0.003 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.231 * * * [progress]: [2/2] Setting up program.
0.236 * [progress]: [Phase 2 of 3] Improving.
0.236 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.236 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.236 * * [simplify]: iteration 1: (13 enodes)
0.241 * * [simplify]: iteration 2: (57 enodes)
0.253 * * [simplify]: iteration 3: (96 enodes)
0.279 * * [simplify]: iteration 4: (174 enodes)
0.333 * * [simplify]: iteration 5: (354 enodes)
0.455 * * [simplify]: iteration 6: (810 enodes)
1.189 * * [simplify]: Extracting #0: cost 1 inf + 0
1.190 * * [simplify]: Extracting #1: cost 58 inf + 0
1.192 * * [simplify]: Extracting #2: cost 221 inf + 1
1.194 * * [simplify]: Extracting #3: cost 294 inf + 210
1.198 * * [simplify]: Extracting #4: cost 278 inf + 3244
1.210 * * [simplify]: Extracting #5: cost 191 inf + 29132
1.259 * * [simplify]: Extracting #6: cost 44 inf + 140191
1.304 * * [simplify]: Extracting #7: cost 0 inf + 176205
1.340 * * [simplify]: Extracting #8: cost 0 inf + 174839
1.407 * * [simplify]: Extracting #9: cost 0 inf + 173832
1.475 * [simplify]: Simplified to:
  (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))
1.489 * * [progress]: iteration 1 / 4
1.489 * * * [progress]: picking best candidate
1.499 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))>
1.500 * * * [progress]: localizing error
1.541 * * * [progress]: generating rewritten candidates
1.541 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1.573 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1.597 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1.620 * * * [progress]: generating series expansions
1.620 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1.620 * [backup-simplify]: Simplify (pow (* PI (* n 2)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
1.620 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
1.620 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1.620 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1.620 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1.620 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1.620 * [taylor]: Taking taylor expansion of 1/2 in k
1.620 * [backup-simplify]: Simplify 1/2 into 1/2
1.620 * [taylor]: Taking taylor expansion of (- 1 k) in k
1.620 * [taylor]: Taking taylor expansion of 1 in k
1.621 * [backup-simplify]: Simplify 1 into 1
1.621 * [taylor]: Taking taylor expansion of k in k
1.621 * [backup-simplify]: Simplify 0 into 0
1.621 * [backup-simplify]: Simplify 1 into 1
1.621 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1.621 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1.621 * [taylor]: Taking taylor expansion of 2 in k
1.621 * [backup-simplify]: Simplify 2 into 2
1.621 * [taylor]: Taking taylor expansion of (* n PI) in k
1.621 * [taylor]: Taking taylor expansion of n in k
1.621 * [backup-simplify]: Simplify n into n
1.621 * [taylor]: Taking taylor expansion of PI in k
1.621 * [backup-simplify]: Simplify PI into PI
1.621 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1.621 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1.621 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1.622 * [backup-simplify]: Simplify (- 0) into 0
1.622 * [backup-simplify]: Simplify (+ 1 0) into 1
1.623 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.623 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1.623 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1.623 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1.623 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1.623 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1.623 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1.623 * [taylor]: Taking taylor expansion of 1/2 in n
1.623 * [backup-simplify]: Simplify 1/2 into 1/2
1.623 * [taylor]: Taking taylor expansion of (- 1 k) in n
1.623 * [taylor]: Taking taylor expansion of 1 in n
1.623 * [backup-simplify]: Simplify 1 into 1
1.623 * [taylor]: Taking taylor expansion of k in n
1.623 * [backup-simplify]: Simplify k into k
1.623 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.623 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.623 * [taylor]: Taking taylor expansion of 2 in n
1.623 * [backup-simplify]: Simplify 2 into 2
1.623 * [taylor]: Taking taylor expansion of (* n PI) in n
1.623 * [taylor]: Taking taylor expansion of n in n
1.623 * [backup-simplify]: Simplify 0 into 0
1.623 * [backup-simplify]: Simplify 1 into 1
1.623 * [taylor]: Taking taylor expansion of PI in n
1.624 * [backup-simplify]: Simplify PI into PI
1.624 * [backup-simplify]: Simplify (* 0 PI) into 0
1.625 * [backup-simplify]: Simplify (* 2 0) into 0
1.626 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.628 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.629 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.629 * [backup-simplify]: Simplify (- k) into (- k)
1.629 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1.629 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1.631 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.632 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1.633 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1.633 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1.633 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1.633 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1.633 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1.633 * [taylor]: Taking taylor expansion of 1/2 in n
1.633 * [backup-simplify]: Simplify 1/2 into 1/2
1.633 * [taylor]: Taking taylor expansion of (- 1 k) in n
1.633 * [taylor]: Taking taylor expansion of 1 in n
1.633 * [backup-simplify]: Simplify 1 into 1
1.633 * [taylor]: Taking taylor expansion of k in n
1.633 * [backup-simplify]: Simplify k into k
1.633 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.633 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.633 * [taylor]: Taking taylor expansion of 2 in n
1.633 * [backup-simplify]: Simplify 2 into 2
1.633 * [taylor]: Taking taylor expansion of (* n PI) in n
1.633 * [taylor]: Taking taylor expansion of n in n
1.633 * [backup-simplify]: Simplify 0 into 0
1.633 * [backup-simplify]: Simplify 1 into 1
1.633 * [taylor]: Taking taylor expansion of PI in n
1.633 * [backup-simplify]: Simplify PI into PI
1.634 * [backup-simplify]: Simplify (* 0 PI) into 0
1.634 * [backup-simplify]: Simplify (* 2 0) into 0
1.636 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.637 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.638 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.638 * [backup-simplify]: Simplify (- k) into (- k)
1.638 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1.638 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1.640 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.641 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1.642 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1.642 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1.643 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1.643 * [taylor]: Taking taylor expansion of 1/2 in k
1.643 * [backup-simplify]: Simplify 1/2 into 1/2
1.643 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1.643 * [taylor]: Taking taylor expansion of (- 1 k) in k
1.643 * [taylor]: Taking taylor expansion of 1 in k
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [taylor]: Taking taylor expansion of k in k
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1.643 * [taylor]: Taking taylor expansion of (log n) in k
1.643 * [taylor]: Taking taylor expansion of n in k
1.643 * [backup-simplify]: Simplify n into n
1.643 * [backup-simplify]: Simplify (log n) into (log n)
1.643 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.643 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.643 * [taylor]: Taking taylor expansion of 2 in k
1.643 * [backup-simplify]: Simplify 2 into 2
1.643 * [taylor]: Taking taylor expansion of PI in k
1.643 * [backup-simplify]: Simplify PI into PI
1.644 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.645 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.645 * [backup-simplify]: Simplify (- 0) into 0
1.645 * [backup-simplify]: Simplify (+ 1 0) into 1
1.646 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.647 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1.648 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1.650 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.651 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.653 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.655 * [backup-simplify]: Simplify (- 0) into 0
1.655 * [backup-simplify]: Simplify (+ 0 0) into 0
1.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1.657 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.658 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1.660 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.660 * [taylor]: Taking taylor expansion of 0 in k
1.660 * [backup-simplify]: Simplify 0 into 0
1.660 * [backup-simplify]: Simplify 0 into 0
1.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1.662 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.664 * [backup-simplify]: Simplify (+ 0 0) into 0
1.664 * [backup-simplify]: Simplify (- 1) into -1
1.665 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.666 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1.668 * [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)))))
1.671 * [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)))))))
1.673 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.675 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.678 * [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
1.679 * [backup-simplify]: Simplify (- 0) into 0
1.679 * [backup-simplify]: Simplify (+ 0 0) into 0
1.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1.681 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.682 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.685 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.685 * [taylor]: Taking taylor expansion of 0 in k
1.685 * [backup-simplify]: Simplify 0 into 0
1.685 * [backup-simplify]: Simplify 0 into 0
1.685 * [backup-simplify]: Simplify 0 into 0
1.686 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1.687 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.690 * [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
1.691 * [backup-simplify]: Simplify (+ 0 0) into 0
1.691 * [backup-simplify]: Simplify (- 0) into 0
1.691 * [backup-simplify]: Simplify (+ 0 0) into 0
1.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.703 * [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)))))
1.707 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1.716 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1.716 * [backup-simplify]: Simplify (pow (* PI (* (/ 1 n) 2)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
1.716 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1.716 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1.716 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1.717 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1.717 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1.717 * [taylor]: Taking taylor expansion of 1/2 in k
1.717 * [backup-simplify]: Simplify 1/2 into 1/2
1.717 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.717 * [taylor]: Taking taylor expansion of 1 in k
1.717 * [backup-simplify]: Simplify 1 into 1
1.717 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.717 * [taylor]: Taking taylor expansion of k in k
1.717 * [backup-simplify]: Simplify 0 into 0
1.717 * [backup-simplify]: Simplify 1 into 1
1.717 * [backup-simplify]: Simplify (/ 1 1) into 1
1.717 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1.717 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1.717 * [taylor]: Taking taylor expansion of 2 in k
1.717 * [backup-simplify]: Simplify 2 into 2
1.717 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.717 * [taylor]: Taking taylor expansion of PI in k
1.717 * [backup-simplify]: Simplify PI into PI
1.717 * [taylor]: Taking taylor expansion of n in k
1.717 * [backup-simplify]: Simplify n into n
1.717 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.717 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1.718 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1.718 * [backup-simplify]: Simplify (- 1) into -1
1.718 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.719 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1.719 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1.719 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1.719 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.719 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.719 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.719 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.719 * [taylor]: Taking taylor expansion of 1/2 in n
1.719 * [backup-simplify]: Simplify 1/2 into 1/2
1.719 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.719 * [taylor]: Taking taylor expansion of 1 in n
1.719 * [backup-simplify]: Simplify 1 into 1
1.719 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.719 * [taylor]: Taking taylor expansion of k in n
1.719 * [backup-simplify]: Simplify k into k
1.719 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.719 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.720 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.720 * [taylor]: Taking taylor expansion of 2 in n
1.720 * [backup-simplify]: Simplify 2 into 2
1.720 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.720 * [taylor]: Taking taylor expansion of PI in n
1.720 * [backup-simplify]: Simplify PI into PI
1.720 * [taylor]: Taking taylor expansion of n in n
1.720 * [backup-simplify]: Simplify 0 into 0
1.720 * [backup-simplify]: Simplify 1 into 1
1.720 * [backup-simplify]: Simplify (/ PI 1) into PI
1.721 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.721 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.722 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.722 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.722 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.723 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.723 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.724 * [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)))))
1.724 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.724 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.724 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.724 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.724 * [taylor]: Taking taylor expansion of 1/2 in n
1.724 * [backup-simplify]: Simplify 1/2 into 1/2
1.724 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.724 * [taylor]: Taking taylor expansion of 1 in n
1.724 * [backup-simplify]: Simplify 1 into 1
1.724 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.724 * [taylor]: Taking taylor expansion of k in n
1.724 * [backup-simplify]: Simplify k into k
1.724 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.724 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.724 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.724 * [taylor]: Taking taylor expansion of 2 in n
1.724 * [backup-simplify]: Simplify 2 into 2
1.724 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.724 * [taylor]: Taking taylor expansion of PI in n
1.724 * [backup-simplify]: Simplify PI into PI
1.724 * [taylor]: Taking taylor expansion of n in n
1.724 * [backup-simplify]: Simplify 0 into 0
1.724 * [backup-simplify]: Simplify 1 into 1
1.725 * [backup-simplify]: Simplify (/ PI 1) into PI
1.725 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.726 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.726 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.726 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.726 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.727 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.727 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.728 * [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)))))
1.728 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1.728 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1.728 * [taylor]: Taking taylor expansion of 1/2 in k
1.728 * [backup-simplify]: Simplify 1/2 into 1/2
1.728 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1.728 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.728 * [taylor]: Taking taylor expansion of 1 in k
1.728 * [backup-simplify]: Simplify 1 into 1
1.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.728 * [taylor]: Taking taylor expansion of k in k
1.728 * [backup-simplify]: Simplify 0 into 0
1.728 * [backup-simplify]: Simplify 1 into 1
1.728 * [backup-simplify]: Simplify (/ 1 1) into 1
1.729 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1.729 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.729 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.729 * [taylor]: Taking taylor expansion of 2 in k
1.729 * [backup-simplify]: Simplify 2 into 2
1.729 * [taylor]: Taking taylor expansion of PI in k
1.729 * [backup-simplify]: Simplify PI into PI
1.729 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.729 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.729 * [taylor]: Taking taylor expansion of (log n) in k
1.730 * [taylor]: Taking taylor expansion of n in k
1.730 * [backup-simplify]: Simplify n into n
1.730 * [backup-simplify]: Simplify (log n) into (log n)
1.730 * [backup-simplify]: Simplify (- 1) into -1
1.730 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.730 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.731 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1.731 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1.732 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1.733 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.733 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.734 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.735 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.736 * [backup-simplify]: Simplify (- 0) into 0
1.736 * [backup-simplify]: Simplify (+ 0 0) into 0
1.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1.737 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.738 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1.739 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.739 * [taylor]: Taking taylor expansion of 0 in k
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.740 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.742 * [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
1.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.742 * [backup-simplify]: Simplify (- 0) into 0
1.742 * [backup-simplify]: Simplify (+ 0 0) into 0
1.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1.744 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.744 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1.746 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.746 * [taylor]: Taking taylor expansion of 0 in k
1.746 * [backup-simplify]: Simplify 0 into 0
1.746 * [backup-simplify]: Simplify 0 into 0
1.746 * [backup-simplify]: Simplify 0 into 0
1.746 * [backup-simplify]: Simplify 0 into 0
1.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.750 * [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
1.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.751 * [backup-simplify]: Simplify (- 0) into 0
1.751 * [backup-simplify]: Simplify (+ 0 0) into 0
1.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1.754 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.756 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1.758 * [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
1.758 * [taylor]: Taking taylor expansion of 0 in k
1.758 * [backup-simplify]: Simplify 0 into 0
1.758 * [backup-simplify]: Simplify 0 into 0
1.759 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1.760 * [backup-simplify]: Simplify (pow (* PI (* (/ 1 (- n)) 2)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
1.760 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1.760 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1.760 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1.760 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1.760 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1.760 * [taylor]: Taking taylor expansion of 1/2 in k
1.760 * [backup-simplify]: Simplify 1/2 into 1/2
