inf + 121984
27.884 * * [simplify]: Extracting #8: cost 0 inf + 121983
27.930 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))
27.930 * [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)))
27.930 * * * * [progress]: [ 128 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
27.930 * [simplify]: Simplifying (* 2 (* n PI))
27.930 * * [simplify]: iters left: 4 (5 enodes)
27.933 * * [simplify]: iters left: 3 (19 enodes)
27.940 * * [simplify]: iters left: 2 (27 enodes)
27.948 * * [simplify]: iters left: 1 (32 enodes)
27.957 * * [simplify]: Extracting #0: cost 1 inf + 0
27.957 * * [simplify]: Extracting #1: cost 8 inf + 0
27.957 * * [simplify]: Extracting #2: cost 7 inf + 45
27.957 * * [simplify]: Extracting #3: cost 0 inf + 421
27.957 * [simplify]: Simplified to (* (* PI n) 2)
27.957 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
27.957 * * * * [progress]: [ 129 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
27.958 * [simplify]: Simplifying (* 2 (* n PI))
27.958 * * [simplify]: iters left: 4 (5 enodes)
27.961 * * [simplify]: iters left: 3 (19 enodes)
27.967 * * [simplify]: iters left: 2 (27 enodes)
27.973 * * [simplify]: iters left: 1 (32 enodes)
27.978 * * [simplify]: Extracting #0: cost 1 inf + 0
27.978 * * [simplify]: Extracting #1: cost 8 inf + 0
27.978 * * [simplify]: Extracting #2: cost 7 inf + 45
27.978 * * [simplify]: Extracting #3: cost 0 inf + 421
27.979 * [simplify]: Simplified to (* (* PI n) 2)
27.979 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
27.979 * * * * [progress]: [ 130 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
27.979 * [simplify]: Simplifying (* 2 (* n PI))
27.979 * * [simplify]: iters left: 4 (5 enodes)
27.980 * * [simplify]: iters left: 3 (19 enodes)
27.984 * * [simplify]: iters left: 2 (27 enodes)
27.988 * * [simplify]: iters left: 1 (32 enodes)
27.992 * * [simplify]: Extracting #0: cost 1 inf + 0
27.993 * * [simplify]: Extracting #1: cost 8 inf + 0
27.993 * * [simplify]: Extracting #2: cost 7 inf + 45
27.993 * * [simplify]: Extracting #3: cost 0 inf + 421
27.993 * [simplify]: Simplified to (* (* PI n) 2)
27.993 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
27.993 * * * * [progress]: [ 131 / 133 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
27.993 * [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))))))))))))))))))))))
27.993 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
27.994 * * * * [progress]: [ 132 / 133 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
27.994 * [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))))))))
27.994 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
27.994 * * * * [progress]: [ 133 / 133 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
27.994 * [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))))))))))))
27.994 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
27.994 * * * [progress]: adding candidates to table
29.362 * * [progress]: iteration 2 / 4
29.362 * * * [progress]: picking best candidate
29.397 * * * * [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))))>
29.397 * * * [progress]: localizing error
29.428 * * * [progress]: generating rewritten candidates
29.428 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
29.458 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
29.473 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
29.487 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
29.522 * * * [progress]: generating series expansions
29.522 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
29.523 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
29.523 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
29.523 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
29.524 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
29.524 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
29.524 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
29.524 * [taylor]: Taking taylor expansion of 1/4 in k
29.524 * [backup-simplify]: Simplify 1/4 into 1/4
29.524 * [taylor]: Taking taylor expansion of (- 1 k) in k
29.524 * [taylor]: Taking taylor expansion of 1 in k
29.524 * [backup-simplify]: Simplify 1 into 1
29.524 * [taylor]: Taking taylor expansion of k in k
29.524 * [backup-simplify]: Simplify 0 into 0
29.524 * [backup-simplify]: Simplify 1 into 1
29.524 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
29.524 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
29.524 * [taylor]: Taking taylor expansion of 2 in k
29.524 * [backup-simplify]: Simplify 2 into 2
29.524 * [taylor]: Taking taylor expansion of (* n PI) in k
29.524 * [taylor]: Taking taylor expansion of n in k
29.524 * [backup-simplify]: Simplify n into n
29.524 * [taylor]: Taking taylor expansion of PI in k
29.524 * [backup-simplify]: Simplify PI into PI
29.524 * [backup-simplify]: Simplify (* n PI) into (* n PI)
29.524 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
29.524 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
29.525 * [backup-simplify]: Simplify (- 0) into 0
29.525 * [backup-simplify]: Simplify (+ 1 0) into 1
29.526 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
29.526 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
29.526 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
29.526 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
29.526 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
29.526 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
29.526 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
29.526 * [taylor]: Taking taylor expansion of 1/4 in n
29.526 * [backup-simplify]: Simplify 1/4 into 1/4
29.526 * [taylor]: Taking taylor expansion of (- 1 k) in n
29.526 * [taylor]: Taking taylor expansion of 1 in n
29.526 * [backup-simplify]: Simplify 1 into 1
29.526 * [taylor]: Taking taylor expansion of k in n
29.526 * [backup-simplify]: Simplify k into k
29.526 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
29.526 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.526 * [taylor]: Taking taylor expansion of 2 in n
29.526 * [backup-simplify]: Simplify 2 into 2
29.526 * [taylor]: Taking taylor expansion of (* n PI) in n
29.526 * [taylor]: Taking taylor expansion of n in n
29.526 * [backup-simplify]: Simplify 0 into 0
29.526 * [backup-simplify]: Simplify 1 into 1
29.527 * [taylor]: Taking taylor expansion of PI in n
29.527 * [backup-simplify]: Simplify PI into PI
29.527 * [backup-simplify]: Simplify (* 0 PI) into 0
29.527 * [backup-simplify]: Simplify (* 2 0) into 0
29.529 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
29.530 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
29.531 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.531 * [backup-simplify]: Simplify (- k) into (- k)
29.532 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
29.532 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
29.539 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.540 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
29.541 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
29.542 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
29.542 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
29.542 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
29.542 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
29.542 * [taylor]: Taking taylor expansion of 1/4 in n
29.542 * [backup-simplify]: Simplify 1/4 into 1/4
29.542 * [taylor]: Taking taylor expansion of (- 1 k) in n
29.542 * [taylor]: Taking taylor expansion of 1 in n
29.542 * [backup-simplify]: Simplify 1 into 1
29.542 * [taylor]: Taking taylor expansion of k in n
29.542 * [backup-simplify]: Simplify k into k
29.542 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
29.542 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.542 * [taylor]: Taking taylor expansion of 2 in n
29.542 * [backup-simplify]: Simplify 2 into 2
29.542 * [taylor]: Taking taylor expansion of (* n PI) in n
29.542 * [taylor]: Taking taylor expansion of n in n
29.542 * [backup-simplify]: Simplify 0 into 0
29.542 * [backup-simplify]: Simplify 1 into 1
29.542 * [taylor]: Taking taylor expansion of PI in n
29.542 * [backup-simplify]: Simplify PI into PI
29.543 * [backup-simplify]: Simplify (* 0 PI) into 0
29.543 * [backup-simplify]: Simplify (* 2 0) into 0
29.545 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
29.546 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
29.547 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.547 * [backup-simplify]: Simplify (- k) into (- k)
29.547 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
29.548 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
29.549 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.550 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
29.551 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
29.552 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
29.552 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
29.552 * [taylor]: Taking taylor expansion of 1/4 in k
29.552 * [backup-simplify]: Simplify 1/4 into 1/4
29.552 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
29.552 * [taylor]: Taking taylor expansion of (- 1 k) in k
29.552 * [taylor]: Taking taylor expansion of 1 in k
29.552 * [backup-simplify]: Simplify 1 into 1
29.552 * [taylor]: Taking taylor expansion of k in k
29.552 * [backup-simplify]: Simplify 0 into 0
29.552 * [backup-simplify]: Simplify 1 into 1
29.552 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
29.552 * [taylor]: Taking taylor expansion of (log n) in k
29.552 * [taylor]: Taking taylor expansion of n in k
29.552 * [backup-simplify]: Simplify n into n
29.552 * [backup-simplify]: Simplify (log n) into (log n)
29.552 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
29.552 * [taylor]: Taking taylor expansion of (* 2 PI) in k
29.552 * [taylor]: Taking taylor expansion of 2 in k
29.552 * [backup-simplify]: Simplify 2 into 2
29.552 * [taylor]: Taking taylor expansion of PI in k
29.552 * [backup-simplify]: Simplify PI into PI
29.553 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.554 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.554 * [backup-simplify]: Simplify (- 0) into 0
29.554 * [backup-simplify]: Simplify (+ 1 0) into 1
29.555 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.556 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
29.557 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
29.558 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
29.560 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
29.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
29.562 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
29.563 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
29.564 * [backup-simplify]: Simplify (- 0) into 0
29.564 * [backup-simplify]: Simplify (+ 0 0) into 0
29.565 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
29.566 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.567 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
29.569 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
29.569 * [taylor]: Taking taylor expansion of 0 in k
29.569 * [backup-simplify]: Simplify 0 into 0
29.569 * [backup-simplify]: Simplify 0 into 0
29.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
29.571 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
29.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
29.573 * [backup-simplify]: Simplify (+ 0 0) into 0
29.573 * [backup-simplify]: Simplify (- 1) into -1
29.574 * [backup-simplify]: Simplify (+ 0 -1) into -1
29.575 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
29.577 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
29.580 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
29.583 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
29.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
29.586 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
29.589 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
29.590 * [backup-simplify]: Simplify (- 0) into 0
29.590 * [backup-simplify]: Simplify (+ 0 0) into 0
29.591 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
29.592 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.594 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
29.596 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
29.596 * [taylor]: Taking taylor expansion of 0 in k
29.596 * [backup-simplify]: Simplify 0 into 0
29.597 * [backup-simplify]: Simplify 0 into 0
29.597 * [backup-simplify]: Simplify 0 into 0
29.599 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
29.600 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
29.603 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
29.603 * [backup-simplify]: Simplify (+ 0 0) into 0
29.604 * [backup-simplify]: Simplify (- 0) into 0
29.604 * [backup-simplify]: Simplify (+ 0 0) into 0
29.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
29.609 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
29.612 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
29.617 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
29.626 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
29.627 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
29.627 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
29.627 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
29.627 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
29.627 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
29.627 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
29.627 * [taylor]: Taking taylor expansion of 1/4 in k
29.627 * [backup-simplify]: Simplify 1/4 into 1/4
29.627 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
29.627 * [taylor]: Taking taylor expansion of 1 in k
29.627 * [backup-simplify]: Simplify 1 into 1
29.627 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.627 * [taylor]: Taking taylor expansion of k in k
29.627 * [backup-simplify]: Simplify 0 into 0
29.627 * [backup-simplify]: Simplify 1 into 1
29.628 * [backup-simplify]: Simplify (/ 1 1) into 1
29.628 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
29.628 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
29.628 * [taylor]: Taking taylor expansion of 2 in k
29.628 * [backup-simplify]: Simplify 2 into 2
29.628 * [taylor]: Taking taylor expansion of (/ PI n) in k
29.628 * [taylor]: Taking taylor expansion of PI in k
29.628 * [backup-simplify]: Simplify PI into PI
29.628 * [taylor]: Taking taylor expansion of n in k
29.628 * [backup-simplify]: Simplify n into n
29.628 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
29.628 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
29.628 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
29.628 * [backup-simplify]: Simplify (- 1) into -1
29.629 * [backup-simplify]: Simplify (+ 0 -1) into -1
29.629 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
29.629 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
29.629 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
29.629 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
29.629 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
29.629 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
29.629 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
29.629 * [taylor]: Taking taylor expansion of 1/4 in n
29.629 * [backup-simplify]: Simplify 1/4 into 1/4
29.629 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
29.629 * [taylor]: Taking taylor expansion of 1 in n
29.629 * [backup-simplify]: Simplify 1 into 1
29.629 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.629 * [taylor]: Taking taylor expansion of k in n
29.629 * [backup-simplify]: Simplify k into k
29.629 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.629 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
29.629 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.629 * [taylor]: Taking taylor expansion of 2 in n
29.629 * [backup-simplify]: Simplify 2 into 2
29.629 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.629 * [taylor]: Taking taylor expansion of PI in n
29.629 * [backup-simplify]: Simplify PI into PI
29.629 * [taylor]: Taking taylor expansion of n in n
29.629 * [backup-simplify]: Simplify 0 into 0
29.629 * [backup-simplify]: Simplify 1 into 1
29.630 * [backup-simplify]: Simplify (/ PI 1) into PI
29.630 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.631 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.631 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
29.631 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
29.631 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
29.632 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.632 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
29.633 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
29.633 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
29.633 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
29.633 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
29.633 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
29.633 * [taylor]: Taking taylor expansion of 1/4 in n
29.633 * [backup-simplify]: Simplify 1/4 into 1/4
29.633 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
29.633 * [taylor]: Taking taylor expansion of 1 in n
29.633 * [backup-simplify]: Simplify 1 into 1
29.633 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.633 * [taylor]: Taking taylor expansion of k in n
29.633 * [backup-simplify]: Simplify k into k
29.633 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.633 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
29.633 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.633 * [taylor]: Taking taylor expansion of 2 in n
29.633 * [backup-simplify]: Simplify 2 into 2
29.633 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.633 * [taylor]: Taking taylor expansion of PI in n
29.633 * [backup-simplify]: Simplify PI into PI
29.633 * [taylor]: Taking taylor expansion of n in n
29.633 * [backup-simplify]: Simplify 0 into 0
29.633 * [backup-simplify]: Simplify 1 into 1
29.634 * [backup-simplify]: Simplify (/ PI 1) into PI
29.634 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.635 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.635 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
29.635 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
29.635 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
29.636 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.636 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
29.637 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
29.637 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
29.637 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
29.637 * [taylor]: Taking taylor expansion of 1/4 in k
29.637 * [backup-simplify]: Simplify 1/4 into 1/4
29.637 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
29.637 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
29.637 * [taylor]: Taking taylor expansion of 1 in k
29.637 * [backup-simplify]: Simplify 1 into 1
29.637 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.637 * [taylor]: Taking taylor expansion of k in k
29.637 * [backup-simplify]: Simplify 0 into 0
29.637 * [backup-simplify]: Simplify 1 into 1
29.637 * [backup-simplify]: Simplify (/ 1 1) into 1
29.637 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
29.637 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
29.637 * [taylor]: Taking taylor expansion of (* 2 PI) in k
29.637 * [taylor]: Taking taylor expansion of 2 in k
29.637 * [backup-simplify]: Simplify 2 into 2
29.637 * [taylor]: Taking taylor expansion of PI in k
29.637 * [backup-simplify]: Simplify PI into PI
29.638 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.638 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.638 * [taylor]: Taking taylor expansion of (log n) in k
29.638 * [taylor]: Taking taylor expansion of n in k
29.638 * [backup-simplify]: Simplify n into n
29.638 * [backup-simplify]: Simplify (log n) into (log n)
29.639 * [backup-simplify]: Simplify (- 1) into -1
29.639 * [backup-simplify]: Simplify (+ 0 -1) into -1
29.639 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
29.640 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
29.640 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
29.641 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
29.642 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
29.642 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
29.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.643 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
29.644 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
29.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
29.645 * [backup-simplify]: Simplify (- 0) into 0
29.645 * [backup-simplify]: Simplify (+ 0 0) into 0
29.645 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
29.646 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.647 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
29.648 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
29.648 * [taylor]: Taking taylor expansion of 0 in k
29.648 * [backup-simplify]: Simplify 0 into 0
29.648 * [backup-simplify]: Simplify 0 into 0
29.648 * [backup-simplify]: Simplify 0 into 0
29.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
29.651 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
29.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.651 * [backup-simplify]: Simplify (- 0) into 0
29.652 * [backup-simplify]: Simplify (+ 0 0) into 0
29.652 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
29.653 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.654 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
29.655 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
29.655 * [taylor]: Taking taylor expansion of 0 in k
29.655 * [backup-simplify]: Simplify 0 into 0
29.655 * [backup-simplify]: Simplify 0 into 0
29.655 * [backup-simplify]: Simplify 0 into 0
29.655 * [backup-simplify]: Simplify 0 into 0
29.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.658 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.669 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
29.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.670 * [backup-simplify]: Simplify (- 0) into 0
29.670 * [backup-simplify]: Simplify (+ 0 0) into 0
29.671 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
29.673 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.675 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
29.677 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
29.677 * [taylor]: Taking taylor expansion of 0 in k
29.677 * [backup-simplify]: Simplify 0 into 0
29.677 * [backup-simplify]: Simplify 0 into 0
29.679 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
29.679 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
29.679 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
29.679 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
29.680 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
29.680 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
29.680 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
29.680 * [taylor]: Taking taylor expansion of 1/4 in k
29.680 * [backup-simplify]: Simplify 1/4 into 1/4
29.680 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
29.680 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.680 * [taylor]: Taking taylor expansion of k in k
29.680 * [backup-simplify]: Simplify 0 into 0
29.680 * [backup-simplify]: Simplify 1 into 1
29.680 * [backup-simplify]: Simplify (/ 1 1) into 1
29.680 * [taylor]: Taking taylor expansion of 1 in k
29.680 * [backup-simplify]: Simplify 1 into 1
29.680 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
29.680 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
29.680 * [taylor]: Taking taylor expansion of -2 in k
29.680 * [backup-simplify]: Simplify -2 into -2
29.680 * [taylor]: Taking taylor expansion of (/ PI n) in k
29.680 * [taylor]: Taking taylor expansion of PI in k
29.680 * [backup-simplify]: Simplify PI into PI
29.680 * [taylor]: Taking taylor expansion of n in k
29.680 * [backup-simplify]: Simplify n into n
29.681 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
29.681 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
29.681 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
29.681 * [backup-simplify]: Simplify (+ 1 0) into 1
29.682 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
29.682 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
29.682 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
29.682 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
29.682 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
29.682 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
29.682 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
29.682 * [taylor]: Taking taylor expansion of 1/4 in n
29.682 * [backup-simplify]: Simplify 1/4 into 1/4
29.682 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
29.682 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.682 * [taylor]: Taking taylor expansion of k in n
29.682 * [backup-simplify]: Simplify k into k
29.682 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.682 * [taylor]: Taking taylor expansion of 1 in n
29.682 * [backup-simplify]: Simplify 1 into 1
29.682 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
29.682 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.682 * [taylor]: Taking taylor expansion of -2 in n
29.682 * [backup-simplify]: Simplify -2 into -2
29.682 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.682 * [taylor]: Taking taylor expansion of PI in n
29.683 * [backup-simplify]: Simplify PI into PI
29.683 * [taylor]: Taking taylor expansion of n in n
29.683 * [backup-simplify]: Simplify 0 into 0
29.683 * [backup-simplify]: Simplify 1 into 1
29.683 * [backup-simplify]: Simplify (/ PI 1) into PI
29.684 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.685 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
29.685 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
29.685 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
29.686 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.687 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
29.688 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
29.688 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
29.688 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
29.688 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
29.688 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
29.688 * [taylor]: Taking taylor expansion of 1/4 in n
29.688 * [backup-simplify]: Simplify 1/4 into 1/4
29.688 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
29.689 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.689 * [taylor]: Taking taylor expansion of k in n
29.689 * [backup-simplify]: Simplify k into k
29.689 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.689 * [taylor]: Taking taylor expansion of 1 in n
29.689 * [backup-simplify]: Simplify 1 into 1
29.689 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
29.689 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.689 * [taylor]: Taking taylor expansion of -2 in n
29.689 * [backup-simplify]: Simplify -2 into -2
29.689 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.689 * [taylor]: Taking taylor expansion of PI in n
29.689 * [backup-simplify]: Simplify PI into PI
29.689 * [taylor]: Taking taylor expansion of n in n
29.689 * [backup-simplify]: Simplify 0 into 0
29.689 * [backup-simplify]: Simplify 1 into 1
29.689 * [backup-simplify]: Simplify (/ PI 1) into PI
29.690 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.691 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
29.691 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
29.691 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
29.692 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.694 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
29.695 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
29.695 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
29.695 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
29.695 * [taylor]: Taking taylor expansion of 1/4 in k
29.695 * [backup-simplify]: Simplify 1/4 into 1/4
29.695 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
29.695 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
29.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.695 * [taylor]: Taking taylor expansion of k in k
29.695 * [backup-simplify]: Simplify 0 into 0
29.695 * [backup-simplify]: Simplify 1 into 1
29.696 * [backup-simplify]: Simplify (/ 1 1) into 1
29.696 * [taylor]: Taking taylor expansion of 1 in k
29.696 * [backup-simplify]: Simplify 1 into 1
29.696 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
29.696 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
29.696 * [taylor]: Taking taylor expansion of (* -2 PI) in k
29.696 * [taylor]: Taking taylor expansion of -2 in k
29.696 * [backup-simplify]: Simplify -2 into -2
29.696 * [taylor]: Taking taylor expansion of PI in k
29.696 * [backup-simplify]: Simplify PI into PI
29.696 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.698 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
29.698 * [taylor]: Taking taylor expansion of (log n) in k
29.698 * [taylor]: Taking taylor expansion of n in k
29.698 * [backup-simplify]: Simplify n into n
29.698 * [backup-simplify]: Simplify (log n) into (log n)
29.698 * [backup-simplify]: Simplify (+ 1 0) into 1
29.698 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
29.699 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
29.700 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
29.701 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
29.703 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
29.704 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
29.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.705 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
29.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
29.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
29.708 * [backup-simplify]: Simplify (+ 0 0) into 0
29.708 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
29.710 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.711 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
29.713 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
29.713 * [taylor]: Taking taylor expansion of 0 in k
29.713 * [backup-simplify]: Simplify 0 into 0
29.713 * [backup-simplify]: Simplify 0 into 0
29.713 * [backup-simplify]: Simplify 0 into 0
29.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.715 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
29.719 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
29.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.720 * [backup-simplify]: Simplify (+ 0 0) into 0
29.721 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
29.723 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.724 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
29.727 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
29.727 * [taylor]: Taking taylor expansion of 0 in k
29.727 * [backup-simplify]: Simplify 0 into 0
29.727 * [backup-simplify]: Simplify 0 into 0
29.727 * [backup-simplify]: Simplify 0 into 0
29.727 * [backup-simplify]: Simplify 0 into 0
29.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.729 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.734 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
29.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.734 * [backup-simplify]: Simplify (+ 0 0) into 0
29.735 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
29.736 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.737 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
29.739 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
29.739 * [taylor]: Taking taylor expansion of 0 in k
29.739 * [backup-simplify]: Simplify 0 into 0
29.739 * [backup-simplify]: Simplify 0 into 0
29.739 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
29.740 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
29.740 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
29.740 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
29.740 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
29.740 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
29.740 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
29.740 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
29.740 * [taylor]: Taking taylor expansion of 1/4 in k
29.740 * [backup-simplify]: Simplify 1/4 into 1/4
29.740 * [taylor]: Taking taylor expansion of (- 1 k) in k
29.740 * [taylor]: Taking taylor expansion of 1 in k
29.740 * [backup-simplify]: Simplify 1 into 1
29.740 * [taylor]: Taking taylor expansion of k in k
29.740 * [backup-simplify]: Simplify 0 into 0
29.740 * [backup-simplify]: Simplify 1 into 1
29.740 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
29.740 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
29.740 * [taylor]: Taking taylor expansion of 2 in k
29.740 * [backup-simplify]: Simplify 2 into 2
29.740 * [taylor]: Taking taylor expansion of (* n PI) in k
29.740 * [taylor]: Taking taylor expansion of n in k
29.740 * [backup-simplify]: Simplify n into n
29.740 * [taylor]: Taking taylor expansion of PI in k
29.740 * [backup-simplify]: Simplify PI into PI
29.740 * [backup-simplify]: Simplify (* n PI) into (* n PI)
29.740 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
29.740 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
29.741 * [backup-simplify]: Simplify (- 0) into 0
29.741 * [backup-simplify]: Simplify (+ 1 0) into 1
29.741 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
29.741 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
29.741 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
29.741 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
29.741 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
29.741 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
29.741 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
29.741 * [taylor]: Taking taylor expansion of 1/4 in n
29.741 * [backup-simplify]: Simplify 1/4 into 1/4
29.741 * [taylor]: Taking taylor expansion of (- 1 k) in n
29.741 * [taylor]: Taking taylor expansion of 1 in n
29.742 * [backup-simplify]: Simplify 1 into 1
29.742 * [taylor]: Taking taylor expansion of k in n
29.742 * [backup-simplify]: Simplify k into k
29.742 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
29.742 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.742 * [taylor]: Taking taylor expansion of 2 in n
29.742 * [backup-simplify]: Simplify 2 into 2
29.742 * [taylor]: Taking taylor expansion of (* n PI) in n
29.742 * [taylor]: Taking taylor expansion of n in n
29.742 * [backup-simplify]: Simplify 0 into 0
29.742 * [backup-simplify]: Simplify 1 into 1
29.742 * [taylor]: Taking taylor expansion of PI in n
29.742 * [backup-simplify]: Simplify PI into PI
29.742 * [backup-simplify]: Simplify (* 0 PI) into 0
29.742 * [backup-simplify]: Simplify (* 2 0) into 0
29.743 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
29.744 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
29.745 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.745 * [backup-simplify]: Simplify (- k) into (- k)
29.745 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
29.745 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
29.746 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.746 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
29.747 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
29.747 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
29.747 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
29.747 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
29.747 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
29.747 * [taylor]: Taking taylor expansion of 1/4 in n
29.747 * [backup-simplify]: Simplify 1/4 into 1/4
29.747 * [taylor]: Taking taylor expansion of (- 1 k) in n
29.747 * [taylor]: Taking taylor expansion of 1 in n
29.747 * [backup-simplify]: Simplify 1 into 1
29.747 * [taylor]: Taking taylor expansion of k in n
29.747 * [backup-simplify]: Simplify k into k
29.747 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
29.747 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.747 * [taylor]: Taking taylor expansion of 2 in n
29.747 * [backup-simplify]: Simplify 2 into 2
29.747 * [taylor]: Taking taylor expansion of (* n PI) in n
29.747 * [taylor]: Taking taylor expansion of n in n
29.747 * [backup-simplify]: Simplify 0 into 0
29.747 * [backup-simplify]: Simplify 1 into 1
29.747 * [taylor]: Taking taylor expansion of PI in n
29.747 * [backup-simplify]: Simplify PI into PI
29.748 * [backup-simplify]: Simplify (* 0 PI) into 0
29.748 * [backup-simplify]: Simplify (* 2 0) into 0
29.749 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
29.750 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
29.750 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.750 * [backup-simplify]: Simplify (- k) into (- k)
29.750 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
29.751 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
29.751 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.752 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
29.753 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
29.753 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
29.753 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
29.753 * [taylor]: Taking taylor expansion of 1/4 in k
29.753 * [backup-simplify]: Simplify 1/4 into 1/4
29.753 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
29.753 * [taylor]: Taking taylor expansion of (- 1 k) in k
29.753 * [taylor]: Taking taylor expansion of 1 in k
29.753 * [backup-simplify]: Simplify 1 into 1
29.753 * [taylor]: Taking taylor expansion of k in k
29.753 * [backup-simplify]: Simplify 0 into 0
29.753 * [backup-simplify]: Simplify 1 into 1
29.753 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
29.753 * [taylor]: Taking taylor expansion of (log n) in k
29.753 * [taylor]: Taking taylor expansion of n in k
29.753 * [backup-simplify]: Simplify n into n
29.753 * [backup-simplify]: Simplify (log n) into (log n)
29.753 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
29.753 * [taylor]: Taking taylor expansion of (* 2 PI) in k
29.753 * [taylor]: Taking taylor expansion of 2 in k
29.753 * [backup-simplify]: Simplify 2 into 2
29.753 * [taylor]: Taking taylor expansion of PI in k
29.753 * [backup-simplify]: Simplify PI into PI
29.753 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.754 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.754 * [backup-simplify]: Simplify (- 0) into 0
29.754 * [backup-simplify]: Simplify (+ 1 0) into 1
29.755 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.756 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
29.756 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
29.757 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
29.758 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
29.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
29.759 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
29.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
29.761 * [backup-simplify]: Simplify (- 0) into 0
29.762 * [backup-simplify]: Simplify (+ 0 0) into 0
29.762 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
29.763 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.765 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
29.766 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
29.766 * [taylor]: Taking taylor expansion of 0 in k
29.766 * [backup-simplify]: Simplify 0 into 0
29.766 * [backup-simplify]: Simplify 0 into 0
29.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
29.768 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
29.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
29.770 * [backup-simplify]: Simplify (+ 0 0) into 0
29.771 * [backup-simplify]: Simplify (- 1) into -1
29.771 * [backup-simplify]: Simplify (+ 0 -1) into -1
29.772 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
29.773 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
29.775 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
29.777 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
29.778 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
29.778 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
29.780 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
29.780 * [backup-simplify]: Simplify (- 0) into 0
29.781 * [backup-simplify]: Simplify (+ 0 0) into 0
29.781 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
29.782 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.783 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
29.784 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
29.784 * [taylor]: Taking taylor expansion of 0 in k
29.784 * [backup-simplify]: Simplify 0 into 0
29.784 * [backup-simplify]: Simplify 0 into 0
29.784 * [backup-simplify]: Simplify 0 into 0
29.789 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
29.790 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
29.792 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
29.792 * [backup-simplify]: Simplify (+ 0 0) into 0
29.793 * [backup-simplify]: Simplify (- 0) into 0
29.793 * [backup-simplify]: Simplify (+ 0 0) into 0
29.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
29.796 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
29.798 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
29.801 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
29.807 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
29.807 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
29.807 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
29.807 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
29.807 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
29.807 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
29.807 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
29.807 * [taylor]: Taking taylor expansion of 1/4 in k
29.807 * [backup-simplify]: Simplify 1/4 into 1/4
29.807 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
29.807 * [taylor]: Taking taylor expansion of 1 in k
29.807 * [backup-simplify]: Simplify 1 into 1
29.807 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.807 * [taylor]: Taking taylor expansion of k in k
29.807 * [backup-simplify]: Simplify 0 into 0
29.807 * [backup-simplify]: Simplify 1 into 1
29.808 * [backup-simplify]: Simplify (/ 1 1) into 1
29.808 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
29.808 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
29.808 * [taylor]: Taking taylor expansion of 2 in k
29.808 * [backup-simplify]: Simplify 2 into 2
29.808 * [taylor]: Taking taylor expansion of (/ PI n) in k
29.808 * [taylor]: Taking taylor expansion of PI in k
29.808 * [backup-simplify]: Simplify PI into PI
29.808 * [taylor]: Taking taylor expansion of n in k
29.808 * [backup-simplify]: Simplify n into n
29.808 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
29.809 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
29.809 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
29.809 * [backup-simplify]: Simplify (- 1) into -1
29.809 * [backup-simplify]: Simplify (+ 0 -1) into -1
29.810 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
29.810 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
29.810 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
29.810 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
29.810 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
29.810 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
29.810 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
29.810 * [taylor]: Taking taylor expansion of 1/4 in n
29.810 * [backup-simplify]: Simplify 1/4 into 1/4
29.810 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
29.810 * [taylor]: Taking taylor expansion of 1 in n
29.811 * [backup-simplify]: Simplify 1 into 1
29.811 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.811 * [taylor]: Taking taylor expansion of k in n
29.811 * [backup-simplify]: Simplify k into k
29.811 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.811 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
29.811 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.811 * [taylor]: Taking taylor expansion of 2 in n
29.811 * [backup-simplify]: Simplify 2 into 2
29.811 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.811 * [taylor]: Taking taylor expansion of PI in n
29.811 * [backup-simplify]: Simplify PI into PI
29.811 * [taylor]: Taking taylor expansion of n in n
29.811 * [backup-simplify]: Simplify 0 into 0
29.811 * [backup-simplify]: Simplify 1 into 1
29.811 * [backup-simplify]: Simplify (/ PI 1) into PI
29.812 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.813 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.813 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
29.813 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
29.813 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
29.814 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.815 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
29.816 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
29.816 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
29.816 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
29.816 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
29.816 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
29.816 * [taylor]: Taking taylor expansion of 1/4 in n
29.816 * [backup-simplify]: Simplify 1/4 into 1/4
29.816 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
29.816 * [taylor]: Taking taylor expansion of 1 in n
29.816 * [backup-simplify]: Simplify 1 into 1
29.816 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.816 * [taylor]: Taking taylor expansion of k in n
29.816 * [backup-simplify]: Simplify k into k
29.816 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.816 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
29.816 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.816 * [taylor]: Taking taylor expansion of 2 in n
29.816 * [backup-simplify]: Simplify 2 into 2
29.816 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.816 * [taylor]: Taking taylor expansion of PI in n
29.816 * [backup-simplify]: Simplify PI into PI
29.816 * [taylor]: Taking taylor expansion of n in n
29.816 * [backup-simplify]: Simplify 0 into 0
29.816 * [backup-simplify]: Simplify 1 into 1
29.817 * [backup-simplify]: Simplify (/ PI 1) into PI
29.817 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.818 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.818 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
29.818 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
29.818 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
29.819 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.819 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
29.820 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
29.820 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
29.820 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
29.820 * [taylor]: Taking taylor expansion of 1/4 in k
29.820 * [backup-simplify]: Simplify 1/4 into 1/4
29.820 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
29.820 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
29.820 * [taylor]: Taking taylor expansion of 1 in k
29.820 * [backup-simplify]: Simplify 1 into 1
29.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.820 * [taylor]: Taking taylor expansion of k in k
29.820 * [backup-simplify]: Simplify 0 into 0
29.820 * [backup-simplify]: Simplify 1 into 1
29.821 * [backup-simplify]: Simplify (/ 1 1) into 1
29.821 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
29.821 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
29.821 * [taylor]: Taking taylor expansion of (* 2 PI) in k
29.821 * [taylor]: Taking taylor expansion of 2 in k
29.821 * [backup-simplify]: Simplify 2 into 2
29.821 * [taylor]: Taking taylor expansion of PI in k
29.821 * [backup-simplify]: Simplify PI into PI
29.821 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.822 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.822 * [taylor]: Taking taylor expansion of (log n) in k
29.822 * [taylor]: Taking taylor expansion of n in k
29.822 * [backup-simplify]: Simplify n into n
29.822 * [backup-simplify]: Simplify (log n) into (log n)
29.822 * [backup-simplify]: Simplify (- 1) into -1
29.822 * [backup-simplify]: Simplify (+ 0 -1) into -1
29.822 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
29.823 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
29.823 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
29.824 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
29.825 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
29.825 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
29.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.826 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
29.827 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
29.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
29.828 * [backup-simplify]: Simplify (- 0) into 0
29.828 * [backup-simplify]: Simplify (+ 0 0) into 0
29.828 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
29.829 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.830 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
29.831 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
29.831 * [taylor]: Taking taylor expansion of 0 in k
29.831 * [backup-simplify]: Simplify 0 into 0
29.831 * [backup-simplify]: Simplify 0 into 0
29.831 * [backup-simplify]: Simplify 0 into 0
29.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
29.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
29.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.835 * [backup-simplify]: Simplify (- 0) into 0
29.835 * [backup-simplify]: Simplify (+ 0 0) into 0
29.835 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
29.836 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.837 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
29.839 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
29.839 * [taylor]: Taking taylor expansion of 0 in k
29.839 * [backup-simplify]: Simplify 0 into 0
29.839 * [backup-simplify]: Simplify 0 into 0
29.839 * [backup-simplify]: Simplify 0 into 0
29.839 * [backup-simplify]: Simplify 0 into 0
29.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.840 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.843 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
29.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.844 * [backup-simplify]: Simplify (- 0) into 0
29.844 * [backup-simplify]: Simplify (+ 0 0) into 0
29.846 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
29.847 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.849 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
29.852 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
29.852 * [taylor]: Taking taylor expansion of 0 in k
29.852 * [backup-simplify]: Simplify 0 into 0
29.852 * [backup-simplify]: Simplify 0 into 0
29.853 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
29.854 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
29.854 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
29.854 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
29.854 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
29.854 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
29.854 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
29.854 * [taylor]: Taking taylor expansion of 1/4 in k
29.854 * [backup-simplify]: Simplify 1/4 into 1/4
29.854 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
29.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.854 * [taylor]: Taking taylor expansion of k in k
29.854 * [backup-simplify]: Simplify 0 into 0
29.854 * [backup-simplify]: Simplify 1 into 1
29.854 * [backup-simplify]: Simplify (/ 1 1) into 1
29.854 * [taylor]: Taking taylor expansion of 1 in k
29.854 * [backup-simplify]: Simplify 1 into 1
29.854 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
29.854 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
29.854 * [taylor]: Taking taylor expansion of -2 in k
29.855 * [backup-simplify]: Simplify -2 into -2
29.855 * [taylor]: Taking taylor expansion of (/ PI n) in k
29.855 * [taylor]: Taking taylor expansion of PI in k
29.855 * [backup-simplify]: Simplify PI into PI
29.855 * [taylor]: Taking taylor expansion of n in k
29.855 * [backup-simplify]: Simplify n into n
29.855 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
29.855 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
29.855 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
29.855 * [backup-simplify]: Simplify (+ 1 0) into 1
29.856 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
29.856 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
29.856 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
29.856 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
29.856 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
29.856 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
29.856 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
29.856 * [taylor]: Taking taylor expansion of 1/4 in n
29.856 * [backup-simplify]: Simplify 1/4 into 1/4
29.856 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
29.856 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.856 * [taylor]: Taking taylor expansion of k in n
29.856 * [backup-simplify]: Simplify k into k
29.856 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.856 * [taylor]: Taking taylor expansion of 1 in n
29.856 * [backup-simplify]: Simplify 1 into 1
29.856 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
29.856 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.856 * [taylor]: Taking taylor expansion of -2 in n
29.856 * [backup-simplify]: Simplify -2 into -2
29.856 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.857 * [taylor]: Taking taylor expansion of PI in n
29.857 * [backup-simplify]: Simplify PI into PI
29.857 * [taylor]: Taking taylor expansion of n in n
29.857 * [backup-simplify]: Simplify 0 into 0
29.857 * [backup-simplify]: Simplify 1 into 1
29.857 * [backup-simplify]: Simplify (/ PI 1) into PI
29.857 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.858 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
29.859 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
29.859 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
29.860 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.861 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
29.862 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
29.862 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
29.862 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
29.862 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
29.862 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
29.862 * [taylor]: Taking taylor expansion of 1/4 in n
29.862 * [backup-simplify]: Simplify 1/4 into 1/4
29.862 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
29.862 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.862 * [taylor]: Taking taylor expansion of k in n
29.862 * [backup-simplify]: Simplify k into k
29.862 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.862 * [taylor]: Taking taylor expansion of 1 in n
29.862 * [backup-simplify]: Simplify 1 into 1
29.862 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
29.863 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.863 * [taylor]: Taking taylor expansion of -2 in n
29.863 * [backup-simplify]: Simplify -2 into -2
29.863 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.863 * [taylor]: Taking taylor expansion of PI in n
29.863 * [backup-simplify]: Simplify PI into PI
29.863 * [taylor]: Taking taylor expansion of n in n
29.863 * [backup-simplify]: Simplify 0 into 0
29.863 * [backup-simplify]: Simplify 1 into 1
29.863 * [backup-simplify]: Simplify (/ PI 1) into PI
29.864 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.865 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
29.865 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
29.865 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
29.866 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.868 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
29.869 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
29.869 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
29.869 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
29.869 * [taylor]: Taking taylor expansion of 1/4 in k
29.869 * [backup-simplify]: Simplify 1/4 into 1/4
29.869 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
29.869 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
29.869 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.869 * [taylor]: Taking taylor expansion of k in k
29.869 * [backup-simplify]: Simplify 0 into 0
29.869 * [backup-simplify]: Simplify 1 into 1
29.870 * [backup-simplify]: Simplify (/ 1 1) into 1
29.870 * [taylor]: Taking taylor expansion of 1 in k
29.870 * [backup-simplify]: Simplify 1 into 1
29.870 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
29.870 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
29.870 * [taylor]: Taking taylor expansion of (* -2 PI) in k
29.870 * [taylor]: Taking taylor expansion of -2 in k
29.870 * [backup-simplify]: Simplify -2 into -2
29.870 * [taylor]: Taking taylor expansion of PI in k
29.870 * [backup-simplify]: Simplify PI into PI
29.870 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.871 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
29.871 * [taylor]: Taking taylor expansion of (log n) in k
29.871 * [taylor]: Taking taylor expansion of n in k
29.871 * [backup-simplify]: Simplify n into n
29.871 * [backup-simplify]: Simplify (log n) into (log n)
29.872 * [backup-simplify]: Simplify (+ 1 0) into 1
29.872 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
29.873 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
29.874 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
29.875 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
29.876 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
29.876 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
29.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.877 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
29.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
29.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
29.879 * [backup-simplify]: Simplify (+ 0 0) into 0
29.879 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
29.880 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.881 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
29.882 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
29.882 * [taylor]: Taking taylor expansion of 0 in k
29.882 * [backup-simplify]: Simplify 0 into 0
29.882 * [backup-simplify]: Simplify 0 into 0
29.882 * [backup-simplify]: Simplify 0 into 0
29.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.884 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
29.885 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
29.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.886 * [backup-simplify]: Simplify (+ 0 0) into 0
29.886 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
29.887 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.888 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
29.889 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
29.889 * [taylor]: Taking taylor expansion of 0 in k
29.889 * [backup-simplify]: Simplify 0 into 0
29.890 * [backup-simplify]: Simplify 0 into 0
29.890 * [backup-simplify]: Simplify 0 into 0
29.890 * [backup-simplify]: Simplify 0 into 0
29.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.895 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.899 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
29.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.899 * [backup-simplify]: Simplify (+ 0 0) into 0
29.900 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
29.901 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.902 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
29.904 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
29.904 * [taylor]: Taking taylor expansion of 0 in k
29.904 * [backup-simplify]: Simplify 0 into 0
29.904 * [backup-simplify]: Simplify 0 into 0
29.905 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
29.905 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
29.905 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
29.906 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
29.906 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.906 * [taylor]: Taking taylor expansion of 2 in n
29.906 * [backup-simplify]: Simplify 2 into 2
29.906 * [taylor]: Taking taylor expansion of (* n PI) in n
29.906 * [taylor]: Taking taylor expansion of n in n
29.906 * [backup-simplify]: Simplify 0 into 0
29.906 * [backup-simplify]: Simplify 1 into 1
29.906 * [taylor]: Taking taylor expansion of PI in n
29.906 * [backup-simplify]: Simplify PI into PI
29.906 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.906 * [taylor]: Taking taylor expansion of 2 in n
29.906 * [backup-simplify]: Simplify 2 into 2
29.906 * [taylor]: Taking taylor expansion of (* n PI) in n
29.906 * [taylor]: Taking taylor expansion of n in n
29.906 * [backup-simplify]: Simplify 0 into 0
29.906 * [backup-simplify]: Simplify 1 into 1
29.906 * [taylor]: Taking taylor expansion of PI in n
29.906 * [backup-simplify]: Simplify PI into PI
29.906 * [backup-simplify]: Simplify (* 0 PI) into 0
29.907 * [backup-simplify]: Simplify (* 2 0) into 0
29.907 * [backup-simplify]: Simplify 0 into 0
29.908 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
29.910 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
29.910 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
29.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
29.913 * [backup-simplify]: Simplify 0 into 0
29.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
29.915 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
29.915 * [backup-simplify]: Simplify 0 into 0
29.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.918 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
29.918 * [backup-simplify]: Simplify 0 into 0
29.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
29.921 * [backup-simplify]: Simplify 0 into 0
29.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.923 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
29.923 * [backup-simplify]: Simplify 0 into 0
29.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
29.925 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
29.925 * [backup-simplify]: Simplify 0 into 0
29.925 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
29.925 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
29.925 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
29.925 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.925 * [taylor]: Taking taylor expansion of 2 in n
29.925 * [backup-simplify]: Simplify 2 into 2
29.925 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.926 * [taylor]: Taking taylor expansion of PI in n
29.926 * [backup-simplify]: Simplify PI into PI
29.926 * [taylor]: Taking taylor expansion of n in n
29.926 * [backup-simplify]: Simplify 0 into 0
29.926 * [backup-simplify]: Simplify 1 into 1
29.926 * [backup-simplify]: Simplify (/ PI 1) into PI
29.926 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.926 * [taylor]: Taking taylor expansion of 2 in n
29.926 * [backup-simplify]: Simplify 2 into 2
29.926 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.926 * [taylor]: Taking taylor expansion of PI in n
29.926 * [backup-simplify]: Simplify PI into PI
29.926 * [taylor]: Taking taylor expansion of n in n
29.926 * [backup-simplify]: Simplify 0 into 0
29.926 * [backup-simplify]: Simplify 1 into 1
29.926 * [backup-simplify]: Simplify (/ PI 1) into PI
29.927 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.927 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.928 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
29.928 * [backup-simplify]: Simplify 0 into 0
29.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.929 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
29.929 * [backup-simplify]: Simplify 0 into 0
29.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.930 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.930 * [backup-simplify]: Simplify 0 into 0
29.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.932 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.932 * [backup-simplify]: Simplify 0 into 0
29.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.933 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.933 * [backup-simplify]: Simplify 0 into 0
29.934 * [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
29.935 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.935 * [backup-simplify]: Simplify 0 into 0
29.935 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
29.936 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
29.936 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
29.936 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.936 * [taylor]: Taking taylor expansion of -2 in n
29.936 * [backup-simplify]: Simplify -2 into -2
29.936 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.936 * [taylor]: Taking taylor expansion of PI in n
29.936 * [backup-simplify]: Simplify PI into PI
29.936 * [taylor]: Taking taylor expansion of n in n
29.936 * [backup-simplify]: Simplify 0 into 0
29.936 * [backup-simplify]: Simplify 1 into 1
29.936 * [backup-simplify]: Simplify (/ PI 1) into PI
29.936 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.936 * [taylor]: Taking taylor expansion of -2 in n
29.936 * [backup-simplify]: Simplify -2 into -2
29.936 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.936 * [taylor]: Taking taylor expansion of PI in n
29.936 * [backup-simplify]: Simplify PI into PI
29.936 * [taylor]: Taking taylor expansion of n in n
29.936 * [backup-simplify]: Simplify 0 into 0
29.936 * [backup-simplify]: Simplify 1 into 1
29.936 * [backup-simplify]: Simplify (/ PI 1) into PI
29.937 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.937 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.938 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
29.938 * [backup-simplify]: Simplify 0 into 0
29.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.939 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
29.939 * [backup-simplify]: Simplify 0 into 0
29.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.941 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.941 * [backup-simplify]: Simplify 0 into 0
29.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.942 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.942 * [backup-simplify]: Simplify 0 into 0
29.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.943 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.943 * [backup-simplify]: Simplify 0 into 0
29.944 * [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
29.945 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.945 * [backup-simplify]: Simplify 0 into 0
29.945 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
29.945 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
29.946 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
29.946 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
29.946 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.946 * [taylor]: Taking taylor expansion of 2 in n
29.946 * [backup-simplify]: Simplify 2 into 2
29.946 * [taylor]: Taking taylor expansion of (* n PI) in n
29.946 * [taylor]: Taking taylor expansion of n in n
29.946 * [backup-simplify]: Simplify 0 into 0
29.946 * [backup-simplify]: Simplify 1 into 1
29.946 * [taylor]: Taking taylor expansion of PI in n
29.946 * [backup-simplify]: Simplify PI into PI
29.946 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.946 * [taylor]: Taking taylor expansion of 2 in n
29.946 * [backup-simplify]: Simplify 2 into 2
29.946 * [taylor]: Taking taylor expansion of (* n PI) in n
29.946 * [taylor]: Taking taylor expansion of n in n
29.946 * [backup-simplify]: Simplify 0 into 0
29.946 * [backup-simplify]: Simplify 1 into 1
29.946 * [taylor]: Taking taylor expansion of PI in n
29.946 * [backup-simplify]: Simplify PI into PI
29.946 * [backup-simplify]: Simplify (* 0 PI) into 0
29.947 * [backup-simplify]: Simplify (* 2 0) into 0
29.947 * [backup-simplify]: Simplify 0 into 0
29.948 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
29.949 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
29.950 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.951 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
29.952 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
29.952 * [backup-simplify]: Simplify 0 into 0
29.953 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
29.954 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
29.954 * [backup-simplify]: Simplify 0 into 0
29.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.957 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
29.957 * [backup-simplify]: Simplify 0 into 0
29.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
29.960 * [backup-simplify]: Simplify 0 into 0
29.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.963 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
29.963 * [backup-simplify]: Simplify 0 into 0
29.965 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
29.967 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
29.967 * [backup-simplify]: Simplify 0 into 0
29.967 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
29.968 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
29.968 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
29.968 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.968 * [taylor]: Taking taylor expansion of 2 in n
29.968 * [backup-simplify]: Simplify 2 into 2
29.968 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.968 * [taylor]: Taking taylor expansion of PI in n
29.968 * [backup-simplify]: Simplify PI into PI
29.968 * [taylor]: Taking taylor expansion of n in n
29.968 * [backup-simplify]: Simplify 0 into 0
29.968 * [backup-simplify]: Simplify 1 into 1
29.969 * [backup-simplify]: Simplify (/ PI 1) into PI
29.969 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.969 * [taylor]: Taking taylor expansion of 2 in n
29.969 * [backup-simplify]: Simplify 2 into 2
29.969 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.969 * [taylor]: Taking taylor expansion of PI in n
29.969 * [backup-simplify]: Simplify PI into PI
29.969 * [taylor]: Taking taylor expansion of n in n
29.969 * [backup-simplify]: Simplify 0 into 0
29.969 * [backup-simplify]: Simplify 1 into 1
29.969 * [backup-simplify]: Simplify (/ PI 1) into PI
29.970 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.970 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.972 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
29.972 * [backup-simplify]: Simplify 0 into 0
29.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.974 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
29.974 * [backup-simplify]: Simplify 0 into 0
29.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.976 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.976 * [backup-simplify]: Simplify 0 into 0
29.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.978 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.979 * [backup-simplify]: Simplify 0 into 0
29.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.981 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.981 * [backup-simplify]: Simplify 0 into 0
29.983 * [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
29.984 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.984 * [backup-simplify]: Simplify 0 into 0
29.985 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
29.985 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
29.985 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
29.985 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.985 * [taylor]: Taking taylor expansion of -2 in n
29.985 * [backup-simplify]: Simplify -2 into -2
29.985 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.985 * [taylor]: Taking taylor expansion of PI in n
29.985 * [backup-simplify]: Simplify PI into PI
29.985 * [taylor]: Taking taylor expansion of n in n
29.986 * [backup-simplify]: Simplify 0 into 0
29.986 * [backup-simplify]: Simplify 1 into 1
29.986 * [backup-simplify]: Simplify (/ PI 1) into PI
29.986 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.986 * [taylor]: Taking taylor expansion of -2 in n
29.986 * [backup-simplify]: Simplify -2 into -2
29.986 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.986 * [taylor]: Taking taylor expansion of PI in n
29.986 * [backup-simplify]: Simplify PI into PI
29.986 * [taylor]: Taking taylor expansion of n in n
29.986 * [backup-simplify]: Simplify 0 into 0
29.986 * [backup-simplify]: Simplify 1 into 1
29.987 * [backup-simplify]: Simplify (/ PI 1) into PI
29.987 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.988 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.989 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
29.989 * [backup-simplify]: Simplify 0 into 0
29.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.991 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
29.992 * [backup-simplify]: Simplify 0 into 0
29.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.994 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.994 * [backup-simplify]: Simplify 0 into 0
29.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.996 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.996 * [backup-simplify]: Simplify 0 into 0
29.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.999 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.999 * [backup-simplify]: Simplify 0 into 0
30.000 * [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
30.002 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
30.002 * [backup-simplify]: Simplify 0 into 0
30.002 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
30.002 * * * [progress]: simplifying candidates
30.002 * * * * [progress]: [ 1 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
30.003 * * * * [progress]: [ 2 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
30.003 * * * * [progress]: [ 3 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
30.003 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
30.003 * * [simplify]: iters left: 6 (14 enodes)
30.013 * * [simplify]: iters left: 5 (60 enodes)
30.040 * * [simplify]: iters left: 4 (108 enodes)
30.064 * * [simplify]: iters left: 3 (255 enodes)
30.173 * * [simplify]: Extracting #0: cost 1 inf + 0
30.173 * * [simplify]: Extracting #1: cost 34 inf + 0
30.173 * * [simplify]: Extracting #2: cost 122 inf + 73
30.175 * * [simplify]: Extracting #3: cost 134 inf + 2876
30.181 * * [simplify]: Extracting #4: cost 49 inf + 20493
30.193 * * [simplify]: Extracting #5: cost 4 inf + 30853
30.207 * * [simplify]: Extracting #6: cost 0 inf + 31808
30.220 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))
30.220 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))) (sqrt k))))
30.220 * * * * [progress]: [ 4 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
30.220 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
30.221 * * [simplify]: iters left: 6 (13 enodes)
30.225 * * [simplify]: iters left: 5 (58 enodes)
30.236 * * [simplify]: iters left: 4 (101 enodes)
30.262 * * [simplify]: iters left: 3 (211 enodes)
30.329 * * [simplify]: Extracting #0: cost 1 inf + 0
30.329 * * [simplify]: Extracting #1: cost 28 inf + 0
30.330 * * [simplify]: Extracting #2: cost 110 inf + 73
30.330 * * [simplify]: Extracting #3: cost 127 inf + 1744
30.332 * * [simplify]: Extracting #4: cost 73 inf + 10230
30.339 * * [simplify]: Extracting #5: cost 26 inf + 20266
30.344 * * [simplify]: Extracting #6: cost 6 inf + 24692
30.349 * * [simplify]: Extracting #7: cost 0 inf + 26084
30.358 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))
30.358 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (sqrt k))))
30.359 * * * * [progress]: [ 5 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
30.359 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
30.359 * * [simplify]: iters left: 6 (12 enodes)
30.367 * * [simplify]: iters left: 5 (57 enodes)
30.388 * * [simplify]: iters left: 4 (111 enodes)
30.426 * * [simplify]: iters left: 3 (214 enodes)
30.518 * * [simplify]: iters left: 2 (472 enodes)
30.717 * * [simplify]: Extracting #0: cost 1 inf + 0
30.717 * * [simplify]: Extracting #1: cost 40 inf + 0
30.718 * * [simplify]: Extracting #2: cost 158 inf + 4
30.719 * * [simplify]: Extracting #3: cost 193 inf + 1443
30.723 * * [simplify]: Extracting #4: cost 88 inf + 19136
30.738 * * [simplify]: Extracting #5: cost 7 inf + 36795
30.757 * * [simplify]: Extracting #6: cost 0 inf + 38243
30.770 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
30.770 * [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))))
30.770 * * * * [progress]: [ 6 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
30.771 * * * * [progress]: [ 7 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
30.771 * [simplify]: Simplifying (* n (* 2 PI))
30.771 * * [simplify]: iters left: 4 (5 enodes)
30.773 * * [simplify]: iters left: 3 (19 enodes)
30.776 * * [simplify]: iters left: 2 (27 enodes)
30.781 * * [simplify]: iters left: 1 (32 enodes)
30.786 * * [simplify]: Extracting #0: cost 1 inf + 0
30.786 * * [simplify]: Extracting #1: cost 8 inf + 0
30.786 * * [simplify]: Extracting #2: cost 7 inf + 45
30.786 * * [simplify]: Extracting #3: cost 0 inf + 421
30.789 * [simplify]: Simplified to (* (* PI 2) n)
30.789 * [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))))
30.789 * * * * [progress]: [ 8 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
30.790 * [simplify]: Simplifying (* n (* 2 PI))
30.790 * * [simplify]: iters left: 4 (5 enodes)
30.791 * * [simplify]: iters left: 3 (19 enodes)
30.795 * * [simplify]: iters left: 2 (27 enodes)
30.799 * * [simplify]: iters left: 1 (32 enodes)
30.804 * * [simplify]: Extracting #0: cost 1 inf + 0
30.804 * * [simplify]: Extracting #1: cost 8 inf + 0
30.804 * * [simplify]: Extracting #2: cost 7 inf + 45
30.805 * * [simplify]: Extracting #3: cost 0 inf + 421
30.805 * [simplify]: Simplified to (* (* PI 2) n)
30.805 * [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))))
30.805 * * * * [progress]: [ 9 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
30.805 * [simplify]: Simplifying (* n (* 2 PI))
30.806 * * [simplify]: iters left: 4 (5 enodes)
30.809 * * [simplify]: iters left: 3 (19 enodes)
30.816 * * [simplify]: iters left: 2 (27 enodes)
30.824 * * [simplify]: iters left: 1 (32 enodes)
30.832 * * [simplify]: Extracting #0: cost 1 inf + 0
30.832 * * [simplify]: Extracting #1: cost 8 inf + 0
30.832 * * [simplify]: Extracting #2: cost 7 inf + 45
30.833 * * [simplify]: Extracting #3: cost 0 inf + 421
30.833 * [simplify]: Simplified to (* (* PI 2) n)
30.833 * [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))))
30.833 * * * * [progress]: [ 10 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (sqrt k))))>
30.833 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
30.833 * * [simplify]: iters left: 5 (9 enodes)
30.836 * * [simplify]: iters left: 4 (37 enodes)
30.842 * * [simplify]: iters left: 3 (57 enodes)
30.853 * * [simplify]: iters left: 2 (93 enodes)
30.870 * * [simplify]: iters left: 1 (170 enodes)
30.922 * * [simplify]: Extracting #0: cost 1 inf + 0
30.923 * * [simplify]: Extracting #1: cost 13 inf + 0
30.923 * * [simplify]: Extracting #2: cost 59 inf + 1
30.923 * * [simplify]: Extracting #3: cost 78 inf + 176
30.924 * * [simplify]: Extracting #4: cost 40 inf + 3875
30.926 * * [simplify]: Extracting #5: cost 7 inf + 16988
30.929 * * [simplify]: Extracting #6: cost 0 inf + 20577
30.932 * * [simplify]: Extracting #7: cost 0 inf + 20336
30.935 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
30.935 * [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))))
30.935 * * * * [progress]: [ 11 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
30.935 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
30.935 * * [simplify]: iters left: 6 (7 enodes)
30.938 * * [simplify]: iters left: 5 (32 enodes)
30.946 * * [simplify]: iters left: 4 (47 enodes)
30.961 * * [simplify]: iters left: 3 (53 enodes)
30.978 * * [simplify]: iters left: 2 (60 enodes)
30.996 * * [simplify]: Extracting #0: cost 1 inf + 0
30.996 * * [simplify]: Extracting #1: cost 3 inf + 0
30.996 * * [simplify]: Extracting #2: cost 11 inf + 0
30.996 * * [simplify]: Extracting #3: cost 17 inf + 3
30.996 * * [simplify]: Extracting #4: cost 14 inf + 129
30.996 * * [simplify]: Extracting #5: cost 3 inf + 794
30.997 * * [simplify]: Extracting #6: cost 0 inf + 1162
30.997 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
30.997 * [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))))
30.997 * * * * [progress]: [ 12 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
30.997 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
30.997 * * [simplify]: iters left: 6 (7 enodes)
31.000 * * [simplify]: iters left: 5 (32 enodes)
31.009 * * [simplify]: iters left: 4 (47 enodes)
31.018 * * [simplify]: iters left: 3 (53 enodes)
31.027 * * [simplify]: iters left: 2 (60 enodes)
31.045 * * [simplify]: Extracting #0: cost 1 inf + 0
31.046 * * [simplify]: Extracting #1: cost 3 inf + 0
31.046 * * [simplify]: Extracting #2: cost 11 inf + 0
31.046 * * [simplify]: Extracting #3: cost 17 inf + 3
31.046 * * [simplify]: Extracting #4: cost 14 inf + 129
31.046 * * [simplify]: Extracting #5: cost 3 inf + 794
31.047 * * [simplify]: Extracting #6: cost 0 inf + 1082
31.047 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
31.048 * [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))))
31.048 * * * * [progress]: [ 13 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k))))>
31.048 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
31.048 * * [simplify]: iters left: 6 (8 enodes)
31.054 * * [simplify]: iters left: 5 (32 enodes)
31.066 * * [simplify]: iters left: 4 (41 enodes)
31.074 * * [simplify]: Extracting #0: cost 1 inf + 0
31.074 * * [simplify]: Extracting #1: cost 4 inf + 0
31.074 * * [simplify]: Extracting #2: cost 8 inf + 0
31.074 * * [simplify]: Extracting #3: cost 9 inf + 163
31.074 * * [simplify]: Extracting #4: cost 13 inf + 164
31.074 * * [simplify]: Extracting #5: cost 10 inf + 249
31.075 * * [simplify]: Extracting #6: cost 3 inf + 986
31.075 * * [simplify]: Extracting #7: cost 0 inf + 1474
31.075 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
31.075 * [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))))
31.075 * * * * [progress]: [ 14 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k))))>
31.075 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
31.075 * * [simplify]: iters left: 6 (8 enodes)
31.079 * * [simplify]: iters left: 5 (32 enodes)
31.085 * * [simplify]: iters left: 4 (41 enodes)
31.097 * * [simplify]: Extracting #0: cost 1 inf + 0
31.097 * * [simplify]: Extracting #1: cost 4 inf + 0
31.097 * * [simplify]: Extracting #2: cost 8 inf + 0
31.097 * * [simplify]: Extracting #3: cost 9 inf + 83
31.097 * * [simplify]: Extracting #4: cost 13 inf + 84
31.097 * * [simplify]: Extracting #5: cost 10 inf + 169
31.098 * * [simplify]: Extracting #6: cost 3 inf + 866
31.098 * * [simplify]: Extracting #7: cost 0 inf + 1314
31.099 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
31.099 * [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))))
31.099 * * * * [progress]: [ 15 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (sqrt k))))>
31.099 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
31.099 * * [simplify]: iters left: 6 (7 enodes)
31.104 * * [simplify]: iters left: 5 (29 enodes)
31.115 * * [simplify]: iters left: 4 (38 enodes)
31.128 * * [simplify]: Extracting #0: cost 1 inf + 0
31.128 * * [simplify]: Extracting #1: cost 4 inf + 0
31.128 * * [simplify]: Extracting #2: cost 5 inf + 1
31.128 * * [simplify]: Extracting #3: cost 9 inf + 1
31.128 * * [simplify]: Extracting #4: cost 13 inf + 2
31.128 * * [simplify]: Extracting #5: cost 12 inf + 4
31.128 * * [simplify]: Extracting #6: cost 2 inf + 746
31.129 * * [simplify]: Extracting #7: cost 0 inf + 1152
31.129 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
31.129 * [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))))
31.129 * * * * [progress]: [ 16 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k))))>
31.130 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
31.130 * * [simplify]: iters left: 6 (8 enodes)
31.135 * * [simplify]: iters left: 5 (32 enodes)
31.149 * * [simplify]: iters left: 4 (41 enodes)
31.162 * * [simplify]: Extracting #0: cost 1 inf + 0
31.162 * * [simplify]: Extracting #1: cost 4 inf + 0
31.162 * * [simplify]: Extracting #2: cost 8 inf + 0
31.162 * * [simplify]: Extracting #3: cost 9 inf + 163
31.162 * * [simplify]: Extracting #4: cost 13 inf + 164
31.162 * * [simplify]: Extracting #5: cost 10 inf + 249
31.162 * * [simplify]: Extracting #6: cost 3 inf + 906
31.163 * * [simplify]: Extracting #7: cost 0 inf + 1314
31.163 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
31.163 * [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))))
31.164 * * * * [progress]: [ 17 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k))))>
31.164 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
31.164 * * [simplify]: iters left: 6 (8 enodes)
31.169 * * [simplify]: iters left: 5 (32 enodes)
31.181 * * [simplify]: iters left: 4 (41 enodes)
31.193 * * [simplify]: Extracting #0: cost 1 inf + 0
31.194 * * [simplify]: Extracting #1: cost 4 inf + 0
31.194 * * [simplify]: Extracting #2: cost 8 inf + 0
31.194 * * [simplify]: Extracting #3: cost 9 inf + 83
31.194 * * [simplify]: Extracting #4: cost 13 inf + 84
31.194 * * [simplify]: Extracting #5: cost 10 inf + 169
31.194 * * [simplify]: Extracting #6: cost 3 inf + 786
31.194 * * [simplify]: Extracting #7: cost 0 inf + 1154
31.194 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
31.194 * [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 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k))))
31.195 * * * * [progress]: [ 18 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (sqrt k))))>
31.195 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
31.195 * * [simplify]: iters left: 6 (7 enodes)
31.198 * * [simplify]: iters left: 5 (29 enodes)
31.204 * * [simplify]: iters left: 4 (38 enodes)
31.210 * * [simplify]: Extracting #0: cost 1 inf + 0
31.210 * * [simplify]: Extracting #1: cost 4 inf + 0
31.210 * * [simplify]: Extracting #2: cost 5 inf + 1
31.210 * * [simplify]: Extracting #3: cost 9 inf + 1
31.210 * * [simplify]: Extracting #4: cost 13 inf + 2
31.210 * * [simplify]: Extracting #5: cost 12 inf + 4
31.210 * * [simplify]: Extracting #6: cost 2 inf + 666
31.211 * * [simplify]: Extracting #7: cost 0 inf + 992
31.211 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
31.211 * [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))))
31.211 * * * * [progress]: [ 19 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))) (sqrt k))))>
31.211 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
31.211 * * [simplify]: iters left: 6 (8 enodes)
31.214 * * [simplify]: iters left: 5 (30 enodes)
31.220 * * [simplify]: iters left: 4 (37 enodes)
31.227 * * [simplify]: Extracting #0: cost 1 inf + 0
31.227 * * [simplify]: Extracting #1: cost 6 inf + 0
31.227 * * [simplify]: Extracting #2: cost 12 inf + 0
31.227 * * [simplify]: Extracting #3: cost 11 inf + 405
31.227 * * [simplify]: Extracting #4: cost 10 inf + 407
31.227 * * [simplify]: Extracting #5: cost 4 inf + 1220
31.228 * * [simplify]: Extracting #6: cost 0 inf + 1869
31.229 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
31.229 * [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))))
31.229 * * * * [progress]: [ 20 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
31.229 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
31.229 * * [simplify]: iters left: 6 (9 enodes)
31.235 * * [simplify]: iters left: 5 (33 enodes)
31.244 * * [simplify]: iters left: 4 (43 enodes)
31.251 * * [simplify]: iters left: 3 (45 enodes)
31.259 * * [simplify]: Extracting #0: cost 1 inf + 0
31.259 * * [simplify]: Extracting #1: cost 8 inf + 0
31.259 * * [simplify]: Extracting #2: cost 16 inf + 0
31.259 * * [simplify]: Extracting #3: cost 16 inf + 284
31.259 * * [simplify]: Extracting #4: cost 11 inf + 610
31.259 * * [simplify]: Extracting #5: cost 8 inf + 815
31.260 * * [simplify]: Extracting #6: cost 0 inf + 2517
31.260 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
31.260 * [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))))
31.260 * * * * [progress]: [ 21 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) (sqrt k))))>
31.260 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
31.260 * * [simplify]: iters left: 6 (8 enodes)
31.265 * * [simplify]: iters left: 5 (30 enodes)
31.271 * * [simplify]: iters left: 4 (40 enodes)
31.280 * * [simplify]: iters left: 3 (42 enodes)
31.293 * * [simplify]: Extracting #0: cost 1 inf + 0
31.293 * * [simplify]: Extracting #1: cost 8 inf + 0
31.293 * * [simplify]: Extracting #2: cost 12 inf + 82
31.293 * * [simplify]: Extracting #3: cost 13 inf + 405
31.293 * * [simplify]: Extracting #4: cost 12 inf + 407
31.294 * * [simplify]: Extracting #5: cost 5 inf + 1383
31.294 * * [simplify]: Extracting #6: cost 0 inf + 2195
31.295 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
31.295 * [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))))
31.295 * * * * [progress]: [ 22 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
31.296 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
31.296 * * [simplify]: iters left: 6 (9 enodes)
31.301 * * [simplify]: iters left: 5 (33 enodes)
31.313 * * [simplify]: iters left: 4 (43 enodes)
31.327 * * [simplify]: iters left: 3 (45 enodes)
31.337 * * [simplify]: Extracting #0: cost 1 inf + 0
31.337 * * [simplify]: Extracting #1: cost 8 inf + 0
31.337 * * [simplify]: Extracting #2: cost 16 inf + 0
31.337 * * [simplify]: Extracting #3: cost 16 inf + 284
31.338 * * [simplify]: Extracting #4: cost 11 inf + 610
31.338 * * [simplify]: Extracting #5: cost 8 inf + 815
31.338 * * [simplify]: Extracting #6: cost 0 inf + 2517
31.338 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
31.338 * [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))))
31.339 * * * * [progress]: [ 23 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
31.339 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
31.339 * * [simplify]: iters left: 6 (8 enodes)
31.342 * * [simplify]: iters left: 5 (30 enodes)
31.347 * * [simplify]: iters left: 4 (35 enodes)
31.353 * * [simplify]: Extracting #0: cost 1 inf + 0
31.353 * * [simplify]: Extracting #1: cost 6 inf + 0
31.353 * * [simplify]: Extracting #2: cost 8 inf + 42
31.354 * * [simplify]: Extracting #3: cost 11 inf + 83
31.354 * * [simplify]: Extracting #4: cost 10 inf + 85
31.354 * * [simplify]: Extracting #5: cost 4 inf + 658
31.354 * * [simplify]: Extracting #6: cost 0 inf + 1227
31.354 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
31.354 * [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))))
31.354 * * * * [progress]: [ 24 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) (sqrt k))))>
31.355 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
31.355 * * [simplify]: iters left: 6 (8 enodes)
31.357 * * [simplify]: iters left: 5 (30 enodes)
31.363 * * [simplify]: iters left: 4 (40 enodes)
31.371 * * [simplify]: iters left: 3 (42 enodes)
31.384 * * [simplify]: Extracting #0: cost 1 inf + 0
31.384 * * [simplify]: Extracting #1: cost 8 inf + 0
31.384 * * [simplify]: Extracting #2: cost 12 inf + 42
31.385 * * [simplify]: Extracting #3: cost 13 inf + 245
31.385 * * [simplify]: Extracting #4: cost 12 inf + 247
31.385 * * [simplify]: Extracting #5: cost 5 inf + 1143
31.386 * * [simplify]: Extracting #6: cost 0 inf + 1875
31.386 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
31.386 * [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))))
31.387 * * * * [progress]: [ 25 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) (sqrt k))))>
31.387 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
31.387 * * [simplify]: iters left: 6 (8 enodes)
31.395 * * [simplify]: iters left: 5 (30 enodes)
31.406 * * [simplify]: iters left: 4 (40 enodes)
31.419 * * [simplify]: iters left: 3 (42 enodes)
31.432 * * [simplify]: Extracting #0: cost 1 inf + 0
31.432 * * [simplify]: Extracting #1: cost 8 inf + 0
31.432 * * [simplify]: Extracting #2: cost 11 inf + 203
31.433 * * [simplify]: Extracting #3: cost 13 inf + 405
31.433 * * [simplify]: Extracting #4: cost 12 inf + 407
31.433 * * [simplify]: Extracting #5: cost 3 inf + 1789
31.434 * * [simplify]: Extracting #6: cost 0 inf + 2195
31.435 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
31.435 * [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))))