1.760 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1.760 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.760 * [taylor]: Taking taylor expansion of k in k
1.760 * [backup-simplify]: Simplify 0 into 0
1.760 * [backup-simplify]: Simplify 1 into 1
1.761 * [backup-simplify]: Simplify (/ 1 1) into 1
1.761 * [taylor]: Taking taylor expansion of 1 in k
1.761 * [backup-simplify]: Simplify 1 into 1
1.761 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1.761 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1.761 * [taylor]: Taking taylor expansion of -2 in k
1.761 * [backup-simplify]: Simplify -2 into -2
1.761 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.761 * [taylor]: Taking taylor expansion of PI in k
1.761 * [backup-simplify]: Simplify PI into PI
1.761 * [taylor]: Taking taylor expansion of n in k
1.761 * [backup-simplify]: Simplify n into n
1.761 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.761 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1.761 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1.762 * [backup-simplify]: Simplify (+ 1 0) into 1
1.762 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.762 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1.762 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1.763 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1.763 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1.763 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1.763 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1.763 * [taylor]: Taking taylor expansion of 1/2 in n
1.763 * [backup-simplify]: Simplify 1/2 into 1/2
1.763 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1.763 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.763 * [taylor]: Taking taylor expansion of k in n
1.763 * [backup-simplify]: Simplify k into k
1.763 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.763 * [taylor]: Taking taylor expansion of 1 in n
1.763 * [backup-simplify]: Simplify 1 into 1
1.763 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.763 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.763 * [taylor]: Taking taylor expansion of -2 in n
1.763 * [backup-simplify]: Simplify -2 into -2
1.763 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.763 * [taylor]: Taking taylor expansion of PI in n
1.763 * [backup-simplify]: Simplify PI into PI
1.763 * [taylor]: Taking taylor expansion of n in n
1.763 * [backup-simplify]: Simplify 0 into 0
1.763 * [backup-simplify]: Simplify 1 into 1
1.764 * [backup-simplify]: Simplify (/ PI 1) into PI
1.764 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.765 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.765 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1.765 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1.766 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.768 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1.769 * [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)))))
1.769 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1.769 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1.769 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1.769 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1.769 * [taylor]: Taking taylor expansion of 1/2 in n
1.769 * [backup-simplify]: Simplify 1/2 into 1/2
1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1.769 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.769 * [taylor]: Taking taylor expansion of k in n
1.769 * [backup-simplify]: Simplify k into k
1.769 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.769 * [taylor]: Taking taylor expansion of 1 in n
1.769 * [backup-simplify]: Simplify 1 into 1
1.769 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.769 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.769 * [taylor]: Taking taylor expansion of -2 in n
1.769 * [backup-simplify]: Simplify -2 into -2
1.769 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.769 * [taylor]: Taking taylor expansion of PI in n
1.769 * [backup-simplify]: Simplify PI into PI
1.769 * [taylor]: Taking taylor expansion of n in n
1.769 * [backup-simplify]: Simplify 0 into 0
1.769 * [backup-simplify]: Simplify 1 into 1
1.770 * [backup-simplify]: Simplify (/ PI 1) into PI
1.770 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.772 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.772 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1.772 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1.773 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.774 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1.776 * [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)))))
1.776 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1.776 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1.776 * [taylor]: Taking taylor expansion of 1/2 in k
1.776 * [backup-simplify]: Simplify 1/2 into 1/2
1.776 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1.776 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1.776 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.776 * [taylor]: Taking taylor expansion of k in k
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 1 into 1
1.776 * [backup-simplify]: Simplify (/ 1 1) into 1
1.777 * [taylor]: Taking taylor expansion of 1 in k
1.777 * [backup-simplify]: Simplify 1 into 1
1.777 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1.777 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1.777 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1.777 * [taylor]: Taking taylor expansion of -2 in k
1.777 * [backup-simplify]: Simplify -2 into -2
1.777 * [taylor]: Taking taylor expansion of PI in k
1.777 * [backup-simplify]: Simplify PI into PI
1.777 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.778 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.778 * [taylor]: Taking taylor expansion of (log n) in k
1.778 * [taylor]: Taking taylor expansion of n in k
1.778 * [backup-simplify]: Simplify n into n
1.778 * [backup-simplify]: Simplify (log n) into (log n)
1.779 * [backup-simplify]: Simplify (+ 1 0) into 1
1.779 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.780 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1.781 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1.782 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1.783 * [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)))))
1.784 * [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)))))
1.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.786 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.788 * [backup-simplify]: Simplify (+ 0 0) into 0
1.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1.790 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.791 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1.793 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.793 * [taylor]: Taking taylor expansion of 0 in k
1.793 * [backup-simplify]: Simplify 0 into 0
1.793 * [backup-simplify]: Simplify 0 into 0
1.793 * [backup-simplify]: Simplify 0 into 0
1.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.795 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1.798 * [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
1.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.799 * [backup-simplify]: Simplify (+ 0 0) into 0
1.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1.801 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.803 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1.805 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.805 * [taylor]: Taking taylor expansion of 0 in k
1.805 * [backup-simplify]: Simplify 0 into 0
1.805 * [backup-simplify]: Simplify 0 into 0
1.805 * [backup-simplify]: Simplify 0 into 0
1.805 * [backup-simplify]: Simplify 0 into 0
1.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.807 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.814 * [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
1.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.814 * [backup-simplify]: Simplify (+ 0 0) into 0
1.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.821 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1.824 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.824 * [taylor]: Taking taylor expansion of 0 in k
1.824 * [backup-simplify]: Simplify 0 into 0
1.824 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1.825 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
1.825 * [backup-simplify]: Simplify (* PI (* n 2)) into (* 2 (* n PI))
1.825 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1.825 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.825 * [taylor]: Taking taylor expansion of 2 in n
1.825 * [backup-simplify]: Simplify 2 into 2
1.825 * [taylor]: Taking taylor expansion of (* n PI) in n
1.826 * [taylor]: Taking taylor expansion of n in n
1.826 * [backup-simplify]: Simplify 0 into 0
1.826 * [backup-simplify]: Simplify 1 into 1
1.826 * [taylor]: Taking taylor expansion of PI in n
1.826 * [backup-simplify]: Simplify PI into PI
1.826 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.826 * [taylor]: Taking taylor expansion of 2 in n
1.826 * [backup-simplify]: Simplify 2 into 2
1.826 * [taylor]: Taking taylor expansion of (* n PI) in n
1.826 * [taylor]: Taking taylor expansion of n in n
1.826 * [backup-simplify]: Simplify 0 into 0
1.826 * [backup-simplify]: Simplify 1 into 1
1.826 * [taylor]: Taking taylor expansion of PI in n
1.826 * [backup-simplify]: Simplify PI into PI
1.826 * [backup-simplify]: Simplify (* 0 PI) into 0
1.827 * [backup-simplify]: Simplify (* 2 0) into 0
1.827 * [backup-simplify]: Simplify 0 into 0
1.828 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.830 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.830 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.831 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.832 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.834 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.834 * [backup-simplify]: Simplify 0 into 0
1.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1.837 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1.837 * [backup-simplify]: Simplify 0 into 0
1.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1.840 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1.840 * [backup-simplify]: Simplify 0 into 0
1.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1.844 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1.847 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1.847 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1.848 * [backup-simplify]: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1.848 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1.848 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.848 * [taylor]: Taking taylor expansion of 2 in n
1.848 * [backup-simplify]: Simplify 2 into 2
1.848 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.848 * [taylor]: Taking taylor expansion of PI in n
1.848 * [backup-simplify]: Simplify PI into PI
1.848 * [taylor]: Taking taylor expansion of n in n
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify 1 into 1
1.849 * [backup-simplify]: Simplify (/ PI 1) into PI
1.849 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.849 * [taylor]: Taking taylor expansion of 2 in n
1.849 * [backup-simplify]: Simplify 2 into 2
1.849 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.849 * [taylor]: Taking taylor expansion of PI in n
1.849 * [backup-simplify]: Simplify PI into PI
1.849 * [taylor]: Taking taylor expansion of n in n
1.849 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify 1 into 1
1.850 * [backup-simplify]: Simplify (/ PI 1) into PI
1.850 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.851 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.852 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.852 * [backup-simplify]: Simplify 0 into 0
1.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.854 * [backup-simplify]: Simplify 0 into 0
1.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.856 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.856 * [backup-simplify]: Simplify 0 into 0
1.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.859 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.861 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1.862 * [backup-simplify]: Simplify 0 into 0
1.863 * [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
1.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1.864 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1.865 * [backup-simplify]: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1.865 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1.865 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.865 * [taylor]: Taking taylor expansion of -2 in n
1.865 * [backup-simplify]: Simplify -2 into -2
1.865 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.865 * [taylor]: Taking taylor expansion of PI in n
1.865 * [backup-simplify]: Simplify PI into PI
1.865 * [taylor]: Taking taylor expansion of n in n
1.865 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify 1 into 1
1.866 * [backup-simplify]: Simplify (/ PI 1) into PI
1.866 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.866 * [taylor]: Taking taylor expansion of -2 in n
1.866 * [backup-simplify]: Simplify -2 into -2
1.866 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.866 * [taylor]: Taking taylor expansion of PI in n
1.866 * [backup-simplify]: Simplify PI into PI
1.866 * [taylor]: Taking taylor expansion of n in n
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [backup-simplify]: Simplify 1 into 1
1.866 * [backup-simplify]: Simplify (/ PI 1) into PI
1.867 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.867 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.868 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1.868 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.869 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1.869 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.871 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.871 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.872 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1.872 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.874 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1.874 * [backup-simplify]: Simplify 0 into 0
1.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.875 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1.875 * [backup-simplify]: Simplify 0 into 0
1.876 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1.876 * * * * [progress]: [ 3 / 3 ] generating series at (2)
1.876 * [backup-simplify]: Simplify (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
1.876 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
1.876 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1.876 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1.876 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1.876 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1.876 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1.876 * [taylor]: Taking taylor expansion of 1/2 in k
1.876 * [backup-simplify]: Simplify 1/2 into 1/2
1.876 * [taylor]: Taking taylor expansion of (- 1 k) in k
1.876 * [taylor]: Taking taylor expansion of 1 in k
1.876 * [backup-simplify]: Simplify 1 into 1
1.876 * [taylor]: Taking taylor expansion of k in k
1.876 * [backup-simplify]: Simplify 0 into 0
1.876 * [backup-simplify]: Simplify 1 into 1
1.876 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1.876 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1.876 * [taylor]: Taking taylor expansion of 2 in k
1.876 * [backup-simplify]: Simplify 2 into 2
1.876 * [taylor]: Taking taylor expansion of (* n PI) in k
1.876 * [taylor]: Taking taylor expansion of n in k
1.876 * [backup-simplify]: Simplify n into n
1.876 * [taylor]: Taking taylor expansion of PI in k
1.876 * [backup-simplify]: Simplify PI into PI
1.876 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1.876 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1.876 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1.877 * [backup-simplify]: Simplify (- 0) into 0
1.877 * [backup-simplify]: Simplify (+ 1 0) into 1
1.877 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.877 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1.877 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1.877 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1.877 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.877 * [taylor]: Taking taylor expansion of k in k
1.877 * [backup-simplify]: Simplify 0 into 0
1.877 * [backup-simplify]: Simplify 1 into 1
1.878 * [backup-simplify]: Simplify (/ 1 1) into 1
1.878 * [backup-simplify]: Simplify (sqrt 0) into 0
1.879 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.879 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1.879 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1.879 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1.879 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1.879 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1.879 * [taylor]: Taking taylor expansion of 1/2 in n
1.879 * [backup-simplify]: Simplify 1/2 into 1/2
1.879 * [taylor]: Taking taylor expansion of (- 1 k) in n
1.879 * [taylor]: Taking taylor expansion of 1 in n
1.879 * [backup-simplify]: Simplify 1 into 1
1.879 * [taylor]: Taking taylor expansion of k in n
1.879 * [backup-simplify]: Simplify k into k
1.879 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.879 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.879 * [taylor]: Taking taylor expansion of 2 in n
1.879 * [backup-simplify]: Simplify 2 into 2
1.879 * [taylor]: Taking taylor expansion of (* n PI) in n
1.879 * [taylor]: Taking taylor expansion of n in n
1.879 * [backup-simplify]: Simplify 0 into 0
1.879 * [backup-simplify]: Simplify 1 into 1
1.879 * [taylor]: Taking taylor expansion of PI in n
1.879 * [backup-simplify]: Simplify PI into PI
1.880 * [backup-simplify]: Simplify (* 0 PI) into 0
1.880 * [backup-simplify]: Simplify (* 2 0) into 0
1.881 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.882 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.882 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.882 * [backup-simplify]: Simplify (- k) into (- k)
1.882 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1.882 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1.883 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.884 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1.884 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1.884 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.884 * [taylor]: Taking taylor expansion of k in n
1.884 * [backup-simplify]: Simplify k into k
1.885 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.885 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1.885 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1.885 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1.885 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1.885 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1.885 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1.885 * [taylor]: Taking taylor expansion of 1/2 in n
1.885 * [backup-simplify]: Simplify 1/2 into 1/2
1.885 * [taylor]: Taking taylor expansion of (- 1 k) in n
1.885 * [taylor]: Taking taylor expansion of 1 in n
1.885 * [backup-simplify]: Simplify 1 into 1
1.885 * [taylor]: Taking taylor expansion of k in n
1.885 * [backup-simplify]: Simplify k into k
1.885 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.885 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.885 * [taylor]: Taking taylor expansion of 2 in n
1.885 * [backup-simplify]: Simplify 2 into 2
1.885 * [taylor]: Taking taylor expansion of (* n PI) in n
1.885 * [taylor]: Taking taylor expansion of n in n
1.885 * [backup-simplify]: Simplify 0 into 0
1.885 * [backup-simplify]: Simplify 1 into 1
1.885 * [taylor]: Taking taylor expansion of PI in n
1.885 * [backup-simplify]: Simplify PI into PI
1.885 * [backup-simplify]: Simplify (* 0 PI) into 0
1.886 * [backup-simplify]: Simplify (* 2 0) into 0
1.886 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.887 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.888 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.888 * [backup-simplify]: Simplify (- k) into (- k)
1.888 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1.888 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1.889 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.890 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1.890 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1.890 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1.890 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.890 * [taylor]: Taking taylor expansion of k in n
1.890 * [backup-simplify]: Simplify k into k
1.890 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.890 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1.891 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k)))
1.891 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
1.891 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1.891 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1.891 * [taylor]: Taking taylor expansion of 1/2 in k
1.891 * [backup-simplify]: Simplify 1/2 into 1/2
1.891 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1.891 * [taylor]: Taking taylor expansion of (- 1 k) in k
1.891 * [taylor]: Taking taylor expansion of 1 in k
1.891 * [backup-simplify]: Simplify 1 into 1
1.891 * [taylor]: Taking taylor expansion of k in k
1.891 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify 1 into 1
1.891 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1.892 * [taylor]: Taking taylor expansion of (log n) in k
1.892 * [taylor]: Taking taylor expansion of n in k
1.892 * [backup-simplify]: Simplify n into n
1.892 * [backup-simplify]: Simplify (log n) into (log n)
1.892 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.892 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.892 * [taylor]: Taking taylor expansion of 2 in k
1.892 * [backup-simplify]: Simplify 2 into 2
1.892 * [taylor]: Taking taylor expansion of PI in k
1.892 * [backup-simplify]: Simplify PI into PI
1.892 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.893 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.893 * [backup-simplify]: Simplify (- 0) into 0
1.893 * [backup-simplify]: Simplify (+ 1 0) into 1
1.894 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.894 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1.895 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1.896 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.896 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1.896 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.896 * [taylor]: Taking taylor expansion of k in k
1.896 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify 1 into 1
1.897 * [backup-simplify]: Simplify (/ 1 1) into 1
1.897 * [backup-simplify]: Simplify (sqrt 0) into 0
1.898 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.900 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1.900 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.903 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.904 * [backup-simplify]: Simplify (- 0) into 0
1.904 * [backup-simplify]: Simplify (+ 0 0) into 0
1.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1.906 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.907 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1.909 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.910 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
1.910 * [taylor]: Taking taylor expansion of 0 in k
1.910 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1.912 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.914 * [backup-simplify]: Simplify (+ 0 0) into 0
1.915 * [backup-simplify]: Simplify (- 1) into -1
1.915 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.916 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1.918 * [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)))))
1.922 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.926 * [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)))))))
1.927 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.927 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.930 * [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
1.930 * [backup-simplify]: Simplify (- 0) into 0
1.931 * [backup-simplify]: Simplify (+ 0 0) into 0
1.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1.932 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.933 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.934 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.937 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
1.937 * [taylor]: Taking taylor expansion of 0 in k
1.937 * [backup-simplify]: Simplify 0 into 0
1.937 * [backup-simplify]: Simplify 0 into 0
1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.939 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.940 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1.941 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.943 * [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
1.943 * [backup-simplify]: Simplify (+ 0 0) into 0
1.943 * [backup-simplify]: Simplify (- 0) into 0
1.943 * [backup-simplify]: Simplify (+ 0 0) into 0
1.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.949 * [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)))))
1.958 * [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))))))))
1.962 * [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))))))))
1.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.963 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1.965 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1.971 * [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
1.971 * [backup-simplify]: Simplify (- 0) into 0
1.972 * [backup-simplify]: Simplify (+ 0 0) into 0
1.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
1.974 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.975 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1.976 * [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
1.978 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
1.978 * [taylor]: Taking taylor expansion of 0 in k
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1.982 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
1.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.986 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1.986 * [backup-simplify]: Simplify (+ 0 0) into 0
1.987 * [backup-simplify]: Simplify (- 0) into 0
1.987 * [backup-simplify]: Simplify (+ 0 0) into 0
1.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1.994 * [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)))))))
2.007 * [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))))))))))))))
2.018 * [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))))))))))))))
2.036 * [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))))))))))))))))))))))
2.037 * [backup-simplify]: Simplify (/ (pow (* PI (* (/ 1 n) 2)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
2.037 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
2.037 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
2.037 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
2.037 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.037 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.037 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
2.037 * [taylor]: Taking taylor expansion of 1/2 in k
2.037 * [backup-simplify]: Simplify 1/2 into 1/2
2.037 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
2.037 * [taylor]: Taking taylor expansion of 1 in k
2.037 * [backup-simplify]: Simplify 1 into 1
2.037 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.037 * [taylor]: Taking taylor expansion of k in k
2.037 * [backup-simplify]: Simplify 0 into 0
2.037 * [backup-simplify]: Simplify 1 into 1
2.038 * [backup-simplify]: Simplify (/ 1 1) into 1
2.038 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.038 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.038 * [taylor]: Taking taylor expansion of 2 in k
2.038 * [backup-simplify]: Simplify 2 into 2
2.038 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.038 * [taylor]: Taking taylor expansion of PI in k
2.038 * [backup-simplify]: Simplify PI into PI
2.038 * [taylor]: Taking taylor expansion of n in k
2.038 * [backup-simplify]: Simplify n into n
2.038 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.038 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.038 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.039 * [backup-simplify]: Simplify (- 1) into -1
2.039 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.039 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
2.040 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.040 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
2.040 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.040 * [taylor]: Taking taylor expansion of k in k
2.040 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify 1 into 1
2.040 * [backup-simplify]: Simplify (sqrt 0) into 0
2.045 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.045 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
2.045 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
2.045 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.045 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.045 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
2.045 * [taylor]: Taking taylor expansion of 1/2 in n
2.045 * [backup-simplify]: Simplify 1/2 into 1/2
2.045 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
2.045 * [taylor]: Taking taylor expansion of 1 in n
2.045 * [backup-simplify]: Simplify 1 into 1
2.045 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.045 * [taylor]: Taking taylor expansion of k in n
2.045 * [backup-simplify]: Simplify k into k
2.045 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.045 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.045 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.045 * [taylor]: Taking taylor expansion of 2 in n
2.045 * [backup-simplify]: Simplify 2 into 2
2.045 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.046 * [taylor]: Taking taylor expansion of PI in n
2.046 * [backup-simplify]: Simplify PI into PI
2.046 * [taylor]: Taking taylor expansion of n in n
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 1 into 1
2.046 * [backup-simplify]: Simplify (/ PI 1) into PI
2.047 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.048 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.048 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.048 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
2.048 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
2.049 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.051 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
2.051 * [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)))))
2.051 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.051 * [taylor]: Taking taylor expansion of k in n
2.051 * [backup-simplify]: Simplify k into k
2.051 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.051 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
2.051 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
2.051 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.051 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.052 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
2.052 * [taylor]: Taking taylor expansion of 1/2 in n
2.052 * [backup-simplify]: Simplify 1/2 into 1/2
2.052 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
2.052 * [taylor]: Taking taylor expansion of 1 in n
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.052 * [taylor]: Taking taylor expansion of k in n
2.052 * [backup-simplify]: Simplify k into k
2.052 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.052 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.052 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.052 * [taylor]: Taking taylor expansion of 2 in n
2.052 * [backup-simplify]: Simplify 2 into 2
2.052 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.052 * [taylor]: Taking taylor expansion of PI in n
2.052 * [backup-simplify]: Simplify PI into PI
2.052 * [taylor]: Taking taylor expansion of n in n
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [backup-simplify]: Simplify (/ PI 1) into PI
2.052 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.053 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.053 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.053 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
2.053 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
2.054 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.055 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
2.055 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
2.055 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.055 * [taylor]: Taking taylor expansion of k in n
2.055 * [backup-simplify]: Simplify k into k
2.055 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.056 * [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))
2.056 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
2.056 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
2.056 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
2.056 * [taylor]: Taking taylor expansion of 1/2 in k
2.056 * [backup-simplify]: Simplify 1/2 into 1/2
2.056 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
2.056 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
2.056 * [taylor]: Taking taylor expansion of 1 in k
2.056 * [backup-simplify]: Simplify 1 into 1
2.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.056 * [taylor]: Taking taylor expansion of k in k
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 1 into 1
2.057 * [backup-simplify]: Simplify (/ 1 1) into 1
2.057 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.057 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.057 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.057 * [taylor]: Taking taylor expansion of 2 in k
2.057 * [backup-simplify]: Simplify 2 into 2
2.057 * [taylor]: Taking taylor expansion of PI in k
2.057 * [backup-simplify]: Simplify PI into PI
2.057 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.058 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.058 * [taylor]: Taking taylor expansion of (log n) in k
2.058 * [taylor]: Taking taylor expansion of n in k
2.058 * [backup-simplify]: Simplify n into n
2.058 * [backup-simplify]: Simplify (log n) into (log n)
2.058 * [backup-simplify]: Simplify (- 1) into -1
2.058 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.059 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.059 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.060 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
2.060 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.061 * [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)))))
2.061 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.061 * [taylor]: Taking taylor expansion of k in k
2.061 * [backup-simplify]: Simplify 0 into 0
2.061 * [backup-simplify]: Simplify 1 into 1
2.061 * [backup-simplify]: Simplify (sqrt 0) into 0
2.062 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.063 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
2.063 * [backup-simplify]: Simplify 0 into 0
2.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.064 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.065 * [backup-simplify]: Simplify (- 0) into 0
2.065 * [backup-simplify]: Simplify (+ 0 0) into 0
2.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
2.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.067 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.068 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.069 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
2.069 * [taylor]: Taking taylor expansion of 0 in k
2.069 * [backup-simplify]: Simplify 0 into 0
2.069 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.071 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.071 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
2.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.074 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.075 * [backup-simplify]: Simplify (- 0) into 0
2.075 * [backup-simplify]: Simplify (+ 0 0) into 0
2.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
2.076 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.077 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.078 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.079 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
2.079 * [taylor]: Taking taylor expansion of 0 in k
2.079 * [backup-simplify]: Simplify 0 into 0
2.080 * [backup-simplify]: Simplify 0 into 0
2.080 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.083 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.084 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
2.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.093 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.094 * [backup-simplify]: Simplify (- 0) into 0
2.094 * [backup-simplify]: Simplify (+ 0 0) into 0
2.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
2.097 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.099 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.102 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.104 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
2.104 * [taylor]: Taking taylor expansion of 0 in k
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify 0 into 0
2.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.110 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.111 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.116 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
2.116 * [backup-simplify]: Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
2.116 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0
2.116 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
2.116 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
2.116 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
2.116 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
2.116 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
2.116 * [taylor]: Taking taylor expansion of 1/2 in k
2.116 * [backup-simplify]: Simplify 1/2 into 1/2
2.116 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
2.116 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.116 * [taylor]: Taking taylor expansion of k in k
2.116 * [backup-simplify]: Simplify 0 into 0
2.116 * [backup-simplify]: Simplify 1 into 1
2.117 * [backup-simplify]: Simplify (/ 1 1) into 1
2.117 * [taylor]: Taking taylor expansion of 1 in k
2.117 * [backup-simplify]: Simplify 1 into 1
2.117 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.117 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.117 * [taylor]: Taking taylor expansion of -2 in k
2.117 * [backup-simplify]: Simplify -2 into -2
2.117 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.117 * [taylor]: Taking taylor expansion of PI in k
2.117 * [backup-simplify]: Simplify PI into PI
2.117 * [taylor]: Taking taylor expansion of n in k
2.117 * [backup-simplify]: Simplify n into n
2.117 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.117 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.117 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.118 * [backup-simplify]: Simplify (+ 1 0) into 1
2.118 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.118 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.118 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
2.119 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.119 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.119 * [taylor]: Taking taylor expansion of -1 in k
2.119 * [backup-simplify]: Simplify -1 into -1
2.119 * [taylor]: Taking taylor expansion of k in k
2.119 * [backup-simplify]: Simplify 0 into 0
2.119 * [backup-simplify]: Simplify 1 into 1
2.119 * [backup-simplify]: Simplify (/ -1 1) into -1
2.119 * [backup-simplify]: Simplify (sqrt 0) into 0
2.121 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.121 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
2.121 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
2.121 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
2.121 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
2.121 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
2.121 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
2.121 * [taylor]: Taking taylor expansion of 1/2 in n
2.121 * [backup-simplify]: Simplify 1/2 into 1/2
2.121 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
2.121 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.121 * [taylor]: Taking taylor expansion of k in n
2.121 * [backup-simplify]: Simplify k into k