31.435 * * * * [progress]: [ 26 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) (sqrt k))))>
31.435 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
31.436 * * [simplify]: iters left: 6 (8 enodes)
31.441 * * [simplify]: iters left: 5 (30 enodes)
31.452 * * [simplify]: iters left: 4 (40 enodes)
31.459 * * [simplify]: iters left: 3 (42 enodes)
31.466 * * [simplify]: Extracting #0: cost 1 inf + 0
31.466 * * [simplify]: Extracting #1: cost 8 inf + 0
31.466 * * [simplify]: Extracting #2: cost 11 inf + 123
31.466 * * [simplify]: Extracting #3: cost 13 inf + 245
31.466 * * [simplify]: Extracting #4: cost 12 inf + 247
31.467 * * [simplify]: Extracting #5: cost 3 inf + 1509
31.467 * * [simplify]: Extracting #6: cost 0 inf + 1875
31.467 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
31.467 * [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))))
31.467 * * * * [progress]: [ 27 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)) (sqrt k))))>
31.467 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
31.468 * * [simplify]: iters left: 6 (7 enodes)
31.470 * * [simplify]: iters left: 5 (28 enodes)
31.476 * * [simplify]: iters left: 4 (35 enodes)
31.483 * * [simplify]: Extracting #0: cost 1 inf + 0
31.483 * * [simplify]: Extracting #1: cost 6 inf + 0
31.483 * * [simplify]: Extracting #2: cost 7 inf + 2
31.484 * * [simplify]: Extracting #3: cost 11 inf + 2
31.484 * * [simplify]: Extracting #4: cost 9 inf + 45
31.484 * * [simplify]: Extracting #5: cost 4 inf + 455
31.484 * * [simplify]: Extracting #6: cost 0 inf + 1066
31.485 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
31.485 * [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))))
31.485 * * * * [progress]: [ 28 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (sqrt k))))>
31.485 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
31.485 * * [simplify]: iters left: 6 (8 enodes)
31.490 * * [simplify]: iters left: 5 (30 enodes)
31.499 * * [simplify]: iters left: 4 (37 enodes)
31.506 * * [simplify]: Extracting #0: cost 1 inf + 0
31.506 * * [simplify]: Extracting #1: cost 6 inf + 0
31.506 * * [simplify]: Extracting #2: cost 12 inf + 0
31.506 * * [simplify]: Extracting #3: cost 11 inf + 405
31.506 * * [simplify]: Extracting #4: cost 10 inf + 407
31.506 * * [simplify]: Extracting #5: cost 4 inf + 1100
31.506 * * [simplify]: Extracting #6: cost 0 inf + 1629
31.507 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
31.507 * [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))))
31.507 * * * * [progress]: [ 29 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
31.507 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
31.507 * * [simplify]: iters left: 6 (9 enodes)
31.510 * * [simplify]: iters left: 5 (33 enodes)
31.517 * * [simplify]: iters left: 4 (43 enodes)
31.529 * * [simplify]: iters left: 3 (45 enodes)
31.541 * * [simplify]: Extracting #0: cost 1 inf + 0
31.541 * * [simplify]: Extracting #1: cost 8 inf + 0
31.541 * * [simplify]: Extracting #2: cost 16 inf + 0
31.541 * * [simplify]: Extracting #3: cost 16 inf + 284
31.542 * * [simplify]: Extracting #4: cost 11 inf + 610
31.542 * * [simplify]: Extracting #5: cost 8 inf + 775
31.543 * * [simplify]: Extracting #6: cost 0 inf + 2197
31.543 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
31.543 * [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))))
31.544 * * * * [progress]: [ 30 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) (sqrt k))))>
31.544 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
31.544 * * [simplify]: iters left: 6 (8 enodes)
31.549 * * [simplify]: iters left: 5 (30 enodes)
31.560 * * [simplify]: iters left: 4 (40 enodes)
31.572 * * [simplify]: iters left: 3 (42 enodes)
31.586 * * [simplify]: Extracting #0: cost 1 inf + 0
31.586 * * [simplify]: Extracting #1: cost 8 inf + 0
31.586 * * [simplify]: Extracting #2: cost 12 inf + 82
31.586 * * [simplify]: Extracting #3: cost 13 inf + 405
31.586 * * [simplify]: Extracting #4: cost 12 inf + 407
31.586 * * [simplify]: Extracting #5: cost 5 inf + 1223
31.587 * * [simplify]: Extracting #6: cost 0 inf + 1875
31.587 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
31.587 * [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))))
31.588 * * * * [progress]: [ 31 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
31.588 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
31.588 * * [simplify]: iters left: 6 (9 enodes)
31.591 * * [simplify]: iters left: 5 (33 enodes)
31.598 * * [simplify]: iters left: 4 (43 enodes)
31.605 * * [simplify]: iters left: 3 (45 enodes)
31.613 * * [simplify]: Extracting #0: cost 1 inf + 0
31.613 * * [simplify]: Extracting #1: cost 8 inf + 0
31.613 * * [simplify]: Extracting #2: cost 16 inf + 0
31.613 * * [simplify]: Extracting #3: cost 16 inf + 284
31.614 * * [simplify]: Extracting #4: cost 11 inf + 610
31.614 * * [simplify]: Extracting #5: cost 8 inf + 775
31.614 * * [simplify]: Extracting #6: cost 0 inf + 2197
31.614 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
31.614 * [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))))
31.615 * * * * [progress]: [ 32 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
31.615 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
31.615 * * [simplify]: iters left: 6 (8 enodes)
31.618 * * [simplify]: iters left: 5 (30 enodes)
31.623 * * [simplify]: iters left: 4 (35 enodes)
31.630 * * [simplify]: Extracting #0: cost 1 inf + 0
31.630 * * [simplify]: Extracting #1: cost 6 inf + 0
31.630 * * [simplify]: Extracting #2: cost 8 inf + 42
31.630 * * [simplify]: Extracting #3: cost 11 inf + 83
31.630 * * [simplify]: Extracting #4: cost 10 inf + 85
31.630 * * [simplify]: Extracting #5: cost 4 inf + 538
31.630 * * [simplify]: Extracting #6: cost 0 inf + 987
31.630 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
31.631 * [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))))
31.631 * * * * [progress]: [ 33 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) (sqrt k))))>
31.631 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
31.631 * * [simplify]: iters left: 6 (8 enodes)
31.634 * * [simplify]: iters left: 5 (30 enodes)
31.642 * * [simplify]: iters left: 4 (40 enodes)
31.649 * * [simplify]: iters left: 3 (42 enodes)
31.661 * * [simplify]: Extracting #0: cost 1 inf + 0
31.661 * * [simplify]: Extracting #1: cost 8 inf + 0
31.661 * * [simplify]: Extracting #2: cost 12 inf + 42
31.661 * * [simplify]: Extracting #3: cost 13 inf + 245
31.662 * * [simplify]: Extracting #4: cost 12 inf + 247
31.662 * * [simplify]: Extracting #5: cost 5 inf + 983
31.662 * * [simplify]: Extracting #6: cost 0 inf + 1555
31.663 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
31.663 * [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))))
31.663 * * * * [progress]: [ 34 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) (sqrt k))))>
31.664 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
31.664 * * [simplify]: iters left: 6 (8 enodes)
31.669 * * [simplify]: iters left: 5 (30 enodes)
31.679 * * [simplify]: iters left: 4 (40 enodes)
31.688 * * [simplify]: iters left: 3 (42 enodes)
31.695 * * [simplify]: Extracting #0: cost 1 inf + 0
31.695 * * [simplify]: Extracting #1: cost 8 inf + 0
31.695 * * [simplify]: Extracting #2: cost 11 inf + 203
31.695 * * [simplify]: Extracting #3: cost 13 inf + 405
31.695 * * [simplify]: Extracting #4: cost 12 inf + 407
31.695 * * [simplify]: Extracting #5: cost 3 inf + 1549
31.696 * * [simplify]: Extracting #6: cost 0 inf + 1875
31.696 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
31.696 * [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))))
31.696 * * * * [progress]: [ 35 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) (sqrt k))))>
31.696 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
31.697 * * [simplify]: iters left: 6 (8 enodes)
31.699 * * [simplify]: iters left: 5 (30 enodes)
31.705 * * [simplify]: iters left: 4 (40 enodes)
31.712 * * [simplify]: iters left: 3 (42 enodes)
31.725 * * [simplify]: Extracting #0: cost 1 inf + 0
31.725 * * [simplify]: Extracting #1: cost 8 inf + 0
31.726 * * [simplify]: Extracting #2: cost 11 inf + 123
31.726 * * [simplify]: Extracting #3: cost 13 inf + 245
31.726 * * [simplify]: Extracting #4: cost 12 inf + 247
31.726 * * [simplify]: Extracting #5: cost 3 inf + 1269
31.727 * * [simplify]: Extracting #6: cost 0 inf + 1555
31.728 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
31.728 * [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))))
31.728 * * * * [progress]: [ 36 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) (sqrt k))))>
31.728 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
31.728 * * [simplify]: iters left: 6 (7 enodes)
31.733 * * [simplify]: iters left: 5 (28 enodes)
31.743 * * [simplify]: iters left: 4 (35 enodes)
31.751 * * [simplify]: Extracting #0: cost 1 inf + 0
31.751 * * [simplify]: Extracting #1: cost 6 inf + 0
31.751 * * [simplify]: Extracting #2: cost 7 inf + 2
31.751 * * [simplify]: Extracting #3: cost 11 inf + 2
31.751 * * [simplify]: Extracting #4: cost 9 inf + 45
31.751 * * [simplify]: Extracting #5: cost 4 inf + 375
31.751 * * [simplify]: Extracting #6: cost 0 inf + 826
31.752 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
31.752 * [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))))
31.752 * * * * [progress]: [ 37 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (sqrt k))))>
31.752 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
31.752 * * [simplify]: iters left: 6 (7 enodes)
31.755 * * [simplify]: iters left: 5 (30 enodes)
31.762 * * [simplify]: iters left: 4 (49 enodes)
31.771 * * [simplify]: iters left: 3 (59 enodes)
31.780 * * [simplify]: iters left: 2 (64 enodes)
31.796 * * [simplify]: Extracting #0: cost 1 inf + 0
31.796 * * [simplify]: Extracting #1: cost 9 inf + 0
31.796 * * [simplify]: Extracting #2: cost 23 inf + 0
31.796 * * [simplify]: Extracting #3: cost 24 inf + 3
31.797 * * [simplify]: Extracting #4: cost 15 inf + 980
31.797 * * [simplify]: Extracting #5: cost 1 inf + 3007
31.798 * * [simplify]: Extracting #6: cost 0 inf + 3169
31.799 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
31.800 * [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))))
31.800 * * * * [progress]: [ 38 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k))))>
31.800 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
31.801 * * [simplify]: iters left: 6 (8 enodes)
31.806 * * [simplify]: iters left: 5 (33 enodes)
31.818 * * [simplify]: iters left: 4 (55 enodes)
31.836 * * [simplify]: iters left: 3 (72 enodes)
31.859 * * [simplify]: iters left: 2 (84 enodes)
31.882 * * [simplify]: iters left: 1 (88 enodes)
31.907 * * [simplify]: Extracting #0: cost 1 inf + 0
31.907 * * [simplify]: Extracting #1: cost 11 inf + 0
31.907 * * [simplify]: Extracting #2: cost 30 inf + 0
31.907 * * [simplify]: Extracting #3: cost 33 inf + 84
31.908 * * [simplify]: Extracting #4: cost 12 inf + 2402
31.908 * * [simplify]: Extracting #5: cost 0 inf + 4469
31.909 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
31.909 * [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))))
31.909 * * * * [progress]: [ 39 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (sqrt k))))>
31.910 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
31.910 * * [simplify]: iters left: 6 (7 enodes)
31.912 * * [simplify]: iters left: 5 (30 enodes)
31.918 * * [simplify]: iters left: 4 (52 enodes)
31.928 * * [simplify]: iters left: 3 (70 enodes)
31.941 * * [simplify]: iters left: 2 (81 enodes)
31.958 * * [simplify]: iters left: 1 (84 enodes)
31.970 * * [simplify]: Extracting #0: cost 1 inf + 0
31.970 * * [simplify]: Extracting #1: cost 11 inf + 0
31.971 * * [simplify]: Extracting #2: cost 25 inf + 203
31.971 * * [simplify]: Extracting #3: cost 25 inf + 530
31.971 * * [simplify]: Extracting #4: cost 4 inf + 2936
31.972 * * [simplify]: Extracting #5: cost 0 inf + 3504
31.972 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
31.972 * [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))))
31.972 * * * * [progress]: [ 40 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k))))>
31.973 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
31.973 * * [simplify]: iters left: 6 (8 enodes)
31.976 * * [simplify]: iters left: 5 (33 enodes)
31.984 * * [simplify]: iters left: 4 (55 enodes)
32.000 * * [simplify]: iters left: 3 (72 enodes)
32.013 * * [simplify]: iters left: 2 (84 enodes)
32.026 * * [simplify]: iters left: 1 (88 enodes)
32.045 * * [simplify]: Extracting #0: cost 1 inf + 0
32.045 * * [simplify]: Extracting #1: cost 11 inf + 0
32.045 * * [simplify]: Extracting #2: cost 30 inf + 0
32.045 * * [simplify]: Extracting #3: cost 33 inf + 44
32.046 * * [simplify]: Extracting #4: cost 12 inf + 2362
32.046 * * [simplify]: Extracting #5: cost 0 inf + 4469
32.047 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
32.047 * [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))))
32.047 * * * * [progress]: [ 41 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (sqrt k))))>
32.048 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
32.048 * * [simplify]: iters left: 6 (7 enodes)
32.050 * * [simplify]: iters left: 5 (30 enodes)
32.056 * * [simplify]: iters left: 4 (48 enodes)
32.065 * * [simplify]: iters left: 3 (56 enodes)
32.078 * * [simplify]: Extracting #0: cost 1 inf + 0
32.078 * * [simplify]: Extracting #1: cost 8 inf + 0
32.078 * * [simplify]: Extracting #2: cost 15 inf + 43
32.078 * * [simplify]: Extracting #3: cost 16 inf + 86
32.078 * * [simplify]: Extracting #4: cost 5 inf + 911
32.079 * * [simplify]: Extracting #5: cost 1 inf + 1198
32.080 * * [simplify]: Extracting #6: cost 0 inf + 1320
32.080 * [simplify]: Simplified to (/ (- 1 k) 2)
32.080 * [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))))
32.081 * * * * [progress]: [ 42 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (sqrt k))))>
32.081 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
32.081 * * [simplify]: iters left: 6 (7 enodes)
32.086 * * [simplify]: iters left: 5 (30 enodes)
32.097 * * [simplify]: iters left: 4 (52 enodes)
32.115 * * [simplify]: iters left: 3 (70 enodes)
32.134 * * [simplify]: iters left: 2 (81 enodes)
32.154 * * [simplify]: iters left: 1 (84 enodes)
32.175 * * [simplify]: Extracting #0: cost 1 inf + 0
32.175 * * [simplify]: Extracting #1: cost 11 inf + 0
32.175 * * [simplify]: Extracting #2: cost 25 inf + 123
32.175 * * [simplify]: Extracting #3: cost 25 inf + 330
32.176 * * [simplify]: Extracting #4: cost 4 inf + 2256
32.177 * * [simplify]: Extracting #5: cost 0 inf + 2704
32.178 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
32.178 * [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))))
32.178 * * * * [progress]: [ 43 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))>
32.179 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
32.179 * * [simplify]: iters left: 6 (7 enodes)
32.183 * * [simplify]: iters left: 5 (31 enodes)
32.195 * * [simplify]: iters left: 4 (51 enodes)
32.212 * * [simplify]: iters left: 3 (64 enodes)
32.230 * * [simplify]: iters left: 2 (77 enodes)
32.249 * * [simplify]: iters left: 1 (84 enodes)
32.272 * * [simplify]: Extracting #0: cost 1 inf + 0
32.272 * * [simplify]: Extracting #1: cost 11 inf + 0
32.272 * * [simplify]: Extracting #2: cost 26 inf + 82
32.273 * * [simplify]: Extracting #3: cost 24 inf + 692
32.274 * * [simplify]: Extracting #4: cost 3 inf + 3057
32.275 * * [simplify]: Extracting #5: cost 0 inf + 3504
32.276 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
32.276 * [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))))
32.276 * * * * [progress]: [ 44 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))>
32.276 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
32.276 * * [simplify]: iters left: 6 (7 enodes)
32.281 * * [simplify]: iters left: 5 (31 enodes)
32.291 * * [simplify]: iters left: 4 (51 enodes)
32.306 * * [simplify]: iters left: 3 (64 enodes)
32.323 * * [simplify]: iters left: 2 (77 enodes)
32.335 * * [simplify]: iters left: 1 (84 enodes)
32.350 * * [simplify]: Extracting #0: cost 1 inf + 0
32.350 * * [simplify]: Extracting #1: cost 11 inf + 0
32.350 * * [simplify]: Extracting #2: cost 26 inf + 42
32.350 * * [simplify]: Extracting #3: cost 24 inf + 452
32.351 * * [simplify]: Extracting #4: cost 3 inf + 2337
32.352 * * [simplify]: Extracting #5: cost 0 inf + 2704
32.353 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
32.353 * [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))))
32.353 * * * * [progress]: [ 45 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
32.354 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
32.354 * * [simplify]: iters left: 6 (6 enodes)
32.359 * * [simplify]: iters left: 5 (29 enodes)
32.370 * * [simplify]: iters left: 4 (44 enodes)
32.378 * * [simplify]: iters left: 3 (50 enodes)
32.389 * * [simplify]: iters left: 2 (57 enodes)
32.398 * * [simplify]: Extracting #0: cost 1 inf + 0
32.398 * * [simplify]: Extracting #1: cost 9 inf + 0
32.398 * * [simplify]: Extracting #2: cost 15 inf + 3
32.398 * * [simplify]: Extracting #3: cost 11 inf + 131
32.398 * * [simplify]: Extracting #4: cost 2 inf + 711
32.399 * * [simplify]: Extracting #5: cost 0 inf + 836
32.399 * [simplify]: Simplified to (- 1/4 (/ k 4))
32.399 * [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))))
32.399 * * * * [progress]: [ 46 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))) (sqrt k))))>
32.399 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
32.399 * * [simplify]: iters left: 6 (9 enodes)
32.405 * * [simplify]: iters left: 5 (36 enodes)
32.418 * * [simplify]: iters left: 4 (58 enodes)
32.428 * * [simplify]: iters left: 3 (71 enodes)
32.439 * * [simplify]: iters left: 2 (79 enodes)
32.450 * * [simplify]: iters left: 1 (80 enodes)
32.462 * * [simplify]: Extracting #0: cost 1 inf + 0
32.462 * * [simplify]: Extracting #1: cost 9 inf + 0
32.462 * * [simplify]: Extracting #2: cost 24 inf + 0
32.462 * * [simplify]: Extracting #3: cost 29 inf + 2
32.462 * * [simplify]: Extracting #4: cost 10 inf + 2233
32.463 * * [simplify]: Extracting #5: cost 1 inf + 4013
32.464 * * [simplify]: Extracting #6: cost 0 inf + 4135
32.464 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
32.464 * [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))))
32.465 * * * * [progress]: [ 47 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
32.465 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
32.465 * * [simplify]: iters left: 6 (10 enodes)
32.469 * * [simplify]: iters left: 5 (39 enodes)
32.481 * * [simplify]: iters left: 4 (64 enodes)
32.505 * * [simplify]: iters left: 3 (86 enodes)
32.531 * * [simplify]: iters left: 2 (99 enodes)
32.558 * * [simplify]: iters left: 1 (104 enodes)
32.585 * * [simplify]: Extracting #0: cost 1 inf + 0
32.585 * * [simplify]: Extracting #1: cost 11 inf + 0
32.586 * * [simplify]: Extracting #2: cost 31 inf + 0
32.586 * * [simplify]: Extracting #3: cost 39 inf + 2
32.586 * * [simplify]: Extracting #4: cost 22 inf + 1871
32.588 * * [simplify]: Extracting #5: cost 4 inf + 4865
32.590 * * [simplify]: Extracting #6: cost 0 inf + 5675
32.591 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
32.592 * [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))))
32.592 * * * * [progress]: [ 48 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) (sqrt k))))>
32.592 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
32.592 * * [simplify]: iters left: 6 (9 enodes)
32.598 * * [simplify]: iters left: 5 (36 enodes)
32.611 * * [simplify]: iters left: 4 (61 enodes)
32.622 * * [simplify]: iters left: 3 (84 enodes)
32.639 * * [simplify]: iters left: 2 (96 enodes)
32.663 * * [simplify]: iters left: 1 (100 enodes)
32.689 * * [simplify]: Extracting #0: cost 1 inf + 0
32.689 * * [simplify]: Extracting #1: cost 11 inf + 0
32.689 * * [simplify]: Extracting #2: cost 27 inf + 82
32.690 * * [simplify]: Extracting #3: cost 29 inf + 651
32.690 * * [simplify]: Extracting #4: cost 12 inf + 2763
32.692 * * [simplify]: Extracting #5: cost 1 inf + 4587
32.693 * * [simplify]: Extracting #6: cost 0 inf + 4710
32.695 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
32.695 * [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))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (sqrt k))))
32.695 * * * * [progress]: [ 49 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
32.696 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
32.696 * * [simplify]: iters left: 6 (10 enodes)
32.702 * * [simplify]: iters left: 5 (39 enodes)
32.716 * * [simplify]: iters left: 4 (64 enodes)
32.737 * * [simplify]: iters left: 3 (86 enodes)
32.762 * * [simplify]: iters left: 2 (99 enodes)
32.793 * * [simplify]: iters left: 1 (104 enodes)
32.809 * * [simplify]: Extracting #0: cost 1 inf + 0
32.809 * * [simplify]: Extracting #1: cost 11 inf + 0
32.809 * * [simplify]: Extracting #2: cost 31 inf + 0
32.809 * * [simplify]: Extracting #3: cost 39 inf + 2
32.809 * * [simplify]: Extracting #4: cost 22 inf + 1831
32.810 * * [simplify]: Extracting #5: cost 4 inf + 4785
32.811 * * [simplify]: Extracting #6: cost 0 inf + 5595
32.812 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
32.812 * [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))))
32.812 * * * * [progress]: [ 50 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
32.812 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
32.812 * * [simplify]: iters left: 6 (9 enodes)
32.816 * * [simplify]: iters left: 5 (36 enodes)
32.822 * * [simplify]: iters left: 4 (57 enodes)
32.833 * * [simplify]: iters left: 3 (73 enodes)
32.844 * * [simplify]: iters left: 2 (80 enodes)
32.855 * * [simplify]: iters left: 1 (81 enodes)
32.866 * * [simplify]: Extracting #0: cost 1 inf + 0
32.866 * * [simplify]: Extracting #1: cost 9 inf + 0
32.866 * * [simplify]: Extracting #2: cost 18 inf + 43
32.866 * * [simplify]: Extracting #3: cost 23 inf + 85
32.866 * * [simplify]: Extracting #4: cost 9 inf + 1271
32.867 * * [simplify]: Extracting #5: cost 0 inf + 2370
32.867 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
32.867 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (sqrt k))))
32.867 * * * * [progress]: [ 51 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) (sqrt k))))>
32.868 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
32.868 * * [simplify]: iters left: 6 (9 enodes)
32.871 * * [simplify]: iters left: 5 (36 enodes)
32.880 * * [simplify]: iters left: 4 (61 enodes)
32.890 * * [simplify]: iters left: 3 (84 enodes)
32.904 * * [simplify]: iters left: 2 (96 enodes)
32.919 * * [simplify]: iters left: 1 (100 enodes)
32.944 * * [simplify]: Extracting #0: cost 1 inf + 0
32.944 * * [simplify]: Extracting #1: cost 11 inf + 0
32.944 * * [simplify]: Extracting #2: cost 27 inf + 42
32.945 * * [simplify]: Extracting #3: cost 29 inf + 411
32.945 * * [simplify]: Extracting #4: cost 12 inf + 2163
32.947 * * [simplify]: Extracting #5: cost 1 inf + 3707
32.949 * * [simplify]: Extracting #6: cost 0 inf + 3830
32.950 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
32.950 * [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))))
32.951 * * * * [progress]: [ 52 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) (sqrt k))))>
32.951 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
32.951 * * [simplify]: iters left: 6 (9 enodes)
32.957 * * [simplify]: iters left: 5 (36 enodes)
32.971 * * [simplify]: iters left: 4 (62 enodes)
32.990 * * [simplify]: iters left: 3 (78 enodes)
33.015 * * [simplify]: iters left: 2 (90 enodes)
33.039 * * [simplify]: iters left: 1 (94 enodes)
33.054 * * [simplify]: Extracting #0: cost 1 inf + 0
33.054 * * [simplify]: Extracting #1: cost 11 inf + 0
33.054 * * [simplify]: Extracting #2: cost 27 inf + 1
33.055 * * [simplify]: Extracting #3: cost 29 inf + 409
33.055 * * [simplify]: Extracting #4: cost 12 inf + 2359
33.055 * * [simplify]: Extracting #5: cost 2 inf + 4022
33.056 * * [simplify]: Extracting #6: cost 0 inf + 4466
33.057 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
33.057 * [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))))
33.057 * * * * [progress]: [ 53 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) (sqrt k))))>
33.058 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
33.058 * * [simplify]: iters left: 6 (9 enodes)
33.061 * * [simplify]: iters left: 5 (36 enodes)
33.068 * * [simplify]: iters left: 4 (62 enodes)
33.080 * * [simplify]: iters left: 3 (78 enodes)
33.102 * * [simplify]: iters left: 2 (90 enodes)
33.117 * * [simplify]: iters left: 1 (94 enodes)
33.132 * * [simplify]: Extracting #0: cost 1 inf + 0
33.133 * * [simplify]: Extracting #1: cost 11 inf + 0
33.133 * * [simplify]: Extracting #2: cost 27 inf + 1
33.133 * * [simplify]: Extracting #3: cost 29 inf + 249
33.133 * * [simplify]: Extracting #4: cost 12 inf + 1879
33.134 * * [simplify]: Extracting #5: cost 2 inf + 3302
33.134 * * [simplify]: Extracting #6: cost 0 inf + 3666
33.135 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
33.135 * [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))))
33.135 * * * * [progress]: [ 54 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) (sqrt k))))>
33.135 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
33.136 * * [simplify]: iters left: 6 (8 enodes)
33.139 * * [simplify]: iters left: 5 (34 enodes)
33.146 * * [simplify]: iters left: 4 (58 enodes)
33.157 * * [simplify]: iters left: 3 (65 enodes)
33.174 * * [simplify]: Extracting #0: cost 1 inf + 0
33.174 * * [simplify]: Extracting #1: cost 8 inf + 0
33.174 * * [simplify]: Extracting #2: cost 14 inf + 3
33.174 * * [simplify]: Extracting #3: cost 17 inf + 5
33.175 * * [simplify]: Extracting #4: cost 12 inf + 292
33.175 * * [simplify]: Extracting #5: cost 1 inf + 1355
33.176 * * [simplify]: Extracting #6: cost 0 inf + 1478
33.176 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
33.176 * [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))))
33.177 * * * * [progress]: [ 55 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (sqrt k))))>
33.177 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
33.177 * * [simplify]: iters left: 6 (8 enodes)
33.182 * * [simplify]: iters left: 5 (33 enodes)
33.188 * * [simplify]: iters left: 4 (52 enodes)
33.197 * * [simplify]: iters left: 3 (62 enodes)
33.208 * * [simplify]: iters left: 2 (67 enodes)
33.223 * * [simplify]: Extracting #0: cost 1 inf + 0
33.223 * * [simplify]: Extracting #1: cost 9 inf + 0
33.223 * * [simplify]: Extracting #2: cost 23 inf + 0
33.224 * * [simplify]: Extracting #3: cost 24 inf + 285
33.224 * * [simplify]: Extracting #4: cost 18 inf + 975
33.225 * * [simplify]: Extracting #5: cost 7 inf + 2516
33.226 * * [simplify]: Extracting #6: cost 0 inf + 3891
33.227 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
33.227 * [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))))
33.228 * * * * [progress]: [ 56 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
33.228 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
33.228 * * [simplify]: iters left: 6 (9 enodes)
33.236 * * [simplify]: iters left: 5 (36 enodes)
33.250 * * [simplify]: iters left: 4 (58 enodes)
33.267 * * [simplify]: iters left: 3 (75 enodes)
33.279 * * [simplify]: iters left: 2 (87 enodes)
33.292 * * [simplify]: iters left: 1 (91 enodes)
33.315 * * [simplify]: Extracting #0: cost 1 inf + 0
33.315 * * [simplify]: Extracting #1: cost 11 inf + 0
33.315 * * [simplify]: Extracting #2: cost 30 inf + 0
33.315 * * [simplify]: Extracting #3: cost 36 inf + 83
33.316 * * [simplify]: Extracting #4: cost 30 inf + 451
33.317 * * [simplify]: Extracting #5: cost 10 inf + 3649
33.318 * * [simplify]: Extracting #6: cost 0 inf + 5431
33.320 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
33.320 * [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))))
33.321 * * * * [progress]: [ 57 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) (sqrt k))))>
33.321 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
33.321 * * [simplify]: iters left: 6 (8 enodes)
33.326 * * [simplify]: iters left: 5 (33 enodes)
33.338 * * [simplify]: iters left: 4 (55 enodes)
33.357 * * [simplify]: iters left: 3 (73 enodes)
33.382 * * [simplify]: iters left: 2 (84 enodes)
33.397 * * [simplify]: iters left: 1 (87 enodes)
33.410 * * [simplify]: Extracting #0: cost 1 inf + 0
33.410 * * [simplify]: Extracting #1: cost 11 inf + 0
33.410 * * [simplify]: Extracting #2: cost 25 inf + 203
33.411 * * [simplify]: Extracting #3: cost 29 inf + 407
33.411 * * [simplify]: Extracting #4: cost 24 inf + 896
33.411 * * [simplify]: Extracting #5: cost 9 inf + 2805
33.412 * * [simplify]: Extracting #6: cost 0 inf + 4466
33.412 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
33.413 * [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))))
33.413 * * * * [progress]: [ 58 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
33.413 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
33.413 * * [simplify]: iters left: 6 (9 enodes)
33.417 * * [simplify]: iters left: 5 (36 enodes)
33.424 * * [simplify]: iters left: 4 (58 enodes)
33.440 * * [simplify]: iters left: 3 (75 enodes)
33.462 * * [simplify]: iters left: 2 (87 enodes)
33.487 * * [simplify]: iters left: 1 (91 enodes)
33.515 * * [simplify]: Extracting #0: cost 1 inf + 0
33.515 * * [simplify]: Extracting #1: cost 11 inf + 0
33.515 * * [simplify]: Extracting #2: cost 30 inf + 0
33.516 * * [simplify]: Extracting #3: cost 36 inf + 43
33.516 * * [simplify]: Extracting #4: cost 30 inf + 451
33.517 * * [simplify]: Extracting #5: cost 10 inf + 3769
33.518 * * [simplify]: Extracting #6: cost 0 inf + 5431
33.520 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
33.520 * [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))))
33.520 * * * * [progress]: [ 59 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
33.520 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
33.520 * * [simplify]: iters left: 6 (8 enodes)
33.523 * * [simplify]: iters left: 5 (33 enodes)
33.530 * * [simplify]: iters left: 4 (51 enodes)
33.538 * * [simplify]: iters left: 3 (59 enodes)
33.547 * * [simplify]: Extracting #0: cost 1 inf + 0
33.547 * * [simplify]: Extracting #1: cost 8 inf + 0
33.547 * * [simplify]: Extracting #2: cost 15 inf + 43
33.547 * * [simplify]: Extracting #3: cost 19 inf + 85
33.547 * * [simplify]: Extracting #4: cost 16 inf + 250
33.547 * * [simplify]: Extracting #5: cost 5 inf + 1311
33.548 * * [simplify]: Extracting #6: cost 0 inf + 1962
33.548 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
33.548 * [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))))
33.548 * * * * [progress]: [ 60 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) (sqrt k))))>
33.549 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
33.549 * * [simplify]: iters left: 6 (8 enodes)
33.551 * * [simplify]: iters left: 5 (33 enodes)
33.558 * * [simplify]: iters left: 4 (55 enodes)
33.568 * * [simplify]: iters left: 3 (73 enodes)
33.580 * * [simplify]: iters left: 2 (84 enodes)
33.599 * * [simplify]: iters left: 1 (87 enodes)
33.613 * * [simplify]: Extracting #0: cost 1 inf + 0
33.613 * * [simplify]: Extracting #1: cost 11 inf + 0
33.613 * * [simplify]: Extracting #2: cost 25 inf + 123
33.613 * * [simplify]: Extracting #3: cost 29 inf + 247
33.613 * * [simplify]: Extracting #4: cost 24 inf + 576
33.613 * * [simplify]: Extracting #5: cost 9 inf + 2245
33.614 * * [simplify]: Extracting #6: cost 0 inf + 3666
33.615 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
33.615 * [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))))
33.615 * * * * [progress]: [ 61 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) (sqrt k))))>
33.615 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
33.615 * * [simplify]: iters left: 6 (8 enodes)
33.621 * * [simplify]: iters left: 5 (34 enodes)
33.634 * * [simplify]: iters left: 4 (54 enodes)
33.652 * * [simplify]: iters left: 3 (67 enodes)
33.672 * * [simplify]: iters left: 2 (80 enodes)
33.685 * * [simplify]: iters left: 1 (87 enodes)
33.700 * * [simplify]: Extracting #0: cost 1 inf + 0
33.700 * * [simplify]: Extracting #1: cost 11 inf + 0
33.700 * * [simplify]: Extracting #2: cost 25 inf + 203
33.701 * * [simplify]: Extracting #3: cost 26 inf + 773
33.701 * * [simplify]: Extracting #4: cost 24 inf + 896
33.702 * * [simplify]: Extracting #5: cost 8 inf + 3127
33.703 * * [simplify]: Extracting #6: cost 0 inf + 4466
33.705 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
33.705 * [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))))
33.705 * * * * [progress]: [ 62 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) (sqrt k))))>
33.705 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
33.705 * * [simplify]: iters left: 6 (8 enodes)
33.711 * * [simplify]: iters left: 5 (34 enodes)
33.726 * * [simplify]: iters left: 4 (54 enodes)
33.744 * * [simplify]: iters left: 3 (67 enodes)
33.758 * * [simplify]: iters left: 2 (80 enodes)
33.770 * * [simplify]: iters left: 1 (87 enodes)
33.786 * * [simplify]: Extracting #0: cost 1 inf + 0
33.786 * * [simplify]: Extracting #1: cost 11 inf + 0
33.786 * * [simplify]: Extracting #2: cost 25 inf + 123
33.786 * * [simplify]: Extracting #3: cost 26 inf + 493
33.787 * * [simplify]: Extracting #4: cost 24 inf + 576
33.787 * * [simplify]: Extracting #5: cost 8 inf + 2527
33.789 * * [simplify]: Extracting #6: cost 0 inf + 3666
33.790 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
33.790 * [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))))
33.790 * * * * [progress]: [ 63 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k))))>
33.791 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
33.791 * * [simplify]: iters left: 6 (7 enodes)
33.796 * * [simplify]: iters left: 5 (32 enodes)
33.808 * * [simplify]: iters left: 4 (50 enodes)
33.823 * * [simplify]: iters left: 3 (54 enodes)
33.838 * * [simplify]: Extracting #0: cost 1 inf + 0
33.838 * * [simplify]: Extracting #1: cost 8 inf + 0
33.838 * * [simplify]: Extracting #2: cost 13 inf + 3
33.839 * * [simplify]: Extracting #3: cost 15 inf + 5
33.839 * * [simplify]: Extracting #4: cost 14 inf + 6
33.839 * * [simplify]: Extracting #5: cost 4 inf + 825
33.840 * * [simplify]: Extracting #6: cost 0 inf + 1234
33.840 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
33.840 * [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))))
33.840 * * * * [progress]: [ 64 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (sqrt k))))>
33.841 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
33.841 * * [simplify]: iters left: 6 (7 enodes)
33.846 * * [simplify]: iters left: 5 (30 enodes)
33.859 * * [simplify]: iters left: 4 (49 enodes)
33.876 * * [simplify]: iters left: 3 (59 enodes)
33.893 * * [simplify]: iters left: 2 (64 enodes)
33.913 * * [simplify]: Extracting #0: cost 1 inf + 0
33.913 * * [simplify]: Extracting #1: cost 9 inf + 0
33.913 * * [simplify]: Extracting #2: cost 23 inf + 0
33.913 * * [simplify]: Extracting #3: cost 24 inf + 3
33.913 * * [simplify]: Extracting #4: cost 15 inf + 980
33.914 * * [simplify]: Extracting #5: cost 1 inf + 3007
33.915 * * [simplify]: Extracting #6: cost 0 inf + 3169
33.916 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
33.916 * [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))))
33.917 * * * * [progress]: [ 65 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k))))>
33.917 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
33.917 * * [simplify]: iters left: 6 (8 enodes)
33.923 * * [simplify]: iters left: 5 (33 enodes)
33.935 * * [simplify]: iters left: 4 (55 enodes)
33.953 * * [simplify]: iters left: 3 (72 enodes)
33.976 * * [simplify]: iters left: 2 (84 enodes)
34.001 * * [simplify]: iters left: 1 (88 enodes)
34.028 * * [simplify]: Extracting #0: cost 1 inf + 0
34.028 * * [simplify]: Extracting #1: cost 11 inf + 0
34.028 * * [simplify]: Extracting #2: cost 30 inf + 0
34.028 * * [simplify]: Extracting #3: cost 33 inf + 84
34.029 * * [simplify]: Extracting #4: cost 12 inf + 2402
34.030 * * [simplify]: Extracting #5: cost 0 inf + 4469
34.032 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
34.032 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k))))
34.032 * * * * [progress]: [ 66 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (sqrt k))))>
34.032 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
34.032 * * [simplify]: iters left: 6 (7 enodes)
34.035 * * [simplify]: iters left: 5 (30 enodes)
34.041 * * [simplify]: iters left: 4 (52 enodes)
34.050 * * [simplify]: iters left: 3 (70 enodes)
34.061 * * [simplify]: iters left: 2 (81 enodes)
34.074 * * [simplify]: iters left: 1 (84 enodes)
34.088 * * [simplify]: Extracting #0: cost 1 inf + 0
34.088 * * [simplify]: Extracting #1: cost 11 inf + 0
34.088 * * [simplify]: Extracting #2: cost 25 inf + 203
34.088 * * [simplify]: Extracting #3: cost 25 inf + 530
34.089 * * [simplify]: Extracting #4: cost 4 inf + 2936
34.090 * * [simplify]: Extracting #5: cost 0 inf + 3504
34.091 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
34.091 * [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))))
34.092 * * * * [progress]: [ 67 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k))))>
34.092 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
34.092 * * [simplify]: iters left: 6 (8 enodes)
34.097 * * [simplify]: iters left: 5 (33 enodes)
34.110 * * [simplify]: iters left: 4 (55 enodes)
34.130 * * [simplify]: iters left: 3 (72 enodes)
34.152 * * [simplify]: iters left: 2 (84 enodes)
34.169 * * [simplify]: iters left: 1 (88 enodes)
34.182 * * [simplify]: Extracting #0: cost 1 inf + 0
34.182 * * [simplify]: Extracting #1: cost 11 inf + 0
34.182 * * [simplify]: Extracting #2: cost 30 inf + 0
34.182 * * [simplify]: Extracting #3: cost 33 inf + 44
34.182 * * [simplify]: Extracting #4: cost 12 inf + 2362
34.183 * * [simplify]: Extracting #5: cost 0 inf + 4469
34.184 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
34.184 * [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))))
34.184 * * * * [progress]: [ 68 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (sqrt k))))>
34.184 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
34.184 * * [simplify]: iters left: 6 (7 enodes)
34.187 * * [simplify]: iters left: 5 (30 enodes)
34.198 * * [simplify]: iters left: 4 (48 enodes)
34.212 * * [simplify]: iters left: 3 (56 enodes)
34.228 * * [simplify]: Extracting #0: cost 1 inf + 0
34.228 * * [simplify]: Extracting #1: cost 8 inf + 0
34.229 * * [simplify]: Extracting #2: cost 15 inf + 43
34.229 * * [simplify]: Extracting #3: cost 16 inf + 86
34.229 * * [simplify]: Extracting #4: cost 5 inf + 911
34.230 * * [simplify]: Extracting #5: cost 1 inf + 1198
34.230 * * [simplify]: Extracting #6: cost 0 inf + 1320
34.231 * [simplify]: Simplified to (/ (- 1 k) 2)
34.231 * [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))))
34.231 * * * * [progress]: [ 69 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (sqrt k))))>
34.231 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
34.231 * * [simplify]: iters left: 6 (7 enodes)
34.237 * * [simplify]: iters left: 5 (30 enodes)
34.248 * * [simplify]: iters left: 4 (52 enodes)
34.268 * * [simplify]: iters left: 3 (70 enodes)
34.279 * * [simplify]: iters left: 2 (81 enodes)
34.292 * * [simplify]: iters left: 1 (84 enodes)
34.307 * * [simplify]: Extracting #0: cost 1 inf + 0
34.307 * * [simplify]: Extracting #1: cost 11 inf + 0
34.307 * * [simplify]: Extracting #2: cost 25 inf + 123
34.308 * * [simplify]: Extracting #3: cost 25 inf + 330
34.308 * * [simplify]: Extracting #4: cost 4 inf + 2256
34.310 * * [simplify]: Extracting #5: cost 0 inf + 2704
34.311 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
34.311 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))
34.311 * * * * [progress]: [ 70 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))>
34.311 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
34.312 * * [simplify]: iters left: 6 (7 enodes)
34.317 * * [simplify]: iters left: 5 (31 enodes)
34.328 * * [simplify]: iters left: 4 (51 enodes)
34.346 * * [simplify]: iters left: 3 (64 enodes)
34.366 * * [simplify]: iters left: 2 (77 enodes)
34.389 * * [simplify]: iters left: 1 (84 enodes)
34.415 * * [simplify]: Extracting #0: cost 1 inf + 0
34.415 * * [simplify]: Extracting #1: cost 11 inf + 0
34.415 * * [simplify]: Extracting #2: cost 26 inf + 82
34.416 * * [simplify]: Extracting #3: cost 24 inf + 692
34.417 * * [simplify]: Extracting #4: cost 3 inf + 3057
34.418 * * [simplify]: Extracting #5: cost 0 inf + 3504
34.419 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
34.419 * [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))))
34.420 * * * * [progress]: [ 71 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))>
34.420 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
34.420 * * [simplify]: iters left: 6 (7 enodes)
34.425 * * [simplify]: iters left: 5 (31 enodes)
34.436 * * [simplify]: iters left: 4 (51 enodes)
34.452 * * [simplify]: iters left: 3 (64 enodes)
34.472 * * [simplify]: iters left: 2 (77 enodes)
34.495 * * [simplify]: iters left: 1 (84 enodes)
34.508 * * [simplify]: Extracting #0: cost 1 inf + 0
34.508 * * [simplify]: Extracting #1: cost 11 inf + 0
34.508 * * [simplify]: Extracting #2: cost 26 inf + 42
34.508 * * [simplify]: Extracting #3: cost 24 inf + 452
34.509 * * [simplify]: Extracting #4: cost 3 inf + 2337
34.509 * * [simplify]: Extracting #5: cost 0 inf + 2704
34.510 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
34.510 * [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))))
34.510 * * * * [progress]: [ 72 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
34.510 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
34.510 * * [simplify]: iters left: 6 (6 enodes)
34.513 * * [simplify]: iters left: 5 (29 enodes)
34.519 * * [simplify]: iters left: 4 (44 enodes)
34.529 * * [simplify]: iters left: 3 (50 enodes)
34.550 * * [simplify]: iters left: 2 (57 enodes)
34.561 * * [simplify]: Extracting #0: cost 1 inf + 0
34.562 * * [simplify]: Extracting #1: cost 9 inf + 0
34.562 * * [simplify]: Extracting #2: cost 15 inf + 3
34.562 * * [simplify]: Extracting #3: cost 11 inf + 131
34.562 * * [simplify]: Extracting #4: cost 2 inf + 711
34.562 * * [simplify]: Extracting #5: cost 0 inf + 836
34.562 * [simplify]: Simplified to (- 1/4 (/ k 4))
34.562 * [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))))
34.563 * * * * [progress]: [ 73 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))>
34.563 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
34.563 * * [simplify]: iters left: 6 (7 enodes)
34.566 * * [simplify]: iters left: 5 (31 enodes)
34.572 * * [simplify]: iters left: 4 (51 enodes)
34.581 * * [simplify]: iters left: 3 (64 enodes)
34.597 * * [simplify]: iters left: 2 (77 enodes)
34.620 * * [simplify]: iters left: 1 (84 enodes)
34.643 * * [simplify]: Extracting #0: cost 1 inf + 0
34.643 * * [simplify]: Extracting #1: cost 11 inf + 0
34.644 * * [simplify]: Extracting #2: cost 26 inf + 82
34.644 * * [simplify]: Extracting #3: cost 24 inf + 692
34.645 * * [simplify]: Extracting #4: cost 3 inf + 3057
34.646 * * [simplify]: Extracting #5: cost 0 inf + 3504
34.647 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
34.647 * [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 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (sqrt k))))
34.647 * * * * [progress]: [ 74 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))>
34.648 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
34.648 * * [simplify]: iters left: 6 (7 enodes)
34.653 * * [simplify]: iters left: 5 (31 enodes)
34.664 * * [simplify]: iters left: 4 (51 enodes)
34.684 * * [simplify]: iters left: 3 (64 enodes)
34.703 * * [simplify]: iters left: 2 (77 enodes)
34.726 * * [simplify]: iters left: 1 (84 enodes)
34.749 * * [simplify]: Extracting #0: cost 1 inf + 0
34.749 * * [simplify]: Extracting #1: cost 11 inf + 0
34.749 * * [simplify]: Extracting #2: cost 26 inf + 42
34.749 * * [simplify]: Extracting #3: cost 24 inf + 452
34.750 * * [simplify]: Extracting #4: cost 3 inf + 2337
34.751 * * [simplify]: Extracting #5: cost 0 inf + 2704
34.752 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
34.753 * [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))))
34.753 * * * * [progress]: [ 75 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
34.753 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
34.753 * * [simplify]: iters left: 6 (6 enodes)
34.758 * * [simplify]: iters left: 5 (29 enodes)
34.769 * * [simplify]: iters left: 4 (44 enodes)
34.783 * * [simplify]: iters left: 3 (50 enodes)
34.794 * * [simplify]: iters left: 2 (57 enodes)
34.804 * * [simplify]: Extracting #0: cost 1 inf + 0
34.804 * * [simplify]: Extracting #1: cost 9 inf + 0
34.804 * * [simplify]: Extracting #2: cost 15 inf + 3
34.804 * * [simplify]: Extracting #3: cost 11 inf + 131
34.804 * * [simplify]: Extracting #4: cost 2 inf + 711
34.804 * * [simplify]: Extracting #5: cost 0 inf + 836
34.805 * [simplify]: Simplified to (- 1/4 (/ k 4))
34.805 * [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))))
34.805 * * * * [progress]: [ 76 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (sqrt k))))>
34.805 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
34.805 * * [simplify]: iters left: 4 (5 enodes)
34.808 * * [simplify]: iters left: 3 (20 enodes)
34.812 * * [simplify]: iters left: 2 (27 enodes)
34.822 * * [simplify]: iters left: 1 (29 enodes)
34.829 * * [simplify]: Extracting #0: cost 1 inf + 0
34.829 * * [simplify]: Extracting #1: cost 8 inf + 0
34.829 * * [simplify]: Extracting #2: cost 4 inf + 449
34.829 * * [simplify]: Extracting #3: cost 0 inf + 895
34.829 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
34.829 * [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))))
34.829 * * * * [progress]: [ 77 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (sqrt k))))>
34.829 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
34.829 * * [simplify]: iters left: 4 (5 enodes)
34.832 * * [simplify]: iters left: 3 (20 enodes)
34.836 * * [simplify]: iters left: 2 (27 enodes)
34.841 * * [simplify]: iters left: 1 (29 enodes)
34.846 * * [simplify]: Extracting #0: cost 1 inf + 0
34.846 * * [simplify]: Extracting #1: cost 8 inf + 0
34.846 * * [simplify]: Extracting #2: cost 4 inf + 289
34.846 * * [simplify]: Extracting #3: cost 0 inf + 575
34.847 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
34.847 * [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))))
34.847 * * * * [progress]: [ 78 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) (sqrt k))))>
34.847 * [simplify]: Simplifying (/ (/ 1 2) 2)
34.847 * * [simplify]: iters left: 4 (4 enodes)
34.850 * * [simplify]: iters left: 3 (19 enodes)
34.855 * * [simplify]: iters left: 2 (23 enodes)
34.862 * * [simplify]: Extracting #0: cost 1 inf + 0
34.863 * * [simplify]: Extracting #1: cost 0 inf + 1
34.863 * [simplify]: Simplified to 1/4
34.863 * [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))))
34.863 * * * * [progress]: [ 79 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
34.863 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
34.863 * * [simplify]: iters left: 6 (6 enodes)
34.868 * * [simplify]: iters left: 5 (29 enodes)
34.879 * * [simplify]: iters left: 4 (44 enodes)
34.893 * * [simplify]: iters left: 3 (50 enodes)
34.909 * * [simplify]: iters left: 2 (57 enodes)
34.926 * * [simplify]: Extracting #0: cost 1 inf + 0
34.926 * * [simplify]: Extracting #1: cost 9 inf + 0
34.927 * * [simplify]: Extracting #2: cost 15 inf + 3
34.927 * * [simplify]: Extracting #3: cost 11 inf + 131
34.927 * * [simplify]: Extracting #4: cost 2 inf + 711
34.928 * * [simplify]: Extracting #5: cost 0 inf + 836
34.928 * [simplify]: Simplified to (- 1/4 (/ k 4))
34.928 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) (sqrt k))))
34.928 * * * * [progress]: [ 80 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)) (sqrt k))))>
34.929 * [simplify]: Simplifying (/ 1 2)
34.929 * * [simplify]: iters left: 2 (3 enodes)
34.932 * * [simplify]: iters left: 1 (12 enodes)
34.937 * * [simplify]: Extracting #0: cost 1 inf + 0
34.937 * * [simplify]: Extracting #1: cost 0 inf + 1
34.937 * [simplify]: Simplified to 1/2
34.937 * [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))))
34.937 * * * * [progress]: [ 81 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
34.937 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
34.938 * * [simplify]: iters left: 6 (8 enodes)
34.942 * * [simplify]: iters left: 5 (38 enodes)
34.953 * * [simplify]: iters left: 4 (66 enodes)
34.967 * * [simplify]: iters left: 3 (110 enodes)
34.997 * * [simplify]: iters left: 2 (200 enodes)
35.055 * * [simplify]: iters left: 1 (403 enodes)
35.230 * * [simplify]: Extracting #0: cost 1 inf + 0
35.230 * * [simplify]: Extracting #1: cost 26 inf + 0
35.231 * * [simplify]: Extracting #2: cost 100 inf + 2
35.232 * * [simplify]: Extracting #3: cost 164 inf + 10
35.233 * * [simplify]: Extracting #4: cost 163 inf + 641
35.235 * * [simplify]: Extracting #5: cost 72 inf + 12998
35.245 * * [simplify]: Extracting #6: cost 25 inf + 35040
35.253 * * [simplify]: Extracting #7: cost 0 inf + 54806
35.262 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
35.262 * [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))))
35.263 * * * * [progress]: [ 82 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt k))))>
35.263 * * * * [progress]: [ 83 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
35.263 * * * * [progress]: [ 84 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
35.263 * * * * [progress]: [ 85 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
35.263 * * * * [progress]: [ 86 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
35.263 * * * * [progress]: [ 87 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
35.263 * * * * [progress]: [ 88 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
35.263 * * * * [progress]: [ 89 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt k))))>
35.263 * * * * [progress]: [ 90 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
35.263 * * * * [progress]: [ 91 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
35.263 * * * * [progress]: [ 92 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
35.263 * * * * [progress]: [ 93 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
35.264 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
35.264 * * [simplify]: iters left: 6 (14 enodes)
35.273 * * [simplify]: iters left: 5 (60 enodes)
35.294 * * [simplify]: iters left: 4 (108 enodes)
35.318 * * [simplify]: iters left: 3 (255 enodes)
35.439 * * [simplify]: Extracting #0: cost 1 inf + 0
35.439 * * [simplify]: Extracting #1: cost 34 inf + 0
35.440 * * [simplify]: Extracting #2: cost 122 inf + 73
35.442 * * [simplify]: Extracting #3: cost 134 inf + 2876
35.447 * * [simplify]: Extracting #4: cost 49 inf + 20493
35.460 * * [simplify]: Extracting #5: cost 4 inf + 30853
35.477 * * [simplify]: Extracting #6: cost 0 inf + 31808
35.491 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))
35.491 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
35.491 * * * * [progress]: [ 94 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
35.492 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
35.492 * * [simplify]: iters left: 6 (13 enodes)
35.501 * * [simplify]: iters left: 5 (58 enodes)
35.522 * * [simplify]: iters left: 4 (101 enodes)
35.559 * * [simplify]: iters left: 3 (211 enodes)
35.621 * * [simplify]: Extracting #0: cost 1 inf + 0
35.621 * * [simplify]: Extracting #1: cost 28 inf + 0
35.621 * * [simplify]: Extracting #2: cost 110 inf + 73
35.622 * * [simplify]: Extracting #3: cost 127 inf + 1744
35.624 * * [simplify]: Extracting #4: cost 73 inf + 10230
35.628 * * [simplify]: Extracting #5: cost 26 inf + 20266
35.634 * * [simplify]: Extracting #6: cost 6 inf + 24692
35.645 * * [simplify]: Extracting #7: cost 0 inf + 26084
35.652 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))
35.652 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
35.652 * * * * [progress]: [ 95 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
35.652 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
35.652 * * [simplify]: iters left: 6 (12 enodes)
35.657 * * [simplify]: iters left: 5 (57 enodes)
35.669 * * [simplify]: iters left: 4 (111 enodes)
35.706 * * [simplify]: iters left: 3 (214 enodes)
35.770 * * [simplify]: iters left: 2 (472 enodes)
35.943 * * [simplify]: Extracting #0: cost 1 inf + 0
35.943 * * [simplify]: Extracting #1: cost 40 inf + 0
35.943 * * [simplify]: Extracting #2: cost 158 inf + 4
35.944 * * [simplify]: Extracting #3: cost 193 inf + 1443
35.949 * * [simplify]: Extracting #4: cost 88 inf + 19136
35.958 * * [simplify]: Extracting #5: cost 7 inf + 36795
35.976 * * [simplify]: Extracting #6: cost 0 inf + 38243
35.993 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
35.993 * [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))))
35.993 * * * * [progress]: [ 96 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
35.993 * * * * [progress]: [ 97 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
35.993 * [simplify]: Simplifying (* n (* 2 PI))
35.994 * * [simplify]: iters left: 4 (5 enodes)
35.996 * * [simplify]: iters left: 3 (19 enodes)
36.000 * * [simplify]: iters left: 2 (27 enodes)
36.004 * * [simplify]: iters left: 1 (32 enodes)
36.009 * * [simplify]: Extracting #0: cost 1 inf + 0
36.009 * * [simplify]: Extracting #1: cost 8 inf + 0
36.009 * * [simplify]: Extracting #2: cost 7 inf + 45
36.009 * * [simplify]: Extracting #3: cost 0 inf + 421
36.009 * [simplify]: Simplified to (* (* PI 2) n)
36.009 * [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))))
36.009 * * * * [progress]: [ 98 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.009 * [simplify]: Simplifying (* n (* 2 PI))
36.009 * * [simplify]: iters left: 4 (5 enodes)
36.011 * * [simplify]: iters left: 3 (19 enodes)
36.014 * * [simplify]: iters left: 2 (27 enodes)
36.021 * * [simplify]: iters left: 1 (32 enodes)
36.030 * * [simplify]: Extracting #0: cost 1 inf + 0
36.030 * * [simplify]: Extracting #1: cost 8 inf + 0
36.030 * * [simplify]: Extracting #2: cost 7 inf + 45
36.031 * * [simplify]: Extracting #3: cost 0 inf + 421
36.031 * [simplify]: Simplified to (* (* PI 2) n)
36.031 * [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))))
36.031 * * * * [progress]: [ 99 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.031 * [simplify]: Simplifying (* n (* 2 PI))
36.032 * * [simplify]: iters left: 4 (5 enodes)
36.035 * * [simplify]: iters left: 3 (19 enodes)
36.041 * * [simplify]: iters left: 2 (27 enodes)
36.050 * * [simplify]: iters left: 1 (32 enodes)
36.059 * * [simplify]: Extracting #0: cost 1 inf + 0
36.059 * * [simplify]: Extracting #1: cost 8 inf + 0
36.059 * * [simplify]: Extracting #2: cost 7 inf + 45
36.059 * * [simplify]: Extracting #3: cost 0 inf + 421
36.060 * [simplify]: Simplified to (* (* PI 2) n)
36.060 * [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))))
36.060 * * * * [progress]: [ 100 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.060 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
36.060 * * [simplify]: iters left: 5 (9 enodes)
36.066 * * [simplify]: iters left: 4 (37 enodes)
36.078 * * [simplify]: iters left: 3 (57 enodes)
36.098 * * [simplify]: iters left: 2 (93 enodes)
36.134 * * [simplify]: iters left: 1 (170 enodes)
36.182 * * [simplify]: Extracting #0: cost 1 inf + 0
36.182 * * [simplify]: Extracting #1: cost 13 inf + 0
36.182 * * [simplify]: Extracting #2: cost 59 inf + 1
36.183 * * [simplify]: Extracting #3: cost 78 inf + 176
36.184 * * [simplify]: Extracting #4: cost 40 inf + 3875
36.186 * * [simplify]: Extracting #5: cost 7 inf + 16988
36.189 * * [simplify]: Extracting #6: cost 0 inf + 20577
36.192 * * [simplify]: Extracting #7: cost 0 inf + 20336
36.195 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
36.195 * [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))))
36.195 * * * * [progress]: [ 101 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.195 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
36.195 * * [simplify]: iters left: 6 (7 enodes)
36.198 * * [simplify]: iters left: 5 (32 enodes)
36.205 * * [simplify]: iters left: 4 (47 enodes)
36.215 * * [simplify]: iters left: 3 (53 enodes)
36.224 * * [simplify]: iters left: 2 (60 enodes)
36.234 * * [simplify]: Extracting #0: cost 1 inf + 0
36.234 * * [simplify]: Extracting #1: cost 3 inf + 0
36.234 * * [simplify]: Extracting #2: cost 11 inf + 0
36.234 * * [simplify]: Extracting #3: cost 17 inf + 3
36.234 * * [simplify]: Extracting #4: cost 14 inf + 129
36.234 * * [simplify]: Extracting #5: cost 3 inf + 794
36.235 * * [simplify]: Extracting #6: cost 0 inf + 1162
36.235 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
36.235 * [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))))
36.235 * * * * [progress]: [ 102 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.235 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
36.235 * * [simplify]: iters left: 6 (7 enodes)
36.238 * * [simplify]: iters left: 5 (32 enodes)
36.244 * * [simplify]: iters left: 4 (47 enodes)
36.253 * * [simplify]: iters left: 3 (53 enodes)
36.270 * * [simplify]: iters left: 2 (60 enodes)
36.288 * * [simplify]: Extracting #0: cost 1 inf + 0
36.288 * * [simplify]: Extracting #1: cost 3 inf + 0
36.288 * * [simplify]: Extracting #2: cost 11 inf + 0
36.288 * * [simplify]: Extracting #3: cost 17 inf + 3
36.288 * * [simplify]: Extracting #4: cost 14 inf + 129
36.288 * * [simplify]: Extracting #5: cost 3 inf + 794
36.289 * * [simplify]: Extracting #6: cost 0 inf + 1082
36.289 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
36.289 * [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))))
36.290 * * * * [progress]: [ 103 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.290 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
36.290 * * [simplify]: iters left: 6 (8 enodes)
36.295 * * [simplify]: iters left: 5 (32 enodes)
36.305 * * [simplify]: iters left: 4 (41 enodes)
36.312 * * [simplify]: Extracting #0: cost 1 inf + 0
36.312 * * [simplify]: Extracting #1: cost 4 inf + 0
36.312 * * [simplify]: Extracting #2: cost 8 inf + 0
36.313 * * [simplify]: Extracting #3: cost 9 inf + 163
36.313 * * [simplify]: Extracting #4: cost 13 inf + 164
36.313 * * [simplify]: Extracting #5: cost 10 inf + 249
36.313 * * [simplify]: Extracting #6: cost 3 inf + 986
36.313 * * [simplify]: Extracting #7: cost 0 inf + 1474
36.313 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
36.313 * [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))))
36.313 * * * * [progress]: [ 104 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.314 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
36.314 * * [simplify]: iters left: 6 (8 enodes)
36.317 * * [simplify]: iters left: 5 (32 enodes)
36.325 * * [simplify]: iters left: 4 (41 enodes)
36.332 * * [simplify]: Extracting #0: cost 1 inf + 0
36.332 * * [simplify]: Extracting #1: cost 4 inf + 0
36.332 * * [simplify]: Extracting #2: cost 8 inf + 0
36.332 * * [simplify]: Extracting #3: cost 9 inf + 83
36.332 * * [simplify]: Extracting #4: cost 13 inf + 84
36.332 * * [simplify]: Extracting #5: cost 10 inf + 169
36.333 * * [simplify]: Extracting #6: cost 3 inf + 866
36.333 * * [simplify]: Extracting #7: cost 0 inf + 1314
36.333 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
36.333 * [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))))
36.333 * * * * [progress]: [ 105 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.333 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
36.333 * * [simplify]: iters left: 6 (7 enodes)
36.336 * * [simplify]: iters left: 5 (29 enodes)
36.341 * * [simplify]: iters left: 4 (38 enodes)
36.348 * * [simplify]: Extracting #0: cost 1 inf + 0
36.348 * * [simplify]: Extracting #1: cost 4 inf + 0
36.348 * * [simplify]: Extracting #2: cost 5 inf + 1
36.348 * * [simplify]: Extracting #3: cost 9 inf + 1
36.348 * * [simplify]: Extracting #4: cost 13 inf + 2
36.348 * * [simplify]: Extracting #5: cost 12 inf + 4
36.349 * * [simplify]: Extracting #6: cost 2 inf + 746
36.349 * * [simplify]: Extracting #7: cost 0 inf + 1152
36.350 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
36.350 * [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))))
36.350 * * * * [progress]: [ 106 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.350 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
36.350 * * [simplify]: iters left: 6 (8 enodes)
36.355 * * [simplify]: iters left: 5 (32 enodes)
36.367 * * [simplify]: iters left: 4 (41 enodes)
36.381 * * [simplify]: Extracting #0: cost 1 inf + 0
36.382 * * [simplify]: Extracting #1: cost 4 inf + 0
36.382 * * [simplify]: Extracting #2: cost 8 inf + 0
36.382 * * [simplify]: Extracting #3: cost 9 inf + 163
36.382 * * [simplify]: Extracting #4: cost 13 inf + 164
36.382 * * [simplify]: Extracting #5: cost 10 inf + 249
36.382 * * [simplify]: Extracting #6: cost 3 inf + 906
36.383 * * [simplify]: Extracting #7: cost 0 inf + 1314
36.383 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
36.383 * [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))))
36.384 * * * * [progress]: [ 107 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.384 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
36.384 * * [simplify]: iters left: 6 (8 enodes)
36.389 * * [simplify]: iters left: 5 (32 enodes)
36.401 * * [simplify]: iters left: 4 (41 enodes)
36.414 * * [simplify]: Extracting #0: cost 1 inf + 0
36.414 * * [simplify]: Extracting #1: cost 4 inf + 0
36.414 * * [simplify]: Extracting #2: cost 8 inf + 0
36.414 * * [simplify]: Extracting #3: cost 9 inf + 83
36.414 * * [simplify]: Extracting #4: cost 13 inf + 84
36.415 * * [simplify]: Extracting #5: cost 10 inf + 169
36.415 * * [simplify]: Extracting #6: cost 3 inf + 786
36.415 * * [simplify]: Extracting #7: cost 0 inf + 1154
36.416 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
36.416 * [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))))
36.416 * * * * [progress]: [ 108 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.416 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
36.417 * * [simplify]: iters left: 6 (7 enodes)
36.421 * * [simplify]: iters left: 5 (29 enodes)
36.432 * * [simplify]: iters left: 4 (38 enodes)
36.443 * * [simplify]: Extracting #0: cost 1 inf + 0
36.443 * * [simplify]: Extracting #1: cost 4 inf + 0
36.443 * * [simplify]: Extracting #2: cost 5 inf + 1
36.444 * * [simplify]: Extracting #3: cost 9 inf + 1
36.444 * * [simplify]: Extracting #4: cost 13 inf + 2
36.444 * * [simplify]: Extracting #5: cost 12 inf + 4
36.444 * * [simplify]: Extracting #6: cost 2 inf + 666
36.444 * * [simplify]: Extracting #7: cost 0 inf + 992
36.445 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
36.445 * [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))))
36.445 * * * * [progress]: [ 109 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.445 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
36.445 * * [simplify]: iters left: 6 (8 enodes)
36.450 * * [simplify]: iters left: 5 (30 enodes)
36.461 * * [simplify]: iters left: 4 (37 enodes)
36.475 * * [simplify]: Extracting #0: cost 1 inf + 0
36.476 * * [simplify]: Extracting #1: cost 6 inf + 0
36.476 * * [simplify]: Extracting #2: cost 12 inf + 0
36.476 * * [simplify]: Extracting #3: cost 11 inf + 405
36.476 * * [simplify]: Extracting #4: cost 10 inf + 407
36.476 * * [simplify]: Extracting #5: cost 4 inf + 1220
36.477 * * [simplify]: Extracting #6: cost 0 inf + 1869
36.477 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
36.477 * [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))))
36.477 * * * * [progress]: [ 110 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.478 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
36.478 * * [simplify]: iters left: 6 (9 enodes)
36.484 * * [simplify]: iters left: 5 (33 enodes)
36.495 * * [simplify]: iters left: 4 (43 enodes)
36.510 * * [simplify]: iters left: 3 (45 enodes)
36.525 * * [simplify]: Extracting #0: cost 1 inf + 0
36.525 * * [simplify]: Extracting #1: cost 8 inf + 0
36.525 * * [simplify]: Extracting #2: cost 16 inf + 0
36.525 * * [simplify]: Extracting #3: cost 16 inf + 284
36.525 * * [simplify]: Extracting #4: cost 11 inf + 610
36.525 * * [simplify]: Extracting #5: cost 8 inf + 815
36.526 * * [simplify]: Extracting #6: cost 0 inf + 2517
36.527 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
36.527 * [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))))
36.527 * * * * [progress]: [ 111 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.527 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
36.527 * * [simplify]: iters left: 6 (8 enodes)
36.533 * * [simplify]: iters left: 5 (30 enodes)
36.544 * * [simplify]: iters left: 4 (40 enodes)
36.555 * * [simplify]: iters left: 3 (42 enodes)
36.562 * * [simplify]: Extracting #0: cost 1 inf + 0
36.562 * * [simplify]: Extracting #1: cost 8 inf + 0
36.562 * * [simplify]: Extracting #2: cost 12 inf + 82
36.562 * * [simplify]: Extracting #3: cost 13 inf + 405
36.562 * * [simplify]: Extracting #4: cost 12 inf + 407
36.563 * * [simplify]: Extracting #5: cost 5 inf + 1383
36.563 * * [simplify]: Extracting #6: cost 0 inf + 2195
36.563 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
36.563 * [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))))
36.563 * * * * [progress]: [ 112 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.564 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
36.564 * * [simplify]: iters left: 6 (9 enodes)
36.567 * * [simplify]: iters left: 5 (33 enodes)
36.574 * * [simplify]: iters left: 4 (43 enodes)
36.583 * * [simplify]: iters left: 3 (45 enodes)
36.597 * * [simplify]: Extracting #0: cost 1 inf + 0
36.598 * * [simplify]: Extracting #1: cost 8 inf + 0
36.598 * * [simplify]: Extracting #2: cost 16 inf + 0
36.598 * * [simplify]: Extracting #3: cost 16 inf + 284
36.598 * * [simplify]: Extracting #4: cost 11 inf + 610
36.598 * * [simplify]: Extracting #5: cost 8 inf + 815
36.599 * * [simplify]: Extracting #6: cost 0 inf + 2517
36.600 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
36.600 * [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))))
36.600 * * * * [progress]: [ 113 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.601 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
36.601 * * [simplify]: iters left: 6 (8 enodes)
36.606 * * [simplify]: iters left: 5 (30 enodes)
36.617 * * [simplify]: iters left: 4 (35 enodes)
36.623 * * [simplify]: Extracting #0: cost 1 inf + 0
36.624 * * [simplify]: Extracting #1: cost 6 inf + 0
36.624 * * [simplify]: Extracting #2: cost 8 inf + 42
36.624 * * [simplify]: Extracting #3: cost 11 inf + 83
36.624 * * [simplify]: Extracting #4: cost 10 inf + 85
36.624 * * [simplify]: Extracting #5: cost 4 inf + 658
36.624 * * [simplify]: Extracting #6: cost 0 inf + 1227
36.624 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
36.624 * [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))))
36.624 * * * * [progress]: [ 114 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.625 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
36.625 * * [simplify]: iters left: 6 (8 enodes)
36.628 * * [simplify]: iters left: 5 (30 enodes)
36.634 * * [simplify]: iters left: 4 (40 enodes)
36.641 * * [simplify]: iters left: 3 (42 enodes)
36.652 * * [simplify]: Extracting #0: cost 1 inf + 0
36.652 * * [simplify]: Extracting #1: cost 8 inf + 0
36.652 * * [simplify]: Extracting #2: cost 12 inf + 42
36.652 * * [simplify]: Extracting #3: cost 13 inf + 245
36.652 * * [simplify]: Extracting #4: cost 12 inf + 247
36.653 * * [simplify]: Extracting #5: cost 5 inf + 1143
36.653 * * [simplify]: Extracting #6: cost 0 inf + 1875
36.653 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
36.653 * [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))))
36.653 * * * * [progress]: [ 115 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.654 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
36.654 * * [simplify]: iters left: 6 (8 enodes)
36.656 * * [simplify]: iters left: 5 (30 enodes)
36.662 * * [simplify]: iters left: 4 (40 enodes)
36.669 * * [simplify]: iters left: 3 (42 enodes)
36.677 * * [simplify]: Extracting #0: cost 1 inf + 0
36.677 * * [simplify]: Extracting #1: cost 8 inf + 0
36.677 * * [simplify]: Extracting #2: cost 11 inf + 203
36.677 * * [simplify]: Extracting #3: cost 13 inf + 405
36.677 * * [simplify]: Extracting #4: cost 12 inf + 407
36.678 * * [simplify]: Extracting #5: cost 3 inf + 1789
36.678 * * [simplify]: Extracting #6: cost 0 inf + 2195
36.679 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
36.679 * [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))))
36.679 * * * * [progress]: [ 116 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.679 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
36.680 * * [simplify]: iters left: 6 (8 enodes)
36.684 * * [simplify]: iters left: 5 (30 enodes)
36.695 * * [simplify]: iters left: 4 (40 enodes)
36.704 * * [simplify]: iters left: 3 (42 enodes)
36.711 * * [simplify]: Extracting #0: cost 1 inf + 0
36.711 * * [simplify]: Extracting #1: cost 8 inf + 0
36.711 * * [simplify]: Extracting #2: cost 11 inf + 123
36.711 * * [simplify]: Extracting #3: cost 13 inf + 245
36.711 * * [simplify]: Extracting #4: cost 12 inf + 247
36.712 * * [simplify]: Extracting #5: cost 3 inf + 1509
36.712 * * [simplify]: Extracting #6: cost 0 inf + 1875
36.712 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
36.712 * [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))))
36.712 * * * * [progress]: [ 117 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.713 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
36.713 * * [simplify]: iters left: 6 (7 enodes)
36.715 * * [simplify]: iters left: 5 (28 enodes)
36.721 * * [simplify]: iters left: 4 (35 enodes)
36.729 * * [simplify]: Extracting #0: cost 1 inf + 0
36.729 * * [simplify]: Extracting #1: cost 6 inf + 0
36.729 * * [simplify]: Extracting #2: cost 7 inf + 2
36.729 * * [simplify]: Extracting #3: cost 11 inf + 2
36.729 * * [simplify]: Extracting #4: cost 9 inf + 45
36.730 * * [simplify]: Extracting #5: cost 4 inf + 455
36.730 * * [simplify]: Extracting #6: cost 0 inf + 1066
36.730 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
36.730 * [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))))
36.731 * * * * [progress]: [ 118 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.731 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
36.731 * * [simplify]: iters left: 6 (8 enodes)
36.736 * * [simplify]: iters left: 5 (30 enodes)
36.746 * * [simplify]: iters left: 4 (37 enodes)
36.759 * * [simplify]: Extracting #0: cost 1 inf + 0
36.759 * * [simplify]: Extracting #1: cost 6 inf + 0
36.759 * * [simplify]: Extracting #2: cost 12 inf + 0
36.759 * * [simplify]: Extracting #3: cost 11 inf + 405
36.760 * * [simplify]: Extracting #4: cost 10 inf + 407
36.760 * * [simplify]: Extracting #5: cost 4 inf + 1100
36.760 * * [simplify]: Extracting #6: cost 0 inf + 1629
36.761 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
36.761 * [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))))
36.761 * * * * [progress]: [ 119 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.761 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
36.762 * * [simplify]: iters left: 6 (9 enodes)
36.766 * * [simplify]: iters left: 5 (33 enodes)
36.772 * * [simplify]: iters left: 4 (43 enodes)
36.780 * * [simplify]: iters left: 3 (45 enodes)
36.788 * * [simplify]: Extracting #0: cost 1 inf + 0
36.788 * * [simplify]: Extracting #1: cost 8 inf + 0
36.788 * * [simplify]: Extracting #2: cost 16 inf + 0
36.788 * * [simplify]: Extracting #3: cost 16 inf + 284
36.788 * * [simplify]: Extracting #4: cost 11 inf + 610
36.789 * * [simplify]: Extracting #5: cost 8 inf + 775
36.789 * * [simplify]: Extracting #6: cost 0 inf + 2197
36.789 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
36.789 * [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))))
36.789 * * * * [progress]: [ 120 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.790 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
36.790 * * [simplify]: iters left: 6 (8 enodes)
36.792 * * [simplify]: iters left: 5 (30 enodes)
36.799 * * [simplify]: iters left: 4 (40 enodes)
36.810 * * [simplify]: iters left: 3 (42 enodes)
36.817 * * [simplify]: Extracting #0: cost 1 inf + 0
36.817 * * [simplify]: Extracting #1: cost 8 inf + 0
36.817 * * [simplify]: Extracting #2: cost 12 inf + 82
36.817 * * [simplify]: Extracting #3: cost 13 inf + 405
36.817 * * [simplify]: Extracting #4: cost 12 inf + 407
36.817 * * [simplify]: Extracting #5: cost 5 inf + 1223
36.818 * * [simplify]: Extracting #6: cost 0 inf + 1875
36.818 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
36.818 * [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))))
36.818 * * * * [progress]: [ 121 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.818 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
36.818 * * [simplify]: iters left: 6 (9 enodes)
36.822 * * [simplify]: iters left: 5 (33 enodes)
36.828 * * [simplify]: iters left: 4 (43 enodes)
36.838 * * [simplify]: iters left: 3 (45 enodes)
36.850 * * [simplify]: Extracting #0: cost 1 inf + 0
36.850 * * [simplify]: Extracting #1: cost 8 inf + 0
36.850 * * [simplify]: Extracting #2: cost 16 inf + 0
36.851 * * [simplify]: Extracting #3: cost 16 inf + 284
36.851 * * [simplify]: Extracting #4: cost 11 inf + 610
36.851 * * [simplify]: Extracting #5: cost 8 inf + 775
36.852 * * [simplify]: Extracting #6: cost 0 inf + 2197
36.852 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
36.852 * [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))))
36.852 * * * * [progress]: [ 122 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.852 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
36.852 * * [simplify]: iters left: 6 (8 enodes)
36.855 * * [simplify]: iters left: 5 (30 enodes)
36.861 * * [simplify]: iters left: 4 (35 enodes)
36.867 * * [simplify]: Extracting #0: cost 1 inf + 0
36.867 * * [simplify]: Extracting #1: cost 6 inf + 0
36.867 * * [simplify]: Extracting #2: cost 8 inf + 42
36.867 * * [simplify]: Extracting #3: cost 11 inf + 83
36.867 * * [simplify]: Extracting #4: cost 10 inf + 85
36.867 * * [simplify]: Extracting #5: cost 4 inf + 538
36.868 * * [simplify]: Extracting #6: cost 0 inf + 987
36.868 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
36.868 * [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))))
36.868 * * * * [progress]: [ 123 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.868 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
36.868 * * [simplify]: iters left: 6 (8 enodes)
36.871 * * [simplify]: iters left: 5 (30 enodes)
36.877 * * [simplify]: iters left: 4 (40 enodes)
36.883 * * [simplify]: iters left: 3 (42 enodes)
36.892 * * [simplify]: Extracting #0: cost 1 inf + 0
36.892 * * [simplify]: Extracting #1: cost 8 inf + 0
36.892 * * [simplify]: Extracting #2: cost 12 inf + 42
36.892 * * [simplify]: Extracting #3: cost 13 inf + 245
36.892 * * [simplify]: Extracting #4: cost 12 inf + 247
36.893 * * [simplify]: Extracting #5: cost 5 inf + 983
36.893 * * [simplify]: Extracting #6: cost 0 inf + 1555
36.894 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
36.894 * [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))))
36.894 * * * * [progress]: [ 124 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.894 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
36.895 * * [simplify]: iters left: 6 (8 enodes)
36.898 * * [simplify]: iters left: 5 (30 enodes)
36.903 * * [simplify]: iters left: 4 (40 enodes)
36.910 * * [simplify]: iters left: 3 (42 enodes)
36.917 * * [simplify]: Extracting #0: cost 1 inf + 0
36.917 * * [simplify]: Extracting #1: cost 8 inf + 0
36.917 * * [simplify]: Extracting #2: cost 11 inf + 203
36.917 * * [simplify]: Extracting #3: cost 13 inf + 405
36.917 * * [simplify]: Extracting #4: cost 12 inf + 407
36.917 * * [simplify]: Extracting #5: cost 3 inf + 1549
36.917 * * [simplify]: Extracting #6: cost 0 inf + 1875
36.918 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
36.918 * [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))))
36.918 * * * * [progress]: [ 125 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.918 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
36.918 * * [simplify]: iters left: 6 (8 enodes)
36.921 * * [simplify]: iters left: 5 (30 enodes)
36.930 * * [simplify]: iters left: 4 (40 enodes)
36.945 * * [simplify]: iters left: 3 (42 enodes)
36.957 * * [simplify]: Extracting #0: cost 1 inf + 0
36.957 * * [simplify]: Extracting #1: cost 8 inf + 0
36.957 * * [simplify]: Extracting #2: cost 11 inf + 123
36.957 * * [simplify]: Extracting #3: cost 13 inf + 245
36.957 * * [simplify]: Extracting #4: cost 12 inf + 247
36.958 * * [simplify]: Extracting #5: cost 3 inf + 1269
36.958 * * [simplify]: Extracting #6: cost 0 inf + 1555
36.958 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
36.958 * [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))))
36.958 * * * * [progress]: [ 126 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.958 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
36.959 * * [simplify]: iters left: 6 (7 enodes)
36.961 * * [simplify]: iters left: 5 (28 enodes)
36.966 * * [simplify]: iters left: 4 (35 enodes)
36.972 * * [simplify]: Extracting #0: cost 1 inf + 0
36.972 * * [simplify]: Extracting #1: cost 6 inf + 0
36.972 * * [simplify]: Extracting #2: cost 7 inf + 2
36.972 * * [simplify]: Extracting #3: cost 11 inf + 2
36.972 * * [simplify]: Extracting #4: cost 9 inf + 45
36.972 * * [simplify]: Extracting #5: cost 4 inf + 375
36.972 * * [simplify]: Extracting #6: cost 0 inf + 826
36.973 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
36.973 * [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))))
36.973 * * * * [progress]: [ 127 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
36.973 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
36.973 * * [simplify]: iters left: 6 (7 enodes)
36.976 * * [simplify]: iters left: 5 (30 enodes)
36.982 * * [simplify]: iters left: 4 (49 enodes)
36.992 * * [simplify]: iters left: 3 (59 enodes)
37.009 * * [simplify]: iters left: 2 (64 enodes)
37.028 * * [simplify]: Extracting #0: cost 1 inf + 0
37.028 * * [simplify]: Extracting #1: cost 9 inf + 0
37.028 * * [simplify]: Extracting #2: cost 23 inf + 0
37.028 * * [simplify]: Extracting #3: cost 24 inf + 3
37.028 * * [simplify]: Extracting #4: cost 15 inf + 980
37.029 * * [simplify]: Extracting #5: cost 1 inf + 3007
37.030 * * [simplify]: Extracting #6: cost 0 inf + 3169
37.031 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
37.031 * [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))))
37.031 * * * * [progress]: [ 128 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
37.032 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
37.032 * * [simplify]: iters left: 6 (8 enodes)
37.037 * * [simplify]: iters left: 5 (33 enodes)
37.049 * * [simplify]: iters left: 4 (55 enodes)
37.067 * * [simplify]: iters left: 3 (72 enodes)
37.084 * * [simplify]: iters left: 2 (84 enodes)
37.096 * * [simplify]: iters left: 1 (88 enodes)
37.109 * * [simplify]: Extracting #0: cost 1 inf + 0
37.109 * * [simplify]: Extracting #1: cost 11 inf + 0
37.109 * * [simplify]: Extracting #2: cost 30 inf + 0
37.110 * * [simplify]: Extracting #3: cost 33 inf + 84
37.110 * * [simplify]: Extracting #4: cost 12 inf + 2402
37.111 * * [simplify]: Extracting #5: cost 0 inf + 4469
37.111 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
37.111 * [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))))
37.112 * * * * [progress]: [ 129 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
37.112 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
37.112 * * [simplify]: iters left: 6 (7 enodes)
37.114 * * [simplify]: iters left: 5 (30 enodes)
37.120 * * [simplify]: iters left: 4 (52 enodes)
37.130 * * [simplify]: iters left: 3 (70 enodes)
37.141 * * [simplify]: iters left: 2 (81 enodes)
37.154 * * [simplify]: iters left: 1 (84 enodes)
37.168 * * [simplify]: Extracting #0: cost 1 inf + 0
37.168 * * [simplify]: Extracting #1: cost 11 inf + 0
37.169 * * [simplify]: Extracting #2: cost 25 inf + 203
37.169 * * [simplify]: Extracting #3: cost 25 inf + 530
37.169 * * [simplify]: Extracting #4: cost 4 inf + 2936
37.170 * * [simplify]: Extracting #5: cost 0 inf + 3504
37.170 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
37.170 * [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))))
37.170 * * * * [progress]: [ 130 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
37.171 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
37.171 * * [simplify]: iters left: 6 (8 enodes)
37.174 * * [simplify]: iters left: 5 (33 enodes)
37.185 * * [simplify]: iters left: 4 (55 enodes)
37.203 * * [simplify]: iters left: 3 (72 enodes)
37.225 * * [simplify]: iters left: 2 (84 enodes)
37.250 * * [simplify]: iters left: 1 (88 enodes)
37.274 * * [simplify]: Extracting #0: cost 1 inf + 0
37.274 * * [simplify]: Extracting #1: cost 11 inf + 0
37.274 * * [simplify]: Extracting #2: cost 30 inf + 0
37.275 * * [simplify]: Extracting #3: cost 33 inf + 44
37.275 * * [simplify]: Extracting #4: cost 12 inf + 2362
37.277 * * [simplify]: Extracting #5: cost 0 inf + 4469
37.278 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
37.278 * [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))))
37.278 * * * * [progress]: [ 131 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
37.279 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
37.279 * * [simplify]: iters left: 6 (7 enodes)
37.283 * * [simplify]: iters left: 5 (30 enodes)
37.295 * * [simplify]: iters left: 4 (48 enodes)
37.313 * * [simplify]: iters left: 3 (56 enodes)
37.329 * * [simplify]: Extracting #0: cost 1 inf + 0
37.329 * * [simplify]: Extracting #1: cost 8 inf + 0
37.329 * * [simplify]: Extracting #2: cost 15 inf + 43
37.330 * * [simplify]: Extracting #3: cost 16 inf + 86
37.330 * * [simplify]: Extracting #4: cost 5 inf + 911
37.331 * * [simplify]: Extracting #5: cost 1 inf + 1198
37.331 * * [simplify]: Extracting #6: cost 0 inf + 1320
37.332 * [simplify]: Simplified to (/ (- 1 k) 2)
37.332 * [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))))
37.332 * * * * [progress]: [ 132 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
37.333 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
37.333 * * [simplify]: iters left: 6 (7 enodes)
37.337 * * [simplify]: iters left: 5 (30 enodes)
37.348 * * [simplify]: iters left: 4 (52 enodes)
37.366 * * [simplify]: iters left: 3 (70 enodes)
37.387 * * [simplify]: iters left: 2 (81 enodes)
37.410 * * [simplify]: iters left: 1 (84 enodes)
37.433 * * [simplify]: Extracting #0: cost 1 inf + 0
37.434 * * [simplify]: Extracting #1: cost 11 inf + 0
37.434 * * [simplify]: Extracting #2: cost 25 inf + 123
37.434 * * [simplify]: Extracting #3: cost 25 inf + 330
37.435 * * [simplify]: Extracting #4: cost 4 inf + 2256
37.436 * * [simplify]: Extracting #5: cost 0 inf + 2704
37.437 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
37.437 * [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))))
37.437 * * * * [progress]: [ 133 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
37.438 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
37.438 * * [simplify]: iters left: 6 (7 enodes)
37.443 * * [simplify]: iters left: 5 (31 enodes)
37.455 * * [simplify]: iters left: 4 (51 enodes)
37.469 * * [simplify]: iters left: 3 (64 enodes)
37.480 * * [simplify]: iters left: 2 (77 enodes)
37.495 * * [simplify]: iters left: 1 (84 enodes)
37.519 * * [simplify]: Extracting #0: cost 1 inf + 0
37.519 * * [simplify]: Extracting #1: cost 11 inf + 0
37.519 * * [simplify]: Extracting #2: cost 26 inf + 82
37.519 * * [simplify]: Extracting #3: cost 24 inf + 692
37.520 * * [simplify]: Extracting #4: cost 3 inf + 3057
37.521 * * [simplify]: Extracting #5: cost 0 inf + 3504
37.523 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
37.523 * [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))))
37.523 * * * * [progress]: [ 134 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
37.523 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
37.523 * * [simplify]: iters left: 6 (7 enodes)
37.529 * * [simplify]: iters left: 5 (31 enodes)
37.536 * * [simplify]: iters left: 4 (51 enodes)
37.546 * * [simplify]: iters left: 3 (64 enodes)
37.556 * * [simplify]: iters left: 2 (77 enodes)
37.573 * * [simplify]: iters left: 1 (84 enodes)
37.591 * * [simplify]: Extracting #0: cost 1 inf + 0
37.591 * * [simplify]: Extracting #1: cost 11 inf + 0
37.591 * * [simplify]: Extracting #2: cost 26 inf + 42
37.591 * * [simplify]: Extracting #3: cost 24 inf + 452
37.592 * * [simplify]: Extracting #4: cost 3 inf + 2337
37.592 * * [simplify]: Extracting #5: cost 0 inf + 2704
37.593 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
37.593 * [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))))
37.593 * * * * [progress]: [ 135 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
37.593 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
37.593 * * [simplify]: iters left: 6 (6 enodes)
37.597 * * [simplify]: iters left: 5 (29 enodes)
37.605 * * [simplify]: iters left: 4 (44 enodes)
37.620 * * [simplify]: iters left: 3 (50 enodes)
37.636 * * [simplify]: iters left: 2 (57 enodes)
37.653 * * [simplify]: Extracting #0: cost 1 inf + 0
37.653 * * [simplify]: Extracting #1: cost 9 inf + 0
37.653 * * [simplify]: Extracting #2: cost 15 inf + 3
37.653 * * [simplify]: Extracting #3: cost 11 inf + 131
37.654 * * [simplify]: Extracting #4: cost 2 inf + 711
37.654 * * [simplify]: Extracting #5: cost 0 inf + 836
37.655 * [simplify]: Simplified to (- 1/4 (/ k 4))
37.655 * [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))))
37.655 * * * * [progress]: [ 136 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
37.655 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
37.655 * * [simplify]: iters left: 6 (9 enodes)
37.661 * * [simplify]: iters left: 5 (36 enodes)
37.674 * * [simplify]: iters left: 4 (58 enodes)
37.687 * * [simplify]: iters left: 3 (71 enodes)
37.698 * * [simplify]: iters left: 2 (79 enodes)
37.714 * * [simplify]: iters left: 1 (80 enodes)
37.735 * * [simplify]: Extracting #0: cost 1 inf + 0
37.735 * * [simplify]: Extracting #1: cost 9 inf + 0
37.736 * * [simplify]: Extracting #2: cost 24 inf + 0
37.736 * * [simplify]: Extracting #3: cost 29 inf + 2
37.736 * * [simplify]: Extracting #4: cost 10 inf + 2233
37.738 * * [simplify]: Extracting #5: cost 1 inf + 4013
37.739 * * [simplify]: Extracting #6: cost 0 inf + 4135
37.740 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
37.740 * [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))))
37.741 * * * * [progress]: [ 137 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
37.741 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
37.741 * * [simplify]: iters left: 6 (10 enodes)
37.748 * * [simplify]: iters left: 5 (39 enodes)
37.755 * * [simplify]: iters left: 4 (64 enodes)
37.766 * * [simplify]: iters left: 3 (86 enodes)
37.781 * * [simplify]: iters left: 2 (99 enodes)
37.803 * * [simplify]: iters left: 1 (104 enodes)
37.818 * * [simplify]: Extracting #0: cost 1 inf + 0
37.818 * * [simplify]: Extracting #1: cost 11 inf + 0
37.818 * * [simplify]: Extracting #2: cost 31 inf + 0
37.818 * * [simplify]: Extracting #3: cost 39 inf + 2
37.818 * * [simplify]: Extracting #4: cost 22 inf + 1871
37.819 * * [simplify]: Extracting #5: cost 4 inf + 4865
37.822 * * [simplify]: Extracting #6: cost 0 inf + 5675
37.823 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
37.823 * [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))))
37.823 * * * * [progress]: [ 138 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
37.824 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
37.824 * * [simplify]: iters left: 6 (9 enodes)
37.830 * * [simplify]: iters left: 5 (36 enodes)
37.843 * * [simplify]: iters left: 4 (61 enodes)
37.863 * * [simplify]: iters left: 3 (84 enodes)
37.888 * * [simplify]: iters left: 2 (96 enodes)
37.905 * * [simplify]: iters left: 1 (100 enodes)
37.919 * * [simplify]: Extracting #0: cost 1 inf + 0
37.919 * * [simplify]: Extracting #1: cost 11 inf + 0
37.919 * * [simplify]: Extracting #2: cost 27 inf + 82
37.920 * * [simplify]: Extracting #3: cost 29 inf + 651
37.920 * * [simplify]: Extracting #4: cost 12 inf + 2763
37.921 * * [simplify]: Extracting #5: cost 1 inf + 4587
37.921 * * [simplify]: Extracting #6: cost 0 inf + 4710
37.922 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
37.922 * [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))))
37.922 * * * * [progress]: [ 139 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
37.923 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
37.923 * * [simplify]: iters left: 6 (10 enodes)
37.926 * * [simplify]: iters left: 5 (39 enodes)
37.934 * * [simplify]: iters left: 4 (64 enodes)
37.947 * * [simplify]: iters left: 3 (86 enodes)
37.971 * * [simplify]: iters left: 2 (99 enodes)
37.997 * * [simplify]: iters left: 1 (104 enodes)
38.017 * * [simplify]: Extracting #0: cost 1 inf + 0
38.017 * * [simplify]: Extracting #1: cost 11 inf + 0
38.017 * * [simplify]: Extracting #2: cost 31 inf + 0
38.017 * * [simplify]: Extracting #3: cost 39 inf + 2
38.017 * * [simplify]: Extracting #4: cost 22 inf + 1831
38.018 * * [simplify]: Extracting #5: cost 4 inf + 4785
38.019 * * [simplify]: Extracting #6: cost 0 inf + 5595
38.020 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
38.020 * [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))))
38.020 * * * * [progress]: [ 140 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
38.020 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
38.020 * * [simplify]: iters left: 6 (9 enodes)
38.024 * * [simplify]: iters left: 5 (36 enodes)
38.031 * * [simplify]: iters left: 4 (57 enodes)
38.041 * * [simplify]: iters left: 3 (73 enodes)
38.051 * * [simplify]: iters left: 2 (80 enodes)
38.069 * * [simplify]: iters left: 1 (81 enodes)
38.089 * * [simplify]: Extracting #0: cost 1 inf + 0
38.089 * * [simplify]: Extracting #1: cost 9 inf + 0
38.089 * * [simplify]: Extracting #2: cost 18 inf + 43
38.089 * * [simplify]: Extracting #3: cost 23 inf + 85
38.090 * * [simplify]: Extracting #4: cost 9 inf + 1271
38.090 * * [simplify]: Extracting #5: cost 0 inf + 2370
38.091 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
38.092 * [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))))
38.092 * * * * [progress]: [ 141 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
38.092 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
38.092 * * [simplify]: iters left: 6 (9 enodes)
38.098 * * [simplify]: iters left: 5 (36 enodes)
38.110 * * [simplify]: iters left: 4 (61 enodes)
38.130 * * [simplify]: iters left: 3 (84 enodes)
38.154 * * [simplify]: iters left: 2 (96 enodes)
38.179 * * [simplify]: iters left: 1 (100 enodes)
38.207 * * [simplify]: Extracting #0: cost 1 inf + 0
38.207 * * [simplify]: Extracting #1: cost 11 inf + 0
38.207 * * [simplify]: Extracting #2: cost 27 inf + 42
38.207 * * [simplify]: Extracting #3: cost 29 inf + 411
38.211 * * [simplify]: Extracting #4: cost 12 inf + 2163
38.212 * * [simplify]: Extracting #5: cost 1 inf + 3707
38.214 * * [simplify]: Extracting #6: cost 0 inf + 3830
38.215 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
38.215 * [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))))
38.216 * * * * [progress]: [ 142 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
38.216 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
38.216 * * [simplify]: iters left: 6 (9 enodes)
38.220 * * [simplify]: iters left: 5 (36 enodes)
38.228 * * [simplify]: iters left: 4 (62 enodes)
38.238 * * [simplify]: iters left: 3 (78 enodes)
38.256 * * [simplify]: iters left: 2 (90 enodes)
38.280 * * [simplify]: iters left: 1 (94 enodes)
38.294 * * [simplify]: Extracting #0: cost 1 inf + 0
38.294 * * [simplify]: Extracting #1: cost 11 inf + 0
38.295 * * [simplify]: Extracting #2: cost 27 inf + 1
38.295 * * [simplify]: Extracting #3: cost 29 inf + 409
38.295 * * [simplify]: Extracting #4: cost 12 inf + 2359
38.296 * * [simplify]: Extracting #5: cost 2 inf + 4022
38.296 * * [simplify]: Extracting #6: cost 0 inf + 4466
38.297 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
38.297 * [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))))
38.297 * * * * [progress]: [ 143 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
38.297 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
38.298 * * [simplify]: iters left: 6 (9 enodes)
38.301 * * [simplify]: iters left: 5 (36 enodes)
38.309 * * [simplify]: iters left: 4 (62 enodes)
38.322 * * [simplify]: iters left: 3 (78 enodes)
38.336 * * [simplify]: iters left: 2 (90 enodes)
38.361 * * [simplify]: iters left: 1 (94 enodes)
38.385 * * [simplify]: Extracting #0: cost 1 inf + 0
38.385 * * [simplify]: Extracting #1: cost 11 inf + 0
38.385 * * [simplify]: Extracting #2: cost 27 inf + 1