2.121 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.121 * [taylor]: Taking taylor expansion of 1 in n
2.121 * [backup-simplify]: Simplify 1 into 1
2.121 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.122 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.122 * [taylor]: Taking taylor expansion of -2 in n
2.122 * [backup-simplify]: Simplify -2 into -2
2.122 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.122 * [taylor]: Taking taylor expansion of PI in n
2.122 * [backup-simplify]: Simplify PI into PI
2.122 * [taylor]: Taking taylor expansion of n in n
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify 1 into 1
2.122 * [backup-simplify]: Simplify (/ PI 1) into PI
2.123 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.124 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.124 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
2.124 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
2.125 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.126 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
2.127 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
2.127 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.127 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.128 * [taylor]: Taking taylor expansion of -1 in n
2.128 * [backup-simplify]: Simplify -1 into -1
2.128 * [taylor]: Taking taylor expansion of k in n
2.128 * [backup-simplify]: Simplify k into k
2.128 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.128 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.128 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.129 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
2.129 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
2.129 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
2.129 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
2.129 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
2.129 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
2.129 * [taylor]: Taking taylor expansion of 1/2 in n
2.129 * [backup-simplify]: Simplify 1/2 into 1/2
2.129 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
2.129 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.129 * [taylor]: Taking taylor expansion of k in n
2.129 * [backup-simplify]: Simplify k into k
2.129 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.130 * [taylor]: Taking taylor expansion of 1 in n
2.130 * [backup-simplify]: Simplify 1 into 1
2.130 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.130 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.130 * [taylor]: Taking taylor expansion of -2 in n
2.130 * [backup-simplify]: Simplify -2 into -2
2.130 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.130 * [taylor]: Taking taylor expansion of PI in n
2.130 * [backup-simplify]: Simplify PI into PI
2.130 * [taylor]: Taking taylor expansion of n in n
2.130 * [backup-simplify]: Simplify 0 into 0
2.130 * [backup-simplify]: Simplify 1 into 1
2.130 * [backup-simplify]: Simplify (/ PI 1) into PI
2.131 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.132 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.132 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
2.132 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
2.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.135 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
2.136 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
2.136 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.136 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.136 * [taylor]: Taking taylor expansion of -1 in n
2.136 * [backup-simplify]: Simplify -1 into -1
2.136 * [taylor]: Taking taylor expansion of k in n
2.136 * [backup-simplify]: Simplify k into k
2.136 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.136 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.136 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.138 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
2.138 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
2.138 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
2.138 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
2.138 * [taylor]: Taking taylor expansion of 1/2 in k
2.138 * [backup-simplify]: Simplify 1/2 into 1/2
2.138 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
2.138 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
2.138 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.138 * [taylor]: Taking taylor expansion of k in k
2.138 * [backup-simplify]: Simplify 0 into 0
2.138 * [backup-simplify]: Simplify 1 into 1
2.138 * [backup-simplify]: Simplify (/ 1 1) into 1
2.138 * [taylor]: Taking taylor expansion of 1 in k
2.138 * [backup-simplify]: Simplify 1 into 1
2.138 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.139 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.139 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.139 * [taylor]: Taking taylor expansion of -2 in k
2.139 * [backup-simplify]: Simplify -2 into -2
2.139 * [taylor]: Taking taylor expansion of PI in k
2.139 * [backup-simplify]: Simplify PI into PI
2.139 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.139 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.139 * [taylor]: Taking taylor expansion of (log n) in k
2.139 * [taylor]: Taking taylor expansion of n in k
2.140 * [backup-simplify]: Simplify n into n
2.140 * [backup-simplify]: Simplify (log n) into (log n)
2.140 * [backup-simplify]: Simplify (+ 1 0) into 1
2.140 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.140 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.141 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
2.142 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.143 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
2.143 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.143 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.143 * [taylor]: Taking taylor expansion of -1 in k
2.143 * [backup-simplify]: Simplify -1 into -1
2.143 * [taylor]: Taking taylor expansion of k in k
2.143 * [backup-simplify]: Simplify 0 into 0
2.143 * [backup-simplify]: Simplify 1 into 1
2.143 * [backup-simplify]: Simplify (/ -1 1) into -1
2.143 * [backup-simplify]: Simplify (sqrt 0) into 0
2.144 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.145 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
2.146 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
2.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.147 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.148 * [backup-simplify]: Simplify (+ 0 0) into 0
2.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
2.149 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.150 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.151 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.152 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
2.152 * [taylor]: Taking taylor expansion of 0 in k
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.154 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.157 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
2.158 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
2.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.159 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
2.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.162 * [backup-simplify]: Simplify (+ 0 0) into 0
2.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
2.163 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.164 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.165 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.165 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.166 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
2.167 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
2.167 * [taylor]: Taking taylor expansion of 0 in k
2.167 * [backup-simplify]: Simplify 0 into 0
2.167 * [backup-simplify]: Simplify 0 into 0
2.167 * [backup-simplify]: Simplify 0 into 0
2.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.173 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
2.174 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
2.178 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
2.179 * * * [progress]: simplifying candidates
2.179 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2))) (sqrt k)))>
2.179 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2))) (sqrt k)))>
2.179 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (/ (- 1 k) 2))) (sqrt k)))>
2.179 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (/ (- 1 k) 2))) (sqrt k)))>
2.179 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.179 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.179 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.179 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
2.179 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))>
2.179 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))>
2.179 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k)))>
2.180 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k)))>
2.180 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k)))>
2.180 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k)))>
2.180 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k)))>
2.180 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))>
2.180 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
2.180 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
2.180 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
2.180 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k)))>
2.180 * * * * [progress]: [ 21 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k)))>
2.180 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k)))>
2.180 * * * * [progress]: [ 23 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))>
2.180 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))>
2.180 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>
2.181 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
2.181 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
2.181 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
2.181 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.181 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (- 1 k)) (/ 1 2)) (sqrt k)))>
2.181 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow PI (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)))>
2.181 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (/ (- 1 k) 2)) 1) (sqrt k)))>
2.181 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt k)))>
2.181 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt k)))>
2.181 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt k)))>
2.181 * * * * [progress]: [ 36 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt k)))>
2.181 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt k)))>
2.181 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k)))>
2.181 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
2.181 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt k)))>
2.181 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.182 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.182 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.182 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log PI) (+ (log n) (log 2)))) (/ (- 1 k) 2)) (sqrt k)))>
2.182 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log PI) (log (* n 2)))) (/ (- 1 k) 2)) (sqrt k)))>
2.182 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* PI (* n 2)))) (/ (- 1 k) 2)) (sqrt k)))>
2.182 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* PI (* n 2)))) (/ (- 1 k) 2)) (sqrt k)))>
2.182 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* PI PI) PI) (* (* (* n n) n) (* (* 2 2) 2)))) (/ (- 1 k) 2)) (sqrt k)))>
2.182 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* PI PI) PI) (* (* (* n 2) (* n 2)) (* n 2)))) (/ (- 1 k) 2)) (sqrt k)))>
2.182 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (/ (- 1 k) 2)) (sqrt k)))>
2.182 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (/ (- 1 k) 2)) (sqrt k)))>
2.182 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (/ (- 1 k) 2)) (sqrt k)))>
2.182 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* PI (* n 2))) (/ (- 1 k) 2)) (sqrt k)))>
2.182 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))>
2.182 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) (* n 2))) (/ (- 1 k) 2)) (sqrt k)))>
2.183 * * * * [progress]: [ 56 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt PI) (* (sqrt PI) (* n 2))) (/ (- 1 k) 2)) (sqrt k)))>
2.183 * * * * [progress]: [ 57 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* PI (* n 2))) (/ (- 1 k) 2)) (sqrt k)))>
2.183 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* PI (* n 2)))) (/ (- 1 k) 2)) (sqrt k)))>
2.183 * * * * [progress]: [ 59 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))>
2.183 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 1))>
2.183 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.183 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.183 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.183 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.183 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* PI (* n 2)) (/ (- 1 k) 2))) (log (sqrt k)))))>
2.183 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))))>
2.184 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))))>
2.184 * * * * [progress]: [ 68 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
2.184 * * * * [progress]: [ 69 / 127 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))))>
2.184 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))))>
2.184 * * * * [progress]: [ 71 / 127 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))))>
2.184 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* PI (* n 2)) (/ (- 1 k) 2))) (- (sqrt k))))>
2.184 * * * * [progress]: [ 73 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
2.184 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
2.184 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.184 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))>
2.184 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.184 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) 1) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))>
2.184 * * * * [progress]: [ 79 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
2.184 * * * * [progress]: [ 80 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
2.185 * * * * [progress]: [ 81 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.185 * * * * [progress]: [ 82 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k))))>
2.185 * * * * [progress]: [ 83 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.185 * * * * [progress]: [ 84 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k))))>
2.185 * * * * [progress]: [ 85 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
2.185 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
2.185 * * * * [progress]: [ 87 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.185 * * * * [progress]: [ 88 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k))))>
2.185 * * * * [progress]: [ 89 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.185 * * * * [progress]: [ 90 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k))))>
2.185 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
2.185 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
2.185 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.185 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))))>
2.186 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.186 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))))>
2.186 * * * * [progress]: [ 97 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))))>
2.186 * * * * [progress]: [ 98 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))>
2.186 * * * * [progress]: [ 99 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
2.186 * * * * [progress]: [ 100 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
2.186 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
2.186 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
2.186 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))))>
2.186 * * * * [progress]: [ 104 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
2.186 * * * * [progress]: [ 105 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
2.186 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
2.186 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
2.186 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.186 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))>
2.187 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.187 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) 1) (sqrt k)))>
2.187 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow PI (/ (- 1 k) 2)) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))>
2.187 * * * * [progress]: [ 113 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
2.187 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
2.187 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
2.187 * * * * [progress]: [ 116 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))>
2.187 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
2.187 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))))>
2.187 * * * * [progress]: [ 119 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
2.187 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
2.187 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
2.187 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
2.187 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
2.187 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
2.188 * * * * [progress]: [ 125 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
2.188 * * * * [progress]: [ 126 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
2.188 * * * * [progress]: [ 127 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
2.190 * [simplify]: Simplifying:
  (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2))
  (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2))
  (* (log (* PI (* n 2))) (/ (- 1 k) 2))
  (* (log (* PI (* n 2))) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* PI (* n 2)) (/ 1 2))
  (pow (* PI (* n 2)) (/ k 2))
  (pow (* PI (* n 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* PI (* n 2)) (sqrt (/ (- 1 k) 2)))
  (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))
  (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) 1))
  (pow (* PI (* n 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ 1 (sqrt 2)))
  (pow (* PI (* n 2)) (/ 1 1))
  (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) 1))
  (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) 1))
  (pow (* PI (* n 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ 1 (sqrt 2)))
  (pow (* PI (* n 2)) (/ 1 1))
  (pow (* PI (* n 2)) 1)
  (pow (* PI (* n 2)) (- 1 k))
  (pow PI (/ (- 1 k) 2))
  (pow (* n 2) (/ (- 1 k) 2))
  (log (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (exp (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))
  (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (* PI (* n 2))
  (* PI (* n 2))
  (+ (log PI) (+ (log n) (log 2)))
  (+ (log PI) (log (* n 2)))
  (log (* PI (* n 2)))
  (exp (* PI (* n 2)))
  (* (* (* PI PI) PI) (* (* (* n n) n) (* (* 2 2) 2)))
  (* (* (* PI PI) PI) (* (* (* n 2) (* n 2)) (* n 2)))
  (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2))))
  (cbrt (* PI (* n 2)))
  (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))
  (sqrt (* PI (* n 2)))
  (sqrt (* PI (* n 2)))
  (* PI n)
  (* (cbrt PI) (* n 2))
  (* (sqrt PI) (* n 2))
  (* PI (* n 2))
  (real->posit16 (* PI (* n 2)))
  (- (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (log (pow (* PI (* n 2)) (/ (- 1 k) 2))) (log (sqrt k)))
  (log (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
  (exp (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
  (/ (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))))
  (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
  (* (* (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
  (- (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (- (sqrt k))
  (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow PI (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1 k) 2)) (sqrt 1))
  (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1 k) 2)) 1)
  (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))
  (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt 1))
  (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k))
  (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) 1)
  (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k))
  (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt 1))
  (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k))
  (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1)
  (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))
  (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))
  (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt 1))
  (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
  (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) 1)
  (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt 1))
  (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) 1)
  (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))
  (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))
  (real->posit16 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
2.196 * * [simplify]: iteration 1: (290 enodes)
2.322 * * [simplify]: iteration 2: (1257 enodes)
2.720 * * [simplify]: Extracting #0: cost 98 inf + 0
2.721 * * [simplify]: Extracting #1: cost 476 inf + 1
2.726 * * [simplify]: Extracting #2: cost 803 inf + 5418
2.743 * * [simplify]: Extracting #3: cost 794 inf + 55272
2.769 * * [simplify]: Extracting #4: cost 493 inf + 178996
2.837 * * [simplify]: Extracting #5: cost 210 inf + 319081
2.921 * * [simplify]: Extracting #6: cost 129 inf + 371551
3.027 * * [simplify]: Extracting #7: cost 69 inf + 407143
3.139 * * [simplify]: Extracting #8: cost 10 inf + 464720
3.280 * * [simplify]: Extracting #9: cost 0 inf + 471121
3.435 * * [simplify]: Extracting #10: cost 0 inf + 469241
3.564 * * [simplify]: Extracting #11: cost 0 inf + 469161
3.652 * [simplify]: Simplified to:
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (sqrt (* (* PI n) 2))
  (pow (* (* PI n) 2) (/ k 2))
  (pow (* (* PI n) 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* PI n) 2) (sqrt (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI n) 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI n) 2) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* PI n) 2) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI n) 2) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI n) 2) (sqrt (- 1 k)))
  (pow (* (* PI n) 2) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI n) 2) (/ 1 (sqrt 2)))
  (* (* PI n) 2)
  (pow (* (* PI n) 2) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI n) 2) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI n) 2) (+ (sqrt k) 1))
  (pow (* (* PI n) 2) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI n) 2) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI n) 2) (+ (sqrt k) 1))
  (pow (* (* PI n) 2) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI n) 2) (/ 1 (sqrt 2)))
  (* (* PI n) 2)
  (* (* PI n) 2)
  (pow (* (* PI n) 2) (- 1 k))
  (pow PI (/ (- 1 k) 2))
  (pow (* 2 n) (/ (- 1 k) 2))
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (exp (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (pow (pow (* (* PI n) 2) (/ (- 1 k) 2)) 3)
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (real->posit16 (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (* PI n) 2)
  (* (* PI n) 2)
  (log (* (* PI n) 2))
  (log (* (* PI n) 2))
  (log (* (* PI n) 2))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* PI (* 8 (* n (* n n)))) (* PI PI))
  (* 2 (* (* PI n) (* 4 (* (* PI n) (* PI n)))))
  (* (cbrt (* (* PI n) 2)) (cbrt (* (* PI n) 2)))
  (cbrt (* (* PI n) 2))
  (* 2 (* (* PI n) (* 4 (* (* PI n) (* PI n)))))
  (sqrt (* (* PI n) 2))
  (sqrt (* (* PI n) 2))
  (* PI n)
  (* (* 2 n) (cbrt PI))
  (* (* 2 n) (sqrt PI))
  (* (* PI n) 2)
  (real->posit16 (* (* PI n) 2))
  (- (* (/ (- 1 k) 2) (log (* (* PI n) 2))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI n) 2))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI n) 2))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI n) 2))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI n) 2))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI n) 2))) (log (sqrt k)))
  (exp (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
  (/ (pow (pow (* (* PI n) 2) (/ (- 1 k) 2)) 3) (* (sqrt k) k))
  (* (cbrt (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))))
  (cbrt (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
  (* (* (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
  (- (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (- (sqrt k))
  (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 n) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow PI (/ (- 1 k) 2)) (fabs (cbrt k)))
  (/ (pow (* 2 n) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* 2 n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (pow PI (/ (- 1 k) 2))
  (/ (pow (* 2 n) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* 2 n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (pow PI (/ (- 1 k) 2))
  (/ (pow (* 2 n) (/ (- 1 k) 2)) (sqrt k))
  (* (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (fabs (cbrt k)))
  (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt k))
  (/ (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt k))
  (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (fabs (cbrt k)))
  (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt k))
  (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))
  (/ (/ (pow (* (* PI n) 2) (/ (- 1 k) 4)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 4)) (cbrt (sqrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 4)) (fabs (cbrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 4)) (sqrt (cbrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 4)) (sqrt k))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 4)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (fabs (cbrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (pow (* (* PI n) 2) (/ (- 1 k) 2))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (pow (* (* PI n) 2) (/ (- 1 k) 2))
  (/ (sqrt k) (pow (* 2 n) (/ (- 1 k) 2)))
  (/ (sqrt k) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (sqrt k) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (sqrt k) (pow (* (* PI n) 2) (/ k 2)))
  (real->posit16 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
  (+ (+ (+ (* 1/8 (* (* k k) (* (exp (* (log (* (* PI n) 2)) 1/2)) (* (log (* 2 PI)) (log (* 2 PI)))))) (exp (* (log (* (* PI n) 2)) 1/2))) (* (* (exp (* (log (* (* PI n) 2)) 1/2)) (* (* (log n) k) (* (log n) k))) 1/8)) (- (* (* (* (log (* 2 PI)) 1/4) (* (* k k) (log n))) (exp (* (log (* (* PI n) 2)) 1/2))) (* (* k (+ (* (exp (* (log (* (* PI n) 2)) 1/2)) (log n)) (* (exp (* (log (* (* PI n) 2)) 1/2)) (log (* 2 PI))))) 1/2)))
  (exp (* (* 1/2 (- 1 k)) (log (* (* PI n) 2))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* (* PI n) 2)
  (* (* PI n) 2)
  (* (* PI n) 2)
  (- (- (* (log (* 2 PI)) (* (exp (* (log (* (* PI n) 2)) 1/2)) (* (* (* k k) (log n)) +nan.0)))) (+ (* +nan.0 (- (* (* (exp (* (log (* (* PI n) 2)) 1/2)) (* k (log (* 2 PI)))) k))) (+ (- (* (* (* (log n) k) (* (log n) k)) (* +nan.0 (exp (* (log (* (* PI n) 2)) 1/2)))) (* k (* +nan.0 (exp (* (log (* (* PI n) 2)) 1/2))))) (+ (- (* +nan.0 (exp (* (log (* (* PI n) 2)) 1/2))) (* (* (* k k) (* (exp (* (log (* (* PI n) 2)) 1/2)) (* (log (* 2 PI)) (log (* 2 PI))))) +nan.0)) (- (* (exp (* (log (* (* PI n) 2)) 1/2)) (* (* (* k k) (log n)) +nan.0)) (+ (- (* (* k k) (* +nan.0 (exp (* (log (* (* PI n) 2)) 1/2)))) (* (* (exp (* (log (* (* PI n) 2)) 1/2)) (* k (log (* 2 PI)))) +nan.0)) (* (* k (* +nan.0 (exp (* (log (* (* PI n) 2)) 1/2)))) (log n))))))))
  (+ (* +nan.0 (- (/ (/ (exp (* (* 1/2 (- 1 k)) (log (* (* PI n) 2)))) k) k) (/ (exp (* (* 1/2 (- 1 k)) (log (* (* PI n) 2)))) (* (* k k) k)))) (* (- +nan.0) (/ (exp (* (* 1/2 (- 1 k)) (log (* (* PI n) 2)))) k)))
  (+ (/ (* (- +nan.0) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) k) (* +nan.0 (- (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* k k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))
3.661 * * * [progress]: adding candidates to table
5.192 * * [progress]: iteration 2 / 4
5.192 * * * [progress]: picking best candidate
5.217 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
5.217 * * * [progress]: localizing error
5.240 * * * [progress]: generating rewritten candidates
5.240 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
5.265 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
5.277 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
5.285 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
5.314 * * * [progress]: generating series expansions
5.314 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
5.315 * [backup-simplify]: Simplify (pow (* PI (* n 2)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
5.315 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
5.315 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
5.315 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
5.315 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
5.315 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
5.315 * [taylor]: Taking taylor expansion of 1/2 in k
5.315 * [backup-simplify]: Simplify 1/2 into 1/2
5.315 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.315 * [taylor]: Taking taylor expansion of 1 in k
5.315 * [backup-simplify]: Simplify 1 into 1
5.315 * [taylor]: Taking taylor expansion of k in k
5.315 * [backup-simplify]: Simplify 0 into 0
5.315 * [backup-simplify]: Simplify 1 into 1
5.315 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.315 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.315 * [taylor]: Taking taylor expansion of 2 in k
5.315 * [backup-simplify]: Simplify 2 into 2
5.315 * [taylor]: Taking taylor expansion of (* n PI) in k
5.315 * [taylor]: Taking taylor expansion of n in k
5.315 * [backup-simplify]: Simplify n into n
5.315 * [taylor]: Taking taylor expansion of PI in k
5.315 * [backup-simplify]: Simplify PI into PI
5.315 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.315 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.315 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.316 * [backup-simplify]: Simplify (- 0) into 0
5.316 * [backup-simplify]: Simplify (+ 1 0) into 1
5.316 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.316 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.316 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.316 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
5.316 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
5.317 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
5.317 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
5.317 * [taylor]: Taking taylor expansion of 1/2 in n
5.317 * [backup-simplify]: Simplify 1/2 into 1/2
5.317 * [taylor]: Taking taylor expansion of (- 1 k) in n
5.317 * [taylor]: Taking taylor expansion of 1 in n
5.317 * [backup-simplify]: Simplify 1 into 1
5.317 * [taylor]: Taking taylor expansion of k in n
5.317 * [backup-simplify]: Simplify k into k
5.317 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.317 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.317 * [taylor]: Taking taylor expansion of 2 in n
5.317 * [backup-simplify]: Simplify 2 into 2
5.317 * [taylor]: Taking taylor expansion of (* n PI) in n
5.317 * [taylor]: Taking taylor expansion of n in n
5.317 * [backup-simplify]: Simplify 0 into 0
5.317 * [backup-simplify]: Simplify 1 into 1
5.317 * [taylor]: Taking taylor expansion of PI in n
5.317 * [backup-simplify]: Simplify PI into PI
5.317 * [backup-simplify]: Simplify (* 0 PI) into 0
5.317 * [backup-simplify]: Simplify (* 2 0) into 0
5.318 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.319 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.320 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.320 * [backup-simplify]: Simplify (- k) into (- k)
5.320 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
5.320 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
5.321 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.321 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
5.322 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
5.322 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
5.322 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
5.322 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
5.322 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
5.322 * [taylor]: Taking taylor expansion of 1/2 in n
5.322 * [backup-simplify]: Simplify 1/2 into 1/2
5.322 * [taylor]: Taking taylor expansion of (- 1 k) in n
5.322 * [taylor]: Taking taylor expansion of 1 in n
5.322 * [backup-simplify]: Simplify 1 into 1
5.322 * [taylor]: Taking taylor expansion of k in n
5.322 * [backup-simplify]: Simplify k into k
5.322 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.322 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.322 * [taylor]: Taking taylor expansion of 2 in n
5.322 * [backup-simplify]: Simplify 2 into 2
5.322 * [taylor]: Taking taylor expansion of (* n PI) in n
5.322 * [taylor]: Taking taylor expansion of n in n
5.322 * [backup-simplify]: Simplify 0 into 0
5.322 * [backup-simplify]: Simplify 1 into 1
5.322 * [taylor]: Taking taylor expansion of PI in n
5.322 * [backup-simplify]: Simplify PI into PI
5.322 * [backup-simplify]: Simplify (* 0 PI) into 0
5.323 * [backup-simplify]: Simplify (* 2 0) into 0
5.324 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.324 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.325 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.325 * [backup-simplify]: Simplify (- k) into (- k)
5.325 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
5.325 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
5.330 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.330 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
5.331 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
5.331 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
5.331 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
5.331 * [taylor]: Taking taylor expansion of 1/2 in k
5.331 * [backup-simplify]: Simplify 1/2 into 1/2
5.331 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
5.331 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.331 * [taylor]: Taking taylor expansion of 1 in k
5.331 * [backup-simplify]: Simplify 1 into 1
5.331 * [taylor]: Taking taylor expansion of k in k
5.331 * [backup-simplify]: Simplify 0 into 0
5.331 * [backup-simplify]: Simplify 1 into 1
5.331 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
5.331 * [taylor]: Taking taylor expansion of (log n) in k
5.331 * [taylor]: Taking taylor expansion of n in k
5.331 * [backup-simplify]: Simplify n into n
5.331 * [backup-simplify]: Simplify (log n) into (log n)
5.331 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
5.331 * [taylor]: Taking taylor expansion of (* 2 PI) in k
5.331 * [taylor]: Taking taylor expansion of 2 in k
5.331 * [backup-simplify]: Simplify 2 into 2
5.331 * [taylor]: Taking taylor expansion of PI in k
5.332 * [backup-simplify]: Simplify PI into PI
5.332 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.332 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.333 * [backup-simplify]: Simplify (- 0) into 0
5.333 * [backup-simplify]: Simplify (+ 1 0) into 1
5.333 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.334 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
5.335 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
5.335 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
5.336 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
5.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.337 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.338 * [backup-simplify]: Simplify (- 0) into 0
5.339 * [backup-simplify]: Simplify (+ 0 0) into 0
5.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
5.340 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.340 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
5.342 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.342 * [taylor]: Taking taylor expansion of 0 in k
5.342 * [backup-simplify]: Simplify 0 into 0
5.342 * [backup-simplify]: Simplify 0 into 0
5.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
5.343 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.344 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.344 * [backup-simplify]: Simplify (+ 0 0) into 0
5.344 * [backup-simplify]: Simplify (- 1) into -1
5.344 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.345 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
5.346 * [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)))))
5.348 * [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)))))))
5.350 * [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)))))))
5.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
5.352 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
5.354 * [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
5.354 * [backup-simplify]: Simplify (- 0) into 0
5.354 * [backup-simplify]: Simplify (+ 0 0) into 0
5.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
5.356 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.357 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.358 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.358 * [taylor]: Taking taylor expansion of 0 in k
5.358 * [backup-simplify]: Simplify 0 into 0
5.358 * [backup-simplify]: Simplify 0 into 0
5.358 * [backup-simplify]: Simplify 0 into 0
5.359 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
5.360 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.361 * [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
5.362 * [backup-simplify]: Simplify (+ 0 0) into 0
5.362 * [backup-simplify]: Simplify (- 0) into 0
5.362 * [backup-simplify]: Simplify (+ 0 0) into 0
5.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.367 * [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)))))
5.370 * [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)))))
5.375 * [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)))))
5.375 * [backup-simplify]: Simplify (pow (* PI (* (/ 1 n) 2)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
5.375 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
5.375 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
5.375 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.375 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.375 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
5.375 * [taylor]: Taking taylor expansion of 1/2 in k
5.375 * [backup-simplify]: Simplify 1/2 into 1/2
5.375 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.375 * [taylor]: Taking taylor expansion of 1 in k
5.375 * [backup-simplify]: Simplify 1 into 1
5.375 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.376 * [taylor]: Taking taylor expansion of k in k
5.376 * [backup-simplify]: Simplify 0 into 0
5.376 * [backup-simplify]: Simplify 1 into 1
5.376 * [backup-simplify]: Simplify (/ 1 1) into 1
5.376 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.376 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.376 * [taylor]: Taking taylor expansion of 2 in k
5.376 * [backup-simplify]: Simplify 2 into 2
5.376 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.376 * [taylor]: Taking taylor expansion of PI in k
5.376 * [backup-simplify]: Simplify PI into PI
5.376 * [taylor]: Taking taylor expansion of n in k
5.376 * [backup-simplify]: Simplify n into n
5.376 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.376 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.376 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.376 * [backup-simplify]: Simplify (- 1) into -1
5.377 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.377 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
5.377 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.377 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
5.377 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
5.377 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.377 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.377 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
5.377 * [taylor]: Taking taylor expansion of 1/2 in n
5.377 * [backup-simplify]: Simplify 1/2 into 1/2
5.377 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.377 * [taylor]: Taking taylor expansion of 1 in n
5.377 * [backup-simplify]: Simplify 1 into 1
5.377 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.377 * [taylor]: Taking taylor expansion of k in n