38.386 * * [simplify]: Extracting #3: cost 29 inf + 249
38.386 * * [simplify]: Extracting #4: cost 12 inf + 1879
38.387 * * [simplify]: Extracting #5: cost 2 inf + 3302
38.389 * * [simplify]: Extracting #6: cost 0 inf + 3666
38.390 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
38.390 * [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))))
38.391 * * * * [progress]: [ 144 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
38.391 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
38.391 * * [simplify]: iters left: 6 (8 enodes)
38.397 * * [simplify]: iters left: 5 (34 enodes)
38.410 * * [simplify]: iters left: 4 (58 enodes)
38.427 * * [simplify]: iters left: 3 (65 enodes)
38.437 * * [simplify]: Extracting #0: cost 1 inf + 0
38.437 * * [simplify]: Extracting #1: cost 8 inf + 0
38.437 * * [simplify]: Extracting #2: cost 14 inf + 3
38.437 * * [simplify]: Extracting #3: cost 17 inf + 5
38.437 * * [simplify]: Extracting #4: cost 12 inf + 292
38.438 * * [simplify]: Extracting #5: cost 1 inf + 1355
38.438 * * [simplify]: Extracting #6: cost 0 inf + 1478
38.438 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
38.438 * [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))))
38.438 * * * * [progress]: [ 145 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
38.439 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
38.439 * * [simplify]: iters left: 6 (8 enodes)
38.442 * * [simplify]: iters left: 5 (33 enodes)
38.448 * * [simplify]: iters left: 4 (52 enodes)
38.465 * * [simplify]: iters left: 3 (62 enodes)
38.479 * * [simplify]: iters left: 2 (67 enodes)
38.489 * * [simplify]: Extracting #0: cost 1 inf + 0
38.489 * * [simplify]: Extracting #1: cost 9 inf + 0
38.489 * * [simplify]: Extracting #2: cost 23 inf + 0
38.489 * * [simplify]: Extracting #3: cost 24 inf + 285
38.490 * * [simplify]: Extracting #4: cost 18 inf + 975
38.490 * * [simplify]: Extracting #5: cost 7 inf + 2516
38.490 * * [simplify]: Extracting #6: cost 0 inf + 3891
38.491 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
38.491 * [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))))
38.491 * * * * [progress]: [ 146 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
38.492 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
38.492 * * [simplify]: iters left: 6 (9 enodes)
38.495 * * [simplify]: iters left: 5 (36 enodes)
38.504 * * [simplify]: iters left: 4 (58 enodes)
38.520 * * [simplify]: iters left: 3 (75 enodes)
38.533 * * [simplify]: iters left: 2 (87 enodes)
38.548 * * [simplify]: iters left: 1 (91 enodes)
38.570 * * [simplify]: Extracting #0: cost 1 inf + 0
38.570 * * [simplify]: Extracting #1: cost 11 inf + 0
38.570 * * [simplify]: Extracting #2: cost 30 inf + 0
38.571 * * [simplify]: Extracting #3: cost 36 inf + 83
38.571 * * [simplify]: Extracting #4: cost 30 inf + 451
38.571 * * [simplify]: Extracting #5: cost 10 inf + 3649
38.572 * * [simplify]: Extracting #6: cost 0 inf + 5431
38.573 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
38.573 * [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))))
38.573 * * * * [progress]: [ 147 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
38.573 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
38.573 * * [simplify]: iters left: 6 (8 enodes)
38.577 * * [simplify]: iters left: 5 (33 enodes)
38.583 * * [simplify]: iters left: 4 (55 enodes)
38.598 * * [simplify]: iters left: 3 (73 enodes)
38.613 * * [simplify]: iters left: 2 (84 enodes)
38.626 * * [simplify]: iters left: 1 (87 enodes)
38.645 * * [simplify]: Extracting #0: cost 1 inf + 0
38.645 * * [simplify]: Extracting #1: cost 11 inf + 0
38.645 * * [simplify]: Extracting #2: cost 25 inf + 203
38.645 * * [simplify]: Extracting #3: cost 29 inf + 407
38.646 * * [simplify]: Extracting #4: cost 24 inf + 896
38.647 * * [simplify]: Extracting #5: cost 9 inf + 2805
38.648 * * [simplify]: Extracting #6: cost 0 inf + 4466
38.649 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
38.649 * [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))))
38.650 * * * * [progress]: [ 148 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
38.650 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
38.650 * * [simplify]: iters left: 6 (9 enodes)
38.656 * * [simplify]: iters left: 5 (36 enodes)
38.670 * * [simplify]: iters left: 4 (58 enodes)
38.684 * * [simplify]: iters left: 3 (75 enodes)
38.697 * * [simplify]: iters left: 2 (87 enodes)
38.722 * * [simplify]: iters left: 1 (91 enodes)
38.748 * * [simplify]: Extracting #0: cost 1 inf + 0
38.748 * * [simplify]: Extracting #1: cost 11 inf + 0
38.748 * * [simplify]: Extracting #2: cost 30 inf + 0
38.748 * * [simplify]: Extracting #3: cost 36 inf + 43
38.749 * * [simplify]: Extracting #4: cost 30 inf + 451
38.749 * * [simplify]: Extracting #5: cost 10 inf + 3769
38.751 * * [simplify]: Extracting #6: cost 0 inf + 5431
38.753 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
38.753 * [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))))
38.753 * * * * [progress]: [ 149 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
38.754 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
38.754 * * [simplify]: iters left: 6 (8 enodes)
38.759 * * [simplify]: iters left: 5 (33 enodes)
38.772 * * [simplify]: iters left: 4 (51 enodes)
38.789 * * [simplify]: iters left: 3 (59 enodes)
38.798 * * [simplify]: Extracting #0: cost 1 inf + 0
38.798 * * [simplify]: Extracting #1: cost 8 inf + 0
38.798 * * [simplify]: Extracting #2: cost 15 inf + 43
38.798 * * [simplify]: Extracting #3: cost 19 inf + 85
38.798 * * [simplify]: Extracting #4: cost 16 inf + 250
38.798 * * [simplify]: Extracting #5: cost 5 inf + 1311
38.799 * * [simplify]: Extracting #6: cost 0 inf + 1962
38.799 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
38.799 * [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))))
38.799 * * * * [progress]: [ 150 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
38.800 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
38.800 * * [simplify]: iters left: 6 (8 enodes)
38.803 * * [simplify]: iters left: 5 (33 enodes)
38.812 * * [simplify]: iters left: 4 (55 enodes)
38.824 * * [simplify]: iters left: 3 (73 enodes)
38.846 * * [simplify]: iters left: 2 (84 enodes)
38.871 * * [simplify]: iters left: 1 (87 enodes)
38.895 * * [simplify]: Extracting #0: cost 1 inf + 0
38.895 * * [simplify]: Extracting #1: cost 11 inf + 0
38.895 * * [simplify]: Extracting #2: cost 25 inf + 123
38.895 * * [simplify]: Extracting #3: cost 29 inf + 247
38.896 * * [simplify]: Extracting #4: cost 24 inf + 576
38.897 * * [simplify]: Extracting #5: cost 9 inf + 2245
38.898 * * [simplify]: Extracting #6: cost 0 inf + 3666
38.899 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
38.899 * [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))))
38.900 * * * * [progress]: [ 151 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
38.900 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
38.900 * * [simplify]: iters left: 6 (8 enodes)
38.906 * * [simplify]: iters left: 5 (34 enodes)
38.919 * * [simplify]: iters left: 4 (54 enodes)
38.933 * * [simplify]: iters left: 3 (67 enodes)
38.944 * * [simplify]: iters left: 2 (80 enodes)
38.963 * * [simplify]: iters left: 1 (87 enodes)
38.982 * * [simplify]: Extracting #0: cost 1 inf + 0
38.982 * * [simplify]: Extracting #1: cost 11 inf + 0
38.983 * * [simplify]: Extracting #2: cost 25 inf + 203
38.983 * * [simplify]: Extracting #3: cost 26 inf + 773
38.983 * * [simplify]: Extracting #4: cost 24 inf + 896
38.983 * * [simplify]: Extracting #5: cost 8 inf + 3127
38.984 * * [simplify]: Extracting #6: cost 0 inf + 4466
38.985 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
38.985 * [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))))
38.985 * * * * [progress]: [ 152 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
38.985 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
38.985 * * [simplify]: iters left: 6 (8 enodes)
38.988 * * [simplify]: iters left: 5 (34 enodes)
38.995 * * [simplify]: iters left: 4 (54 enodes)
39.005 * * [simplify]: iters left: 3 (67 enodes)
39.026 * * [simplify]: iters left: 2 (80 enodes)
39.050 * * [simplify]: iters left: 1 (87 enodes)
39.069 * * [simplify]: Extracting #0: cost 1 inf + 0
39.069 * * [simplify]: Extracting #1: cost 11 inf + 0
39.070 * * [simplify]: Extracting #2: cost 25 inf + 123
39.070 * * [simplify]: Extracting #3: cost 26 inf + 493
39.070 * * [simplify]: Extracting #4: cost 24 inf + 576
39.070 * * [simplify]: Extracting #5: cost 8 inf + 2527
39.071 * * [simplify]: Extracting #6: cost 0 inf + 3666
39.072 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
39.072 * [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))))
39.072 * * * * [progress]: [ 153 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
39.072 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
39.072 * * [simplify]: iters left: 6 (7 enodes)
39.077 * * [simplify]: iters left: 5 (32 enodes)
39.084 * * [simplify]: iters left: 4 (50 enodes)
39.095 * * [simplify]: iters left: 3 (54 enodes)
39.111 * * [simplify]: Extracting #0: cost 1 inf + 0
39.111 * * [simplify]: Extracting #1: cost 8 inf + 0
39.111 * * [simplify]: Extracting #2: cost 13 inf + 3
39.112 * * [simplify]: Extracting #3: cost 15 inf + 5
39.112 * * [simplify]: Extracting #4: cost 14 inf + 6
39.112 * * [simplify]: Extracting #5: cost 4 inf + 825
39.113 * * [simplify]: Extracting #6: cost 0 inf + 1234
39.113 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
39.113 * [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))))
39.114 * * * * [progress]: [ 154 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
39.114 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
39.114 * * [simplify]: iters left: 6 (7 enodes)
39.119 * * [simplify]: iters left: 5 (30 enodes)
39.130 * * [simplify]: iters left: 4 (49 enodes)
39.147 * * [simplify]: iters left: 3 (59 enodes)
39.165 * * [simplify]: iters left: 2 (64 enodes)
39.184 * * [simplify]: Extracting #0: cost 1 inf + 0
39.185 * * [simplify]: Extracting #1: cost 9 inf + 0
39.185 * * [simplify]: Extracting #2: cost 23 inf + 0
39.185 * * [simplify]: Extracting #3: cost 24 inf + 3
39.185 * * [simplify]: Extracting #4: cost 15 inf + 980
39.186 * * [simplify]: Extracting #5: cost 1 inf + 3007
39.187 * * [simplify]: Extracting #6: cost 0 inf + 3169
39.188 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
39.188 * [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))))
39.188 * * * * [progress]: [ 155 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
39.189 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
39.189 * * [simplify]: iters left: 6 (8 enodes)
39.194 * * [simplify]: iters left: 5 (33 enodes)
39.206 * * [simplify]: iters left: 4 (55 enodes)
39.225 * * [simplify]: iters left: 3 (72 enodes)
39.251 * * [simplify]: iters left: 2 (84 enodes)
39.275 * * [simplify]: iters left: 1 (88 enodes)
39.290 * * [simplify]: Extracting #0: cost 1 inf + 0
39.290 * * [simplify]: Extracting #1: cost 11 inf + 0
39.290 * * [simplify]: Extracting #2: cost 30 inf + 0
39.290 * * [simplify]: Extracting #3: cost 33 inf + 84
39.290 * * [simplify]: Extracting #4: cost 12 inf + 2402
39.291 * * [simplify]: Extracting #5: cost 0 inf + 4469
39.292 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
39.292 * [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))))
39.292 * * * * [progress]: [ 156 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
39.292 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
39.292 * * [simplify]: iters left: 6 (7 enodes)
39.295 * * [simplify]: iters left: 5 (30 enodes)
39.301 * * [simplify]: iters left: 4 (52 enodes)
39.310 * * [simplify]: iters left: 3 (70 enodes)
39.330 * * [simplify]: iters left: 2 (81 enodes)
39.354 * * [simplify]: iters left: 1 (84 enodes)
39.380 * * [simplify]: Extracting #0: cost 1 inf + 0
39.380 * * [simplify]: Extracting #1: cost 11 inf + 0
39.380 * * [simplify]: Extracting #2: cost 25 inf + 203
39.380 * * [simplify]: Extracting #3: cost 25 inf + 530
39.381 * * [simplify]: Extracting #4: cost 4 inf + 2936
39.382 * * [simplify]: Extracting #5: cost 0 inf + 3504
39.384 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
39.384 * [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))))
39.384 * * * * [progress]: [ 157 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
39.384 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
39.384 * * [simplify]: iters left: 6 (8 enodes)
39.390 * * [simplify]: iters left: 5 (33 enodes)
39.402 * * [simplify]: iters left: 4 (55 enodes)
39.420 * * [simplify]: iters left: 3 (72 enodes)
39.441 * * [simplify]: iters left: 2 (84 enodes)
39.466 * * [simplify]: iters left: 1 (88 enodes)
39.491 * * [simplify]: Extracting #0: cost 1 inf + 0
39.491 * * [simplify]: Extracting #1: cost 11 inf + 0
39.491 * * [simplify]: Extracting #2: cost 30 inf + 0
39.491 * * [simplify]: Extracting #3: cost 33 inf + 44
39.492 * * [simplify]: Extracting #4: cost 12 inf + 2362
39.493 * * [simplify]: Extracting #5: cost 0 inf + 4469
39.495 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
39.495 * [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))))
39.495 * * * * [progress]: [ 158 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
39.495 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
39.495 * * [simplify]: iters left: 6 (7 enodes)
39.500 * * [simplify]: iters left: 5 (30 enodes)
39.511 * * [simplify]: iters left: 4 (48 enodes)
39.529 * * [simplify]: iters left: 3 (56 enodes)
39.546 * * [simplify]: Extracting #0: cost 1 inf + 0
39.546 * * [simplify]: Extracting #1: cost 8 inf + 0
39.546 * * [simplify]: Extracting #2: cost 15 inf + 43
39.546 * * [simplify]: Extracting #3: cost 16 inf + 86
39.546 * * [simplify]: Extracting #4: cost 5 inf + 911
39.547 * * [simplify]: Extracting #5: cost 1 inf + 1198
39.547 * * [simplify]: Extracting #6: cost 0 inf + 1320
39.548 * [simplify]: Simplified to (/ (- 1 k) 2)
39.548 * [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))))
39.548 * * * * [progress]: [ 159 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
39.549 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
39.549 * * [simplify]: iters left: 6 (7 enodes)
39.553 * * [simplify]: iters left: 5 (30 enodes)
39.562 * * [simplify]: iters left: 4 (52 enodes)
39.573 * * [simplify]: iters left: 3 (70 enodes)
39.584 * * [simplify]: iters left: 2 (81 enodes)
39.596 * * [simplify]: iters left: 1 (84 enodes)
39.616 * * [simplify]: Extracting #0: cost 1 inf + 0
39.616 * * [simplify]: Extracting #1: cost 11 inf + 0
39.616 * * [simplify]: Extracting #2: cost 25 inf + 123
39.616 * * [simplify]: Extracting #3: cost 25 inf + 330
39.616 * * [simplify]: Extracting #4: cost 4 inf + 2256
39.617 * * [simplify]: Extracting #5: cost 0 inf + 2704
39.617 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
39.617 * [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))))
39.618 * * * * [progress]: [ 160 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
39.618 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
39.618 * * [simplify]: iters left: 6 (7 enodes)
39.621 * * [simplify]: iters left: 5 (31 enodes)
39.627 * * [simplify]: iters left: 4 (51 enodes)
39.638 * * [simplify]: iters left: 3 (64 enodes)
39.653 * * [simplify]: iters left: 2 (77 enodes)
39.676 * * [simplify]: iters left: 1 (84 enodes)
39.699 * * [simplify]: Extracting #0: cost 1 inf + 0
39.699 * * [simplify]: Extracting #1: cost 11 inf + 0
39.700 * * [simplify]: Extracting #2: cost 26 inf + 82
39.700 * * [simplify]: Extracting #3: cost 24 inf + 692
39.701 * * [simplify]: Extracting #4: cost 3 inf + 3057
39.702 * * [simplify]: Extracting #5: cost 0 inf + 3504
39.703 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
39.703 * [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))))
39.703 * * * * [progress]: [ 161 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
39.704 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
39.704 * * [simplify]: iters left: 6 (7 enodes)
39.709 * * [simplify]: iters left: 5 (31 enodes)
39.722 * * [simplify]: iters left: 4 (51 enodes)
39.739 * * [simplify]: iters left: 3 (64 enodes)
39.759 * * [simplify]: iters left: 2 (77 enodes)
39.781 * * [simplify]: iters left: 1 (84 enodes)
39.807 * * [simplify]: Extracting #0: cost 1 inf + 0
39.808 * * [simplify]: Extracting #1: cost 11 inf + 0
39.808 * * [simplify]: Extracting #2: cost 26 inf + 42
39.808 * * [simplify]: Extracting #3: cost 24 inf + 452
39.809 * * [simplify]: Extracting #4: cost 3 inf + 2337
39.810 * * [simplify]: Extracting #5: cost 0 inf + 2704
39.811 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
39.811 * [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))))
39.811 * * * * [progress]: [ 162 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
39.812 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
39.812 * * [simplify]: iters left: 6 (6 enodes)
39.816 * * [simplify]: iters left: 5 (29 enodes)
39.828 * * [simplify]: iters left: 4 (44 enodes)
39.842 * * [simplify]: iters left: 3 (50 enodes)
39.858 * * [simplify]: iters left: 2 (57 enodes)
39.875 * * [simplify]: Extracting #0: cost 1 inf + 0
39.875 * * [simplify]: Extracting #1: cost 9 inf + 0
39.875 * * [simplify]: Extracting #2: cost 15 inf + 3
39.875 * * [simplify]: Extracting #3: cost 11 inf + 131
39.876 * * [simplify]: Extracting #4: cost 2 inf + 711
39.876 * * [simplify]: Extracting #5: cost 0 inf + 836
39.877 * [simplify]: Simplified to (- 1/4 (/ k 4))
39.877 * [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))))
39.877 * * * * [progress]: [ 163 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
39.877 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
39.878 * * [simplify]: iters left: 6 (7 enodes)
39.882 * * [simplify]: iters left: 5 (31 enodes)
39.894 * * [simplify]: iters left: 4 (51 enodes)
39.910 * * [simplify]: iters left: 3 (64 enodes)
39.929 * * [simplify]: iters left: 2 (77 enodes)
39.956 * * [simplify]: iters left: 1 (84 enodes)
39.980 * * [simplify]: Extracting #0: cost 1 inf + 0
39.980 * * [simplify]: Extracting #1: cost 11 inf + 0
39.980 * * [simplify]: Extracting #2: cost 26 inf + 82
39.980 * * [simplify]: Extracting #3: cost 24 inf + 692
39.981 * * [simplify]: Extracting #4: cost 3 inf + 3057
39.983 * * [simplify]: Extracting #5: cost 0 inf + 3504
39.984 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
39.984 * [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))))
39.984 * * * * [progress]: [ 164 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
39.984 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
39.984 * * [simplify]: iters left: 6 (7 enodes)
39.990 * * [simplify]: iters left: 5 (31 enodes)
40.001 * * [simplify]: iters left: 4 (51 enodes)
40.016 * * [simplify]: iters left: 3 (64 enodes)
40.027 * * [simplify]: iters left: 2 (77 enodes)
40.039 * * [simplify]: iters left: 1 (84 enodes)
40.061 * * [simplify]: Extracting #0: cost 1 inf + 0
40.061 * * [simplify]: Extracting #1: cost 11 inf + 0
40.061 * * [simplify]: Extracting #2: cost 26 inf + 42
40.062 * * [simplify]: Extracting #3: cost 24 inf + 452
40.063 * * [simplify]: Extracting #4: cost 3 inf + 2337
40.064 * * [simplify]: Extracting #5: cost 0 inf + 2704
40.065 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
40.065 * [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))))
40.065 * * * * [progress]: [ 165 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.066 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
40.066 * * [simplify]: iters left: 6 (6 enodes)
40.071 * * [simplify]: iters left: 5 (29 enodes)
40.081 * * [simplify]: iters left: 4 (44 enodes)
40.099 * * [simplify]: iters left: 3 (50 enodes)
40.115 * * [simplify]: iters left: 2 (57 enodes)
40.132 * * [simplify]: Extracting #0: cost 1 inf + 0
40.132 * * [simplify]: Extracting #1: cost 9 inf + 0
40.133 * * [simplify]: Extracting #2: cost 15 inf + 3
40.133 * * [simplify]: Extracting #3: cost 11 inf + 131
40.133 * * [simplify]: Extracting #4: cost 2 inf + 711
40.134 * * [simplify]: Extracting #5: cost 0 inf + 836
40.134 * [simplify]: Simplified to (- 1/4 (/ k 4))
40.134 * [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))))
40.134 * * * * [progress]: [ 166 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.135 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
40.135 * * [simplify]: iters left: 4 (5 enodes)
40.139 * * [simplify]: iters left: 3 (20 enodes)
40.147 * * [simplify]: iters left: 2 (27 enodes)
40.156 * * [simplify]: iters left: 1 (29 enodes)
40.166 * * [simplify]: Extracting #0: cost 1 inf + 0
40.166 * * [simplify]: Extracting #1: cost 8 inf + 0
40.166 * * [simplify]: Extracting #2: cost 4 inf + 449
40.166 * * [simplify]: Extracting #3: cost 0 inf + 895
40.166 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
40.166 * [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))))
40.167 * * * * [progress]: [ 167 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.167 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
40.167 * * [simplify]: iters left: 4 (5 enodes)
40.171 * * [simplify]: iters left: 3 (20 enodes)
40.179 * * [simplify]: iters left: 2 (27 enodes)
40.188 * * [simplify]: iters left: 1 (29 enodes)
40.197 * * [simplify]: Extracting #0: cost 1 inf + 0
40.197 * * [simplify]: Extracting #1: cost 8 inf + 0
40.197 * * [simplify]: Extracting #2: cost 4 inf + 289
40.197 * * [simplify]: Extracting #3: cost 0 inf + 575
40.197 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
40.197 * [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))))
40.198 * * * * [progress]: [ 168 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.198 * [simplify]: Simplifying (/ (/ 1 2) 2)
40.198 * * [simplify]: iters left: 4 (4 enodes)
40.203 * * [simplify]: iters left: 3 (19 enodes)
40.209 * * [simplify]: iters left: 2 (23 enodes)
40.216 * * [simplify]: Extracting #0: cost 1 inf + 0
40.216 * * [simplify]: Extracting #1: cost 0 inf + 1
40.216 * [simplify]: Simplified to 1/4
40.216 * [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))))
40.217 * * * * [progress]: [ 169 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.217 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
40.217 * * [simplify]: iters left: 6 (6 enodes)
40.222 * * [simplify]: iters left: 5 (29 enodes)
40.232 * * [simplify]: iters left: 4 (44 enodes)
40.246 * * [simplify]: iters left: 3 (50 enodes)
40.266 * * [simplify]: iters left: 2 (57 enodes)
40.282 * * [simplify]: Extracting #0: cost 1 inf + 0
40.282 * * [simplify]: Extracting #1: cost 9 inf + 0
40.282 * * [simplify]: Extracting #2: cost 15 inf + 3
40.282 * * [simplify]: Extracting #3: cost 11 inf + 131
40.283 * * [simplify]: Extracting #4: cost 2 inf + 711
40.283 * * [simplify]: Extracting #5: cost 0 inf + 836
40.284 * [simplify]: Simplified to (- 1/4 (/ k 4))
40.284 * [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))))
40.284 * * * * [progress]: [ 170 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.284 * [simplify]: Simplifying (/ 1 2)
40.284 * * [simplify]: iters left: 2 (3 enodes)
40.287 * * [simplify]: iters left: 1 (12 enodes)
40.292 * * [simplify]: Extracting #0: cost 1 inf + 0
40.292 * * [simplify]: Extracting #1: cost 0 inf + 1
40.292 * [simplify]: Simplified to 1/2
40.292 * [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))))
40.292 * * * * [progress]: [ 171 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.292 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
40.292 * * [simplify]: iters left: 6 (8 enodes)
40.298 * * [simplify]: iters left: 5 (38 enodes)
40.312 * * [simplify]: iters left: 4 (66 enodes)
40.336 * * [simplify]: iters left: 3 (110 enodes)
40.374 * * [simplify]: iters left: 2 (200 enodes)
40.461 * * [simplify]: iters left: 1 (403 enodes)
40.644 * * [simplify]: Extracting #0: cost 1 inf + 0
40.644 * * [simplify]: Extracting #1: cost 26 inf + 0
40.644 * * [simplify]: Extracting #2: cost 100 inf + 2
40.645 * * [simplify]: Extracting #3: cost 164 inf + 10
40.646 * * [simplify]: Extracting #4: cost 163 inf + 641
40.648 * * [simplify]: Extracting #5: cost 72 inf + 12998
40.654 * * [simplify]: Extracting #6: cost 25 inf + 35040
40.662 * * [simplify]: Extracting #7: cost 0 inf + 54806
40.670 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
40.670 * [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))))
40.670 * * * * [progress]: [ 172 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.670 * * * * [progress]: [ 173 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.670 * * * * [progress]: [ 174 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.671 * * * * [progress]: [ 175 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.671 * * * * [progress]: [ 176 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.671 * * * * [progress]: [ 177 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.671 * * * * [progress]: [ 178 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.671 * * * * [progress]: [ 179 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.671 * * * * [progress]: [ 180 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.671 * * * * [progress]: [ 181 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (log1p (expm1 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.671 * * * * [progress]: [ 182 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (expm1 (log1p (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.671 * * * * [progress]: [ 183 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.671 * [simplify]: Simplifying (* n (* 2 PI))
40.671 * * [simplify]: iters left: 4 (5 enodes)
40.674 * * [simplify]: iters left: 3 (19 enodes)
40.680 * * [simplify]: iters left: 2 (27 enodes)
40.687 * * [simplify]: iters left: 1 (32 enodes)
40.691 * * [simplify]: Extracting #0: cost 1 inf + 0
40.691 * * [simplify]: Extracting #1: cost 8 inf + 0
40.691 * * [simplify]: Extracting #2: cost 7 inf + 45
40.691 * * [simplify]: Extracting #3: cost 0 inf + 421
40.692 * [simplify]: Simplified to (* (* PI 2) n)
40.692 * [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))))
40.692 * * * * [progress]: [ 184 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.692 * [simplify]: Simplifying (* n (* 2 PI))
40.692 * * [simplify]: iters left: 4 (5 enodes)
40.694 * * [simplify]: iters left: 3 (19 enodes)
40.697 * * [simplify]: iters left: 2 (27 enodes)
40.701 * * [simplify]: iters left: 1 (32 enodes)
40.706 * * [simplify]: Extracting #0: cost 1 inf + 0
40.706 * * [simplify]: Extracting #1: cost 8 inf + 0
40.706 * * [simplify]: Extracting #2: cost 7 inf + 45
40.706 * * [simplify]: Extracting #3: cost 0 inf + 421
40.706 * [simplify]: Simplified to (* (* PI 2) n)
40.706 * [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))))
40.706 * * * * [progress]: [ 185 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.706 * * * * [progress]: [ 186 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.707 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
40.707 * * [simplify]: iters left: 5 (8 enodes)
40.709 * * [simplify]: iters left: 4 (28 enodes)
40.718 * * [simplify]: iters left: 3 (36 enodes)
40.729 * * [simplify]: iters left: 2 (42 enodes)
40.741 * * [simplify]: Extracting #0: cost 1 inf + 0
40.741 * * [simplify]: Extracting #1: cost 8 inf + 0
40.741 * * [simplify]: Extracting #2: cost 17 inf + 0
40.742 * * [simplify]: Extracting #3: cost 12 inf + 145
40.742 * * [simplify]: Extracting #4: cost 5 inf + 1197
40.743 * * [simplify]: Extracting #5: cost 1 inf + 1925
40.743 * * [simplify]: Extracting #6: cost 0 inf + 2107
40.744 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
40.744 * [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))))
40.744 * * * * [progress]: [ 187 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.744 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
40.744 * * [simplify]: iters left: 5 (7 enodes)
40.749 * * [simplify]: iters left: 4 (26 enodes)
40.757 * * [simplify]: iters left: 3 (35 enodes)
40.768 * * [simplify]: iters left: 2 (44 enodes)
40.781 * * [simplify]: Extracting #0: cost 1 inf + 0
40.781 * * [simplify]: Extracting #1: cost 8 inf + 0
40.781 * * [simplify]: Extracting #2: cost 18 inf + 0
40.781 * * [simplify]: Extracting #3: cost 15 inf + 74
40.781 * * [simplify]: Extracting #4: cost 8 inf + 554
40.782 * * [simplify]: Extracting #5: cost 0 inf + 1911
40.782 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
40.782 * [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))))
40.783 * * * * [progress]: [ 188 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (log (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.783 * * * * [progress]: [ 189 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (log (exp (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.783 * * * * [progress]: [ 190 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
40.783 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
40.783 * * [simplify]: iters left: 6 (11 enodes)
40.791 * * [simplify]: iters left: 5 (48 enodes)
40.811 * * [simplify]: iters left: 4 (121 enodes)
40.852 * * [simplify]: iters left: 3 (348 enodes)
41.062 * * [simplify]: Extracting #0: cost 1 inf + 0
41.062 * * [simplify]: Extracting #1: cost 67 inf + 0
41.063 * * [simplify]: Extracting #2: cost 165 inf + 786
41.066 * * [simplify]: Extracting #3: cost 85 inf + 10177
41.072 * * [simplify]: Extracting #4: cost 9 inf + 26399
41.081 * * [simplify]: Extracting #5: cost 0 inf + 28546
41.099 * * [simplify]: Extracting #6: cost 0 inf + 28506
41.112 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
41.112 * [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))))
41.112 * * * * [progress]: [ 191 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.113 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
41.113 * * [simplify]: iters left: 6 (9 enodes)
41.119 * * [simplify]: iters left: 5 (45 enodes)
41.138 * * [simplify]: iters left: 4 (117 enodes)
41.205 * * [simplify]: iters left: 3 (374 enodes)
41.532 * * [simplify]: Extracting #0: cost 1 inf + 0
41.532 * * [simplify]: Extracting #1: cost 77 inf + 0
41.533 * * [simplify]: Extracting #2: cost 184 inf + 984
41.537 * * [simplify]: Extracting #3: cost 106 inf + 11690
41.546 * * [simplify]: Extracting #4: cost 6 inf + 30376
41.558 * * [simplify]: Extracting #5: cost 0 inf + 31644
41.571 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
41.571 * [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))))
41.572 * * * * [progress]: [ 192 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.572 * * * * [progress]: [ 193 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.572 * * * * [progress]: [ 194 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.572 * * * * [progress]: [ 195 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.572 * * * * [progress]: [ 196 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.572 * * * * [progress]: [ 197 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.572 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
41.572 * * [simplify]: iters left: 3 (3 enodes)
41.574 * * [simplify]: iters left: 2 (9 enodes)
41.576 * * [simplify]: Extracting #0: cost 1 inf + 0
41.577 * * [simplify]: Extracting #1: cost 3 inf + 0
41.577 * * [simplify]: Extracting #2: cost 5 inf + 0
41.577 * * [simplify]: Extracting #3: cost 4 inf + 1
41.577 * * [simplify]: Extracting #4: cost 0 inf + 405
41.577 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
41.577 * [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))))
41.577 * * * * [progress]: [ 198 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.577 * [simplify]: Simplifying (sqrt n)
41.578 * * [simplify]: iters left: 1 (2 enodes)
41.578 * * [simplify]: Extracting #0: cost 1 inf + 0
41.578 * * [simplify]: Extracting #1: cost 3 inf + 0
41.578 * * [simplify]: Extracting #2: cost 2 inf + 1
41.579 * * [simplify]: Extracting #3: cost 0 inf + 83
41.579 * [simplify]: Simplified to (sqrt n)
41.579 * [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))))
41.579 * * * * [progress]: [ 199 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.579 * * * * [progress]: [ 200 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.579 * * * * [progress]: [ 201 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.579 * * * * [progress]: [ 202 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (log1p (expm1 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.579 * * * * [progress]: [ 203 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (expm1 (log1p (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.579 * * * * [progress]: [ 204 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.579 * [simplify]: Simplifying (* n (* 2 PI))
41.580 * * [simplify]: iters left: 4 (5 enodes)
41.583 * * [simplify]: iters left: 3 (19 enodes)
41.589 * * [simplify]: iters left: 2 (27 enodes)
41.597 * * [simplify]: iters left: 1 (32 enodes)
41.606 * * [simplify]: Extracting #0: cost 1 inf + 0
41.606 * * [simplify]: Extracting #1: cost 8 inf + 0
41.606 * * [simplify]: Extracting #2: cost 7 inf + 45
41.606 * * [simplify]: Extracting #3: cost 0 inf + 421
41.607 * [simplify]: Simplified to (* (* PI 2) n)
41.607 * [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))))
41.607 * * * * [progress]: [ 205 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.607 * [simplify]: Simplifying (* n (* 2 PI))
41.607 * * [simplify]: iters left: 4 (5 enodes)
41.610 * * [simplify]: iters left: 3 (19 enodes)
41.617 * * [simplify]: iters left: 2 (27 enodes)
41.625 * * [simplify]: iters left: 1 (32 enodes)
41.634 * * [simplify]: Extracting #0: cost 1 inf + 0
41.634 * * [simplify]: Extracting #1: cost 8 inf + 0
41.634 * * [simplify]: Extracting #2: cost 7 inf + 45
41.634 * * [simplify]: Extracting #3: cost 0 inf + 421
41.634 * [simplify]: Simplified to (* (* PI 2) n)
41.634 * [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))))
41.635 * * * * [progress]: [ 206 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.635 * * * * [progress]: [ 207 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.635 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
41.635 * * [simplify]: iters left: 5 (8 enodes)
41.640 * * [simplify]: iters left: 4 (28 enodes)
41.649 * * [simplify]: iters left: 3 (36 enodes)
41.660 * * [simplify]: iters left: 2 (42 enodes)
41.671 * * [simplify]: Extracting #0: cost 1 inf + 0
41.671 * * [simplify]: Extracting #1: cost 8 inf + 0
41.671 * * [simplify]: Extracting #2: cost 17 inf + 0
41.671 * * [simplify]: Extracting #3: cost 12 inf + 145
41.672 * * [simplify]: Extracting #4: cost 5 inf + 1197
41.672 * * [simplify]: Extracting #5: cost 1 inf + 1925
41.673 * * [simplify]: Extracting #6: cost 0 inf + 2107
41.673 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
41.674 * [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))))
41.674 * * * * [progress]: [ 208 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.674 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
41.674 * * [simplify]: iters left: 5 (7 enodes)
41.678 * * [simplify]: iters left: 4 (26 enodes)
41.687 * * [simplify]: iters left: 3 (35 enodes)
41.701 * * [simplify]: iters left: 2 (44 enodes)
41.713 * * [simplify]: Extracting #0: cost 1 inf + 0
41.713 * * [simplify]: Extracting #1: cost 8 inf + 0
41.713 * * [simplify]: Extracting #2: cost 18 inf + 0
41.713 * * [simplify]: Extracting #3: cost 15 inf + 74
41.713 * * [simplify]: Extracting #4: cost 8 inf + 554
41.714 * * [simplify]: Extracting #5: cost 0 inf + 1911
41.714 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
41.714 * [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))))
41.715 * * * * [progress]: [ 209 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (exp (log (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.715 * * * * [progress]: [ 210 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (log (exp (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.715 * * * * [progress]: [ 211 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
41.715 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
41.715 * * [simplify]: iters left: 6 (11 enodes)
41.723 * * [simplify]: iters left: 5 (48 enodes)
41.742 * * [simplify]: iters left: 4 (121 enodes)
41.778 * * [simplify]: iters left: 3 (348 enodes)
41.951 * * [simplify]: Extracting #0: cost 1 inf + 0
41.951 * * [simplify]: Extracting #1: cost 67 inf + 0
41.952 * * [simplify]: Extracting #2: cost 165 inf + 786
41.958 * * [simplify]: Extracting #3: cost 85 inf + 10177
41.970 * * [simplify]: Extracting #4: cost 9 inf + 26399
41.983 * * [simplify]: Extracting #5: cost 0 inf + 28546
41.996 * * [simplify]: Extracting #6: cost 0 inf + 28506
42.004 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
42.004 * [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))))
42.004 * * * * [progress]: [ 212 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
42.004 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
42.005 * * [simplify]: iters left: 6 (9 enodes)
42.008 * * [simplify]: iters left: 5 (45 enodes)
42.021 * * [simplify]: iters left: 4 (117 enodes)
42.077 * * [simplify]: iters left: 3 (374 enodes)
42.403 * * [simplify]: Extracting #0: cost 1 inf + 0
42.403 * * [simplify]: Extracting #1: cost 77 inf + 0
42.405 * * [simplify]: Extracting #2: cost 184 inf + 984
42.408 * * [simplify]: Extracting #3: cost 106 inf + 11690
42.417 * * [simplify]: Extracting #4: cost 6 inf + 30376
42.426 * * [simplify]: Extracting #5: cost 0 inf + 31644
42.436 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
42.436 * [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))))
42.436 * * * * [progress]: [ 213 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
42.436 * * * * [progress]: [ 214 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
42.436 * * * * [progress]: [ 215 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
42.436 * * * * [progress]: [ 216 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
42.436 * * * * [progress]: [ 217 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
42.436 * * * * [progress]: [ 218 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
42.436 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
42.436 * * [simplify]: iters left: 3 (3 enodes)
42.441 * * [simplify]: iters left: 2 (9 enodes)
42.443 * * [simplify]: Extracting #0: cost 1 inf + 0
42.443 * * [simplify]: Extracting #1: cost 3 inf + 0
42.443 * * [simplify]: Extracting #2: cost 5 inf + 0
42.443 * * [simplify]: Extracting #3: cost 4 inf + 1
42.443 * * [simplify]: Extracting #4: cost 0 inf + 405
42.443 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
42.443 * [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))))
42.443 * * * * [progress]: [ 219 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
42.443 * [simplify]: Simplifying (sqrt n)
42.443 * * [simplify]: iters left: 1 (2 enodes)
42.444 * * [simplify]: Extracting #0: cost 1 inf + 0
42.444 * * [simplify]: Extracting #1: cost 3 inf + 0
42.444 * * [simplify]: Extracting #2: cost 2 inf + 1
42.444 * * [simplify]: Extracting #3: cost 0 inf + 83
42.444 * [simplify]: Simplified to (sqrt n)
42.444 * [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))))
42.444 * * * * [progress]: [ 220 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
42.444 * * * * [progress]: [ 221 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
42.444 * * * * [progress]: [ 222 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
42.444 * * * * [progress]: [ 223 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) (sqrt k))))>
42.444 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
42.445 * * [simplify]: iters left: 6 (37 enodes)
42.457 * * [simplify]: iters left: 5 (193 enodes)
42.505 * * [simplify]: Extracting #0: cost 1 inf + 0
42.505 * * [simplify]: Extracting #1: cost 22 inf + 0
42.506 * * [simplify]: Extracting #2: cost 104 inf + 1
42.507 * * [simplify]: Extracting #3: cost 170 inf + 88
42.508 * * [simplify]: Extracting #4: cost 195 inf + 509
42.513 * * [simplify]: Extracting #5: cost 136 inf + 15293
42.522 * * [simplify]: Extracting #6: cost 47 inf + 48666
42.540 * * [simplify]: Extracting #7: cost 3 inf + 79281
42.562 * * [simplify]: Extracting #8: cost 0 inf + 80934
42.587 * * [simplify]: Extracting #9: cost 0 inf + 80864
42.605 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))))))
42.605 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) (sqrt k))))
42.605 * * * * [progress]: [ 224 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k))))>
42.606 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
42.606 * * [simplify]: iters left: 6 (15 enodes)
42.611 * * [simplify]: iters left: 5 (65 enodes)
42.623 * * [simplify]: iters left: 4 (123 enodes)
42.683 * * [simplify]: iters left: 3 (366 enodes)
42.881 * * [simplify]: Extracting #0: cost 1 inf + 0
42.881 * * [simplify]: Extracting #1: cost 37 inf + 0
42.882 * * [simplify]: Extracting #2: cost 212 inf + 143
42.885 * * [simplify]: Extracting #3: cost 347 inf + 1812
42.893 * * [simplify]: Extracting #4: cost 207 inf + 31167
42.907 * * [simplify]: Extracting #5: cost 25 inf + 82567
42.936 * * [simplify]: Extracting #6: cost 0 inf + 89048
42.952 * * [simplify]: Extracting #7: cost 0 inf + 88844
42.981 * * [simplify]: Extracting #8: cost 0 inf + 88842
43.004 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))
43.004 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) (sqrt k))))
43.004 * * * * [progress]: [ 225 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k))))>
43.005 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
43.005 * * [simplify]: iters left: 6 (16 enodes)
43.011 * * [simplify]: iters left: 5 (67 enodes)
43.026 * * [simplify]: iters left: 4 (134 enodes)
43.093 * * [simplify]: iters left: 3 (412 enodes)
43.305 * * [simplify]: Extracting #0: cost 1 inf + 0
43.306 * * [simplify]: Extracting #1: cost 39 inf + 0
43.307 * * [simplify]: Extracting #2: cost 241 inf + 72
43.310 * * [simplify]: Extracting #3: cost 448 inf + 1069
43.321 * * [simplify]: Extracting #4: cost 308 inf + 32324
43.356 * * [simplify]: Extracting #5: cost 42 inf + 110073
43.407 * * [simplify]: Extracting #6: cost 0 inf + 122155
43.452 * * [simplify]: Extracting #7: cost 0 inf + 121985
43.497 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
43.498 * [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))))
43.498 * * * * [progress]: [ 226 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
43.498 * [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)))))))
43.499 * * [simplify]: iters left: 6 (37 enodes)
43.513 * * [simplify]: iters left: 5 (193 enodes)
43.570 * * [simplify]: Extracting #0: cost 1 inf + 0
43.570 * * [simplify]: Extracting #1: cost 22 inf + 0
43.571 * * [simplify]: Extracting #2: cost 104 inf + 1
43.571 * * [simplify]: Extracting #3: cost 170 inf + 88
43.572 * * [simplify]: Extracting #4: cost 195 inf + 509
43.574 * * [simplify]: Extracting #5: cost 136 inf + 15293
43.586 * * [simplify]: Extracting #6: cost 47 inf + 48666
43.600 * * [simplify]: Extracting #7: cost 3 inf + 79281
43.629 * * [simplify]: Extracting #8: cost 0 inf + 80934
43.662 * * [simplify]: Extracting #9: cost 0 inf + 80864
43.696 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))))))
43.696 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
43.697 * * * * [progress]: [ 227 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
43.697 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
43.697 * * [simplify]: iters left: 6 (15 enodes)
43.706 * * [simplify]: iters left: 5 (65 enodes)
43.718 * * [simplify]: iters left: 4 (123 enodes)
43.758 * * [simplify]: iters left: 3 (366 enodes)
43.956 * * [simplify]: Extracting #0: cost 1 inf + 0
43.956 * * [simplify]: Extracting #1: cost 37 inf + 0
43.957 * * [simplify]: Extracting #2: cost 212 inf + 143
43.958 * * [simplify]: Extracting #3: cost 347 inf + 1812
43.963 * * [simplify]: Extracting #4: cost 207 inf + 31167
43.978 * * [simplify]: Extracting #5: cost 25 inf + 82567
44.010 * * [simplify]: Extracting #6: cost 0 inf + 89048
44.036 * * [simplify]: Extracting #7: cost 0 inf + 88844
44.055 * * [simplify]: Extracting #8: cost 0 inf + 88842
44.079 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))
44.079 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
44.080 * * * * [progress]: [ 228 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
44.080 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
44.080 * * [simplify]: iters left: 6 (16 enodes)
44.091 * * [simplify]: iters left: 5 (67 enodes)
44.117 * * [simplify]: iters left: 4 (134 enodes)
44.180 * * [simplify]: iters left: 3 (412 enodes)
44.392 * * [simplify]: Extracting #0: cost 1 inf + 0
44.392 * * [simplify]: Extracting #1: cost 39 inf + 0
44.393 * * [simplify]: Extracting #2: cost 241 inf + 72
44.396 * * [simplify]: Extracting #3: cost 448 inf + 1069
44.407 * * [simplify]: Extracting #4: cost 308 inf + 32324
44.434 * * [simplify]: Extracting #5: cost 42 inf + 110073
44.460 * * [simplify]: Extracting #6: cost 0 inf + 122155
44.502 * * [simplify]: Extracting #7: cost 0 inf + 121985
44.548 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
44.548 * [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))))
44.548 * * * * [progress]: [ 229 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
44.549 * [simplify]: Simplifying (* 2 (* n PI))
44.549 * * [simplify]: iters left: 4 (5 enodes)
44.552 * * [simplify]: iters left: 3 (19 enodes)
44.558 * * [simplify]: iters left: 2 (27 enodes)
44.566 * * [simplify]: iters left: 1 (32 enodes)
44.574 * * [simplify]: Extracting #0: cost 1 inf + 0
44.575 * * [simplify]: Extracting #1: cost 8 inf + 0
44.575 * * [simplify]: Extracting #2: cost 7 inf + 45
44.575 * * [simplify]: Extracting #3: cost 0 inf + 421
44.575 * [simplify]: Simplified to (* (* PI n) 2)
44.575 * [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))))
44.575 * * * * [progress]: [ 230 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
44.576 * [simplify]: Simplifying (* 2 (* n PI))
44.576 * * [simplify]: iters left: 4 (5 enodes)
44.579 * * [simplify]: iters left: 3 (19 enodes)
44.585 * * [simplify]: iters left: 2 (27 enodes)
44.597 * * [simplify]: iters left: 1 (32 enodes)
44.605 * * [simplify]: Extracting #0: cost 1 inf + 0
44.605 * * [simplify]: Extracting #1: cost 8 inf + 0
44.605 * * [simplify]: Extracting #2: cost 7 inf + 45
44.605 * * [simplify]: Extracting #3: cost 0 inf + 421
44.605 * [simplify]: Simplified to (* (* PI n) 2)
44.605 * [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))))
44.606 * * * * [progress]: [ 231 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
44.606 * [simplify]: Simplifying (* 2 (* n PI))
44.606 * * [simplify]: iters left: 4 (5 enodes)
44.609 * * [simplify]: iters left: 3 (19 enodes)
44.613 * * [simplify]: iters left: 2 (27 enodes)
44.618 * * [simplify]: iters left: 1 (32 enodes)
44.622 * * [simplify]: Extracting #0: cost 1 inf + 0
44.622 * * [simplify]: Extracting #1: cost 8 inf + 0
44.622 * * [simplify]: Extracting #2: cost 7 inf + 45
44.623 * * [simplify]: Extracting #3: cost 0 inf + 421
44.623 * [simplify]: Simplified to (* (* PI n) 2)
44.623 * [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))))
44.623 * * * * [progress]: [ 232 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
44.623 * [simplify]: Simplifying (* 2 (* n PI))
44.623 * * [simplify]: iters left: 4 (5 enodes)
44.625 * * [simplify]: iters left: 3 (19 enodes)
44.628 * * [simplify]: iters left: 2 (27 enodes)
44.633 * * [simplify]: iters left: 1 (32 enodes)
44.638 * * [simplify]: Extracting #0: cost 1 inf + 0
44.638 * * [simplify]: Extracting #1: cost 8 inf + 0
44.638 * * [simplify]: Extracting #2: cost 7 inf + 45
44.638 * * [simplify]: Extracting #3: cost 0 inf + 421
44.638 * [simplify]: Simplified to (* (* PI n) 2)
44.638 * [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))))
44.638 * * * * [progress]: [ 233 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
44.638 * [simplify]: Simplifying (* 2 (* n PI))
44.638 * * [simplify]: iters left: 4 (5 enodes)
44.640 * * [simplify]: iters left: 3 (19 enodes)
44.643 * * [simplify]: iters left: 2 (27 enodes)
44.648 * * [simplify]: iters left: 1 (32 enodes)
44.656 * * [simplify]: Extracting #0: cost 1 inf + 0
44.656 * * [simplify]: Extracting #1: cost 8 inf + 0
44.657 * * [simplify]: Extracting #2: cost 7 inf + 45
44.657 * * [simplify]: Extracting #3: cost 0 inf + 421
44.657 * [simplify]: Simplified to (* (* PI n) 2)
44.657 * [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))))
44.657 * * * * [progress]: [ 234 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
44.658 * [simplify]: Simplifying (* 2 (* n PI))
44.658 * * [simplify]: iters left: 4 (5 enodes)
44.661 * * [simplify]: iters left: 3 (19 enodes)
44.667 * * [simplify]: iters left: 2 (27 enodes)
44.675 * * [simplify]: iters left: 1 (32 enodes)
44.680 * * [simplify]: Extracting #0: cost 1 inf + 0
44.680 * * [simplify]: Extracting #1: cost 8 inf + 0
44.680 * * [simplify]: Extracting #2: cost 7 inf + 45
44.680 * * [simplify]: Extracting #3: cost 0 inf + 421
44.680 * [simplify]: Simplified to (* (* PI n) 2)
44.680 * [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))))
44.680 * * * [progress]: adding candidates to table
48.142 * * [progress]: iteration 3 / 4
48.142 * * * [progress]: picking best candidate
48.184 * * * * [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))))>
48.185 * * * [progress]: localizing error
48.259 * * * [progress]: generating rewritten candidates
48.260 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
48.290 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
48.382 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2)
48.390 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2)
48.404 * * * [progress]: generating series expansions
48.404 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
48.406 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
48.406 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
48.406 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
48.406 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
48.406 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
48.406 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
48.406 * [taylor]: Taking taylor expansion of 1/4 in k
48.406 * [backup-simplify]: Simplify 1/4 into 1/4
48.406 * [taylor]: Taking taylor expansion of (- 1 k) in k
48.406 * [taylor]: Taking taylor expansion of 1 in k
48.406 * [backup-simplify]: Simplify 1 into 1
48.406 * [taylor]: Taking taylor expansion of k in k
48.406 * [backup-simplify]: Simplify 0 into 0
48.406 * [backup-simplify]: Simplify 1 into 1
48.406 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
48.406 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
48.406 * [taylor]: Taking taylor expansion of 2 in k
48.406 * [backup-simplify]: Simplify 2 into 2
48.406 * [taylor]: Taking taylor expansion of (* n PI) in k
48.406 * [taylor]: Taking taylor expansion of n in k
48.406 * [backup-simplify]: Simplify n into n
48.406 * [taylor]: Taking taylor expansion of PI in k
48.406 * [backup-simplify]: Simplify PI into PI
48.406 * [backup-simplify]: Simplify (* n PI) into (* n PI)
48.407 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
48.407 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
48.407 * [backup-simplify]: Simplify (- 0) into 0
48.408 * [backup-simplify]: Simplify (+ 1 0) into 1
48.408 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
48.408 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
48.408 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
48.408 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
48.408 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
48.408 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
48.408 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
48.408 * [taylor]: Taking taylor expansion of 1/4 in n
48.408 * [backup-simplify]: Simplify 1/4 into 1/4
48.408 * [taylor]: Taking taylor expansion of (- 1 k) in n
48.409 * [taylor]: Taking taylor expansion of 1 in n
48.409 * [backup-simplify]: Simplify 1 into 1
48.409 * [taylor]: Taking taylor expansion of k in n
48.409 * [backup-simplify]: Simplify k into k
48.409 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
48.409 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
48.409 * [taylor]: Taking taylor expansion of 2 in n
48.409 * [backup-simplify]: Simplify 2 into 2
48.409 * [taylor]: Taking taylor expansion of (* n PI) in n
48.409 * [taylor]: Taking taylor expansion of n in n
48.409 * [backup-simplify]: Simplify 0 into 0
48.409 * [backup-simplify]: Simplify 1 into 1
48.409 * [taylor]: Taking taylor expansion of PI in n
48.409 * [backup-simplify]: Simplify PI into PI
48.409 * [backup-simplify]: Simplify (* 0 PI) into 0
48.410 * [backup-simplify]: Simplify (* 2 0) into 0
48.411 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
48.413 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
48.414 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
48.414 * [backup-simplify]: Simplify (- k) into (- k)
48.414 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
48.414 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
48.415 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
48.417 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
48.418 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
48.418 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
48.418 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
48.418 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
48.418 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
48.418 * [taylor]: Taking taylor expansion of 1/4 in n
48.418 * [backup-simplify]: Simplify 1/4 into 1/4
48.418 * [taylor]: Taking taylor expansion of (- 1 k) in n
48.418 * [taylor]: Taking taylor expansion of 1 in n
48.418 * [backup-simplify]: Simplify 1 into 1
48.418 * [taylor]: Taking taylor expansion of k in n
48.418 * [backup-simplify]: Simplify k into k
48.418 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
48.418 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
48.418 * [taylor]: Taking taylor expansion of 2 in n
48.418 * [backup-simplify]: Simplify 2 into 2
48.418 * [taylor]: Taking taylor expansion of (* n PI) in n
48.418 * [taylor]: Taking taylor expansion of n in n
48.418 * [backup-simplify]: Simplify 0 into 0
48.418 * [backup-simplify]: Simplify 1 into 1
48.418 * [taylor]: Taking taylor expansion of PI in n
48.418 * [backup-simplify]: Simplify PI into PI
48.419 * [backup-simplify]: Simplify (* 0 PI) into 0
48.419 * [backup-simplify]: Simplify (* 2 0) into 0
48.420 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
48.421 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
48.422 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
48.422 * [backup-simplify]: Simplify (- k) into (- k)
48.422 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
48.422 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
48.423 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
48.424 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
48.425 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
48.425 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
48.425 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
48.425 * [taylor]: Taking taylor expansion of 1/4 in k
48.425 * [backup-simplify]: Simplify 1/4 into 1/4
48.425 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
48.425 * [taylor]: Taking taylor expansion of (- 1 k) in k
48.425 * [taylor]: Taking taylor expansion of 1 in k
48.425 * [backup-simplify]: Simplify 1 into 1
48.425 * [taylor]: Taking taylor expansion of k in k
48.425 * [backup-simplify]: Simplify 0 into 0
48.425 * [backup-simplify]: Simplify 1 into 1
48.425 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
48.425 * [taylor]: Taking taylor expansion of (log n) in k
48.425 * [taylor]: Taking taylor expansion of n in k
48.425 * [backup-simplify]: Simplify n into n
48.425 * [backup-simplify]: Simplify (log n) into (log n)
48.425 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
48.425 * [taylor]: Taking taylor expansion of (* 2 PI) in k
48.425 * [taylor]: Taking taylor expansion of 2 in k
48.425 * [backup-simplify]: Simplify 2 into 2
48.425 * [taylor]: Taking taylor expansion of PI in k
48.425 * [backup-simplify]: Simplify PI into PI
48.425 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
48.426 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
48.426 * [backup-simplify]: Simplify (- 0) into 0
48.426 * [backup-simplify]: Simplify (+ 1 0) into 1
48.427 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
48.428 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
48.428 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
48.429 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
48.430 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
48.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
48.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
48.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
48.432 * [backup-simplify]: Simplify (- 0) into 0
48.432 * [backup-simplify]: Simplify (+ 0 0) into 0
48.433 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
48.434 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
48.434 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
48.435 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
48.435 * [taylor]: Taking taylor expansion of 0 in k
48.435 * [backup-simplify]: Simplify 0 into 0
48.435 * [backup-simplify]: Simplify 0 into 0
48.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
48.436 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
48.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
48.438 * [backup-simplify]: Simplify (+ 0 0) into 0
48.438 * [backup-simplify]: Simplify (- 1) into -1
48.438 * [backup-simplify]: Simplify (+ 0 -1) into -1
48.439 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
48.446 * [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)))))
48.448 * [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)))))))
48.451 * [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)))))))
48.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
48.453 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
48.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
48.457 * [backup-simplify]: Simplify (- 0) into 0
48.458 * [backup-simplify]: Simplify (+ 0 0) into 0
48.458 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
48.460 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
48.461 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
48.464 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
48.464 * [taylor]: Taking taylor expansion of 0 in k
48.464 * [backup-simplify]: Simplify 0 into 0
48.464 * [backup-simplify]: Simplify 0 into 0
48.464 * [backup-simplify]: Simplify 0 into 0
48.465 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
48.466 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
48.470 * [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
48.470 * [backup-simplify]: Simplify (+ 0 0) into 0
48.471 * [backup-simplify]: Simplify (- 0) into 0
48.471 * [backup-simplify]: Simplify (+ 0 0) into 0
48.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
48.475 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
48.479 * [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)))))
48.483 * [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)))))
48.493 * [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)))))))
48.493 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
48.493 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
48.493 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
48.494 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
48.494 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
48.494 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
48.494 * [taylor]: Taking taylor expansion of 1/4 in k
48.494 * [backup-simplify]: Simplify 1/4 into 1/4
48.494 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
48.494 * [taylor]: Taking taylor expansion of 1 in k
48.494 * [backup-simplify]: Simplify 1 into 1
48.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k
48.494 * [taylor]: Taking taylor expansion of k in k
48.494 * [backup-simplify]: Simplify 0 into 0
48.494 * [backup-simplify]: Simplify 1 into 1
48.494 * [backup-simplify]: Simplify (/ 1 1) into 1
48.494 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
48.494 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
48.494 * [taylor]: Taking taylor expansion of 2 in k
48.494 * [backup-simplify]: Simplify 2 into 2
48.494 * [taylor]: Taking taylor expansion of (/ PI n) in k
48.494 * [taylor]: Taking taylor expansion of PI in k
48.494 * [backup-simplify]: Simplify PI into PI
48.494 * [taylor]: Taking taylor expansion of n in k
48.494 * [backup-simplify]: Simplify n into n
48.495 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
48.495 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
48.495 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
48.495 * [backup-simplify]: Simplify (- 1) into -1
48.496 * [backup-simplify]: Simplify (+ 0 -1) into -1
48.496 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
48.496 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
48.496 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
48.496 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
48.496 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
48.496 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
48.496 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
48.497 * [taylor]: Taking taylor expansion of 1/4 in n
48.497 * [backup-simplify]: Simplify 1/4 into 1/4
48.497 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
48.497 * [taylor]: Taking taylor expansion of 1 in n
48.497 * [backup-simplify]: Simplify 1 into 1
48.497 * [taylor]: Taking taylor expansion of (/ 1 k) in n
48.497 * [taylor]: Taking taylor expansion of k in n
48.497 * [backup-simplify]: Simplify k into k
48.497 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
48.497 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
48.497 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
48.497 * [taylor]: Taking taylor expansion of 2 in n
48.497 * [backup-simplify]: Simplify 2 into 2
48.497 * [taylor]: Taking taylor expansion of (/ PI n) in n
48.497 * [taylor]: Taking taylor expansion of PI in n
48.497 * [backup-simplify]: Simplify PI into PI
48.497 * [taylor]: Taking taylor expansion of n in n
48.497 * [backup-simplify]: Simplify 0 into 0
48.497 * [backup-simplify]: Simplify 1 into 1
48.497 * [backup-simplify]: Simplify (/ PI 1) into PI
48.498 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
48.499 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
48.499 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
48.499 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
48.499 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
48.501 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
48.502 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
48.503 * [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)))))
48.503 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
48.503 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
48.503 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
48.503 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
48.503 * [taylor]: Taking taylor expansion of 1/4 in n
48.503 * [backup-simplify]: Simplify 1/4 into 1/4
48.503 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
48.503 * [taylor]: Taking taylor expansion of 1 in n
48.503 * [backup-simplify]: Simplify 1 into 1
48.503 * [taylor]: Taking taylor expansion of (/ 1 k) in n
48.503 * [taylor]: Taking taylor expansion of k in n
48.503 * [backup-simplify]: Simplify k into k
48.503 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
48.503 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
48.503 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
48.503 * [taylor]: Taking taylor expansion of 2 in n
48.503 * [backup-simplify]: Simplify 2 into 2
48.503 * [taylor]: Taking taylor expansion of (/ PI n) in n
48.503 * [taylor]: Taking taylor expansion of PI in n
48.503 * [backup-simplify]: Simplify PI into PI
48.503 * [taylor]: Taking taylor expansion of n in n
48.503 * [backup-simplify]: Simplify 0 into 0
48.503 * [backup-simplify]: Simplify 1 into 1
48.504 * [backup-simplify]: Simplify (/ PI 1) into PI
48.504 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
48.505 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
48.505 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
48.505 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
48.506 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
48.507 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
48.508 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
48.509 * [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)))))
48.509 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
48.509 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
48.509 * [taylor]: Taking taylor expansion of 1/4 in k
48.509 * [backup-simplify]: Simplify 1/4 into 1/4
48.509 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
48.509 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
48.510 * [taylor]: Taking taylor expansion of 1 in k
48.510 * [backup-simplify]: Simplify 1 into 1
48.510 * [taylor]: Taking taylor expansion of (/ 1 k) in k
48.510 * [taylor]: Taking taylor expansion of k in k
48.510 * [backup-simplify]: Simplify 0 into 0
48.510 * [backup-simplify]: Simplify 1 into 1
48.510 * [backup-simplify]: Simplify (/ 1 1) into 1
48.510 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
48.510 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
48.510 * [taylor]: Taking taylor expansion of (* 2 PI) in k
48.510 * [taylor]: Taking taylor expansion of 2 in k
48.510 * [backup-simplify]: Simplify 2 into 2
48.510 * [taylor]: Taking taylor expansion of PI in k
48.510 * [backup-simplify]: Simplify PI into PI
48.511 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
48.512 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
48.512 * [taylor]: Taking taylor expansion of (log n) in k
48.512 * [taylor]: Taking taylor expansion of n in k
48.512 * [backup-simplify]: Simplify n into n
48.512 * [backup-simplify]: Simplify (log n) into (log n)
48.512 * [backup-simplify]: Simplify (- 1) into -1
48.513 * [backup-simplify]: Simplify (+ 0 -1) into -1
48.513 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
48.514 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
48.515 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
48.516 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
48.518 * [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)))))
48.519 * [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)))))
48.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
48.521 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
48.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
48.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
48.523 * [backup-simplify]: Simplify (- 0) into 0
48.523 * [backup-simplify]: Simplify (+ 0 0) into 0
48.524 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
48.525 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
48.526 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
48.528 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
48.528 * [taylor]: Taking taylor expansion of 0 in k
48.528 * [backup-simplify]: Simplify 0 into 0
48.528 * [backup-simplify]: Simplify 0 into 0
48.528 * [backup-simplify]: Simplify 0 into 0
48.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
48.530 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
48.534 * [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
48.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
48.534 * [backup-simplify]: Simplify (- 0) into 0
48.535 * [backup-simplify]: Simplify (+ 0 0) into 0
48.536 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
48.537 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
48.539 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
48.541 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
48.541 * [taylor]: Taking taylor expansion of 0 in k
48.541 * [backup-simplify]: Simplify 0 into 0
48.541 * [backup-simplify]: Simplify 0 into 0
48.541 * [backup-simplify]: Simplify 0 into 0
48.541 * [backup-simplify]: Simplify 0 into 0
48.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
48.543 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
48.549 * [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
48.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
48.550 * [backup-simplify]: Simplify (- 0) into 0
48.550 * [backup-simplify]: Simplify (+ 0 0) into 0
48.552 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
48.553 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
48.555 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
48.557 * [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
48.557 * [taylor]: Taking taylor expansion of 0 in k
48.558 * [backup-simplify]: Simplify 0 into 0
48.558 * [backup-simplify]: Simplify 0 into 0
48.559 * [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))))))
48.559 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
48.559 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
48.559 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
48.560 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
48.560 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
48.560 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
48.560 * [taylor]: Taking taylor expansion of 1/4 in k
48.560 * [backup-simplify]: Simplify 1/4 into 1/4
48.560 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
48.560 * [taylor]: Taking taylor expansion of (/ 1 k) in k
48.560 * [taylor]: Taking taylor expansion of k in k
48.560 * [backup-simplify]: Simplify 0 into 0
48.560 * [backup-simplify]: Simplify 1 into 1
48.560 * [backup-simplify]: Simplify (/ 1 1) into 1
48.560 * [taylor]: Taking taylor expansion of 1 in k
48.560 * [backup-simplify]: Simplify 1 into 1
48.560 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
48.560 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
48.560 * [taylor]: Taking taylor expansion of -2 in k
48.560 * [backup-simplify]: Simplify -2 into -2
48.560 * [taylor]: Taking taylor expansion of (/ PI n) in k
48.560 * [taylor]: Taking taylor expansion of PI in k
48.560 * [backup-simplify]: Simplify PI into PI
48.560 * [taylor]: Taking taylor expansion of n in k
48.560 * [backup-simplify]: Simplify n into n
48.561 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
48.561 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
48.561 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
48.561 * [backup-simplify]: Simplify (+ 1 0) into 1
48.562 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
48.562 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
48.562 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
48.562 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
48.562 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
48.562 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
48.562 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
48.562 * [taylor]: Taking taylor expansion of 1/4 in n
48.562 * [backup-simplify]: Simplify 1/4 into 1/4
48.562 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
48.562 * [taylor]: Taking taylor expansion of (/ 1 k) in n
48.562 * [taylor]: Taking taylor expansion of k in n
48.562 * [backup-simplify]: Simplify k into k
48.562 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
48.562 * [taylor]: Taking taylor expansion of 1 in n
48.562 * [backup-simplify]: Simplify 1 into 1
48.562 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
48.562 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
48.562 * [taylor]: Taking taylor expansion of -2 in n
48.562 * [backup-simplify]: Simplify -2 into -2
48.562 * [taylor]: Taking taylor expansion of (/ PI n) in n
48.562 * [taylor]: Taking taylor expansion of PI in n
48.562 * [backup-simplify]: Simplify PI into PI
48.562 * [taylor]: Taking taylor expansion of n in n
48.562 * [backup-simplify]: Simplify 0 into 0
48.562 * [backup-simplify]: Simplify 1 into 1
48.563 * [backup-simplify]: Simplify (/ PI 1) into PI
48.563 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
48.564 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
48.565 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
48.565 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
48.566 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
48.567 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
48.568 * [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)))))
48.568 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
48.568 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
48.568 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
48.568 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
48.568 * [taylor]: Taking taylor expansion of 1/4 in n
48.568 * [backup-simplify]: Simplify 1/4 into 1/4
48.568 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
48.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n
48.569 * [taylor]: Taking taylor expansion of k in n
48.569 * [backup-simplify]: Simplify k into k
48.569 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
48.569 * [taylor]: Taking taylor expansion of 1 in n
48.569 * [backup-simplify]: Simplify 1 into 1
48.569 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
48.569 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
48.569 * [taylor]: Taking taylor expansion of -2 in n
48.569 * [backup-simplify]: Simplify -2 into -2
48.569 * [taylor]: Taking taylor expansion of (/ PI n) in n
48.569 * [taylor]: Taking taylor expansion of PI in n
48.569 * [backup-simplify]: Simplify PI into PI
48.569 * [taylor]: Taking taylor expansion of n in n
48.569 * [backup-simplify]: Simplify 0 into 0
48.569 * [backup-simplify]: Simplify 1 into 1
48.569 * [backup-simplify]: Simplify (/ PI 1) into PI
48.570 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
48.571 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
48.571 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
48.571 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
48.572 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
48.573 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
48.574 * [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)))))
48.575 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
48.575 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
48.575 * [taylor]: Taking taylor expansion of 1/4 in k
48.575 * [backup-simplify]: Simplify 1/4 into 1/4
48.575 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
48.575 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
48.575 * [taylor]: Taking taylor expansion of (/ 1 k) in k
48.575 * [taylor]: Taking taylor expansion of k in k
48.575 * [backup-simplify]: Simplify 0 into 0
48.575 * [backup-simplify]: Simplify 1 into 1
48.575 * [backup-simplify]: Simplify (/ 1 1) into 1
48.575 * [taylor]: Taking taylor expansion of 1 in k
48.575 * [backup-simplify]: Simplify 1 into 1
48.575 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
48.575 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
48.575 * [taylor]: Taking taylor expansion of (* -2 PI) in k
48.575 * [taylor]: Taking taylor expansion of -2 in k
48.575 * [backup-simplify]: Simplify -2 into -2
48.575 * [taylor]: Taking taylor expansion of PI in k
48.575 * [backup-simplify]: Simplify PI into PI
48.576 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
48.577 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
48.577 * [taylor]: Taking taylor expansion of (log n) in k
48.577 * [taylor]: Taking taylor expansion of n in k
48.577 * [backup-simplify]: Simplify n into n
48.577 * [backup-simplify]: Simplify (log n) into (log n)
48.577 * [backup-simplify]: Simplify (+ 1 0) into 1
48.577 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
48.578 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
48.579 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
48.580 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
48.582 * [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)))))
48.583 * [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)))))
48.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
48.589 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
48.590 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
48.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
48.590 * [backup-simplify]: Simplify (+ 0 0) into 0
48.591 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
48.592 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
48.592 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
48.593 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
48.593 * [taylor]: Taking taylor expansion of 0 in k
48.594 * [backup-simplify]: Simplify 0 into 0
48.594 * [backup-simplify]: Simplify 0 into 0
48.594 * [backup-simplify]: Simplify 0 into 0
48.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
48.595 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
48.597 * [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
48.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
48.597 * [backup-simplify]: Simplify (+ 0 0) into 0
48.598 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
48.598 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
48.599 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
48.601 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
48.601 * [taylor]: Taking taylor expansion of 0 in k
48.601 * [backup-simplify]: Simplify 0 into 0
48.601 * [backup-simplify]: Simplify 0 into 0
48.601 * [backup-simplify]: Simplify 0 into 0
48.601 * [backup-simplify]: Simplify 0 into 0
48.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
48.603 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
48.606 * [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
48.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
48.606 * [backup-simplify]: Simplify (+ 0 0) into 0
48.607 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
48.608 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
48.609 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
48.611 * [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
48.611 * [taylor]: Taking taylor expansion of 0 in k
48.611 * [backup-simplify]: Simplify 0 into 0
48.611 * [backup-simplify]: Simplify 0 into 0
48.611 * [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))))))
48.611 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
48.612 * [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)))
48.613 * [approximate]: Taking taylor expansion of (pow (* PI (* n (pow (cbrt 2) 3))) (* 1/4 (- 1 k))) in (n k) around 0
48.613 * [taylor]: Taking taylor expansion of (pow (* PI (* n (pow (cbrt 2) 3))) (* 1/4 (- 1 k))) in k
48.613 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* PI (* n (pow (cbrt 2) 3)))))) in k
48.613 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* PI (* n (pow (cbrt 2) 3))))) in k
48.613 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
48.613 * [taylor]: Taking taylor expansion of 1/4 in k
48.613 * [backup-simplify]: Simplify 1/4 into 1/4
48.613 * [taylor]: Taking taylor expansion of (- 1 k) in k
48.613 * [taylor]: Taking taylor expansion of 1 in k
48.613 * [backup-simplify]: Simplify 1 into 1
48.613 * [taylor]: Taking taylor expansion of k in k
48.613 * [backup-simplify]: Simplify 0 into 0
48.613 * [backup-simplify]: Simplify 1 into 1
48.613 * [taylor]: Taking taylor expansion of (log (* PI (* n (pow (cbrt 2) 3)))) in k
48.613 * [taylor]: Taking taylor expansion of (* PI (* n (pow (cbrt 2) 3))) in k
48.613 * [taylor]: Taking taylor expansion of PI in k
48.613 * [backup-simplify]: Simplify PI into PI
48.613 * [taylor]: Taking taylor expansion of (* n (pow (cbrt 2) 3)) in k
48.613 * [taylor]: Taking taylor expansion of n in k
48.613 * [backup-simplify]: Simplify n into n
48.613 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 3) in k
48.613 * [taylor]: Taking taylor expansion of (cbrt 2) in k
48.613 * [taylor]: Taking taylor expansion of 2 in k
48.613 * [backup-simplify]: Simplify 2 into 2
48.613 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
48.614 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
48.615 * [backup-simplify]: Simplify (* (cbrt 2) (cbrt 2)) into (pow (cbrt 2) 2)
48.616 * [backup-simplify]: Simplify (* (cbrt 2) (pow (cbrt 2) 2)) into (pow (cbrt 2) 3)
48.617 * [backup-simplify]: Simplify (* n (pow (cbrt 2) 3)) into (* 2 n)
48.617 * [backup-simplify]: Simplify (* PI (* 2 n)) into (* 2 (* n PI))
48.617 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
48.617 * [backup-simplify]: Simplify (- 0) into 0
48.617 * [backup-simplify]: Simplify (+ 1 0) into 1
48.617 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
48.618 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
48.618 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
48.618 * [taylor]: Taking taylor expansion of (pow (* PI (* n (pow (cbrt 2) 3))) (* 1/4 (- 1 k))) in n
48.618 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* PI (* n (pow (cbrt 2) 3)))))) in n
48.618 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* PI (* n (pow (cbrt 2) 3))))) in n
48.618 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
48.618 * [taylor]: Taking taylor expansion of 1/4 in n
48.618 * [backup-simplify]: Simplify 1/4 into 1/4
48.618 * [taylor]: Taking taylor expansion of (- 1 k) in n
48.618 * [taylor]: Taking taylor expansion of 1 in n
48.618 * [backup-simplify]: Simplify 1 into 1
48.618 * [taylor]: Taking taylor expansion of k in n
48.618 * [backup-simplify]: Simplify k into k
48.618 * [taylor]: Taking taylor expansion of (log (* PI (* n (pow (cbrt 2) 3)))) in n
48.618 * [taylor]: Taking taylor expansion of (* PI (* n (pow (cbrt 2) 3))) in n
48.618 * [taylor]: Taking taylor expansion of PI in n
48.618 * [backup-simplify]: Simplify PI into PI
48.618 * [taylor]: Taking taylor expansion of (* n (pow (cbrt 2) 3)) in n
48.618 * [taylor]: Taking taylor expansion of n in n
48.618 * [backup-simplify]: Simplify 0 into 0
48.618 * [backup-simplify]: Simplify 1 into 1
48.618 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 3) in n
48.618 * [taylor]: Taking taylor expansion of (cbrt 2) in n
48.618 * [taylor]: Taking taylor expansion of 2 in n
48.618 * [backup-simplify]: Simplify 2 into 2
48.618 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
48.619 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
48.619 * [backup-simplify]: Simplify (* (cbrt 2) (cbrt 2)) into (pow (cbrt 2) 2)
48.621 * [backup-simplify]: Simplify (* (cbrt 2) (pow (cbrt 2) 2)) into (pow (cbrt 2) 3)
48.621 * [backup-simplify]: Simplify (* 0 (pow (cbrt 2) 3)) into 0
48.621 * [backup-simplify]: Simplify (* PI 0) into 0
48.622 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (* 0 (cbrt 2))) into 0
48.622 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (* 0 (pow (cbrt 2) 2))) into 0
48.625 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cbrt 2) 3))) into 2
48.626 * [backup-simplify]: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI)
48.627 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
48.627 * [backup-simplify]: Simplify (- k) into (- k)
48.627 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
48.628 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
48.629 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
48.630 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
48.631 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
48.631 * [taylor]: Taking taylor expansion of (pow (* PI (* n (pow (cbrt 2) 3))) (* 1/4 (- 1 k))) in n
48.631 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* PI (* n (pow (cbrt 2) 3)))))) in n
48.631 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* PI (* n (pow (cbrt 2) 3))))) in n
48.631 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
48.631 * [taylor]: Taking taylor expansion of 1/4 in n
48.631 * [backup-simplify]: Simplify 1/4 into 1/4
48.631 * [taylor]: Taking taylor expansion of (- 1 k) in n
48.631 * [taylor]: Taking taylor expansion of 1 in n
48.631 * [backup-simplify]: Simplify 1 into 1
48.631 * [taylor]: Taking taylor expansion of k in n
48.631 * [backup-simplify]: Simplify k into k
48.631 * [taylor]: Taking taylor expansion of (log (* PI (* n (pow (cbrt 2) 3)))) in n
48.631 * [taylor]: Taking taylor expansion of (* PI (* n (pow (cbrt 2) 3))) in n
48.631 * [taylor]: Taking taylor expansion of PI in n
48.631 * [backup-simplify]: Simplify PI into PI
48.631 * [taylor]: Taking taylor expansion of (* n (pow (cbrt 2) 3)) in n
48.631 * [taylor]: Taking taylor expansion of n in n
48.631 * [backup-simplify]: Simplify 0 into 0
48.631 * [backup-simplify]: Simplify 1 into 1
48.631 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 3) in n
48.632 * [taylor]: Taking taylor expansion of (cbrt 2) in n
48.632 * [taylor]: Taking taylor expansion of 2 in n
48.632 * [backup-simplify]: Simplify 2 into 2
48.632 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
48.633 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
48.634 * [backup-simplify]: Simplify (* (cbrt 2) (cbrt 2)) into (pow (cbrt 2) 2)
48.636 * [backup-simplify]: Simplify (* (cbrt 2) (pow (cbrt 2) 2)) into (pow (cbrt 2) 3)
48.637 * [backup-simplify]: Simplify (* 0 (pow (cbrt 2) 3)) into 0
48.637 * [backup-simplify]: Simplify (* PI 0) into 0
48.638 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (* 0 (cbrt 2))) into 0
48.639 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (* 0 (pow (cbrt 2) 2))) into 0
48.642 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cbrt 2) 3))) into 2
48.644 * [backup-simplify]: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI)
48.645 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
48.645 * [backup-simplify]: Simplify (- k) into (- k)
48.645 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
48.645 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
48.646 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
48.647 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
48.648 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
48.649 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
48.649 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
48.649 * [taylor]: Taking taylor expansion of 1/4 in k
48.649 * [backup-simplify]: Simplify 1/4 into 1/4
48.649 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
48.649 * [taylor]: Taking taylor expansion of (- 1 k) in k
48.649 * [taylor]: Taking taylor expansion of 1 in k
48.649 * [backup-simplify]: Simplify 1 into 1
48.649 * [taylor]: Taking taylor expansion of k in k
48.649 * [backup-simplify]: Simplify 0 into 0
48.649 * [backup-simplify]: Simplify 1 into 1
48.649 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
48.649 * [taylor]: Taking taylor expansion of (log n) in k
48.649 * [taylor]: Taking taylor expansion of n in k
48.649 * [backup-simplify]: Simplify n into n
48.649 * [backup-simplify]: Simplify (log n) into (log n)
48.649 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
48.649 * [taylor]: Taking taylor expansion of (* 2 PI) in k
48.649 * [taylor]: Taking taylor expansion of 2 in k
48.649 * [backup-simplify]: Simplify 2 into 2
48.649 * [taylor]: Taking taylor expansion of PI in k
48.649 * [backup-simplify]: Simplify PI into PI
48.650 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
48.651 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
48.651 * [backup-simplify]: Simplify (- 0) into 0
48.651 * [backup-simplify]: Simplify (+ 1 0) into 1
48.652 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
48.653 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
48.654 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
48.655 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
48.656 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
48.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
48.659 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0
48.661 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (* 0 (pow (cbrt 2) 2)))) into 0
48.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (cbrt 2) 3)))) into 0
48.663 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 2) (* 0 0))) into 0
48.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
48.665 * [backup-simplify]: Simplify (- 0) into 0
48.666 * [backup-simplify]: Simplify (+ 0 0) into 0
48.667 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
48.668 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
48.669 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
48.671 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
48.671 * [taylor]: Taking taylor expansion of 0 in k
48.671 * [backup-simplify]: Simplify 0 into 0
48.671 * [backup-simplify]: Simplify 0 into 0
48.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
48.673 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
48.675 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
48.675 * [backup-simplify]: Simplify (+ 0 0) into 0
48.675 * [backup-simplify]: Simplify (- 1) into -1
48.676 * [backup-simplify]: Simplify (+ 0 -1) into -1
48.677 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
48.679 * [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)))))
48.682 * [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)))))))
48.685 * [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)))))))
48.686 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
48.688 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))) into 0
48.689 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 2) 2))))) into 0
48.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cbrt 2) 3))))) into 0
48.692 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 2) (* 0 0)))) into 0
48.695 * [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
48.695 * [backup-simplify]: Simplify (- 0) into 0
48.696 * [backup-simplify]: Simplify (+ 0 0) into 0
48.697 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
48.698 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
48.700 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
48.701 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
48.701 * [taylor]: Taking taylor expansion of 0 in k
48.701 * [backup-simplify]: Simplify 0 into 0
48.701 * [backup-simplify]: Simplify 0 into 0
48.701 * [backup-simplify]: Simplify 0 into 0
48.702 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
48.703 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
48.710 * [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
48.711 * [backup-simplify]: Simplify (+ 0 0) into 0
48.711 * [backup-simplify]: Simplify (- 0) into 0
48.711 * [backup-simplify]: Simplify (+ 0 0) into 0
48.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
48.714 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
48.716 * [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)))))
48.719 * [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)))))
48.725 * [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)))))))
48.726 * [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))))
48.726 * [approximate]: Taking taylor expansion of (pow (/ (* PI (pow (cbrt 2) 3)) n) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
48.726 * [taylor]: Taking taylor expansion of (pow (/ (* PI (pow (cbrt 2) 3)) n) (* 1/4 (- 1 (/ 1 k)))) in k
48.726 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ (* PI (pow (cbrt 2) 3)) n)))) in k
48.726 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ (* PI (pow (cbrt 2) 3)) n))) in k
48.726 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
48.726 * [taylor]: Taking taylor expansion of 1/4 in k
48.726 * [backup-simplify]: Simplify 1/4 into 1/4
48.726 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
48.726 * [taylor]: Taking taylor expansion of 1 in k
48.726 * [backup-simplify]: Simplify 1 into 1
48.726 * [taylor]: Taking taylor expansion of (/ 1 k) in k
48.726 * [taylor]: Taking taylor expansion of k in k
48.726 * [backup-simplify]: Simplify 0 into 0
48.726 * [backup-simplify]: Simplify 1 into 1
48.727 * [backup-simplify]: Simplify (/ 1 1) into 1
48.727 * [taylor]: Taking taylor expansion of (log (/ (* PI (pow (cbrt 2) 3)) n)) in k
48.727 * [taylor]: Taking taylor expansion of (/ (* PI (pow (cbrt 2) 3)) n) in k
48.727 * [taylor]: Taking taylor expansion of (* PI (pow (cbrt 2) 3)) in k
48.727 * [taylor]: Taking taylor expansion of PI in k
48.727 * [backup-simplify]: Simplify PI into PI
48.727 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 3) in k
48.727 * [taylor]: Taking taylor expansion of (cbrt 2) in k
48.727 * [taylor]: Taking taylor expansion of 2 in k
48.727 * [backup-simplify]: Simplify 2 into 2
48.727 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
48.728 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
48.728 * [taylor]: Taking taylor expansion of n in k
48.728 * [backup-simplify]: Simplify n into n
48.728 * [backup-simplify]: Simplify (* (cbrt 2) (cbrt 2)) into (pow (cbrt 2) 2)
48.730 * [backup-simplify]: Simplify (* (cbrt 2) (pow (cbrt 2) 2)) into (pow (cbrt 2) 3)