5.377 * [backup-simplify]: Simplify k into k
5.377 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.377 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.377 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.377 * [taylor]: Taking taylor expansion of 2 in n
5.377 * [backup-simplify]: Simplify 2 into 2
5.377 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.377 * [taylor]: Taking taylor expansion of PI in n
5.377 * [backup-simplify]: Simplify PI into PI
5.377 * [taylor]: Taking taylor expansion of n in n
5.377 * [backup-simplify]: Simplify 0 into 0
5.378 * [backup-simplify]: Simplify 1 into 1
5.378 * [backup-simplify]: Simplify (/ PI 1) into PI
5.378 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.379 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.379 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.379 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.379 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
5.380 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.381 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.381 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.381 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
5.381 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.381 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.381 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
5.381 * [taylor]: Taking taylor expansion of 1/2 in n
5.381 * [backup-simplify]: Simplify 1/2 into 1/2
5.381 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.381 * [taylor]: Taking taylor expansion of 1 in n
5.381 * [backup-simplify]: Simplify 1 into 1
5.381 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.381 * [taylor]: Taking taylor expansion of k in n
5.381 * [backup-simplify]: Simplify k into k
5.382 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.382 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.382 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.382 * [taylor]: Taking taylor expansion of 2 in n
5.382 * [backup-simplify]: Simplify 2 into 2
5.382 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.382 * [taylor]: Taking taylor expansion of PI in n
5.382 * [backup-simplify]: Simplify PI into PI
5.382 * [taylor]: Taking taylor expansion of n in n
5.382 * [backup-simplify]: Simplify 0 into 0
5.382 * [backup-simplify]: Simplify 1 into 1
5.382 * [backup-simplify]: Simplify (/ PI 1) into PI
5.382 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.383 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.383 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.383 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.383 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
5.384 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.384 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.385 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.385 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
5.385 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
5.385 * [taylor]: Taking taylor expansion of 1/2 in k
5.385 * [backup-simplify]: Simplify 1/2 into 1/2
5.385 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
5.385 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.385 * [taylor]: Taking taylor expansion of 1 in k
5.385 * [backup-simplify]: Simplify 1 into 1
5.385 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.385 * [taylor]: Taking taylor expansion of k in k
5.385 * [backup-simplify]: Simplify 0 into 0
5.385 * [backup-simplify]: Simplify 1 into 1
5.386 * [backup-simplify]: Simplify (/ 1 1) into 1
5.386 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
5.386 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
5.386 * [taylor]: Taking taylor expansion of (* 2 PI) in k
5.386 * [taylor]: Taking taylor expansion of 2 in k
5.386 * [backup-simplify]: Simplify 2 into 2
5.386 * [taylor]: Taking taylor expansion of PI in k
5.386 * [backup-simplify]: Simplify PI into PI
5.386 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.387 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.387 * [taylor]: Taking taylor expansion of (log n) in k
5.387 * [taylor]: Taking taylor expansion of n in k
5.387 * [backup-simplify]: Simplify n into n
5.387 * [backup-simplify]: Simplify (log n) into (log n)
5.387 * [backup-simplify]: Simplify (- 1) into -1
5.387 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.387 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.388 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
5.389 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
5.389 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
5.390 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.390 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.392 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.393 * [backup-simplify]: Simplify (- 0) into 0
5.393 * [backup-simplify]: Simplify (+ 0 0) into 0
5.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
5.394 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.395 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
5.396 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.396 * [taylor]: Taking taylor expansion of 0 in k
5.396 * [backup-simplify]: Simplify 0 into 0
5.396 * [backup-simplify]: Simplify 0 into 0
5.396 * [backup-simplify]: Simplify 0 into 0
5.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.397 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.399 * [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
5.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.400 * [backup-simplify]: Simplify (- 0) into 0
5.400 * [backup-simplify]: Simplify (+ 0 0) into 0
5.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
5.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.402 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
5.404 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.404 * [taylor]: Taking taylor expansion of 0 in k
5.404 * [backup-simplify]: Simplify 0 into 0
5.404 * [backup-simplify]: Simplify 0 into 0
5.404 * [backup-simplify]: Simplify 0 into 0
5.404 * [backup-simplify]: Simplify 0 into 0
5.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.405 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.408 * [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
5.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.408 * [backup-simplify]: Simplify (- 0) into 0
5.409 * [backup-simplify]: Simplify (+ 0 0) into 0
5.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
5.410 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.411 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
5.417 * [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
5.417 * [taylor]: Taking taylor expansion of 0 in k
5.417 * [backup-simplify]: Simplify 0 into 0
5.417 * [backup-simplify]: Simplify 0 into 0
5.418 * [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))))))
5.418 * [backup-simplify]: Simplify (pow (* PI (* (/ 1 (- n)) 2)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
5.418 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
5.418 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.418 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.418 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.418 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.418 * [taylor]: Taking taylor expansion of 1/2 in k
5.418 * [backup-simplify]: Simplify 1/2 into 1/2
5.418 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.418 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.418 * [taylor]: Taking taylor expansion of k in k
5.418 * [backup-simplify]: Simplify 0 into 0
5.418 * [backup-simplify]: Simplify 1 into 1
5.419 * [backup-simplify]: Simplify (/ 1 1) into 1
5.419 * [taylor]: Taking taylor expansion of 1 in k
5.419 * [backup-simplify]: Simplify 1 into 1
5.419 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.419 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.419 * [taylor]: Taking taylor expansion of -2 in k
5.419 * [backup-simplify]: Simplify -2 into -2
5.419 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.419 * [taylor]: Taking taylor expansion of PI in k
5.419 * [backup-simplify]: Simplify PI into PI
5.419 * [taylor]: Taking taylor expansion of n in k
5.419 * [backup-simplify]: Simplify n into n
5.419 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.419 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.419 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.419 * [backup-simplify]: Simplify (+ 1 0) into 1
5.419 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.420 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.420 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.420 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.420 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.420 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.420 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.420 * [taylor]: Taking taylor expansion of 1/2 in n
5.420 * [backup-simplify]: Simplify 1/2 into 1/2
5.420 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.420 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.420 * [taylor]: Taking taylor expansion of k in n
5.420 * [backup-simplify]: Simplify k into k
5.420 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.420 * [taylor]: Taking taylor expansion of 1 in n
5.420 * [backup-simplify]: Simplify 1 into 1
5.420 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.420 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.420 * [taylor]: Taking taylor expansion of -2 in n
5.420 * [backup-simplify]: Simplify -2 into -2
5.420 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.420 * [taylor]: Taking taylor expansion of PI in n
5.420 * [backup-simplify]: Simplify PI into PI
5.420 * [taylor]: Taking taylor expansion of n in n
5.420 * [backup-simplify]: Simplify 0 into 0
5.420 * [backup-simplify]: Simplify 1 into 1
5.420 * [backup-simplify]: Simplify (/ PI 1) into PI
5.421 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.421 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.421 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.421 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.422 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.423 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.423 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.424 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.424 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.424 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.424 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.424 * [taylor]: Taking taylor expansion of 1/2 in n
5.424 * [backup-simplify]: Simplify 1/2 into 1/2
5.424 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.424 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.424 * [taylor]: Taking taylor expansion of k in n
5.424 * [backup-simplify]: Simplify k into k
5.424 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.424 * [taylor]: Taking taylor expansion of 1 in n
5.424 * [backup-simplify]: Simplify 1 into 1
5.424 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.424 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.424 * [taylor]: Taking taylor expansion of -2 in n
5.424 * [backup-simplify]: Simplify -2 into -2
5.424 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.424 * [taylor]: Taking taylor expansion of PI in n
5.424 * [backup-simplify]: Simplify PI into PI
5.424 * [taylor]: Taking taylor expansion of n in n
5.424 * [backup-simplify]: Simplify 0 into 0
5.424 * [backup-simplify]: Simplify 1 into 1
5.424 * [backup-simplify]: Simplify (/ PI 1) into PI
5.424 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.425 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.425 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.425 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.426 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.427 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.427 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.427 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
5.427 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
5.427 * [taylor]: Taking taylor expansion of 1/2 in k
5.427 * [backup-simplify]: Simplify 1/2 into 1/2
5.427 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
5.427 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.428 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.428 * [taylor]: Taking taylor expansion of k in k
5.428 * [backup-simplify]: Simplify 0 into 0
5.428 * [backup-simplify]: Simplify 1 into 1
5.428 * [backup-simplify]: Simplify (/ 1 1) into 1
5.428 * [taylor]: Taking taylor expansion of 1 in k
5.428 * [backup-simplify]: Simplify 1 into 1
5.428 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
5.428 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
5.428 * [taylor]: Taking taylor expansion of (* -2 PI) in k
5.428 * [taylor]: Taking taylor expansion of -2 in k
5.428 * [backup-simplify]: Simplify -2 into -2
5.428 * [taylor]: Taking taylor expansion of PI in k
5.428 * [backup-simplify]: Simplify PI into PI
5.428 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.429 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.429 * [taylor]: Taking taylor expansion of (log n) in k
5.429 * [taylor]: Taking taylor expansion of n in k
5.429 * [backup-simplify]: Simplify n into n
5.429 * [backup-simplify]: Simplify (log n) into (log n)
5.429 * [backup-simplify]: Simplify (+ 1 0) into 1
5.429 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.430 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
5.430 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
5.431 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
5.432 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.432 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.433 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
5.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.435 * [backup-simplify]: Simplify (+ 0 0) into 0
5.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
5.436 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.436 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
5.438 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.438 * [taylor]: Taking taylor expansion of 0 in k
5.438 * [backup-simplify]: Simplify 0 into 0
5.438 * [backup-simplify]: Simplify 0 into 0
5.438 * [backup-simplify]: Simplify 0 into 0
5.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.439 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
5.441 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
5.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.441 * [backup-simplify]: Simplify (+ 0 0) into 0
5.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
5.443 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.444 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
5.445 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.445 * [taylor]: Taking taylor expansion of 0 in k
5.445 * [backup-simplify]: Simplify 0 into 0
5.445 * [backup-simplify]: Simplify 0 into 0
5.445 * [backup-simplify]: Simplify 0 into 0
5.445 * [backup-simplify]: Simplify 0 into 0
5.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.446 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.449 * [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
5.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.450 * [backup-simplify]: Simplify (+ 0 0) into 0
5.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
5.451 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.452 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
5.454 * [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
5.454 * [taylor]: Taking taylor expansion of 0 in k
5.454 * [backup-simplify]: Simplify 0 into 0
5.454 * [backup-simplify]: Simplify 0 into 0
5.455 * [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))))))
5.455 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
5.455 * [backup-simplify]: Simplify (* PI (* n 2)) into (* 2 (* n PI))
5.455 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
5.455 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.455 * [taylor]: Taking taylor expansion of 2 in n
5.455 * [backup-simplify]: Simplify 2 into 2
5.455 * [taylor]: Taking taylor expansion of (* n PI) in n
5.455 * [taylor]: Taking taylor expansion of n in n
5.455 * [backup-simplify]: Simplify 0 into 0
5.455 * [backup-simplify]: Simplify 1 into 1
5.455 * [taylor]: Taking taylor expansion of PI in n
5.455 * [backup-simplify]: Simplify PI into PI
5.455 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.455 * [taylor]: Taking taylor expansion of 2 in n
5.455 * [backup-simplify]: Simplify 2 into 2
5.455 * [taylor]: Taking taylor expansion of (* n PI) in n
5.455 * [taylor]: Taking taylor expansion of n in n
5.455 * [backup-simplify]: Simplify 0 into 0
5.455 * [backup-simplify]: Simplify 1 into 1
5.455 * [taylor]: Taking taylor expansion of PI in n
5.455 * [backup-simplify]: Simplify PI into PI
5.456 * [backup-simplify]: Simplify (* 0 PI) into 0
5.456 * [backup-simplify]: Simplify (* 2 0) into 0
5.456 * [backup-simplify]: Simplify 0 into 0
5.457 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.458 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.458 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.459 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.459 * [backup-simplify]: Simplify 0 into 0
5.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
5.460 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
5.460 * [backup-simplify]: Simplify 0 into 0
5.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
5.462 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
5.463 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
5.463 * [backup-simplify]: Simplify 0 into 0
5.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
5.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
5.465 * [backup-simplify]: Simplify 0 into 0
5.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
5.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
5.467 * [backup-simplify]: Simplify 0 into 0
5.468 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
5.468 * [backup-simplify]: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
5.468 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
5.468 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.468 * [taylor]: Taking taylor expansion of 2 in n
5.468 * [backup-simplify]: Simplify 2 into 2
5.468 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.468 * [taylor]: Taking taylor expansion of PI in n
5.468 * [backup-simplify]: Simplify PI into PI
5.468 * [taylor]: Taking taylor expansion of n in n
5.468 * [backup-simplify]: Simplify 0 into 0
5.468 * [backup-simplify]: Simplify 1 into 1
5.468 * [backup-simplify]: Simplify (/ PI 1) into PI
5.468 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.468 * [taylor]: Taking taylor expansion of 2 in n
5.468 * [backup-simplify]: Simplify 2 into 2
5.468 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.468 * [taylor]: Taking taylor expansion of PI in n
5.468 * [backup-simplify]: Simplify PI into PI
5.468 * [taylor]: Taking taylor expansion of n in n
5.468 * [backup-simplify]: Simplify 0 into 0
5.468 * [backup-simplify]: Simplify 1 into 1
5.469 * [backup-simplify]: Simplify (/ PI 1) into PI
5.469 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.469 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.470 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.470 * [backup-simplify]: Simplify 0 into 0
5.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.471 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.471 * [backup-simplify]: Simplify 0 into 0
5.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.473 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.473 * [backup-simplify]: Simplify 0 into 0
5.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.474 * [backup-simplify]: Simplify 0 into 0
5.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.475 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
5.475 * [backup-simplify]: Simplify 0 into 0
5.476 * [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
5.477 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
5.477 * [backup-simplify]: Simplify 0 into 0
5.477 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
5.477 * [backup-simplify]: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
5.477 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
5.477 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.477 * [taylor]: Taking taylor expansion of -2 in n
5.477 * [backup-simplify]: Simplify -2 into -2
5.477 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.477 * [taylor]: Taking taylor expansion of PI in n
5.477 * [backup-simplify]: Simplify PI into PI
5.477 * [taylor]: Taking taylor expansion of n in n
5.477 * [backup-simplify]: Simplify 0 into 0
5.477 * [backup-simplify]: Simplify 1 into 1
5.478 * [backup-simplify]: Simplify (/ PI 1) into PI
5.478 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.478 * [taylor]: Taking taylor expansion of -2 in n
5.478 * [backup-simplify]: Simplify -2 into -2
5.478 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.478 * [taylor]: Taking taylor expansion of PI in n
5.478 * [backup-simplify]: Simplify PI into PI
5.478 * [taylor]: Taking taylor expansion of n in n
5.478 * [backup-simplify]: Simplify 0 into 0
5.478 * [backup-simplify]: Simplify 1 into 1
5.478 * [backup-simplify]: Simplify (/ PI 1) into PI
5.478 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.479 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.480 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.480 * [backup-simplify]: Simplify 0 into 0
5.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.481 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
5.481 * [backup-simplify]: Simplify 0 into 0
5.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.482 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.482 * [backup-simplify]: Simplify 0 into 0
5.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.483 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.484 * [backup-simplify]: Simplify 0 into 0
5.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.485 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
5.485 * [backup-simplify]: Simplify 0 into 0
5.486 * [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
5.487 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
5.487 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
5.487 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
5.487 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k))
5.488 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in (k n) around 0
5.488 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in n
5.488 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n
5.488 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
5.488 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
5.488 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
5.488 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
5.488 * [taylor]: Taking taylor expansion of 1/2 in n
5.488 * [backup-simplify]: Simplify 1/2 into 1/2
5.488 * [taylor]: Taking taylor expansion of (- 1 k) in n
5.488 * [taylor]: Taking taylor expansion of 1 in n
5.488 * [backup-simplify]: Simplify 1 into 1
5.488 * [taylor]: Taking taylor expansion of k in n
5.488 * [backup-simplify]: Simplify k into k
5.488 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.488 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.488 * [taylor]: Taking taylor expansion of 2 in n
5.488 * [backup-simplify]: Simplify 2 into 2
5.488 * [taylor]: Taking taylor expansion of (* n PI) in n
5.488 * [taylor]: Taking taylor expansion of n in n
5.488 * [backup-simplify]: Simplify 0 into 0
5.488 * [backup-simplify]: Simplify 1 into 1
5.488 * [taylor]: Taking taylor expansion of PI in n
5.488 * [backup-simplify]: Simplify PI into PI
5.489 * [backup-simplify]: Simplify (* 0 PI) into 0
5.489 * [backup-simplify]: Simplify (* 2 0) into 0
5.490 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.492 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.494 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.494 * [backup-simplify]: Simplify (- k) into (- k)
5.494 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
5.494 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
5.495 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.496 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
5.497 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
5.499 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))))
5.499 * [taylor]: Taking taylor expansion of (sqrt k) in n
5.499 * [taylor]: Taking taylor expansion of k in n
5.499 * [backup-simplify]: Simplify k into k
5.499 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
5.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
5.499 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k
5.499 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k
5.499 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
5.499 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
5.499 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
5.499 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
5.499 * [taylor]: Taking taylor expansion of 1/2 in k
5.499 * [backup-simplify]: Simplify 1/2 into 1/2
5.499 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.499 * [taylor]: Taking taylor expansion of 1 in k
5.499 * [backup-simplify]: Simplify 1 into 1
5.499 * [taylor]: Taking taylor expansion of k in k
5.499 * [backup-simplify]: Simplify 0 into 0
5.499 * [backup-simplify]: Simplify 1 into 1
5.499 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.499 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.499 * [taylor]: Taking taylor expansion of 2 in k
5.499 * [backup-simplify]: Simplify 2 into 2
5.499 * [taylor]: Taking taylor expansion of (* n PI) in k
5.499 * [taylor]: Taking taylor expansion of n in k
5.499 * [backup-simplify]: Simplify n into n
5.499 * [taylor]: Taking taylor expansion of PI in k
5.499 * [backup-simplify]: Simplify PI into PI
5.499 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.500 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.500 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.500 * [backup-simplify]: Simplify (- 0) into 0
5.500 * [backup-simplify]: Simplify (+ 1 0) into 1
5.501 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.501 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.501 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.501 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
5.501 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.501 * [taylor]: Taking taylor expansion of k in k
5.501 * [backup-simplify]: Simplify 0 into 0
5.501 * [backup-simplify]: Simplify 1 into 1
5.502 * [backup-simplify]: Simplify (sqrt 0) into 0
5.503 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.503 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k
5.503 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k
5.503 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
5.503 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
5.503 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
5.503 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
5.503 * [taylor]: Taking taylor expansion of 1/2 in k
5.503 * [backup-simplify]: Simplify 1/2 into 1/2
5.503 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.504 * [taylor]: Taking taylor expansion of 1 in k
5.504 * [backup-simplify]: Simplify 1 into 1
5.504 * [taylor]: Taking taylor expansion of k in k
5.504 * [backup-simplify]: Simplify 0 into 0
5.504 * [backup-simplify]: Simplify 1 into 1
5.504 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.504 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.504 * [taylor]: Taking taylor expansion of 2 in k
5.504 * [backup-simplify]: Simplify 2 into 2
5.504 * [taylor]: Taking taylor expansion of (* n PI) in k
5.504 * [taylor]: Taking taylor expansion of n in k
5.504 * [backup-simplify]: Simplify n into n
5.504 * [taylor]: Taking taylor expansion of PI in k
5.504 * [backup-simplify]: Simplify PI into PI
5.504 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.504 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.504 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.504 * [backup-simplify]: Simplify (- 0) into 0
5.505 * [backup-simplify]: Simplify (+ 1 0) into 1
5.505 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.505 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.506 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.506 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
5.506 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.506 * [taylor]: Taking taylor expansion of k in k
5.506 * [backup-simplify]: Simplify 0 into 0
5.506 * [backup-simplify]: Simplify 1 into 1
5.506 * [backup-simplify]: Simplify (sqrt 0) into 0
5.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.508 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
5.508 * [taylor]: Taking taylor expansion of 0 in n
5.508 * [backup-simplify]: Simplify 0 into 0
5.508 * [backup-simplify]: Simplify 0 into 0
5.508 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
5.514 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
5.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
5.515 * [backup-simplify]: Simplify (- 1) into -1
5.516 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.516 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
5.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
5.517 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
5.518 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))
5.520 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))
5.520 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
5.520 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
5.520 * [taylor]: Taking taylor expansion of +nan.0 in n
5.520 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.520 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
5.520 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
5.520 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
5.520 * [taylor]: Taking taylor expansion of (* n PI) in n
5.520 * [taylor]: Taking taylor expansion of n in n
5.520 * [backup-simplify]: Simplify 0 into 0
5.520 * [backup-simplify]: Simplify 1 into 1
5.520 * [taylor]: Taking taylor expansion of PI in n
5.520 * [backup-simplify]: Simplify PI into PI
5.521 * [backup-simplify]: Simplify (* 0 PI) into 0
5.522 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.523 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
5.523 * [backup-simplify]: Simplify (sqrt 0) into 0
5.525 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
5.525 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
5.525 * [taylor]: Taking taylor expansion of 1/2 in n
5.525 * [backup-simplify]: Simplify 1/2 into 1/2
5.526 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
5.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
5.529 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
5.530 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
5.535 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
5.538 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
5.541 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
5.541 * [backup-simplify]: Simplify 0 into 0
5.544 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.545 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
5.546 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
5.548 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
5.548 * [backup-simplify]: Simplify (- 0) into 0
5.548 * [backup-simplify]: Simplify (+ 0 0) into 0
5.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
5.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
5.551 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
5.554 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))))
5.558 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))))
5.558 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n
5.558 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n
5.558 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
5.558 * [taylor]: Taking taylor expansion of +nan.0 in n
5.558 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.558 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
5.558 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
5.558 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.558 * [taylor]: Taking taylor expansion of 2 in n
5.558 * [backup-simplify]: Simplify 2 into 2
5.559 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.559 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
5.559 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.559 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.559 * [taylor]: Taking taylor expansion of 2 in n
5.559 * [backup-simplify]: Simplify 2 into 2
5.559 * [taylor]: Taking taylor expansion of (* n PI) in n
5.559 * [taylor]: Taking taylor expansion of n in n
5.559 * [backup-simplify]: Simplify 0 into 0
5.559 * [backup-simplify]: Simplify 1 into 1
5.559 * [taylor]: Taking taylor expansion of PI in n
5.559 * [backup-simplify]: Simplify PI into PI
5.559 * [backup-simplify]: Simplify (* 0 PI) into 0
5.560 * [backup-simplify]: Simplify (* 2 0) into 0
5.561 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.561 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.562 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.562 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
5.562 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
5.562 * [taylor]: Taking taylor expansion of 1/2 in n
5.562 * [backup-simplify]: Simplify 1/2 into 1/2
5.562 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
5.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
5.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
5.563 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
5.563 * [taylor]: Taking taylor expansion of (* n PI) in n
5.563 * [taylor]: Taking taylor expansion of n in n
5.563 * [backup-simplify]: Simplify 0 into 0
5.563 * [backup-simplify]: Simplify 1 into 1
5.563 * [taylor]: Taking taylor expansion of PI in n
5.563 * [backup-simplify]: Simplify PI into PI
5.563 * [backup-simplify]: Simplify (* 0 PI) into 0
5.564 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.564 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
5.565 * [backup-simplify]: Simplify (sqrt 0) into 0
5.566 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
5.566 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
5.566 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
5.566 * [taylor]: Taking taylor expansion of +nan.0 in n
5.566 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.566 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
5.566 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
5.566 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
5.566 * [taylor]: Taking taylor expansion of (* n PI) in n
5.566 * [taylor]: Taking taylor expansion of n in n
5.566 * [backup-simplify]: Simplify 0 into 0
5.566 * [backup-simplify]: Simplify 1 into 1
5.566 * [taylor]: Taking taylor expansion of PI in n
5.566 * [backup-simplify]: Simplify PI into PI
5.566 * [backup-simplify]: Simplify (* 0 PI) into 0
5.567 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.567 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
5.568 * [backup-simplify]: Simplify (sqrt 0) into 0
5.569 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
5.569 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
5.569 * [taylor]: Taking taylor expansion of 1/2 in n
5.569 * [backup-simplify]: Simplify 1/2 into 1/2
5.569 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
5.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
5.570 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.571 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
5.572 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
5.574 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))
5.574 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.575 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
5.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.576 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.578 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
5.580 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
5.582 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
5.583 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
5.590 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
5.592 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
5.592 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
5.595 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
5.597 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
5.611 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
5.633 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
5.644 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
5.645 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
5.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
5.648 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
5.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
5.657 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
5.660 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
5.662 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
5.682 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
5.682 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (/ (- 1 (/ 1 k)) 2))) into (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k)))
5.682 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
5.682 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in n
5.682 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n
5.682 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
5.683 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.683 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.683 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
5.683 * [taylor]: Taking taylor expansion of 1/2 in n
5.683 * [backup-simplify]: Simplify 1/2 into 1/2
5.683 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.683 * [taylor]: Taking taylor expansion of 1 in n
5.683 * [backup-simplify]: Simplify 1 into 1
5.683 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.683 * [taylor]: Taking taylor expansion of k in n
5.683 * [backup-simplify]: Simplify k into k
5.683 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.683 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.683 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.683 * [taylor]: Taking taylor expansion of 2 in n
5.683 * [backup-simplify]: Simplify 2 into 2
5.683 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.683 * [taylor]: Taking taylor expansion of PI in n
5.683 * [backup-simplify]: Simplify PI into PI
5.683 * [taylor]: Taking taylor expansion of n in n
5.683 * [backup-simplify]: Simplify 0 into 0
5.683 * [backup-simplify]: Simplify 1 into 1
5.683 * [backup-simplify]: Simplify (/ PI 1) into PI
5.684 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.684 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.684 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.684 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.684 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
5.685 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.686 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.687 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.687 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.688 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
5.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.688 * [taylor]: Taking taylor expansion of k in n
5.688 * [backup-simplify]: Simplify k into k
5.688 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.688 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
5.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
5.688 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k
5.688 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k
5.688 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
5.688 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.688 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.688 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
5.688 * [taylor]: Taking taylor expansion of 1/2 in k
5.688 * [backup-simplify]: Simplify 1/2 into 1/2
5.688 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.688 * [taylor]: Taking taylor expansion of 1 in k
5.688 * [backup-simplify]: Simplify 1 into 1
5.688 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.688 * [taylor]: Taking taylor expansion of k in k
5.688 * [backup-simplify]: Simplify 0 into 0
5.688 * [backup-simplify]: Simplify 1 into 1
5.688 * [backup-simplify]: Simplify (/ 1 1) into 1
5.688 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.688 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.688 * [taylor]: Taking taylor expansion of 2 in k