48.731 * [backup-simplify]: Simplify (* PI (pow (cbrt 2) 3)) into (* 2 PI)
48.731 * [backup-simplify]: Simplify (/ (* 2 PI) n) into (* 2 (/ PI n))
48.731 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
48.731 * [backup-simplify]: Simplify (- 1) into -1
48.732 * [backup-simplify]: Simplify (+ 0 -1) into -1
48.732 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
48.732 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
48.733 * [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))))))
48.733 * [taylor]: Taking taylor expansion of (pow (/ (* PI (pow (cbrt 2) 3)) n) (* 1/4 (- 1 (/ 1 k)))) in n
48.733 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ (* PI (pow (cbrt 2) 3)) n)))) in n
48.733 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ (* PI (pow (cbrt 2) 3)) n))) in n
48.733 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
48.733 * [taylor]: Taking taylor expansion of 1/4 in n
48.733 * [backup-simplify]: Simplify 1/4 into 1/4
48.733 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
48.733 * [taylor]: Taking taylor expansion of 1 in n
48.733 * [backup-simplify]: Simplify 1 into 1
48.734 * [taylor]: Taking taylor expansion of (/ 1 k) in n
48.734 * [taylor]: Taking taylor expansion of k in n
48.734 * [backup-simplify]: Simplify k into k
48.734 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
48.734 * [taylor]: Taking taylor expansion of (log (/ (* PI (pow (cbrt 2) 3)) n)) in n
48.734 * [taylor]: Taking taylor expansion of (/ (* PI (pow (cbrt 2) 3)) n) in n
48.734 * [taylor]: Taking taylor expansion of (* PI (pow (cbrt 2) 3)) in n
48.734 * [taylor]: Taking taylor expansion of PI in n
48.734 * [backup-simplify]: Simplify PI into PI
48.734 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 3) in n
48.734 * [taylor]: Taking taylor expansion of (cbrt 2) in n
48.734 * [taylor]: Taking taylor expansion of 2 in n
48.734 * [backup-simplify]: Simplify 2 into 2
48.734 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
48.734 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
48.734 * [taylor]: Taking taylor expansion of n in n
48.734 * [backup-simplify]: Simplify 0 into 0
48.735 * [backup-simplify]: Simplify 1 into 1
48.735 * [backup-simplify]: Simplify (* (cbrt 2) (cbrt 2)) into (pow (cbrt 2) 2)
48.736 * [backup-simplify]: Simplify (* (cbrt 2) (pow (cbrt 2) 2)) into (pow (cbrt 2) 3)
48.737 * [backup-simplify]: Simplify (* PI (pow (cbrt 2) 3)) into (* 2 PI)
48.738 * [backup-simplify]: Simplify (/ (* 2 PI) 1) into (* 2 PI)
48.739 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
48.739 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
48.739 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
48.739 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
48.740 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
48.740 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
48.741 * [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)))))
48.741 * [taylor]: Taking taylor expansion of (pow (/ (* PI (pow (cbrt 2) 3)) n) (* 1/4 (- 1 (/ 1 k)))) in n
48.741 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ (* PI (pow (cbrt 2) 3)) n)))) in n
48.741 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ (* PI (pow (cbrt 2) 3)) n))) in n
48.741 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
48.741 * [taylor]: Taking taylor expansion of 1/4 in n
48.741 * [backup-simplify]: Simplify 1/4 into 1/4
48.741 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
48.741 * [taylor]: Taking taylor expansion of 1 in n
48.741 * [backup-simplify]: Simplify 1 into 1
48.741 * [taylor]: Taking taylor expansion of (/ 1 k) in n
48.741 * [taylor]: Taking taylor expansion of k in n
48.741 * [backup-simplify]: Simplify k into k
48.741 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
48.741 * [taylor]: Taking taylor expansion of (log (/ (* PI (pow (cbrt 2) 3)) n)) in n
48.741 * [taylor]: Taking taylor expansion of (/ (* PI (pow (cbrt 2) 3)) n) in n
48.741 * [taylor]: Taking taylor expansion of (* PI (pow (cbrt 2) 3)) in n
48.741 * [taylor]: Taking taylor expansion of PI in n
48.741 * [backup-simplify]: Simplify PI into PI
48.741 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 3) in n
48.741 * [taylor]: Taking taylor expansion of (cbrt 2) in n
48.741 * [taylor]: Taking taylor expansion of 2 in n
48.741 * [backup-simplify]: Simplify 2 into 2
48.742 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
48.742 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
48.742 * [taylor]: Taking taylor expansion of n in n
48.742 * [backup-simplify]: Simplify 0 into 0
48.742 * [backup-simplify]: Simplify 1 into 1
48.743 * [backup-simplify]: Simplify (* (cbrt 2) (cbrt 2)) into (pow (cbrt 2) 2)
48.744 * [backup-simplify]: Simplify (* (cbrt 2) (pow (cbrt 2) 2)) into (pow (cbrt 2) 3)
48.745 * [backup-simplify]: Simplify (* PI (pow (cbrt 2) 3)) into (* 2 PI)
48.746 * [backup-simplify]: Simplify (/ (* 2 PI) 1) into (* 2 PI)
48.746 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
48.746 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
48.746 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
48.746 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
48.747 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
48.748 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
48.750 * [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)))))
48.750 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
48.750 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
48.750 * [taylor]: Taking taylor expansion of 1/4 in k
48.750 * [backup-simplify]: Simplify 1/4 into 1/4
48.750 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
48.750 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
48.750 * [taylor]: Taking taylor expansion of 1 in k
48.750 * [backup-simplify]: Simplify 1 into 1
48.750 * [taylor]: Taking taylor expansion of (/ 1 k) in k
48.750 * [taylor]: Taking taylor expansion of k in k
48.750 * [backup-simplify]: Simplify 0 into 0
48.750 * [backup-simplify]: Simplify 1 into 1
48.751 * [backup-simplify]: Simplify (/ 1 1) into 1
48.751 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
48.751 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
48.751 * [taylor]: Taking taylor expansion of (* 2 PI) in k
48.751 * [taylor]: Taking taylor expansion of 2 in k
48.751 * [backup-simplify]: Simplify 2 into 2
48.751 * [taylor]: Taking taylor expansion of PI in k
48.751 * [backup-simplify]: Simplify PI into PI
48.751 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
48.752 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
48.752 * [taylor]: Taking taylor expansion of (log n) in k
48.752 * [taylor]: Taking taylor expansion of n in k
48.752 * [backup-simplify]: Simplify n into n
48.752 * [backup-simplify]: Simplify (log n) into (log n)
48.753 * [backup-simplify]: Simplify (- 1) into -1
48.753 * [backup-simplify]: Simplify (+ 0 -1) into -1
48.753 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
48.754 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
48.755 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
48.756 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
48.757 * [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)))))
48.758 * [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)))))
48.759 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (* 0 (cbrt 2))) into 0
48.760 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (* 0 (pow (cbrt 2) 2))) into 0
48.761 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (pow (cbrt 2) 3))) into 0
48.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 2 PI) (/ 0 1)))) into 0
48.764 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
48.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
48.764 * [backup-simplify]: Simplify (- 0) into 0
48.764 * [backup-simplify]: Simplify (+ 0 0) into 0
48.765 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
48.766 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
48.766 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
48.767 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
48.767 * [taylor]: Taking taylor expansion of 0 in k
48.767 * [backup-simplify]: Simplify 0 into 0
48.767 * [backup-simplify]: Simplify 0 into 0
48.767 * [backup-simplify]: Simplify 0 into 0
48.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
48.769 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0
48.770 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (* 0 (pow (cbrt 2) 2)))) into 0
48.770 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (cbrt 2) 3)))) into 0
48.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 2 PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0
48.773 * [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
48.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
48.773 * [backup-simplify]: Simplify (- 0) into 0
48.773 * [backup-simplify]: Simplify (+ 0 0) into 0
48.774 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
48.775 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
48.776 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
48.777 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
48.777 * [taylor]: Taking taylor expansion of 0 in k
48.777 * [backup-simplify]: Simplify 0 into 0
48.777 * [backup-simplify]: Simplify 0 into 0
48.777 * [backup-simplify]: Simplify 0 into 0
48.777 * [backup-simplify]: Simplify 0 into 0
48.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
48.779 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))) into 0
48.780 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 2) 2))))) into 0
48.780 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 2) 3))))) into 0
48.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 2 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
48.784 * [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
48.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
48.785 * [backup-simplify]: Simplify (- 0) into 0
48.785 * [backup-simplify]: Simplify (+ 0 0) into 0
48.786 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
48.787 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
48.788 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
48.789 * [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
48.789 * [taylor]: Taking taylor expansion of 0 in k
48.789 * [backup-simplify]: Simplify 0 into 0
48.790 * [backup-simplify]: Simplify 0 into 0
48.790 * [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))))))
48.791 * [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)))
48.792 * [approximate]: Taking taylor expansion of (pow (/ (* (pow (cbrt -2) 3) PI) n) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
48.792 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (cbrt -2) 3) PI) n) (* 1/4 (+ (/ 1 k) 1))) in k
48.792 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ (* (pow (cbrt -2) 3) PI) n)))) in k
48.792 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ (* (pow (cbrt -2) 3) PI) n))) in k
48.792 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
48.792 * [taylor]: Taking taylor expansion of 1/4 in k
48.792 * [backup-simplify]: Simplify 1/4 into 1/4
48.792 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
48.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k
48.792 * [taylor]: Taking taylor expansion of k in k
48.792 * [backup-simplify]: Simplify 0 into 0
48.792 * [backup-simplify]: Simplify 1 into 1
48.792 * [backup-simplify]: Simplify (/ 1 1) into 1
48.792 * [taylor]: Taking taylor expansion of 1 in k
48.792 * [backup-simplify]: Simplify 1 into 1
48.792 * [taylor]: Taking taylor expansion of (log (/ (* (pow (cbrt -2) 3) PI) n)) in k
48.792 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -2) 3) PI) n) in k
48.792 * [taylor]: Taking taylor expansion of (* (pow (cbrt -2) 3) PI) in k
48.792 * [taylor]: Taking taylor expansion of (pow (cbrt -2) 3) in k
48.792 * [taylor]: Taking taylor expansion of (cbrt -2) in k
48.792 * [taylor]: Taking taylor expansion of -2 in k
48.792 * [backup-simplify]: Simplify -2 into -2
48.792 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2)
48.793 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0
48.793 * [taylor]: Taking taylor expansion of PI in k
48.793 * [backup-simplify]: Simplify PI into PI
48.793 * [taylor]: Taking taylor expansion of n in k
48.793 * [backup-simplify]: Simplify n into n
48.794 * [backup-simplify]: Simplify (* (cbrt -2) (cbrt -2)) into (pow (cbrt -2) 2)
48.795 * [backup-simplify]: Simplify (* (cbrt -2) (pow (cbrt -2) 2)) into (pow (cbrt -2) 3)
48.796 * [backup-simplify]: Simplify (* (pow (cbrt -2) 3) PI) into (* -2 PI)
48.796 * [backup-simplify]: Simplify (/ (* -2 PI) n) into (* -2 (/ PI n))
48.796 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
48.797 * [backup-simplify]: Simplify (+ 1 0) into 1
48.797 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
48.797 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
48.798 * [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))))
48.798 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (cbrt -2) 3) PI) n) (* 1/4 (+ (/ 1 k) 1))) in n
48.798 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ (* (pow (cbrt -2) 3) PI) n)))) in n
48.798 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ (* (pow (cbrt -2) 3) PI) n))) in n
48.798 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
48.798 * [taylor]: Taking taylor expansion of 1/4 in n
48.798 * [backup-simplify]: Simplify 1/4 into 1/4
48.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
48.798 * [taylor]: Taking taylor expansion of (/ 1 k) in n
48.798 * [taylor]: Taking taylor expansion of k in n
48.798 * [backup-simplify]: Simplify k into k
48.798 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
48.798 * [taylor]: Taking taylor expansion of 1 in n
48.798 * [backup-simplify]: Simplify 1 into 1
48.798 * [taylor]: Taking taylor expansion of (log (/ (* (pow (cbrt -2) 3) PI) n)) in n
48.798 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -2) 3) PI) n) in n
48.798 * [taylor]: Taking taylor expansion of (* (pow (cbrt -2) 3) PI) in n
48.798 * [taylor]: Taking taylor expansion of (pow (cbrt -2) 3) in n
48.798 * [taylor]: Taking taylor expansion of (cbrt -2) in n
48.798 * [taylor]: Taking taylor expansion of -2 in n
48.798 * [backup-simplify]: Simplify -2 into -2
48.799 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2)
48.799 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0
48.800 * [taylor]: Taking taylor expansion of PI in n
48.800 * [backup-simplify]: Simplify PI into PI
48.800 * [taylor]: Taking taylor expansion of n in n
48.800 * [backup-simplify]: Simplify 0 into 0
48.800 * [backup-simplify]: Simplify 1 into 1
48.800 * [backup-simplify]: Simplify (* (cbrt -2) (cbrt -2)) into (pow (cbrt -2) 2)
48.802 * [backup-simplify]: Simplify (* (cbrt -2) (pow (cbrt -2) 2)) into (pow (cbrt -2) 3)
48.808 * [backup-simplify]: Simplify (* (pow (cbrt -2) 3) PI) into (* -2 PI)
48.809 * [backup-simplify]: Simplify (/ (* -2 PI) 1) into (* -2 PI)
48.809 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
48.809 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
48.809 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
48.810 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
48.811 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
48.812 * [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)))))
48.812 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (cbrt -2) 3) PI) n) (* 1/4 (+ (/ 1 k) 1))) in n
48.812 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ (* (pow (cbrt -2) 3) PI) n)))) in n
48.812 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ (* (pow (cbrt -2) 3) PI) n))) in n
48.812 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
48.812 * [taylor]: Taking taylor expansion of 1/4 in n
48.812 * [backup-simplify]: Simplify 1/4 into 1/4
48.812 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
48.812 * [taylor]: Taking taylor expansion of (/ 1 k) in n
48.812 * [taylor]: Taking taylor expansion of k in n
48.812 * [backup-simplify]: Simplify k into k
48.812 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
48.812 * [taylor]: Taking taylor expansion of 1 in n
48.812 * [backup-simplify]: Simplify 1 into 1
48.812 * [taylor]: Taking taylor expansion of (log (/ (* (pow (cbrt -2) 3) PI) n)) in n
48.812 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -2) 3) PI) n) in n
48.812 * [taylor]: Taking taylor expansion of (* (pow (cbrt -2) 3) PI) in n
48.812 * [taylor]: Taking taylor expansion of (pow (cbrt -2) 3) in n
48.812 * [taylor]: Taking taylor expansion of (cbrt -2) in n
48.812 * [taylor]: Taking taylor expansion of -2 in n
48.812 * [backup-simplify]: Simplify -2 into -2
48.812 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2)
48.813 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0
48.813 * [taylor]: Taking taylor expansion of PI in n
48.813 * [backup-simplify]: Simplify PI into PI
48.813 * [taylor]: Taking taylor expansion of n in n
48.813 * [backup-simplify]: Simplify 0 into 0
48.813 * [backup-simplify]: Simplify 1 into 1
48.814 * [backup-simplify]: Simplify (* (cbrt -2) (cbrt -2)) into (pow (cbrt -2) 2)
48.815 * [backup-simplify]: Simplify (* (cbrt -2) (pow (cbrt -2) 2)) into (pow (cbrt -2) 3)
48.816 * [backup-simplify]: Simplify (* (pow (cbrt -2) 3) PI) into (* -2 PI)
48.816 * [backup-simplify]: Simplify (/ (* -2 PI) 1) into (* -2 PI)
48.817 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
48.817 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
48.817 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
48.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
48.819 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
48.819 * [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)))))
48.819 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
48.819 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
48.819 * [taylor]: Taking taylor expansion of 1/4 in k
48.819 * [backup-simplify]: Simplify 1/4 into 1/4
48.820 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
48.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
48.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k
48.820 * [taylor]: Taking taylor expansion of k in k
48.820 * [backup-simplify]: Simplify 0 into 0
48.820 * [backup-simplify]: Simplify 1 into 1
48.820 * [backup-simplify]: Simplify (/ 1 1) into 1
48.820 * [taylor]: Taking taylor expansion of 1 in k
48.820 * [backup-simplify]: Simplify 1 into 1
48.820 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
48.820 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
48.820 * [taylor]: Taking taylor expansion of (* -2 PI) in k
48.820 * [taylor]: Taking taylor expansion of -2 in k
48.820 * [backup-simplify]: Simplify -2 into -2
48.820 * [taylor]: Taking taylor expansion of PI in k
48.820 * [backup-simplify]: Simplify PI into PI
48.820 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
48.821 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
48.821 * [taylor]: Taking taylor expansion of (log n) in k
48.821 * [taylor]: Taking taylor expansion of n in k
48.821 * [backup-simplify]: Simplify n into n
48.821 * [backup-simplify]: Simplify (log n) into (log n)
48.821 * [backup-simplify]: Simplify (+ 1 0) into 1
48.821 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
48.822 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
48.822 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
48.823 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
48.824 * [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)))))
48.825 * [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)))))
48.826 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (cbrt -2))) into 0
48.827 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (pow (cbrt -2) 2))) into 0
48.828 * [backup-simplify]: Simplify (+ (* (pow (cbrt -2) 3) 0) (* 0 PI)) into 0
48.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -2 PI) (/ 0 1)))) into 0
48.831 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
48.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
48.832 * [backup-simplify]: Simplify (+ 0 0) into 0
48.832 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
48.833 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
48.834 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
48.836 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
48.836 * [taylor]: Taking taylor expansion of 0 in k
48.836 * [backup-simplify]: Simplify 0 into 0
48.836 * [backup-simplify]: Simplify 0 into 0
48.836 * [backup-simplify]: Simplify 0 into 0
48.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0
48.839 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (* 0 (cbrt -2)))) into 0
48.840 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (* 0 (pow (cbrt -2) 2)))) into 0
48.842 * [backup-simplify]: Simplify (+ (* (pow (cbrt -2) 3) 0) (+ (* 0 0) (* 0 PI))) into 0
48.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -2 PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0
48.847 * [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
48.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
48.847 * [backup-simplify]: Simplify (+ 0 0) into 0
48.848 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
48.850 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
48.851 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
48.854 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
48.854 * [taylor]: Taking taylor expansion of 0 in k
48.854 * [backup-simplify]: Simplify 0 into 0
48.854 * [backup-simplify]: Simplify 0 into 0
48.854 * [backup-simplify]: Simplify 0 into 0
48.854 * [backup-simplify]: Simplify 0 into 0
48.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -2))) into 0
48.857 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -2))))) into 0
48.858 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -2) 2))))) into 0
48.860 * [backup-simplify]: Simplify (+ (* (pow (cbrt -2) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
48.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -2 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
48.867 * [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
48.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
48.868 * [backup-simplify]: Simplify (+ 0 0) into 0
48.869 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
48.871 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
48.873 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
48.875 * [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
48.875 * [taylor]: Taking taylor expansion of 0 in k
48.875 * [backup-simplify]: Simplify 0 into 0
48.875 * [backup-simplify]: Simplify 0 into 0
48.877 * [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))))))
48.877 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2)
48.877 * [backup-simplify]: Simplify (cbrt (* n (* 2 PI))) into (* (pow (* PI n) 1/3) (cbrt 2))
48.877 * [approximate]: Taking taylor expansion of (* (pow (* PI n) 1/3) (cbrt 2)) in (n) around 0
48.877 * [taylor]: Taking taylor expansion of (* (pow (* PI n) 1/3) (cbrt 2)) in n
48.877 * [taylor]: Taking taylor expansion of (pow (* PI n) 1/3) in n
48.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* PI n)))) in n
48.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (* PI n))) in n
48.877 * [taylor]: Taking taylor expansion of 1/3 in n
48.877 * [backup-simplify]: Simplify 1/3 into 1/3
48.878 * [taylor]: Taking taylor expansion of (log (* PI n)) in n
48.878 * [taylor]: Taking taylor expansion of (* PI n) in n
48.878 * [taylor]: Taking taylor expansion of PI in n
48.878 * [backup-simplify]: Simplify PI into PI
48.878 * [taylor]: Taking taylor expansion of n in n
48.878 * [backup-simplify]: Simplify 0 into 0
48.878 * [backup-simplify]: Simplify 1 into 1
48.878 * [backup-simplify]: Simplify (* PI 0) into 0
48.880 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
48.880 * [backup-simplify]: Simplify (log PI) into (log PI)
48.881 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
48.881 * [backup-simplify]: Simplify (* 1/3 (+ (log PI) (log n))) into (* 1/3 (+ (log PI) (log n)))
48.882 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log PI) (log n)))) into (exp (* 1/3 (+ (log PI) (log n))))
48.882 * [taylor]: Taking taylor expansion of (cbrt 2) in n
48.882 * [taylor]: Taking taylor expansion of 2 in n
48.882 * [backup-simplify]: Simplify 2 into 2
48.882 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
48.883 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
48.883 * [taylor]: Taking taylor expansion of (* (pow (* PI n) 1/3) (cbrt 2)) in n
48.883 * [taylor]: Taking taylor expansion of (pow (* PI n) 1/3) in n
48.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* PI n)))) in n
48.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (* PI n))) in n
48.883 * [taylor]: Taking taylor expansion of 1/3 in n
48.883 * [backup-simplify]: Simplify 1/3 into 1/3
48.883 * [taylor]: Taking taylor expansion of (log (* PI n)) in n
48.883 * [taylor]: Taking taylor expansion of (* PI n) in n
48.883 * [taylor]: Taking taylor expansion of PI in n
48.883 * [backup-simplify]: Simplify PI into PI
48.883 * [taylor]: Taking taylor expansion of n in n
48.883 * [backup-simplify]: Simplify 0 into 0
48.883 * [backup-simplify]: Simplify 1 into 1
48.884 * [backup-simplify]: Simplify (* PI 0) into 0
48.885 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
48.886 * [backup-simplify]: Simplify (log PI) into (log PI)
48.886 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
48.887 * [backup-simplify]: Simplify (* 1/3 (+ (log PI) (log n))) into (* 1/3 (+ (log PI) (log n)))
48.887 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log PI) (log n)))) into (exp (* 1/3 (+ (log PI) (log n))))
48.887 * [taylor]: Taking taylor expansion of (cbrt 2) in n
48.887 * [taylor]: Taking taylor expansion of 2 in n
48.887 * [backup-simplify]: Simplify 2 into 2
48.888 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
48.889 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
48.890 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (cbrt 2)) into (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
48.890 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n))))) into (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
48.892 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
48.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
48.894 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
48.895 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log PI) (log n)))) into 0
48.896 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
48.897 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (* 0 (cbrt 2))) into 0
48.897 * [backup-simplify]: Simplify 0 into 0
48.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
48.900 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
48.903 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
48.904 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
48.905 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))) into 0
48.907 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
48.908 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0
48.908 * [backup-simplify]: Simplify 0 into 0
48.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
48.911 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
48.917 * [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
48.918 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
48.920 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n)))))) into 0
48.921 * [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
48.922 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))) into 0
48.922 * [backup-simplify]: Simplify 0 into 0
48.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
48.924 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
48.930 * [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
48.931 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
48.932 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))))) into 0
48.939 * [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
48.940 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2)))))) into 0
48.941 * [backup-simplify]: Simplify 0 into 0
48.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
48.942 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
48.952 * [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
48.953 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
48.954 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n)))))))) into 0
48.957 * [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
48.958 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))))) into 0
48.958 * [backup-simplify]: Simplify 0 into 0
48.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
48.960 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
48.979 * [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
48.980 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
48.983 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))))))) into 0
48.989 * [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
48.991 * [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
48.992 * [backup-simplify]: Simplify 0 into 0
48.992 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n))))) into (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
48.993 * [backup-simplify]: Simplify (cbrt (* (/ 1 n) (* 2 PI))) into (* (pow (/ PI n) 1/3) (cbrt 2))
48.993 * [approximate]: Taking taylor expansion of (* (pow (/ PI n) 1/3) (cbrt 2)) in (n) around 0
48.993 * [taylor]: Taking taylor expansion of (* (pow (/ PI n) 1/3) (cbrt 2)) in n
48.993 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
48.993 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
48.993 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
48.993 * [taylor]: Taking taylor expansion of 1/3 in n
48.993 * [backup-simplify]: Simplify 1/3 into 1/3
48.993 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
48.993 * [taylor]: Taking taylor expansion of (/ PI n) in n
48.993 * [taylor]: Taking taylor expansion of PI in n
48.993 * [backup-simplify]: Simplify PI into PI
48.994 * [taylor]: Taking taylor expansion of n in n
48.994 * [backup-simplify]: Simplify 0 into 0
48.994 * [backup-simplify]: Simplify 1 into 1
48.994 * [backup-simplify]: Simplify (/ PI 1) into PI
48.995 * [backup-simplify]: Simplify (log PI) into (log PI)
48.996 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
48.996 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
48.997 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
48.997 * [taylor]: Taking taylor expansion of (cbrt 2) in n
48.997 * [taylor]: Taking taylor expansion of 2 in n
48.997 * [backup-simplify]: Simplify 2 into 2
48.998 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
48.998 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
48.998 * [taylor]: Taking taylor expansion of (* (pow (/ PI n) 1/3) (cbrt 2)) in n
48.998 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
48.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
48.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
48.999 * [taylor]: Taking taylor expansion of 1/3 in n
48.999 * [backup-simplify]: Simplify 1/3 into 1/3
48.999 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
48.999 * [taylor]: Taking taylor expansion of (/ PI n) in n
48.999 * [taylor]: Taking taylor expansion of PI in n
48.999 * [backup-simplify]: Simplify PI into PI
48.999 * [taylor]: Taking taylor expansion of n in n
48.999 * [backup-simplify]: Simplify 0 into 0
48.999 * [backup-simplify]: Simplify 1 into 1
48.999 * [backup-simplify]: Simplify (/ PI 1) into PI
49.000 * [backup-simplify]: Simplify (log PI) into (log PI)
49.001 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.001 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
49.002 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
49.002 * [taylor]: Taking taylor expansion of (cbrt 2) in n
49.002 * [taylor]: Taking taylor expansion of 2 in n
49.002 * [backup-simplify]: Simplify 2 into 2
49.002 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
49.003 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
49.004 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (cbrt 2)) into (* (cbrt 2) (exp (* 1/3 (- (log PI) (log n)))))
49.005 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (- (log PI) (log n))))) into (* (cbrt 2) (exp (* 1/3 (- (log PI) (log n)))))
49.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
49.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
49.008 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.009 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log PI) (log n)))) into 0
49.010 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
49.011 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (* 0 (cbrt 2))) into 0
49.011 * [backup-simplify]: Simplify 0 into 0
49.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
49.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.017 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
49.018 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.019 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))) into 0
49.022 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
49.023 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0
49.023 * [backup-simplify]: Simplify 0 into 0
49.024 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
49.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.028 * [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
49.028 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.029 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))) into 0
49.031 * [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
49.032 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))) into 0
49.032 * [backup-simplify]: Simplify 0 into 0
49.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
49.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.039 * [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
49.040 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.041 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))) into 0
49.043 * [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
49.044 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2)))))) into 0
49.044 * [backup-simplify]: Simplify 0 into 0
49.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
49.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.073 * [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
49.074 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.077 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))))) into 0
49.081 * [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
49.083 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))))) into 0
49.083 * [backup-simplify]: Simplify 0 into 0
49.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
49.086 * [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
49.119 * [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
49.120 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.123 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))))) into 0
49.129 * [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
49.132 * [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
49.132 * [backup-simplify]: Simplify 0 into 0
49.133 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (- (log PI) (log (/ 1 n)))))) into (* (exp (* 1/3 (- (log PI) (log (/ 1 n))))) (cbrt 2))
49.134 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- n)) (* 2 PI))) into (* (cbrt -2) (pow (/ PI n) 1/3))
49.134 * [approximate]: Taking taylor expansion of (* (cbrt -2) (pow (/ PI n) 1/3)) in (n) around 0
49.134 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ PI n) 1/3)) in n
49.134 * [taylor]: Taking taylor expansion of (cbrt -2) in n
49.134 * [taylor]: Taking taylor expansion of -2 in n
49.134 * [backup-simplify]: Simplify -2 into -2
49.134 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2)
49.135 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0
49.135 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
49.135 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
49.135 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
49.135 * [taylor]: Taking taylor expansion of 1/3 in n
49.135 * [backup-simplify]: Simplify 1/3 into 1/3
49.135 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
49.135 * [taylor]: Taking taylor expansion of (/ PI n) in n
49.135 * [taylor]: Taking taylor expansion of PI in n
49.135 * [backup-simplify]: Simplify PI into PI
49.135 * [taylor]: Taking taylor expansion of n in n
49.135 * [backup-simplify]: Simplify 0 into 0
49.135 * [backup-simplify]: Simplify 1 into 1
49.136 * [backup-simplify]: Simplify (/ PI 1) into PI
49.136 * [backup-simplify]: Simplify (log PI) into (log PI)
49.136 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.137 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
49.137 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
49.137 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ PI n) 1/3)) in n
49.137 * [taylor]: Taking taylor expansion of (cbrt -2) in n
49.137 * [taylor]: Taking taylor expansion of -2 in n
49.137 * [backup-simplify]: Simplify -2 into -2
49.137 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2)
49.138 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0
49.138 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
49.138 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
49.138 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
49.138 * [taylor]: Taking taylor expansion of 1/3 in n
49.138 * [backup-simplify]: Simplify 1/3 into 1/3
49.138 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
49.138 * [taylor]: Taking taylor expansion of (/ PI n) in n
49.138 * [taylor]: Taking taylor expansion of PI in n
49.138 * [backup-simplify]: Simplify PI into PI
49.138 * [taylor]: Taking taylor expansion of n in n
49.138 * [backup-simplify]: Simplify 0 into 0
49.138 * [backup-simplify]: Simplify 1 into 1
49.138 * [backup-simplify]: Simplify (/ PI 1) into PI
49.139 * [backup-simplify]: Simplify (log PI) into (log PI)
49.139 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.140 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
49.140 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
49.141 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n))))) into (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n)))))
49.141 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n))))) into (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n)))))
49.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
49.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
49.143 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.144 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log PI) (log n)))) into 0
49.144 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
49.145 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (exp (* 1/3 (- (log PI) (log n)))))) into 0
49.145 * [backup-simplify]: Simplify 0 into 0
49.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
49.148 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.148 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))) into 0
49.149 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
49.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0
49.151 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n))))))) into 0
49.151 * [backup-simplify]: Simplify 0 into 0
49.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.155 * [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
49.155 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.156 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))) into 0
49.158 * [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
49.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -2))) into 0
49.159 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n)))))))) into 0
49.160 * [backup-simplify]: Simplify 0 into 0
49.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.169 * [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
49.170 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.172 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))) into 0
49.175 * [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
49.177 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0
49.179 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n))))))))) into 0
49.179 * [backup-simplify]: Simplify 0 into 0
49.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.204 * [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
49.205 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.206 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))))) into 0
49.209 * [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
49.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -2))) into 0
49.211 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n)))))))))) into 0
49.211 * [backup-simplify]: Simplify 0 into 0
49.212 * [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
49.229 * [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
49.230 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.232 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))))) into 0
49.236 * [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
49.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0
49.239 * [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
49.239 * [backup-simplify]: Simplify 0 into 0
49.239 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log PI) (log (/ 1 (- n))))))) into (* (cbrt -2) (exp (* 1/3 (- (log PI) (log (/ -1 n))))))
49.240 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2)
49.240 * [backup-simplify]: Simplify (cbrt (* n (* 2 PI))) into (* (pow (* PI n) 1/3) (cbrt 2))
49.240 * [approximate]: Taking taylor expansion of (* (pow (* PI n) 1/3) (cbrt 2)) in (n) around 0
49.240 * [taylor]: Taking taylor expansion of (* (pow (* PI n) 1/3) (cbrt 2)) in n
49.240 * [taylor]: Taking taylor expansion of (pow (* PI n) 1/3) in n
49.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* PI n)))) in n
49.240 * [taylor]: Taking taylor expansion of (* 1/3 (log (* PI n))) in n
49.240 * [taylor]: Taking taylor expansion of 1/3 in n
49.240 * [backup-simplify]: Simplify 1/3 into 1/3
49.240 * [taylor]: Taking taylor expansion of (log (* PI n)) in n
49.240 * [taylor]: Taking taylor expansion of (* PI n) in n
49.240 * [taylor]: Taking taylor expansion of PI in n
49.240 * [backup-simplify]: Simplify PI into PI
49.240 * [taylor]: Taking taylor expansion of n in n
49.240 * [backup-simplify]: Simplify 0 into 0
49.240 * [backup-simplify]: Simplify 1 into 1
49.241 * [backup-simplify]: Simplify (* PI 0) into 0
49.241 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
49.242 * [backup-simplify]: Simplify (log PI) into (log PI)
49.242 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
49.243 * [backup-simplify]: Simplify (* 1/3 (+ (log PI) (log n))) into (* 1/3 (+ (log PI) (log n)))
49.243 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log PI) (log n)))) into (exp (* 1/3 (+ (log PI) (log n))))
49.243 * [taylor]: Taking taylor expansion of (cbrt 2) in n
49.243 * [taylor]: Taking taylor expansion of 2 in n
49.243 * [backup-simplify]: Simplify 2 into 2
49.243 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
49.244 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
49.244 * [taylor]: Taking taylor expansion of (* (pow (* PI n) 1/3) (cbrt 2)) in n
49.244 * [taylor]: Taking taylor expansion of (pow (* PI n) 1/3) in n
49.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* PI n)))) in n
49.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (* PI n))) in n
49.244 * [taylor]: Taking taylor expansion of 1/3 in n
49.244 * [backup-simplify]: Simplify 1/3 into 1/3
49.244 * [taylor]: Taking taylor expansion of (log (* PI n)) in n
49.244 * [taylor]: Taking taylor expansion of (* PI n) in n
49.244 * [taylor]: Taking taylor expansion of PI in n
49.244 * [backup-simplify]: Simplify PI into PI
49.244 * [taylor]: Taking taylor expansion of n in n
49.244 * [backup-simplify]: Simplify 0 into 0
49.244 * [backup-simplify]: Simplify 1 into 1
49.244 * [backup-simplify]: Simplify (* PI 0) into 0
49.245 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
49.245 * [backup-simplify]: Simplify (log PI) into (log PI)
49.246 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
49.246 * [backup-simplify]: Simplify (* 1/3 (+ (log PI) (log n))) into (* 1/3 (+ (log PI) (log n)))
49.246 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log PI) (log n)))) into (exp (* 1/3 (+ (log PI) (log n))))
49.246 * [taylor]: Taking taylor expansion of (cbrt 2) in n
49.246 * [taylor]: Taking taylor expansion of 2 in n
49.246 * [backup-simplify]: Simplify 2 into 2
49.247 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
49.247 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
49.248 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (cbrt 2)) into (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
49.248 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n))))) into (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
49.249 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
49.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
49.250 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
49.251 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log PI) (log n)))) into 0
49.252 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
49.252 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (* 0 (cbrt 2))) into 0
49.252 * [backup-simplify]: Simplify 0 into 0
49.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
49.254 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
49.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
49.256 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
49.257 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))) into 0
49.258 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
49.259 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0
49.259 * [backup-simplify]: Simplify 0 into 0
49.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
49.261 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
49.265 * [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
49.266 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
49.267 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n)))))) into 0
49.269 * [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
49.270 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))) into 0
49.270 * [backup-simplify]: Simplify 0 into 0
49.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
49.274 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
49.285 * [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
49.286 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
49.288 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))))) into 0
49.290 * [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
49.291 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2)))))) into 0
49.291 * [backup-simplify]: Simplify 0 into 0
49.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
49.292 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
49.308 * [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
49.309 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
49.310 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n)))))))) into 0
49.312 * [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
49.314 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))))) into 0
49.314 * [backup-simplify]: Simplify 0 into 0
49.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
49.316 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
49.350 * [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
49.351 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
49.354 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))))))) into 0
49.360 * [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
49.362 * [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
49.362 * [backup-simplify]: Simplify 0 into 0
49.363 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n))))) into (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
49.364 * [backup-simplify]: Simplify (cbrt (* (/ 1 n) (* 2 PI))) into (* (pow (/ PI n) 1/3) (cbrt 2))
49.364 * [approximate]: Taking taylor expansion of (* (pow (/ PI n) 1/3) (cbrt 2)) in (n) around 0
49.364 * [taylor]: Taking taylor expansion of (* (pow (/ PI n) 1/3) (cbrt 2)) in n
49.364 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
49.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
49.364 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
49.364 * [taylor]: Taking taylor expansion of 1/3 in n
49.364 * [backup-simplify]: Simplify 1/3 into 1/3
49.364 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
49.364 * [taylor]: Taking taylor expansion of (/ PI n) in n
49.364 * [taylor]: Taking taylor expansion of PI in n
49.364 * [backup-simplify]: Simplify PI into PI
49.364 * [taylor]: Taking taylor expansion of n in n
49.364 * [backup-simplify]: Simplify 0 into 0
49.364 * [backup-simplify]: Simplify 1 into 1
49.364 * [backup-simplify]: Simplify (/ PI 1) into PI
49.365 * [backup-simplify]: Simplify (log PI) into (log PI)
49.365 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.365 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
49.366 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
49.366 * [taylor]: Taking taylor expansion of (cbrt 2) in n
49.366 * [taylor]: Taking taylor expansion of 2 in n
49.366 * [backup-simplify]: Simplify 2 into 2
49.366 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
49.367 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
49.367 * [taylor]: Taking taylor expansion of (* (pow (/ PI n) 1/3) (cbrt 2)) in n
49.367 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
49.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
49.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
49.367 * [taylor]: Taking taylor expansion of 1/3 in n
49.367 * [backup-simplify]: Simplify 1/3 into 1/3
49.367 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
49.367 * [taylor]: Taking taylor expansion of (/ PI n) in n
49.367 * [taylor]: Taking taylor expansion of PI in n
49.367 * [backup-simplify]: Simplify PI into PI
49.367 * [taylor]: Taking taylor expansion of n in n
49.367 * [backup-simplify]: Simplify 0 into 0
49.367 * [backup-simplify]: Simplify 1 into 1
49.367 * [backup-simplify]: Simplify (/ PI 1) into PI
49.368 * [backup-simplify]: Simplify (log PI) into (log PI)
49.368 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.369 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
49.369 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
49.369 * [taylor]: Taking taylor expansion of (cbrt 2) in n
49.369 * [taylor]: Taking taylor expansion of 2 in n
49.369 * [backup-simplify]: Simplify 2 into 2
49.369 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
49.370 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
49.370 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (cbrt 2)) into (* (cbrt 2) (exp (* 1/3 (- (log PI) (log n)))))
49.371 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (- (log PI) (log n))))) into (* (cbrt 2) (exp (* 1/3 (- (log PI) (log n)))))
49.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
49.372 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
49.373 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.373 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log PI) (log n)))) into 0
49.374 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
49.375 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (* 0 (cbrt 2))) into 0
49.375 * [backup-simplify]: Simplify 0 into 0
49.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
49.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.378 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
49.378 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.379 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))) into 0
49.380 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
49.381 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0
49.381 * [backup-simplify]: Simplify 0 into 0
49.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
49.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.386 * [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
49.387 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.389 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))) into 0
49.391 * [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
49.392 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))) into 0
49.392 * [backup-simplify]: Simplify 0 into 0
49.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
49.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.407 * [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
49.408 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.410 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))) into 0
49.413 * [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
49.415 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2)))))) into 0
49.415 * [backup-simplify]: Simplify 0 into 0
49.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
49.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.442 * [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
49.443 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.444 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))))) into 0
49.447 * [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
49.448 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))))) into 0
49.448 * [backup-simplify]: Simplify 0 into 0
49.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
49.449 * [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
49.470 * [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
49.471 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.474 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))))) into 0
49.481 * [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
49.483 * [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
49.483 * [backup-simplify]: Simplify 0 into 0
49.484 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (- (log PI) (log (/ 1 n)))))) into (* (exp (* 1/3 (- (log PI) (log (/ 1 n))))) (cbrt 2))
49.484 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- n)) (* 2 PI))) into (* (cbrt -2) (pow (/ PI n) 1/3))
49.484 * [approximate]: Taking taylor expansion of (* (cbrt -2) (pow (/ PI n) 1/3)) in (n) around 0
49.484 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ PI n) 1/3)) in n
49.484 * [taylor]: Taking taylor expansion of (cbrt -2) in n
49.484 * [taylor]: Taking taylor expansion of -2 in n
49.485 * [backup-simplify]: Simplify -2 into -2
49.485 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2)
49.486 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0
49.486 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
49.486 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
49.486 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
49.486 * [taylor]: Taking taylor expansion of 1/3 in n
49.486 * [backup-simplify]: Simplify 1/3 into 1/3
49.486 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
49.486 * [taylor]: Taking taylor expansion of (/ PI n) in n
49.486 * [taylor]: Taking taylor expansion of PI in n
49.486 * [backup-simplify]: Simplify PI into PI
49.486 * [taylor]: Taking taylor expansion of n in n
49.486 * [backup-simplify]: Simplify 0 into 0
49.486 * [backup-simplify]: Simplify 1 into 1
49.486 * [backup-simplify]: Simplify (/ PI 1) into PI
49.486 * [backup-simplify]: Simplify (log PI) into (log PI)
49.487 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.487 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
49.487 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
49.488 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ PI n) 1/3)) in n
49.488 * [taylor]: Taking taylor expansion of (cbrt -2) in n
49.488 * [taylor]: Taking taylor expansion of -2 in n
49.488 * [backup-simplify]: Simplify -2 into -2
49.488 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2)
49.488 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0
49.488 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
49.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
49.488 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
49.488 * [taylor]: Taking taylor expansion of 1/3 in n
49.488 * [backup-simplify]: Simplify 1/3 into 1/3
49.488 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
49.488 * [taylor]: Taking taylor expansion of (/ PI n) in n
49.488 * [taylor]: Taking taylor expansion of PI in n
49.488 * [backup-simplify]: Simplify PI into PI
49.489 * [taylor]: Taking taylor expansion of n in n
49.489 * [backup-simplify]: Simplify 0 into 0
49.489 * [backup-simplify]: Simplify 1 into 1
49.489 * [backup-simplify]: Simplify (/ PI 1) into PI
49.489 * [backup-simplify]: Simplify (log PI) into (log PI)
49.490 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.490 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
49.491 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
49.491 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n))))) into (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n)))))
49.492 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n))))) into (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n)))))
49.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
49.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
49.494 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.495 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log PI) (log n)))) into 0
49.495 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
49.496 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (exp (* 1/3 (- (log PI) (log n)))))) into 0
49.496 * [backup-simplify]: Simplify 0 into 0
49.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.498 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
49.499 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.500 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))) into 0
49.501 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
49.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0
49.502 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n))))))) into 0
49.502 * [backup-simplify]: Simplify 0 into 0
49.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.506 * [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
49.507 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.508 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))) into 0
49.509 * [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
49.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -2))) into 0
49.511 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n)))))))) into 0
49.511 * [backup-simplify]: Simplify 0 into 0
49.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.523 * [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
49.524 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.526 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))) into 0
49.530 * [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
49.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0
49.534 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n))))))))) into 0
49.534 * [backup-simplify]: Simplify 0 into 0
49.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.554 * [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
49.563 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.565 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))))) into 0
49.569 * [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
49.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -2))) into 0
49.571 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n)))))))))) into 0
49.571 * [backup-simplify]: Simplify 0 into 0
49.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
49.589 * [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
49.590 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
49.591 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))))) into 0
49.595 * [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
49.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0
49.599 * [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
49.599 * [backup-simplify]: Simplify 0 into 0
49.600 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log PI) (log (/ 1 (- n))))))) into (* (cbrt -2) (exp (* 1/3 (- (log PI) (log (/ -1 n))))))
49.600 * * * [progress]: simplifying candidates
49.600 * * * * [progress]: [ 1 / 228 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
49.601 * * * * [progress]: [ 2 / 228 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
49.601 * * * * [progress]: [ 3 / 228 ] 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))))>
49.601 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
49.601 * * [simplify]: iters left: 6 (14 enodes)
49.609 * * [simplify]: iters left: 5 (60 enodes)
49.621 * * [simplify]: iters left: 4 (108 enodes)
49.651 * * [simplify]: iters left: 3 (255 enodes)
49.760 * * [simplify]: Extracting #0: cost 1 inf + 0
49.760 * * [simplify]: Extracting #1: cost 34 inf + 0
49.760 * * [simplify]: Extracting #2: cost 122 inf + 73
49.761 * * [simplify]: Extracting #3: cost 134 inf + 2876
49.764 * * [simplify]: Extracting #4: cost 49 inf + 20493
49.774 * * [simplify]: Extracting #5: cost 4 inf + 30853
49.781 * * [simplify]: Extracting #6: cost 0 inf + 31808
49.788 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))
49.788 * [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 (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))) (sqrt k))))
49.789 * * * * [progress]: [ 4 / 228 ] 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))))>
49.789 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
49.789 * * [simplify]: iters left: 6 (13 enodes)
49.798 * * [simplify]: iters left: 5 (58 enodes)
49.812 * * [simplify]: iters left: 4 (101 enodes)
49.838 * * [simplify]: iters left: 3 (211 enodes)
49.918 * * [simplify]: Extracting #0: cost 1 inf + 0
49.918 * * [simplify]: Extracting #1: cost 28 inf + 0
49.919 * * [simplify]: Extracting #2: cost 110 inf + 73
49.920 * * [simplify]: Extracting #3: cost 127 inf + 1744
49.923 * * [simplify]: Extracting #4: cost 73 inf + 10230
49.930 * * [simplify]: Extracting #5: cost 26 inf + 20266
49.936 * * [simplify]: Extracting #6: cost 6 inf + 24692
49.942 * * [simplify]: Extracting #7: cost 0 inf + 26084
49.947 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))
49.947 * [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 (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (sqrt k))))
49.947 * * * * [progress]: [ 5 / 228 ] 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))))>
49.948 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
49.948 * * [simplify]: iters left: 6 (12 enodes)
49.952 * * [simplify]: iters left: 5 (57 enodes)
49.967 * * [simplify]: iters left: 4 (111 enodes)
49.995 * * [simplify]: iters left: 3 (214 enodes)
50.052 * * [simplify]: iters left: 2 (472 enodes)
50.209 * * [simplify]: Extracting #0: cost 1 inf + 0
50.210 * * [simplify]: Extracting #1: cost 40 inf + 0
50.211 * * [simplify]: Extracting #2: cost 158 inf + 4
50.213 * * [simplify]: Extracting #3: cost 193 inf + 1443
50.222 * * [simplify]: Extracting #4: cost 88 inf + 19136
50.243 * * [simplify]: Extracting #5: cost 7 inf + 36795
50.252 * * [simplify]: Extracting #6: cost 0 inf + 38243
50.262 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
50.262 * [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))))
50.262 * * * * [progress]: [ 6 / 228 ] 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))))>
50.262 * * * * [progress]: [ 7 / 228 ] 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))))>
50.263 * [simplify]: Simplifying (* n (* 2 PI))
50.264 * * [simplify]: iters left: 4 (5 enodes)
50.266 * * [simplify]: iters left: 3 (19 enodes)
50.270 * * [simplify]: iters left: 2 (27 enodes)
50.275 * * [simplify]: iters left: 1 (32 enodes)
50.280 * * [simplify]: Extracting #0: cost 1 inf + 0
50.280 * * [simplify]: Extracting #1: cost 8 inf + 0
50.280 * * [simplify]: Extracting #2: cost 7 inf + 45
50.280 * * [simplify]: Extracting #3: cost 0 inf + 421
50.280 * [simplify]: Simplified to (* (* PI 2) n)
50.280 * [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))))
50.281 * * * * [progress]: [ 8 / 228 ] 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))))>
50.281 * [simplify]: Simplifying (* n (* 2 PI))
50.281 * * [simplify]: iters left: 4 (5 enodes)
50.282 * * [simplify]: iters left: 3 (19 enodes)
50.288 * * [simplify]: iters left: 2 (27 enodes)
50.296 * * [simplify]: iters left: 1 (32 enodes)
50.305 * * [simplify]: Extracting #0: cost 1 inf + 0
50.305 * * [simplify]: Extracting #1: cost 8 inf + 0
50.305 * * [simplify]: Extracting #2: cost 7 inf + 45
50.305 * * [simplify]: Extracting #3: cost 0 inf + 421
50.306 * [simplify]: Simplified to (* (* PI 2) n)
50.306 * [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))))
50.306 * * * * [progress]: [ 9 / 228 ] 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))))>
50.306 * [simplify]: Simplifying (* n (* 2 PI))
50.306 * * [simplify]: iters left: 4 (5 enodes)
50.309 * * [simplify]: iters left: 3 (19 enodes)
50.316 * * [simplify]: iters left: 2 (27 enodes)
50.325 * * [simplify]: iters left: 1 (32 enodes)
50.334 * * [simplify]: Extracting #0: cost 1 inf + 0
50.334 * * [simplify]: Extracting #1: cost 8 inf + 0
50.334 * * [simplify]: Extracting #2: cost 7 inf + 45
50.335 * * [simplify]: Extracting #3: cost 0 inf + 421
50.335 * [simplify]: Simplified to (* (* PI 2) n)
50.335 * [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))))
50.335 * * * * [progress]: [ 10 / 228 ] 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))))>
50.336 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
50.336 * * [simplify]: iters left: 5 (9 enodes)
50.342 * * [simplify]: iters left: 4 (37 enodes)
50.357 * * [simplify]: iters left: 3 (57 enodes)
50.377 * * [simplify]: iters left: 2 (93 enodes)
50.409 * * [simplify]: iters left: 1 (170 enodes)
50.469 * * [simplify]: Extracting #0: cost 1 inf + 0
50.469 * * [simplify]: Extracting #1: cost 13 inf + 0
50.470 * * [simplify]: Extracting #2: cost 59 inf + 1
50.471 * * [simplify]: Extracting #3: cost 78 inf + 176
50.473 * * [simplify]: Extracting #4: cost 40 inf + 3875
50.477 * * [simplify]: Extracting #5: cost 7 inf + 16988
50.482 * * [simplify]: Extracting #6: cost 0 inf + 20577
50.487 * * [simplify]: Extracting #7: cost 0 inf + 20336
50.496 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
50.497 * [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))))
50.497 * * * * [progress]: [ 11 / 228 ] 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))))>
50.497 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
50.497 * * [simplify]: iters left: 6 (7 enodes)
50.502 * * [simplify]: iters left: 5 (32 enodes)
50.513 * * [simplify]: iters left: 4 (47 enodes)
50.526 * * [simplify]: iters left: 3 (53 enodes)
50.541 * * [simplify]: iters left: 2 (60 enodes)
50.556 * * [simplify]: Extracting #0: cost 1 inf + 0
50.556 * * [simplify]: Extracting #1: cost 3 inf + 0
50.556 * * [simplify]: Extracting #2: cost 11 inf + 0
50.556 * * [simplify]: Extracting #3: cost 17 inf + 3
50.557 * * [simplify]: Extracting #4: cost 14 inf + 129
50.557 * * [simplify]: Extracting #5: cost 3 inf + 794
50.557 * * [simplify]: Extracting #6: cost 0 inf + 1162
50.558 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
50.558 * [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) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (sqrt k))))
50.558 * * * * [progress]: [ 12 / 228 ] 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))))>
50.558 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
50.558 * * [simplify]: iters left: 6 (7 enodes)
50.563 * * [simplify]: iters left: 5 (32 enodes)
50.573 * * [simplify]: iters left: 4 (47 enodes)
50.586 * * [simplify]: iters left: 3 (53 enodes)
50.601 * * [simplify]: iters left: 2 (60 enodes)
50.616 * * [simplify]: Extracting #0: cost 1 inf + 0
50.616 * * [simplify]: Extracting #1: cost 3 inf + 0
50.616 * * [simplify]: Extracting #2: cost 11 inf + 0
50.616 * * [simplify]: Extracting #3: cost 17 inf + 3
50.616 * * [simplify]: Extracting #4: cost 14 inf + 129
50.617 * * [simplify]: Extracting #5: cost 3 inf + 794
50.617 * * [simplify]: Extracting #6: cost 0 inf + 1082
50.617 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
50.618 * [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))))
50.618 * * * * [progress]: [ 13 / 228 ] 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))))>
50.618 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
50.618 * * [simplify]: iters left: 6 (8 enodes)
50.623 * * [simplify]: iters left: 5 (32 enodes)
50.633 * * [simplify]: iters left: 4 (41 enodes)
50.648 * * [simplify]: Extracting #0: cost 1 inf + 0
50.648 * * [simplify]: Extracting #1: cost 4 inf + 0
50.648 * * [simplify]: Extracting #2: cost 8 inf + 0
50.648 * * [simplify]: Extracting #3: cost 9 inf + 163
50.648 * * [simplify]: Extracting #4: cost 13 inf + 164
50.649 * * [simplify]: Extracting #5: cost 10 inf + 249
50.649 * * [simplify]: Extracting #6: cost 3 inf + 986
50.649 * * [simplify]: Extracting #7: cost 0 inf + 1474
50.650 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
50.650 * [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))))
50.650 * * * * [progress]: [ 14 / 228 ] 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))))>
50.650 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
50.650 * * [simplify]: iters left: 6 (8 enodes)
50.655 * * [simplify]: iters left: 5 (32 enodes)
50.665 * * [simplify]: iters left: 4 (41 enodes)
50.677 * * [simplify]: Extracting #0: cost 1 inf + 0
50.677 * * [simplify]: Extracting #1: cost 4 inf + 0
50.677 * * [simplify]: Extracting #2: cost 8 inf + 0
50.677 * * [simplify]: Extracting #3: cost 9 inf + 83
50.677 * * [simplify]: Extracting #4: cost 13 inf + 84
50.678 * * [simplify]: Extracting #5: cost 10 inf + 169
50.678 * * [simplify]: Extracting #6: cost 3 inf + 866
50.678 * * [simplify]: Extracting #7: cost 0 inf + 1314
50.679 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
50.679 * [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))))
50.679 * * * * [progress]: [ 15 / 228 ] 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))))>
50.679 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
50.680 * * [simplify]: iters left: 6 (7 enodes)
50.684 * * [simplify]: iters left: 5 (29 enodes)
50.694 * * [simplify]: iters left: 4 (38 enodes)
50.705 * * [simplify]: Extracting #0: cost 1 inf + 0
50.705 * * [simplify]: Extracting #1: cost 4 inf + 0
50.705 * * [simplify]: Extracting #2: cost 5 inf + 1
50.705 * * [simplify]: Extracting #3: cost 9 inf + 1
50.706 * * [simplify]: Extracting #4: cost 13 inf + 2
50.706 * * [simplify]: Extracting #5: cost 12 inf + 4
50.706 * * [simplify]: Extracting #6: cost 2 inf + 746
50.706 * * [simplify]: Extracting #7: cost 0 inf + 1152
50.707 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
50.707 * [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))))
50.707 * * * * [progress]: [ 16 / 228 ] 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))))>
50.707 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
50.707 * * [simplify]: iters left: 6 (8 enodes)
50.711 * * [simplify]: iters left: 5 (32 enodes)
50.717 * * [simplify]: iters left: 4 (41 enodes)
50.725 * * [simplify]: Extracting #0: cost 1 inf + 0
50.725 * * [simplify]: Extracting #1: cost 4 inf + 0
50.725 * * [simplify]: Extracting #2: cost 8 inf + 0
50.725 * * [simplify]: Extracting #3: cost 9 inf + 163
50.725 * * [simplify]: Extracting #4: cost 13 inf + 164
50.725 * * [simplify]: Extracting #5: cost 10 inf + 249
50.725 * * [simplify]: Extracting #6: cost 3 inf + 906
50.726 * * [simplify]: Extracting #7: cost 0 inf + 1314
50.726 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
50.726 * [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))))
50.726 * * * * [progress]: [ 17 / 228 ] 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))))>
50.726 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
50.726 * * [simplify]: iters left: 6 (8 enodes)
50.730 * * [simplify]: iters left: 5 (32 enodes)
50.736 * * [simplify]: iters left: 4 (41 enodes)
50.744 * * [simplify]: Extracting #0: cost 1 inf + 0
50.744 * * [simplify]: Extracting #1: cost 4 inf + 0
50.744 * * [simplify]: Extracting #2: cost 8 inf + 0
50.744 * * [simplify]: Extracting #3: cost 9 inf + 83
50.744 * * [simplify]: Extracting #4: cost 13 inf + 84
50.745 * * [simplify]: Extracting #5: cost 10 inf + 169
50.745 * * [simplify]: Extracting #6: cost 3 inf + 786
50.745 * * [simplify]: Extracting #7: cost 0 inf + 1154
50.746 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
50.746 * [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))))
50.746 * * * * [progress]: [ 18 / 228 ] 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))))>
50.747 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
50.747 * * [simplify]: iters left: 6 (7 enodes)
50.752 * * [simplify]: iters left: 5 (29 enodes)
50.762 * * [simplify]: iters left: 4 (38 enodes)
50.778 * * [simplify]: Extracting #0: cost 1 inf + 0
50.778 * * [simplify]: Extracting #1: cost 4 inf + 0
50.778 * * [simplify]: Extracting #2: cost 5 inf + 1
50.778 * * [simplify]: Extracting #3: cost 9 inf + 1
50.778 * * [simplify]: Extracting #4: cost 13 inf + 2
50.778 * * [simplify]: Extracting #5: cost 12 inf + 4
50.779 * * [simplify]: Extracting #6: cost 2 inf + 666
50.779 * * [simplify]: Extracting #7: cost 0 inf + 992
50.779 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
50.780 * [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))))
50.780 * * * * [progress]: [ 19 / 228 ] 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))))>
50.780 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
50.780 * * [simplify]: iters left: 6 (8 enodes)
50.785 * * [simplify]: iters left: 5 (30 enodes)
50.796 * * [simplify]: iters left: 4 (37 enodes)
50.802 * * [simplify]: Extracting #0: cost 1 inf + 0
50.802 * * [simplify]: Extracting #1: cost 6 inf + 0
50.802 * * [simplify]: Extracting #2: cost 12 inf + 0
50.802 * * [simplify]: Extracting #3: cost 11 inf + 405
50.802 * * [simplify]: Extracting #4: cost 10 inf + 407
50.802 * * [simplify]: Extracting #5: cost 4 inf + 1220
50.803 * * [simplify]: Extracting #6: cost 0 inf + 1869
50.803 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
50.803 * [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))))
50.803 * * * * [progress]: [ 20 / 228 ] 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))))>
50.803 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
50.804 * * [simplify]: iters left: 6 (9 enodes)
50.807 * * [simplify]: iters left: 5 (33 enodes)
50.813 * * [simplify]: iters left: 4 (43 enodes)
50.821 * * [simplify]: iters left: 3 (45 enodes)
50.828 * * [simplify]: Extracting #0: cost 1 inf + 0
50.828 * * [simplify]: Extracting #1: cost 8 inf + 0
50.828 * * [simplify]: Extracting #2: cost 16 inf + 0
50.829 * * [simplify]: Extracting #3: cost 16 inf + 284
50.829 * * [simplify]: Extracting #4: cost 11 inf + 610
50.829 * * [simplify]: Extracting #5: cost 8 inf + 815
50.829 * * [simplify]: Extracting #6: cost 0 inf + 2517
50.829 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
50.830 * [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))))
50.830 * * * * [progress]: [ 21 / 228 ] 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))))>
50.830 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
50.830 * * [simplify]: iters left: 6 (8 enodes)
50.833 * * [simplify]: iters left: 5 (30 enodes)
50.839 * * [simplify]: iters left: 4 (40 enodes)
50.846 * * [simplify]: iters left: 3 (42 enodes)
50.854 * * [simplify]: Extracting #0: cost 1 inf + 0
50.854 * * [simplify]: Extracting #1: cost 8 inf + 0
50.854 * * [simplify]: Extracting #2: cost 12 inf + 82
50.854 * * [simplify]: Extracting #3: cost 13 inf + 405
50.854 * * [simplify]: Extracting #4: cost 12 inf + 407
50.854 * * [simplify]: Extracting #5: cost 5 inf + 1383
50.854 * * [simplify]: Extracting #6: cost 0 inf + 2195
50.855 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
50.855 * [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))))
50.855 * * * * [progress]: [ 22 / 228 ] 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))))>
50.855 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
50.855 * * [simplify]: iters left: 6 (9 enodes)
50.858 * * [simplify]: iters left: 5 (33 enodes)
50.865 * * [simplify]: iters left: 4 (43 enodes)
50.879 * * [simplify]: iters left: 3 (45 enodes)
50.898 * * [simplify]: Extracting #0: cost 1 inf + 0
50.898 * * [simplify]: Extracting #1: cost 8 inf + 0
50.898 * * [simplify]: Extracting #2: cost 16 inf + 0
50.898 * * [simplify]: Extracting #3: cost 16 inf + 284
50.898 * * [simplify]: Extracting #4: cost 11 inf + 610
50.898 * * [simplify]: Extracting #5: cost 8 inf + 815
50.899 * * [simplify]: Extracting #6: cost 0 inf + 2517
50.900 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
50.900 * [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))))
50.900 * * * * [progress]: [ 23 / 228 ] 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))))>
50.901 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
50.901 * * [simplify]: iters left: 6 (8 enodes)
50.906 * * [simplify]: iters left: 5 (30 enodes)
50.916 * * [simplify]: iters left: 4 (35 enodes)
50.926 * * [simplify]: Extracting #0: cost 1 inf + 0
50.926 * * [simplify]: Extracting #1: cost 6 inf + 0
50.926 * * [simplify]: Extracting #2: cost 8 inf + 42
50.926 * * [simplify]: Extracting #3: cost 11 inf + 83
50.926 * * [simplify]: Extracting #4: cost 10 inf + 85
50.926 * * [simplify]: Extracting #5: cost 4 inf + 658
50.926 * * [simplify]: Extracting #6: cost 0 inf + 1227
50.927 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
50.927 * [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))))
50.927 * * * * [progress]: [ 24 / 228 ] 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))))>
50.927 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
50.927 * * [simplify]: iters left: 6 (8 enodes)
50.930 * * [simplify]: iters left: 5 (30 enodes)
50.935 * * [simplify]: iters left: 4 (40 enodes)
50.942 * * [simplify]: iters left: 3 (42 enodes)
50.949 * * [simplify]: Extracting #0: cost 1 inf + 0
50.949 * * [simplify]: Extracting #1: cost 8 inf + 0
50.949 * * [simplify]: Extracting #2: cost 12 inf + 42
50.949 * * [simplify]: Extracting #3: cost 13 inf + 245
50.949 * * [simplify]: Extracting #4: cost 12 inf + 247
50.949 * * [simplify]: Extracting #5: cost 5 inf + 1143
50.950 * * [simplify]: Extracting #6: cost 0 inf + 1875
50.950 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
50.950 * [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))))
50.950 * * * * [progress]: [ 25 / 228 ] 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))))>
50.950 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
50.950 * * [simplify]: iters left: 6 (8 enodes)
50.953 * * [simplify]: iters left: 5 (30 enodes)
50.959 * * [simplify]: iters left: 4 (40 enodes)
50.966 * * [simplify]: iters left: 3 (42 enodes)
50.975 * * [simplify]: Extracting #0: cost 1 inf + 0
50.975 * * [simplify]: Extracting #1: cost 8 inf + 0
50.975 * * [simplify]: Extracting #2: cost 11 inf + 203
50.975 * * [simplify]: Extracting #3: cost 13 inf + 405
50.975 * * [simplify]: Extracting #4: cost 12 inf + 407
50.976 * * [simplify]: Extracting #5: cost 3 inf + 1789
50.976 * * [simplify]: Extracting #6: cost 0 inf + 2195
50.977 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
50.977 * [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))))
50.977 * * * * [progress]: [ 26 / 228 ] 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))))>
50.978 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
50.978 * * [simplify]: iters left: 6 (8 enodes)
50.982 * * [simplify]: iters left: 5 (30 enodes)
50.993 * * [simplify]: iters left: 4 (40 enodes)
51.005 * * [simplify]: iters left: 3 (42 enodes)
51.022 * * [simplify]: Extracting #0: cost 1 inf + 0
51.022 * * [simplify]: Extracting #1: cost 8 inf + 0
51.022 * * [simplify]: Extracting #2: cost 11 inf + 123
51.022 * * [simplify]: Extracting #3: cost 13 inf + 245
51.023 * * [simplify]: Extracting #4: cost 12 inf + 247
51.023 * * [simplify]: Extracting #5: cost 3 inf + 1509
51.024 * * [simplify]: Extracting #6: cost 0 inf + 1875
51.024 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
51.024 * [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))))
51.025 * * * * [progress]: [ 27 / 228 ] 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))))>
51.025 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
51.025 * * [simplify]: iters left: 6 (7 enodes)
51.029 * * [simplify]: iters left: 5 (28 enodes)
51.039 * * [simplify]: iters left: 4 (35 enodes)
51.050 * * [simplify]: Extracting #0: cost 1 inf + 0
51.050 * * [simplify]: Extracting #1: cost 6 inf + 0
51.050 * * [simplify]: Extracting #2: cost 7 inf + 2
51.050 * * [simplify]: Extracting #3: cost 11 inf + 2
51.050 * * [simplify]: Extracting #4: cost 9 inf + 45
51.050 * * [simplify]: Extracting #5: cost 4 inf + 455
51.050 * * [simplify]: Extracting #6: cost 0 inf + 1066
51.051 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
51.051 * [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))))
51.051 * * * * [progress]: [ 28 / 228 ] 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))))>
51.051 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
51.052 * * [simplify]: iters left: 6 (8 enodes)
51.057 * * [simplify]: iters left: 5 (30 enodes)
51.067 * * [simplify]: iters left: 4 (37 enodes)
51.079 * * [simplify]: Extracting #0: cost 1 inf + 0
51.079 * * [simplify]: Extracting #1: cost 6 inf + 0
51.079 * * [simplify]: Extracting #2: cost 12 inf + 0
51.079 * * [simplify]: Extracting #3: cost 11 inf + 405
51.079 * * [simplify]: Extracting #4: cost 10 inf + 407
51.079 * * [simplify]: Extracting #5: cost 4 inf + 1100
51.080 * * [simplify]: Extracting #6: cost 0 inf + 1629
51.080 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
51.080 * [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))))
51.081 * * * * [progress]: [ 29 / 228 ] 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))))>
51.081 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
51.081 * * [simplify]: iters left: 6 (9 enodes)
51.087 * * [simplify]: iters left: 5 (33 enodes)
51.098 * * [simplify]: iters left: 4 (43 enodes)
51.112 * * [simplify]: iters left: 3 (45 enodes)
51.128 * * [simplify]: Extracting #0: cost 1 inf + 0
51.128 * * [simplify]: Extracting #1: cost 8 inf + 0
51.128 * * [simplify]: Extracting #2: cost 16 inf + 0
51.128 * * [simplify]: Extracting #3: cost 16 inf + 284
51.128 * * [simplify]: Extracting #4: cost 11 inf + 610
51.129 * * [simplify]: Extracting #5: cost 8 inf + 775
51.129 * * [simplify]: Extracting #6: cost 0 inf + 2197
51.130 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
51.130 * [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))))
51.131 * * * * [progress]: [ 30 / 228 ] 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))))>
51.131 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
51.131 * * [simplify]: iters left: 6 (8 enodes)
51.136 * * [simplify]: iters left: 5 (30 enodes)
51.146 * * [simplify]: iters left: 4 (40 enodes)
51.158 * * [simplify]: iters left: 3 (42 enodes)
51.171 * * [simplify]: Extracting #0: cost 1 inf + 0
51.171 * * [simplify]: Extracting #1: cost 8 inf + 0
51.171 * * [simplify]: Extracting #2: cost 12 inf + 82
51.172 * * [simplify]: Extracting #3: cost 13 inf + 405
51.172 * * [simplify]: Extracting #4: cost 12 inf + 407
51.172 * * [simplify]: Extracting #5: cost 5 inf + 1223
51.173 * * [simplify]: Extracting #6: cost 0 inf + 1875
51.173 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
51.173 * [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))))
51.174 * * * * [progress]: [ 31 / 228 ] 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))))>
51.174 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
51.174 * * [simplify]: iters left: 6 (9 enodes)
51.184 * * [simplify]: iters left: 5 (33 enodes)
51.197 * * [simplify]: iters left: 4 (43 enodes)
51.211 * * [simplify]: iters left: 3 (45 enodes)
51.226 * * [simplify]: Extracting #0: cost 1 inf + 0
51.226 * * [simplify]: Extracting #1: cost 8 inf + 0
51.226 * * [simplify]: Extracting #2: cost 16 inf + 0
51.226 * * [simplify]: Extracting #3: cost 16 inf + 284
51.226 * * [simplify]: Extracting #4: cost 11 inf + 610
51.226 * * [simplify]: Extracting #5: cost 8 inf + 775
51.227 * * [simplify]: Extracting #6: cost 0 inf + 2197
51.228 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
51.228 * [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))))
51.228 * * * * [progress]: [ 32 / 228 ] 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))))>
51.228 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
51.229 * * [simplify]: iters left: 6 (8 enodes)
51.234 * * [simplify]: iters left: 5 (30 enodes)
51.245 * * [simplify]: iters left: 4 (35 enodes)
51.256 * * [simplify]: Extracting #0: cost 1 inf + 0
51.256 * * [simplify]: Extracting #1: cost 6 inf + 0
51.256 * * [simplify]: Extracting #2: cost 8 inf + 42
51.256 * * [simplify]: Extracting #3: cost 11 inf + 83
51.256 * * [simplify]: Extracting #4: cost 10 inf + 85
51.256 * * [simplify]: Extracting #5: cost 4 inf + 538
51.257 * * [simplify]: Extracting #6: cost 0 inf + 987
51.257 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
51.257 * [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))))
51.258 * * * * [progress]: [ 33 / 228 ] 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))))>
51.258 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
51.258 * * [simplify]: iters left: 6 (8 enodes)
51.263 * * [simplify]: iters left: 5 (30 enodes)
51.272 * * [simplify]: iters left: 4 (40 enodes)
51.283 * * [simplify]: iters left: 3 (42 enodes)
51.296 * * [simplify]: Extracting #0: cost 1 inf + 0
51.297 * * [simplify]: Extracting #1: cost 8 inf + 0
51.297 * * [simplify]: Extracting #2: cost 12 inf + 42
51.297 * * [simplify]: Extracting #3: cost 13 inf + 245
51.297 * * [simplify]: Extracting #4: cost 12 inf + 247
51.297 * * [simplify]: Extracting #5: cost 5 inf + 983
51.298 * * [simplify]: Extracting #6: cost 0 inf + 1555
51.299 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
51.299 * [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))))
51.299 * * * * [progress]: [ 34 / 228 ] 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))))>
51.299 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
51.299 * * [simplify]: iters left: 6 (8 enodes)
51.304 * * [simplify]: iters left: 5 (30 enodes)
51.315 * * [simplify]: iters left: 4 (40 enodes)
51.327 * * [simplify]: iters left: 3 (42 enodes)
51.341 * * [simplify]: Extracting #0: cost 1 inf + 0
51.341 * * [simplify]: Extracting #1: cost 8 inf + 0
51.341 * * [simplify]: Extracting #2: cost 11 inf + 203
51.341 * * [simplify]: Extracting #3: cost 13 inf + 405
51.341 * * [simplify]: Extracting #4: cost 12 inf + 407
51.341 * * [simplify]: Extracting #5: cost 3 inf + 1549
51.346 * * [simplify]: Extracting #6: cost 0 inf + 1875
51.346 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
51.346 * [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))))
51.347 * * * * [progress]: [ 35 / 228 ] 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))))>
51.347 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
51.347 * * [simplify]: iters left: 6 (8 enodes)
51.350 * * [simplify]: iters left: 5 (30 enodes)
51.356 * * [simplify]: iters left: 4 (40 enodes)
51.362 * * [simplify]: iters left: 3 (42 enodes)
51.369 * * [simplify]: Extracting #0: cost 1 inf + 0
51.369 * * [simplify]: Extracting #1: cost 8 inf + 0
51.369 * * [simplify]: Extracting #2: cost 11 inf + 123
51.369 * * [simplify]: Extracting #3: cost 13 inf + 245
51.370 * * [simplify]: Extracting #4: cost 12 inf + 247
51.370 * * [simplify]: Extracting #5: cost 3 inf + 1269
51.370 * * [simplify]: Extracting #6: cost 0 inf + 1555
51.370 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 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)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (sqrt k))))
51.371 * * * * [progress]: [ 36 / 228 ] 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))))>
51.371 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
51.371 * * [simplify]: iters left: 6 (7 enodes)
51.373 * * [simplify]: iters left: 5 (28 enodes)
51.379 * * [simplify]: iters left: 4 (35 enodes)
51.385 * * [simplify]: Extracting #0: cost 1 inf + 0
51.385 * * [simplify]: Extracting #1: cost 6 inf + 0
51.385 * * [simplify]: Extracting #2: cost 7 inf + 2
51.385 * * [simplify]: Extracting #3: cost 11 inf + 2
51.385 * * [simplify]: Extracting #4: cost 9 inf + 45
51.385 * * [simplify]: Extracting #5: cost 4 inf + 375
51.385 * * [simplify]: Extracting #6: cost 0 inf + 826
51.385 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
51.386 * [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))))
51.386 * * * * [progress]: [ 37 / 228 ] 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))))>
51.386 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
51.386 * * [simplify]: iters left: 6 (7 enodes)
51.389 * * [simplify]: iters left: 5 (30 enodes)
51.395 * * [simplify]: iters left: 4 (49 enodes)
51.403 * * [simplify]: iters left: 3 (59 enodes)
51.413 * * [simplify]: iters left: 2 (64 enodes)
51.423 * * [simplify]: Extracting #0: cost 1 inf + 0
51.423 * * [simplify]: Extracting #1: cost 9 inf + 0
51.423 * * [simplify]: Extracting #2: cost 23 inf + 0
51.423 * * [simplify]: Extracting #3: cost 24 inf + 3
51.423 * * [simplify]: Extracting #4: cost 15 inf + 980
51.424 * * [simplify]: Extracting #5: cost 1 inf + 3007
51.424 * * [simplify]: Extracting #6: cost 0 inf + 3169
51.425 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
51.425 * [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))))
51.425 * * * * [progress]: [ 38 / 228 ] 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))))>
51.425 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
51.425 * * [simplify]: iters left: 6 (8 enodes)
51.428 * * [simplify]: iters left: 5 (33 enodes)
51.437 * * [simplify]: iters left: 4 (55 enodes)
51.447 * * [simplify]: iters left: 3 (72 enodes)
51.459 * * [simplify]: iters left: 2 (84 enodes)
51.480 * * [simplify]: iters left: 1 (88 enodes)
51.504 * * [simplify]: Extracting #0: cost 1 inf + 0
51.504 * * [simplify]: Extracting #1: cost 11 inf + 0
51.504 * * [simplify]: Extracting #2: cost 30 inf + 0
51.504 * * [simplify]: Extracting #3: cost 33 inf + 84
51.505 * * [simplify]: Extracting #4: cost 12 inf + 2402
51.506 * * [simplify]: Extracting #5: cost 0 inf + 4469
51.508 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
51.508 * [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)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k))))
51.508 * * * * [progress]: [ 39 / 228 ] 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))))>
51.509 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
51.509 * * [simplify]: iters left: 6 (7 enodes)
51.513 * * [simplify]: iters left: 5 (30 enodes)
51.524 * * [simplify]: iters left: 4 (52 enodes)
51.541 * * [simplify]: iters left: 3 (70 enodes)
51.562 * * [simplify]: iters left: 2 (81 enodes)
51.578 * * [simplify]: iters left: 1 (84 enodes)
51.589 * * [simplify]: Extracting #0: cost 1 inf + 0
51.590 * * [simplify]: Extracting #1: cost 11 inf + 0
51.590 * * [simplify]: Extracting #2: cost 25 inf + 203
51.590 * * [simplify]: Extracting #3: cost 25 inf + 530
51.590 * * [simplify]: Extracting #4: cost 4 inf + 2936
51.591 * * [simplify]: Extracting #5: cost 0 inf + 3504
51.591 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
51.591 * [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))))
51.592 * * * * [progress]: [ 40 / 228 ] 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))))>
51.592 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
51.592 * * [simplify]: iters left: 6 (8 enodes)
51.595 * * [simplify]: iters left: 5 (33 enodes)
51.607 * * [simplify]: iters left: 4 (55 enodes)
51.625 * * [simplify]: iters left: 3 (72 enodes)
51.647 * * [simplify]: iters left: 2 (84 enodes)
51.669 * * [simplify]: iters left: 1 (88 enodes)
51.693 * * [simplify]: Extracting #0: cost 1 inf + 0
51.694 * * [simplify]: Extracting #1: cost 11 inf + 0
51.694 * * [simplify]: Extracting #2: cost 30 inf + 0
51.694 * * [simplify]: Extracting #3: cost 33 inf + 44
51.695 * * [simplify]: Extracting #4: cost 12 inf + 2362
51.696 * * [simplify]: Extracting #5: cost 0 inf + 4469
51.701 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
51.701 * [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))))
51.702 * * * * [progress]: [ 41 / 228 ] 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))))>
51.702 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
51.702 * * [simplify]: iters left: 6 (7 enodes)
51.707 * * [simplify]: iters left: 5 (30 enodes)
51.718 * * [simplify]: iters left: 4 (48 enodes)
51.733 * * [simplify]: iters left: 3 (56 enodes)
51.750 * * [simplify]: Extracting #0: cost 1 inf + 0
51.750 * * [simplify]: Extracting #1: cost 8 inf + 0
51.750 * * [simplify]: Extracting #2: cost 15 inf + 43
51.750 * * [simplify]: Extracting #3: cost 16 inf + 86
51.750 * * [simplify]: Extracting #4: cost 5 inf + 911
51.751 * * [simplify]: Extracting #5: cost 1 inf + 1198
51.752 * * [simplify]: Extracting #6: cost 0 inf + 1320
51.752 * [simplify]: Simplified to (/ (- 1 k) 2)
51.752 * [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))))
51.753 * * * * [progress]: [ 42 / 228 ] 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))))>
51.753 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
51.753 * * [simplify]: iters left: 6 (7 enodes)
51.758 * * [simplify]: iters left: 5 (30 enodes)
51.769 * * [simplify]: iters left: 4 (52 enodes)
51.786 * * [simplify]: iters left: 3 (70 enodes)
51.809 * * [simplify]: iters left: 2 (81 enodes)
51.833 * * [simplify]: iters left: 1 (84 enodes)
51.857 * * [simplify]: Extracting #0: cost 1 inf + 0
51.857 * * [simplify]: Extracting #1: cost 11 inf + 0
51.857 * * [simplify]: Extracting #2: cost 25 inf + 123
51.857 * * [simplify]: Extracting #3: cost 25 inf + 330
51.858 * * [simplify]: Extracting #4: cost 4 inf + 2256
51.860 * * [simplify]: Extracting #5: cost 0 inf + 2704
51.861 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
51.861 * [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))))
51.861 * * * * [progress]: [ 43 / 228 ] 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))))>
51.861 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
51.861 * * [simplify]: iters left: 6 (7 enodes)
51.870 * * [simplify]: iters left: 5 (31 enodes)
51.882 * * [simplify]: iters left: 4 (51 enodes)
51.899 * * [simplify]: iters left: 3 (64 enodes)
51.912 * * [simplify]: iters left: 2 (77 enodes)
51.924 * * [simplify]: iters left: 1 (84 enodes)
51.937 * * [simplify]: Extracting #0: cost 1 inf + 0
51.937 * * [simplify]: Extracting #1: cost 11 inf + 0
51.937 * * [simplify]: Extracting #2: cost 26 inf + 82
51.938 * * [simplify]: Extracting #3: cost 24 inf + 692
51.938 * * [simplify]: Extracting #4: cost 3 inf + 3057
51.940 * * [simplify]: Extracting #5: cost 0 inf + 3504
51.941 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
51.941 * [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))))
51.941 * * * * [progress]: [ 44 / 228 ] 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))))>
51.941 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
51.942 * * [simplify]: iters left: 6 (7 enodes)
51.947 * * [simplify]: iters left: 5 (31 enodes)
51.955 * * [simplify]: iters left: 4 (51 enodes)
51.964 * * [simplify]: iters left: 3 (64 enodes)
51.975 * * [simplify]: iters left: 2 (77 enodes)
52.001 * * [simplify]: iters left: 1 (84 enodes)
52.026 * * [simplify]: Extracting #0: cost 1 inf + 0
52.026 * * [simplify]: Extracting #1: cost 11 inf + 0
52.026 * * [simplify]: Extracting #2: cost 26 inf + 42
52.027 * * [simplify]: Extracting #3: cost 24 inf + 452
52.028 * * [simplify]: Extracting #4: cost 3 inf + 2337
52.029 * * [simplify]: Extracting #5: cost 0 inf + 2704
52.030 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
52.030 * [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))))
52.030 * * * * [progress]: [ 45 / 228 ] 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))))>
52.031 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
52.031 * * [simplify]: iters left: 6 (6 enodes)
52.036 * * [simplify]: iters left: 5 (29 enodes)
52.046 * * [simplify]: iters left: 4 (44 enodes)
52.061 * * [simplify]: iters left: 3 (50 enodes)
52.076 * * [simplify]: iters left: 2 (57 enodes)
52.087 * * [simplify]: Extracting #0: cost 1 inf + 0
52.087 * * [simplify]: Extracting #1: cost 9 inf + 0
52.087 * * [simplify]: Extracting #2: cost 15 inf + 3
52.087 * * [simplify]: Extracting #3: cost 11 inf + 131
52.087 * * [simplify]: Extracting #4: cost 2 inf + 711
52.087 * * [simplify]: Extracting #5: cost 0 inf + 836
52.088 * [simplify]: Simplified to (- 1/4 (/ k 4))
52.088 * [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))))
52.088 * * * * [progress]: [ 46 / 228 ] 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))))>
52.088 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
52.088 * * [simplify]: iters left: 6 (9 enodes)
52.091 * * [simplify]: iters left: 5 (36 enodes)
52.098 * * [simplify]: iters left: 4 (58 enodes)
52.107 * * [simplify]: iters left: 3 (71 enodes)
52.132 * * [simplify]: iters left: 2 (79 enodes)
52.153 * * [simplify]: iters left: 1 (80 enodes)
52.168 * * [simplify]: Extracting #0: cost 1 inf + 0
52.168 * * [simplify]: Extracting #1: cost 9 inf + 0
52.168 * * [simplify]: Extracting #2: cost 24 inf + 0
52.168 * * [simplify]: Extracting #3: cost 29 inf + 2
52.169 * * [simplify]: Extracting #4: cost 10 inf + 2233
52.169 * * [simplify]: Extracting #5: cost 1 inf + 4013
52.170 * * [simplify]: Extracting #6: cost 0 inf + 4135
52.171 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
52.171 * [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))))
52.171 * * * * [progress]: [ 47 / 228 ] 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))))>
52.171 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
52.171 * * [simplify]: iters left: 6 (10 enodes)
52.175 * * [simplify]: iters left: 5 (39 enodes)
52.183 * * [simplify]: iters left: 4 (64 enodes)
52.201 * * [simplify]: iters left: 3 (86 enodes)
52.226 * * [simplify]: iters left: 2 (99 enodes)
52.253 * * [simplify]: iters left: 1 (104 enodes)
52.285 * * [simplify]: Extracting #0: cost 1 inf + 0
52.285 * * [simplify]: Extracting #1: cost 11 inf + 0
52.285 * * [simplify]: Extracting #2: cost 31 inf + 0
52.285 * * [simplify]: Extracting #3: cost 39 inf + 2
52.285 * * [simplify]: Extracting #4: cost 22 inf + 1871
52.287 * * [simplify]: Extracting #5: cost 4 inf + 4865
52.289 * * [simplify]: Extracting #6: cost 0 inf + 5675
52.291 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
52.291 * [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))))
52.291 * * * * [progress]: [ 48 / 228 ] 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))))>
52.292 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
52.292 * * [simplify]: iters left: 6 (9 enodes)
52.298 * * [simplify]: iters left: 5 (36 enodes)
52.310 * * [simplify]: iters left: 4 (61 enodes)
52.331 * * [simplify]: iters left: 3 (84 enodes)
52.357 * * [simplify]: iters left: 2 (96 enodes)
52.383 * * [simplify]: iters left: 1 (100 enodes)
52.405 * * [simplify]: Extracting #0: cost 1 inf + 0
52.405 * * [simplify]: Extracting #1: cost 11 inf + 0
52.405 * * [simplify]: Extracting #2: cost 27 inf + 82
52.405 * * [simplify]: Extracting #3: cost 29 inf + 651
52.406 * * [simplify]: Extracting #4: cost 12 inf + 2763
52.406 * * [simplify]: Extracting #5: cost 1 inf + 4587
52.407 * * [simplify]: Extracting #6: cost 0 inf + 4710
52.408 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
52.408 * [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))))
52.408 * * * * [progress]: [ 49 / 228 ] 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))))>
52.408 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
52.408 * * [simplify]: iters left: 6 (10 enodes)
52.415 * * [simplify]: iters left: 5 (39 enodes)
52.422 * * [simplify]: iters left: 4 (64 enodes)
52.433 * * [simplify]: iters left: 3 (86 enodes)
52.452 * * [simplify]: iters left: 2 (99 enodes)
52.470 * * [simplify]: iters left: 1 (104 enodes)
52.485 * * [simplify]: Extracting #0: cost 1 inf + 0
52.485 * * [simplify]: Extracting #1: cost 11 inf + 0
52.485 * * [simplify]: Extracting #2: cost 31 inf + 0
52.485 * * [simplify]: Extracting #3: cost 39 inf + 2
52.485 * * [simplify]: Extracting #4: cost 22 inf + 1831
52.486 * * [simplify]: Extracting #5: cost 4 inf + 4785
52.487 * * [simplify]: Extracting #6: cost 0 inf + 5595
52.489 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
52.489 * [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))))
52.489 * * * * [progress]: [ 50 / 228 ] 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))))>
52.490 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
52.490 * * [simplify]: iters left: 6 (9 enodes)
52.496 * * [simplify]: iters left: 5 (36 enodes)
52.508 * * [simplify]: iters left: 4 (57 enodes)
52.527 * * [simplify]: iters left: 3 (73 enodes)
52.538 * * [simplify]: iters left: 2 (80 enodes)
52.549 * * [simplify]: iters left: 1 (81 enodes)
52.569 * * [simplify]: Extracting #0: cost 1 inf + 0
52.569 * * [simplify]: Extracting #1: cost 9 inf + 0
52.569 * * [simplify]: Extracting #2: cost 18 inf + 43
52.570 * * [simplify]: Extracting #3: cost 23 inf + 85
52.570 * * [simplify]: Extracting #4: cost 9 inf + 1271
52.571 * * [simplify]: Extracting #5: cost 0 inf + 2370
52.572 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
52.572 * [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))))
52.572 * * * * [progress]: [ 51 / 228 ] 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))))>
52.572 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
52.572 * * [simplify]: iters left: 6 (9 enodes)
52.576 * * [simplify]: iters left: 5 (36 enodes)
52.582 * * [simplify]: iters left: 4 (61 enodes)
52.593 * * [simplify]: iters left: 3 (84 enodes)
52.606 * * [simplify]: iters left: 2 (96 enodes)
52.619 * * [simplify]: iters left: 1 (100 enodes)
52.637 * * [simplify]: Extracting #0: cost 1 inf + 0
52.637 * * [simplify]: Extracting #1: cost 11 inf + 0
52.637 * * [simplify]: Extracting #2: cost 27 inf + 42
52.638 * * [simplify]: Extracting #3: cost 29 inf + 411
52.638 * * [simplify]: Extracting #4: cost 12 inf + 2163
52.639 * * [simplify]: Extracting #5: cost 1 inf + 3707
52.639 * * [simplify]: Extracting #6: cost 0 inf + 3830
52.640 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
52.640 * [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))))
52.640 * * * * [progress]: [ 52 / 228 ] 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))))>
52.641 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
52.641 * * [simplify]: iters left: 6 (9 enodes)
52.644 * * [simplify]: iters left: 5 (36 enodes)
52.654 * * [simplify]: iters left: 4 (62 enodes)
52.669 * * [simplify]: iters left: 3 (78 enodes)
52.681 * * [simplify]: iters left: 2 (90 enodes)
52.694 * * [simplify]: iters left: 1 (94 enodes)
52.710 * * [simplify]: Extracting #0: cost 1 inf + 0
52.711 * * [simplify]: Extracting #1: cost 11 inf + 0
52.711 * * [simplify]: Extracting #2: cost 27 inf + 1
52.711 * * [simplify]: Extracting #3: cost 29 inf + 409
52.712 * * [simplify]: Extracting #4: cost 12 inf + 2359
52.713 * * [simplify]: Extracting #5: cost 2 inf + 4022
52.714 * * [simplify]: Extracting #6: cost 0 inf + 4466
52.716 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
52.716 * [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))))
52.716 * * * * [progress]: [ 53 / 228 ] 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))))>
52.716 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
52.716 * * [simplify]: iters left: 6 (9 enodes)
52.722 * * [simplify]: iters left: 5 (36 enodes)
52.737 * * [simplify]: iters left: 4 (62 enodes)
52.747 * * [simplify]: iters left: 3 (78 enodes)
52.759 * * [simplify]: iters left: 2 (90 enodes)
52.780 * * [simplify]: iters left: 1 (94 enodes)
52.804 * * [simplify]: Extracting #0: cost 1 inf + 0
52.804 * * [simplify]: Extracting #1: cost 11 inf + 0
52.804 * * [simplify]: Extracting #2: cost 27 inf + 1
52.805 * * [simplify]: Extracting #3: cost 29 inf + 249
52.805 * * [simplify]: Extracting #4: cost 12 inf + 1879
52.806 * * [simplify]: Extracting #5: cost 2 inf + 3302
52.808 * * [simplify]: Extracting #6: cost 0 inf + 3666
52.809 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
52.809 * [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)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (sqrt k))))
52.810 * * * * [progress]: [ 54 / 228 ] 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))))>
52.810 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
52.810 * * [simplify]: iters left: 6 (8 enodes)
52.815 * * [simplify]: iters left: 5 (34 enodes)
52.829 * * [simplify]: iters left: 4 (58 enodes)
52.845 * * [simplify]: iters left: 3 (65 enodes)
52.857 * * [simplify]: Extracting #0: cost 1 inf + 0
52.857 * * [simplify]: Extracting #1: cost 8 inf + 0
52.858 * * [simplify]: Extracting #2: cost 14 inf + 3
52.858 * * [simplify]: Extracting #3: cost 17 inf + 5
52.858 * * [simplify]: Extracting #4: cost 12 inf + 292
52.858 * * [simplify]: Extracting #5: cost 1 inf + 1355
52.858 * * [simplify]: Extracting #6: cost 0 inf + 1478
52.858 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
52.859 * [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))))
52.859 * * * * [progress]: [ 55 / 228 ] 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))))>
52.859 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
52.859 * * [simplify]: iters left: 6 (8 enodes)
52.862 * * [simplify]: iters left: 5 (33 enodes)
52.869 * * [simplify]: iters left: 4 (52 enodes)
52.878 * * [simplify]: iters left: 3 (62 enodes)
52.891 * * [simplify]: iters left: 2 (67 enodes)
52.908 * * [simplify]: Extracting #0: cost 1 inf + 0
52.908 * * [simplify]: Extracting #1: cost 9 inf + 0
52.908 * * [simplify]: Extracting #2: cost 23 inf + 0
52.909 * * [simplify]: Extracting #3: cost 24 inf + 285
52.909 * * [simplify]: Extracting #4: cost 18 inf + 975
52.909 * * [simplify]: Extracting #5: cost 7 inf + 2516
52.910 * * [simplify]: Extracting #6: cost 0 inf + 3891
52.911 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
52.911 * [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)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (sqrt k))))
52.912 * * * * [progress]: [ 56 / 228 ] 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))))>
52.912 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
52.912 * * [simplify]: iters left: 6 (9 enodes)
52.918 * * [simplify]: iters left: 5 (36 enodes)
52.930 * * [simplify]: iters left: 4 (58 enodes)
52.941 * * [simplify]: iters left: 3 (75 enodes)
52.953 * * [simplify]: iters left: 2 (87 enodes)
52.978 * * [simplify]: iters left: 1 (91 enodes)
52.993 * * [simplify]: Extracting #0: cost 1 inf + 0
52.993 * * [simplify]: Extracting #1: cost 11 inf + 0
52.993 * * [simplify]: Extracting #2: cost 30 inf + 0
52.993 * * [simplify]: Extracting #3: cost 36 inf + 83
52.993 * * [simplify]: Extracting #4: cost 30 inf + 451
52.993 * * [simplify]: Extracting #5: cost 10 inf + 3649
52.994 * * [simplify]: Extracting #6: cost 0 inf + 5431
52.995 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
52.995 * [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))))
52.995 * * * * [progress]: [ 57 / 228 ] 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))))>
52.996 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
52.996 * * [simplify]: iters left: 6 (8 enodes)
53.001 * * [simplify]: iters left: 5 (33 enodes)
53.013 * * [simplify]: iters left: 4 (55 enodes)
53.031 * * [simplify]: iters left: 3 (73 enodes)
53.053 * * [simplify]: iters left: 2 (84 enodes)
53.077 * * [simplify]: iters left: 1 (87 enodes)
53.100 * * [simplify]: Extracting #0: cost 1 inf + 0
53.100 * * [simplify]: Extracting #1: cost 11 inf + 0
53.100 * * [simplify]: Extracting #2: cost 25 inf + 203
53.101 * * [simplify]: Extracting #3: cost 29 inf + 407
53.101 * * [simplify]: Extracting #4: cost 24 inf + 896
53.102 * * [simplify]: Extracting #5: cost 9 inf + 2805
53.103 * * [simplify]: Extracting #6: cost 0 inf + 4466
53.104 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
53.105 * [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))))
53.105 * * * * [progress]: [ 58 / 228 ] 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))))>
53.105 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
53.105 * * [simplify]: iters left: 6 (9 enodes)
53.117 * * [simplify]: iters left: 5 (36 enodes)
53.130 * * [simplify]: iters left: 4 (58 enodes)
53.149 * * [simplify]: iters left: 3 (75 enodes)
53.166 * * [simplify]: iters left: 2 (87 enodes)
53.179 * * [simplify]: iters left: 1 (91 enodes)
53.196 * * [simplify]: Extracting #0: cost 1 inf + 0
53.196 * * [simplify]: Extracting #1: cost 11 inf + 0
53.197 * * [simplify]: Extracting #2: cost 30 inf + 0
53.197 * * [simplify]: Extracting #3: cost 36 inf + 43
53.197 * * [simplify]: Extracting #4: cost 30 inf + 451
53.198 * * [simplify]: Extracting #5: cost 10 inf + 3769
53.200 * * [simplify]: Extracting #6: cost 0 inf + 5431
53.201 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
53.201 * [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))))
53.202 * * * * [progress]: [ 59 / 228 ] 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))))>
53.202 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
53.202 * * [simplify]: iters left: 6 (8 enodes)
53.207 * * [simplify]: iters left: 5 (33 enodes)
53.219 * * [simplify]: iters left: 4 (51 enodes)
53.236 * * [simplify]: iters left: 3 (59 enodes)
53.252 * * [simplify]: Extracting #0: cost 1 inf + 0
53.252 * * [simplify]: Extracting #1: cost 8 inf + 0
53.252 * * [simplify]: Extracting #2: cost 15 inf + 43
53.252 * * [simplify]: Extracting #3: cost 19 inf + 85
53.252 * * [simplify]: Extracting #4: cost 16 inf + 250
53.252 * * [simplify]: Extracting #5: cost 5 inf + 1311
53.253 * * [simplify]: Extracting #6: cost 0 inf + 1962
53.253 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
53.253 * [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))))
53.253 * * * * [progress]: [ 60 / 228 ] 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))))>
53.253 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
53.253 * * [simplify]: iters left: 6 (8 enodes)
53.256 * * [simplify]: iters left: 5 (33 enodes)
53.263 * * [simplify]: iters left: 4 (55 enodes)
53.273 * * [simplify]: iters left: 3 (73 enodes)
53.290 * * [simplify]: iters left: 2 (84 enodes)
53.314 * * [simplify]: iters left: 1 (87 enodes)
53.338 * * [simplify]: Extracting #0: cost 1 inf + 0
53.338 * * [simplify]: Extracting #1: cost 11 inf + 0
53.338 * * [simplify]: Extracting #2: cost 25 inf + 123
53.338 * * [simplify]: Extracting #3: cost 29 inf + 247
53.339 * * [simplify]: Extracting #4: cost 24 inf + 576
53.339 * * [simplify]: Extracting #5: cost 9 inf + 2245
53.341 * * [simplify]: Extracting #6: cost 0 inf + 3666
53.342 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
53.342 * [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))))
53.342 * * * * [progress]: [ 61 / 228 ] 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))))>
53.343 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
53.343 * * [simplify]: iters left: 6 (8 enodes)
53.349 * * [simplify]: iters left: 5 (34 enodes)
53.361 * * [simplify]: iters left: 4 (54 enodes)
53.379 * * [simplify]: iters left: 3 (67 enodes)
53.405 * * [simplify]: iters left: 2 (80 enodes)
53.429 * * [simplify]: iters left: 1 (87 enodes)
53.455 * * [simplify]: Extracting #0: cost 1 inf + 0
53.455 * * [simplify]: Extracting #1: cost 11 inf + 0
53.456 * * [simplify]: Extracting #2: cost 25 inf + 203
53.456 * * [simplify]: Extracting #3: cost 26 inf + 773
53.456 * * [simplify]: Extracting #4: cost 24 inf + 896
53.457 * * [simplify]: Extracting #5: cost 8 inf + 3127
53.458 * * [simplify]: Extracting #6: cost 0 inf + 4466
53.460 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
53.460 * [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))))
53.460 * * * * [progress]: [ 62 / 228 ] 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))))>
53.461 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
53.461 * * [simplify]: iters left: 6 (8 enodes)
53.466 * * [simplify]: iters left: 5 (34 enodes)
53.479 * * [simplify]: iters left: 4 (54 enodes)
53.496 * * [simplify]: iters left: 3 (67 enodes)
53.511 * * [simplify]: iters left: 2 (80 enodes)
53.523 * * [simplify]: iters left: 1 (87 enodes)
53.541 * * [simplify]: Extracting #0: cost 1 inf + 0
53.541 * * [simplify]: Extracting #1: cost 11 inf + 0
53.541 * * [simplify]: Extracting #2: cost 25 inf + 123
53.541 * * [simplify]: Extracting #3: cost 26 inf + 493
53.542 * * [simplify]: Extracting #4: cost 24 inf + 576
53.542 * * [simplify]: Extracting #5: cost 8 inf + 2527
53.544 * * [simplify]: Extracting #6: cost 0 inf + 3666
53.545 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
53.545 * [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))))
53.546 * * * * [progress]: [ 63 / 228 ] 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))))>
53.546 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
53.546 * * [simplify]: iters left: 6 (7 enodes)
53.551 * * [simplify]: iters left: 5 (32 enodes)
53.563 * * [simplify]: iters left: 4 (50 enodes)
53.579 * * [simplify]: iters left: 3 (54 enodes)
53.595 * * [simplify]: Extracting #0: cost 1 inf + 0
53.595 * * [simplify]: Extracting #1: cost 8 inf + 0
53.595 * * [simplify]: Extracting #2: cost 13 inf + 3
53.595 * * [simplify]: Extracting #3: cost 15 inf + 5
53.595 * * [simplify]: Extracting #4: cost 14 inf + 6
53.596 * * [simplify]: Extracting #5: cost 4 inf + 825
53.596 * * [simplify]: Extracting #6: cost 0 inf + 1234
53.597 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
53.597 * [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))))
53.597 * * * * [progress]: [ 64 / 228 ] 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))))>
53.597 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
53.597 * * [simplify]: iters left: 6 (7 enodes)
53.602 * * [simplify]: iters left: 5 (30 enodes)
53.613 * * [simplify]: iters left: 4 (49 enodes)
53.629 * * [simplify]: iters left: 3 (59 enodes)
53.646 * * [simplify]: iters left: 2 (64 enodes)
53.664 * * [simplify]: Extracting #0: cost 1 inf + 0
53.664 * * [simplify]: Extracting #1: cost 9 inf + 0
53.664 * * [simplify]: Extracting #2: cost 23 inf + 0
53.664 * * [simplify]: Extracting #3: cost 24 inf + 3
53.665 * * [simplify]: Extracting #4: cost 15 inf + 980
53.665 * * [simplify]: Extracting #5: cost 1 inf + 3007
53.666 * * [simplify]: Extracting #6: cost 0 inf + 3169
53.667 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
53.667 * [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))))
53.668 * * * * [progress]: [ 65 / 228 ] 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))))>
53.668 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
53.668 * * [simplify]: iters left: 6 (8 enodes)
53.674 * * [simplify]: iters left: 5 (33 enodes)
53.684 * * [simplify]: iters left: 4 (55 enodes)
53.694 * * [simplify]: iters left: 3 (72 enodes)
53.707 * * [simplify]: iters left: 2 (84 enodes)
53.732 * * [simplify]: iters left: 1 (88 enodes)
53.757 * * [simplify]: Extracting #0: cost 1 inf + 0
53.757 * * [simplify]: Extracting #1: cost 11 inf + 0
53.757 * * [simplify]: Extracting #2: cost 30 inf + 0
53.757 * * [simplify]: Extracting #3: cost 33 inf + 84
53.758 * * [simplify]: Extracting #4: cost 12 inf + 2402
53.759 * * [simplify]: Extracting #5: cost 0 inf + 4469
53.760 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
53.760 * [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))))
53.760 * * * * [progress]: [ 66 / 228 ] 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))))>
53.760 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
53.761 * * [simplify]: iters left: 6 (7 enodes)
53.763 * * [simplify]: iters left: 5 (30 enodes)
53.770 * * [simplify]: iters left: 4 (52 enodes)
53.780 * * [simplify]: iters left: 3 (70 enodes)
53.792 * * [simplify]: iters left: 2 (81 enodes)
53.816 * * [simplify]: iters left: 1 (84 enodes)
53.832 * * [simplify]: Extracting #0: cost 1 inf + 0
53.832 * * [simplify]: Extracting #1: cost 11 inf + 0
53.832 * * [simplify]: Extracting #2: cost 25 inf + 203
53.833 * * [simplify]: Extracting #3: cost 25 inf + 530
53.833 * * [simplify]: Extracting #4: cost 4 inf + 2936
53.834 * * [simplify]: Extracting #5: cost 0 inf + 3504
53.834 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
53.834 * [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))))
53.834 * * * * [progress]: [ 67 / 228 ] 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))))>
53.835 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
53.835 * * [simplify]: iters left: 6 (8 enodes)
53.838 * * [simplify]: iters left: 5 (33 enodes)
53.844 * * [simplify]: iters left: 4 (55 enodes)
53.856 * * [simplify]: iters left: 3 (72 enodes)
53.878 * * [simplify]: iters left: 2 (84 enodes)
53.903 * * [simplify]: iters left: 1 (88 enodes)
53.928 * * [simplify]: Extracting #0: cost 1 inf + 0
53.928 * * [simplify]: Extracting #1: cost 11 inf + 0
53.928 * * [simplify]: Extracting #2: cost 30 inf + 0
53.928 * * [simplify]: Extracting #3: cost 33 inf + 44
53.929 * * [simplify]: Extracting #4: cost 12 inf + 2362
53.934 * * [simplify]: Extracting #5: cost 0 inf + 4469
53.936 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
53.936 * [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))))
53.936 * * * * [progress]: [ 68 / 228 ] 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))))>
53.936 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
53.936 * * [simplify]: iters left: 6 (7 enodes)
53.941 * * [simplify]: iters left: 5 (30 enodes)
53.948 * * [simplify]: iters left: 4 (48 enodes)
53.957 * * [simplify]: iters left: 3 (56 enodes)
53.966 * * [simplify]: Extracting #0: cost 1 inf + 0
53.966 * * [simplify]: Extracting #1: cost 8 inf + 0
53.966 * * [simplify]: Extracting #2: cost 15 inf + 43
53.966 * * [simplify]: Extracting #3: cost 16 inf + 86
53.966 * * [simplify]: Extracting #4: cost 5 inf + 911
53.967 * * [simplify]: Extracting #5: cost 1 inf + 1198
53.967 * * [simplify]: Extracting #6: cost 0 inf + 1320
53.967 * [simplify]: Simplified to (/ (- 1 k) 2)
53.967 * [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))))
53.967 * * * * [progress]: [ 69 / 228 ] 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))))>
53.968 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
53.968 * * [simplify]: iters left: 6 (7 enodes)
53.970 * * [simplify]: iters left: 5 (30 enodes)
53.976 * * [simplify]: iters left: 4 (52 enodes)
53.987 * * [simplify]: iters left: 3 (70 enodes)
54.008 * * [simplify]: iters left: 2 (81 enodes)
54.031 * * [simplify]: iters left: 1 (84 enodes)
54.047 * * [simplify]: Extracting #0: cost 1 inf + 0
54.047 * * [simplify]: Extracting #1: cost 11 inf + 0
54.047 * * [simplify]: Extracting #2: cost 25 inf + 123
54.047 * * [simplify]: Extracting #3: cost 25 inf + 330
54.048 * * [simplify]: Extracting #4: cost 4 inf + 2256
54.051 * * [simplify]: Extracting #5: cost 0 inf + 2704
54.052 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
54.052 * [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))))
54.052 * * * * [progress]: [ 70 / 228 ] 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))))>
54.052 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
54.052 * * [simplify]: iters left: 6 (7 enodes)
54.055 * * [simplify]: iters left: 5 (31 enodes)
54.062 * * [simplify]: iters left: 4 (51 enodes)
54.071 * * [simplify]: iters left: 3 (64 enodes)
54.083 * * [simplify]: iters left: 2 (77 enodes)
54.105 * * [simplify]: iters left: 1 (84 enodes)
54.118 * * [simplify]: Extracting #0: cost 1 inf + 0
54.118 * * [simplify]: Extracting #1: cost 11 inf + 0
54.118 * * [simplify]: Extracting #2: cost 26 inf + 82
54.119 * * [simplify]: Extracting #3: cost 24 inf + 692
54.119 * * [simplify]: Extracting #4: cost 3 inf + 3057
54.120 * * [simplify]: Extracting #5: cost 0 inf + 3504
54.120 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
54.120 * [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))))
54.120 * * * * [progress]: [ 71 / 228 ] 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))))>
54.121 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
54.121 * * [simplify]: iters left: 6 (7 enodes)
54.124 * * [simplify]: iters left: 5 (31 enodes)
54.130 * * [simplify]: iters left: 4 (51 enodes)
54.141 * * [simplify]: iters left: 3 (64 enodes)
54.160 * * [simplify]: iters left: 2 (77 enodes)
54.172 * * [simplify]: iters left: 1 (84 enodes)
54.184 * * [simplify]: Extracting #0: cost 1 inf + 0
54.184 * * [simplify]: Extracting #1: cost 11 inf + 0
54.184 * * [simplify]: Extracting #2: cost 26 inf + 42
54.184 * * [simplify]: Extracting #3: cost 24 inf + 452
54.185 * * [simplify]: Extracting #4: cost 3 inf + 2337
54.185 * * [simplify]: Extracting #5: cost 0 inf + 2704
54.186 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
54.186 * [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))))
54.186 * * * * [progress]: [ 72 / 228 ] 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))))>
54.186 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
54.186 * * [simplify]: iters left: 6 (6 enodes)
54.189 * * [simplify]: iters left: 5 (29 enodes)
54.195 * * [simplify]: iters left: 4 (44 enodes)
54.203 * * [simplify]: iters left: 3 (50 enodes)
54.211 * * [simplify]: iters left: 2 (57 enodes)
54.226 * * [simplify]: Extracting #0: cost 1 inf + 0
54.226 * * [simplify]: Extracting #1: cost 9 inf + 0
54.226 * * [simplify]: Extracting #2: cost 15 inf + 3
54.226 * * [simplify]: Extracting #3: cost 11 inf + 131
54.227 * * [simplify]: Extracting #4: cost 2 inf + 711
54.227 * * [simplify]: Extracting #5: cost 0 inf + 836
54.227 * [simplify]: Simplified to (- 1/4 (/ k 4))
54.227 * [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))))
54.228 * * * * [progress]: [ 73 / 228 ] 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))))>
54.228 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
54.228 * * [simplify]: iters left: 6 (7 enodes)
54.231 * * [simplify]: iters left: 5 (31 enodes)
54.237 * * [simplify]: iters left: 4 (51 enodes)
54.246 * * [simplify]: iters left: 3 (64 enodes)
54.262 * * [simplify]: iters left: 2 (77 enodes)
54.281 * * [simplify]: iters left: 1 (84 enodes)
54.297 * * [simplify]: Extracting #0: cost 1 inf + 0
54.297 * * [simplify]: Extracting #1: cost 11 inf + 0
54.297 * * [simplify]: Extracting #2: cost 26 inf + 82
54.297 * * [simplify]: Extracting #3: cost 24 inf + 692
54.297 * * [simplify]: Extracting #4: cost 3 inf + 3057
54.298 * * [simplify]: Extracting #5: cost 0 inf + 3504
54.299 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
54.299 * [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))))
54.299 * * * * [progress]: [ 74 / 228 ] 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))))>
54.299 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
54.299 * * [simplify]: iters left: 6 (7 enodes)
54.302 * * [simplify]: iters left: 5 (31 enodes)
54.309 * * [simplify]: iters left: 4 (51 enodes)
54.318 * * [simplify]: iters left: 3 (64 enodes)
54.329 * * [simplify]: iters left: 2 (77 enodes)
54.351 * * [simplify]: iters left: 1 (84 enodes)
54.379 * * [simplify]: Extracting #0: cost 1 inf + 0
54.380 * * [simplify]: Extracting #1: cost 11 inf + 0
54.380 * * [simplify]: Extracting #2: cost 26 inf + 42
54.380 * * [simplify]: Extracting #3: cost 24 inf + 452
54.380 * * [simplify]: Extracting #4: cost 3 inf + 2337
54.381 * * [simplify]: Extracting #5: cost 0 inf + 2704
54.382 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
54.382 * [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))))
54.382 * * * * [progress]: [ 75 / 228 ] 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))))>
54.382 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
54.382 * * [simplify]: iters left: 6 (6 enodes)
54.385 * * [simplify]: iters left: 5 (29 enodes)
54.392 * * [simplify]: iters left: 4 (44 enodes)
54.400 * * [simplify]: iters left: 3 (50 enodes)
54.412 * * [simplify]: iters left: 2 (57 enodes)
54.429 * * [simplify]: Extracting #0: cost 1 inf + 0
54.429 * * [simplify]: Extracting #1: cost 9 inf + 0
54.429 * * [simplify]: Extracting #2: cost 15 inf + 3
54.429 * * [simplify]: Extracting #3: cost 11 inf + 131
54.430 * * [simplify]: Extracting #4: cost 2 inf + 711
54.430 * * [simplify]: Extracting #5: cost 0 inf + 836
54.430 * [simplify]: Simplified to (- 1/4 (/ k 4))
54.431 * [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))))
54.431 * * * * [progress]: [ 76 / 228 ] 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))))>
54.431 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
54.431 * * [simplify]: iters left: 4 (5 enodes)
54.436 * * [simplify]: iters left: 3 (20 enodes)
54.443 * * [simplify]: iters left: 2 (27 enodes)
54.453 * * [simplify]: iters left: 1 (29 enodes)
54.463 * * [simplify]: Extracting #0: cost 1 inf + 0
54.463 * * [simplify]: Extracting #1: cost 8 inf + 0
54.463 * * [simplify]: Extracting #2: cost 4 inf + 449
54.463 * * [simplify]: Extracting #3: cost 0 inf + 895
54.464 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
54.464 * [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))))
54.464 * * * * [progress]: [ 77 / 228 ] 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))))>
54.464 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
54.464 * * [simplify]: iters left: 4 (5 enodes)
54.469 * * [simplify]: iters left: 3 (20 enodes)
54.476 * * [simplify]: iters left: 2 (27 enodes)
54.484 * * [simplify]: iters left: 1 (29 enodes)
54.493 * * [simplify]: Extracting #0: cost 1 inf + 0
54.493 * * [simplify]: Extracting #1: cost 8 inf + 0
54.494 * * [simplify]: Extracting #2: cost 4 inf + 289
54.494 * * [simplify]: Extracting #3: cost 0 inf + 575
54.494 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
54.494 * [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))))
54.495 * * * * [progress]: [ 78 / 228 ] 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))))>
54.495 * [simplify]: Simplifying (/ (/ 1 2) 2)
54.495 * * [simplify]: iters left: 4 (4 enodes)
54.500 * * [simplify]: iters left: 3 (19 enodes)
54.507 * * [simplify]: iters left: 2 (23 enodes)
54.514 * * [simplify]: Extracting #0: cost 1 inf + 0
54.514 * * [simplify]: Extracting #1: cost 0 inf + 1
54.514 * [simplify]: Simplified to 1/4
54.514 * [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))))
54.514 * * * * [progress]: [ 79 / 228 ] 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))))>
54.514 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
54.515 * * [simplify]: iters left: 6 (6 enodes)
54.519 * * [simplify]: iters left: 5 (29 enodes)
54.533 * * [simplify]: iters left: 4 (44 enodes)
54.540 * * [simplify]: iters left: 3 (50 enodes)
54.549 * * [simplify]: iters left: 2 (57 enodes)
54.558 * * [simplify]: Extracting #0: cost 1 inf + 0
54.558 * * [simplify]: Extracting #1: cost 9 inf + 0
54.558 * * [simplify]: Extracting #2: cost 15 inf + 3
54.558 * * [simplify]: Extracting #3: cost 11 inf + 131
54.558 * * [simplify]: Extracting #4: cost 2 inf + 711
54.558 * * [simplify]: Extracting #5: cost 0 inf + 836
54.559 * [simplify]: Simplified to (- 1/4 (/ k 4))
54.559 * [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) (- 1/4 (/ k 4))) (sqrt k))))
54.559 * * * * [progress]: [ 80 / 228 ] 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))))>
54.559 * [simplify]: Simplifying (/ 1 2)
54.559 * * [simplify]: iters left: 2 (3 enodes)
54.561 * * [simplify]: iters left: 1 (12 enodes)
54.563 * * [simplify]: Extracting #0: cost 1 inf + 0
54.563 * * [simplify]: Extracting #1: cost 0 inf + 1
54.563 * [simplify]: Simplified to 1/2
54.563 * [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))))
54.564 * * * * [progress]: [ 81 / 228 ] 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))))>
54.564 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
54.564 * * [simplify]: iters left: 6 (8 enodes)
54.569 * * [simplify]: iters left: 5 (38 enodes)
54.583 * * [simplify]: iters left: 4 (66 enodes)
54.606 * * [simplify]: iters left: 3 (110 enodes)
54.645 * * [simplify]: iters left: 2 (200 enodes)
54.728 * * [simplify]: iters left: 1 (403 enodes)
54.904 * * [simplify]: Extracting #0: cost 1 inf + 0
54.904 * * [simplify]: Extracting #1: cost 26 inf + 0
54.904 * * [simplify]: Extracting #2: cost 100 inf + 2
54.905 * * [simplify]: Extracting #3: cost 164 inf + 10
54.906 * * [simplify]: Extracting #4: cost 163 inf + 641
54.908 * * [simplify]: Extracting #5: cost 72 inf + 12998
54.914 * * [simplify]: Extracting #6: cost 25 inf + 35040
54.922 * * [simplify]: Extracting #7: cost 0 inf + 54806
54.933 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
54.933 * [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))))
54.933 * * * * [progress]: [ 82 / 228 ] 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))))>
54.933 * * * * [progress]: [ 83 / 228 ] 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))))>
54.933 * * * * [progress]: [ 84 / 228 ] 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))))>
54.934 * * * * [progress]: [ 85 / 228 ] 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))))>
54.934 * * * * [progress]: [ 86 / 228 ] 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))))>
54.934 * * * * [progress]: [ 87 / 228 ] 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))))>
54.934 * * * * [progress]: [ 88 / 228 ] 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))))>
54.934 * * * * [progress]: [ 89 / 228 ] 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))))>
54.934 * * * * [progress]: [ 90 / 228 ] 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))))>
54.934 * * * * [progress]: [ 91 / 228 ] simplifiying candidate #<alt (λ (k n) (* (/ (log1p (expm1 (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))))>
54.934 * * * * [progress]: [ 92 / 228 ] simplifiying candidate #<alt (λ (k n) (* (/ (expm1 (log1p (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))))>
54.934 * * * * [progress]: [ 93 / 228 ] 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))))>
54.934 * [simplify]: Simplifying (* (+ (+ (log (cbrt (* n (* 2 PI)))) (log (cbrt (* n (* 2 PI))))) (log (cbrt (* n (* 2 PI))))) (/ (/ (- 1 k) 2) 2))
54.935 * * [simplify]: iters left: 6 (15 enodes)
54.944 * * [simplify]: iters left: 5 (64 enodes)
54.966 * * [simplify]: iters left: 4 (106 enodes)
54.990 * * [simplify]: iters left: 3 (175 enodes)
55.036 * * [simplify]: iters left: 2 (294 enodes)
55.146 * * [simplify]: Extracting #0: cost 1 inf + 0
55.146 * * [simplify]: Extracting #1: cost 44 inf + 0
55.146 * * [simplify]: Extracting #2: cost 126 inf + 5
55.148 * * [simplify]: Extracting #3: cost 134 inf + 1861
55.150 * * [simplify]: Extracting #4: cost 119 inf + 3912
55.154 * * [simplify]: Extracting #5: cost 107 inf + 6862
55.168 * * [simplify]: Extracting #6: cost 15 inf + 38385
55.189 * * [simplify]: Extracting #7: cost 0 inf + 44169
55.209 * * [simplify]: Extracting #8: cost 0 inf + 44168
55.235 * [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)
55.235 * [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))))
55.235 * * * * [progress]: [ 94 / 228 ] 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))))>
55.236 * [simplify]: Simplifying (* (+ (log (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))) (log (cbrt (* n (* 2 PI))))) (/ (/ (- 1 k) 2) 2))
55.236 * * [simplify]: iters left: 6 (16 enodes)
55.246 * * [simplify]: iters left: 5 (68 enodes)
55.271 * * [simplify]: iters left: 4 (110 enodes)
55.309 * * [simplify]: iters left: 3 (179 enodes)
55.370 * * [simplify]: iters left: 2 (298 enodes)
55.500 * * [simplify]: Extracting #0: cost 1 inf + 0
55.500 * * [simplify]: Extracting #1: cost 44 inf + 0
55.501 * * [simplify]: Extracting #2: cost 127 inf + 5
55.502 * * [simplify]: Extracting #3: cost 133 inf + 2309
55.505 * * [simplify]: Extracting #4: cost 119 inf + 4158
55.512 * * [simplify]: Extracting #5: cost 117 inf + 4327
55.515 * * [simplify]: Extracting #6: cost 106 inf + 6106
55.529 * * [simplify]: Extracting #7: cost 29 inf + 35999
55.541 * * [simplify]: Extracting #8: cost 0 inf + 47590
55.552 * * [simplify]: Extracting #9: cost 0 inf + 47520
55.569 * [simplify]: Simplified to (* (log (cbrt (* (* PI 2) n))) (+ (/ (- 1 k) 4) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))))
55.569 * [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))))
55.569 * * * * [progress]: [ 95 / 228 ] 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))))>
55.569 * [simplify]: Simplifying (* (log (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI))))) (/ (/ (- 1 k) 2) 2))
55.570 * * [simplify]: iters left: 6 (15 enodes)
55.579 * * [simplify]: iters left: 5 (67 enodes)
55.598 * * [simplify]: iters left: 4 (115 enodes)
55.620 * * [simplify]: iters left: 3 (191 enodes)
55.685 * * [simplify]: iters left: 2 (360 enodes)
55.829 * * [simplify]: Extracting #0: cost 1 inf + 0
55.829 * * [simplify]: Extracting #1: cost 72 inf + 0
55.831 * * [simplify]: Extracting #2: cost 257 inf + 7
55.833 * * [simplify]: Extracting #3: cost 304 inf + 2004
55.839 * * [simplify]: Extracting #4: cost 234 inf + 10986
55.852 * * [simplify]: Extracting #5: cost 80 inf + 45023
55.871 * * [simplify]: Extracting #6: cost 12 inf + 66964
55.886 * * [simplify]: Extracting #7: cost 0 inf + 72047
55.907 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) k)) 4)
55.907 * [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))))
55.907 * * * * [progress]: [ 96 / 228 ] 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))))>
55.907 * * * * [progress]: [ 97 / 228 ] 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))))>
55.908 * [simplify]: Simplifying (* n (* 2 PI))
55.908 * * [simplify]: iters left: 4 (5 enodes)
55.913 * * [simplify]: iters left: 3 (19 enodes)
55.916 * * [simplify]: iters left: 2 (27 enodes)
55.921 * * [simplify]: iters left: 1 (32 enodes)
55.925 * * [simplify]: Extracting #0: cost 1 inf + 0
55.925 * * [simplify]: Extracting #1: cost 8 inf + 0
55.926 * * [simplify]: Extracting #2: cost 7 inf + 45
55.926 * * [simplify]: Extracting #3: cost 0 inf + 421
55.926 * [simplify]: Simplified to (* (* PI 2) n)
55.926 * [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))))
55.926 * * * * [progress]: [ 98 / 228 ] 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))))>
55.926 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
55.926 * * [simplify]: iters left: 5 (6 enodes)
55.928 * * [simplify]: iters left: 4 (22 enodes)
55.933 * * [simplify]: iters left: 3 (30 enodes)
55.938 * * [simplify]: iters left: 2 (35 enodes)
55.945 * * [simplify]: Extracting #0: cost 1 inf + 0
55.945 * * [simplify]: Extracting #1: cost 3 inf + 0
55.945 * * [simplify]: Extracting #2: cost 10 inf + 0
55.945 * * [simplify]: Extracting #3: cost 10 inf + 3
55.945 * * [simplify]: Extracting #4: cost 6 inf + 171
55.946 * * [simplify]: Extracting #5: cost 1 inf + 584
55.946 * * [simplify]: Extracting #6: cost 0 inf + 747
55.946 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
55.946 * [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))))
55.946 * * * * [progress]: [ 99 / 228 ] 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))))>
55.947 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
55.947 * * [simplify]: iters left: 5 (6 enodes)
55.950 * * [simplify]: iters left: 4 (22 enodes)
55.956 * * [simplify]: iters left: 3 (30 enodes)
55.966 * * [simplify]: iters left: 2 (35 enodes)
55.975 * * [simplify]: Extracting #0: cost 1 inf + 0
55.975 * * [simplify]: Extracting #1: cost 3 inf + 0
55.975 * * [simplify]: Extracting #2: cost 10 inf + 0
55.975 * * [simplify]: Extracting #3: cost 10 inf + 3
55.976 * * [simplify]: Extracting #4: cost 6 inf + 171
55.976 * * [simplify]: Extracting #5: cost 1 inf + 584
55.976 * * [simplify]: Extracting #6: cost 0 inf + 747
55.977 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
55.977 * [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))))
55.977 * * * * [progress]: [ 100 / 228 ] 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))))>
55.977 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
55.977 * * [simplify]: iters left: 5 (6 enodes)
55.981 * * [simplify]: iters left: 4 (22 enodes)
55.988 * * [simplify]: iters left: 3 (30 enodes)
55.997 * * [simplify]: iters left: 2 (35 enodes)
56.006 * * [simplify]: Extracting #0: cost 1 inf + 0
56.006 * * [simplify]: Extracting #1: cost 3 inf + 0
56.006 * * [simplify]: Extracting #2: cost 10 inf + 0
56.006 * * [simplify]: Extracting #3: cost 10 inf + 3
56.006 * * [simplify]: Extracting #4: cost 6 inf + 171
56.006 * * [simplify]: Extracting #5: cost 1 inf + 584
56.007 * * [simplify]: Extracting #6: cost 0 inf + 747
56.007 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
56.007 * [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))))
56.007 * * * * [progress]: [ 101 / 228 ] 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))))>
56.008 * [simplify]: Simplifying (* n (* 2 PI))
56.008 * * [simplify]: iters left: 4 (5 enodes)
56.011 * * [simplify]: iters left: 3 (19 enodes)
56.017 * * [simplify]: iters left: 2 (27 enodes)
56.023 * * [simplify]: iters left: 1 (32 enodes)
56.028 * * [simplify]: Extracting #0: cost 1 inf + 0
56.028 * * [simplify]: Extracting #1: cost 8 inf + 0
56.028 * * [simplify]: Extracting #2: cost 7 inf + 45
56.028 * * [simplify]: Extracting #3: cost 0 inf + 421
56.028 * [simplify]: Simplified to (* (* PI 2) n)
56.028 * [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))))
56.028 * * * * [progress]: [ 102 / 228 ] 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))))>
56.028 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
56.028 * * [simplify]: iters left: 5 (6 enodes)
56.030 * * [simplify]: iters left: 4 (22 enodes)
56.036 * * [simplify]: iters left: 3 (30 enodes)
56.041 * * [simplify]: iters left: 2 (35 enodes)
56.046 * * [simplify]: Extracting #0: cost 1 inf + 0
56.046 * * [simplify]: Extracting #1: cost 3 inf + 0
56.046 * * [simplify]: Extracting #2: cost 10 inf + 0
56.046 * * [simplify]: Extracting #3: cost 10 inf + 3
56.046 * * [simplify]: Extracting #4: cost 6 inf + 171
56.046 * * [simplify]: Extracting #5: cost 1 inf + 584
56.047 * * [simplify]: Extracting #6: cost 0 inf + 747
56.047 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
56.047 * [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))))
56.047 * * * * [progress]: [ 103 / 228 ] 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))))>
56.047 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
56.047 * * [simplify]: iters left: 6 (7 enodes)
56.050 * * [simplify]: iters left: 5 (35 enodes)
56.065 * * [simplify]: iters left: 4 (120 enodes)
56.118 * * [simplify]: iters left: 3 (434 enodes)
56.520 * * [simplify]: Extracting #0: cost 1 inf + 0
56.520 * * [simplify]: Extracting #1: cost 75 inf + 0
56.522 * * [simplify]: Extracting #2: cost 188 inf + 579
56.532 * * [simplify]: Extracting #3: cost 77 inf + 16228
56.545 * * [simplify]: Extracting #4: cost 1 inf + 27462
56.555 * * [simplify]: Extracting #5: cost 0 inf + 27292
56.571 * [simplify]: Simplified to (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))
56.571 * [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))))
56.571 * * * * [progress]: [ 104 / 228 ] 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))))>
56.571 * [simplify]: Simplifying (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI))))
56.571 * * [simplify]: iters left: 6 (8 enodes)
56.576 * * [simplify]: iters left: 5 (29 enodes)
56.592 * * [simplify]: iters left: 4 (39 enodes)
56.599 * * [simplify]: iters left: 3 (50 enodes)
56.608 * * [simplify]: iters left: 2 (62 enodes)
56.620 * * [simplify]: iters left: 1 (90 enodes)
56.649 * * [simplify]: Extracting #0: cost 1 inf + 0
56.649 * * [simplify]: Extracting #1: cost 14 inf + 0
56.649 * * [simplify]: Extracting #2: cost 23 inf + 46
56.650 * * [simplify]: Extracting #3: cost 17 inf + 504
56.651 * * [simplify]: Extracting #4: cost 7 inf + 3903
56.653 * * [simplify]: Extracting #5: cost 1 inf + 6527
56.654 * * [simplify]: Extracting #6: cost 0 inf + 6901
56.656 * [simplify]: Simplified to (* (* n PI) 2)
56.656 * [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))))
56.656 * * * * [progress]: [ 105 / 228 ] 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))))>
56.657 * [simplify]: Simplifying (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI))))
56.657 * * [simplify]: iters left: 6 (8 enodes)
56.661 * * [simplify]: iters left: 5 (29 enodes)
56.672 * * [simplify]: iters left: 4 (39 enodes)
56.685 * * [simplify]: iters left: 3 (50 enodes)
56.702 * * [simplify]: iters left: 2 (62 enodes)
56.727 * * [simplify]: iters left: 1 (90 enodes)
56.755 * * [simplify]: Extracting #0: cost 1 inf + 0
56.755 * * [simplify]: Extracting #1: cost 14 inf + 0
56.756 * * [simplify]: Extracting #2: cost 23 inf + 46
56.756 * * [simplify]: Extracting #3: cost 17 inf + 504
56.757 * * [simplify]: Extracting #4: cost 7 inf + 3903
56.758 * * [simplify]: Extracting #5: cost 1 inf + 6527
56.760 * * [simplify]: Extracting #6: cost 0 inf + 6901
56.761 * [simplify]: Simplified to (* (* n PI) 2)
56.761 * [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))))
56.762 * * * * [progress]: [ 106 / 228 ] 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))))>
56.762 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
56.762 * * [simplify]: iters left: 5 (6 enodes)
56.766 * * [simplify]: iters left: 4 (22 enodes)
56.772 * * [simplify]: iters left: 3 (30 enodes)
56.777 * * [simplify]: iters left: 2 (35 enodes)
56.782 * * [simplify]: Extracting #0: cost 1 inf + 0
56.782 * * [simplify]: Extracting #1: cost 3 inf + 0
56.782 * * [simplify]: Extracting #2: cost 10 inf + 0
56.782 * * [simplify]: Extracting #3: cost 10 inf + 3
56.782 * * [simplify]: Extracting #4: cost 6 inf + 171
56.783 * * [simplify]: Extracting #5: cost 1 inf + 584
56.783 * * [simplify]: Extracting #6: cost 0 inf + 747
56.783 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
56.783 * [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))))
56.783 * * * * [progress]: [ 107 / 228 ] 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))))>
56.783 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
56.783 * * [simplify]: iters left: 5 (6 enodes)
56.785 * * [simplify]: iters left: 4 (22 enodes)
56.789 * * [simplify]: iters left: 3 (30 enodes)
56.794 * * [simplify]: iters left: 2 (35 enodes)
56.799 * * [simplify]: Extracting #0: cost 1 inf + 0
56.799 * * [simplify]: Extracting #1: cost 3 inf + 0
56.799 * * [simplify]: Extracting #2: cost 10 inf + 0
56.799 * * [simplify]: Extracting #3: cost 10 inf + 3
56.799 * * [simplify]: Extracting #4: cost 6 inf + 171
56.799 * * [simplify]: Extracting #5: cost 1 inf + 584
56.799 * * [simplify]: Extracting #6: cost 0 inf + 747
56.800 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
56.800 * [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))))
56.800 * * * * [progress]: [ 108 / 228 ] 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))))>
56.800 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
56.800 * * [simplify]: iters left: 5 (6 enodes)
56.802 * * [simplify]: iters left: 4 (22 enodes)
56.806 * * [simplify]: iters left: 3 (30 enodes)
56.811 * * [simplify]: iters left: 2 (35 enodes)
56.816 * * [simplify]: Extracting #0: cost 1 inf + 0
56.816 * * [simplify]: Extracting #1: cost 3 inf + 0
56.816 * * [simplify]: Extracting #2: cost 10 inf + 0
56.816 * * [simplify]: Extracting #3: cost 10 inf + 3
56.816 * * [simplify]: Extracting #4: cost 6 inf + 171
56.816 * * [simplify]: Extracting #5: cost 1 inf + 584
56.816 * * [simplify]: Extracting #6: cost 0 inf + 747
56.816 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
56.816 * [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))))
56.817 * * * * [progress]: [ 109 / 228 ] 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))))>
56.817 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
56.817 * * [simplify]: iters left: 5 (6 enodes)
56.819 * * [simplify]: iters left: 4 (22 enodes)
56.823 * * [simplify]: iters left: 3 (30 enodes)
56.831 * * [simplify]: iters left: 2 (35 enodes)
56.841 * * [simplify]: Extracting #0: cost 1 inf + 0
56.841 * * [simplify]: Extracting #1: cost 3 inf + 0
56.841 * * [simplify]: Extracting #2: cost 10 inf + 0
56.841 * * [simplify]: Extracting #3: cost 10 inf + 3
56.841 * * [simplify]: Extracting #4: cost 6 inf + 171
56.841 * * [simplify]: Extracting #5: cost 1 inf + 584
56.842 * * [simplify]: Extracting #6: cost 0 inf + 747
56.842 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
56.843 * [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))))
56.843 * * * * [progress]: [ 110 / 228 ] 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))))>
56.843 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
56.843 * * [simplify]: iters left: 5 (6 enodes)
56.847 * * [simplify]: iters left: 4 (22 enodes)
56.855 * * [simplify]: iters left: 3 (30 enodes)
56.864 * * [simplify]: iters left: 2 (35 enodes)
56.873 * * [simplify]: Extracting #0: cost 1 inf + 0
56.873 * * [simplify]: Extracting #1: cost 3 inf + 0
56.873 * * [simplify]: Extracting #2: cost 10 inf + 0
56.873 * * [simplify]: Extracting #3: cost 10 inf + 3
56.874 * * [simplify]: Extracting #4: cost 6 inf + 171
56.874 * * [simplify]: Extracting #5: cost 1 inf + 584
56.874 * * [simplify]: Extracting #6: cost 0 inf + 747
56.875 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
56.875 * [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))))
56.875 * * * * [progress]: [ 111 / 228 ] 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))))>
56.875 * [simplify]: Simplifying (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI))))
56.875 * * [simplify]: iters left: 6 (8 enodes)
56.880 * * [simplify]: iters left: 5 (29 enodes)
56.889 * * [simplify]: iters left: 4 (39 enodes)
56.902 * * [simplify]: iters left: 3 (50 enodes)
56.918 * * [simplify]: iters left: 2 (62 enodes)
56.941 * * [simplify]: iters left: 1 (90 enodes)
56.964 * * [simplify]: Extracting #0: cost 1 inf + 0
56.964 * * [simplify]: Extracting #1: cost 14 inf + 0
56.965 * * [simplify]: Extracting #2: cost 23 inf + 46
56.965 * * [simplify]: Extracting #3: cost 17 inf + 504
56.965 * * [simplify]: Extracting #4: cost 7 inf + 3903
56.966 * * [simplify]: Extracting #5: cost 1 inf + 6527
56.967 * * [simplify]: Extracting #6: cost 0 inf + 6901
56.967 * [simplify]: Simplified to (* (* n PI) 2)
56.967 * [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))))
56.968 * * * * [progress]: [ 112 / 228 ] 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))))>
56.968 * [simplify]: Simplifying (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ k 2) 2))
56.968 * * [simplify]: iters left: 6 (12 enodes)
56.972 * * [simplify]: iters left: 5 (47 enodes)
56.983 * * [simplify]: iters left: 4 (69 enodes)
56.998 * * [simplify]: iters left: 3 (111 enodes)
57.022 * * [simplify]: iters left: 2 (197 enodes)
57.095 * * [simplify]: iters left: 1 (382 enodes)
57.239 * * [simplify]: Extracting #0: cost 1 inf + 0
57.239 * * [simplify]: Extracting #1: cost 26 inf + 0
57.240 * * [simplify]: Extracting #2: cost 113 inf + 1
57.241 * * [simplify]: Extracting #3: cost 149 inf + 220
57.244 * * [simplify]: Extracting #4: cost 95 inf + 6250
57.257 * * [simplify]: Extracting #5: cost 34 inf + 35100
57.265 * * [simplify]: Extracting #6: cost 1 inf + 61194
57.273 * * [simplify]: Extracting #7: cost 0 inf + 61220
57.281 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
57.281 * [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))))
57.282 * * * * [progress]: [ 113 / 228 ] 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))))>
57.282 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
57.282 * * [simplify]: iters left: 6 (7 enodes)
57.285 * * [simplify]: iters left: 5 (32 enodes)
57.296 * * [simplify]: iters left: 4 (47 enodes)
57.310 * * [simplify]: iters left: 3 (53 enodes)
57.327 * * [simplify]: iters left: 2 (60 enodes)
57.345 * * [simplify]: Extracting #0: cost 1 inf + 0
57.345 * * [simplify]: Extracting #1: cost 3 inf + 0
57.345 * * [simplify]: Extracting #2: cost 11 inf + 0
57.345 * * [simplify]: Extracting #3: cost 17 inf + 3
57.345 * * [simplify]: Extracting #4: cost 14 inf + 129
57.346 * * [simplify]: Extracting #5: cost 3 inf + 794
57.346 * * [simplify]: Extracting #6: cost 0 inf + 1162
57.347 * [simplify]: Simplified to (cbrt (- 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)))) (* (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))))
57.347 * * * * [progress]: [ 114 / 228 ] 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))))>
57.347 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
57.347 * * [simplify]: iters left: 6 (7 enodes)
57.353 * * [simplify]: iters left: 5 (32 enodes)
57.360 * * [simplify]: iters left: 4 (47 enodes)
57.368 * * [simplify]: iters left: 3 (53 enodes)
57.380 * * [simplify]: iters left: 2 (60 enodes)
57.389 * * [simplify]: Extracting #0: cost 1 inf + 0
57.389 * * [simplify]: Extracting #1: cost 3 inf + 0
57.389 * * [simplify]: Extracting #2: cost 11 inf + 0
57.389 * * [simplify]: Extracting #3: cost 17 inf + 3
57.389 * * [simplify]: Extracting #4: cost 14 inf + 129
57.389 * * [simplify]: Extracting #5: cost 3 inf + 794
57.390 * * [simplify]: Extracting #6: cost 0 inf + 1082
57.390 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
57.390 * [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))))
57.390 * * * * [progress]: [ 115 / 228 ] 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))))>
57.390 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
57.391 * * [simplify]: iters left: 6 (8 enodes)
57.394 * * [simplify]: iters left: 5 (32 enodes)
57.400 * * [simplify]: iters left: 4 (41 enodes)
57.407 * * [simplify]: Extracting #0: cost 1 inf + 0
57.408 * * [simplify]: Extracting #1: cost 4 inf + 0
57.408 * * [simplify]: Extracting #2: cost 8 inf + 0
57.408 * * [simplify]: Extracting #3: cost 9 inf + 163
57.408 * * [simplify]: Extracting #4: cost 13 inf + 164
57.408 * * [simplify]: Extracting #5: cost 10 inf + 249
57.408 * * [simplify]: Extracting #6: cost 3 inf + 986
57.408 * * [simplify]: Extracting #7: cost 0 inf + 1474
57.408 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
57.408 * [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))))
57.409 * * * * [progress]: [ 116 / 228 ] 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))))>
57.409 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
57.409 * * [simplify]: iters left: 6 (8 enodes)
57.412 * * [simplify]: iters left: 5 (32 enodes)
57.418 * * [simplify]: iters left: 4 (41 enodes)
57.425 * * [simplify]: Extracting #0: cost 1 inf + 0
57.425 * * [simplify]: Extracting #1: cost 4 inf + 0
57.425 * * [simplify]: Extracting #2: cost 8 inf + 0
57.426 * * [simplify]: Extracting #3: cost 9 inf + 83
57.426 * * [simplify]: Extracting #4: cost 13 inf + 84
57.426 * * [simplify]: Extracting #5: cost 10 inf + 169
57.426 * * [simplify]: Extracting #6: cost 3 inf + 866
57.426 * * [simplify]: Extracting #7: cost 0 inf + 1314
57.426 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
57.426 * [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))))
57.426 * * * * [progress]: [ 117 / 228 ] 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))))>
57.427 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
57.427 * * [simplify]: iters left: 6 (7 enodes)
57.429 * * [simplify]: iters left: 5 (29 enodes)
57.435 * * [simplify]: iters left: 4 (38 enodes)
57.441 * * [simplify]: Extracting #0: cost 1 inf + 0
57.441 * * [simplify]: Extracting #1: cost 4 inf + 0
57.441 * * [simplify]: Extracting #2: cost 5 inf + 1
57.441 * * [simplify]: Extracting #3: cost 9 inf + 1
57.441 * * [simplify]: Extracting #4: cost 13 inf + 2
57.441 * * [simplify]: Extracting #5: cost 12 inf + 4
57.442 * * [simplify]: Extracting #6: cost 2 inf + 746
57.442 * * [simplify]: Extracting #7: cost 0 inf + 1152
57.442 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
57.442 * [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))))
57.442 * * * * [progress]: [ 118 / 228 ] 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))))>
57.442 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
57.442 * * [simplify]: iters left: 6 (8 enodes)
57.446 * * [simplify]: iters left: 5 (32 enodes)
57.452 * * [simplify]: iters left: 4 (41 enodes)
57.462 * * [simplify]: Extracting #0: cost 1 inf + 0
57.462 * * [simplify]: Extracting #1: cost 4 inf + 0
57.462 * * [simplify]: Extracting #2: cost 8 inf + 0
57.462 * * [simplify]: Extracting #3: cost 9 inf + 163
57.462 * * [simplify]: Extracting #4: cost 13 inf + 164
57.462 * * [simplify]: Extracting #5: cost 10 inf + 249
57.462 * * [simplify]: Extracting #6: cost 3 inf + 906
57.463 * * [simplify]: Extracting #7: cost 0 inf + 1314
57.463 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
57.463 * [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))))
57.464 * * * * [progress]: [ 119 / 228 ] 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))))>
57.464 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
57.464 * * [simplify]: iters left: 6 (8 enodes)
57.474 * * [simplify]: iters left: 5 (32 enodes)
57.484 * * [simplify]: iters left: 4 (41 enodes)
57.497 * * [simplify]: Extracting #0: cost 1 inf + 0
57.497 * * [simplify]: Extracting #1: cost 4 inf + 0
57.497 * * [simplify]: Extracting #2: cost 8 inf + 0
57.498 * * [simplify]: Extracting #3: cost 9 inf + 83
57.498 * * [simplify]: Extracting #4: cost 13 inf + 84
57.498 * * [simplify]: Extracting #5: cost 10 inf + 169
57.498 * * [simplify]: Extracting #6: cost 3 inf + 786
57.499 * * [simplify]: Extracting #7: cost 0 inf + 1154
57.499 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
57.499 * [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))))
57.500 * * * * [progress]: [ 120 / 228 ] 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))))>
57.500 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
57.500 * * [simplify]: iters left: 6 (7 enodes)
57.505 * * [simplify]: iters left: 5 (29 enodes)
57.515 * * [simplify]: iters left: 4 (38 enodes)
57.527 * * [simplify]: Extracting #0: cost 1 inf + 0
57.527 * * [simplify]: Extracting #1: cost 4 inf + 0
57.527 * * [simplify]: Extracting #2: cost 5 inf + 1
57.527 * * [simplify]: Extracting #3: cost 9 inf + 1
57.528 * * [simplify]: Extracting #4: cost 13 inf + 2
57.528 * * [simplify]: Extracting #5: cost 12 inf + 4
57.528 * * [simplify]: Extracting #6: cost 2 inf + 666
57.528 * * [simplify]: Extracting #7: cost 0 inf + 992
57.529 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
57.529 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
57.529 * * * * [progress]: [ 121 / 228 ] 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))))>
57.529 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
57.529 * * [simplify]: iters left: 6 (8 enodes)
57.534 * * [simplify]: iters left: 5 (30 enodes)
57.545 * * [simplify]: iters left: 4 (37 enodes)
57.553 * * [simplify]: Extracting #0: cost 1 inf + 0
57.553 * * [simplify]: Extracting #1: cost 6 inf + 0
57.553 * * [simplify]: Extracting #2: cost 12 inf + 0
57.553 * * [simplify]: Extracting #3: cost 11 inf + 405
57.553 * * [simplify]: Extracting #4: cost 10 inf + 407
57.553 * * [simplify]: Extracting #5: cost 4 inf + 1220
57.553 * * [simplify]: Extracting #6: cost 0 inf + 1869
57.553 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
57.553 * [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))))
57.554 * * * * [progress]: [ 122 / 228 ] 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))))>
57.554 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
57.554 * * [simplify]: iters left: 6 (9 enodes)
57.557 * * [simplify]: iters left: 5 (33 enodes)
57.564 * * [simplify]: iters left: 4 (43 enodes)
57.571 * * [simplify]: iters left: 3 (45 enodes)
57.585 * * [simplify]: Extracting #0: cost 1 inf + 0
57.586 * * [simplify]: Extracting #1: cost 8 inf + 0
57.586 * * [simplify]: Extracting #2: cost 16 inf + 0
57.586 * * [simplify]: Extracting #3: cost 16 inf + 284
57.586 * * [simplify]: Extracting #4: cost 11 inf + 610
57.586 * * [simplify]: Extracting #5: cost 8 inf + 815
57.587 * * [simplify]: Extracting #6: cost 0 inf + 2517
57.588 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
57.588 * [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))))
57.588 * * * * [progress]: [ 123 / 228 ] 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))))>
57.588 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
57.589 * * [simplify]: iters left: 6 (8 enodes)
57.594 * * [simplify]: iters left: 5 (30 enodes)
57.604 * * [simplify]: iters left: 4 (40 enodes)
57.621 * * [simplify]: iters left: 3 (42 enodes)
57.632 * * [simplify]: Extracting #0: cost 1 inf + 0
57.632 * * [simplify]: Extracting #1: cost 8 inf + 0
57.632 * * [simplify]: Extracting #2: cost 12 inf + 82
57.633 * * [simplify]: Extracting #3: cost 13 inf + 405
57.633 * * [simplify]: Extracting #4: cost 12 inf + 407
57.633 * * [simplify]: Extracting #5: cost 5 inf + 1383
57.633 * * [simplify]: Extracting #6: cost 0 inf + 2195
57.634 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
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)))) (/ (/ (* (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))))
57.634 * * * * [progress]: [ 124 / 228 ] 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))))>
57.635 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
57.635 * * [simplify]: iters left: 6 (9 enodes)
57.639 * * [simplify]: iters left: 5 (33 enodes)
57.650 * * [simplify]: iters left: 4 (43 enodes)
57.665 * * [simplify]: iters left: 3 (45 enodes)
57.679 * * [simplify]: Extracting #0: cost 1 inf + 0
57.679 * * [simplify]: Extracting #1: cost 8 inf + 0
57.679 * * [simplify]: Extracting #2: cost 16 inf + 0
57.679 * * [simplify]: Extracting #3: cost 16 inf + 284
57.679 * * [simplify]: Extracting #4: cost 11 inf + 610
57.679 * * [simplify]: Extracting #5: cost 8 inf + 815
57.680 * * [simplify]: Extracting #6: cost 0 inf + 2517
57.681 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
57.681 * [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))))
57.681 * * * * [progress]: [ 125 / 228 ] 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))))>
57.682 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
57.682 * * [simplify]: iters left: 6 (8 enodes)
57.687 * * [simplify]: iters left: 5 (30 enodes)
57.697 * * [simplify]: iters left: 4 (35 enodes)
57.708 * * [simplify]: Extracting #0: cost 1 inf + 0
57.708 * * [simplify]: Extracting #1: cost 6 inf + 0
57.708 * * [simplify]: Extracting #2: cost 8 inf + 42
57.709 * * [simplify]: Extracting #3: cost 11 inf + 83
57.709 * * [simplify]: Extracting #4: cost 10 inf + 85
57.709 * * [simplify]: Extracting #5: cost 4 inf + 658
57.709 * * [simplify]: Extracting #6: cost 0 inf + 1227
57.710 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
57.710 * [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))))
57.710 * * * * [progress]: [ 126 / 228 ] 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))))>
57.710 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
57.710 * * [simplify]: iters left: 6 (8 enodes)
57.715 * * [simplify]: iters left: 5 (30 enodes)
57.726 * * [simplify]: iters left: 4 (40 enodes)
57.733 * * [simplify]: iters left: 3 (42 enodes)
57.740 * * [simplify]: Extracting #0: cost 1 inf + 0
57.740 * * [simplify]: Extracting #1: cost 8 inf + 0
57.740 * * [simplify]: Extracting #2: cost 12 inf + 42
57.741 * * [simplify]: Extracting #3: cost 13 inf + 245
57.741 * * [simplify]: Extracting #4: cost 12 inf + 247
57.741 * * [simplify]: Extracting #5: cost 5 inf + 1143
57.741 * * [simplify]: Extracting #6: cost 0 inf + 1875
57.741 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
57.741 * [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))))
57.742 * * * * [progress]: [ 127 / 228 ] 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))))>
57.742 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
57.742 * * [simplify]: iters left: 6 (8 enodes)
57.745 * * [simplify]: iters left: 5 (30 enodes)
57.750 * * [simplify]: iters left: 4 (40 enodes)
57.761 * * [simplify]: iters left: 3 (42 enodes)
57.768 * * [simplify]: Extracting #0: cost 1 inf + 0
57.768 * * [simplify]: Extracting #1: cost 8 inf + 0
57.768 * * [simplify]: Extracting #2: cost 11 inf + 203
57.768 * * [simplify]: Extracting #3: cost 13 inf + 405
57.768 * * [simplify]: Extracting #4: cost 12 inf + 407
57.768 * * [simplify]: Extracting #5: cost 3 inf + 1789
57.768 * * [simplify]: Extracting #6: cost 0 inf + 2195
57.769 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
57.769 * [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))))
57.769 * * * * [progress]: [ 128 / 228 ] 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))))>
57.769 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
57.769 * * [simplify]: iters left: 6 (8 enodes)
57.772 * * [simplify]: iters left: 5 (30 enodes)
57.778 * * [simplify]: iters left: 4 (40 enodes)
57.785 * * [simplify]: iters left: 3 (42 enodes)
57.797 * * [simplify]: Extracting #0: cost 1 inf + 0
57.797 * * [simplify]: Extracting #1: cost 8 inf + 0
57.798 * * [simplify]: Extracting #2: cost 11 inf + 123
57.798 * * [simplify]: Extracting #3: cost 13 inf + 245
57.798 * * [simplify]: Extracting #4: cost 12 inf + 247
57.798 * * [simplify]: Extracting #5: cost 3 inf + 1509
57.799 * * [simplify]: Extracting #6: cost 0 inf + 1875
57.799 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
57.800 * [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))))
57.800 * * * * [progress]: [ 129 / 228 ] 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))))>
57.800 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
57.800 * * [simplify]: iters left: 6 (7 enodes)
57.805 * * [simplify]: iters left: 5 (28 enodes)
57.815 * * [simplify]: iters left: 4 (35 enodes)
57.826 * * [simplify]: Extracting #0: cost 1 inf + 0
57.826 * * [simplify]: Extracting #1: cost 6 inf + 0
57.826 * * [simplify]: Extracting #2: cost 7 inf + 2
57.826 * * [simplify]: Extracting #3: cost 11 inf + 2
57.826 * * [simplify]: Extracting #4: cost 9 inf + 45
57.826 * * [simplify]: Extracting #5: cost 4 inf + 455
57.826 * * [simplify]: Extracting #6: cost 0 inf + 1066
57.827 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
57.827 * [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))))
57.827 * * * * [progress]: [ 130 / 228 ] 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))))>
57.828 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
57.828 * * [simplify]: iters left: 6 (8 enodes)
57.833 * * [simplify]: iters left: 5 (30 enodes)
57.843 * * [simplify]: iters left: 4 (37 enodes)
57.854 * * [simplify]: Extracting #0: cost 1 inf + 0
57.854 * * [simplify]: Extracting #1: cost 6 inf + 0
57.854 * * [simplify]: Extracting #2: cost 12 inf + 0
57.855 * * [simplify]: Extracting #3: cost 11 inf + 405
57.855 * * [simplify]: Extracting #4: cost 10 inf + 407
57.855 * * [simplify]: Extracting #5: cost 4 inf + 1100
57.855 * * [simplify]: Extracting #6: cost 0 inf + 1629
57.856 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
57.856 * [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))))
57.856 * * * * [progress]: [ 131 / 228 ] 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))))>
57.856 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
57.857 * * [simplify]: iters left: 6 (9 enodes)
57.862 * * [simplify]: iters left: 5 (33 enodes)
57.875 * * [simplify]: iters left: 4 (43 enodes)
57.889 * * [simplify]: iters left: 3 (45 enodes)
57.907 * * [simplify]: Extracting #0: cost 1 inf + 0
57.907 * * [simplify]: Extracting #1: cost 8 inf + 0
57.908 * * [simplify]: Extracting #2: cost 16 inf + 0
57.908 * * [simplify]: Extracting #3: cost 16 inf + 284
57.908 * * [simplify]: Extracting #4: cost 11 inf + 610
57.908 * * [simplify]: Extracting #5: cost 8 inf + 775
57.909 * * [simplify]: Extracting #6: cost 0 inf + 2197
57.910 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
57.910 * [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))))
57.910 * * * * [progress]: [ 132 / 228 ] 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))))>
57.910 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
57.910 * * [simplify]: iters left: 6 (8 enodes)
57.916 * * [simplify]: iters left: 5 (30 enodes)
57.926 * * [simplify]: iters left: 4 (40 enodes)
57.939 * * [simplify]: iters left: 3 (42 enodes)
57.952 * * [simplify]: Extracting #0: cost 1 inf + 0
57.952 * * [simplify]: Extracting #1: cost 8 inf + 0
57.953 * * [simplify]: Extracting #2: cost 12 inf + 82
57.953 * * [simplify]: Extracting #3: cost 13 inf + 405
57.953 * * [simplify]: Extracting #4: cost 12 inf + 407
57.953 * * [simplify]: Extracting #5: cost 5 inf + 1223
57.954 * * [simplify]: Extracting #6: cost 0 inf + 1875
57.955 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
57.955 * [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))))
57.955 * * * * [progress]: [ 133 / 228 ] 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))))>
57.955 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
57.956 * * [simplify]: iters left: 6 (9 enodes)
57.961 * * [simplify]: iters left: 5 (33 enodes)
57.974 * * [simplify]: iters left: 4 (43 enodes)
57.988 * * [simplify]: iters left: 3 (45 enodes)
58.003 * * [simplify]: Extracting #0: cost 1 inf + 0
58.003 * * [simplify]: Extracting #1: cost 8 inf + 0
58.003 * * [simplify]: Extracting #2: cost 16 inf + 0
58.003 * * [simplify]: Extracting #3: cost 16 inf + 284
58.003 * * [simplify]: Extracting #4: cost 11 inf + 610
58.004 * * [simplify]: Extracting #5: cost 8 inf + 775
58.004 * * [simplify]: Extracting #6: cost 0 inf + 2197
58.005 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
58.005 * [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))))
58.005 * * * * [progress]: [ 134 / 228 ] 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))))>
58.006 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
58.006 * * [simplify]: iters left: 6 (8 enodes)
58.011 * * [simplify]: iters left: 5 (30 enodes)
58.022 * * [simplify]: iters left: 4 (35 enodes)
58.031 * * [simplify]: Extracting #0: cost 1 inf + 0
58.031 * * [simplify]: Extracting #1: cost 6 inf + 0
58.031 * * [simplify]: Extracting #2: cost 8 inf + 42
58.031 * * [simplify]: Extracting #3: cost 11 inf + 83
58.031 * * [simplify]: Extracting #4: cost 10 inf + 85
58.031 * * [simplify]: Extracting #5: cost 4 inf + 538
58.031 * * [simplify]: Extracting #6: cost 0 inf + 987
58.032 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
58.032 * [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))))
58.032 * * * * [progress]: [ 135 / 228 ] 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))))>
58.032 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
58.032 * * [simplify]: iters left: 6 (8 enodes)
58.035 * * [simplify]: iters left: 5 (30 enodes)
58.041 * * [simplify]: iters left: 4 (40 enodes)
58.047 * * [simplify]: iters left: 3 (42 enodes)
58.057 * * [simplify]: Extracting #0: cost 1 inf + 0
58.058 * * [simplify]: Extracting #1: cost 8 inf + 0
58.058 * * [simplify]: Extracting #2: cost 12 inf + 42
58.058 * * [simplify]: Extracting #3: cost 13 inf + 245
58.058 * * [simplify]: Extracting #4: cost 12 inf + 247
58.058 * * [simplify]: Extracting #5: cost 5 inf + 983
58.058 * * [simplify]: Extracting #6: cost 0 inf + 1555
58.059 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
58.059 * [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))))
58.059 * * * * [progress]: [ 136 / 228 ] 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))))>
58.059 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
58.059 * * [simplify]: iters left: 6 (8 enodes)
58.062 * * [simplify]: iters left: 5 (30 enodes)
58.069 * * [simplify]: iters left: 4 (40 enodes)
58.076 * * [simplify]: iters left: 3 (42 enodes)
58.083 * * [simplify]: Extracting #0: cost 1 inf + 0
58.083 * * [simplify]: Extracting #1: cost 8 inf + 0
58.084 * * [simplify]: Extracting #2: cost 11 inf + 203
58.084 * * [simplify]: Extracting #3: cost 13 inf + 405
58.084 * * [simplify]: Extracting #4: cost 12 inf + 407
58.084 * * [simplify]: Extracting #5: cost 3 inf + 1549
58.084 * * [simplify]: Extracting #6: cost 0 inf + 1875
58.085 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
58.085 * [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))))
58.085 * * * * [progress]: [ 137 / 228 ] 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))))>
58.085 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
58.085 * * [simplify]: iters left: 6 (8 enodes)
58.088 * * [simplify]: iters left: 5 (30 enodes)
58.094 * * [simplify]: iters left: 4 (40 enodes)
58.102 * * [simplify]: iters left: 3 (42 enodes)
58.109 * * [simplify]: Extracting #0: cost 1 inf + 0
58.109 * * [simplify]: Extracting #1: cost 8 inf + 0
58.109 * * [simplify]: Extracting #2: cost 11 inf + 123
58.109 * * [simplify]: Extracting #3: cost 13 inf + 245
58.109 * * [simplify]: Extracting #4: cost 12 inf + 247
58.109 * * [simplify]: Extracting #5: cost 3 inf + 1269
58.110 * * [simplify]: Extracting #6: cost 0 inf + 1555
58.110 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
58.110 * [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))))
58.110 * * * * [progress]: [ 138 / 228 ] 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))))>
58.110 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
58.110 * * [simplify]: iters left: 6 (7 enodes)
58.113 * * [simplify]: iters left: 5 (28 enodes)
58.118 * * [simplify]: iters left: 4 (35 enodes)
58.124 * * [simplify]: Extracting #0: cost 1 inf + 0
58.124 * * [simplify]: Extracting #1: cost 6 inf + 0
58.124 * * [simplify]: Extracting #2: cost 7 inf + 2
58.125 * * [simplify]: Extracting #3: cost 11 inf + 2
58.125 * * [simplify]: Extracting #4: cost 9 inf + 45
58.125 * * [simplify]: Extracting #5: cost 4 inf + 375
58.125 * * [simplify]: Extracting #6: cost 0 inf + 826
58.125 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
58.125 * [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))))
58.125 * * * * [progress]: [ 139 / 228 ] 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))))>
58.125 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
58.126 * * [simplify]: iters left: 6 (7 enodes)
58.128 * * [simplify]: iters left: 5 (30 enodes)
58.134 * * [simplify]: iters left: 4 (49 enodes)
58.143 * * [simplify]: iters left: 3 (59 enodes)
58.155 * * [simplify]: iters left: 2 (64 enodes)
58.165 * * [simplify]: Extracting #0: cost 1 inf + 0
58.165 * * [simplify]: Extracting #1: cost 9 inf + 0
58.165 * * [simplify]: Extracting #2: cost 23 inf + 0
58.165 * * [simplify]: Extracting #3: cost 24 inf + 3
58.165 * * [simplify]: Extracting #4: cost 15 inf + 980
58.165 * * [simplify]: Extracting #5: cost 1 inf + 3007
58.166 * * [simplify]: Extracting #6: cost 0 inf + 3169
58.166 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
58.166 * [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))))
58.167 * * * * [progress]: [ 140 / 228 ] 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))))>
58.167 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
58.167 * * [simplify]: iters left: 6 (8 enodes)
58.170 * * [simplify]: iters left: 5 (33 enodes)
58.177 * * [simplify]: iters left: 4 (55 enodes)
58.187 * * [simplify]: iters left: 3 (72 enodes)
58.208 * * [simplify]: iters left: 2 (84 enodes)
58.234 * * [simplify]: iters left: 1 (88 enodes)
58.254 * * [simplify]: Extracting #0: cost 1 inf + 0
58.254 * * [simplify]: Extracting #1: cost 11 inf + 0
58.254 * * [simplify]: Extracting #2: cost 30 inf + 0
58.254 * * [simplify]: Extracting #3: cost 33 inf + 84
58.254 * * [simplify]: Extracting #4: cost 12 inf + 2402
58.255 * * [simplify]: Extracting #5: cost 0 inf + 4469
58.256 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
58.256 * [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))))
58.256 * * * * [progress]: [ 141 / 228 ] 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))))>
58.256 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
58.256 * * [simplify]: iters left: 6 (7 enodes)
58.259 * * [simplify]: iters left: 5 (30 enodes)
58.267 * * [simplify]: iters left: 4 (52 enodes)
58.277 * * [simplify]: iters left: 3 (70 enodes)
58.295 * * [simplify]: iters left: 2 (81 enodes)
58.309 * * [simplify]: iters left: 1 (84 enodes)
58.322 * * [simplify]: Extracting #0: cost 1 inf + 0
58.322 * * [simplify]: Extracting #1: cost 11 inf + 0
58.322 * * [simplify]: Extracting #2: cost 25 inf + 203
58.322 * * [simplify]: Extracting #3: cost 25 inf + 530
58.323 * * [simplify]: Extracting #4: cost 4 inf + 2936
58.323 * * [simplify]: Extracting #5: cost 0 inf + 3504
58.324 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
58.324 * [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))))
58.324 * * * * [progress]: [ 142 / 228 ] 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))))>
58.325 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
58.325 * * [simplify]: iters left: 6 (8 enodes)
58.328 * * [simplify]: iters left: 5 (33 enodes)
58.335 * * [simplify]: iters left: 4 (55 enodes)
58.348 * * [simplify]: iters left: 3 (72 enodes)
58.365 * * [simplify]: iters left: 2 (84 enodes)
58.381 * * [simplify]: iters left: 1 (88 enodes)
58.394 * * [simplify]: Extracting #0: cost 1 inf + 0
58.394 * * [simplify]: Extracting #1: cost 11 inf + 0
58.394 * * [simplify]: Extracting #2: cost 30 inf + 0
58.394 * * [simplify]: Extracting #3: cost 33 inf + 44
58.394 * * [simplify]: Extracting #4: cost 12 inf + 2362
58.395 * * [simplify]: Extracting #5: cost 0 inf + 4469
58.396 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
58.396 * [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))))
58.396 * * * * [progress]: [ 143 / 228 ] 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))))>
58.396 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
58.396 * * [simplify]: iters left: 6 (7 enodes)
58.399 * * [simplify]: iters left: 5 (30 enodes)
58.409 * * [simplify]: iters left: 4 (48 enodes)
58.425 * * [simplify]: iters left: 3 (56 enodes)
58.433 * * [simplify]: Extracting #0: cost 1 inf + 0
58.433 * * [simplify]: Extracting #1: cost 8 inf + 0
58.434 * * [simplify]: Extracting #2: cost 15 inf + 43
58.434 * * [simplify]: Extracting #3: cost 16 inf + 86
58.434 * * [simplify]: Extracting #4: cost 5 inf + 911
58.434 * * [simplify]: Extracting #5: cost 1 inf + 1198
58.434 * * [simplify]: Extracting #6: cost 0 inf + 1320
58.435 * [simplify]: Simplified to (/ (- 1 k) 2)
58.435 * [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))))
58.435 * * * * [progress]: [ 144 / 228 ] 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))))>
58.435 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
58.435 * * [simplify]: iters left: 6 (7 enodes)
58.438 * * [simplify]: iters left: 5 (30 enodes)
58.444 * * [simplify]: iters left: 4 (52 enodes)
58.453 * * [simplify]: iters left: 3 (70 enodes)
58.464 * * [simplify]: iters left: 2 (81 enodes)
58.479 * * [simplify]: iters left: 1 (84 enodes)
58.498 * * [simplify]: Extracting #0: cost 1 inf + 0
58.499 * * [simplify]: Extracting #1: cost 11 inf + 0
58.499 * * [simplify]: Extracting #2: cost 25 inf + 123
58.499 * * [simplify]: Extracting #3: cost 25 inf + 330
58.500 * * [simplify]: Extracting #4: cost 4 inf + 2256
58.501 * * [simplify]: Extracting #5: cost 0 inf + 2704
58.502 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
58.502 * [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))))
58.503 * * * * [progress]: [ 145 / 228 ] 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))))>
58.503 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
58.503 * * [simplify]: iters left: 6 (7 enodes)
58.506 * * [simplify]: iters left: 5 (31 enodes)
58.513 * * [simplify]: iters left: 4 (51 enodes)
58.521 * * [simplify]: iters left: 3 (64 enodes)
58.532 * * [simplify]: iters left: 2 (77 enodes)
58.550 * * [simplify]: iters left: 1 (84 enodes)
58.569 * * [simplify]: Extracting #0: cost 1 inf + 0
58.569 * * [simplify]: Extracting #1: cost 11 inf + 0
58.569 * * [simplify]: Extracting #2: cost 26 inf + 82
58.570 * * [simplify]: Extracting #3: cost 24 inf + 692
58.570 * * [simplify]: Extracting #4: cost 3 inf + 3057
58.571 * * [simplify]: Extracting #5: cost 0 inf + 3504
58.571 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
58.571 * [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))))
58.571 * * * * [progress]: [ 146 / 228 ] 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))))>
58.572 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
58.572 * * [simplify]: iters left: 6 (7 enodes)
58.577 * * [simplify]: iters left: 5 (31 enodes)
58.583 * * [simplify]: iters left: 4 (51 enodes)
58.593 * * [simplify]: iters left: 3 (64 enodes)
58.612 * * [simplify]: iters left: 2 (77 enodes)
58.634 * * [simplify]: iters left: 1 (84 enodes)
58.658 * * [simplify]: Extracting #0: cost 1 inf + 0
58.658 * * [simplify]: Extracting #1: cost 11 inf + 0
58.658 * * [simplify]: Extracting #2: cost 26 inf + 42
58.658 * * [simplify]: Extracting #3: cost 24 inf + 452
58.659 * * [simplify]: Extracting #4: cost 3 inf + 2337
58.660 * * [simplify]: Extracting #5: cost 0 inf + 2704
58.661 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
58.661 * [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))))
58.662 * * * * [progress]: [ 147 / 228 ] 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))))>
58.662 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
58.662 * * [simplify]: iters left: 6 (6 enodes)
58.667 * * [simplify]: iters left: 5 (29 enodes)
58.677 * * [simplify]: iters left: 4 (44 enodes)
58.691 * * [simplify]: iters left: 3 (50 enodes)
58.700 * * [simplify]: iters left: 2 (57 enodes)
58.712 * * [simplify]: Extracting #0: cost 1 inf + 0
58.712 * * [simplify]: Extracting #1: cost 9 inf + 0
58.712 * * [simplify]: Extracting #2: cost 15 inf + 3
58.712 * * [simplify]: Extracting #3: cost 11 inf + 131
58.712 * * [simplify]: Extracting #4: cost 2 inf + 711
58.713 * * [simplify]: Extracting #5: cost 0 inf + 836
58.713 * [simplify]: Simplified to (- 1/4 (/ k 4))
58.713 * [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))))
58.713 * * * * [progress]: [ 148 / 228 ] 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))))>
58.713 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
58.713 * * [simplify]: iters left: 6 (9 enodes)
58.717 * * [simplify]: iters left: 5 (36 enodes)
58.727 * * [simplify]: iters left: 4 (58 enodes)
58.741 * * [simplify]: iters left: 3 (71 enodes)
58.752 * * [simplify]: iters left: 2 (79 enodes)
58.765 * * [simplify]: iters left: 1 (80 enodes)
58.784 * * [simplify]: Extracting #0: cost 1 inf + 0
58.784 * * [simplify]: Extracting #1: cost 9 inf + 0
58.784 * * [simplify]: Extracting #2: cost 24 inf + 0
58.784 * * [simplify]: Extracting #3: cost 29 inf + 2
58.784 * * [simplify]: Extracting #4: cost 10 inf + 2233
58.785 * * [simplify]: Extracting #5: cost 1 inf + 4013
58.786 * * [simplify]: Extracting #6: cost 0 inf + 4135
58.786 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
58.787 * [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))))
58.787 * * * * [progress]: [ 149 / 228 ] 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))))>
58.787 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
58.787 * * [simplify]: iters left: 6 (10 enodes)
58.791 * * [simplify]: iters left: 5 (39 enodes)
58.799 * * [simplify]: iters left: 4 (64 enodes)
58.811 * * [simplify]: iters left: 3 (86 enodes)
58.841 * * [simplify]: iters left: 2 (99 enodes)
58.869 * * [simplify]: iters left: 1 (104 enodes)
58.897 * * [simplify]: Extracting #0: cost 1 inf + 0
58.897 * * [simplify]: Extracting #1: cost 11 inf + 0
58.897 * * [simplify]: Extracting #2: cost 31 inf + 0
58.897 * * [simplify]: Extracting #3: cost 39 inf + 2
58.898 * * [simplify]: Extracting #4: cost 22 inf + 1871
58.899 * * [simplify]: Extracting #5: cost 4 inf + 4865
58.902 * * [simplify]: Extracting #6: cost 0 inf + 5675
58.904 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
58.904 * [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))))
58.904 * * * * [progress]: [ 150 / 228 ] 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))))>
58.904 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
58.904 * * [simplify]: iters left: 6 (9 enodes)
58.911 * * [simplify]: iters left: 5 (36 enodes)
58.923 * * [simplify]: iters left: 4 (61 enodes)
58.943 * * [simplify]: iters left: 3 (84 enodes)
58.968 * * [simplify]: iters left: 2 (96 enodes)
58.999 * * [simplify]: iters left: 1 (100 enodes)
59.021 * * [simplify]: Extracting #0: cost 1 inf + 0
59.021 * * [simplify]: Extracting #1: cost 11 inf + 0
59.021 * * [simplify]: Extracting #2: cost 27 inf + 82
59.021 * * [simplify]: Extracting #3: cost 29 inf + 651
59.021 * * [simplify]: Extracting #4: cost 12 inf + 2763
59.022 * * [simplify]: Extracting #5: cost 1 inf + 4587
59.023 * * [simplify]: Extracting #6: cost 0 inf + 4710
59.023 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
59.023 * [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))))
59.024 * * * * [progress]: [ 151 / 228 ] 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))))>
59.024 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
59.024 * * [simplify]: iters left: 6 (10 enodes)
59.028 * * [simplify]: iters left: 5 (39 enodes)
59.035 * * [simplify]: iters left: 4 (64 enodes)
59.046 * * [simplify]: iters left: 3 (86 enodes)
59.069 * * [simplify]: iters left: 2 (99 enodes)
59.095 * * [simplify]: iters left: 1 (104 enodes)
59.127 * * [simplify]: Extracting #0: cost 1 inf + 0
59.127 * * [simplify]: Extracting #1: cost 11 inf + 0
59.127 * * [simplify]: Extracting #2: cost 31 inf + 0
59.127 * * [simplify]: Extracting #3: cost 39 inf + 2
59.128 * * [simplify]: Extracting #4: cost 22 inf + 1831
59.129 * * [simplify]: Extracting #5: cost 4 inf + 4785
59.131 * * [simplify]: Extracting #6: cost 0 inf + 5595
59.132 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
59.132 * [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))))
59.132 * * * * [progress]: [ 152 / 228 ] 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))))>
59.133 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
59.133 * * [simplify]: iters left: 6 (9 enodes)
59.136 * * [simplify]: iters left: 5 (36 enodes)
59.143 * * [simplify]: iters left: 4 (57 enodes)
59.153 * * [simplify]: iters left: 3 (73 enodes)
59.164 * * [simplify]: iters left: 2 (80 enodes)
59.175 * * [simplify]: iters left: 1 (81 enodes)
59.187 * * [simplify]: Extracting #0: cost 1 inf + 0
59.187 * * [simplify]: Extracting #1: cost 9 inf + 0
59.188 * * [simplify]: Extracting #2: cost 18 inf + 43
59.188 * * [simplify]: Extracting #3: cost 23 inf + 85
59.188 * * [simplify]: Extracting #4: cost 9 inf + 1271
59.189 * * [simplify]: Extracting #5: cost 0 inf + 2370
59.190 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
59.190 * [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))))
59.191 * * * * [progress]: [ 153 / 228 ] 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))))>
59.191 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
59.191 * * [simplify]: iters left: 6 (9 enodes)
59.197 * * [simplify]: iters left: 5 (36 enodes)
59.209 * * [simplify]: iters left: 4 (61 enodes)
59.231 * * [simplify]: iters left: 3 (84 enodes)
59.256 * * [simplify]: iters left: 2 (96 enodes)
59.277 * * [simplify]: iters left: 1 (100 enodes)
59.290 * * [simplify]: Extracting #0: cost 1 inf + 0
59.290 * * [simplify]: Extracting #1: cost 11 inf + 0
59.291 * * [simplify]: Extracting #2: cost 27 inf + 42
59.291 * * [simplify]: Extracting #3: cost 29 inf + 411
59.291 * * [simplify]: Extracting #4: cost 12 inf + 2163
59.292 * * [simplify]: Extracting #5: cost 1 inf + 3707
59.293 * * [simplify]: Extracting #6: cost 0 inf + 3830
59.294 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
59.294 * [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))))
59.294 * * * * [progress]: [ 154 / 228 ] 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))))>
59.294 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
59.294 * * [simplify]: iters left: 6 (9 enodes)
59.297 * * [simplify]: iters left: 5 (36 enodes)
59.309 * * [simplify]: iters left: 4 (62 enodes)
59.327 * * [simplify]: iters left: 3 (78 enodes)
59.349 * * [simplify]: iters left: 2 (90 enodes)
59.378 * * [simplify]: iters left: 1 (94 enodes)
59.400 * * [simplify]: Extracting #0: cost 1 inf + 0
59.401 * * [simplify]: Extracting #1: cost 11 inf + 0
59.401 * * [simplify]: Extracting #2: cost 27 inf + 1
59.401 * * [simplify]: Extracting #3: cost 29 inf + 409
59.401 * * [simplify]: Extracting #4: cost 12 inf + 2359
59.402 * * [simplify]: Extracting #5: cost 2 inf + 4022
59.402 * * [simplify]: Extracting #6: cost 0 inf + 4466
59.403 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
59.403 * [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))))
59.403 * * * * [progress]: [ 155 / 228 ] 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))))>
59.404 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
59.404 * * [simplify]: iters left: 6 (9 enodes)
59.407 * * [simplify]: iters left: 5 (36 enodes)
59.415 * * [simplify]: iters left: 4 (62 enodes)
59.425 * * [simplify]: iters left: 3 (78 enodes)
59.441 * * [simplify]: iters left: 2 (90 enodes)
59.455 * * [simplify]: iters left: 1 (94 enodes)
59.468 * * [simplify]: Extracting #0: cost 1 inf + 0
59.468 * * [simplify]: Extracting #1: cost 11 inf + 0
59.468 * * [simplify]: Extracting #2: cost 27 inf + 1
59.468 * * [simplify]: Extracting #3: cost 29 inf + 249
59.469 * * [simplify]: Extracting #4: cost 12 inf + 1879
59.469 * * [simplify]: Extracting #5: cost 2 inf + 3302
59.470 * * [simplify]: Extracting #6: cost 0 inf + 3666
59.473 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
59.473 * [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))))
59.474 * * * * [progress]: [ 156 / 228 ] 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))))>
59.474 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
59.474 * * [simplify]: iters left: 6 (8 enodes)
59.479 * * [simplify]: iters left: 5 (34 enodes)
59.492 * * [simplify]: iters left: 4 (58 enodes)
59.509 * * [simplify]: iters left: 3 (65 enodes)
59.526 * * [simplify]: Extracting #0: cost 1 inf + 0
59.526 * * [simplify]: Extracting #1: cost 8 inf + 0
59.526 * * [simplify]: Extracting #2: cost 14 inf + 3
59.526 * * [simplify]: Extracting #3: cost 17 inf + 5
59.526 * * [simplify]: Extracting #4: cost 12 inf + 292
59.527 * * [simplify]: Extracting #5: cost 1 inf + 1355
59.527 * * [simplify]: Extracting #6: cost 0 inf + 1478
59.528 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
59.528 * [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))))
59.528 * * * * [progress]: [ 157 / 228 ] 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))))>
59.528 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
59.529 * * [simplify]: iters left: 6 (8 enodes)
59.533 * * [simplify]: iters left: 5 (33 enodes)
59.546 * * [simplify]: iters left: 4 (52 enodes)
59.562 * * [simplify]: iters left: 3 (62 enodes)
59.581 * * [simplify]: iters left: 2 (67 enodes)
59.592 * * [simplify]: Extracting #0: cost 1 inf + 0
59.592 * * [simplify]: Extracting #1: cost 9 inf + 0
59.592 * * [simplify]: Extracting #2: cost 23 inf + 0
59.592 * * [simplify]: Extracting #3: cost 24 inf + 285
59.592 * * [simplify]: Extracting #4: cost 18 inf + 975
59.592 * * [simplify]: Extracting #5: cost 7 inf + 2516
59.593 * * [simplify]: Extracting #6: cost 0 inf + 3891
59.594 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
59.594 * [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))))
59.594 * * * * [progress]: [ 158 / 228 ] 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))))>
59.594 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
59.594 * * [simplify]: iters left: 6 (9 enodes)
59.597 * * [simplify]: iters left: 5 (36 enodes)
59.605 * * [simplify]: iters left: 4 (58 enodes)
59.626 * * [simplify]: iters left: 3 (75 enodes)
59.638 * * [simplify]: iters left: 2 (87 enodes)
59.652 * * [simplify]: iters left: 1 (91 enodes)
59.678 * * [simplify]: Extracting #0: cost 1 inf + 0
59.678 * * [simplify]: Extracting #1: cost 11 inf + 0
59.678 * * [simplify]: Extracting #2: cost 30 inf + 0
59.678 * * [simplify]: Extracting #3: cost 36 inf + 83
59.678 * * [simplify]: Extracting #4: cost 30 inf + 451
59.679 * * [simplify]: Extracting #5: cost 10 inf + 3649
59.681 * * [simplify]: Extracting #6: cost 0 inf + 5431
59.683 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
59.683 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (+ 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))))
59.683 * * * * [progress]: [ 159 / 228 ] 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))))>
59.684 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
59.684 * * [simplify]: iters left: 6 (8 enodes)
59.688 * * [simplify]: iters left: 5 (33 enodes)
59.695 * * [simplify]: iters left: 4 (55 enodes)
59.705 * * [simplify]: iters left: 3 (73 enodes)
59.719 * * [simplify]: iters left: 2 (84 enodes)
59.744 * * [simplify]: iters left: 1 (87 enodes)
59.758 * * [simplify]: Extracting #0: cost 1 inf + 0
59.758 * * [simplify]: Extracting #1: cost 11 inf + 0
59.758 * * [simplify]: Extracting #2: cost 25 inf + 203
59.758 * * [simplify]: Extracting #3: cost 29 inf + 407
59.758 * * [simplify]: Extracting #4: cost 24 inf + 896
59.758 * * [simplify]: Extracting #5: cost 9 inf + 2805
59.759 * * [simplify]: Extracting #6: cost 0 inf + 4466
59.760 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
59.760 * [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))))
59.760 * * * * [progress]: [ 160 / 228 ] 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))))>
59.760 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
59.760 * * [simplify]: iters left: 6 (9 enodes)
59.764 * * [simplify]: iters left: 5 (36 enodes)
59.774 * * [simplify]: iters left: 4 (58 enodes)
59.793 * * [simplify]: iters left: 3 (75 enodes)
59.816 * * [simplify]: iters left: 2 (87 enodes)
59.841 * * [simplify]: iters left: 1 (91 enodes)
59.866 * * [simplify]: Extracting #0: cost 1 inf + 0
59.866 * * [simplify]: Extracting #1: cost 11 inf + 0
59.867 * * [simplify]: Extracting #2: cost 30 inf + 0
59.867 * * [simplify]: Extracting #3: cost 36 inf + 43
59.867 * * [simplify]: Extracting #4: cost 30 inf + 451
59.867 * * [simplify]: Extracting #5: cost 10 inf + 3769
59.868 * * [simplify]: Extracting #6: cost 0 inf + 5431
59.869 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
59.869 * [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))))
59.869 * * * * [progress]: [ 161 / 228 ] 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))))>
59.869 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
59.870 * * [simplify]: iters left: 6 (8 enodes)
59.872 * * [simplify]: iters left: 5 (33 enodes)
59.879 * * [simplify]: iters left: 4 (51 enodes)
59.887 * * [simplify]: iters left: 3 (59 enodes)
59.896 * * [simplify]: Extracting #0: cost 1 inf + 0
59.896 * * [simplify]: Extracting #1: cost 8 inf + 0
59.897 * * [simplify]: Extracting #2: cost 15 inf + 43
59.897 * * [simplify]: Extracting #3: cost 19 inf + 85
59.897 * * [simplify]: Extracting #4: cost 16 inf + 250
59.897 * * [simplify]: Extracting #5: cost 5 inf + 1311
59.897 * * [simplify]: Extracting #6: cost 0 inf + 1962
59.898 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
59.898 * [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))))
59.898 * * * * [progress]: [ 162 / 228 ] 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))))>
59.899 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
59.899 * * [simplify]: iters left: 6 (8 enodes)
59.902 * * [simplify]: iters left: 5 (33 enodes)
59.912 * * [simplify]: iters left: 4 (55 enodes)
59.930 * * [simplify]: iters left: 3 (73 enodes)
59.952 * * [simplify]: iters left: 2 (84 enodes)
59.976 * * [simplify]: iters left: 1 (87 enodes)
60.004 * * [simplify]: Extracting #0: cost 1 inf + 0
60.004 * * [simplify]: Extracting #1: cost 11 inf + 0
60.004 * * [simplify]: Extracting #2: cost 25 inf + 123
60.004 * * [simplify]: Extracting #3: cost 29 inf + 247
60.004 * * [simplify]: Extracting #4: cost 24 inf + 576
60.004 * * [simplify]: Extracting #5: cost 9 inf + 2245
60.005 * * [simplify]: Extracting #6: cost 0 inf + 3666
60.006 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
60.006 * [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))))
60.006 * * * * [progress]: [ 163 / 228 ] 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))))>
60.006 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
60.006 * * [simplify]: iters left: 6 (8 enodes)
60.010 * * [simplify]: iters left: 5 (34 enodes)
60.016 * * [simplify]: iters left: 4 (54 enodes)
60.026 * * [simplify]: iters left: 3 (67 enodes)
60.040 * * [simplify]: iters left: 2 (80 enodes)
60.058 * * [simplify]: iters left: 1 (87 enodes)
60.072 * * [simplify]: Extracting #0: cost 1 inf + 0
60.072 * * [simplify]: Extracting #1: cost 11 inf + 0
60.072 * * [simplify]: Extracting #2: cost 25 inf + 203
60.072 * * [simplify]: Extracting #3: cost 26 inf + 773
60.072 * * [simplify]: Extracting #4: cost 24 inf + 896
60.073 * * [simplify]: Extracting #5: cost 8 inf + 3127
60.073 * * [simplify]: Extracting #6: cost 0 inf + 4466
60.074 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
60.074 * [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 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
60.074 * * * * [progress]: [ 164 / 228 ] 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))))>
60.074 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
60.074 * * [simplify]: iters left: 6 (8 enodes)
60.077 * * [simplify]: iters left: 5 (34 enodes)
60.084 * * [simplify]: iters left: 4 (54 enodes)
60.096 * * [simplify]: iters left: 3 (67 enodes)
60.107 * * [simplify]: iters left: 2 (80 enodes)
60.120 * * [simplify]: iters left: 1 (87 enodes)
60.133 * * [simplify]: Extracting #0: cost 1 inf + 0
60.133 * * [simplify]: Extracting #1: cost 11 inf + 0
60.133 * * [simplify]: Extracting #2: cost 25 inf + 123
60.133 * * [simplify]: Extracting #3: cost 26 inf + 493
60.133 * * [simplify]: Extracting #4: cost 24 inf + 576
60.133 * * [simplify]: Extracting #5: cost 8 inf + 2527
60.134 * * [simplify]: Extracting #6: cost 0 inf + 3666
60.135 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
60.135 * [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))))
60.135 * * * * [progress]: [ 165 / 228 ] 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))))>
60.135 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
60.135 * * [simplify]: iters left: 6 (7 enodes)
60.138 * * [simplify]: iters left: 5 (32 enodes)
60.145 * * [simplify]: iters left: 4 (50 enodes)
60.154 * * [simplify]: iters left: 3 (54 enodes)
60.169 * * [simplify]: Extracting #0: cost 1 inf + 0
60.169 * * [simplify]: Extracting #1: cost 8 inf + 0
60.169 * * [simplify]: Extracting #2: cost 13 inf + 3
60.169 * * [simplify]: Extracting #3: cost 15 inf + 5
60.169 * * [simplify]: Extracting #4: cost 14 inf + 6
60.170 * * [simplify]: Extracting #5: cost 4 inf + 825
60.170 * * [simplify]: Extracting #6: cost 0 inf + 1234
60.171 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
60.171 * [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))))
60.171 * * * * [progress]: [ 166 / 228 ] 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))))>
60.172 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
60.172 * * [simplify]: iters left: 6 (7 enodes)
60.176 * * [simplify]: iters left: 5 (30 enodes)
60.188 * * [simplify]: iters left: 4 (49 enodes)
60.204 * * [simplify]: iters left: 3 (59 enodes)
60.227 * * [simplify]: iters left: 2 (64 enodes)
60.246 * * [simplify]: Extracting #0: cost 1 inf + 0
60.246 * * [simplify]: Extracting #1: cost 9 inf + 0
60.246 * * [simplify]: Extracting #2: cost 23 inf + 0
60.246 * * [simplify]: Extracting #3: cost 24 inf + 3
60.246 * * [simplify]: Extracting #4: cost 15 inf + 980
60.247 * * [simplify]: Extracting #5: cost 1 inf + 3007
60.248 * * [simplify]: Extracting #6: cost 0 inf + 3169
60.249 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
60.249 * [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))))
60.249 * * * * [progress]: [ 167 / 228 ] 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))))>
60.250 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
60.250 * * [simplify]: iters left: 6 (8 enodes)
60.255 * * [simplify]: iters left: 5 (33 enodes)
60.268 * * [simplify]: iters left: 4 (55 enodes)
60.288 * * [simplify]: iters left: 3 (72 enodes)
60.302 * * [simplify]: iters left: 2 (84 enodes)
60.315 * * [simplify]: iters left: 1 (88 enodes)
60.331 * * [simplify]: Extracting #0: cost 1 inf + 0
60.331 * * [simplify]: Extracting #1: cost 11 inf + 0
60.332 * * [simplify]: Extracting #2: cost 30 inf + 0
60.332 * * [simplify]: Extracting #3: cost 33 inf + 84
60.332 * * [simplify]: Extracting #4: cost 12 inf + 2402
60.334 * * [simplify]: Extracting #5: cost 0 inf + 4469
60.335 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
60.335 * [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))))
60.336 * * * * [progress]: [ 168 / 228 ] 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))))>
60.336 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
60.336 * * [simplify]: iters left: 6 (7 enodes)
60.341 * * [simplify]: iters left: 5 (30 enodes)
60.356 * * [simplify]: iters left: 4 (52 enodes)
60.366 * * [simplify]: iters left: 3 (70 enodes)
60.378 * * [simplify]: iters left: 2 (81 enodes)
60.390 * * [simplify]: iters left: 1 (84 enodes)
60.403 * * [simplify]: Extracting #0: cost 1 inf + 0
60.403 * * [simplify]: Extracting #1: cost 11 inf + 0
60.403 * * [simplify]: Extracting #2: cost 25 inf + 203
60.404 * * [simplify]: Extracting #3: cost 25 inf + 530
60.404 * * [simplify]: Extracting #4: cost 4 inf + 2936
60.406 * * [simplify]: Extracting #5: cost 0 inf + 3504
60.407 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
60.407 * [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))))
60.407 * * * * [progress]: [ 169 / 228 ] 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))))>
60.408 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
60.408 * * [simplify]: iters left: 6 (8 enodes)
60.413 * * [simplify]: iters left: 5 (33 enodes)
60.426 * * [simplify]: iters left: 4 (55 enodes)
60.445 * * [simplify]: iters left: 3 (72 enodes)
60.468 * * [simplify]: iters left: 2 (84 enodes)
60.481 * * [simplify]: iters left: 1 (88 enodes)
60.496 * * [simplify]: Extracting #0: cost 1 inf + 0
60.496 * * [simplify]: Extracting #1: cost 11 inf + 0
60.496 * * [simplify]: Extracting #2: cost 30 inf + 0
60.497 * * [simplify]: Extracting #3: cost 33 inf + 44
60.497 * * [simplify]: Extracting #4: cost 12 inf + 2362
60.499 * * [simplify]: Extracting #5: cost 0 inf + 4469
60.500 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
60.500 * [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))))
60.501 * * * * [progress]: [ 170 / 228 ] 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))))>
60.501 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
60.501 * * [simplify]: iters left: 6 (7 enodes)
60.506 * * [simplify]: iters left: 5 (30 enodes)
60.518 * * [simplify]: iters left: 4 (48 enodes)
60.533 * * [simplify]: iters left: 3 (56 enodes)
60.549 * * [simplify]: Extracting #0: cost 1 inf + 0
60.549 * * [simplify]: Extracting #1: cost 8 inf + 0
60.549 * * [simplify]: Extracting #2: cost 15 inf + 43
60.550 * * [simplify]: Extracting #3: cost 16 inf + 86
60.550 * * [simplify]: Extracting #4: cost 5 inf + 911
60.550 * * [simplify]: Extracting #5: cost 1 inf + 1198
60.551 * * [simplify]: Extracting #6: cost 0 inf + 1320
60.552 * [simplify]: Simplified to (/ (- 1 k) 2)
60.552 * [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))))
60.552 * * * * [progress]: [ 171 / 228 ] 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))))>
60.552 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
60.552 * * [simplify]: iters left: 6 (7 enodes)
60.557 * * [simplify]: iters left: 5 (30 enodes)
60.569 * * [simplify]: iters left: 4 (52 enodes)
60.587 * * [simplify]: iters left: 3 (70 enodes)
60.612 * * [simplify]: iters left: 2 (81 enodes)
60.636 * * [simplify]: iters left: 1 (84 enodes)
60.659 * * [simplify]: Extracting #0: cost 1 inf + 0
60.659 * * [simplify]: Extracting #1: cost 11 inf + 0
60.659 * * [simplify]: Extracting #2: cost 25 inf + 123
60.659 * * [simplify]: Extracting #3: cost 25 inf + 330
60.660 * * [simplify]: Extracting #4: cost 4 inf + 2256
60.661 * * [simplify]: Extracting #5: cost 0 inf + 2704
60.662 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
60.662 * [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))))
60.663 * * * * [progress]: [ 172 / 228 ] 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))))>
60.663 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
60.663 * * [simplify]: iters left: 6 (7 enodes)
60.668 * * [simplify]: iters left: 5 (31 enodes)
60.674 * * [simplify]: iters left: 4 (51 enodes)
60.683 * * [simplify]: iters left: 3 (64 enodes)
60.693 * * [simplify]: iters left: 2 (77 enodes)
60.714 * * [simplify]: iters left: 1 (84 enodes)
60.729 * * [simplify]: Extracting #0: cost 1 inf + 0
60.729 * * [simplify]: Extracting #1: cost 11 inf + 0
60.729 * * [simplify]: Extracting #2: cost 26 inf + 82
60.729 * * [simplify]: Extracting #3: cost 24 inf + 692
60.729 * * [simplify]: Extracting #4: cost 3 inf + 3057
60.730 * * [simplify]: Extracting #5: cost 0 inf + 3504
60.731 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
60.731 * [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))))
60.731 * * * * [progress]: [ 173 / 228 ] 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))))>
60.731 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
60.731 * * [simplify]: iters left: 6 (7 enodes)
60.737 * * [simplify]: iters left: 5 (31 enodes)
60.743 * * [simplify]: iters left: 4 (51 enodes)
60.754 * * [simplify]: iters left: 3 (64 enodes)
60.773 * * [simplify]: iters left: 2 (77 enodes)
60.796 * * [simplify]: iters left: 1 (84 enodes)
60.820 * * [simplify]: Extracting #0: cost 1 inf + 0
60.820 * * [simplify]: Extracting #1: cost 11 inf + 0
60.820 * * [simplify]: Extracting #2: cost 26 inf + 42
60.820 * * [simplify]: Extracting #3: cost 24 inf + 452
60.821 * * [simplify]: Extracting #4: cost 3 inf + 2337
60.821 * * [simplify]: Extracting #5: cost 0 inf + 2704
60.822 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
60.822 * [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))))
60.822 * * * * [progress]: [ 174 / 228 ] 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))))>
60.822 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
60.822 * * [simplify]: iters left: 6 (6 enodes)
60.825 * * [simplify]: iters left: 5 (29 enodes)
60.831 * * [simplify]: iters left: 4 (44 enodes)
60.839 * * [simplify]: iters left: 3 (50 enodes)
60.849 * * [simplify]: iters left: 2 (57 enodes)
60.870 * * [simplify]: Extracting #0: cost 1 inf + 0
60.870 * * [simplify]: Extracting #1: cost 9 inf + 0
60.870 * * [simplify]: Extracting #2: cost 15 inf + 3
60.870 * * [simplify]: Extracting #3: cost 11 inf + 131
60.871 * * [simplify]: Extracting #4: cost 2 inf + 711
60.871 * * [simplify]: Extracting #5: cost 0 inf + 836
60.872 * [simplify]: Simplified to (- 1/4 (/ k 4))
60.872 * [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))))
60.872 * * * * [progress]: [ 175 / 228 ] 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))))>
60.872 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
60.872 * * [simplify]: iters left: 6 (7 enodes)
60.878 * * [simplify]: iters left: 5 (31 enodes)
60.888 * * [simplify]: iters left: 4 (51 enodes)
60.897 * * [simplify]: iters left: 3 (64 enodes)
60.907 * * [simplify]: iters left: 2 (77 enodes)
60.922 * * [simplify]: iters left: 1 (84 enodes)
60.947 * * [simplify]: Extracting #0: cost 1 inf + 0
60.947 * * [simplify]: Extracting #1: cost 11 inf + 0
60.947 * * [simplify]: Extracting #2: cost 26 inf + 82
60.947 * * [simplify]: Extracting #3: cost 24 inf + 692
60.948 * * [simplify]: Extracting #4: cost 3 inf + 3057
60.949 * * [simplify]: Extracting #5: cost 0 inf + 3504
60.950 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
60.951 * [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))))
60.951 * * * * [progress]: [ 176 / 228 ] 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))))>
60.951 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
60.951 * * [simplify]: iters left: 6 (7 enodes)
60.957 * * [simplify]: iters left: 5 (31 enodes)
60.966 * * [simplify]: iters left: 4 (51 enodes)
60.976 * * [simplify]: iters left: 3 (64 enodes)
60.990 * * [simplify]: iters left: 2 (77 enodes)
61.012 * * [simplify]: iters left: 1 (84 enodes)
61.035 * * [simplify]: Extracting #0: cost 1 inf + 0
61.035 * * [simplify]: Extracting #1: cost 11 inf + 0
61.035 * * [simplify]: Extracting #2: cost 26 inf + 42
61.036 * * [simplify]: Extracting #3: cost 24 inf + 452
61.036 * * [simplify]: Extracting #4: cost 3 inf + 2337
61.038 * * [simplify]: Extracting #5: cost 0 inf + 2704
61.039 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
61.039 * [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))))
61.039 * * * * [progress]: [ 177 / 228 ] 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))))>
61.040 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
61.040 * * [simplify]: iters left: 6 (6 enodes)
61.044 * * [simplify]: iters left: 5 (29 enodes)
61.050 * * [simplify]: iters left: 4 (44 enodes)
61.058 * * [simplify]: iters left: 3 (50 enodes)
61.066 * * [simplify]: iters left: 2 (57 enodes)
61.075 * * [simplify]: Extracting #0: cost 1 inf + 0
61.075 * * [simplify]: Extracting #1: cost 9 inf + 0
61.075 * * [simplify]: Extracting #2: cost 15 inf + 3
61.075 * * [simplify]: Extracting #3: cost 11 inf + 131
61.075 * * [simplify]: Extracting #4: cost 2 inf + 711
61.076 * * [simplify]: Extracting #5: cost 0 inf + 836
61.077 * [simplify]: Simplified to (- 1/4 (/ k 4))
61.077 * [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))))
61.077 * * * * [progress]: [ 178 / 228 ] 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))))>
61.077 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
61.077 * * [simplify]: iters left: 4 (5 enodes)
61.081 * * [simplify]: iters left: 3 (20 enodes)
61.089 * * [simplify]: iters left: 2 (27 enodes)
61.098 * * [simplify]: iters left: 1 (29 enodes)
61.107 * * [simplify]: Extracting #0: cost 1 inf + 0
61.107 * * [simplify]: Extracting #1: cost 8 inf + 0
61.107 * * [simplify]: Extracting #2: cost 4 inf + 449
61.108 * * [simplify]: Extracting #3: cost 0 inf + 895
61.108 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
61.108 * [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))))
61.108 * * * * [progress]: [ 179 / 228 ] 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))))>
61.109 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
61.109 * * [simplify]: iters left: 4 (5 enodes)
61.117 * * [simplify]: iters left: 3 (20 enodes)
61.125 * * [simplify]: iters left: 2 (27 enodes)
61.134 * * [simplify]: iters left: 1 (29 enodes)
61.144 * * [simplify]: Extracting #0: cost 1 inf + 0
61.144 * * [simplify]: Extracting #1: cost 8 inf + 0
61.144 * * [simplify]: Extracting #2: cost 4 inf + 289
61.145 * * [simplify]: Extracting #3: cost 0 inf + 575
61.145 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
61.145 * [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 k) (sqrt 2))) (/ 1/2 (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
61.145 * * * * [progress]: [ 180 / 228 ] 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))))>
61.146 * [simplify]: Simplifying (/ (/ 1 2) 2)
61.146 * * [simplify]: iters left: 4 (4 enodes)
61.151 * * [simplify]: iters left: 3 (19 enodes)
61.157 * * [simplify]: iters left: 2 (23 enodes)
61.165 * * [simplify]: Extracting #0: cost 1 inf + 0
61.165 * * [simplify]: Extracting #1: cost 0 inf + 1
61.165 * [simplify]: Simplified to 1/4
61.165 * [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))))
61.165 * * * * [progress]: [ 181 / 228 ] 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))))>
61.165 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
61.165 * * [simplify]: iters left: 6 (6 enodes)
61.170 * * [simplify]: iters left: 5 (29 enodes)
61.181 * * [simplify]: iters left: 4 (44 enodes)
61.195 * * [simplify]: iters left: 3 (50 enodes)
61.211 * * [simplify]: iters left: 2 (57 enodes)
61.228 * * [simplify]: Extracting #0: cost 1 inf + 0
61.228 * * [simplify]: Extracting #1: cost 9 inf + 0
61.228 * * [simplify]: Extracting #2: cost 15 inf + 3
61.228 * * [simplify]: Extracting #3: cost 11 inf + 131
61.229 * * [simplify]: Extracting #4: cost 2 inf + 711
61.229 * * [simplify]: Extracting #5: cost 0 inf + 836
61.230 * [simplify]: Simplified to (- 1/4 (/ k 4))
61.230 * [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))))
61.230 * * * * [progress]: [ 182 / 228 ] 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))))>
61.230 * [simplify]: Simplifying (/ 1 2)
61.230 * * [simplify]: iters left: 2 (3 enodes)
61.233 * * [simplify]: iters left: 1 (12 enodes)
61.238 * * [simplify]: Extracting #0: cost 1 inf + 0
61.238 * * [simplify]: Extracting #1: cost 0 inf + 1
61.238 * [simplify]: Simplified to 1/2
61.238 * [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))))
61.238 * * * * [progress]: [ 183 / 228 ] 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))))>
61.239 * [simplify]: Simplifying (pow (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2))
61.239 * * [simplify]: iters left: 6 (13 enodes)
61.247 * * [simplify]: iters left: 5 (57 enodes)
61.258 * * [simplify]: iters left: 4 (93 enodes)
61.278 * * [simplify]: iters left: 3 (146 enodes)
61.322 * * [simplify]: iters left: 2 (263 enodes)
61.713 * * [simplify]: iters left: 1 (464 enodes)
61.926 * * [simplify]: Extracting #0: cost 1 inf + 0
61.926 * * [simplify]: Extracting #1: cost 24 inf + 0
61.926 * * [simplify]: Extracting #2: cost 96 inf + 1
61.927 * * [simplify]: Extracting #3: cost 169 inf + 9
61.927 * * [simplify]: Extracting #4: cost 184 inf + 18
61.929 * * [simplify]: Extracting #5: cost 139 inf + 6079
61.935 * * [simplify]: Extracting #6: cost 47 inf + 33262
61.947 * * [simplify]: Extracting #7: cost 8 inf + 58039
61.972 * * [simplify]: Extracting #8: cost 0 inf + 65152
61.997 * [simplify]: Simplified to (pow (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (/ (- 1 k) 4))
61.997 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (* (pow (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (/ (- 1 k) 4)) (pow (cbrt (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
61.997 * * * * [progress]: [ 184 / 228 ] 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))))>
61.997 * * * * [progress]: [ 185 / 228 ] 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))))>
61.997 * * * * [progress]: [ 186 / 228 ] 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))))>
61.997 * * * * [progress]: [ 187 / 228 ] 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))))>
61.997 * * * * [progress]: [ 188 / 228 ] 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))))>
61.998 * * * * [progress]: [ 189 / 228 ] 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))))>
61.998 * * * * [progress]: [ 190 / 228 ] 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))))>
61.998 * * * * [progress]: [ 191 / 228 ] 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))))>
61.998 * * * * [progress]: [ 192 / 228 ] 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))))>
61.998 * * * * [progress]: [ 193 / 228 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (log1p (expm1 (cbrt (* n (* 2 PI)))))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
61.998 * * * * [progress]: [ 194 / 228 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (expm1 (log1p (cbrt (* n (* 2 PI)))))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
61.998 * * * * [progress]: [ 195 / 228 ] 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))))>
61.998 * * * * [progress]: [ 196 / 228 ] 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))))>
61.998 * * * * [progress]: [ 197 / 228 ] 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))))>
61.998 * * * * [progress]: [ 198 / 228 ] 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))))>
61.998 * * * * [progress]: [ 199 / 228 ] 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))))>
61.999 * [simplify]: Simplifying (cbrt n)
61.999 * * [simplify]: iters left: 1 (2 enodes)
62.000 * * [simplify]: Extracting #0: cost 1 inf + 0
62.000 * * [simplify]: Extracting #1: cost 3 inf + 0
62.000 * * [simplify]: Extracting #2: cost 2 inf + 1
62.000 * * [simplify]: Extracting #3: cost 0 inf + 163
62.000 * [simplify]: Simplified to (cbrt n)
62.000 * [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))))
62.000 * * * * [progress]: [ 200 / 228 ] 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))))>
62.000 * * * * [progress]: [ 201 / 228 ] 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))))>
62.000 * * * * [progress]: [ 202 / 228 ] 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))))>
62.000 * * * * [progress]: [ 203 / 228 ] 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))))>
62.001 * * * * [progress]: [ 204 / 228 ] 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))))>
62.001 * * * * [progress]: [ 205 / 228 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (log1p (expm1 (cbrt (* n (* 2 PI)))))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.001 * * * * [progress]: [ 206 / 228 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (expm1 (log1p (cbrt (* n (* 2 PI)))))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.001 * * * * [progress]: [ 207 / 228 ] 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))))>
62.001 * * * * [progress]: [ 208 / 228 ] 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))))>
62.001 * * * * [progress]: [ 209 / 228 ] 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))))>
62.001 * * * * [progress]: [ 210 / 228 ] 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))))>
62.001 * * * * [progress]: [ 211 / 228 ] 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))))>
62.001 * [simplify]: Simplifying (cbrt n)
62.001 * * [simplify]: iters left: 1 (2 enodes)
62.002 * * [simplify]: Extracting #0: cost 1 inf + 0
62.002 * * [simplify]: Extracting #1: cost 3 inf + 0
62.002 * * [simplify]: Extracting #2: cost 2 inf + 1
62.002 * * [simplify]: Extracting #3: cost 0 inf + 163
62.002 * [simplify]: Simplified to (cbrt n)
62.003 * [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))))
62.003 * * * * [progress]: [ 212 / 228 ] 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))))>
62.003 * * * * [progress]: [ 213 / 228 ] 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))))>
62.003 * * * * [progress]: [ 214 / 228 ] 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))))>
62.003 * * * * [progress]: [ 215 / 228 ] 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))))>
62.003 * * * * [progress]: [ 216 / 228 ] 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))))>
62.003 * * * * [progress]: [ 217 / 228 ] 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))))>
62.003 * [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)))))))
62.004 * * [simplify]: iters left: 6 (37 enodes)
62.019 * * [simplify]: iters left: 5 (193 enodes)
62.087 * * [simplify]: Extracting #0: cost 1 inf + 0
62.087 * * [simplify]: Extracting #1: cost 22 inf + 0
62.088 * * [simplify]: Extracting #2: cost 104 inf + 1
62.089 * * [simplify]: Extracting #3: cost 170 inf + 88
62.090 * * [simplify]: Extracting #4: cost 195 inf + 509
62.095 * * [simplify]: Extracting #5: cost 136 inf + 15293
62.109 * * [simplify]: Extracting #6: cost 47 inf + 48666
62.138 * * [simplify]: Extracting #7: cost 3 inf + 79281
62.176 * * [simplify]: Extracting #8: cost 0 inf + 80934
62.209 * * [simplify]: Extracting #9: cost 0 inf + 80864
62.236 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))))))
62.236 * [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) (/ (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) (sqrt k))))
62.236 * * * * [progress]: [ 218 / 228 ] 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))))>
62.236 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
62.236 * * [simplify]: iters left: 6 (15 enodes)
62.242 * * [simplify]: iters left: 5 (65 enodes)
62.255 * * [simplify]: iters left: 4 (123 enodes)
62.307 * * [simplify]: iters left: 3 (366 enodes)
62.540 * * [simplify]: Extracting #0: cost 1 inf + 0
62.540 * * [simplify]: Extracting #1: cost 37 inf + 0
62.540 * * [simplify]: Extracting #2: cost 212 inf + 143
62.542 * * [simplify]: Extracting #3: cost 347 inf + 1812
62.547 * * [simplify]: Extracting #4: cost 207 inf + 31167
62.564 * * [simplify]: Extracting #5: cost 25 inf + 82567
62.581 * * [simplify]: Extracting #6: cost 0 inf + 89048
62.609 * * [simplify]: Extracting #7: cost 0 inf + 88844
62.628 * * [simplify]: Extracting #8: cost 0 inf + 88842
62.653 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))
62.653 * [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 n)))) (sqrt k))))
62.653 * * * * [progress]: [ 219 / 228 ] 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))))>
62.654 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
62.654 * * [simplify]: iters left: 6 (16 enodes)
62.664 * * [simplify]: iters left: 5 (67 enodes)
62.681 * * [simplify]: iters left: 4 (134 enodes)
62.725 * * [simplify]: iters left: 3 (412 enodes)
62.956 * * [simplify]: Extracting #0: cost 1 inf + 0
62.956 * * [simplify]: Extracting #1: cost 39 inf + 0
62.957 * * [simplify]: Extracting #2: cost 241 inf + 72
62.960 * * [simplify]: Extracting #3: cost 448 inf + 1069
62.971 * * [simplify]: Extracting #4: cost 308 inf + 32324
62.990 * * [simplify]: Extracting #5: cost 42 inf + 110073
63.030 * * [simplify]: Extracting #6: cost 0 inf + 122155
63.073 * * [simplify]: Extracting #7: cost 0 inf + 121985
63.113 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
63.113 * [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))))
63.113 * * * * [progress]: [ 220 / 228 ] 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))))>
63.113 * [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)))))))
63.113 * * [simplify]: iters left: 6 (37 enodes)
63.126 * * [simplify]: iters left: 5 (193 enodes)
63.203 * * [simplify]: Extracting #0: cost 1 inf + 0
63.203 * * [simplify]: Extracting #1: cost 22 inf + 0
63.203 * * [simplify]: Extracting #2: cost 104 inf + 1
63.204 * * [simplify]: Extracting #3: cost 170 inf + 88
63.206 * * [simplify]: Extracting #4: cost 195 inf + 509
63.210 * * [simplify]: Extracting #5: cost 136 inf + 15293
63.218 * * [simplify]: Extracting #6: cost 47 inf + 48666
63.233 * * [simplify]: Extracting #7: cost 3 inf + 79281
63.256 * * [simplify]: Extracting #8: cost 0 inf + 80934
63.275 * * [simplify]: Extracting #9: cost 0 inf + 80864
63.292 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))))))
63.292 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.293 * * * * [progress]: [ 221 / 228 ] 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))))>
63.293 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
63.293 * * [simplify]: iters left: 6 (15 enodes)
63.299 * * [simplify]: iters left: 5 (65 enodes)
63.312 * * [simplify]: iters left: 4 (123 enodes)
63.353 * * [simplify]: iters left: 3 (366 enodes)
63.549 * * [simplify]: Extracting #0: cost 1 inf + 0
63.549 * * [simplify]: Extracting #1: cost 37 inf + 0
63.550 * * [simplify]: Extracting #2: cost 212 inf + 143
63.553 * * [simplify]: Extracting #3: cost 347 inf + 1812
63.567 * * [simplify]: Extracting #4: cost 207 inf + 31167
63.586 * * [simplify]: Extracting #5: cost 25 inf + 82567
63.603 * * [simplify]: Extracting #6: cost 0 inf + 89048
63.619 * * [simplify]: Extracting #7: cost 0 inf + 88844
63.639 * * [simplify]: Extracting #8: cost 0 inf + 88842
63.673 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))
63.673 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.673 * * * * [progress]: [ 222 / 228 ] 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))))>
63.673 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
63.674 * * [simplify]: iters left: 6 (16 enodes)
63.684 * * [simplify]: iters left: 5 (67 enodes)
63.704 * * [simplify]: iters left: 4 (134 enodes)
63.747 * * [simplify]: iters left: 3 (412 enodes)
63.943 * * [simplify]: Extracting #0: cost 1 inf + 0
63.944 * * [simplify]: Extracting #1: cost 39 inf + 0
63.944 * * [simplify]: Extracting #2: cost 241 inf + 72
63.946 * * [simplify]: Extracting #3: cost 448 inf + 1069
63.951 * * [simplify]: Extracting #4: cost 308 inf + 32324
63.976 * * [simplify]: Extracting #5: cost 42 inf + 110073
64.018 * * [simplify]: Extracting #6: cost 0 inf + 122155
64.045 * * [simplify]: Extracting #7: cost 0 inf + 121985
64.087 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
64.087 * [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))))
64.088 * * * * [progress]: [ 223 / 228 ] 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))))>
64.088 * [simplify]: Simplifying (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
64.088 * * [simplify]: iters left: 6 (11 enodes)
64.092 * * [simplify]: iters left: 5 (44 enodes)
64.100 * * [simplify]: iters left: 4 (69 enodes)
64.112 * * [simplify]: iters left: 3 (112 enodes)
64.150 * * [simplify]: iters left: 2 (174 enodes)
64.210 * * [simplify]: iters left: 1 (382 enodes)
64.357 * * [simplify]: Extracting #0: cost 1 inf + 0
64.357 * * [simplify]: Extracting #1: cost 71 inf + 0
64.358 * * [simplify]: Extracting #2: cost 284 inf + 0
64.359 * * [simplify]: Extracting #3: cost 296 inf + 4484
64.364 * * [simplify]: Extracting #4: cost 159 inf + 55824
64.383 * * [simplify]: Extracting #5: cost 22 inf + 148139
64.417 * * [simplify]: Extracting #6: cost 0 inf + 166680
64.453 * [simplify]: Simplified to (* (cbrt 2) (cbrt (* PI n)))
64.453 * [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))))
64.453 * * * * [progress]: [ 224 / 228 ] 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))))>
64.454 * [simplify]: Simplifying (* (exp (* 1/3 (- (log PI) (log (/ 1 n))))) (cbrt 2))
64.454 * * [simplify]: iters left: 6 (13 enodes)
64.463 * * [simplify]: iters left: 5 (51 enodes)
64.479 * * [simplify]: iters left: 4 (69 enodes)
64.492 * * [simplify]: iters left: 3 (118 enodes)
64.523 * * [simplify]: iters left: 2 (210 enodes)
64.595 * * [simplify]: iters left: 1 (397 enodes)
64.736 * * [simplify]: Extracting #0: cost 1 inf + 0
64.736 * * [simplify]: Extracting #1: cost 62 inf + 0
64.737 * * [simplify]: Extracting #2: cost 215 inf + 0
64.738 * * [simplify]: Extracting #3: cost 245 inf + 3259
64.741 * * [simplify]: Extracting #4: cost 145 inf + 34033
64.750 * * [simplify]: Extracting #5: cost 50 inf + 81843
64.779 * * [simplify]: Extracting #6: cost 3 inf + 126724
64.804 * * [simplify]: Extracting #7: cost 0 inf + 124561
64.821 * * [simplify]: Extracting #8: cost 0 inf + 124401
64.836 * [simplify]: Simplified to (* (cbrt 2) (cbrt (* PI n)))
64.836 * [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))))
64.836 * * * * [progress]: [ 225 / 228 ] 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))))>
64.836 * [simplify]: Simplifying (* (cbrt -2) (exp (* 1/3 (- (log PI) (log (/ -1 n))))))
64.836 * * [simplify]: iters left: 6 (13 enodes)
64.841 * * [simplify]: iters left: 5 (48 enodes)
64.857 * * [simplify]: iters left: 4 (73 enodes)
64.883 * * [simplify]: iters left: 3 (138 enodes)
64.912 * * [simplify]: iters left: 2 (273 enodes)
64.987 * * [simplify]: Extracting #0: cost 1 inf + 0
64.987 * * [simplify]: Extracting #1: cost 28 inf + 0
64.988 * * [simplify]: Extracting #2: cost 100 inf + 0
64.989 * * [simplify]: Extracting #3: cost 157 inf + 322
64.990 * * [simplify]: Extracting #4: cost 155 inf + 3370
64.993 * * [simplify]: Extracting #5: cost 99 inf + 13524
64.997 * * [simplify]: Extracting #6: cost 38 inf + 29466
65.004 * * [simplify]: Extracting #7: cost 9 inf + 43285
65.013 * * [simplify]: Extracting #8: cost 0 inf + 50933
65.020 * [simplify]: Simplified to (* (cbrt (* (* -1 n) PI)) (cbrt -2))
65.020 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (* (cbrt (* (* -1 n) PI)) (cbrt -2))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.020 * * * * [progress]: [ 226 / 228 ] 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))))>
65.021 * [simplify]: Simplifying (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
65.021 * * [simplify]: iters left: 6 (11 enodes)
65.025 * * [simplify]: iters left: 5 (44 enodes)
65.040 * * [simplify]: iters left: 4 (69 enodes)
65.052 * * [simplify]: iters left: 3 (112 enodes)
65.070 * * [simplify]: iters left: 2 (174 enodes)
65.107 * * [simplify]: iters left: 1 (382 enodes)
65.256 * * [simplify]: Extracting #0: cost 1 inf + 0
65.256 * * [simplify]: Extracting #1: cost 71 inf + 0
65.258 * * [simplify]: Extracting #2: cost 284 inf + 0
65.261 * * [simplify]: Extracting #3: cost 296 inf + 4484
65.267 * * [simplify]: Extracting #4: cost 159 inf + 55824
65.282 * * [simplify]: Extracting #5: cost 22 inf + 148139
65.310 * * [simplify]: Extracting #6: cost 0 inf + 166680
65.345 * [simplify]: Simplified to (* (cbrt 2) (cbrt (* PI n)))
65.345 * [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))))
65.345 * * * * [progress]: [ 227 / 228 ] 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))))>
65.346 * [simplify]: Simplifying (* (exp (* 1/3 (- (log PI) (log (/ 1 n))))) (cbrt 2))
65.346 * * [simplify]: iters left: 6 (13 enodes)
65.355 * * [simplify]: iters left: 5 (51 enodes)
65.372 * * [simplify]: iters left: 4 (69 enodes)
65.388 * * [simplify]: iters left: 3 (118 enodes)
65.412 * * [simplify]: iters left: 2 (210 enodes)
65.462 * * [simplify]: iters left: 1 (397 enodes)
65.605 * * [simplify]: Extracting #0: cost 1 inf + 0
65.606 * * [simplify]: Extracting #1: cost 62 inf + 0
65.606 * * [simplify]: Extracting #2: cost 215 inf + 0
65.607 * * [simplify]: Extracting #3: cost 245 inf + 3259
65.617 * * [simplify]: Extracting #4: cost 145 inf + 34033
65.626 * * [simplify]: Extracting #5: cost 50 inf + 81843
65.641 * * [simplify]: Extracting #6: cost 3 inf + 126724
65.656 * * [simplify]: Extracting #7: cost 0 inf + 124561
65.673 * * [simplify]: Extracting #8: cost 0 inf + 124401
65.701 * [simplify]: Simplified to (* (cbrt 2) (cbrt (* PI n)))
65.701 * [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))))
65.701 * * * * [progress]: [ 228 / 228 ] 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))))>
65.702 * [simplify]: Simplifying (* (cbrt -2) (exp (* 1/3 (- (log PI) (log (/ -1 n))))))
65.702 * * [simplify]: iters left: 6 (13 enodes)
65.707 * * [simplify]: iters left: 5 (48 enodes)
65.718 * * [simplify]: iters left: 4 (73 enodes)
65.733 * * [simplify]: iters left: 3 (138 enodes)
65.772 * * [simplify]: iters left: 2 (273 enodes)
65.831 * * [simplify]: Extracting #0: cost 1 inf + 0
65.831 * * [simplify]: Extracting #1: cost 28 inf + 0
65.831 * * [simplify]: Extracting #2: cost 100 inf + 0
65.832 * * [simplify]: Extracting #3: cost 157 inf + 322
65.833 * * [simplify]: Extracting #4: cost 155 inf + 3370
65.835 * * [simplify]: Extracting #5: cost 99 inf + 13524
65.839 * * [simplify]: Extracting #6: cost 38 inf + 29466
65.845 * * [simplify]: Extracting #7: cost 9 inf + 43285
65.857 * * [simplify]: Extracting #8: cost 0 inf + 50933
65.871 * [simplify]: Simplified to (* (cbrt (* (* -1 n) PI)) (cbrt -2))
65.871 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (* (cbrt (* (* -1 n) PI)) (cbrt -2))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.871 * * * [progress]: adding candidates to table
69.722 * * [progress]: iteration 4 / 4
69.722 * * * [progress]: picking best candidate
69.774 * * * * [pick]: Picked  #<alt (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))))>
69.775 * * * [progress]: localizing error
69.858 * * * [progress]: generating rewritten candidates
69.858 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
69.884 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
69.905 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1)
69.908 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1 1 2)
69.915 * * * [progress]: generating series expansions
69.915 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
69.916 * [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))
69.916 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (pow (pow (- 1 k) 2) 1/3)) in (n k) around 0
69.916 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (pow (pow (- 1 k) 2) 1/3)) in k
69.916 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 k) 2) 1/3) (log (* 2 (* n PI))))) in k
69.916 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 k) 2) 1/3) (log (* 2 (* n PI)))) in k
69.916 * [taylor]: Taking taylor expansion of (pow (pow (- 1 k) 2) 1/3) in k
69.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 k) 2)))) in k
69.916 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 k) 2))) in k
69.916 * [taylor]: Taking taylor expansion of 1/3 in k
69.916 * [backup-simplify]: Simplify 1/3 into 1/3
69.916 * [taylor]: Taking taylor expansion of (log (pow (- 1 k) 2)) in k
69.916 * [taylor]: Taking taylor expansion of (pow (- 1 k) 2) in k
69.916 * [taylor]: Taking taylor expansion of (- 1 k) in k
69.916 * [taylor]: Taking taylor expansion of 1 in k
69.916 * [backup-simplify]: Simplify 1 into 1
69.916 * [taylor]: Taking taylor expansion of k in k
69.916 * [backup-simplify]: Simplify 0 into 0
69.916 * [backup-simplify]: Simplify 1 into 1
69.917 * [backup-simplify]: Simplify (- 0) into 0
69.917 * [backup-simplify]: Simplify (+ 1 0) into 1
69.917 * [backup-simplify]: Simplify (* 1 1) into 1
69.917 * [backup-simplify]: Simplify (log 1) into 0
69.918 * [backup-simplify]: Simplify (* 1/3 0) into 0
69.918 * [backup-simplify]: Simplify (- 1) into -1
69.918 * [backup-simplify]: Simplify (+ 0 -1) into -1
69.918 * [backup-simplify]: Simplify (+ (* 1 -1) (* -1 1)) into -2
69.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2
69.920 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3
69.920 * [backup-simplify]: Simplify (exp 0) into 1
69.920 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
69.920 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
69.920 * [taylor]: Taking taylor expansion of 2 in k
69.920 * [backup-simplify]: Simplify 2 into 2
69.920 * [taylor]: Taking taylor expansion of (* n PI) in k
69.920 * [taylor]: Taking taylor expansion of n in k
69.920 * [backup-simplify]: Simplify n into n
69.920 * [taylor]: Taking taylor expansion of PI in k
69.920 * [backup-simplify]: Simplify PI into PI
69.920 * [backup-simplify]: Simplify (* n PI) into (* n PI)
69.920 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
69.920 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
69.920 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI)))
69.920 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI))
69.920 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (pow (pow (- 1 k) 2) 1/3)) in n
69.920 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 k) 2) 1/3) (log (* 2 (* n PI))))) in n
69.920 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 k) 2) 1/3) (log (* 2 (* n PI)))) in n
69.920 * [taylor]: Taking taylor expansion of (pow (pow (- 1 k) 2) 1/3) in n
69.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 k) 2)))) in n
69.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 k) 2))) in n
69.920 * [taylor]: Taking taylor expansion of 1/3 in n
69.920 * [backup-simplify]: Simplify 1/3 into 1/3
69.920 * [taylor]: Taking taylor expansion of (log (pow (- 1 k) 2)) in n
69.920 * [taylor]: Taking taylor expansion of (pow (- 1 k) 2) in n
69.920 * [taylor]: Taking taylor expansion of (- 1 k) in n
69.920 * [taylor]: Taking taylor expansion of 1 in n
69.920 * [backup-simplify]: Simplify 1 into 1
69.920 * [taylor]: Taking taylor expansion of k in n
69.920 * [backup-simplify]: Simplify k into k
69.920 * [backup-simplify]: Simplify (- k) into (- k)
69.920 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
69.920 * [backup-simplify]: Simplify (* (- 1 k) (- 1 k)) into (pow (- 1 k) 2)
69.921 * [backup-simplify]: Simplify (log (pow (- 1 k) 2)) into (log (pow (- 1 k) 2))
69.921 * [backup-simplify]: Simplify (* 1/3 (log (pow (- 1 k) 2))) into (* 1/3 (log (pow (- 1 k) 2)))
69.921 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- 1 k) 2)))) into (pow (pow (- 1 k) 2) 1/3)
69.921 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
69.921 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
69.921 * [taylor]: Taking taylor expansion of 2 in n
69.921 * [backup-simplify]: Simplify 2 into 2
69.921 * [taylor]: Taking taylor expansion of (* n PI) in n
69.921 * [taylor]: Taking taylor expansion of n in n
69.921 * [backup-simplify]: Simplify 0 into 0
69.921 * [backup-simplify]: Simplify 1 into 1
69.921 * [taylor]: Taking taylor expansion of PI in n
69.921 * [backup-simplify]: Simplify PI into PI
69.921 * [backup-simplify]: Simplify (* 0 PI) into 0
69.921 * [backup-simplify]: Simplify (* 2 0) into 0
69.922 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
69.923 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
69.924 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
69.925 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
69.926 * [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))))
69.926 * [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)))))
69.926 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (pow (pow (- 1 k) 2) 1/3)) in n
69.926 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 k) 2) 1/3) (log (* 2 (* n PI))))) in n
69.926 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 k) 2) 1/3) (log (* 2 (* n PI)))) in n
69.926 * [taylor]: Taking taylor expansion of (pow (pow (- 1 k) 2) 1/3) in n
69.926 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 k) 2)))) in n
69.926 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 k) 2))) in n
69.926 * [taylor]: Taking taylor expansion of 1/3 in n
69.927 * [backup-simplify]: Simplify 1/3 into 1/3
69.927 * [taylor]: Taking taylor expansion of (log (pow (- 1 k) 2)) in n
69.927 * [taylor]: Taking taylor expansion of (pow (- 1 k) 2) in n
69.927 * [taylor]: Taking taylor expansion of (- 1 k) in n
69.927 * [taylor]: Taking taylor expansion of 1 in n
69.927 * [backup-simplify]: Simplify 1 into 1
69.927 * [taylor]: Taking taylor expansion of k in n
69.927 * [backup-simplify]: Simplify k into k
69.927 * [backup-simplify]: Simplify (- k) into (- k)
69.927 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
69.927 * [backup-simplify]: Simplify (* (- 1 k) (- 1 k)) into (pow (- 1 k) 2)
69.927 * [backup-simplify]: Simplify (log (pow (- 1 k) 2)) into (log (pow (- 1 k) 2))
69.927 * [backup-simplify]: Simplify (* 1/3 (log (pow (- 1 k) 2))) into (* 1/3 (log (pow (- 1 k) 2)))
69.927 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- 1 k) 2)))) into (pow (pow (- 1 k) 2) 1/3)
69.927 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
69.927 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
69.927 * [taylor]: Taking taylor expansion of 2 in n
69.927 * [backup-simplify]: Simplify 2 into 2
69.927 * [taylor]: Taking taylor expansion of (* n PI) in n
69.927 * [taylor]: Taking taylor expansion of n in n
69.927 * [backup-simplify]: Simplify 0 into 0
69.927 * [backup-simplify]: Simplify 1 into 1
69.927 * [taylor]: Taking taylor expansion of PI in n
69.927 * [backup-simplify]: Simplify PI into PI
69.927 * [backup-simplify]: Simplify (* 0 PI) into 0
69.928 * [backup-simplify]: Simplify (* 2 0) into 0
69.929 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
69.929 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
69.930 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
69.931 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
69.932 * [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))))
69.932 * [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)))))
69.932 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI))))) in k
69.933 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI)))) in k
69.933 * [taylor]: Taking taylor expansion of (pow (pow (- 1 k) 2) 1/3) in k
69.933 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 k) 2)))) in k
69.933 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 k) 2))) in k
69.933 * [taylor]: Taking taylor expansion of 1/3 in k
69.933 * [backup-simplify]: Simplify 1/3 into 1/3
69.933 * [taylor]: Taking taylor expansion of (log (pow (- 1 k) 2)) in k
69.933 * [taylor]: Taking taylor expansion of (pow (- 1 k) 2) in k
69.933 * [taylor]: Taking taylor expansion of (- 1 k) in k
69.933 * [taylor]: Taking taylor expansion of 1 in k
69.933 * [backup-simplify]: Simplify 1 into 1
69.933 * [taylor]: Taking taylor expansion of k in k
69.933 * [backup-simplify]: Simplify 0 into 0
69.933 * [backup-simplify]: Simplify 1 into 1
69.933 * [backup-simplify]: Simplify (- 0) into 0
69.933 * [backup-simplify]: Simplify (+ 1 0) into 1
69.933 * [backup-simplify]: Simplify (* 1 1) into 1
69.934 * [backup-simplify]: Simplify (log 1) into 0
69.934 * [backup-simplify]: Simplify (* 1/3 0) into 0
69.934 * [backup-simplify]: Simplify (- 1) into -1
69.934 * [backup-simplify]: Simplify (+ 0 -1) into -1
69.935 * [backup-simplify]: Simplify (+ (* 1 -1) (* -1 1)) into -2
69.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2
69.936 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3
69.936 * [backup-simplify]: Simplify (exp 0) into 1
69.936 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
69.936 * [taylor]: Taking taylor expansion of (log n) in k
69.936 * [taylor]: Taking taylor expansion of n in k
69.936 * [backup-simplify]: Simplify n into n
69.936 * [backup-simplify]: Simplify (log n) into (log n)
69.936 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
69.936 * [taylor]: Taking taylor expansion of (* 2 PI) in k
69.936 * [taylor]: Taking taylor expansion of 2 in k
69.936 * [backup-simplify]: Simplify 2 into 2
69.936 * [taylor]: Taking taylor expansion of PI in k
69.936 * [backup-simplify]: Simplify PI into PI
69.937 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
69.937 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
69.938 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
69.938 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
69.939 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI))))
69.940 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI))))
69.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
69.941 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
69.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
69.942 * [backup-simplify]: Simplify (- 0) into 0
69.942 * [backup-simplify]: Simplify (+ 0 0) into 0
69.943 * [backup-simplify]: Simplify (+ (* (- 1 k) 0) (* 0 (- 1 k))) into 0
69.943 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (- 1 k) 2) 1)))) 1) into 0
69.943 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow (- 1 k) 2)))) into 0
69.944 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- 1 k) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
69.945 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
69.945 * [backup-simplify]: Simplify (+ (* (pow (pow (- 1 k) 2) 1/3) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
69.947 * [backup-simplify]: Simplify (* (exp (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
69.947 * [taylor]: Taking taylor expansion of 0 in k
69.947 * [backup-simplify]: Simplify 0 into 0
69.947 * [backup-simplify]: Simplify 0 into 0
69.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
69.948 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
69.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
69.949 * [backup-simplify]: Simplify (+ 0 0) into 0
69.949 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -2/3 1) 1)))) into -2/3
69.950 * [backup-simplify]: Simplify (+ (* 1 0) (* -2/3 (+ (log n) (log (* 2 PI))))) into (- (+ (* 2/3 (log (* 2 PI))) (* 2/3 (log n))))
69.952 * [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))))))
69.954 * [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))))))
69.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
69.955 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
69.957 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
69.958 * [backup-simplify]: Simplify (- 0) into 0
69.958 * [backup-simplify]: Simplify (+ 0 0) into 0
69.958 * [backup-simplify]: Simplify (+ (* (- 1 k) 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
69.959 * [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
69.960 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (- 1 k) 2))))) into 0
69.961 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- 1 k) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
69.962 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
69.963 * [backup-simplify]: Simplify (+ (* (pow (pow (- 1 k) 2) 1/3) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
69.964 * [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
69.964 * [taylor]: Taking taylor expansion of 0 in k
69.964 * [backup-simplify]: Simplify 0 into 0
69.964 * [backup-simplify]: Simplify 0 into 0
69.964 * [backup-simplify]: Simplify 0 into 0
69.965 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
69.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
69.968 * [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
69.968 * [backup-simplify]: Simplify (+ 0 0) into 0
69.969 * [backup-simplify]: Simplify (- 0) into 0
69.969 * [backup-simplify]: Simplify (+ 0 0) into 0
69.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 -1) (* 0 1))) into 1
69.973 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1
69.975 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 0))) into -1/3
69.977 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/9
69.979 * [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)))))
69.983 * [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)))))
69.997 * [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)))))
70.007 * [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)))))))))
70.008 * [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))
70.008 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (pow (pow (- 1 (/ 1 k)) 2) 1/3)) in (n k) around 0
70.009 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (pow (pow (- 1 (/ 1 k)) 2) 1/3)) in k
70.009 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (log (* 2 (/ PI n))))) in k
70.009 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (log (* 2 (/ PI n)))) in k
70.009 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 k)) 2) 1/3) in k
70.009 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) in k
70.009 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 k)) 2))) in k
70.009 * [taylor]: Taking taylor expansion of 1/3 in k
70.009 * [backup-simplify]: Simplify 1/3 into 1/3
70.009 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 k)) 2)) in k
70.009 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 2) in k
70.009 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
70.009 * [taylor]: Taking taylor expansion of 1 in k
70.009 * [backup-simplify]: Simplify 1 into 1
70.009 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.009 * [taylor]: Taking taylor expansion of k in k
70.009 * [backup-simplify]: Simplify 0 into 0
70.009 * [backup-simplify]: Simplify 1 into 1
70.009 * [backup-simplify]: Simplify (/ 1 1) into 1
70.010 * [backup-simplify]: Simplify (- 1) into -1
70.010 * [backup-simplify]: Simplify (+ 0 -1) into -1
70.011 * [backup-simplify]: Simplify (* -1 -1) into 1
70.011 * [backup-simplify]: Simplify (log 1) into 0
70.012 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
70.012 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log k)))) into (* -2/3 (log k))
70.012 * [backup-simplify]: Simplify (exp (* -2/3 (log k))) into (pow k -2/3)
70.012 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
70.012 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
70.012 * [taylor]: Taking taylor expansion of 2 in k
70.012 * [backup-simplify]: Simplify 2 into 2
70.012 * [taylor]: Taking taylor expansion of (/ PI n) in k
70.012 * [taylor]: Taking taylor expansion of PI in k
70.012 * [backup-simplify]: Simplify PI into PI
70.012 * [taylor]: Taking taylor expansion of n in k
70.012 * [backup-simplify]: Simplify n into n
70.012 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
70.012 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
70.012 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
70.012 * [backup-simplify]: Simplify (* (pow k -2/3) (log (* 2 (/ PI n)))) into (* (log (* 2 (/ PI n))) (pow (/ 1 (pow k 2)) 1/3))
70.013 * [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)))
70.013 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (pow (pow (- 1 (/ 1 k)) 2) 1/3)) in n
70.013 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (log (* 2 (/ PI n))))) in n
70.013 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (log (* 2 (/ PI n)))) in n
70.013 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 k)) 2) 1/3) in n
70.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) in n
70.013 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 k)) 2))) in n
70.013 * [taylor]: Taking taylor expansion of 1/3 in n
70.013 * [backup-simplify]: Simplify 1/3 into 1/3
70.013 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 k)) 2)) in n
70.013 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 2) in n
70.013 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
70.013 * [taylor]: Taking taylor expansion of 1 in n
70.013 * [backup-simplify]: Simplify 1 into 1
70.013 * [taylor]: Taking taylor expansion of (/ 1 k) in n
70.013 * [taylor]: Taking taylor expansion of k in n
70.013 * [backup-simplify]: Simplify k into k
70.013 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
70.013 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
70.013 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
70.013 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- 1 (/ 1 k))) into (pow (- 1 (/ 1 k)) 2)
70.014 * [backup-simplify]: Simplify (log (pow (- 1 (/ 1 k)) 2)) into (log (pow (- 1 (/ 1 k)) 2))
70.014 * [backup-simplify]: Simplify (* 1/3 (log (pow (- 1 (/ 1 k)) 2))) into (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))
70.014 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) into (pow (pow (- 1 (/ 1 k)) 2) 1/3)
70.014 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
70.014 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
70.014 * [taylor]: Taking taylor expansion of 2 in n
70.014 * [backup-simplify]: Simplify 2 into 2
70.014 * [taylor]: Taking taylor expansion of (/ PI n) in n
70.014 * [taylor]: Taking taylor expansion of PI in n
70.014 * [backup-simplify]: Simplify PI into PI
70.014 * [taylor]: Taking taylor expansion of n in n
70.014 * [backup-simplify]: Simplify 0 into 0
70.014 * [backup-simplify]: Simplify 1 into 1
70.015 * [backup-simplify]: Simplify (/ PI 1) into PI
70.015 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
70.016 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
70.017 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
70.019 * [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)))
70.020 * [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))))
70.020 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (pow (pow (- 1 (/ 1 k)) 2) 1/3)) in n
70.020 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (log (* 2 (/ PI n))))) in n
70.020 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (log (* 2 (/ PI n)))) in n
70.020 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 k)) 2) 1/3) in n
70.020 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) in n
70.020 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 k)) 2))) in n
70.020 * [taylor]: Taking taylor expansion of 1/3 in n
70.020 * [backup-simplify]: Simplify 1/3 into 1/3
70.020 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 k)) 2)) in n
70.020 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 2) in n
70.020 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
70.020 * [taylor]: Taking taylor expansion of 1 in n
70.020 * [backup-simplify]: Simplify 1 into 1
70.020 * [taylor]: Taking taylor expansion of (/ 1 k) in n
70.020 * [taylor]: Taking taylor expansion of k in n
70.020 * [backup-simplify]: Simplify k into k
70.020 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
70.020 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
70.020 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
70.020 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- 1 (/ 1 k))) into (pow (- 1 (/ 1 k)) 2)
70.021 * [backup-simplify]: Simplify (log (pow (- 1 (/ 1 k)) 2)) into (log (pow (- 1 (/ 1 k)) 2))
70.021 * [backup-simplify]: Simplify (* 1/3 (log (pow (- 1 (/ 1 k)) 2))) into (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))
70.021 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) into (pow (pow (- 1 (/ 1 k)) 2) 1/3)
70.021 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
70.021 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
70.021 * [taylor]: Taking taylor expansion of 2 in n
70.021 * [backup-simplify]: Simplify 2 into 2
70.021 * [taylor]: Taking taylor expansion of (/ PI n) in n
70.021 * [taylor]: Taking taylor expansion of PI in n
70.021 * [backup-simplify]: Simplify PI into PI
70.021 * [taylor]: Taking taylor expansion of n in n
70.021 * [backup-simplify]: Simplify 0 into 0
70.021 * [backup-simplify]: Simplify 1 into 1
70.022 * [backup-simplify]: Simplify (/ PI 1) into PI
70.022 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
70.023 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
70.024 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
70.025 * [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)))
70.027 * [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))))
70.027 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n)))) in k
70.027 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n))) in k
70.027 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 k)) 2) 1/3) in k
70.027 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) in k
70.027 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 k)) 2))) in k
70.027 * [taylor]: Taking taylor expansion of 1/3 in k
70.027 * [backup-simplify]: Simplify 1/3 into 1/3
70.027 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 k)) 2)) in k
70.027 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 2) in k
70.027 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
70.027 * [taylor]: Taking taylor expansion of 1 in k
70.027 * [backup-simplify]: Simplify 1 into 1
70.027 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.027 * [taylor]: Taking taylor expansion of k in k
70.027 * [backup-simplify]: Simplify 0 into 0
70.027 * [backup-simplify]: Simplify 1 into 1
70.027 * [backup-simplify]: Simplify (/ 1 1) into 1
70.028 * [backup-simplify]: Simplify (- 1) into -1
70.028 * [backup-simplify]: Simplify (+ 0 -1) into -1
70.029 * [backup-simplify]: Simplify (* -1 -1) into 1
70.029 * [backup-simplify]: Simplify (log 1) into 0
70.030 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
70.030 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log k)))) into (* -2/3 (log k))
70.030 * [backup-simplify]: Simplify (exp (* -2/3 (log k))) into (pow k -2/3)
70.030 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
70.030 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
70.030 * [taylor]: Taking taylor expansion of (* 2 PI) in k
70.030 * [taylor]: Taking taylor expansion of 2 in k
70.030 * [backup-simplify]: Simplify 2 into 2
70.030 * [taylor]: Taking taylor expansion of PI in k
70.030 * [backup-simplify]: Simplify PI into PI
70.030 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
70.031 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
70.031 * [taylor]: Taking taylor expansion of (log n) in k
70.031 * [taylor]: Taking taylor expansion of n in k
70.031 * [backup-simplify]: Simplify n into n
70.032 * [backup-simplify]: Simplify (log n) into (log n)
70.032 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
70.033 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
70.034 * [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))
70.035 * [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)))
70.036 * [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)))
70.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
70.038 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
70.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
70.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
70.040 * [backup-simplify]: Simplify (- 0) into 0
70.040 * [backup-simplify]: Simplify (+ 0 0) into 0
70.041 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- 1 (/ 1 k)))) into 0
70.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (- 1 (/ 1 k)) 2) 1)))) 1) into 0
70.042 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow (- 1 (/ 1 k)) 2)))) into 0
70.043 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
70.044 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
70.046 * [backup-simplify]: Simplify (+ (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
70.048 * [backup-simplify]: Simplify (* (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
70.048 * [taylor]: Taking taylor expansion of 0 in k
70.048 * [backup-simplify]: Simplify 0 into 0
70.048 * [backup-simplify]: Simplify 0 into 0
70.049 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
70.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
70.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
70.052 * [backup-simplify]: Simplify (- 0) into 0
70.052 * [backup-simplify]: Simplify (+ 0 0) into 0
70.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
70.053 * [backup-simplify]: Simplify (- 0) into 0
70.054 * [backup-simplify]: Simplify (+ 1 0) into 1
70.054 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2
70.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2
70.056 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
70.057 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 2 (log k))))) into (- 2/3)
70.058 * [backup-simplify]: Simplify (* (exp (* -2/3 (log k))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow k 2)) 1/3))
70.059 * [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))))
70.062 * [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)))))
70.065 * [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)))))
70.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
70.068 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
70.071 * [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
70.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
70.072 * [backup-simplify]: Simplify (- 0) into 0
70.072 * [backup-simplify]: Simplify (+ 0 0) into 0
70.072 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
70.074 * [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
70.074 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (- 1 (/ 1 k)) 2))))) into 0
70.075 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
70.076 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
70.077 * [backup-simplify]: Simplify (+ (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
70.078 * [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
70.078 * [taylor]: Taking taylor expansion of 0 in k
70.078 * [backup-simplify]: Simplify 0 into 0
70.078 * [backup-simplify]: Simplify 0 into 0
70.078 * [backup-simplify]: Simplify 0 into 0
70.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
70.081 * [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
70.082 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
70.082 * [backup-simplify]: Simplify (- 0) into 0
70.083 * [backup-simplify]: Simplify (+ 0 0) into 0
70.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
70.083 * [backup-simplify]: Simplify (- 0) into 0
70.084 * [backup-simplify]: Simplify (+ 0 0) into 0
70.084 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1
70.086 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1
70.086 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
70.087 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 2 (log k)))))) into (- 1/3)
70.088 * [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))
70.089 * [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))))
70.092 * [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)))))))
70.096 * [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)))))))
70.104 * [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)))))))
70.105 * [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))
70.106 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (pow (pow (+ (/ 1 k) 1) 2) 1/3)) in (n k) around 0
70.106 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (pow (pow (+ (/ 1 k) 1) 2) 1/3)) in k
70.106 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (log (* -2 (/ PI n))))) in k
70.106 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (log (* -2 (/ PI n)))) in k
70.106 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 k) 1) 2) 1/3) in k
70.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) in k
70.106 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 k) 1) 2))) in k
70.106 * [taylor]: Taking taylor expansion of 1/3 in k
70.106 * [backup-simplify]: Simplify 1/3 into 1/3
70.106 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 k) 1) 2)) in k
70.106 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 2) in k
70.106 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
70.106 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.106 * [taylor]: Taking taylor expansion of k in k
70.106 * [backup-simplify]: Simplify 0 into 0
70.106 * [backup-simplify]: Simplify 1 into 1
70.106 * [backup-simplify]: Simplify (/ 1 1) into 1
70.106 * [taylor]: Taking taylor expansion of 1 in k
70.106 * [backup-simplify]: Simplify 1 into 1
70.107 * [backup-simplify]: Simplify (+ 1 0) into 1
70.107 * [backup-simplify]: Simplify (* 1 1) into 1
70.108 * [backup-simplify]: Simplify (log 1) into 0
70.113 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
70.113 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log k)))) into (* -2/3 (log k))
70.114 * [backup-simplify]: Simplify (exp (* -2/3 (log k))) into (pow k -2/3)
70.114 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
70.114 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
70.114 * [taylor]: Taking taylor expansion of -2 in k
70.114 * [backup-simplify]: Simplify -2 into -2
70.114 * [taylor]: Taking taylor expansion of (/ PI n) in k
70.114 * [taylor]: Taking taylor expansion of PI in k
70.114 * [backup-simplify]: Simplify PI into PI
70.114 * [taylor]: Taking taylor expansion of n in k
70.114 * [backup-simplify]: Simplify n into n
70.114 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
70.114 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
70.114 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
70.114 * [backup-simplify]: Simplify (* (pow k -2/3) (log (* -2 (/ PI n)))) into (* (log (* -2 (/ PI n))) (pow (/ 1 (pow k 2)) 1/3))
70.115 * [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)))
70.115 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (pow (pow (+ (/ 1 k) 1) 2) 1/3)) in n
70.115 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (log (* -2 (/ PI n))))) in n
70.115 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (log (* -2 (/ PI n)))) in n
70.115 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 k) 1) 2) 1/3) in n
70.115 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) in n
70.115 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 k) 1) 2))) in n
70.115 * [taylor]: Taking taylor expansion of 1/3 in n
70.115 * [backup-simplify]: Simplify 1/3 into 1/3
70.115 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 k) 1) 2)) in n
70.115 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 2) in n
70.115 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
70.115 * [taylor]: Taking taylor expansion of (/ 1 k) in n
70.115 * [taylor]: Taking taylor expansion of k in n
70.115 * [backup-simplify]: Simplify k into k
70.115 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
70.115 * [taylor]: Taking taylor expansion of 1 in n
70.115 * [backup-simplify]: Simplify 1 into 1
70.115 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
70.115 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (+ (/ 1 k) 1)) into (pow (+ (/ 1 k) 1) 2)
70.115 * [backup-simplify]: Simplify (log (pow (+ (/ 1 k) 1) 2)) into (log (pow (+ (/ 1 k) 1) 2))
70.116 * [backup-simplify]: Simplify (* 1/3 (log (pow (+ (/ 1 k) 1) 2))) into (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))
70.116 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) into (pow (pow (+ (/ 1 k) 1) 2) 1/3)
70.116 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
70.116 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
70.116 * [taylor]: Taking taylor expansion of -2 in n
70.116 * [backup-simplify]: Simplify -2 into -2
70.116 * [taylor]: Taking taylor expansion of (/ PI n) in n
70.116 * [taylor]: Taking taylor expansion of PI in n
70.116 * [backup-simplify]: Simplify PI into PI
70.116 * [taylor]: Taking taylor expansion of n in n
70.116 * [backup-simplify]: Simplify 0 into 0
70.116 * [backup-simplify]: Simplify 1 into 1
70.117 * [backup-simplify]: Simplify (/ PI 1) into PI
70.117 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
70.118 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
70.120 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
70.121 * [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)))
70.122 * [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))))
70.122 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (pow (pow (+ (/ 1 k) 1) 2) 1/3)) in n
70.122 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (log (* -2 (/ PI n))))) in n
70.122 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (log (* -2 (/ PI n)))) in n
70.122 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 k) 1) 2) 1/3) in n
70.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) in n
70.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 k) 1) 2))) in n
70.122 * [taylor]: Taking taylor expansion of 1/3 in n
70.122 * [backup-simplify]: Simplify 1/3 into 1/3
70.122 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 k) 1) 2)) in n
70.122 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 2) in n
70.122 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
70.122 * [taylor]: Taking taylor expansion of (/ 1 k) in n
70.122 * [taylor]: Taking taylor expansion of k in n
70.123 * [backup-simplify]: Simplify k into k
70.123 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
70.123 * [taylor]: Taking taylor expansion of 1 in n
70.123 * [backup-simplify]: Simplify 1 into 1
70.123 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
70.123 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (+ (/ 1 k) 1)) into (pow (+ (/ 1 k) 1) 2)
70.123 * [backup-simplify]: Simplify (log (pow (+ (/ 1 k) 1) 2)) into (log (pow (+ (/ 1 k) 1) 2))
70.123 * [backup-simplify]: Simplify (* 1/3 (log (pow (+ (/ 1 k) 1) 2))) into (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))
70.123 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) into (pow (pow (+ (/ 1 k) 1) 2) 1/3)
70.123 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
70.123 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
70.123 * [taylor]: Taking taylor expansion of -2 in n
70.124 * [backup-simplify]: Simplify -2 into -2
70.124 * [taylor]: Taking taylor expansion of (/ PI n) in n
70.124 * [taylor]: Taking taylor expansion of PI in n
70.124 * [backup-simplify]: Simplify PI into PI
70.124 * [taylor]: Taking taylor expansion of n in n
70.124 * [backup-simplify]: Simplify 0 into 0
70.124 * [backup-simplify]: Simplify 1 into 1
70.124 * [backup-simplify]: Simplify (/ PI 1) into PI
70.125 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
70.126 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
70.127 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
70.128 * [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)))
70.130 * [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))))
70.130 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n)))) in k
70.130 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n))) in k
70.130 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 k) 1) 2) 1/3) in k
70.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) in k
70.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 k) 1) 2))) in k
70.130 * [taylor]: Taking taylor expansion of 1/3 in k
70.130 * [backup-simplify]: Simplify 1/3 into 1/3
70.130 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 k) 1) 2)) in k
70.130 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 2) in k
70.130 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
70.130 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.130 * [taylor]: Taking taylor expansion of k in k
70.130 * [backup-simplify]: Simplify 0 into 0
70.130 * [backup-simplify]: Simplify 1 into 1
70.130 * [backup-simplify]: Simplify (/ 1 1) into 1
70.130 * [taylor]: Taking taylor expansion of 1 in k
70.131 * [backup-simplify]: Simplify 1 into 1
70.131 * [backup-simplify]: Simplify (+ 1 0) into 1
70.131 * [backup-simplify]: Simplify (* 1 1) into 1
70.132 * [backup-simplify]: Simplify (log 1) into 0
70.132 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
70.132 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log k)))) into (* -2/3 (log k))
70.132 * [backup-simplify]: Simplify (exp (* -2/3 (log k))) into (pow k -2/3)
70.132 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
70.132 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
70.132 * [taylor]: Taking taylor expansion of (* -2 PI) in k
70.132 * [taylor]: Taking taylor expansion of -2 in k
70.133 * [backup-simplify]: Simplify -2 into -2
70.133 * [taylor]: Taking taylor expansion of PI in k
70.133 * [backup-simplify]: Simplify PI into PI
70.133 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
70.134 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
70.134 * [taylor]: Taking taylor expansion of (log n) in k
70.134 * [taylor]: Taking taylor expansion of n in k
70.134 * [backup-simplify]: Simplify n into n
70.134 * [backup-simplify]: Simplify (log n) into (log n)
70.134 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
70.135 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
70.136 * [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))
70.138 * [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)))
70.139 * [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)))
70.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
70.141 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
70.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
70.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
70.143 * [backup-simplify]: Simplify (+ 0 0) into 0
70.143 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (+ (/ 1 k) 1))) into 0
70.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (+ (/ 1 k) 1) 2) 1)))) 1) into 0
70.145 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow (+ (/ 1 k) 1) 2)))) into 0
70.146 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
70.147 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
70.148 * [backup-simplify]: Simplify (+ (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
70.150 * [backup-simplify]: Simplify (* (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
70.150 * [taylor]: Taking taylor expansion of 0 in k
70.150 * [backup-simplify]: Simplify 0 into 0
70.150 * [backup-simplify]: Simplify 0 into 0
70.151 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
70.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
70.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
70.154 * [backup-simplify]: Simplify (- 0) into 0
70.154 * [backup-simplify]: Simplify (+ 0 0) into 0
70.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
70.156 * [backup-simplify]: Simplify (+ 0 1) into 1
70.156 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2
70.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2
70.158 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
70.158 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log k))))) into 2/3
70.159 * [backup-simplify]: Simplify (* (exp (* -2/3 (log k))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow k 2)) 1/3))
70.161 * [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))))
70.163 * [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))))
70.166 * [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))))
70.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
70.168 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
70.171 * [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
70.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
70.172 * [backup-simplify]: Simplify (+ 0 0) into 0
70.173 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
70.175 * [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
70.176 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (+ (/ 1 k) 1) 2))))) into 0
70.177 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
70.179 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
70.181 * [backup-simplify]: Simplify (+ (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
70.183 * [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
70.183 * [taylor]: Taking taylor expansion of 0 in k
70.183 * [backup-simplify]: Simplify 0 into 0
70.183 * [backup-simplify]: Simplify 0 into 0
70.184 * [backup-simplify]: Simplify 0 into 0
70.185 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
70.188 * [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
70.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
70.190 * [backup-simplify]: Simplify (- 0) into 0
70.191 * [backup-simplify]: Simplify (+ 0 0) into 0
70.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
70.192 * [backup-simplify]: Simplify (+ 0 0) into 0
70.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1
70.196 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1
70.196 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
70.197 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 2 (log k)))))) into (- 1/3)
70.199 * [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))
70.200 * [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))))
70.205 * [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))))
70.213 * [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))))
70.228 * [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))))))))))
70.229 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
70.229 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
70.229 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
70.229 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
70.229 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
70.229 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
70.229 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
70.229 * [taylor]: Taking taylor expansion of 1/4 in k
70.229 * [backup-simplify]: Simplify 1/4 into 1/4
70.229 * [taylor]: Taking taylor expansion of (- 1 k) in k
70.229 * [taylor]: Taking taylor expansion of 1 in k
70.229 * [backup-simplify]: Simplify 1 into 1
70.230 * [taylor]: Taking taylor expansion of k in k
70.230 * [backup-simplify]: Simplify 0 into 0
70.230 * [backup-simplify]: Simplify 1 into 1
70.230 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
70.230 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
70.230 * [taylor]: Taking taylor expansion of 2 in k
70.230 * [backup-simplify]: Simplify 2 into 2
70.230 * [taylor]: Taking taylor expansion of (* n PI) in k
70.230 * [taylor]: Taking taylor expansion of n in k
70.230 * [backup-simplify]: Simplify n into n
70.230 * [taylor]: Taking taylor expansion of PI in k
70.230 * [backup-simplify]: Simplify PI into PI
70.230 * [backup-simplify]: Simplify (* n PI) into (* n PI)
70.230 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
70.230 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
70.230 * [backup-simplify]: Simplify (- 0) into 0
70.231 * [backup-simplify]: Simplify (+ 1 0) into 1
70.231 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
70.231 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
70.231 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
70.231 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
70.232 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
70.232 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
70.232 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
70.232 * [taylor]: Taking taylor expansion of 1/4 in n
70.232 * [backup-simplify]: Simplify 1/4 into 1/4
70.232 * [taylor]: Taking taylor expansion of (- 1 k) in n
70.232 * [taylor]: Taking taylor expansion of 1 in n
70.232 * [backup-simplify]: Simplify 1 into 1
70.232 * [taylor]: Taking taylor expansion of k in n
70.232 * [backup-simplify]: Simplify k into k
70.232 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
70.232 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
70.232 * [taylor]: Taking taylor expansion of 2 in n
70.232 * [backup-simplify]: Simplify 2 into 2
70.232 * [taylor]: Taking taylor expansion of (* n PI) in n
70.232 * [taylor]: Taking taylor expansion of n in n
70.232 * [backup-simplify]: Simplify 0 into 0
70.232 * [backup-simplify]: Simplify 1 into 1
70.232 * [taylor]: Taking taylor expansion of PI in n
70.232 * [backup-simplify]: Simplify PI into PI
70.232 * [backup-simplify]: Simplify (* 0 PI) into 0
70.233 * [backup-simplify]: Simplify (* 2 0) into 0
70.234 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
70.236 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
70.237 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
70.237 * [backup-simplify]: Simplify (- k) into (- k)
70.237 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
70.237 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
70.238 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
70.239 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
70.240 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
70.241 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
70.241 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
70.241 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
70.241 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
70.241 * [taylor]: Taking taylor expansion of 1/4 in n
70.241 * [backup-simplify]: Simplify 1/4 into 1/4
70.241 * [taylor]: Taking taylor expansion of (- 1 k) in n
70.241 * [taylor]: Taking taylor expansion of 1 in n
70.241 * [backup-simplify]: Simplify 1 into 1
70.241 * [taylor]: Taking taylor expansion of k in n
70.241 * [backup-simplify]: Simplify k into k
70.241 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
70.241 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
70.241 * [taylor]: Taking taylor expansion of 2 in n
70.241 * [backup-simplify]: Simplify 2 into 2
70.241 * [taylor]: Taking taylor expansion of (* n PI) in n
70.241 * [taylor]: Taking taylor expansion of n in n
70.241 * [backup-simplify]: Simplify 0 into 0
70.241 * [backup-simplify]: Simplify 1 into 1
70.241 * [taylor]: Taking taylor expansion of PI in n
70.241 * [backup-simplify]: Simplify PI into PI
70.241 * [backup-simplify]: Simplify (* 0 PI) into 0
70.242 * [backup-simplify]: Simplify (* 2 0) into 0
70.243 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
70.245 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
70.246 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
70.246 * [backup-simplify]: Simplify (- k) into (- k)
70.246 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
70.246 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
70.248 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
70.249 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
70.250 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
70.250 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
70.250 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
70.250 * [taylor]: Taking taylor expansion of 1/4 in k
70.250 * [backup-simplify]: Simplify 1/4 into 1/4
70.250 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
70.251 * [taylor]: Taking taylor expansion of (- 1 k) in k
70.251 * [taylor]: Taking taylor expansion of 1 in k
70.251 * [backup-simplify]: Simplify 1 into 1
70.251 * [taylor]: Taking taylor expansion of k in k
70.251 * [backup-simplify]: Simplify 0 into 0
70.251 * [backup-simplify]: Simplify 1 into 1
70.251 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
70.251 * [taylor]: Taking taylor expansion of (log n) in k
70.251 * [taylor]: Taking taylor expansion of n in k
70.251 * [backup-simplify]: Simplify n into n
70.251 * [backup-simplify]: Simplify (log n) into (log n)
70.251 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
70.251 * [taylor]: Taking taylor expansion of (* 2 PI) in k
70.251 * [taylor]: Taking taylor expansion of 2 in k
70.251 * [backup-simplify]: Simplify 2 into 2
70.251 * [taylor]: Taking taylor expansion of PI in k
70.251 * [backup-simplify]: Simplify PI into PI
70.251 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
70.252 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
70.252 * [backup-simplify]: Simplify (- 0) into 0
70.253 * [backup-simplify]: Simplify (+ 1 0) into 1
70.253 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
70.254 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
70.259 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
70.260 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
70.260 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
70.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
70.262 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
70.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
70.263 * [backup-simplify]: Simplify (- 0) into 0
70.263 * [backup-simplify]: Simplify (+ 0 0) into 0
70.264 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
70.265 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
70.265 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
70.267 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
70.267 * [taylor]: Taking taylor expansion of 0 in k
70.267 * [backup-simplify]: Simplify 0 into 0
70.267 * [backup-simplify]: Simplify 0 into 0
70.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
70.268 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
70.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
70.269 * [backup-simplify]: Simplify (+ 0 0) into 0
70.269 * [backup-simplify]: Simplify (- 1) into -1
70.269 * [backup-simplify]: Simplify (+ 0 -1) into -1
70.270 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
70.272 * [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)))))
70.274 * [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)))))))
70.276 * [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)))))))
70.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
70.278 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
70.280 * [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
70.280 * [backup-simplify]: Simplify (- 0) into 0
70.280 * [backup-simplify]: Simplify (+ 0 0) into 0
70.281 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
70.283 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
70.285 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
70.287 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
70.287 * [taylor]: Taking taylor expansion of 0 in k
70.288 * [backup-simplify]: Simplify 0 into 0
70.288 * [backup-simplify]: Simplify 0 into 0
70.288 * [backup-simplify]: Simplify 0 into 0
70.289 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
70.290 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
70.293 * [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
70.294 * [backup-simplify]: Simplify (+ 0 0) into 0
70.294 * [backup-simplify]: Simplify (- 0) into 0
70.295 * [backup-simplify]: Simplify (+ 0 0) into 0
70.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
70.299 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
70.303 * [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)))))
70.308 * [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)))))
70.317 * [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)))))))
70.318 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
70.318 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
70.318 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
70.318 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
70.318 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
70.318 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
70.318 * [taylor]: Taking taylor expansion of 1/4 in k
70.318 * [backup-simplify]: Simplify 1/4 into 1/4
70.318 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
70.318 * [taylor]: Taking taylor expansion of 1 in k
70.318 * [backup-simplify]: Simplify 1 into 1
70.318 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.318 * [taylor]: Taking taylor expansion of k in k
70.318 * [backup-simplify]: Simplify 0 into 0
70.318 * [backup-simplify]: Simplify 1 into 1
70.319 * [backup-simplify]: Simplify (/ 1 1) into 1
70.319 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
70.319 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
70.319 * [taylor]: Taking taylor expansion of 2 in k
70.319 * [backup-simplify]: Simplify 2 into 2
70.319 * [taylor]: Taking taylor expansion of (/ PI n) in k
70.319 * [taylor]: Taking taylor expansion of PI in k
70.319 * [backup-simplify]: Simplify PI into PI
70.319 * [taylor]: Taking taylor expansion of n in k
70.319 * [backup-simplify]: Simplify n into n
70.319 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
70.319 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
70.319 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
70.320 * [backup-simplify]: Simplify (- 1) into -1
70.320 * [backup-simplify]: Simplify (+ 0 -1) into -1
70.321 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
70.321 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
70.321 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
70.321 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
70.321 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
70.321 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
70.321 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
70.321 * [taylor]: Taking taylor expansion of 1/4 in n
70.321 * [backup-simplify]: Simplify 1/4 into 1/4
70.321 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
70.321 * [taylor]: Taking taylor expansion of 1 in n
70.321 * [backup-simplify]: Simplify 1 into 1
70.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n
70.321 * [taylor]: Taking taylor expansion of k in n
70.321 * [backup-simplify]: Simplify k into k
70.321 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
70.321 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
70.321 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
70.321 * [taylor]: Taking taylor expansion of 2 in n
70.322 * [backup-simplify]: Simplify 2 into 2
70.322 * [taylor]: Taking taylor expansion of (/ PI n) in n
70.322 * [taylor]: Taking taylor expansion of PI in n
70.322 * [backup-simplify]: Simplify PI into PI
70.322 * [taylor]: Taking taylor expansion of n in n
70.322 * [backup-simplify]: Simplify 0 into 0
70.322 * [backup-simplify]: Simplify 1 into 1
70.322 * [backup-simplify]: Simplify (/ PI 1) into PI
70.323 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
70.324 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
70.324 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
70.324 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
70.324 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
70.325 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
70.326 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
70.327 * [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)))))
70.328 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
70.328 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
70.328 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
70.328 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
70.328 * [taylor]: Taking taylor expansion of 1/4 in n
70.328 * [backup-simplify]: Simplify 1/4 into 1/4
70.328 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
70.328 * [taylor]: Taking taylor expansion of 1 in n
70.328 * [backup-simplify]: Simplify 1 into 1
70.328 * [taylor]: Taking taylor expansion of (/ 1 k) in n
70.328 * [taylor]: Taking taylor expansion of k in n
70.328 * [backup-simplify]: Simplify k into k
70.328 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
70.328 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
70.328 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
70.328 * [taylor]: Taking taylor expansion of 2 in n
70.328 * [backup-simplify]: Simplify 2 into 2
70.328 * [taylor]: Taking taylor expansion of (/ PI n) in n
70.328 * [taylor]: Taking taylor expansion of PI in n
70.328 * [backup-simplify]: Simplify PI into PI
70.328 * [taylor]: Taking taylor expansion of n in n
70.328 * [backup-simplify]: Simplify 0 into 0
70.328 * [backup-simplify]: Simplify 1 into 1
70.329 * [backup-simplify]: Simplify (/ PI 1) into PI
70.329 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
70.330 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
70.330 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
70.330 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
70.330 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
70.332 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
70.333 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
70.334 * [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)))))
70.334 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
70.334 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
70.334 * [taylor]: Taking taylor expansion of 1/4 in k
70.334 * [backup-simplify]: Simplify 1/4 into 1/4
70.334 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
70.334 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
70.334 * [taylor]: Taking taylor expansion of 1 in k
70.334 * [backup-simplify]: Simplify 1 into 1
70.334 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.334 * [taylor]: Taking taylor expansion of k in k
70.334 * [backup-simplify]: Simplify 0 into 0
70.334 * [backup-simplify]: Simplify 1 into 1
70.335 * [backup-simplify]: Simplify (/ 1 1) into 1
70.335 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
70.335 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
70.335 * [taylor]: Taking taylor expansion of (* 2 PI) in k
70.335 * [taylor]: Taking taylor expansion of 2 in k
70.335 * [backup-simplify]: Simplify 2 into 2
70.335 * [taylor]: Taking taylor expansion of PI in k
70.335 * [backup-simplify]: Simplify PI into PI
70.335 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
70.336 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
70.336 * [taylor]: Taking taylor expansion of (log n) in k
70.336 * [taylor]: Taking taylor expansion of n in k
70.336 * [backup-simplify]: Simplify n into n
70.336 * [backup-simplify]: Simplify (log n) into (log n)
70.337 * [backup-simplify]: Simplify (- 1) into -1
70.337 * [backup-simplify]: Simplify (+ 0 -1) into -1
70.337 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
70.338 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
70.339 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
70.340 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
70.341 * [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)))))
70.342 * [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)))))
70.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
70.345 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
70.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
70.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
70.347 * [backup-simplify]: Simplify (- 0) into 0
70.347 * [backup-simplify]: Simplify (+ 0 0) into 0
70.348 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
70.349 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
70.350 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
70.352 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
70.352 * [taylor]: Taking taylor expansion of 0 in k
70.352 * [backup-simplify]: Simplify 0 into 0
70.352 * [backup-simplify]: Simplify 0 into 0
70.352 * [backup-simplify]: Simplify 0 into 0
70.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
70.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
70.355 * [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
70.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
70.355 * [backup-simplify]: Simplify (- 0) into 0
70.356 * [backup-simplify]: Simplify (+ 0 0) into 0
70.356 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
70.357 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
70.358 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
70.359 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
70.359 * [taylor]: Taking taylor expansion of 0 in k
70.359 * [backup-simplify]: Simplify 0 into 0
70.359 * [backup-simplify]: Simplify 0 into 0
70.359 * [backup-simplify]: Simplify 0 into 0
70.359 * [backup-simplify]: Simplify 0 into 0
70.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
70.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
70.364 * [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
70.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
70.365 * [backup-simplify]: Simplify (- 0) into 0
70.365 * [backup-simplify]: Simplify (+ 0 0) into 0
70.366 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
70.367 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
70.368 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
70.369 * [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
70.370 * [taylor]: Taking taylor expansion of 0 in k
70.370 * [backup-simplify]: Simplify 0 into 0
70.370 * [backup-simplify]: Simplify 0 into 0
70.370 * [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))))))
70.371 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
70.371 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
70.371 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
70.371 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
70.371 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
70.371 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
70.371 * [taylor]: Taking taylor expansion of 1/4 in k
70.371 * [backup-simplify]: Simplify 1/4 into 1/4
70.371 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
70.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.371 * [taylor]: Taking taylor expansion of k in k
70.371 * [backup-simplify]: Simplify 0 into 0
70.371 * [backup-simplify]: Simplify 1 into 1
70.371 * [backup-simplify]: Simplify (/ 1 1) into 1
70.371 * [taylor]: Taking taylor expansion of 1 in k
70.371 * [backup-simplify]: Simplify 1 into 1
70.371 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
70.371 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
70.371 * [taylor]: Taking taylor expansion of -2 in k
70.371 * [backup-simplify]: Simplify -2 into -2
70.371 * [taylor]: Taking taylor expansion of (/ PI n) in k
70.371 * [taylor]: Taking taylor expansion of PI in k
70.371 * [backup-simplify]: Simplify PI into PI
70.371 * [taylor]: Taking taylor expansion of n in k
70.371 * [backup-simplify]: Simplify n into n
70.371 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
70.371 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
70.371 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
70.372 * [backup-simplify]: Simplify (+ 1 0) into 1
70.372 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
70.372 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
70.372 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
70.372 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
70.372 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
70.372 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
70.372 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
70.372 * [taylor]: Taking taylor expansion of 1/4 in n
70.372 * [backup-simplify]: Simplify 1/4 into 1/4
70.372 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
70.372 * [taylor]: Taking taylor expansion of (/ 1 k) in n
70.372 * [taylor]: Taking taylor expansion of k in n
70.372 * [backup-simplify]: Simplify k into k
70.372 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
70.372 * [taylor]: Taking taylor expansion of 1 in n
70.372 * [backup-simplify]: Simplify 1 into 1
70.372 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
70.372 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
70.373 * [taylor]: Taking taylor expansion of -2 in n
70.373 * [backup-simplify]: Simplify -2 into -2
70.373 * [taylor]: Taking taylor expansion of (/ PI n) in n
70.373 * [taylor]: Taking taylor expansion of PI in n
70.373 * [backup-simplify]: Simplify PI into PI
70.373 * [taylor]: Taking taylor expansion of n in n
70.373 * [backup-simplify]: Simplify 0 into 0
70.373 * [backup-simplify]: Simplify 1 into 1
70.373 * [backup-simplify]: Simplify (/ PI 1) into PI
70.373 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
70.378 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
70.378 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
70.378 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
70.379 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
70.381 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
70.382 * [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)))))
70.382 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
70.382 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
70.382 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
70.382 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
70.382 * [taylor]: Taking taylor expansion of 1/4 in n
70.382 * [backup-simplify]: Simplify 1/4 into 1/4
70.382 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
70.382 * [taylor]: Taking taylor expansion of (/ 1 k) in n
70.382 * [taylor]: Taking taylor expansion of k in n
70.382 * [backup-simplify]: Simplify k into k
70.382 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
70.382 * [taylor]: Taking taylor expansion of 1 in n
70.382 * [backup-simplify]: Simplify 1 into 1
70.382 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
70.382 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
70.382 * [taylor]: Taking taylor expansion of -2 in n
70.382 * [backup-simplify]: Simplify -2 into -2
70.382 * [taylor]: Taking taylor expansion of (/ PI n) in n
70.382 * [taylor]: Taking taylor expansion of PI in n
70.382 * [backup-simplify]: Simplify PI into PI
70.382 * [taylor]: Taking taylor expansion of n in n
70.382 * [backup-simplify]: Simplify 0 into 0
70.382 * [backup-simplify]: Simplify 1 into 1
70.383 * [backup-simplify]: Simplify (/ PI 1) into PI
70.383 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
70.384 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
70.384 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
70.385 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
70.386 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
70.387 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
70.388 * [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)))))
70.388 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
70.388 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
70.388 * [taylor]: Taking taylor expansion of 1/4 in k
70.388 * [backup-simplify]: Simplify 1/4 into 1/4
70.388 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
70.388 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
70.388 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.388 * [taylor]: Taking taylor expansion of k in k
70.389 * [backup-simplify]: Simplify 0 into 0
70.389 * [backup-simplify]: Simplify 1 into 1
70.389 * [backup-simplify]: Simplify (/ 1 1) into 1
70.389 * [taylor]: Taking taylor expansion of 1 in k
70.389 * [backup-simplify]: Simplify 1 into 1
70.389 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
70.389 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
70.389 * [taylor]: Taking taylor expansion of (* -2 PI) in k
70.389 * [taylor]: Taking taylor expansion of -2 in k
70.389 * [backup-simplify]: Simplify -2 into -2
70.389 * [taylor]: Taking taylor expansion of PI in k
70.389 * [backup-simplify]: Simplify PI into PI
70.390 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
70.391 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
70.391 * [taylor]: Taking taylor expansion of (log n) in k
70.391 * [taylor]: Taking taylor expansion of n in k
70.391 * [backup-simplify]: Simplify n into n
70.391 * [backup-simplify]: Simplify (log n) into (log n)
70.391 * [backup-simplify]: Simplify (+ 1 0) into 1
70.391 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
70.392 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
70.393 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
70.394 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
70.395 * [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)))))
70.397 * [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)))))
70.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
70.398 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
70.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
70.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
70.400 * [backup-simplify]: Simplify (+ 0 0) into 0
70.400 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
70.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
70.402 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
70.404 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
70.404 * [taylor]: Taking taylor expansion of 0 in k
70.404 * [backup-simplify]: Simplify 0 into 0
70.404 * [backup-simplify]: Simplify 0 into 0
70.404 * [backup-simplify]: Simplify 0 into 0
70.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
70.405 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
70.407 * [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
70.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
70.407 * [backup-simplify]: Simplify (+ 0 0) into 0
70.408 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
70.409 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
70.410 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
70.411 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
70.411 * [taylor]: Taking taylor expansion of 0 in k
70.411 * [backup-simplify]: Simplify 0 into 0
70.411 * [backup-simplify]: Simplify 0 into 0
70.411 * [backup-simplify]: Simplify 0 into 0
70.411 * [backup-simplify]: Simplify 0 into 0
70.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
70.413 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
70.416 * [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
70.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
70.416 * [backup-simplify]: Simplify (+ 0 0) into 0
70.417 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
70.418 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
70.419 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
70.421 * [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
70.421 * [taylor]: Taking taylor expansion of 0 in k
70.421 * [backup-simplify]: Simplify 0 into 0
70.421 * [backup-simplify]: Simplify 0 into 0
70.421 * [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))))))
70.422 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1)
70.422 * [backup-simplify]: Simplify (cbrt (- 1 k)) into (pow (- 1 k) 1/3)
70.422 * [approximate]: Taking taylor expansion of (pow (- 1 k) 1/3) in (k) around 0
70.422 * [taylor]: Taking taylor expansion of (pow (- 1 k) 1/3) in k
70.422 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 k)))) in k
70.422 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 k))) in k
70.422 * [taylor]: Taking taylor expansion of 1/3 in k
70.422 * [backup-simplify]: Simplify 1/3 into 1/3
70.422 * [taylor]: Taking taylor expansion of (log (- 1 k)) in k
70.422 * [taylor]: Taking taylor expansion of (- 1 k) in k
70.422 * [taylor]: Taking taylor expansion of 1 in k
70.422 * [backup-simplify]: Simplify 1 into 1
70.422 * [taylor]: Taking taylor expansion of k in k
70.422 * [backup-simplify]: Simplify 0 into 0
70.422 * [backup-simplify]: Simplify 1 into 1
70.422 * [backup-simplify]: Simplify (- 0) into 0
70.422 * [backup-simplify]: Simplify (+ 1 0) into 1
70.423 * [backup-simplify]: Simplify (log 1) into 0
70.423 * [backup-simplify]: Simplify (* 1/3 0) into 0
70.423 * [backup-simplify]: Simplify (- 1) into -1
70.423 * [backup-simplify]: Simplify (+ 0 -1) into -1
70.425 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
70.426 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3
70.426 * [backup-simplify]: Simplify (exp 0) into 1
70.426 * [taylor]: Taking taylor expansion of (pow (- 1 k) 1/3) in k
70.426 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 k)))) in k
70.426 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 k))) in k
70.426 * [taylor]: Taking taylor expansion of 1/3 in k
70.426 * [backup-simplify]: Simplify 1/3 into 1/3
70.426 * [taylor]: Taking taylor expansion of (log (- 1 k)) in k
70.426 * [taylor]: Taking taylor expansion of (- 1 k) in k
70.426 * [taylor]: Taking taylor expansion of 1 in k
70.426 * [backup-simplify]: Simplify 1 into 1
70.426 * [taylor]: Taking taylor expansion of k in k
70.426 * [backup-simplify]: Simplify 0 into 0
70.426 * [backup-simplify]: Simplify 1 into 1
70.427 * [backup-simplify]: Simplify (- 0) into 0
70.427 * [backup-simplify]: Simplify (+ 1 0) into 1
70.427 * [backup-simplify]: Simplify (log 1) into 0
70.428 * [backup-simplify]: Simplify (* 1/3 0) into 0
70.428 * [backup-simplify]: Simplify (- 1) into -1
70.429 * [backup-simplify]: Simplify (+ 0 -1) into -1
70.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
70.431 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3
70.431 * [backup-simplify]: Simplify (exp 0) into 1
70.431 * [backup-simplify]: Simplify 1 into 1
70.432 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3
70.432 * [backup-simplify]: Simplify -1/3 into -1/3
70.433 * [backup-simplify]: Simplify (- 0) into 0
70.433 * [backup-simplify]: Simplify (+ 0 0) into 0
70.436 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
70.438 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6
70.439 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
70.440 * [backup-simplify]: Simplify -1/9 into -1/9
70.440 * [backup-simplify]: Simplify (+ (* -1/9 (pow k 2)) (+ (* -1/3 k) 1)) into (- 1 (+ (* 1/9 (pow k 2)) (* 1/3 k)))
70.440 * [backup-simplify]: Simplify (cbrt (- 1 (/ 1 k))) into (pow (- 1 (/ 1 k)) 1/3)
70.440 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 1/3) in (k) around 0
70.440 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 1/3) in k
70.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 k))))) in k
70.440 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 k)))) in k
70.440 * [taylor]: Taking taylor expansion of 1/3 in k
70.440 * [backup-simplify]: Simplify 1/3 into 1/3
70.440 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 k))) in k
70.440 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
70.440 * [taylor]: Taking taylor expansion of 1 in k
70.440 * [backup-simplify]: Simplify 1 into 1
70.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.440 * [taylor]: Taking taylor expansion of k in k
70.440 * [backup-simplify]: Simplify 0 into 0
70.440 * [backup-simplify]: Simplify 1 into 1
70.441 * [backup-simplify]: Simplify (/ 1 1) into 1
70.441 * [backup-simplify]: Simplify (- 1) into -1
70.442 * [backup-simplify]: Simplify (+ 0 -1) into -1
70.442 * [backup-simplify]: Simplify (log -1) into (log -1)
70.443 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
70.444 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log k))) into (* 1/3 (- (log -1) (log k)))
70.444 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log k)))) into (exp (* 1/3 (- (log -1) (log k))))
70.444 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 1/3) in k
70.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 k))))) in k
70.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 k)))) in k
70.444 * [taylor]: Taking taylor expansion of 1/3 in k
70.444 * [backup-simplify]: Simplify 1/3 into 1/3
70.444 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 k))) in k
70.444 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
70.444 * [taylor]: Taking taylor expansion of 1 in k
70.444 * [backup-simplify]: Simplify 1 into 1
70.444 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.444 * [taylor]: Taking taylor expansion of k in k
70.445 * [backup-simplify]: Simplify 0 into 0
70.445 * [backup-simplify]: Simplify 1 into 1
70.445 * [backup-simplify]: Simplify (/ 1 1) into 1
70.445 * [backup-simplify]: Simplify (- 1) into -1
70.446 * [backup-simplify]: Simplify (+ 0 -1) into -1
70.446 * [backup-simplify]: Simplify (log -1) into (log -1)
70.447 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
70.448 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log k))) into (* 1/3 (- (log -1) (log k)))
70.448 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log k)))) into (exp (* 1/3 (- (log -1) (log k))))
70.449 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log k)))) into (exp (* 1/3 (- (log -1) (log k))))
70.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
70.450 * [backup-simplify]: Simplify (- 0) into 0
70.451 * [backup-simplify]: Simplify (+ 1 0) into 1
70.452 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
70.453 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
70.453 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log k)))) into (- 1/3)
70.455 * [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)))))
70.455 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log k))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log k)))))
70.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
70.457 * [backup-simplify]: Simplify (- 0) into 0
70.457 * [backup-simplify]: Simplify (+ 0 0) into 0
70.460 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
70.461 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
70.463 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log k))))) into (- 1/6)
70.466 * [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)))))
70.466 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log k))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log k)))))
70.468 * [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))))
70.468 * [backup-simplify]: Simplify (cbrt (- 1 (/ 1 (- k)))) into (pow (+ (/ 1 k) 1) 1/3)
70.468 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 1/3) in (k) around 0
70.468 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 1/3) in k
70.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 k) 1)))) in k
70.468 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 k) 1))) in k
70.469 * [taylor]: Taking taylor expansion of 1/3 in k
70.469 * [backup-simplify]: Simplify 1/3 into 1/3
70.469 * [taylor]: Taking taylor expansion of (log (+ (/ 1 k) 1)) in k
70.469 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
70.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.469 * [taylor]: Taking taylor expansion of k in k
70.469 * [backup-simplify]: Simplify 0 into 0
70.469 * [backup-simplify]: Simplify 1 into 1
70.469 * [backup-simplify]: Simplify (/ 1 1) into 1
70.469 * [taylor]: Taking taylor expansion of 1 in k
70.469 * [backup-simplify]: Simplify 1 into 1
70.470 * [backup-simplify]: Simplify (+ 1 0) into 1
70.470 * [backup-simplify]: Simplify (log 1) into 0
70.471 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
70.471 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k))
70.471 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3)
70.471 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 1/3) in k
70.471 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 k) 1)))) in k
70.471 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 k) 1))) in k
70.471 * [taylor]: Taking taylor expansion of 1/3 in k
70.471 * [backup-simplify]: Simplify 1/3 into 1/3
70.471 * [taylor]: Taking taylor expansion of (log (+ (/ 1 k) 1)) in k
70.471 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
70.471 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.471 * [taylor]: Taking taylor expansion of k in k
70.471 * [backup-simplify]: Simplify 0 into 0
70.471 * [backup-simplify]: Simplify 1 into 1
70.471 * [backup-simplify]: Simplify (/ 1 1) into 1
70.471 * [taylor]: Taking taylor expansion of 1 in k
70.471 * [backup-simplify]: Simplify 1 into 1
70.472 * [backup-simplify]: Simplify (+ 1 0) into 1
70.472 * [backup-simplify]: Simplify (log 1) into 0
70.473 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
70.473 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k))
70.473 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3)
70.473 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3)
70.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
70.474 * [backup-simplify]: Simplify (+ 0 1) into 1
70.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
70.476 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
70.477 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log k)))) into 1/3
70.477 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 k) 1/3))
70.478 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 k) 1/3)) into (* 1/3 (pow (/ 1 k) 1/3))
70.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
70.479 * [backup-simplify]: Simplify (+ 0 0) into 0
70.483 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
70.483 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
70.484 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log k))))) into (- 1/6)
70.486 * [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))
70.486 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 k) 1/3)) into (* -1/9 (pow (/ 1 k) 1/3))
70.487 * [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))))
70.487 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1 1 2)
70.487 * [backup-simplify]: Simplify (cbrt (- 1 k)) into (pow (- 1 k) 1/3)
70.487 * [approximate]: Taking taylor expansion of (pow (- 1 k) 1/3) in (k) around 0
70.487 * [taylor]: Taking taylor expansion of (pow (- 1 k) 1/3) in k
70.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 k)))) in k
70.488 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 k))) in k
70.488 * [taylor]: Taking taylor expansion of 1/3 in k
70.488 * [backup-simplify]: Simplify 1/3 into 1/3
70.488 * [taylor]: Taking taylor expansion of (log (- 1 k)) in k
70.488 * [taylor]: Taking taylor expansion of (- 1 k) in k
70.488 * [taylor]: Taking taylor expansion of 1 in k
70.488 * [backup-simplify]: Simplify 1 into 1
70.488 * [taylor]: Taking taylor expansion of k in k
70.488 * [backup-simplify]: Simplify 0 into 0
70.488 * [backup-simplify]: Simplify 1 into 1
70.488 * [backup-simplify]: Simplify (- 0) into 0
70.489 * [backup-simplify]: Simplify (+ 1 0) into 1
70.489 * [backup-simplify]: Simplify (log 1) into 0
70.490 * [backup-simplify]: Simplify (* 1/3 0) into 0
70.490 * [backup-simplify]: Simplify (- 1) into -1
70.490 * [backup-simplify]: Simplify (+ 0 -1) into -1
70.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
70.493 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3
70.493 * [backup-simplify]: Simplify (exp 0) into 1
70.493 * [taylor]: Taking taylor expansion of (pow (- 1 k) 1/3) in k
70.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 k)))) in k
70.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 k))) in k
70.493 * [taylor]: Taking taylor expansion of 1/3 in k
70.493 * [backup-simplify]: Simplify 1/3 into 1/3
70.493 * [taylor]: Taking taylor expansion of (log (- 1 k)) in k
70.493 * [taylor]: Taking taylor expansion of (- 1 k) in k
70.493 * [taylor]: Taking taylor expansion of 1 in k
70.493 * [backup-simplify]: Simplify 1 into 1
70.493 * [taylor]: Taking taylor expansion of k in k
70.493 * [backup-simplify]: Simplify 0 into 0
70.493 * [backup-simplify]: Simplify 1 into 1
70.493 * [backup-simplify]: Simplify (- 0) into 0
70.494 * [backup-simplify]: Simplify (+ 1 0) into 1
70.494 * [backup-simplify]: Simplify (log 1) into 0
70.495 * [backup-simplify]: Simplify (* 1/3 0) into 0
70.495 * [backup-simplify]: Simplify (- 1) into -1
70.495 * [backup-simplify]: Simplify (+ 0 -1) into -1
70.497 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
70.497 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3
70.497 * [backup-simplify]: Simplify (exp 0) into 1
70.497 * [backup-simplify]: Simplify 1 into 1
70.499 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3
70.499 * [backup-simplify]: Simplify -1/3 into -1/3
70.499 * [backup-simplify]: Simplify (- 0) into 0
70.500 * [backup-simplify]: Simplify (+ 0 0) into 0
70.502 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
70.504 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6
70.506 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
70.506 * [backup-simplify]: Simplify -1/9 into -1/9
70.506 * [backup-simplify]: Simplify (+ (* -1/9 (pow k 2)) (+ (* -1/3 k) 1)) into (- 1 (+ (* 1/9 (pow k 2)) (* 1/3 k)))
70.506 * [backup-simplify]: Simplify (cbrt (- 1 (/ 1 k))) into (pow (- 1 (/ 1 k)) 1/3)
70.506 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 1/3) in (k) around 0
70.506 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 1/3) in k
70.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 k))))) in k
70.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 k)))) in k
70.506 * [taylor]: Taking taylor expansion of 1/3 in k
70.506 * [backup-simplify]: Simplify 1/3 into 1/3
70.506 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 k))) in k
70.506 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
70.507 * [taylor]: Taking taylor expansion of 1 in k
70.507 * [backup-simplify]: Simplify 1 into 1
70.507 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.507 * [taylor]: Taking taylor expansion of k in k
70.507 * [backup-simplify]: Simplify 0 into 0
70.507 * [backup-simplify]: Simplify 1 into 1
70.507 * [backup-simplify]: Simplify (/ 1 1) into 1
70.508 * [backup-simplify]: Simplify (- 1) into -1
70.508 * [backup-simplify]: Simplify (+ 0 -1) into -1
70.509 * [backup-simplify]: Simplify (log -1) into (log -1)
70.509 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
70.510 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log k))) into (* 1/3 (- (log -1) (log k)))
70.510 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log k)))) into (exp (* 1/3 (- (log -1) (log k))))
70.510 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 1/3) in k
70.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 k))))) in k
70.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 k)))) in k
70.511 * [taylor]: Taking taylor expansion of 1/3 in k
70.511 * [backup-simplify]: Simplify 1/3 into 1/3
70.511 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 k))) in k
70.511 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
70.511 * [taylor]: Taking taylor expansion of 1 in k
70.511 * [backup-simplify]: Simplify 1 into 1
70.511 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.511 * [taylor]: Taking taylor expansion of k in k
70.511 * [backup-simplify]: Simplify 0 into 0
70.511 * [backup-simplify]: Simplify 1 into 1
70.511 * [backup-simplify]: Simplify (/ 1 1) into 1
70.518 * [backup-simplify]: Simplify (- 1) into -1
70.519 * [backup-simplify]: Simplify (+ 0 -1) into -1
70.519 * [backup-simplify]: Simplify (log -1) into (log -1)
70.520 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
70.521 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log k))) into (* 1/3 (- (log -1) (log k)))
70.521 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log k)))) into (exp (* 1/3 (- (log -1) (log k))))
70.522 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log k)))) into (exp (* 1/3 (- (log -1) (log k))))
70.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
70.523 * [backup-simplify]: Simplify (- 0) into 0
70.524 * [backup-simplify]: Simplify (+ 1 0) into 1
70.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
70.526 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
70.527 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log k)))) into (- 1/3)
70.529 * [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)))))
70.529 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log k))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log k)))))
70.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
70.531 * [backup-simplify]: Simplify (- 0) into 0
70.531 * [backup-simplify]: Simplify (+ 0 0) into 0
70.534 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
70.535 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
70.537 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log k))))) into (- 1/6)
70.539 * [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)))))
70.540 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log k))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log k)))))
70.541 * [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))))
70.542 * [backup-simplify]: Simplify (cbrt (- 1 (/ 1 (- k)))) into (pow (+ (/ 1 k) 1) 1/3)
70.542 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 1/3) in (k) around 0
70.542 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 1/3) in k
70.542 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 k) 1)))) in k
70.542 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 k) 1))) in k
70.542 * [taylor]: Taking taylor expansion of 1/3 in k
70.542 * [backup-simplify]: Simplify 1/3 into 1/3
70.542 * [taylor]: Taking taylor expansion of (log (+ (/ 1 k) 1)) in k
70.542 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
70.542 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.542 * [taylor]: Taking taylor expansion of k in k
70.542 * [backup-simplify]: Simplify 0 into 0
70.542 * [backup-simplify]: Simplify 1 into 1
70.543 * [backup-simplify]: Simplify (/ 1 1) into 1
70.543 * [taylor]: Taking taylor expansion of 1 in k
70.543 * [backup-simplify]: Simplify 1 into 1
70.543 * [backup-simplify]: Simplify (+ 1 0) into 1
70.543 * [backup-simplify]: Simplify (log 1) into 0
70.544 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
70.544 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k))
70.544 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3)
70.544 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 1/3) in k
70.544 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 k) 1)))) in k
70.544 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 k) 1))) in k
70.544 * [taylor]: Taking taylor expansion of 1/3 in k
70.544 * [backup-simplify]: Simplify 1/3 into 1/3
70.544 * [taylor]: Taking taylor expansion of (log (+ (/ 1 k) 1)) in k
70.544 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
70.544 * [taylor]: Taking taylor expansion of (/ 1 k) in k
70.544 * [taylor]: Taking taylor expansion of k in k
70.544 * [backup-simplify]: Simplify 0 into 0
70.544 * [backup-simplify]: Simplify 1 into 1
70.545 * [backup-simplify]: Simplify (/ 1 1) into 1
70.545 * [taylor]: Taking taylor expansion of 1 in k
70.545 * [backup-simplify]: Simplify 1 into 1
70.545 * [backup-simplify]: Simplify (+ 1 0) into 1
70.546 * [backup-simplify]: Simplify (log 1) into 0
70.546 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
70.546 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k))
70.546 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3)
70.547 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3)
70.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
70.548 * [backup-simplify]: Simplify (+ 0 1) into 1
70.549 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
70.550 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
70.550 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log k)))) into 1/3
70.551 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 k) 1/3))
70.551 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 k) 1/3)) into (* 1/3 (pow (/ 1 k) 1/3))
70.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
70.553 * [backup-simplify]: Simplify (+ 0 0) into 0
70.556 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
70.556 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
70.557 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log k))))) into (- 1/6)
70.559 * [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))
70.559 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 k) 1/3)) into (* -1/9 (pow (/ 1 k) 1/3))
70.560 * [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))))
70.560 * * * [progress]: simplifying candidates
70.560 * * * * [progress]: [ 1 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (log1p (expm1 (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))))>
70.560 * * * * [progress]: [ 2 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (expm1 (log1p (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))))>
70.560 * * * * [progress]: [ 3 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
70.561 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
70.561 * * [simplify]: iters left: 6 (16 enodes)
70.570 * * [simplify]: iters left: 5 (55 enodes)
70.587 * * [simplify]: iters left: 4 (97 enodes)
70.609 * * [simplify]: iters left: 3 (221 enodes)
70.737 * * [simplify]: iters left: 2 (486 enodes)
70.982 * * [simplify]: Extracting #0: cost 1 inf + 0
70.982 * * [simplify]: Extracting #1: cost 29 inf + 0
70.983 * * [simplify]: Extracting #2: cost 90 inf + 1
70.983 * * [simplify]: Extracting #3: cost 89 inf + 958
70.984 * * [simplify]: Extracting #4: cost 72 inf + 4058
70.987 * * [simplify]: Extracting #5: cost 25 inf + 16523
70.996 * * [simplify]: Extracting #6: cost 0 inf + 25093
71.002 * [simplify]: Simplified to (* (cbrt (- 1 k)) (* (cbrt (- 1 k)) (+ (+ (log n) (log 2)) (log PI))))
71.003 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (exp (* (cbrt (- 1 k)) (* (cbrt (- 1 k)) (+ (+ (log n) (log 2)) (log PI))))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.003 * * * * [progress]: [ 4 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (exp (* (+ (log n) (log (* 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))))>
71.003 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
71.003 * * [simplify]: iters left: 6 (15 enodes)
71.008 * * [simplify]: iters left: 5 (54 enodes)
71.023 * * [simplify]: iters left: 4 (93 enodes)
71.056 * * [simplify]: iters left: 3 (184 enodes)
71.131 * * [simplify]: iters left: 2 (388 enodes)
71.258 * * [simplify]: Extracting #0: cost 1 inf + 0
71.258 * * [simplify]: Extracting #1: cost 29 inf + 0
71.259 * * [simplify]: Extracting #2: cost 87 inf + 1
71.259 * * [simplify]: Extracting #3: cost 86 inf + 523
71.260 * * [simplify]: Extracting #4: cost 68 inf + 2971
71.261 * * [simplify]: Extracting #5: cost 55 inf + 5126
71.264 * * [simplify]: Extracting #6: cost 16 inf + 16398
71.270 * * [simplify]: Extracting #7: cost 1 inf + 20879
71.276 * * [simplify]: Extracting #8: cost 0 inf + 21193
71.282 * [simplify]: Simplified to (* (* (cbrt (- 1 k)) (cbrt (- 1 k))) (+ (log n) (log (* 2 PI))))
71.282 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (exp (* (* (cbrt (- 1 k)) (cbrt (- 1 k))) (+ (log n) (log (* 2 PI))))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.282 * * * * [progress]: [ 5 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (exp (* (log (* 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))))>
71.282 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
71.282 * * [simplify]: iters left: 6 (14 enodes)
71.286 * * [simplify]: iters left: 5 (52 enodes)
71.296 * * [simplify]: iters left: 4 (97 enodes)
71.316 * * [simplify]: iters left: 3 (184 enodes)
71.382 * * [simplify]: iters left: 2 (368 enodes)
71.559 * * [simplify]: Extracting #0: cost 1 inf + 0
71.560 * * [simplify]: Extracting #1: cost 34 inf + 0
71.561 * * [simplify]: Extracting #2: cost 95 inf + 1
71.562 * * [simplify]: Extracting #3: cost 98 inf + 508
71.564 * * [simplify]: Extracting #4: cost 68 inf + 4239
71.570 * * [simplify]: Extracting #5: cost 19 inf + 16182
71.581 * * [simplify]: Extracting #6: cost 1 inf + 21161
71.592 * * [simplify]: Extracting #7: cost 0 inf + 21434
71.603 * [simplify]: Simplified to (* (cbrt (- 1 k)) (* (cbrt (- 1 k)) (log (* (* PI 2) n))))
71.603 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (exp (* (cbrt (- 1 k)) (* (cbrt (- 1 k)) (log (* (* PI 2) n))))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.604 * * * * [progress]: [ 6 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (exp (* (log (* 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))))>
71.604 * * * * [progress]: [ 7 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (* 1 (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.604 * [simplify]: Simplifying (* n (* 2 PI))
71.604 * * [simplify]: iters left: 4 (5 enodes)
71.607 * * [simplify]: iters left: 3 (19 enodes)
71.613 * * [simplify]: iters left: 2 (27 enodes)
71.617 * * [simplify]: iters left: 1 (32 enodes)
71.623 * * [simplify]: Extracting #0: cost 1 inf + 0
71.623 * * [simplify]: Extracting #1: cost 8 inf + 0
71.623 * * [simplify]: Extracting #2: cost 7 inf + 45
71.623 * * [simplify]: Extracting #3: cost 0 inf + 421
71.623 * [simplify]: Simplified to (* (* PI 2) n)
71.623 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* 1 (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.623 * * * * [progress]: [ 8 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (* 1 (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.623 * [simplify]: Simplifying (* n (* 2 PI))
71.623 * * [simplify]: iters left: 4 (5 enodes)
71.625 * * [simplify]: iters left: 3 (19 enodes)
71.629 * * [simplify]: iters left: 2 (27 enodes)
71.633 * * [simplify]: iters left: 1 (32 enodes)
71.638 * * [simplify]: Extracting #0: cost 1 inf + 0
71.638 * * [simplify]: Extracting #1: cost 8 inf + 0
71.638 * * [simplify]: Extracting #2: cost 7 inf + 45
71.641 * * [simplify]: Extracting #3: cost 0 inf + 421
71.642 * [simplify]: Simplified to (* (* PI 2) n)
71.642 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* 1 (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.642 * * * * [progress]: [ 9 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (* 1 (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.642 * [simplify]: Simplifying (* n (* 2 PI))
71.642 * * [simplify]: iters left: 4 (5 enodes)
71.645 * * [simplify]: iters left: 3 (19 enodes)
71.651 * * [simplify]: iters left: 2 (27 enodes)
71.658 * * [simplify]: iters left: 1 (32 enodes)
71.665 * * [simplify]: Extracting #0: cost 1 inf + 0
71.665 * * [simplify]: Extracting #1: cost 8 inf + 0
71.665 * * [simplify]: Extracting #2: cost 7 inf + 45
71.665 * * [simplify]: Extracting #3: cost 0 inf + 421
71.665 * [simplify]: Simplified to (* (* PI 2) n)
71.666 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* 1 (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.666 * * * * [progress]: [ 10 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.666 * [simplify]: Simplifying (cbrt (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
71.666 * * [simplify]: iters left: 6 (8 enodes)
71.670 * * [simplify]: iters left: 5 (26 enodes)
71.679 * * [simplify]: iters left: 4 (39 enodes)
71.691 * * [simplify]: iters left: 3 (40 enodes)
71.701 * * [simplify]: Extracting #0: cost 1 inf + 0
71.701 * * [simplify]: Extracting #1: cost 3 inf + 0
71.702 * * [simplify]: Extracting #2: cost 7 inf + 0
71.702 * * [simplify]: Extracting #3: cost 9 inf + 1
71.702 * * [simplify]: Extracting #4: cost 12 inf + 1
71.702 * * [simplify]: Extracting #5: cost 12 inf + 2
71.702 * * [simplify]: Extracting #6: cost 6 inf + 653
71.702 * * [simplify]: Extracting #7: cost 1 inf + 1382
71.703 * * [simplify]: Extracting #8: cost 0 inf + 1544
71.703 * [simplify]: Simplified to (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
71.703 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.704 * * * * [progress]: [ 11 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.704 * [simplify]: Simplifying (sqrt (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
71.704 * * [simplify]: iters left: 6 (8 enodes)
71.709 * * [simplify]: iters left: 5 (26 enodes)
71.719 * * [simplify]: iters left: 4 (40 enodes)
71.732 * * [simplify]: iters left: 3 (41 enodes)
71.742 * * [simplify]: Extracting #0: cost 1 inf + 0
71.742 * * [simplify]: Extracting #1: cost 4 inf + 0
71.742 * * [simplify]: Extracting #2: cost 9 inf + 0
71.742 * * [simplify]: Extracting #3: cost 12 inf + 1
71.742 * * [simplify]: Extracting #4: cost 12 inf + 2
71.743 * * [simplify]: Extracting #5: cost 5 inf + 614
71.743 * * [simplify]: Extracting #6: cost 0 inf + 1384
71.744 * [simplify]: Simplified to (fabs (cbrt (- 1 k)))
71.744 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (fabs (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.744 * * * * [progress]: [ 12 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.744 * [simplify]: Simplifying (/ (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (cbrt 1))
71.744 * * [simplify]: iters left: 6 (9 enodes)
71.751 * * [simplify]: iters left: 5 (31 enodes)
71.761 * * [simplify]: iters left: 4 (44 enodes)
71.774 * * [simplify]: iters left: 3 (45 enodes)
71.786 * * [simplify]: Extracting #0: cost 1 inf + 0
71.786 * * [simplify]: Extracting #1: cost 4 inf + 0
71.786 * * [simplify]: Extracting #2: cost 6 inf + 1
71.786 * * [simplify]: Extracting #3: cost 9 inf + 1
71.786 * * [simplify]: Extracting #4: cost 12 inf + 1
71.786 * * [simplify]: Extracting #5: cost 11 inf + 43
71.786 * * [simplify]: Extracting #6: cost 6 inf + 572
71.787 * * [simplify]: Extracting #7: cost 0 inf + 1544
71.787 * [simplify]: Simplified to (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
71.787 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.788 * * * * [progress]: [ 13 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.788 * [simplify]: Simplifying (/ (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (sqrt 1))
71.788 * * [simplify]: iters left: 6 (9 enodes)
71.792 * * [simplify]: iters left: 5 (31 enodes)
71.800 * * [simplify]: iters left: 4 (44 enodes)
71.807 * * [simplify]: iters left: 3 (45 enodes)
71.813 * * [simplify]: Extracting #0: cost 1 inf + 0
71.813 * * [simplify]: Extracting #1: cost 4 inf + 0
71.813 * * [simplify]: Extracting #2: cost 6 inf + 1
71.813 * * [simplify]: Extracting #3: cost 9 inf + 1
71.813 * * [simplify]: Extracting #4: cost 12 inf + 1
71.813 * * [simplify]: Extracting #5: cost 11 inf + 43
71.813 * * [simplify]: Extracting #6: cost 6 inf + 572
71.814 * * [simplify]: Extracting #7: cost 0 inf + 1544
71.814 * [simplify]: Simplified to (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
71.814 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.814 * * * * [progress]: [ 14 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.814 * [simplify]: Simplifying (/ (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 1)
71.814 * * [simplify]: iters left: 6 (8 enodes)
71.817 * * [simplify]: iters left: 5 (26 enodes)
71.822 * * [simplify]: iters left: 4 (39 enodes)
71.833 * * [simplify]: iters left: 3 (40 enodes)
71.843 * * [simplify]: Extracting #0: cost 1 inf + 0
71.844 * * [simplify]: Extracting #1: cost 4 inf + 0
71.844 * * [simplify]: Extracting #2: cost 6 inf + 1
71.844 * * [simplify]: Extracting #3: cost 9 inf + 1
71.844 * * [simplify]: Extracting #4: cost 12 inf + 1
71.844 * * [simplify]: Extracting #5: cost 12 inf + 2
71.844 * * [simplify]: Extracting #6: cost 6 inf + 653
71.844 * * [simplify]: Extracting #7: cost 1 inf + 1382
71.845 * * [simplify]: Extracting #8: cost 0 inf + 1544
71.845 * [simplify]: Simplified to (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
71.845 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.846 * * * * [progress]: [ 15 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.846 * [simplify]: Simplifying (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (cbrt 1))
71.846 * * [simplify]: iters left: 6 (9 enodes)
71.852 * * [simplify]: iters left: 5 (31 enodes)
71.858 * * [simplify]: iters left: 4 (45 enodes)
71.865 * * [simplify]: iters left: 3 (46 enodes)
71.871 * * [simplify]: Extracting #0: cost 1 inf + 0
71.871 * * [simplify]: Extracting #1: cost 5 inf + 0
71.871 * * [simplify]: Extracting #2: cost 8 inf + 1
71.871 * * [simplify]: Extracting #3: cost 12 inf + 1
71.871 * * [simplify]: Extracting #4: cost 11 inf + 43
71.871 * * [simplify]: Extracting #5: cost 6 inf + 572
71.871 * * [simplify]: Extracting #6: cost 0 inf + 1384
71.872 * [simplify]: Simplified to (fabs (cbrt (- 1 k)))
71.872 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.872 * * * * [progress]: [ 16 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.872 * [simplify]: Simplifying (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (sqrt 1))
71.872 * * [simplify]: iters left: 6 (9 enodes)
71.876 * * [simplify]: iters left: 5 (31 enodes)
71.882 * * [simplify]: iters left: 4 (45 enodes)
71.894 * * [simplify]: iters left: 3 (46 enodes)
71.907 * * [simplify]: Extracting #0: cost 1 inf + 0
71.907 * * [simplify]: Extracting #1: cost 5 inf + 0
71.907 * * [simplify]: Extracting #2: cost 8 inf + 1
71.907 * * [simplify]: Extracting #3: cost 12 inf + 1
71.907 * * [simplify]: Extracting #4: cost 11 inf + 43
71.907 * * [simplify]: Extracting #5: cost 6 inf + 572
71.908 * * [simplify]: Extracting #6: cost 0 inf + 1384
71.908 * [simplify]: Simplified to (fabs (cbrt (- 1 k)))
71.908 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (sqrt 1))) (fabs (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.908 * * * * [progress]: [ 17 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.909 * [simplify]: Simplifying (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 1)
71.909 * * [simplify]: iters left: 6 (8 enodes)
71.912 * * [simplify]: iters left: 5 (26 enodes)
71.919 * * [simplify]: iters left: 4 (40 enodes)
71.926 * * [simplify]: iters left: 3 (41 enodes)
71.932 * * [simplify]: Extracting #0: cost 1 inf + 0
71.932 * * [simplify]: Extracting #1: cost 5 inf + 0
71.932 * * [simplify]: Extracting #2: cost 8 inf + 1
71.932 * * [simplify]: Extracting #3: cost 12 inf + 1
71.932 * * [simplify]: Extracting #4: cost 12 inf + 2
71.932 * * [simplify]: Extracting #5: cost 5 inf + 614
71.932 * * [simplify]: Extracting #6: cost 0 inf + 1384
71.932 * [simplify]: Simplified to (fabs (cbrt (- 1 k)))
71.933 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 1)) (fabs (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.933 * * * * [progress]: [ 18 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.933 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 1)) (cbrt 1))
71.933 * * [simplify]: iters left: 6 (7 enodes)
71.936 * * [simplify]: iters left: 5 (27 enodes)
71.941 * * [simplify]: iters left: 4 (32 enodes)
71.948 * * [simplify]: Extracting #0: cost 1 inf + 0
71.948 * * [simplify]: Extracting #1: cost 4 inf + 0
71.948 * * [simplify]: Extracting #2: cost 6 inf + 1
71.948 * * [simplify]: Extracting #3: cost 1 inf + 371
71.948 * * [simplify]: Extracting #4: cost 0 inf + 412
71.949 * [simplify]: Simplified to (cbrt (- 1 k))
71.949 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (* (cbrt 1) (cbrt 1))) (* (cbrt 1) (cbrt 1)))) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.949 * * * * [progress]: [ 19 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.949 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 1)) (sqrt 1))
71.949 * * [simplify]: iters left: 6 (8 enodes)
71.957 * * [simplify]: iters left: 5 (30 enodes)
71.962 * * [simplify]: iters left: 4 (35 enodes)
71.966 * * [simplify]: Extracting #0: cost 1 inf + 0
71.966 * * [simplify]: Extracting #1: cost 4 inf + 0
71.966 * * [simplify]: Extracting #2: cost 6 inf + 1
71.966 * * [simplify]: Extracting #3: cost 1 inf + 371
71.966 * * [simplify]: Extracting #4: cost 0 inf + 412
71.966 * [simplify]: Simplified to (cbrt (- 1 k))
71.966 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (* (cbrt 1) (cbrt 1))) (sqrt 1))) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.967 * * * * [progress]: [ 20 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (* (cbrt 1) (cbrt 1))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 1)) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.967 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 1)) 1)
71.967 * * [simplify]: iters left: 6 (7 enodes)
71.970 * * [simplify]: iters left: 5 (25 enodes)
71.973 * * [simplify]: iters left: 4 (30 enodes)
71.977 * * [simplify]: Extracting #0: cost 1 inf + 0
71.977 * * [simplify]: Extracting #1: cost 4 inf + 0
71.977 * * [simplify]: Extracting #2: cost 6 inf + 1
71.977 * * [simplify]: Extracting #3: cost 2 inf + 249
71.977 * * [simplify]: Extracting #4: cost 0 inf + 412
71.978 * [simplify]: Simplified to (cbrt (- 1 k))
71.978 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (* (cbrt 1) (cbrt 1))) 1)) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
71.978 * * * * [progress]: [ 21 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
71.978 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 1)) (cbrt 1))
71.978 * * [simplify]: iters left: 6 (8 enodes)
71.983 * * [simplify]: iters left: 5 (30 enodes)
71.992 * * [simplify]: iters left: 4 (35 enodes)
72.000 * * [simplify]: Extracting #0: cost 1 inf + 0
72.000 * * [simplify]: Extracting #1: cost 4 inf + 0
72.000 * * [simplify]: Extracting #2: cost 6 inf + 1
72.000 * * [simplify]: Extracting #3: cost 1 inf + 371
72.001 * * [simplify]: Extracting #4: cost 0 inf + 412
72.001 * [simplify]: Simplified to (cbrt (- 1 k))
72.001 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (sqrt 1)) (* (cbrt 1) (cbrt 1)))) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
72.001 * * * * [progress]: [ 22 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (sqrt 1)) (sqrt 1))) (/ (/ (cbrt (- 1 k)) (sqrt 1)) (sqrt 1))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.002 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 1)) (sqrt 1))
72.002 * * [simplify]: iters left: 6 (7 enodes)
72.007 * * [simplify]: iters left: 5 (27 enodes)
72.015 * * [simplify]: iters left: 4 (32 enodes)
72.023 * * [simplify]: Extracting #0: cost 1 inf + 0
72.023 * * [simplify]: Extracting #1: cost 4 inf + 0
72.023 * * [simplify]: Extracting #2: cost 6 inf + 1
72.023 * * [simplify]: Extracting #3: cost 1 inf + 371
72.023 * * [simplify]: Extracting #4: cost 0 inf + 412
72.024 * [simplify]: Simplified to (cbrt (- 1 k))
72.024 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (sqrt 1)) (sqrt 1))) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
72.024 * * * * [progress]: [ 23 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (sqrt 1)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 1)) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.024 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 1)) 1)
72.024 * * [simplify]: iters left: 6 (7 enodes)
72.030 * * [simplify]: iters left: 5 (25 enodes)
72.040 * * [simplify]: iters left: 4 (30 enodes)
72.048 * * [simplify]: Extracting #0: cost 1 inf + 0
72.048 * * [simplify]: Extracting #1: cost 4 inf + 0
72.048 * * [simplify]: Extracting #2: cost 6 inf + 1
72.048 * * [simplify]: Extracting #3: cost 2 inf + 249
72.048 * * [simplify]: Extracting #4: cost 0 inf + 412
72.048 * [simplify]: Simplified to (cbrt (- 1 k))
72.048 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (sqrt 1)) 1)) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
72.049 * * * * [progress]: [ 24 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) 1) (* (cbrt 1) (cbrt 1)))) (/ (/ (cbrt (- 1 k)) 1) (cbrt 1))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.049 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 1) (cbrt 1))
72.049 * * [simplify]: iters left: 6 (7 enodes)
72.054 * * [simplify]: iters left: 5 (25 enodes)
72.060 * * [simplify]: iters left: 4 (30 enodes)
72.068 * * [simplify]: Extracting #0: cost 1 inf + 0
72.068 * * [simplify]: Extracting #1: cost 4 inf + 0
72.068 * * [simplify]: Extracting #2: cost 6 inf + 1
72.068 * * [simplify]: Extracting #3: cost 2 inf + 249
72.068 * * [simplify]: Extracting #4: cost 0 inf + 412
72.069 * [simplify]: Simplified to (cbrt (- 1 k))
72.069 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) 1) (* (cbrt 1) (cbrt 1)))) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
72.069 * * * * [progress]: [ 25 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) 1) (sqrt 1))) (/ (/ (cbrt (- 1 k)) 1) (sqrt 1))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.069 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 1) (sqrt 1))
72.069 * * [simplify]: iters left: 6 (7 enodes)
72.074 * * [simplify]: iters left: 5 (25 enodes)
72.078 * * [simplify]: iters left: 4 (30 enodes)
72.082 * * [simplify]: Extracting #0: cost 1 inf + 0
72.082 * * [simplify]: Extracting #1: cost 4 inf + 0
72.082 * * [simplify]: Extracting #2: cost 6 inf + 1
72.082 * * [simplify]: Extracting #3: cost 2 inf + 249
72.082 * * [simplify]: Extracting #4: cost 0 inf + 412
72.082 * [simplify]: Simplified to (cbrt (- 1 k))
72.083 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) 1) (sqrt 1))) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
72.083 * * * * [progress]: [ 26 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) 1) 1)) (/ (/ (cbrt (- 1 k)) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.083 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 1) 1)
72.083 * * [simplify]: iters left: 6 (6 enodes)
72.085 * * [simplify]: iters left: 5 (18 enodes)
72.088 * * [simplify]: iters left: 4 (25 enodes)
72.092 * * [simplify]: Extracting #0: cost 1 inf + 0
72.092 * * [simplify]: Extracting #1: cost 4 inf + 0
72.092 * * [simplify]: Extracting #2: cost 6 inf + 1
72.092 * * [simplify]: Extracting #3: cost 1 inf + 371
72.092 * * [simplify]: Extracting #4: cost 0 inf + 412
72.092 * [simplify]: Simplified to (cbrt (- 1 k))
72.092 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) 1) 1)) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
72.092 * * * * [progress]: [ 27 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (cbrt 1))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.092 * [simplify]: Simplifying (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (cbrt 1))
72.092 * * [simplify]: iters left: 6 (8 enodes)
72.096 * * [simplify]: iters left: 5 (30 enodes)
72.101 * * [simplify]: iters left: 4 (41 enodes)
72.107 * * [simplify]: iters left: 3 (42 enodes)
72.112 * * [simplify]: Extracting #0: cost 1 inf + 0
72.112 * * [simplify]: Extracting #1: cost 5 inf + 0
72.112 * * [simplify]: Extracting #2: cost 7 inf + 1
72.112 * * [simplify]: Extracting #3: cost 10 inf + 1
72.113 * * [simplify]: Extracting #4: cost 7 inf + 127
72.113 * * [simplify]: Extracting #5: cost 2 inf + 736
72.113 * * [simplify]: Extracting #6: cost 0 inf + 1060
72.113 * [simplify]: Simplified to (* (cbrt (- 1 k)) (cbrt (- 1 k)))
72.113 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
72.113 * * * * [progress]: [ 28 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 1))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.114 * [simplify]: Simplifying (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 1))
72.114 * * [simplify]: iters left: 6 (8 enodes)
72.118 * * [simplify]: iters left: 5 (30 enodes)
72.123 * * [simplify]: iters left: 4 (41 enodes)
72.129 * * [simplify]: iters left: 3 (42 enodes)
72.135 * * [simplify]: Extracting #0: cost 1 inf + 0
72.135 * * [simplify]: Extracting #1: cost 5 inf + 0
72.135 * * [simplify]: Extracting #2: cost 7 inf + 1
72.135 * * [simplify]: Extracting #3: cost 10 inf + 1
72.135 * * [simplify]: Extracting #4: cost 7 inf + 127
72.136 * * [simplify]: Extracting #5: cost 2 inf + 736
72.136 * * [simplify]: Extracting #6: cost 0 inf + 1060
72.136 * [simplify]: Simplified to (* (cbrt (- 1 k)) (cbrt (- 1 k)))
72.136 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
72.136 * * * * [progress]: [ 29 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.136 * [simplify]: Simplifying (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)
72.137 * * [simplify]: iters left: 6 (7 enodes)
72.139 * * [simplify]: iters left: 5 (23 enodes)
72.143 * * [simplify]: iters left: 4 (36 enodes)
72.151 * * [simplify]: iters left: 3 (37 enodes)
72.156 * * [simplify]: Extracting #0: cost 1 inf + 0
72.156 * * [simplify]: Extracting #1: cost 5 inf + 0
72.156 * * [simplify]: Extracting #2: cost 7 inf + 1
72.156 * * [simplify]: Extracting #3: cost 10 inf + 1
72.156 * * [simplify]: Extracting #4: cost 9 inf + 43
72.156 * * [simplify]: Extracting #5: cost 3 inf + 614
72.156 * * [simplify]: Extracting #6: cost 1 inf + 898
72.156 * * [simplify]: Extracting #7: cost 0 inf + 1060
72.157 * [simplify]: Simplified to (* (cbrt (- 1 k)) (cbrt (- 1 k)))
72.157 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
72.157 * * * * [progress]: [ 30 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 1) (cbrt 1)))) (/ (/ 1 1) (cbrt 1))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.157 * [simplify]: Simplifying (/ (/ 1 1) (cbrt 1))
72.157 * * [simplify]: iters left: 4 (4 enodes)
72.161 * * [simplify]: iters left: 3 (12 enodes)
72.163 * * [simplify]: iters left: 2 (14 enodes)
72.165 * * [simplify]: Extracting #0: cost 1 inf + 0
72.165 * * [simplify]: Extracting #1: cost 0 inf + 1
72.165 * [simplify]: Simplified to 1
72.165 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 1) (cbrt 1)))) 1) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
72.165 * * * * [progress]: [ 31 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 1))) (/ (/ 1 1) (sqrt 1))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.165 * [simplify]: Simplifying (/ (/ 1 1) (sqrt 1))
72.165 * * [simplify]: iters left: 4 (4 enodes)
72.170 * * [simplify]: iters left: 3 (12 enodes)
72.173 * * [simplify]: iters left: 2 (14 enodes)
72.176 * * [simplify]: Extracting #0: cost 1 inf + 0
72.176 * * [simplify]: Extracting #1: cost 0 inf + 1
72.176 * [simplify]: Simplified to 1
72.176 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 1))) 1) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
72.177 * * * * [progress]: [ 32 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (/ 1 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.177 * [simplify]: Simplifying (/ (/ 1 1) 1)
72.177 * * [simplify]: iters left: 4 (3 enodes)
72.179 * * [simplify]: iters left: 3 (7 enodes)
72.181 * * [simplify]: iters left: 2 (9 enodes)
72.184 * * [simplify]: Extracting #0: cost 1 inf + 0
72.184 * * [simplify]: Extracting #1: cost 0 inf + 1
72.184 * [simplify]: Simplified to 1
72.184 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (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))))
72.184 * * * * [progress]: [ 33 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) 1) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.184 * [simplify]: Simplifying (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)
72.185 * * [simplify]: iters left: 6 (7 enodes)
72.189 * * [simplify]: iters left: 5 (23 enodes)
72.196 * * [simplify]: iters left: 4 (36 enodes)
72.202 * * [simplify]: iters left: 3 (37 enodes)
72.207 * * [simplify]: Extracting #0: cost 1 inf + 0
72.207 * * [simplify]: Extracting #1: cost 5 inf + 0
72.207 * * [simplify]: Extracting #2: cost 7 inf + 1
72.207 * * [simplify]: Extracting #3: cost 10 inf + 1
72.207 * * [simplify]: Extracting #4: cost 9 inf + 43
72.207 * * [simplify]: Extracting #5: cost 3 inf + 614
72.207 * * [simplify]: Extracting #6: cost 1 inf + 898
72.208 * * [simplify]: Extracting #7: cost 0 inf + 1060
72.208 * [simplify]: Simplified to (* (cbrt (- 1 k)) (cbrt (- 1 k)))
72.208 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) 1) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
72.208 * * * * [progress]: [ 34 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ 1 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.208 * [simplify]: Simplifying (/ 1 1)
72.208 * * [simplify]: iters left: 2 (2 enodes)
72.209 * * [simplify]: iters left: 1 (6 enodes)
72.210 * * [simplify]: Extracting #0: cost 1 inf + 0
72.210 * * [simplify]: Extracting #1: cost 0 inf + 1
72.210 * [simplify]: Simplified to 1
72.210 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (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))))
72.210 * * * * [progress]: [ 35 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.210 * [simplify]: Simplifying (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
72.211 * * [simplify]: iters left: 6 (9 enodes)
72.213 * * [simplify]: iters left: 5 (35 enodes)
72.220 * * [simplify]: iters left: 4 (71 enodes)
72.241 * * [simplify]: iters left: 3 (111 enodes)
72.282 * * [simplify]: iters left: 2 (244 enodes)
72.389 * * [simplify]: Extracting #0: cost 1 inf + 0
72.389 * * [simplify]: Extracting #1: cost 17 inf + 0
72.389 * * [simplify]: Extracting #2: cost 101 inf + 2
72.390 * * [simplify]: Extracting #3: cost 132 inf + 5
72.391 * * [simplify]: Extracting #4: cost 139 inf + 8
72.392 * * [simplify]: Extracting #5: cost 132 inf + 1155
72.396 * * [simplify]: Extracting #6: cost 89 inf + 10634
72.404 * * [simplify]: Extracting #7: cost 49 inf + 26069
72.419 * * [simplify]: Extracting #8: cost 0 inf + 54754
72.428 * * [simplify]: Extracting #9: cost 0 inf + 54372
72.436 * [simplify]: Simplified to (pow n (* (cbrt (- 1 k)) (cbrt (- 1 k))))
72.436 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (* (pow n (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (pow (* 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))))
72.436 * * * * [progress]: [ 36 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) 1) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.436 * * * * [progress]: [ 37 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (exp (log (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))))>
72.436 * * * * [progress]: [ 38 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (log (exp (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))))>
72.436 * * * * [progress]: [ 39 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.437 * * * * [progress]: [ 40 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.437 * * * * [progress]: [ 41 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.437 * * * * [progress]: [ 42 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 1 (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))))>
72.437 * * * * [progress]: [ 43 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
72.437 * * * * [progress]: [ 44 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (posit16->real (real->posit16 (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))))>
72.437 * * * * [progress]: [ 45 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
72.437 * * * * [progress]: [ 46 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
72.437 * * * * [progress]: [ 47 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
72.437 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
72.437 * * [simplify]: iters left: 6 (14 enodes)
72.442 * * [simplify]: iters left: 5 (60 enodes)
72.453 * * [simplify]: iters left: 4 (108 enodes)
72.479 * * [simplify]: iters left: 3 (255 enodes)
72.586 * * [simplify]: Extracting #0: cost 1 inf + 0
72.586 * * [simplify]: Extracting #1: cost 34 inf + 0
72.587 * * [simplify]: Extracting #2: cost 122 inf + 73
72.588 * * [simplify]: Extracting #3: cost 134 inf + 2876
72.594 * * [simplify]: Extracting #4: cost 49 inf + 20493
72.606 * * [simplify]: Extracting #5: cost 4 inf + 30853
72.619 * * [simplify]: Extracting #6: cost 0 inf + 31808
72.633 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))
72.633 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))) (sqrt k))))
72.634 * * * * [progress]: [ 48 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
72.634 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
72.634 * * [simplify]: iters left: 6 (13 enodes)
72.643 * * [simplify]: iters left: 5 (58 enodes)
72.664 * * [simplify]: iters left: 4 (101 enodes)
72.704 * * [simplify]: iters left: 3 (211 enodes)
72.773 * * [simplify]: Extracting #0: cost 1 inf + 0
72.773 * * [simplify]: Extracting #1: cost 28 inf + 0
72.773 * * [simplify]: Extracting #2: cost 110 inf + 73
72.774 * * [simplify]: Extracting #3: cost 127 inf + 1744
72.775 * * [simplify]: Extracting #4: cost 73 inf + 10230
72.779 * * [simplify]: Extracting #5: cost 26 inf + 20266
72.784 * * [simplify]: Extracting #6: cost 6 inf + 24692
72.792 * * [simplify]: Extracting #7: cost 0 inf + 26084
72.797 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))
72.797 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (sqrt k))))
72.798 * * * * [progress]: [ 49 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
72.798 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
72.798 * * [simplify]: iters left: 6 (12 enodes)
72.802 * * [simplify]: iters left: 5 (57 enodes)
72.814 * * [simplify]: iters left: 4 (111 enodes)
72.851 * * [simplify]: iters left: 3 (214 enodes)
72.941 * * [simplify]: iters left: 2 (472 enodes)
73.137 * * [simplify]: Extracting #0: cost 1 inf + 0
73.137 * * [simplify]: Extracting #1: cost 40 inf + 0
73.138 * * [simplify]: Extracting #2: cost 158 inf + 4
73.140 * * [simplify]: Extracting #3: cost 193 inf + 1443
73.149 * * [simplify]: Extracting #4: cost 88 inf + 19136
73.161 * * [simplify]: Extracting #5: cost 7 inf + 36795
73.171 * * [simplify]: Extracting #6: cost 0 inf + 38243
73.180 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
73.180 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (sqrt k))))
73.181 * * * * [progress]: [ 50 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
73.181 * * * * [progress]: [ 51 / 184 ] simplifiying candidate #<alt (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 (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
73.181 * [simplify]: Simplifying (* n (* 2 PI))
73.181 * * [simplify]: iters left: 4 (5 enodes)
73.183 * * [simplify]: iters left: 3 (19 enodes)
73.189 * * [simplify]: iters left: 2 (27 enodes)
73.198 * * [simplify]: iters left: 1 (32 enodes)
73.206 * * [simplify]: Extracting #0: cost 1 inf + 0
73.206 * * [simplify]: Extracting #1: cost 8 inf + 0
73.206 * * [simplify]: Extracting #2: cost 7 inf + 45
73.206 * * [simplify]: Extracting #3: cost 0 inf + 421
73.207 * [simplify]: Simplified to (* (* PI 2) n)
73.207 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))
73.207 * * * * [progress]: [ 52 / 184 ] simplifiying candidate #<alt (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 (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
73.207 * [simplify]: Simplifying (* n (* 2 PI))
73.207 * * [simplify]: iters left: 4 (5 enodes)
73.210 * * [simplify]: iters left: 3 (19 enodes)
73.217 * * [simplify]: iters left: 2 (27 enodes)
73.226 * * [simplify]: iters left: 1 (32 enodes)
73.239 * * [simplify]: Extracting #0: cost 1 inf + 0
73.239 * * [simplify]: Extracting #1: cost 8 inf + 0
73.239 * * [simplify]: Extracting #2: cost 7 inf + 45
73.240 * * [simplify]: Extracting #3: cost 0 inf + 421
73.240 * [simplify]: Simplified to (* (* PI 2) n)
73.240 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))
73.240 * * * * [progress]: [ 53 / 184 ] simplifiying candidate #<alt (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 (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
73.241 * [simplify]: Simplifying (* n (* 2 PI))
73.241 * * [simplify]: iters left: 4 (5 enodes)
73.244 * * [simplify]: iters left: 3 (19 enodes)
73.250 * * [simplify]: iters left: 2 (27 enodes)
73.254 * * [simplify]: iters left: 1 (32 enodes)
73.259 * * [simplify]: Extracting #0: cost 1 inf + 0
73.259 * * [simplify]: Extracting #1: cost 8 inf + 0
73.259 * * [simplify]: Extracting #2: cost 7 inf + 45
73.260 * * [simplify]: Extracting #3: cost 0 inf + 421
73.260 * [simplify]: Simplified to (* (* PI 2) n)
73.260 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))
73.260 * * * * [progress]: [ 54 / 184 ] simplifiying candidate #<alt (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 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (sqrt k))))>
73.260 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
73.260 * * [simplify]: iters left: 5 (9 enodes)
73.265 * * [simplify]: iters left: 4 (37 enodes)
73.271 * * [simplify]: iters left: 3 (57 enodes)
73.287 * * [simplify]: iters left: 2 (93 enodes)
73.320 * * [simplify]: iters left: 1 (170 enodes)
73.364 * * [simplify]: Extracting #0: cost 1 inf + 0
73.364 * * [simplify]: Extracting #1: cost 13 inf + 0
73.365 * * [simplify]: Extracting #2: cost 59 inf + 1
73.365 * * [simplify]: Extracting #3: cost 78 inf + 176
73.367 * * [simplify]: Extracting #4: cost 40 inf + 3875
73.371 * * [simplify]: Extracting #5: cost 7 inf + 16988
73.377 * * [simplify]: Extracting #6: cost 0 inf + 20577
73.383 * * [simplify]: Extracting #7: cost 0 inf + 20336
73.389 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
73.389 * [simplify]: Simplified (2 2 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 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (sqrt k))))
73.389 * * * * [progress]: [ 55 / 184 ] simplifiying candidate #<alt (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) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
73.390 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
73.390 * * [simplify]: iters left: 6 (7 enodes)
73.395 * * [simplify]: iters left: 5 (32 enodes)
73.409 * * [simplify]: iters left: 4 (47 enodes)
73.426 * * [simplify]: iters left: 3 (53 enodes)
73.444 * * [simplify]: iters left: 2 (60 enodes)
73.461 * * [simplify]: Extracting #0: cost 1 inf + 0
73.462 * * [simplify]: Extracting #1: cost 3 inf + 0
73.462 * * [simplify]: Extracting #2: cost 11 inf + 0
73.462 * * [simplify]: Extracting #3: cost 17 inf + 3
73.462 * * [simplify]: Extracting #4: cost 14 inf + 129
73.462 * * [simplify]: Extracting #5: cost 3 inf + 794
73.463 * * [simplify]: Extracting #6: cost 0 inf + 1162
73.464 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
73.464 * [simplify]: Simplified (2 2 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) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (sqrt k))))
73.464 * * * * [progress]: [ 56 / 184 ] simplifiying candidate #<alt (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)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
73.464 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
73.465 * * [simplify]: iters left: 6 (7 enodes)
73.470 * * [simplify]: iters left: 5 (32 enodes)
73.481 * * [simplify]: iters left: 4 (47 enodes)
73.495 * * [simplify]: iters left: 3 (53 enodes)
73.517 * * [simplify]: iters left: 2 (60 enodes)
73.534 * * [simplify]: Extracting #0: cost 1 inf + 0
73.534 * * [simplify]: Extracting #1: cost 3 inf + 0
73.534 * * [simplify]: Extracting #2: cost 11 inf + 0
73.534 * * [simplify]: Extracting #3: cost 17 inf + 3
73.534 * * [simplify]: Extracting #4: cost 14 inf + 129
73.535 * * [simplify]: Extracting #5: cost 3 inf + 794
73.535 * * [simplify]: Extracting #6: cost 0 inf + 1082
73.536 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
73.536 * [simplify]: Simplified (2 2 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)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) (sqrt k))))
73.536 * * * * [progress]: [ 57 / 184 ] simplifiying candidate #<alt (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) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k))))>
73.537 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
73.537 * * [simplify]: iters left: 6 (8 enodes)
73.542 * * [simplify]: iters left: 5 (32 enodes)
73.553 * * [simplify]: iters left: 4 (41 enodes)
73.566 * * [simplify]: Extracting #0: cost 1 inf + 0
73.566 * * [simplify]: Extracting #1: cost 4 inf + 0
73.566 * * [simplify]: Extracting #2: cost 8 inf + 0
73.566 * * [simplify]: Extracting #3: cost 9 inf + 163
73.566 * * [simplify]: Extracting #4: cost 13 inf + 164
73.566 * * [simplify]: Extracting #5: cost 10 inf + 249
73.567 * * [simplify]: Extracting #6: cost 3 inf + 986
73.567 * * [simplify]: Extracting #7: cost 0 inf + 1474
73.568 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
73.568 * [simplify]: Simplified (2 2 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) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k))))
73.568 * * * * [progress]: [ 58 / 184 ] simplifiying candidate #<alt (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) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k))))>
73.568 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
73.569 * * [simplify]: iters left: 6 (8 enodes)
73.574 * * [simplify]: iters left: 5 (32 enodes)
73.585 * * [simplify]: iters left: 4 (41 enodes)
73.599 * * [simplify]: Extracting #0: cost 1 inf + 0
73.599 * * [simplify]: Extracting #1: cost 4 inf + 0
73.599 * * [simplify]: Extracting #2: cost 8 inf + 0
73.599 * * [simplify]: Extracting #3: cost 9 inf + 83
73.599 * * [simplify]: Extracting #4: cost 13 inf + 84
73.599 * * [simplify]: Extracting #5: cost 10 inf + 169
73.599 * * [simplify]: Extracting #6: cost 3 inf + 866
73.600 * * [simplify]: Extracting #7: cost 0 inf + 1314
73.600 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
73.600 * [simplify]: Simplified (2 2 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) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k))))
73.600 * * * * [progress]: [ 59 / 184 ] simplifiying candidate #<alt (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) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (sqrt k))))>
73.600 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
73.600 * * [simplify]: iters left: 6 (7 enodes)
73.603 * * [simplify]: iters left: 5 (29 enodes)
73.609 * * [simplify]: iters left: 4 (38 enodes)
73.615 * * [simplify]: Extracting #0: cost 1 inf + 0
73.615 * * [simplify]: Extracting #1: cost 4 inf + 0
73.615 * * [simplify]: Extracting #2: cost 5 inf + 1
73.615 * * [simplify]: Extracting #3: cost 9 inf + 1
73.615 * * [simplify]: Extracting #4: cost 13 inf + 2
73.615 * * [simplify]: Extracting #5: cost 12 inf + 4
73.615 * * [simplify]: Extracting #6: cost 2 inf + 746
73.616 * * [simplify]: Extracting #7: cost 0 inf + 1152
73.616 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
73.616 * [simplify]: Simplified (2 2 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) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (sqrt k))))
73.616 * * * * [progress]: [ 60 / 184 ] simplifiying candidate #<alt (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)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k))))>
73.616 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
73.616 * * [simplify]: iters left: 6 (8 enodes)
73.619 * * [simplify]: iters left: 5 (32 enodes)
73.625 * * [simplify]: iters left: 4 (41 enodes)
73.633 * * [simplify]: Extracting #0: cost 1 inf + 0
73.633 * * [simplify]: Extracting #1: cost 4 inf + 0
73.633 * * [simplify]: Extracting #2: cost 8 inf + 0
73.633 * * [simplify]: Extracting #3: cost 9 inf + 163
73.633 * * [simplify]: Extracting #4: cost 13 inf + 164
73.633 * * [simplify]: Extracting #5: cost 10 inf + 249
73.633 * * [simplify]: Extracting #6: cost 3 inf + 906
73.634 * * [simplify]: Extracting #7: cost 0 inf + 1314
73.634 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
73.634 * [simplify]: Simplified (2 2 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)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k))))
73.634 * * * * [progress]: [ 61 / 184 ] simplifiying candidate #<alt (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)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k))))>
73.634 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
73.634 * * [simplify]: iters left: 6 (8 enodes)
73.640 * * [simplify]: iters left: 5 (32 enodes)
73.648 * * [simplify]: iters left: 4 (41 enodes)
73.661 * * [simplify]: Extracting #0: cost 1 inf + 0
73.661 * * [simplify]: Extracting #1: cost 4 inf + 0
73.661 * * [simplify]: Extracting #2: cost 8 inf + 0
73.661 * * [simplify]: Extracting #3: cost 9 inf + 83
73.662 * * [simplify]: Extracting #4: cost 13 inf + 84
73.662 * * [simplify]: Extracting #5: cost 10 inf + 169
73.662 * * [simplify]: Extracting #6: cost 3 inf + 786
73.662 * * [simplify]: Extracting #7: cost 0 inf + 1154
73.663 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
73.663 * [simplify]: Simplified (2 2 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)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k))))
73.663 * * * * [progress]: [ 62 / 184 ] simplifiying candidate #<alt (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)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (sqrt k))))>
73.664 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
73.664 * * [simplify]: iters left: 6 (7 enodes)
73.668 * * [simplify]: iters left: 5 (29 enodes)
73.674 * * [simplify]: iters left: 4 (38 enodes)
73.681 * * [simplify]: Extracting #0: cost 1 inf + 0
73.681 * * [simplify]: Extracting #1: cost 4 inf + 0
73.681 * * [simplify]: Extracting #2: cost 5 inf + 1
73.681 * * [simplify]: Extracting #3: cost 9 inf + 1
73.681 * * [simplify]: Extracting #4: cost 13 inf + 2
73.681 * * [simplify]: Extracting #5: cost 12 inf + 4
73.681 * * [simplify]: Extracting #6: cost 2 inf + 666
73.681 * * [simplify]: Extracting #7: cost 0 inf + 992
73.682 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
73.682 * [simplify]: Simplified (2 2 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)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (sqrt k))))
73.682 * * * * [progress]: [ 63 / 184 ] simplifiying candidate #<alt (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))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))) (sqrt k))))>
73.682 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
73.682 * * [simplify]: iters left: 6 (8 enodes)
73.685 * * [simplify]: iters left: 5 (30 enodes)
73.691 * * [simplify]: iters left: 4 (37 enodes)
73.698 * * [simplify]: Extracting #0: cost 1 inf + 0
73.698 * * [simplify]: Extracting #1: cost 6 inf + 0
73.698 * * [simplify]: Extracting #2: cost 12 inf + 0
73.698 * * [simplify]: Extracting #3: cost 11 inf + 405
73.698 * * [simplify]: Extracting #4: cost 10 inf + 407
73.698 * * [simplify]: Extracting #5: cost 4 inf + 1220
73.698 * * [simplify]: Extracting #6: cost 0 inf + 1869
73.698 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
73.699 * [simplify]: Simplified (2 2 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))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (sqrt k))))
73.699 * * * * [progress]: [ 64 / 184 ] simplifiying candidate #<alt (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))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
73.699 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
73.699 * * [simplify]: iters left: 6 (9 enodes)
73.705 * * [simplify]: iters left: 5 (33 enodes)
73.717 * * [simplify]: iters left: 4 (43 enodes)
73.731 * * [simplify]: iters left: 3 (45 enodes)
73.745 * * [simplify]: Extracting #0: cost 1 inf + 0
73.746 * * [simplify]: Extracting #1: cost 8 inf + 0
73.746 * * [simplify]: Extracting #2: cost 16 inf + 0
73.746 * * [simplify]: Extracting #3: cost 16 inf + 284
73.746 * * [simplify]: Extracting #4: cost 11 inf + 610
73.746 * * [simplify]: Extracting #5: cost 8 inf + 815
73.747 * * [simplify]: Extracting #6: cost 0 inf + 2517
73.748 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
73.748 * [simplify]: Simplified (2 2 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))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k))))
73.748 * * * * [progress]: [ 65 / 184 ] simplifiying candidate #<alt (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))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) (sqrt k))))>
73.749 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
73.749 * * [simplify]: iters left: 6 (8 enodes)
73.754 * * [simplify]: iters left: 5 (30 enodes)
73.764 * * [simplify]: iters left: 4 (40 enodes)
73.778 * * [simplify]: iters left: 3 (42 enodes)
73.785 * * [simplify]: Extracting #0: cost 1 inf + 0
73.785 * * [simplify]: Extracting #1: cost 8 inf + 0
73.785 * * [simplify]: Extracting #2: cost 12 inf + 82
73.785 * * [simplify]: Extracting #3: cost 13 inf + 405
73.785 * * [simplify]: Extracting #4: cost 12 inf + 407
73.786 * * [simplify]: Extracting #5: cost 5 inf + 1383
73.786 * * [simplify]: Extracting #6: cost 0 inf + 2195
73.786 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
73.786 * [simplify]: Simplified (2 2 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))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))) (sqrt k))))
73.787 * * * * [progress]: [ 66 / 184 ] simplifiying candidate #<alt (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))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
73.787 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
73.787 * * [simplify]: iters left: 6 (9 enodes)
73.790 * * [simplify]: iters left: 5 (33 enodes)
73.801 * * [simplify]: iters left: 4 (43 enodes)
73.816 * * [simplify]: iters left: 3 (45 enodes)
73.831 * * [simplify]: Extracting #0: cost 1 inf + 0
73.831 * * [simplify]: Extracting #1: cost 8 inf + 0
73.832 * * [simplify]: Extracting #2: cost 16 inf + 0
73.832 * * [simplify]: Extracting #3: cost 16 inf + 284
73.832 * * [simplify]: Extracting #4: cost 11 inf + 610
73.832 * * [simplify]: Extracting #5: cost 8 inf + 815
73.833 * * [simplify]: Extracting #6: cost 0 inf + 2517
73.834 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
73.834 * [simplify]: Simplified (2 2 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))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k))))
73.834 * * * * [progress]: [ 67 / 184 ] simplifiying candidate #<alt (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))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
73.834 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
73.834 * * [simplify]: iters left: 6 (8 enodes)
73.840 * * [simplify]: iters left: 5 (30 enodes)
73.848 * * [simplify]: iters left: 4 (35 enodes)
73.854 * * [simplify]: Extracting #0: cost 1 inf + 0
73.854 * * [simplify]: Extracting #1: cost 6 inf + 0
73.854 * * [simplify]: Extracting #2: cost 8 inf + 42
73.854 * * [simplify]: Extracting #3: cost 11 inf + 83
73.854 * * [simplify]: Extracting #4: cost 10 inf + 85
73.854 * * [simplify]: Extracting #5: cost 4 inf + 658
73.854 * * [simplify]: Extracting #6: cost 0 inf + 1227
73.854 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
73.854 * [simplify]: Simplified (2 2 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))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)) (sqrt k))))
73.855 * * * * [progress]: [ 68 / 184 ] simplifiying candidate #<alt (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))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) (sqrt k))))>
73.855 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
73.855 * * [simplify]: iters left: 6 (8 enodes)
73.858 * * [simplify]: iters left: 5 (30 enodes)
73.864 * * [simplify]: iters left: 4 (40 enodes)
73.870 * * [simplify]: iters left: 3 (42 enodes)
73.878 * * [simplify]: Extracting #0: cost 1 inf + 0
73.878 * * [simplify]: Extracting #1: cost 8 inf + 0
73.878 * * [simplify]: Extracting #2: cost 12 inf + 42
73.879 * * [simplify]: Extracting #3: cost 13 inf + 245
73.879 * * [simplify]: Extracting #4: cost 12 inf + 247
73.879 * * [simplify]: Extracting #5: cost 5 inf + 1143
73.880 * * [simplify]: Extracting #6: cost 0 inf + 1875
73.880 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
73.880 * [simplify]: Simplified (2 2 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))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))) (sqrt k))))
73.880 * * * * [progress]: [ 69 / 184 ] simplifiying candidate #<alt (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) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) (sqrt k))))>
73.881 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
73.881 * * [simplify]: iters left: 6 (8 enodes)
73.885 * * [simplify]: iters left: 5 (30 enodes)
73.896 * * [simplify]: iters left: 4 (40 enodes)
73.911 * * [simplify]: iters left: 3 (42 enodes)
73.924 * * [simplify]: Extracting #0: cost 1 inf + 0
73.924 * * [simplify]: Extracting #1: cost 8 inf + 0
73.924 * * [simplify]: Extracting #2: cost 11 inf + 203
73.924 * * [simplify]: Extracting #3: cost 13 inf + 405
73.924 * * [simplify]: Extracting #4: cost 12 inf + 407
73.925 * * [simplify]: Extracting #5: cost 3 inf + 1789
73.925 * * [simplify]: Extracting #6: cost 0 inf + 2195
73.925 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
73.925 * [simplify]: Simplified (2 2 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) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))) (sqrt k))))
73.925 * * * * [progress]: [ 70 / 184 ] simplifiying candidate #<alt (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) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) (sqrt k))))>
73.926 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
73.926 * * [simplify]: iters left: 6 (8 enodes)
73.928 * * [simplify]: iters left: 5 (30 enodes)
73.934 * * [simplify]: iters left: 4 (40 enodes)
73.941 * * [simplify]: iters left: 3 (42 enodes)
73.948 * * [simplify]: Extracting #0: cost 1 inf + 0
73.948 * * [simplify]: Extracting #1: cost 8 inf + 0
73.948 * * [simplify]: Extracting #2: cost 11 inf + 123
73.948 * * [simplify]: Extracting #3: cost 13 inf + 245
73.948 * * [simplify]: Extracting #4: cost 12 inf + 247
73.948 * * [simplify]: Extracting #5: cost 3 inf + 1509
73.949 * * [simplify]: Extracting #6: cost 0 inf + 1875
73.949 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
73.949 * [simplify]: Simplified (2 2 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) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))) (sqrt k))))
73.949 * * * * [progress]: [ 71 / 184 ] simplifiying candidate #<alt (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)) 2) 2)) (sqrt k))))>
73.949 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
73.949 * * [simplify]: iters left: 6 (7 enodes)
73.952 * * [simplify]: iters left: 5 (28 enodes)
73.961 * * [simplify]: iters left: 4 (35 enodes)
73.968 * * [simplify]: Extracting #0: cost 1 inf + 0
73.968 * * [simplify]: Extracting #1: cost 6 inf + 0
73.968 * * [simplify]: Extracting #2: cost 7 inf + 2
73.968 * * [simplify]: Extracting #3: cost 11 inf + 2
73.968 * * [simplify]: Extracting #4: cost 9 inf + 45
73.968 * * [simplify]: Extracting #5: cost 4 inf + 455
73.968 * * [simplify]: Extracting #6: cost 0 inf + 1066
73.969 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
73.969 * [simplify]: Simplified (2 2 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))))
73.969 * * * * [progress]: [ 72 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (sqrt k))))>
73.969 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
73.969 * * [simplify]: iters left: 6 (8 enodes)
73.972 * * [simplify]: iters left: 5 (30 enodes)
73.977 * * [simplify]: iters left: 4 (37 enodes)
73.984 * * [simplify]: Extracting #0: cost 1 inf + 0
73.984 * * [simplify]: Extracting #1: cost 6 inf + 0
73.984 * * [simplify]: Extracting #2: cost 12 inf + 0
73.984 * * [simplify]: Extracting #3: cost 11 inf + 405
73.984 * * [simplify]: Extracting #4: cost 10 inf + 407
73.984 * * [simplify]: Extracting #5: cost 4 inf + 1100
73.984 * * [simplify]: Extracting #6: cost 0 inf + 1629
73.985 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
73.985 * [simplify]: Simplified (2 2 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)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (sqrt k))))
73.985 * * * * [progress]: [ 73 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
73.985 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
73.985 * * [simplify]: iters left: 6 (9 enodes)
73.988 * * [simplify]: iters left: 5 (33 enodes)
73.995 * * [simplify]: iters left: 4 (43 enodes)
74.008 * * [simplify]: iters left: 3 (45 enodes)
74.024 * * [simplify]: Extracting #0: cost 1 inf + 0
74.024 * * [simplify]: Extracting #1: cost 8 inf + 0
74.024 * * [simplify]: Extracting #2: cost 16 inf + 0
74.024 * * [simplify]: Extracting #3: cost 16 inf + 284
74.024 * * [simplify]: Extracting #4: cost 11 inf + 610
74.025 * * [simplify]: Extracting #5: cost 8 inf + 775
74.025 * * [simplify]: Extracting #6: cost 0 inf + 2197
74.025 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
74.025 * [simplify]: Simplified (2 2 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)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k))))
74.025 * * * * [progress]: [ 74 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) (sqrt k))))>
74.026 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
74.026 * * [simplify]: iters left: 6 (8 enodes)
74.029 * * [simplify]: iters left: 5 (30 enodes)
74.035 * * [simplify]: iters left: 4 (40 enodes)
74.042 * * [simplify]: iters left: 3 (42 enodes)
74.051 * * [simplify]: Extracting #0: cost 1 inf + 0
74.051 * * [simplify]: Extracting #1: cost 8 inf + 0
74.051 * * [simplify]: Extracting #2: cost 12 inf + 82
74.051 * * [simplify]: Extracting #3: cost 13 inf + 405
74.051 * * [simplify]: Extracting #4: cost 12 inf + 407
74.051 * * [simplify]: Extracting #5: cost 5 inf + 1223
74.052 * * [simplify]: Extracting #6: cost 0 inf + 1875
74.052 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
74.052 * [simplify]: Simplified (2 2 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)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (sqrt k))))
74.052 * * * * [progress]: [ 75 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
74.052 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
74.052 * * [simplify]: iters left: 6 (9 enodes)
74.056 * * [simplify]: iters left: 5 (33 enodes)
74.062 * * [simplify]: iters left: 4 (43 enodes)
74.070 * * [simplify]: iters left: 3 (45 enodes)
74.078 * * [simplify]: Extracting #0: cost 1 inf + 0
74.078 * * [simplify]: Extracting #1: cost 8 inf + 0
74.078 * * [simplify]: Extracting #2: cost 16 inf + 0
74.078 * * [simplify]: Extracting #3: cost 16 inf + 284
74.078 * * [simplify]: Extracting #4: cost 11 inf + 610
74.078 * * [simplify]: Extracting #5: cost 8 inf + 775
74.079 * * [simplify]: Extracting #6: cost 0 inf + 2197
74.079 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
74.079 * [simplify]: Simplified (2 2 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)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k))))
74.079 * * * * [progress]: [ 76 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
74.080 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
74.080 * * [simplify]: iters left: 6 (8 enodes)
74.082 * * [simplify]: iters left: 5 (30 enodes)
74.089 * * [simplify]: iters left: 4 (35 enodes)
74.095 * * [simplify]: Extracting #0: cost 1 inf + 0
74.095 * * [simplify]: Extracting #1: cost 6 inf + 0
74.095 * * [simplify]: Extracting #2: cost 8 inf + 42
74.095 * * [simplify]: Extracting #3: cost 11 inf + 83
74.095 * * [simplify]: Extracting #4: cost 10 inf + 85
74.095 * * [simplify]: Extracting #5: cost 4 inf + 538
74.095 * * [simplify]: Extracting #6: cost 0 inf + 987
74.096 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
74.096 * [simplify]: Simplified (2 2 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)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) (sqrt k))))
74.096 * * * * [progress]: [ 77 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) (sqrt k))))>
74.096 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
74.096 * * [simplify]: iters left: 6 (8 enodes)
74.099 * * [simplify]: iters left: 5 (30 enodes)
74.109 * * [simplify]: iters left: 4 (40 enodes)
74.122 * * [simplify]: iters left: 3 (42 enodes)
74.139 * * [simplify]: Extracting #0: cost 1 inf + 0
74.139 * * [simplify]: Extracting #1: cost 8 inf + 0
74.139 * * [simplify]: Extracting #2: cost 12 inf + 42
74.140 * * [simplify]: Extracting #3: cost 13 inf + 245
74.140 * * [simplify]: Extracting #4: cost 12 inf + 247
74.140 * * [simplify]: Extracting #5: cost 5 inf + 983
74.141 * * [simplify]: Extracting #6: cost 0 inf + 1555
74.141 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
74.141 * [simplify]: Simplified (2 2 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)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) (sqrt k))))
74.142 * * * * [progress]: [ 78 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) (sqrt k))))>
74.142 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
74.142 * * [simplify]: iters left: 6 (8 enodes)
74.147 * * [simplify]: iters left: 5 (30 enodes)
74.158 * * [simplify]: iters left: 4 (40 enodes)
74.170 * * [simplify]: iters left: 3 (42 enodes)
74.183 * * [simplify]: Extracting #0: cost 1 inf + 0
74.183 * * [simplify]: Extracting #1: cost 8 inf + 0
74.183 * * [simplify]: Extracting #2: cost 11 inf + 203
74.184 * * [simplify]: Extracting #3: cost 13 inf + 405
74.184 * * [simplify]: Extracting #4: cost 12 inf + 407
74.184 * * [simplify]: Extracting #5: cost 3 inf + 1549
74.185 * * [simplify]: Extracting #6: cost 0 inf + 1875
74.185 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
74.185 * [simplify]: Simplified (2 2 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)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))) (sqrt k))))
74.186 * * * * [progress]: [ 79 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) (sqrt k))))>
74.186 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
74.186 * * [simplify]: iters left: 6 (8 enodes)
74.191 * * [simplify]: iters left: 5 (30 enodes)
74.201 * * [simplify]: iters left: 4 (40 enodes)
74.214 * * [simplify]: iters left: 3 (42 enodes)
74.227 * * [simplify]: Extracting #0: cost 1 inf + 0
74.228 * * [simplify]: Extracting #1: cost 8 inf + 0
74.228 * * [simplify]: Extracting #2: cost 11 inf + 123
74.228 * * [simplify]: Extracting #3: cost 13 inf + 245
74.228 * * [simplify]: Extracting #4: cost 12 inf + 247
74.228 * * [simplify]: Extracting #5: cost 3 inf + 1269
74.229 * * [simplify]: Extracting #6: cost 0 inf + 1555
74.229 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
74.230 * [simplify]: Simplified (2 2 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)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (sqrt k))))
74.230 * * * * [progress]: [ 80 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) (sqrt k))))>
74.230 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
74.230 * * [simplify]: iters left: 6 (7 enodes)
74.235 * * [simplify]: iters left: 5 (28 enodes)
74.246 * * [simplify]: iters left: 4 (35 enodes)
74.258 * * [simplify]: Extracting #0: cost 1 inf + 0
74.258 * * [simplify]: Extracting #1: cost 6 inf + 0
74.258 * * [simplify]: Extracting #2: cost 7 inf + 2
74.259 * * [simplify]: Extracting #3: cost 11 inf + 2
74.259 * * [simplify]: Extracting #4: cost 9 inf + 45
74.259 * * [simplify]: Extracting #5: cost 4 inf + 375
74.259 * * [simplify]: Extracting #6: cost 0 inf + 826
74.260 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
74.260 * [simplify]: Simplified (2 2 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)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (sqrt k))))
74.260 * * * * [progress]: [ 81 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (sqrt k))))>
74.260 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
74.260 * * [simplify]: iters left: 6 (7 enodes)
74.265 * * [simplify]: iters left: 5 (30 enodes)
74.273 * * [simplify]: iters left: 4 (49 enodes)
74.282 * * [simplify]: iters left: 3 (59 enodes)
74.294 * * [simplify]: iters left: 2 (64 enodes)
74.312 * * [simplify]: Extracting #0: cost 1 inf + 0
74.312 * * [simplify]: Extracting #1: cost 9 inf + 0
74.312 * * [simplify]: Extracting #2: cost 23 inf + 0
74.312 * * [simplify]: Extracting #3: cost 24 inf + 3
74.313 * * [simplify]: Extracting #4: cost 15 inf + 980
74.314 * * [simplify]: Extracting #5: cost 1 inf + 3007
74.315 * * [simplify]: Extracting #6: cost 0 inf + 3169
74.315 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
74.316 * [simplify]: Simplified (2 2 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)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (sqrt k))))
74.316 * * * * [progress]: [ 82 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k))))>
74.316 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
74.316 * * [simplify]: iters left: 6 (8 enodes)
74.319 * * [simplify]: iters left: 5 (33 enodes)
74.326 * * [simplify]: iters left: 4 (55 enodes)
74.337 * * [simplify]: iters left: 3 (72 enodes)
74.349 * * [simplify]: iters left: 2 (84 enodes)
74.363 * * [simplify]: iters left: 1 (88 enodes)
74.378 * * [simplify]: Extracting #0: cost 1 inf + 0
74.378 * * [simplify]: Extracting #1: cost 11 inf + 0
74.378 * * [simplify]: Extracting #2: cost 30 inf + 0
74.378 * * [simplify]: Extracting #3: cost 33 inf + 84
74.379 * * [simplify]: Extracting #4: cost 12 inf + 2402
74.381 * * [simplify]: Extracting #5: cost 0 inf + 4469
74.382 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
74.382 * [simplify]: Simplified (2 2 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)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k))))
74.382 * * * * [progress]: [ 83 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (sqrt k))))>
74.383 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
74.383 * * [simplify]: iters left: 6 (7 enodes)
74.388 * * [simplify]: iters left: 5 (30 enodes)
74.402 * * [simplify]: iters left: 4 (52 enodes)
74.421 * * [simplify]: iters left: 3 (70 enodes)
74.442 * * [simplify]: iters left: 2 (81 enodes)
74.466 * * [simplify]: iters left: 1 (84 enodes)
74.489 * * [simplify]: Extracting #0: cost 1 inf + 0
74.489 * * [simplify]: Extracting #1: cost 11 inf + 0
74.489 * * [simplify]: Extracting #2: cost 25 inf + 203
74.489 * * [simplify]: Extracting #3: cost 25 inf + 530
74.490 * * [simplify]: Extracting #4: cost 4 inf + 2936
74.491 * * [simplify]: Extracting #5: cost 0 inf + 3504
74.493 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
74.493 * [simplify]: Simplified (2 2 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)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))
74.493 * * * * [progress]: [ 84 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k))))>
74.493 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
74.493 * * [simplify]: iters left: 6 (8 enodes)
74.499 * * [simplify]: iters left: 5 (33 enodes)
74.512 * * [simplify]: iters left: 4 (55 enodes)
74.531 * * [simplify]: iters left: 3 (72 enodes)
74.554 * * [simplify]: iters left: 2 (84 enodes)
74.582 * * [simplify]: iters left: 1 (88 enodes)
74.598 * * [simplify]: Extracting #0: cost 1 inf + 0
74.598 * * [simplify]: Extracting #1: cost 11 inf + 0
74.598 * * [simplify]: Extracting #2: cost 30 inf + 0
74.598 * * [simplify]: Extracting #3: cost 33 inf + 44
74.599 * * [simplify]: Extracting #4: cost 12 inf + 2362
74.599 * * [simplify]: Extracting #5: cost 0 inf + 4469
74.600 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
74.600 * [simplify]: Simplified (2 2 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)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k))))
74.600 * * * * [progress]: [ 85 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (sqrt k))))>
74.601 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
74.601 * * [simplify]: iters left: 6 (7 enodes)
74.603 * * [simplify]: iters left: 5 (30 enodes)
74.610 * * [simplify]: iters left: 4 (48 enodes)
74.620 * * [simplify]: iters left: 3 (56 enodes)
74.631 * * [simplify]: Extracting #0: cost 1 inf + 0
74.631 * * [simplify]: Extracting #1: cost 8 inf + 0
74.631 * * [simplify]: Extracting #2: cost 15 inf + 43
74.632 * * [simplify]: Extracting #3: cost 16 inf + 86
74.632 * * [simplify]: Extracting #4: cost 5 inf + 911
74.633 * * [simplify]: Extracting #5: cost 1 inf + 1198
74.633 * * [simplify]: Extracting #6: cost 0 inf + 1320
74.634 * [simplify]: Simplified to (/ (- 1 k) 2)
74.634 * [simplify]: Simplified (2 2 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)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (sqrt k))))
74.634 * * * * [progress]: [ 86 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (sqrt k))))>
74.635 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
74.635 * * [simplify]: iters left: 6 (7 enodes)
74.640 * * [simplify]: iters left: 5 (30 enodes)
74.651 * * [simplify]: iters left: 4 (52 enodes)
74.668 * * [simplify]: iters left: 3 (70 enodes)
74.688 * * [simplify]: iters left: 2 (81 enodes)
74.701 * * [simplify]: iters left: 1 (84 enodes)
74.717 * * [simplify]: Extracting #0: cost 1 inf + 0
74.717 * * [simplify]: Extracting #1: cost 11 inf + 0
74.717 * * [simplify]: Extracting #2: cost 25 inf + 123
74.717 * * [simplify]: Extracting #3: cost 25 inf + 330
74.718 * * [simplify]: Extracting #4: cost 4 inf + 2256
74.719 * * [simplify]: Extracting #5: cost 0 inf + 2704
74.720 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
74.720 * [simplify]: Simplified (2 2 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)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))
74.720 * * * * [progress]: [ 87 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))>
74.721 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
74.721 * * [simplify]: iters left: 6 (7 enodes)
74.725 * * [simplify]: iters left: 5 (31 enodes)
74.734 * * [simplify]: iters left: 4 (51 enodes)
74.743 * * [simplify]: iters left: 3 (64 enodes)
74.754 * * [simplify]: iters left: 2 (77 enodes)
74.767 * * [simplify]: iters left: 1 (84 enodes)
74.780 * * [simplify]: Extracting #0: cost 1 inf + 0
74.781 * * [simplify]: Extracting #1: cost 11 inf + 0
74.781 * * [simplify]: Extracting #2: cost 26 inf + 82
74.781 * * [simplify]: Extracting #3: cost 24 inf + 692
74.781 * * [simplify]: Extracting #4: cost 3 inf + 3057
74.782 * * [simplify]: Extracting #5: cost 0 inf + 3504
74.782 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
74.782 * [simplify]: Simplified (2 2 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)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (sqrt k))))
74.783 * * * * [progress]: [ 88 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))>
74.783 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
74.783 * * [simplify]: iters left: 6 (7 enodes)
74.791 * * [simplify]: iters left: 5 (31 enodes)
74.797 * * [simplify]: iters left: 4 (51 enodes)
74.806 * * [simplify]: iters left: 3 (64 enodes)
74.817 * * [simplify]: iters left: 2 (77 enodes)
74.833 * * [simplify]: iters left: 1 (84 enodes)
74.857 * * [simplify]: Extracting #0: cost 1 inf + 0
74.857 * * [simplify]: Extracting #1: cost 11 inf + 0
74.857 * * [simplify]: Extracting #2: cost 26 inf + 42
74.857 * * [simplify]: Extracting #3: cost 24 inf + 452
74.858 * * [simplify]: Extracting #4: cost 3 inf + 2337
74.859 * * [simplify]: Extracting #5: cost 0 inf + 2704
74.860 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
74.860 * [simplify]: Simplified (2 2 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)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (sqrt k))))
74.860 * * * * [progress]: [ 89 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
74.860 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
74.860 * * [simplify]: iters left: 6 (6 enodes)
74.863 * * [simplify]: iters left: 5 (29 enodes)
74.870 * * [simplify]: iters left: 4 (44 enodes)
74.877 * * [simplify]: iters left: 3 (50 enodes)
74.886 * * [simplify]: iters left: 2 (57 enodes)
74.898 * * [simplify]: Extracting #0: cost 1 inf + 0
74.898 * * [simplify]: Extracting #1: cost 9 inf + 0
74.898 * * [simplify]: Extracting #2: cost 15 inf + 3
74.898 * * [simplify]: Extracting #3: cost 11 inf + 131
74.899 * * [simplify]: Extracting #4: cost 2 inf + 711
74.899 * * [simplify]: Extracting #5: cost 0 inf + 836
74.899 * [simplify]: Simplified to (- 1/4 (/ k 4))
74.899 * [simplify]: Simplified (2 2 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)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (sqrt k))))
74.899 * * * * [progress]: [ 90 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))) (sqrt k))))>
74.900 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
74.900 * * [simplify]: iters left: 6 (9 enodes)
74.903 * * [simplify]: iters left: 5 (36 enodes)
74.910 * * [simplify]: iters left: 4 (58 enodes)
74.919 * * [simplify]: iters left: 3 (71 enodes)
74.936 * * [simplify]: iters left: 2 (79 enodes)
74.958 * * [simplify]: iters left: 1 (80 enodes)
74.980 * * [simplify]: Extracting #0: cost 1 inf + 0
74.980 * * [simplify]: Extracting #1: cost 9 inf + 0
74.980 * * [simplify]: Extracting #2: cost 24 inf + 0
74.980 * * [simplify]: Extracting #3: cost 29 inf + 2
74.981 * * [simplify]: Extracting #4: cost 10 inf + 2233
74.982 * * [simplify]: Extracting #5: cost 1 inf + 4013
74.983 * * [simplify]: Extracting #6: cost 0 inf + 4135
74.984 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
74.984 * [simplify]: Simplified (2 2 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)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (sqrt k))))
74.985 * * * * [progress]: [ 91 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
74.985 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
74.985 * * [simplify]: iters left: 6 (10 enodes)
74.992 * * [simplify]: iters left: 5 (39 enodes)
75.006 * * [simplify]: iters left: 4 (64 enodes)
75.022 * * [simplify]: iters left: 3 (86 enodes)
75.040 * * [simplify]: iters left: 2 (99 enodes)
75.059 * * [simplify]: iters left: 1 (104 enodes)
75.074 * * [simplify]: Extracting #0: cost 1 inf + 0
75.074 * * [simplify]: Extracting #1: cost 11 inf + 0
75.074 * * [simplify]: Extracting #2: cost 31 inf + 0
75.074 * * [simplify]: Extracting #3: cost 39 inf + 2
75.074 * * [simplify]: Extracting #4: cost 22 inf + 1871
75.075 * * [simplify]: Extracting #5: cost 4 inf + 4865
75.076 * * [simplify]: Extracting #6: cost 0 inf + 5675
75.077 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
75.077 * [simplify]: Simplified (2 2 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)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (sqrt k))))
75.077 * * * * [progress]: [ 92 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) (sqrt k))))>
75.077 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
75.078 * * [simplify]: iters left: 6 (9 enodes)
75.082 * * [simplify]: iters left: 5 (36 enodes)
75.095 * * [simplify]: iters left: 4 (61 enodes)
75.115 * * [simplify]: iters left: 3 (84 enodes)
75.140 * * [simplify]: iters left: 2 (96 enodes)
75.168 * * [simplify]: iters left: 1 (100 enodes)
75.194 * * [simplify]: Extracting #0: cost 1 inf + 0
75.194 * * [simplify]: Extracting #1: cost 11 inf + 0
75.194 * * [simplify]: Extracting #2: cost 27 inf + 82
75.194 * * [simplify]: Extracting #3: cost 29 inf + 651
75.195 * * [simplify]: Extracting #4: cost 12 inf + 2763
75.196 * * [simplify]: Extracting #5: cost 1 inf + 4587
75.198 * * [simplify]: Extracting #6: cost 0 inf + 4710
75.199 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
75.199 * [simplify]: Simplified (2 2 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)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (sqrt k))))
75.200 * * * * [progress]: [ 93 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
75.200 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
75.200 * * [simplify]: iters left: 6 (10 enodes)
75.207 * * [simplify]: iters left: 5 (39 enodes)
75.221 * * [simplify]: iters left: 4 (64 enodes)
75.242 * * [simplify]: iters left: 3 (86 enodes)
75.268 * * [simplify]: iters left: 2 (99 enodes)
75.295 * * [simplify]: iters left: 1 (104 enodes)
75.327 * * [simplify]: Extracting #0: cost 1 inf + 0
75.327 * * [simplify]: Extracting #1: cost 11 inf + 0
75.328 * * [simplify]: Extracting #2: cost 31 inf + 0
75.328 * * [simplify]: Extracting #3: cost 39 inf + 2
75.328 * * [simplify]: Extracting #4: cost 22 inf + 1831
75.330 * * [simplify]: Extracting #5: cost 4 inf + 4785
75.332 * * [simplify]: Extracting #6: cost 0 inf + 5595
75.334 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
75.334 * [simplify]: Simplified (2 2 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)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (sqrt k))))
75.334 * * * * [progress]: [ 94 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
75.335 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
75.335 * * [simplify]: iters left: 6 (9 enodes)
75.341 * * [simplify]: iters left: 5 (36 enodes)
75.355 * * [simplify]: iters left: 4 (57 enodes)
75.374 * * [simplify]: iters left: 3 (73 enodes)
75.394 * * [simplify]: iters left: 2 (80 enodes)
75.417 * * [simplify]: iters left: 1 (81 enodes)
75.431 * * [simplify]: Extracting #0: cost 1 inf + 0
75.432 * * [simplify]: Extracting #1: cost 9 inf + 0
75.432 * * [simplify]: Extracting #2: cost 18 inf + 43
75.432 * * [simplify]: Extracting #3: cost 23 inf + 85
75.432 * * [simplify]: Extracting #4: cost 9 inf + 1271
75.432 * * [simplify]: Extracting #5: cost 0 inf + 2370
75.433 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
75.433 * [simplify]: Simplified (2 2 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)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (sqrt k))))
75.433 * * * * [progress]: [ 95 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) (sqrt k))))>
75.433 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
75.433 * * [simplify]: iters left: 6 (9 enodes)
75.437 * * [simplify]: iters left: 5 (36 enodes)
75.444 * * [simplify]: iters left: 4 (61 enodes)
75.461 * * [simplify]: iters left: 3 (84 enodes)
75.479 * * [simplify]: iters left: 2 (96 enodes)
75.494 * * [simplify]: iters left: 1 (100 enodes)
75.515 * * [simplify]: Extracting #0: cost 1 inf + 0
75.516 * * [simplify]: Extracting #1: cost 11 inf + 0
75.516 * * [simplify]: Extracting #2: cost 27 inf + 42
75.517 * * [simplify]: Extracting #3: cost 29 inf + 411
75.517 * * [simplify]: Extracting #4: cost 12 inf + 2163
75.518 * * [simplify]: Extracting #5: cost 1 inf + 3707
75.518 * * [simplify]: Extracting #6: cost 0 inf + 3830
75.519 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
75.519 * [simplify]: Simplified (2 2 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)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (sqrt k))))
75.520 * * * * [progress]: [ 96 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) (sqrt k))))>
75.520 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
75.520 * * [simplify]: iters left: 6 (9 enodes)
75.523 * * [simplify]: iters left: 5 (36 enodes)
75.531 * * [simplify]: iters left: 4 (62 enodes)
75.541 * * [simplify]: iters left: 3 (78 enodes)
75.563 * * [simplify]: iters left: 2 (90 enodes)
75.586 * * [simplify]: iters left: 1 (94 enodes)
75.599 * * [simplify]: Extracting #0: cost 1 inf + 0
75.599 * * [simplify]: Extracting #1: cost 11 inf + 0
75.599 * * [simplify]: Extracting #2: cost 27 inf + 1
75.600 * * [simplify]: Extracting #3: cost 29 inf + 409
75.600 * * [simplify]: Extracting #4: cost 12 inf + 2359
75.601 * * [simplify]: Extracting #5: cost 2 inf + 4022
75.601 * * [simplify]: Extracting #6: cost 0 inf + 4466
75.602 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
75.602 * [simplify]: Simplified (2 2 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)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (sqrt k))))
75.602 * * * * [progress]: [ 97 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) (sqrt k))))>
75.603 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
75.603 * * [simplify]: iters left: 6 (9 enodes)
75.609 * * [simplify]: iters left: 5 (36 enodes)
75.623 * * [simplify]: iters left: 4 (62 enodes)
75.643 * * [simplify]: iters left: 3 (78 enodes)
75.656 * * [simplify]: iters left: 2 (90 enodes)
75.669 * * [simplify]: iters left: 1 (94 enodes)
75.692 * * [simplify]: Extracting #0: cost 1 inf + 0
75.692 * * [simplify]: Extracting #1: cost 11 inf + 0
75.692 * * [simplify]: Extracting #2: cost 27 inf + 1
75.692 * * [simplify]: Extracting #3: cost 29 inf + 249
75.693 * * [simplify]: Extracting #4: cost 12 inf + 1879
75.694 * * [simplify]: Extracting #5: cost 2 inf + 3302
75.699 * * [simplify]: Extracting #6: cost 0 inf + 3666
75.701 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
75.701 * [simplify]: Simplified (2 2 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)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (sqrt k))))
75.701 * * * * [progress]: [ 98 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) (sqrt k))))>
75.701 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
75.702 * * [simplify]: iters left: 6 (8 enodes)
75.707 * * [simplify]: iters left: 5 (34 enodes)
75.721 * * [simplify]: iters left: 4 (58 enodes)
75.737 * * [simplify]: iters left: 3 (65 enodes)
75.747 * * [simplify]: Extracting #0: cost 1 inf + 0
75.747 * * [simplify]: Extracting #1: cost 8 inf + 0
75.747 * * [simplify]: Extracting #2: cost 14 inf + 3
75.747 * * [simplify]: Extracting #3: cost 17 inf + 5
75.747 * * [simplify]: Extracting #4: cost 12 inf + 292
75.747 * * [simplify]: Extracting #5: cost 1 inf + 1355
75.747 * * [simplify]: Extracting #6: cost 0 inf + 1478
75.748 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
75.748 * [simplify]: Simplified (2 2 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)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) (sqrt k))))
75.748 * * * * [progress]: [ 99 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (sqrt k))))>
75.748 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
75.748 * * [simplify]: iters left: 6 (8 enodes)
75.751 * * [simplify]: iters left: 5 (33 enodes)
75.758 * * [simplify]: iters left: 4 (52 enodes)
75.770 * * [simplify]: iters left: 3 (62 enodes)
75.789 * * [simplify]: iters left: 2 (67 enodes)
75.803 * * [simplify]: Extracting #0: cost 1 inf + 0
75.803 * * [simplify]: Extracting #1: cost 9 inf + 0
75.803 * * [simplify]: Extracting #2: cost 23 inf + 0
75.803 * * [simplify]: Extracting #3: cost 24 inf + 285
75.803 * * [simplify]: Extracting #4: cost 18 inf + 975
75.803 * * [simplify]: Extracting #5: cost 7 inf + 2516
75.804 * * [simplify]: Extracting #6: cost 0 inf + 3891
75.804 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
75.804 * [simplify]: Simplified (2 2 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)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (sqrt k))))
75.805 * * * * [progress]: [ 100 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
75.805 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
75.805 * * [simplify]: iters left: 6 (9 enodes)
75.808 * * [simplify]: iters left: 5 (36 enodes)
75.815 * * [simplify]: iters left: 4 (58 enodes)
75.830 * * [simplify]: iters left: 3 (75 enodes)
75.843 * * [simplify]: iters left: 2 (87 enodes)
75.868 * * [simplify]: iters left: 1 (91 enodes)
75.894 * * [simplify]: Extracting #0: cost 1 inf + 0
75.894 * * [simplify]: Extracting #1: cost 11 inf + 0
75.894 * * [simplify]: Extracting #2: cost 30 inf + 0
75.894 * * [simplify]: Extracting #3: cost 36 inf + 83
75.894 * * [simplify]: Extracting #4: cost 30 inf + 451
75.895 * * [simplify]: Extracting #5: cost 10 inf + 3649
75.897 * * [simplify]: Extracting #6: cost 0 inf + 5431
75.899 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
75.899 * [simplify]: Simplified (2 2 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)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (sqrt k))))
75.899 * * * * [progress]: [ 101 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) (sqrt k))))>
75.900 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
75.900 * * [simplify]: iters left: 6 (8 enodes)
75.905 * * [simplify]: iters left: 5 (33 enodes)
75.917 * * [simplify]: iters left: 4 (55 enodes)
75.936 * * [simplify]: iters left: 3 (73 enodes)
75.959 * * [simplify]: iters left: 2 (84 enodes)
75.984 * * [simplify]: iters left: 1 (87 enodes)
75.997 * * [simplify]: Extracting #0: cost 1 inf + 0
75.997 * * [simplify]: Extracting #1: cost 11 inf + 0
75.997 * * [simplify]: Extracting #2: cost 25 inf + 203
75.998 * * [simplify]: Extracting #3: cost 29 inf + 407
75.998 * * [simplify]: Extracting #4: cost 24 inf + 896
75.998 * * [simplify]: Extracting #5: cost 9 inf + 2805
75.999 * * [simplify]: Extracting #6: cost 0 inf + 4466
75.999 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
76.000 * [simplify]: Simplified (2 2 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)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (sqrt k))))
76.000 * * * * [progress]: [ 102 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
76.000 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
76.000 * * [simplify]: iters left: 6 (9 enodes)
76.003 * * [simplify]: iters left: 5 (36 enodes)
76.013 * * [simplify]: iters left: 4 (58 enodes)
76.029 * * [simplify]: iters left: 3 (75 enodes)
76.043 * * [simplify]: iters left: 2 (87 enodes)
76.061 * * [simplify]: iters left: 1 (91 enodes)
76.079 * * [simplify]: Extracting #0: cost 1 inf + 0
76.079 * * [simplify]: Extracting #1: cost 11 inf + 0
76.079 * * [simplify]: Extracting #2: cost 30 inf + 0
76.079 * * [simplify]: Extracting #3: cost 36 inf + 43
76.079 * * [simplify]: Extracting #4: cost 30 inf + 451
76.080 * * [simplify]: Extracting #5: cost 10 inf + 3769
76.080 * * [simplify]: Extracting #6: cost 0 inf + 5431
76.081 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
76.081 * [simplify]: Simplified (2 2 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)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (sqrt k))))
76.082 * * * * [progress]: [ 103 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
76.082 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
76.082 * * [simplify]: iters left: 6 (8 enodes)
76.085 * * [simplify]: iters left: 5 (33 enodes)
76.092 * * [simplify]: iters left: 4 (51 enodes)
76.108 * * [simplify]: iters left: 3 (59 enodes)
76.125 * * [simplify]: Extracting #0: cost 1 inf + 0
76.125 * * [simplify]: Extracting #1: cost 8 inf + 0
76.125 * * [simplify]: Extracting #2: cost 15 inf + 43
76.125 * * [simplify]: Extracting #3: cost 19 inf + 85
76.125 * * [simplify]: Extracting #4: cost 16 inf + 250
76.126 * * [simplify]: Extracting #5: cost 5 inf + 1311
76.126 * * [simplify]: Extracting #6: cost 0 inf + 1962
76.127 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
76.127 * [simplify]: Simplified (2 2 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)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (sqrt k))))
76.128 * * * * [progress]: [ 104 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) (sqrt k))))>
76.128 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
76.128 * * [simplify]: iters left: 6 (8 enodes)
76.133 * * [simplify]: iters left: 5 (33 enodes)
76.145 * * [simplify]: iters left: 4 (55 enodes)
76.163 * * [simplify]: iters left: 3 (73 enodes)
76.184 * * [simplify]: iters left: 2 (84 enodes)
76.209 * * [simplify]: iters left: 1 (87 enodes)
76.239 * * [simplify]: Extracting #0: cost 1 inf + 0
76.239 * * [simplify]: Extracting #1: cost 11 inf + 0
76.239 * * [simplify]: Extracting #2: cost 25 inf + 123
76.239 * * [simplify]: Extracting #3: cost 29 inf + 247
76.240 * * [simplify]: Extracting #4: cost 24 inf + 576
76.240 * * [simplify]: Extracting #5: cost 9 inf + 2245
76.242 * * [simplify]: Extracting #6: cost 0 inf + 3666
76.243 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
76.243 * [simplify]: Simplified (2 2 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)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (sqrt k))))
76.244 * * * * [progress]: [ 105 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) (sqrt k))))>
76.244 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
76.244 * * [simplify]: iters left: 6 (8 enodes)
76.250 * * [simplify]: iters left: 5 (34 enodes)
76.262 * * [simplify]: iters left: 4 (54 enodes)
76.280 * * [simplify]: iters left: 3 (67 enodes)
76.300 * * [simplify]: iters left: 2 (80 enodes)
76.316 * * [simplify]: iters left: 1 (87 enodes)
76.329 * * [simplify]: Extracting #0: cost 1 inf + 0
76.329 * * [simplify]: Extracting #1: cost 11 inf + 0
76.329 * * [simplify]: Extracting #2: cost 25 inf + 203
76.330 * * [simplify]: Extracting #3: cost 26 inf + 773
76.330 * * [simplify]: Extracting #4: cost 24 inf + 896
76.330 * * [simplify]: Extracting #5: cost 8 inf + 3127
76.331 * * [simplify]: Extracting #6: cost 0 inf + 4466
76.331 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
76.332 * [simplify]: Simplified (2 2 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)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (sqrt k))))
76.332 * * * * [progress]: [ 106 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) (sqrt k))))>
76.332 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
76.332 * * [simplify]: iters left: 6 (8 enodes)
76.335 * * [simplify]: iters left: 5 (34 enodes)
76.342 * * [simplify]: iters left: 4 (54 enodes)
76.361 * * [simplify]: iters left: 3 (67 enodes)
76.381 * * [simplify]: iters left: 2 (80 enodes)
76.406 * * [simplify]: iters left: 1 (87 enodes)
76.431 * * [simplify]: Extracting #0: cost 1 inf + 0
76.431 * * [simplify]: Extracting #1: cost 11 inf + 0
76.431 * * [simplify]: Extracting #2: cost 25 inf + 123
76.431 * * [simplify]: Extracting #3: cost 26 inf + 493
76.432 * * [simplify]: Extracting #4: cost 24 inf + 576
76.433 * * [simplify]: Extracting #5: cost 8 inf + 2527
76.434 * * [simplify]: Extracting #6: cost 0 inf + 3666
76.435 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
76.435 * [simplify]: Simplified (2 2 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)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (sqrt k))))
76.436 * * * * [progress]: [ 107 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k))))>
76.436 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
76.436 * * [simplify]: iters left: 6 (7 enodes)
76.441 * * [simplify]: iters left: 5 (32 enodes)
76.455 * * [simplify]: iters left: 4 (50 enodes)
76.469 * * [simplify]: iters left: 3 (54 enodes)
76.478 * * [simplify]: Extracting #0: cost 1 inf + 0
76.478 * * [simplify]: Extracting #1: cost 8 inf + 0
76.478 * * [simplify]: Extracting #2: cost 13 inf + 3
76.478 * * [simplify]: Extracting #3: cost 15 inf + 5
76.478 * * [simplify]: Extracting #4: cost 14 inf + 6
76.478 * * [simplify]: Extracting #5: cost 4 inf + 825
76.478 * * [simplify]: Extracting #6: cost 0 inf + 1234
76.478 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
76.478 * [simplify]: Simplified (2 2 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)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) (sqrt k))))
76.479 * * * * [progress]: [ 108 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (sqrt k))))>
76.479 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
76.479 * * [simplify]: iters left: 6 (7 enodes)
76.481 * * [simplify]: iters left: 5 (30 enodes)
76.487 * * [simplify]: iters left: 4 (49 enodes)
76.498 * * [simplify]: iters left: 3 (59 enodes)
76.507 * * [simplify]: iters left: 2 (64 enodes)
76.517 * * [simplify]: Extracting #0: cost 1 inf + 0
76.517 * * [simplify]: Extracting #1: cost 9 inf + 0
76.518 * * [simplify]: Extracting #2: cost 23 inf + 0
76.518 * * [simplify]: Extracting #3: cost 24 inf + 3
76.518 * * [simplify]: Extracting #4: cost 15 inf + 980
76.518 * * [simplify]: Extracting #5: cost 1 inf + 3007
76.519 * * [simplify]: Extracting #6: cost 0 inf + 3169
76.519 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
76.519 * [simplify]: Simplified (2 2 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)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (sqrt k))))
76.519 * * * * [progress]: [ 109 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k))))>
76.520 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
76.520 * * [simplify]: iters left: 6 (8 enodes)
76.523 * * [simplify]: iters left: 5 (33 enodes)
76.529 * * [simplify]: iters left: 4 (55 enodes)
76.546 * * [simplify]: iters left: 3 (72 enodes)
76.568 * * [simplify]: iters left: 2 (84 enodes)
76.593 * * [simplify]: iters left: 1 (88 enodes)
76.616 * * [simplify]: Extracting #0: cost 1 inf + 0
76.616 * * [simplify]: Extracting #1: cost 11 inf + 0
76.616 * * [simplify]: Extracting #2: cost 30 inf + 0
76.616 * * [simplify]: Extracting #3: cost 33 inf + 84
76.616 * * [simplify]: Extracting #4: cost 12 inf + 2402
76.617 * * [simplify]: Extracting #5: cost 0 inf + 4469
76.618 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
76.618 * [simplify]: Simplified (2 2 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)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k))))
76.618 * * * * [progress]: [ 110 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (sqrt k))))>
76.618 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
76.619 * * [simplify]: iters left: 6 (7 enodes)
76.624 * * [simplify]: iters left: 5 (30 enodes)
76.630 * * [simplify]: iters left: 4 (52 enodes)
76.639 * * [simplify]: iters left: 3 (70 enodes)
76.650 * * [simplify]: iters left: 2 (81 enodes)
76.664 * * [simplify]: iters left: 1 (84 enodes)
76.687 * * [simplify]: Extracting #0: cost 1 inf + 0
76.687 * * [simplify]: Extracting #1: cost 11 inf + 0
76.687 * * [simplify]: Extracting #2: cost 25 inf + 203
76.688 * * [simplify]: Extracting #3: cost 25 inf + 530
76.688 * * [simplify]: Extracting #4: cost 4 inf + 2936
76.690 * * [simplify]: Extracting #5: cost 0 inf + 3504
76.691 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
76.691 * [simplify]: Simplified (2 2 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)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))
76.691 * * * * [progress]: [ 111 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k))))>
76.692 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
76.692 * * [simplify]: iters left: 6 (8 enodes)
76.697 * * [simplify]: iters left: 5 (33 enodes)
76.709 * * [simplify]: iters left: 4 (55 enodes)
76.727 * * [simplify]: iters left: 3 (72 enodes)
76.745 * * [simplify]: iters left: 2 (84 enodes)
76.758 * * [simplify]: iters left: 1 (88 enodes)
76.772 * * [simplify]: Extracting #0: cost 1 inf + 0
76.772 * * [simplify]: Extracting #1: cost 11 inf + 0
76.772 * * [simplify]: Extracting #2: cost 30 inf + 0
76.772 * * [simplify]: Extracting #3: cost 33 inf + 44
76.773 * * [simplify]: Extracting #4: cost 12 inf + 2362
76.774 * * [simplify]: Extracting #5: cost 0 inf + 4469
76.776 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
76.776 * [simplify]: Simplified (2 2 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)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k))))
76.777 * * * * [progress]: [ 112 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (sqrt k))))>
76.777 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
76.777 * * [simplify]: iters left: 6 (7 enodes)
76.782 * * [simplify]: iters left: 5 (30 enodes)
76.795 * * [simplify]: iters left: 4 (48 enodes)
76.812 * * [simplify]: iters left: 3 (56 enodes)
76.828 * * [simplify]: Extracting #0: cost 1 inf + 0
76.828 * * [simplify]: Extracting #1: cost 8 inf + 0
76.828 * * [simplify]: Extracting #2: cost 15 inf + 43
76.828 * * [simplify]: Extracting #3: cost 16 inf + 86
76.828 * * [simplify]: Extracting #4: cost 5 inf + 911
76.829 * * [simplify]: Extracting #5: cost 1 inf + 1198
76.830 * * [simplify]: Extracting #6: cost 0 inf + 1320
76.830 * [simplify]: Simplified to (/ (- 1 k) 2)
76.830 * [simplify]: Simplified (2 2 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)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (sqrt k))))
76.831 * * * * [progress]: [ 113 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (sqrt k))))>
76.831 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
76.831 * * [simplify]: iters left: 6 (7 enodes)
76.836 * * [simplify]: iters left: 5 (30 enodes)
76.846 * * [simplify]: iters left: 4 (52 enodes)
76.863 * * [simplify]: iters left: 3 (70 enodes)
76.888 * * [simplify]: iters left: 2 (81 enodes)
76.912 * * [simplify]: iters left: 1 (84 enodes)
76.928 * * [simplify]: Extracting #0: cost 1 inf + 0
76.929 * * [simplify]: Extracting #1: cost 11 inf + 0
76.929 * * [simplify]: Extracting #2: cost 25 inf + 123
76.929 * * [simplify]: Extracting #3: cost 25 inf + 330
76.929 * * [simplify]: Extracting #4: cost 4 inf + 2256
76.930 * * [simplify]: Extracting #5: cost 0 inf + 2704
76.930 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
76.930 * [simplify]: Simplified (2 2 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)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))
76.931 * * * * [progress]: [ 114 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))>
76.931 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
76.931 * * [simplify]: iters left: 6 (7 enodes)
76.934 * * [simplify]: iters left: 5 (31 enodes)
76.941 * * [simplify]: iters left: 4 (51 enodes)
76.951 * * [simplify]: iters left: 3 (64 enodes)
76.970 * * [simplify]: iters left: 2 (77 enodes)
76.982 * * [simplify]: iters left: 1 (84 enodes)
76.995 * * [simplify]: Extracting #0: cost 1 inf + 0
76.995 * * [simplify]: Extracting #1: cost 11 inf + 0
76.995 * * [simplify]: Extracting #2: cost 26 inf + 82
76.995 * * [simplify]: Extracting #3: cost 24 inf + 692
76.996 * * [simplify]: Extracting #4: cost 3 inf + 3057
76.997 * * [simplify]: Extracting #5: cost 0 inf + 3504
77.002 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
77.002 * [simplify]: Simplified (2 2 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)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (sqrt k))))
77.003 * * * * [progress]: [ 115 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))>
77.003 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
77.003 * * [simplify]: iters left: 6 (7 enodes)
77.009 * * [simplify]: iters left: 5 (31 enodes)
77.022 * * [simplify]: iters left: 4 (51 enodes)
77.038 * * [simplify]: iters left: 3 (64 enodes)
77.049 * * [simplify]: iters left: 2 (77 enodes)
77.061 * * [simplify]: iters left: 1 (84 enodes)
77.082 * * [simplify]: Extracting #0: cost 1 inf + 0
77.082 * * [simplify]: Extracting #1: cost 11 inf + 0
77.082 * * [simplify]: Extracting #2: cost 26 inf + 42
77.083 * * [simplify]: Extracting #3: cost 24 inf + 452
77.083 * * [simplify]: Extracting #4: cost 3 inf + 2337
77.085 * * [simplify]: Extracting #5: cost 0 inf + 2704
77.086 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
77.086 * [simplify]: Simplified (2 2 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)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (sqrt k))))
77.086 * * * * [progress]: [ 116 / 184 ] simplifiying candidate #<alt (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)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.087 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
77.087 * * [simplify]: iters left: 6 (6 enodes)
77.092 * * [simplify]: iters left: 5 (29 enodes)
77.102 * * [simplify]: iters left: 4 (44 enodes)
77.110 * * [simplify]: iters left: 3 (50 enodes)
77.119 * * [simplify]: iters left: 2 (57 enodes)
77.131 * * [simplify]: Extracting #0: cost 1 inf + 0
77.131 * * [simplify]: Extracting #1: cost 9 inf + 0
77.131 * * [simplify]: Extracting #2: cost 15 inf + 3
77.131 * * [simplify]: Extracting #3: cost 11 inf + 131
77.131 * * [simplify]: Extracting #4: cost 2 inf + 711
77.132 * * [simplify]: Extracting #5: cost 0 inf + 836
77.132 * [simplify]: Simplified to (- 1/4 (/ k 4))
77.132 * [simplify]: Simplified (2 2 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)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (sqrt k))))
77.132 * * * * [progress]: [ 117 / 184 ] simplifiying candidate #<alt (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)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))>
77.132 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
77.132 * * [simplify]: iters left: 6 (7 enodes)
77.135 * * [simplify]: iters left: 5 (31 enodes)
77.142 * * [simplify]: iters left: 4 (51 enodes)
77.151 * * [simplify]: iters left: 3 (64 enodes)
77.166 * * [simplify]: iters left: 2 (77 enodes)
77.178 * * [simplify]: iters left: 1 (84 enodes)
77.192 * * [simplify]: Extracting #0: cost 1 inf + 0
77.192 * * [simplify]: Extracting #1: cost 11 inf + 0
77.192 * * [simplify]: Extracting #2: cost 26 inf + 82
77.192 * * [simplify]: Extracting #3: cost 24 inf + 692
77.193 * * [simplify]: Extracting #4: cost 3 inf + 3057
77.194 * * [simplify]: Extracting #5: cost 0 inf + 3504
77.195 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
77.195 * [simplify]: Simplified (2 2 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)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (sqrt k))))
77.196 * * * * [progress]: [ 118 / 184 ] simplifiying candidate #<alt (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)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))>
77.196 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
77.196 * * [simplify]: iters left: 6 (7 enodes)
77.201 * * [simplify]: iters left: 5 (31 enodes)
77.213 * * [simplify]: iters left: 4 (51 enodes)
77.231 * * [simplify]: iters left: 3 (64 enodes)
77.245 * * [simplify]: iters left: 2 (77 enodes)
77.257 * * [simplify]: iters left: 1 (84 enodes)
77.269 * * [simplify]: Extracting #0: cost 1 inf + 0
77.270 * * [simplify]: Extracting #1: cost 11 inf + 0
77.270 * * [simplify]: Extracting #2: cost 26 inf + 42
77.270 * * [simplify]: Extracting #3: cost 24 inf + 452
77.270 * * [simplify]: Extracting #4: cost 3 inf + 2337
77.271 * * [simplify]: Extracting #5: cost 0 inf + 2704
77.271 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
77.271 * [simplify]: Simplified (2 2 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)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (sqrt k))))
77.272 * * * * [progress]: [ 119 / 184 ] simplifiying candidate #<alt (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)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.272 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
77.272 * * [simplify]: iters left: 6 (6 enodes)
77.275 * * [simplify]: iters left: 5 (29 enodes)
77.281 * * [simplify]: iters left: 4 (44 enodes)
77.289 * * [simplify]: iters left: 3 (50 enodes)
77.299 * * [simplify]: iters left: 2 (57 enodes)
77.315 * * [simplify]: Extracting #0: cost 1 inf + 0
77.315 * * [simplify]: Extracting #1: cost 9 inf + 0
77.315 * * [simplify]: Extracting #2: cost 15 inf + 3
77.315 * * [simplify]: Extracting #3: cost 11 inf + 131
77.316 * * [simplify]: Extracting #4: cost 2 inf + 711
77.316 * * [simplify]: Extracting #5: cost 0 inf + 836
77.317 * [simplify]: Simplified to (- 1/4 (/ k 4))
77.317 * [simplify]: Simplified (2 2 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)) (/ 1 1)) (- 1/4 (/ k 4))) (sqrt k))))
77.317 * * * * [progress]: [ 120 / 184 ] simplifiying candidate #<alt (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)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (sqrt k))))>
77.317 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
77.317 * * [simplify]: iters left: 4 (5 enodes)
77.322 * * [simplify]: iters left: 3 (20 enodes)
77.329 * * [simplify]: iters left: 2 (27 enodes)
77.338 * * [simplify]: iters left: 1 (29 enodes)
77.346 * * [simplify]: Extracting #0: cost 1 inf + 0
77.346 * * [simplify]: Extracting #1: cost 8 inf + 0
77.346 * * [simplify]: Extracting #2: cost 4 inf + 449
77.346 * * [simplify]: Extracting #3: cost 0 inf + 895
77.346 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
77.346 * [simplify]: Simplified (2 2 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)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) (sqrt k))))
77.347 * * * * [progress]: [ 121 / 184 ] simplifiying candidate #<alt (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)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (sqrt k))))>
77.347 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
77.347 * * [simplify]: iters left: 4 (5 enodes)
77.352 * * [simplify]: iters left: 3 (20 enodes)
77.356 * * [simplify]: iters left: 2 (27 enodes)
77.360 * * [simplify]: iters left: 1 (29 enodes)
77.366 * * [simplify]: Extracting #0: cost 1 inf + 0
77.366 * * [simplify]: Extracting #1: cost 8 inf + 0
77.366 * * [simplify]: Extracting #2: cost 4 inf + 289
77.366 * * [simplify]: Extracting #3: cost 0 inf + 575
77.366 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
77.366 * [simplify]: Simplified (2 2 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)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (sqrt k))))
77.366 * * * * [progress]: [ 122 / 184 ] simplifiying candidate #<alt (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)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) (sqrt k))))>
77.366 * [simplify]: Simplifying (/ (/ 1 2) 2)
77.366 * * [simplify]: iters left: 4 (4 enodes)
77.369 * * [simplify]: iters left: 3 (19 enodes)
77.374 * * [simplify]: iters left: 2 (23 enodes)
77.381 * * [simplify]: Extracting #0: cost 1 inf + 0
77.381 * * [simplify]: Extracting #1: cost 0 inf + 1
77.381 * [simplify]: Simplified to 1/4
77.381 * [simplify]: Simplified (2 2 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)) (/ (- 1 k) 1)) 1/4) (sqrt k))))
77.381 * * * * [progress]: [ 123 / 184 ] simplifiying candidate #<alt (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)) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.382 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
77.382 * * [simplify]: iters left: 6 (6 enodes)
77.387 * * [simplify]: iters left: 5 (29 enodes)
77.397 * * [simplify]: iters left: 4 (44 enodes)
77.411 * * [simplify]: iters left: 3 (50 enodes)
77.427 * * [simplify]: iters left: 2 (57 enodes)
77.444 * * [simplify]: Extracting #0: cost 1 inf + 0
77.444 * * [simplify]: Extracting #1: cost 9 inf + 0
77.444 * * [simplify]: Extracting #2: cost 15 inf + 3
77.445 * * [simplify]: Extracting #3: cost 11 inf + 131
77.445 * * [simplify]: Extracting #4: cost 2 inf + 711
77.446 * * [simplify]: Extracting #5: cost 0 inf + 836
77.446 * [simplify]: Simplified to (- 1/4 (/ k 4))
77.446 * [simplify]: Simplified (2 2 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)) 1) (- 1/4 (/ k 4))) (sqrt k))))
77.447 * * * * [progress]: [ 124 / 184 ] simplifiying candidate #<alt (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)) (/ (- 1 k) 2)) (/ 1 2)) (sqrt k))))>
77.447 * [simplify]: Simplifying (/ 1 2)
77.447 * * [simplify]: iters left: 2 (3 enodes)
77.450 * * [simplify]: iters left: 1 (12 enodes)
77.456 * * [simplify]: Extracting #0: cost 1 inf + 0
77.456 * * [simplify]: Extracting #1: cost 0 inf + 1
77.456 * [simplify]: Simplified to 1/2
77.456 * [simplify]: Simplified (2 2 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)) (/ (- 1 k) 2)) 1/2) (sqrt k))))
77.457 * * * * [progress]: [ 125 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
77.457 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
77.457 * * [simplify]: iters left: 6 (8 enodes)
77.464 * * [simplify]: iters left: 5 (38 enodes)
77.478 * * [simplify]: iters left: 4 (66 enodes)
77.505 * * [simplify]: iters left: 3 (110 enodes)
77.531 * * [simplify]: iters left: 2 (200 enodes)
77.591 * * [simplify]: iters left: 1 (403 enodes)
77.803 * * [simplify]: Extracting #0: cost 1 inf + 0
77.803 * * [simplify]: Extracting #1: cost 26 inf + 0
77.804 * * [simplify]: Extracting #2: cost 100 inf + 2
77.805 * * [simplify]: Extracting #3: cost 164 inf + 10
77.807 * * [simplify]: Extracting #4: cost 163 inf + 641
77.812 * * [simplify]: Extracting #5: cost 72 inf + 12998
77.824 * * [simplify]: Extracting #6: cost 25 inf + 35040
77.841 * * [simplify]: Extracting #7: cost 0 inf + 54806
77.850 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
77.850 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (sqrt k))))
77.850 * * * * [progress]: [ 126 / 184 ] simplifiying candidate #<alt (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)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt k))))>
77.850 * * * * [progress]: [ 127 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
77.850 * * * * [progress]: [ 128 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
77.850 * * * * [progress]: [ 129 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 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))))>
77.850 * * * * [progress]: [ 130 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 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))))>
77.850 * * * * [progress]: [ 131 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
77.850 * * * * [progress]: [ 132 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
77.850 * * * * [progress]: [ 133 / 184 ] simplifiying candidate #<alt (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) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt k))))>
77.850 * * * * [progress]: [ 134 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
77.850 * * * * [progress]: [ 135 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (log1p (expm1 (cbrt (- 1 k)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.850 * * * * [progress]: [ 136 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (expm1 (log1p (cbrt (- 1 k)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.850 * * * * [progress]: [ 137 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (pow (- 1 k) 1/3) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.851 * * * * [progress]: [ 138 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (pow (cbrt (- 1 k)) 1) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.851 * * * * [progress]: [ 139 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (exp (log (cbrt (- 1 k)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.851 * * * * [progress]: [ 140 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (log (exp (cbrt (- 1 k)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.851 * * * * [progress]: [ 141 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.851 * [simplify]: Simplifying (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
77.851 * * [simplify]: iters left: 6 (6 enodes)
77.853 * * [simplify]: iters left: 5 (22 enodes)
77.857 * * [simplify]: iters left: 4 (27 enodes)
77.862 * * [simplify]: Extracting #0: cost 1 inf + 0
77.862 * * [simplify]: Extracting #1: cost 3 inf + 0
77.862 * * [simplify]: Extracting #2: cost 5 inf + 0
77.862 * * [simplify]: Extracting #3: cost 7 inf + 0
77.862 * * [simplify]: Extracting #4: cost 11 inf + 0
77.862 * * [simplify]: Extracting #5: cost 7 inf + 127
77.862 * * [simplify]: Extracting #6: cost 1 inf + 978
77.863 * * [simplify]: Extracting #7: cost 0 inf + 1220
77.863 * [simplify]: Simplified to (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
77.863 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
77.863 * * * * [progress]: [ 142 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (* (cbrt (sqrt (- 1 k))) (cbrt (sqrt (- 1 k)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.863 * [simplify]: Simplifying (cbrt (sqrt (- 1 k)))
77.863 * * [simplify]: iters left: 4 (5 enodes)
77.865 * * [simplify]: iters left: 3 (19 enodes)
77.869 * * [simplify]: iters left: 2 (24 enodes)
77.873 * * [simplify]: Extracting #0: cost 1 inf + 0
77.873 * * [simplify]: Extracting #1: cost 3 inf + 0
77.874 * * [simplify]: Extracting #2: cost 5 inf + 0
77.874 * * [simplify]: Extracting #3: cost 9 inf + 0
77.874 * * [simplify]: Extracting #4: cost 7 inf + 43
77.874 * * [simplify]: Extracting #5: cost 0 inf + 656
77.874 * [simplify]: Simplified to (cbrt (sqrt (- 1 k)))
77.874 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (* (cbrt (sqrt (- 1 k))) (cbrt (sqrt (- 1 k)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
77.874 * * * * [progress]: [ 143 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (* (cbrt 1) (cbrt (- 1 k))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.875 * [simplify]: Simplifying (cbrt 1)
77.875 * * [simplify]: iters left: 1 (2 enodes)
77.878 * * [simplify]: Extracting #0: cost 1 inf + 0
77.878 * * [simplify]: Extracting #1: cost 0 inf + 1
77.878 * [simplify]: Simplified to 1
77.878 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (* 1 (cbrt (- 1 k))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
77.878 * * * * [progress]: [ 144 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (* (cbrt (+ (sqrt 1) (sqrt k))) (cbrt (- (sqrt 1) (sqrt k)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.878 * [simplify]: Simplifying (cbrt (+ (sqrt 1) (sqrt k)))
77.878 * * [simplify]: iters left: 4 (6 enodes)
77.883 * * [simplify]: iters left: 3 (21 enodes)
77.889 * * [simplify]: iters left: 2 (23 enodes)
77.894 * * [simplify]: Extracting #0: cost 1 inf + 0
77.894 * * [simplify]: Extracting #1: cost 3 inf + 0
77.894 * * [simplify]: Extracting #2: cost 6 inf + 0
77.894 * * [simplify]: Extracting #3: cost 7 inf + 1
77.894 * * [simplify]: Extracting #4: cost 1 inf + 410
77.895 * * [simplify]: Extracting #5: cost 0 inf + 572
77.895 * [simplify]: Simplified to (cbrt (+ (sqrt k) 1))
77.895 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (* (cbrt (+ (sqrt k) 1)) (cbrt (- (sqrt 1) (sqrt k)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
77.895 * * * * [progress]: [ 145 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.895 * [simplify]: Simplifying (cbrt (+ 1 (sqrt k)))
77.895 * * [simplify]: iters left: 4 (5 enodes)
77.897 * * [simplify]: iters left: 3 (18 enodes)
77.900 * * [simplify]: iters left: 2 (20 enodes)
77.904 * * [simplify]: Extracting #0: cost 1 inf + 0
77.904 * * [simplify]: Extracting #1: cost 3 inf + 0
77.904 * * [simplify]: Extracting #2: cost 6 inf + 0
77.904 * * [simplify]: Extracting #3: cost 7 inf + 1
77.904 * * [simplify]: Extracting #4: cost 0 inf + 572
77.904 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k)))
77.904 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
77.904 * * * * [progress]: [ 146 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (* (cbrt 1) (cbrt (- 1 k))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.904 * [simplify]: Simplifying (cbrt 1)
77.904 * * [simplify]: iters left: 1 (2 enodes)
77.906 * * [simplify]: Extracting #0: cost 1 inf + 0
77.907 * * [simplify]: Extracting #1: cost 0 inf + 1
77.907 * [simplify]: Simplified to 1
77.907 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (* 1 (cbrt (- 1 k))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
77.907 * * * * [progress]: [ 147 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.907 * [simplify]: Simplifying (cbrt (- (pow 1 3) (pow k 3)))
77.907 * * [simplify]: iters left: 4 (7 enodes)
77.910 * * [simplify]: iters left: 3 (33 enodes)
77.923 * * [simplify]: iters left: 2 (64 enodes)
77.948 * * [simplify]: iters left: 1 (111 enodes)
77.991 * * [simplify]: Extracting #0: cost 1 inf + 0
77.991 * * [simplify]: Extracting #1: cost 3 inf + 0
77.991 * * [simplify]: Extracting #2: cost 13 inf + 0
77.991 * * [simplify]: Extracting #3: cost 30 inf + 43
77.992 * * [simplify]: Extracting #4: cost 31 inf + 653
77.992 * * [simplify]: Extracting #5: cost 22 inf + 1808
77.994 * * [simplify]: Extracting #6: cost 4 inf + 7992
77.995 * * [simplify]: Extracting #7: cost 0 inf + 9753
77.997 * [simplify]: Simplified to (cbrt (- 1 (* k (* k k))))
77.997 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
77.997 * * * * [progress]: [ 148 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- (* 1 1) (* k k))) (cbrt (+ 1 k))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
77.998 * [simplify]: Simplifying (cbrt (- (* 1 1) (* k k)))
77.998 * * [simplify]: iters left: 5 (6 enodes)
78.001 * * [simplify]: iters left: 4 (21 enodes)
78.008 * * [simplify]: iters left: 3 (29 enodes)
78.017 * * [simplify]: iters left: 2 (33 enodes)
78.026 * * [simplify]: Extracting #0: cost 1 inf + 0
78.026 * * [simplify]: Extracting #1: cost 3 inf + 0
78.026 * * [simplify]: Extracting #2: cost 9 inf + 0
78.026 * * [simplify]: Extracting #3: cost 7 inf + 165
78.026 * * [simplify]: Extracting #4: cost 1 inf + 654
78.027 * * [simplify]: Extracting #5: cost 0 inf + 816
78.027 * [simplify]: Simplified to (cbrt (- 1 (* k k)))
78.027 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 (* k k))) (cbrt (+ 1 k))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
78.027 * * * * [progress]: [ 149 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.027 * * * * [progress]: [ 150 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (* (* (cbrt (- 1 k)) (cbrt (- 1 k))) (cbrt (- 1 k)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.027 * * * * [progress]: [ 151 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (* (sqrt (cbrt (- 1 k))) (sqrt (cbrt (- 1 k)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.028 * * * * [progress]: [ 152 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (* 1 (cbrt (- 1 k))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.028 * * * * [progress]: [ 153 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (posit16->real (real->posit16 (cbrt (- 1 k)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.028 * * * * [progress]: [ 154 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (log1p (expm1 (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.028 * * * * [progress]: [ 155 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (expm1 (log1p (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.028 * * * * [progress]: [ 156 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (pow (- 1 k) 1/3)) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.028 * * * * [progress]: [ 157 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (pow (cbrt (- 1 k)) 1)) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.028 * * * * [progress]: [ 158 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (exp (log (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.028 * * * * [progress]: [ 159 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (log (exp (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.028 * * * * [progress]: [ 160 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.028 * [simplify]: Simplifying (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
78.029 * * [simplify]: iters left: 6 (6 enodes)
78.032 * * [simplify]: iters left: 5 (22 enodes)
78.039 * * [simplify]: iters left: 4 (27 enodes)
78.048 * * [simplify]: Extracting #0: cost 1 inf + 0
78.048 * * [simplify]: Extracting #1: cost 3 inf + 0
78.048 * * [simplify]: Extracting #2: cost 5 inf + 0
78.048 * * [simplify]: Extracting #3: cost 7 inf + 0
78.048 * * [simplify]: Extracting #4: cost 11 inf + 0
78.048 * * [simplify]: Extracting #5: cost 7 inf + 127
78.049 * * [simplify]: Extracting #6: cost 1 inf + 978
78.049 * * [simplify]: Extracting #7: cost 0 inf + 1220
78.049 * [simplify]: Simplified to (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
78.049 * [simplify]: Simplified (2 1 1 1 2 1 1 2 1) to (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
78.050 * * * * [progress]: [ 161 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt (sqrt (- 1 k))) (cbrt (sqrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.050 * [simplify]: Simplifying (cbrt (sqrt (- 1 k)))
78.050 * * [simplify]: iters left: 4 (5 enodes)
78.053 * * [simplify]: iters left: 3 (19 enodes)
78.059 * * [simplify]: iters left: 2 (24 enodes)
78.067 * * [simplify]: Extracting #0: cost 1 inf + 0
78.067 * * [simplify]: Extracting #1: cost 3 inf + 0
78.067 * * [simplify]: Extracting #2: cost 5 inf + 0
78.067 * * [simplify]: Extracting #3: cost 9 inf + 0
78.067 * * [simplify]: Extracting #4: cost 7 inf + 43
78.067 * * [simplify]: Extracting #5: cost 0 inf + 656
78.068 * [simplify]: Simplified to (cbrt (sqrt (- 1 k)))
78.068 * [simplify]: Simplified (2 1 1 1 2 1 1 2 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt (sqrt (- 1 k))) (cbrt (sqrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
78.068 * * * * [progress]: [ 162 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt 1) (cbrt (- 1 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.068 * [simplify]: Simplifying (cbrt 1)
78.068 * * [simplify]: iters left: 1 (2 enodes)
78.072 * * [simplify]: Extracting #0: cost 1 inf + 0
78.072 * * [simplify]: Extracting #1: cost 0 inf + 1
78.072 * [simplify]: Simplified to 1
78.072 * [simplify]: Simplified (2 1 1 1 2 1 1 2 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* 1 (cbrt (- 1 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
78.072 * * * * [progress]: [ 163 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt (+ (sqrt 1) (sqrt k))) (cbrt (- (sqrt 1) (sqrt k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.072 * [simplify]: Simplifying (cbrt (+ (sqrt 1) (sqrt k)))
78.073 * * [simplify]: iters left: 4 (6 enodes)
78.077 * * [simplify]: iters left: 3 (21 enodes)
78.083 * * [simplify]: iters left: 2 (23 enodes)
78.091 * * [simplify]: Extracting #0: cost 1 inf + 0
78.091 * * [simplify]: Extracting #1: cost 3 inf + 0
78.091 * * [simplify]: Extracting #2: cost 6 inf + 0
78.091 * * [simplify]: Extracting #3: cost 7 inf + 1
78.091 * * [simplify]: Extracting #4: cost 1 inf + 410
78.091 * * [simplify]: Extracting #5: cost 0 inf + 572
78.091 * [simplify]: Simplified to (cbrt (+ (sqrt k) 1))
78.091 * [simplify]: Simplified (2 1 1 1 2 1 1 2 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt (+ (sqrt k) 1)) (cbrt (- (sqrt 1) (sqrt k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
78.092 * * * * [progress]: [ 164 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt (+ 1 (sqrt k))) (cbrt (- 1 (sqrt k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.092 * [simplify]: Simplifying (cbrt (+ 1 (sqrt k)))
78.092 * * [simplify]: iters left: 4 (5 enodes)
78.095 * * [simplify]: iters left: 3 (18 enodes)
78.101 * * [simplify]: iters left: 2 (20 enodes)
78.107 * * [simplify]: Extracting #0: cost 1 inf + 0
78.107 * * [simplify]: Extracting #1: cost 3 inf + 0
78.107 * * [simplify]: Extracting #2: cost 6 inf + 0
78.107 * * [simplify]: Extracting #3: cost 7 inf + 1
78.108 * * [simplify]: Extracting #4: cost 0 inf + 572
78.108 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k)))
78.108 * [simplify]: Simplified (2 1 1 1 2 1 1 2 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt (+ 1 (sqrt k))) (cbrt (- 1 (sqrt k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
78.108 * * * * [progress]: [ 165 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt 1) (cbrt (- 1 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.109 * [simplify]: Simplifying (cbrt 1)
78.109 * * [simplify]: iters left: 1 (2 enodes)
78.112 * * [simplify]: Extracting #0: cost 1 inf + 0
78.112 * * [simplify]: Extracting #1: cost 0 inf + 1
78.112 * [simplify]: Simplified to 1
78.112 * [simplify]: Simplified (2 1 1 1 2 1 1 2 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* 1 (cbrt (- 1 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
78.112 * * * * [progress]: [ 166 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.112 * [simplify]: Simplifying (cbrt (- (pow 1 3) (pow k 3)))
78.113 * * [simplify]: iters left: 4 (7 enodes)
78.118 * * [simplify]: iters left: 3 (33 enodes)
78.135 * * [simplify]: iters left: 2 (64 enodes)
78.155 * * [simplify]: iters left: 1 (111 enodes)
78.176 * * [simplify]: Extracting #0: cost 1 inf + 0
78.176 * * [simplify]: Extracting #1: cost 3 inf + 0
78.176 * * [simplify]: Extracting #2: cost 13 inf + 0
78.176 * * [simplify]: Extracting #3: cost 30 inf + 43
78.177 * * [simplify]: Extracting #4: cost 31 inf + 653
78.177 * * [simplify]: Extracting #5: cost 22 inf + 1808
78.178 * * [simplify]: Extracting #6: cost 4 inf + 7992
78.179 * * [simplify]: Extracting #7: cost 0 inf + 9753
78.179 * [simplify]: Simplified to (cbrt (- 1 (* k (* k k))))
78.180 * [simplify]: Simplified (2 1 1 1 2 1 1 2 1) to (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
78.180 * * * * [progress]: [ 167 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (/ (cbrt (- (* 1 1) (* k k))) (cbrt (+ 1 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.180 * [simplify]: Simplifying (cbrt (- (* 1 1) (* k k)))
78.180 * * [simplify]: iters left: 5 (6 enodes)
78.182 * * [simplify]: iters left: 4 (21 enodes)
78.186 * * [simplify]: iters left: 3 (29 enodes)
78.191 * * [simplify]: iters left: 2 (33 enodes)
78.195 * * [simplify]: Extracting #0: cost 1 inf + 0
78.195 * * [simplify]: Extracting #1: cost 3 inf + 0
78.195 * * [simplify]: Extracting #2: cost 9 inf + 0
78.196 * * [simplify]: Extracting #3: cost 7 inf + 165
78.196 * * [simplify]: Extracting #4: cost 1 inf + 654
78.196 * * [simplify]: Extracting #5: cost 0 inf + 816
78.196 * [simplify]: Simplified to (cbrt (- 1 (* k k)))
78.196 * [simplify]: Simplified (2 1 1 1 2 1 1 2 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (/ (cbrt (- 1 (* k k))) (cbrt (+ 1 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
78.196 * * * * [progress]: [ 168 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.196 * * * * [progress]: [ 169 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (* (* (cbrt (- 1 k)) (cbrt (- 1 k))) (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.196 * * * * [progress]: [ 170 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (sqrt (cbrt (- 1 k))) (sqrt (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.196 * * * * [progress]: [ 171 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* 1 (cbrt (- 1 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.197 * * * * [progress]: [ 172 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (posit16->real (real->posit16 (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.197 * * * * [progress]: [ 173 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.197 * [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)))))))))
78.197 * * [simplify]: iters left: 6 (42 enodes)
78.220 * * [simplify]: iters left: 5 (215 enodes)
78.286 * * [simplify]: Extracting #0: cost 1 inf + 0
78.286 * * [simplify]: Extracting #1: cost 29 inf + 0
78.287 * * [simplify]: Extracting #2: cost 130 inf + 1
78.288 * * [simplify]: Extracting #3: cost 220 inf + 395
78.289 * * [simplify]: Extracting #4: cost 211 inf + 3867
78.293 * * [simplify]: Extracting #5: cost 114 inf + 25897
78.303 * * [simplify]: Extracting #6: cost 32 inf + 58365
78.321 * * [simplify]: Extracting #7: cost 3 inf + 81935
78.359 * * [simplify]: Extracting #8: cost 0 inf + 84392
78.395 * * [simplify]: Extracting #9: cost 0 inf + 84367
78.431 * [simplify]: Simplified to (fma 2/9 (* (* (* k k) (* n (* PI 2))) (* (log (* PI 2)) (log (* PI 2)))) (- (fma (* 4/9 (log n)) (* (* n (* PI 2)) (* (* k k) (log (* PI 2)))) (fma (* (* (* (log n) k) (* (log n) k)) (* n (* PI 2))) 2/9 (* n (* PI 2)))) (+ (* 1/9 (+ (* (* (* (log n) n) (* PI 2)) (* k k)) (* (* n (* PI 2)) (* (* k k) (log (* PI 2)))))) (+ (* (* (* k 2/3) (* n (* PI 2))) (log (* PI 2))) (* (* k 2/3) (* (* (log n) n) (* PI 2)))))))
78.431 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (fma 2/9 (* (* (* k k) (* n (* PI 2))) (* (log (* PI 2)) (log (* PI 2)))) (- (fma (* 4/9 (log n)) (* (* n (* PI 2)) (* (* k k) (log (* PI 2)))) (fma (* (* (* (log n) k) (* (log n) k)) (* n (* PI 2))) 2/9 (* n (* PI 2)))) (+ (* 1/9 (+ (* (* (* (log n) n) (* PI 2)) (* k k)) (* (* n (* PI 2)) (* (* k k) (log (* PI 2)))))) (+ (* (* (* k 2/3) (* n (* PI 2))) (log (* PI 2))) (* (* k 2/3) (* (* (log n) n) (* PI 2))))))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
78.432 * * * * [progress]: [ 174 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.433 * [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)))))))
78.433 * * [simplify]: iters left: 6 (59 enodes)
78.471 * * [simplify]: iters left: 5 (302 enodes)
78.565 * * [simplify]: Extracting #0: cost 1 inf + 0
78.565 * * [simplify]: Extracting #1: cost 29 inf + 0
78.565 * * [simplify]: Extracting #2: cost 145 inf + 1
78.566 * * [simplify]: Extracting #3: cost 274 inf + 4
78.567 * * [simplify]: Extracting #4: cost 334 inf + 8
78.569 * * [simplify]: Extracting #5: cost 311 inf + 5327
78.577 * * [simplify]: Extracting #6: cost 168 inf + 70517
78.619 * * [simplify]: Extracting #7: cost 32 inf + 171901
78.665 * * [simplify]: Extracting #8: cost 4 inf + 207490
78.713 * * [simplify]: Extracting #9: cost 0 inf + 210374
78.757 * * [simplify]: Extracting #10: cost 0 inf + 208921
78.835 * * [simplify]: Extracting #11: cost 0 inf + 208781
78.879 * [simplify]: Simplified to (- (fma (* (cbrt (/ 1 (* (* k k) (* k k)))) 1/9) (* (- (log n)) (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k))))) (fma (* (cbrt (/ 1 (* k k))) 2/9) (* (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k)))) (* (log n) (log n))) (fma (* (cbrt (/ 1 k)) 2/3) (* (- (log n)) (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k))))) (fma (* (* (* (log (* 2 PI)) (log (* 2 PI))) (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k))))) (cbrt (/ 1 (* k k)))) 2/9 (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k)))))))) (fma (* (cbrt (/ 1 k)) 2/3) (* (log (* 2 PI)) (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k))))) (fma (* (* 1/9 (log (* 2 PI))) (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k))))) (cbrt (/ 1 (* (* k k) (* k k)))) (* (* (* (* (- (log n)) (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k))))) (log (* 2 PI))) (cbrt (/ 1 (* k k)))) 4/9))))
78.879 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (- (fma (* (cbrt (/ 1 (* (* k k) (* k k)))) 1/9) (* (- (log n)) (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k))))) (fma (* (cbrt (/ 1 (* k k))) 2/9) (* (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k)))) (* (log n) (log n))) (fma (* (cbrt (/ 1 k)) 2/3) (* (- (log n)) (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k))))) (fma (* (* (* (log (* 2 PI)) (log (* 2 PI))) (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k))))) (cbrt (/ 1 (* k k)))) 2/9 (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k)))))))) (fma (* (cbrt (/ 1 k)) 2/3) (* (log (* 2 PI)) (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k))))) (fma (* (* 1/9 (log (* 2 PI))) (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k))))) (cbrt (/ 1 (* (* k k) (* k k)))) (* (* (* (* (- (log n)) (exp (* (+ (log (* 2 PI)) (log n)) (cbrt (* k k))))) (log (* 2 PI))) (cbrt (/ 1 (* k k)))) 4/9)))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
78.879 * * * * [progress]: [ 175 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
78.880 * [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))))))))))
78.880 * * [simplify]: iters left: 6 (61 enodes)
78.922 * * [simplify]: iters left: 5 (308 enodes)
79.009 * * [simplify]: Extracting #0: cost 1 inf + 0
79.009 * * [simplify]: Extracting #1: cost 27 inf + 0
79.010 * * [simplify]: Extracting #2: cost 128 inf + 1
79.010 * * [simplify]: Extracting #3: cost 260 inf + 5
79.011 * * [simplify]: Extracting #4: cost 329 inf + 7
79.013 * * [simplify]: Extracting #5: cost 298 inf + 4080
79.016 * * [simplify]: Extracting #6: cost 232 inf + 21612
79.034 * * [simplify]: Extracting #7: cost 130 inf + 82673
79.061 * * [simplify]: Extracting #8: cost 26 inf + 167667
79.139 * * [simplify]: Extracting #9: cost 0 inf + 206857
79.216 * * [simplify]: Extracting #10: cost 0 inf + 206607
79.274 * [simplify]: Simplified to (fma (* (* 1/9 (log (/ -1 n))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (cbrt (/ 1 (* (* k k) (* k k)))) (- (fma (* (* 2/9 (* (log (/ -1 n)) (log (/ -1 n)))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (cbrt (/ 1 (* k k))) (fma (* (* 2/9 (* (log (* -2 PI)) (log (* -2 PI)))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (cbrt (/ 1 (* k k))) (fma (* (* 2/3 (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (log (/ -1 n))) (cbrt (/ 1 k)) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))))) (fma 1/9 (* (* (cbrt (/ 1 (* (* k k) (* k k)))) (log (* -2 PI))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (fma 2/3 (* (log (* -2 PI)) (* (cbrt (/ 1 k)) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (* (* (* (cbrt (/ 1 (* k k))) (* (log (/ -1 n)) (log (* -2 PI)))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) 4/9)))))
79.274 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (fma (* (* 1/9 (log (/ -1 n))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (cbrt (/ 1 (* (* k k) (* k k)))) (- (fma (* (* 2/9 (* (log (/ -1 n)) (log (/ -1 n)))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (cbrt (/ 1 (* k k))) (fma (* (* 2/9 (* (log (* -2 PI)) (log (* -2 PI)))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (cbrt (/ 1 (* k k))) (fma (* (* 2/3 (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (log (/ -1 n))) (cbrt (/ 1 k)) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))))) (fma 1/9 (* (* (cbrt (/ 1 (* (* k k) (* k k)))) (log (* -2 PI))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (fma 2/3 (* (log (* -2 PI)) (* (cbrt (/ 1 k)) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (* (* (* (cbrt (/ 1 (* k k))) (* (log (/ -1 n)) (log (* -2 PI)))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) 4/9))))) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
79.275 * * * * [progress]: [ 176 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 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))))>
79.275 * [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)))))))
79.276 * * [simplify]: iters left: 6 (37 enodes)
79.300 * * [simplify]: iters left: 5 (193 enodes)
79.389 * * [simplify]: Extracting #0: cost 1 inf + 0
79.389 * * [simplify]: Extracting #1: cost 22 inf + 0
79.389 * * [simplify]: Extracting #2: cost 104 inf + 1
79.390 * * [simplify]: Extracting #3: cost 170 inf + 88
79.392 * * [simplify]: Extracting #4: cost 195 inf + 509
79.397 * * [simplify]: Extracting #5: cost 136 inf + 15293
79.410 * * [simplify]: Extracting #6: cost 47 inf + 48666
79.425 * * [simplify]: Extracting #7: cost 3 inf + 79281
79.449 * * [simplify]: Extracting #8: cost 0 inf + 80934
79.482 * * [simplify]: Extracting #9: cost 0 inf + 80864
79.506 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))))))
79.506 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) (sqrt k))))
79.506 * * * * [progress]: [ 177 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k))))>
79.507 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
79.507 * * [simplify]: iters left: 6 (15 enodes)
79.512 * * [simplify]: iters left: 5 (65 enodes)
79.525 * * [simplify]: iters left: 4 (123 enodes)
79.579 * * [simplify]: iters left: 3 (366 enodes)
79.805 * * [simplify]: Extracting #0: cost 1 inf + 0
79.805 * * [simplify]: Extracting #1: cost 37 inf + 0
79.805 * * [simplify]: Extracting #2: cost 212 inf + 143
79.811 * * [simplify]: Extracting #3: cost 347 inf + 1812
79.821 * * [simplify]: Extracting #4: cost 207 inf + 31167
79.848 * * [simplify]: Extracting #5: cost 25 inf + 82567
79.880 * * [simplify]: Extracting #6: cost 0 inf + 89048
79.911 * * [simplify]: Extracting #7: cost 0 inf + 88844
79.935 * * [simplify]: Extracting #8: cost 0 inf + 88842
79.953 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))
79.953 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) (sqrt k))))
79.953 * * * * [progress]: [ 178 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k))))>
79.953 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
79.953 * * [simplify]: iters left: 6 (16 enodes)
79.959 * * [simplify]: iters left: 5 (67 enodes)
79.979 * * [simplify]: iters left: 4 (134 enodes)
80.017 * * [simplify]: iters left: 3 (412 enodes)
80.201 * * [simplify]: Extracting #0: cost 1 inf + 0
80.201 * * [simplify]: Extracting #1: cost 39 inf + 0
80.202 * * [simplify]: Extracting #2: cost 241 inf + 72
80.204 * * [simplify]: Extracting #3: cost 448 inf + 1069
80.209 * * [simplify]: Extracting #4: cost 308 inf + 32324
80.227 * * [simplify]: Extracting #5: cost 42 inf + 110073
80.277 * * [simplify]: Extracting #6: cost 0 inf + 122155
80.307 * * [simplify]: Extracting #7: cost 0 inf + 121985
80.338 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
80.338 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k))))
80.338 * * * * [progress]: [ 179 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (- 1 (+ (* 1/9 (pow k 2)) (* 1/3 k))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
80.339 * [simplify]: Simplifying (- 1 (+ (* 1/9 (pow k 2)) (* 1/3 k)))
80.339 * * [simplify]: iters left: 6 (10 enodes)
80.346 * * [simplify]: iters left: 5 (44 enodes)
80.362 * * [simplify]: iters left: 4 (66 enodes)
80.385 * * [simplify]: iters left: 3 (116 enodes)
80.432 * * [simplify]: iters left: 2 (225 enodes)
80.511 * * [simplify]: iters left: 1 (302 enodes)
80.580 * * [simplify]: Extracting #0: cost 1 inf + 0
80.580 * * [simplify]: Extracting #1: cost 29 inf + 0
80.581 * * [simplify]: Extracting #2: cost 41 inf + 419
80.584 * * [simplify]: Extracting #3: cost 7 inf + 3484
80.588 * * [simplify]: Extracting #4: cost 0 inf + 3896
80.591 * * [simplify]: Extracting #5: cost 0 inf + 3796
80.595 * [simplify]: Simplified to (fma (fma -1/9 k -1/3) k 1)
80.595 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (fma (fma -1/9 k -1/3) k 1) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
80.595 * * * * [progress]: [ 180 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
80.596 * [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))))
80.596 * * [simplify]: iters left: 6 (19 enodes)
80.610 * * [simplify]: iters left: 5 (84 enodes)
80.642 * * [simplify]: iters left: 4 (135 enodes)
80.691 * * [simplify]: iters left: 3 (269 enodes)
80.793 * * [simplify]: Extracting #0: cost 1 inf + 0
80.794 * * [simplify]: Extracting #1: cost 29 inf + 0
80.794 * * [simplify]: Extracting #2: cost 115 inf + 4
80.796 * * [simplify]: Extracting #3: cost 171 inf + 387
80.799 * * [simplify]: Extracting #4: cost 130 inf + 12043
80.810 * * [simplify]: Extracting #5: cost 68 inf + 31923
80.821 * * [simplify]: Extracting #6: cost 52 inf + 25387
80.834 * * [simplify]: Extracting #7: cost 16 inf + 43548
80.843 * * [simplify]: Extracting #8: cost 0 inf + 53871
80.851 * [simplify]: Simplified to (fma (/ (cbrt (* -1 k)) k) -1/3 (fma (/ -1/9 k) (/ (cbrt (* -1 k)) k) (cbrt (* -1 k))))
80.851 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (fma (/ (cbrt (* -1 k)) k) -1/3 (fma (/ -1/9 k) (/ (cbrt (* -1 k)) k) (cbrt (* -1 k)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
80.851 * * * * [progress]: [ 181 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
80.852 * [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))))
80.852 * * [simplify]: iters left: 6 (19 enodes)
80.860 * * [simplify]: iters left: 5 (86 enodes)
80.895 * * [simplify]: iters left: 4 (164 enodes)
80.965 * * [simplify]: iters left: 3 (354 enodes)
81.126 * * [simplify]: Extracting #0: cost 1 inf + 0
81.126 * * [simplify]: Extracting #1: cost 35 inf + 0
81.127 * * [simplify]: Extracting #2: cost 117 inf + 4
81.128 * * [simplify]: Extracting #3: cost 149 inf + 8
81.129 * * [simplify]: Extracting #4: cost 156 inf + 1278
81.132 * * [simplify]: Extracting #5: cost 136 inf + 8307
81.139 * * [simplify]: Extracting #6: cost 68 inf + 37654
81.154 * * [simplify]: Extracting #7: cost 7 inf + 69649
81.177 * * [simplify]: Extracting #8: cost 0 inf + 73250
81.186 * [simplify]: Simplified to (fma -1/9 (cbrt (/ -1 (pow k 5))) (fma (cbrt (/ (/ -1 k) k)) -1/3 (pow (/ -1 k) -1/3)))
81.186 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (fma -1/9 (cbrt (/ -1 (pow k 5))) (fma (cbrt (/ (/ -1 k) k)) -1/3 (pow (/ -1 k) -1/3))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
81.187 * * * * [progress]: [ 182 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (- 1 (+ (* 1/9 (pow k 2)) (* 1/3 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
81.187 * [simplify]: Simplifying (- 1 (+ (* 1/9 (pow k 2)) (* 1/3 k)))
81.187 * * [simplify]: iters left: 6 (10 enodes)
81.191 * * [simplify]: iters left: 5 (44 enodes)
81.200 * * [simplify]: iters left: 4 (66 enodes)
81.215 * * [simplify]: iters left: 3 (116 enodes)
81.260 * * [simplify]: iters left: 2 (225 enodes)
81.317 * * [simplify]: iters left: 1 (302 enodes)
81.392 * * [simplify]: Extracting #0: cost 1 inf + 0
81.393 * * [simplify]: Extracting #1: cost 29 inf + 0
81.393 * * [simplify]: Extracting #2: cost 41 inf + 419
81.396 * * [simplify]: Extracting #3: cost 7 inf + 3484
81.400 * * [simplify]: Extracting #4: cost 0 inf + 3896
81.403 * * [simplify]: Extracting #5: cost 0 inf + 3796
81.406 * [simplify]: Simplified to (fma (fma -1/9 k -1/3) k 1)
81.407 * [simplify]: Simplified (2 1 1 1 2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (fma (fma -1/9 k -1/3) k 1)) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
81.407 * * * * [progress]: [ 183 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
81.407 * [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))))
81.407 * * [simplify]: iters left: 6 (19 enodes)
81.420 * * [simplify]: iters left: 5 (84 enodes)
81.449 * * [simplify]: iters left: 4 (135 enodes)
81.497 * * [simplify]: iters left: 3 (269 enodes)
81.561 * * [simplify]: Extracting #0: cost 1 inf + 0
81.561 * * [simplify]: Extracting #1: cost 29 inf + 0
81.562 * * [simplify]: Extracting #2: cost 115 inf + 4
81.563 * * [simplify]: Extracting #3: cost 171 inf + 387
81.565 * * [simplify]: Extracting #4: cost 130 inf + 12043
81.573 * * [simplify]: Extracting #5: cost 68 inf + 31923
81.579 * * [simplify]: Extracting #6: cost 52 inf + 25387
81.585 * * [simplify]: Extracting #7: cost 16 inf + 43548
81.593 * * [simplify]: Extracting #8: cost 0 inf + 53871
81.601 * [simplify]: Simplified to (fma (/ (cbrt (* -1 k)) k) -1/3 (fma (/ -1/9 k) (/ (cbrt (* -1 k)) k) (cbrt (* -1 k))))
81.601 * [simplify]: Simplified (2 1 1 1 2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (fma (/ (cbrt (* -1 k)) k) -1/3 (fma (/ -1/9 k) (/ (cbrt (* -1 k)) k) (cbrt (* -1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
81.601 * * * * [progress]: [ 184 / 184 ] simplifiying candidate #<alt (λ (k n) (* (/ (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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
81.602 * [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))))
81.602 * * [simplify]: iters left: 6 (19 enodes)
81.609 * * [simplify]: iters left: 5 (86 enodes)
81.639 * * [simplify]: iters left: 4 (164 enodes)
81.712 * * [simplify]: iters left: 3 (354 enodes)
81.805 * * [simplify]: Extracting #0: cost 1 inf + 0
81.805 * * [simplify]: Extracting #1: cost 35 inf + 0
81.805 * * [simplify]: Extracting #2: cost 117 inf + 4
81.806 * * [simplify]: Extracting #3: cost 149 inf + 8
81.806 * * [simplify]: Extracting #4: cost 156 inf + 1278
81.808 * * [simplify]: Extracting #5: cost 136 inf + 8307
81.811 * * [simplify]: Extracting #6: cost 68 inf + 37654
81.819 * * [simplify]: Extracting #7: cost 7 inf + 69649
81.827 * * [simplify]: Extracting #8: cost 0 inf + 73250
81.835 * [simplify]: Simplified to (fma -1/9 (cbrt (/ -1 (pow k 5))) (fma (cbrt (/ (/ -1 k) k)) -1/3 (pow (/ -1 k) -1/3)))
81.835 * [simplify]: Simplified (2 1 1 1 2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (fma -1/9 (cbrt (/ -1 (pow k 5))) (fma (cbrt (/ (/ -1 k) k)) -1/3 (pow (/ -1 k) -1/3)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
81.835 * * * [progress]: adding candidates to table
85.295 * [progress]: [Phase 3 of 3] Extracting.
85.295 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (cbrt (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt 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) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))> #<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 (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<alt (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))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>)
85.298 * * * [regime-changes]: Trying 2 branch expressions: (n k)
85.298 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (cbrt (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt 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) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))> #<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 (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<alt (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))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>)
85.385 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (cbrt (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt 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) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))> #<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 (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<alt (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))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>)
85.460 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
85.460 * [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)))
85.460 * * [simplify]: iters left: 6 (19 enodes)
85.462 * * [simplify]: iters left: 5 (25 enodes)
85.463 * * [simplify]: Extracting #0: cost 1 inf + 0
85.463 * * [simplify]: Extracting #1: cost 3 inf + 0
85.463 * * [simplify]: Extracting #2: cost 8 inf + 0
85.464 * * [simplify]: Extracting #3: cost 13 inf + 1
85.464 * * [simplify]: Extracting #4: cost 14 inf + 3
85.464 * * [simplify]: Extracting #5: cost 11 inf + 170
85.464 * * [simplify]: Extracting #6: cost 8 inf + 336
85.464 * * [simplify]: Extracting #7: cost 5 inf + 997
85.465 * * [simplify]: Extracting #8: cost 2 inf + 1938
85.465 * * [simplify]: Extracting #9: cost 0 inf + 3418
85.466 * [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)))
94.120 * [regime-testing]: Baseline error score: 0.5197429599826796
94.124 * [regime-testing]: Oracle error score: 0.04575816352152193
94.133 * [regime-testing]: End program error score: 0.5197429599826796