5.688 * [backup-simplify]: Simplify 2 into 2
5.688 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.688 * [taylor]: Taking taylor expansion of PI in k
5.688 * [backup-simplify]: Simplify PI into PI
5.688 * [taylor]: Taking taylor expansion of n in k
5.688 * [backup-simplify]: Simplify n into n
5.688 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.689 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.689 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.689 * [backup-simplify]: Simplify (- 1) into -1
5.689 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.689 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
5.689 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.690 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
5.690 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))
5.690 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.690 * [taylor]: Taking taylor expansion of k in k
5.690 * [backup-simplify]: Simplify 0 into 0
5.690 * [backup-simplify]: Simplify 1 into 1
5.690 * [backup-simplify]: Simplify (/ 1 1) into 1
5.690 * [backup-simplify]: Simplify (sqrt 0) into 0
5.691 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.691 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k
5.691 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k
5.691 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
5.691 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.691 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.691 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
5.691 * [taylor]: Taking taylor expansion of 1/2 in k
5.691 * [backup-simplify]: Simplify 1/2 into 1/2
5.691 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.691 * [taylor]: Taking taylor expansion of 1 in k
5.691 * [backup-simplify]: Simplify 1 into 1
5.691 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.691 * [taylor]: Taking taylor expansion of k in k
5.691 * [backup-simplify]: Simplify 0 into 0
5.691 * [backup-simplify]: Simplify 1 into 1
5.692 * [backup-simplify]: Simplify (/ 1 1) into 1
5.692 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.692 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.692 * [taylor]: Taking taylor expansion of 2 in k
5.692 * [backup-simplify]: Simplify 2 into 2
5.692 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.692 * [taylor]: Taking taylor expansion of PI in k
5.692 * [backup-simplify]: Simplify PI into PI
5.692 * [taylor]: Taking taylor expansion of n in k
5.692 * [backup-simplify]: Simplify n into n
5.692 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.692 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.692 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.692 * [backup-simplify]: Simplify (- 1) into -1
5.692 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.693 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
5.693 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.693 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
5.693 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))
5.693 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.693 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.693 * [taylor]: Taking taylor expansion of k in k
5.693 * [backup-simplify]: Simplify 0 into 0
5.693 * [backup-simplify]: Simplify 1 into 1
5.693 * [backup-simplify]: Simplify (/ 1 1) into 1
5.694 * [backup-simplify]: Simplify (sqrt 0) into 0
5.695 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.695 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 0) into 0
5.695 * [taylor]: Taking taylor expansion of 0 in n
5.695 * [backup-simplify]: Simplify 0 into 0
5.695 * [backup-simplify]: Simplify 0 into 0
5.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0
5.696 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))
5.696 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n
5.696 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
5.696 * [taylor]: Taking taylor expansion of +nan.0 in n
5.696 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.696 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
5.696 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
5.696 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
5.696 * [taylor]: Taking taylor expansion of 1/2 in n
5.696 * [backup-simplify]: Simplify 1/2 into 1/2
5.696 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
5.696 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.696 * [taylor]: Taking taylor expansion of 1 in n
5.696 * [backup-simplify]: Simplify 1 into 1
5.696 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.696 * [taylor]: Taking taylor expansion of k in n
5.696 * [backup-simplify]: Simplify k into k
5.696 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.696 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.696 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.696 * [taylor]: Taking taylor expansion of 2 in n
5.696 * [backup-simplify]: Simplify 2 into 2
5.696 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.696 * [taylor]: Taking taylor expansion of PI in n
5.696 * [backup-simplify]: Simplify PI into PI
5.696 * [taylor]: Taking taylor expansion of n in n
5.696 * [backup-simplify]: Simplify 0 into 0
5.696 * [backup-simplify]: Simplify 1 into 1
5.696 * [backup-simplify]: Simplify (/ PI 1) into PI
5.697 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.697 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.697 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.697 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.698 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.699 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
5.699 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.700 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.701 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.702 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.702 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
5.703 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
5.703 * [backup-simplify]: Simplify 0 into 0
5.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.705 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0
5.706 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))
5.706 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n
5.706 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
5.706 * [taylor]: Taking taylor expansion of +nan.0 in n
5.706 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.706 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
5.706 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
5.706 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
5.706 * [taylor]: Taking taylor expansion of 1/2 in n
5.706 * [backup-simplify]: Simplify 1/2 into 1/2
5.706 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
5.706 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.706 * [taylor]: Taking taylor expansion of 1 in n
5.706 * [backup-simplify]: Simplify 1 into 1
5.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.706 * [taylor]: Taking taylor expansion of k in n
5.706 * [backup-simplify]: Simplify k into k
5.707 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.707 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.707 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.707 * [taylor]: Taking taylor expansion of 2 in n
5.707 * [backup-simplify]: Simplify 2 into 2
5.707 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.707 * [taylor]: Taking taylor expansion of PI in n
5.707 * [backup-simplify]: Simplify PI into PI
5.707 * [taylor]: Taking taylor expansion of n in n
5.707 * [backup-simplify]: Simplify 0 into 0
5.707 * [backup-simplify]: Simplify 1 into 1
5.707 * [backup-simplify]: Simplify (/ PI 1) into PI
5.707 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.708 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.708 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.708 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.709 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.709 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
5.710 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.711 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.712 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.713 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.715 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
5.722 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
5.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.724 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.726 * [backup-simplify]: Simplify (- 0) into 0
5.727 * [backup-simplify]: Simplify (+ 0 0) into 0
5.728 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.729 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
5.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
5.732 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0
5.736 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0
5.737 * [backup-simplify]: Simplify (- 0) into 0
5.737 * [backup-simplify]: Simplify 0 into 0
5.737 * [backup-simplify]: Simplify 0 into 0
5.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0
5.744 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))
5.744 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n
5.744 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
5.744 * [taylor]: Taking taylor expansion of +nan.0 in n
5.744 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.744 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
5.744 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
5.744 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
5.744 * [taylor]: Taking taylor expansion of 1/2 in n
5.744 * [backup-simplify]: Simplify 1/2 into 1/2
5.744 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
5.744 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.744 * [taylor]: Taking taylor expansion of 1 in n
5.744 * [backup-simplify]: Simplify 1 into 1
5.744 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.744 * [taylor]: Taking taylor expansion of k in n
5.744 * [backup-simplify]: Simplify k into k
5.745 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.745 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.745 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.745 * [taylor]: Taking taylor expansion of 2 in n
5.745 * [backup-simplify]: Simplify 2 into 2
5.745 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.745 * [taylor]: Taking taylor expansion of PI in n
5.745 * [backup-simplify]: Simplify PI into PI
5.745 * [taylor]: Taking taylor expansion of n in n
5.745 * [backup-simplify]: Simplify 0 into 0
5.745 * [backup-simplify]: Simplify 1 into 1
5.745 * [backup-simplify]: Simplify (/ PI 1) into PI
5.746 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.747 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.747 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.747 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.748 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.749 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
5.750 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.751 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.753 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.754 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.755 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
5.756 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
5.760 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))))
5.761 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (/ (- 1 (/ 1 (- k))) 2))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))))
5.761 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0
5.761 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n
5.761 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
5.761 * [taylor]: Taking taylor expansion of (/ -1 k) in n
5.761 * [taylor]: Taking taylor expansion of -1 in n
5.761 * [backup-simplify]: Simplify -1 into -1
5.761 * [taylor]: Taking taylor expansion of k in n
5.761 * [backup-simplify]: Simplify k into k
5.761 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
5.761 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
5.761 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
5.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
5.761 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.761 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.761 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.761 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.761 * [taylor]: Taking taylor expansion of 1/2 in n
5.761 * [backup-simplify]: Simplify 1/2 into 1/2
5.761 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.761 * [taylor]: Taking taylor expansion of k in n
5.761 * [backup-simplify]: Simplify k into k
5.762 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.762 * [taylor]: Taking taylor expansion of 1 in n
5.762 * [backup-simplify]: Simplify 1 into 1
5.762 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.762 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.762 * [taylor]: Taking taylor expansion of -2 in n
5.762 * [backup-simplify]: Simplify -2 into -2
5.762 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.762 * [taylor]: Taking taylor expansion of PI in n
5.762 * [backup-simplify]: Simplify PI into PI
5.762 * [taylor]: Taking taylor expansion of n in n
5.762 * [backup-simplify]: Simplify 0 into 0
5.762 * [backup-simplify]: Simplify 1 into 1
5.762 * [backup-simplify]: Simplify (/ PI 1) into PI
5.763 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.764 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.764 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.764 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.765 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.766 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.768 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.769 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.769 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
5.769 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.769 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.769 * [taylor]: Taking taylor expansion of -1 in k
5.769 * [backup-simplify]: Simplify -1 into -1
5.769 * [taylor]: Taking taylor expansion of k in k
5.769 * [backup-simplify]: Simplify 0 into 0
5.769 * [backup-simplify]: Simplify 1 into 1
5.769 * [backup-simplify]: Simplify (/ -1 1) into -1
5.770 * [backup-simplify]: Simplify (sqrt 0) into 0
5.771 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.771 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.771 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.771 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.771 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.771 * [taylor]: Taking taylor expansion of 1/2 in k
5.771 * [backup-simplify]: Simplify 1/2 into 1/2
5.771 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.771 * [taylor]: Taking taylor expansion of k in k
5.771 * [backup-simplify]: Simplify 0 into 0
5.771 * [backup-simplify]: Simplify 1 into 1
5.772 * [backup-simplify]: Simplify (/ 1 1) into 1
5.772 * [taylor]: Taking taylor expansion of 1 in k
5.772 * [backup-simplify]: Simplify 1 into 1
5.772 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.772 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.772 * [taylor]: Taking taylor expansion of -2 in k
5.772 * [backup-simplify]: Simplify -2 into -2
5.772 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.772 * [taylor]: Taking taylor expansion of PI in k
5.772 * [backup-simplify]: Simplify PI into PI
5.772 * [taylor]: Taking taylor expansion of n in k
5.772 * [backup-simplify]: Simplify n into n
5.772 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.772 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.772 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.773 * [backup-simplify]: Simplify (+ 1 0) into 1
5.773 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.773 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.774 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.774 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
5.774 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
5.774 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.774 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.774 * [taylor]: Taking taylor expansion of -1 in k
5.774 * [backup-simplify]: Simplify -1 into -1
5.774 * [taylor]: Taking taylor expansion of k in k
5.774 * [backup-simplify]: Simplify 0 into 0
5.774 * [backup-simplify]: Simplify 1 into 1
5.774 * [backup-simplify]: Simplify (/ -1 1) into -1
5.775 * [backup-simplify]: Simplify (sqrt 0) into 0
5.776 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.776 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.776 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.776 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.776 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.776 * [taylor]: Taking taylor expansion of 1/2 in k
5.776 * [backup-simplify]: Simplify 1/2 into 1/2
5.776 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.776 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.777 * [taylor]: Taking taylor expansion of k in k
5.777 * [backup-simplify]: Simplify 0 into 0
5.777 * [backup-simplify]: Simplify 1 into 1
5.777 * [backup-simplify]: Simplify (/ 1 1) into 1
5.777 * [taylor]: Taking taylor expansion of 1 in k
5.777 * [backup-simplify]: Simplify 1 into 1
5.777 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.777 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.777 * [taylor]: Taking taylor expansion of -2 in k
5.777 * [backup-simplify]: Simplify -2 into -2
5.777 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.777 * [taylor]: Taking taylor expansion of PI in k
5.777 * [backup-simplify]: Simplify PI into PI
5.777 * [taylor]: Taking taylor expansion of n in k
5.777 * [backup-simplify]: Simplify n into n
5.777 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.777 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.777 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.778 * [backup-simplify]: Simplify (+ 1 0) into 1
5.778 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.778 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.779 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.779 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
5.779 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.779 * [taylor]: Taking taylor expansion of +nan.0 in n
5.779 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.779 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.779 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.779 * [taylor]: Taking taylor expansion of 1/2 in n
5.779 * [backup-simplify]: Simplify 1/2 into 1/2
5.779 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.779 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.779 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.779 * [taylor]: Taking taylor expansion of -2 in n
5.779 * [backup-simplify]: Simplify -2 into -2
5.779 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.779 * [taylor]: Taking taylor expansion of PI in n
5.779 * [backup-simplify]: Simplify PI into PI
5.779 * [taylor]: Taking taylor expansion of n in n
5.779 * [backup-simplify]: Simplify 0 into 0
5.779 * [backup-simplify]: Simplify 1 into 1
5.780 * [backup-simplify]: Simplify (/ PI 1) into PI
5.780 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.781 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.781 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.781 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.781 * [taylor]: Taking taylor expansion of k in n
5.782 * [backup-simplify]: Simplify k into k
5.782 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.782 * [taylor]: Taking taylor expansion of 1 in n
5.782 * [backup-simplify]: Simplify 1 into 1
5.783 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.783 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.784 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.785 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.786 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.788 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.789 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.793 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.793 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))
5.794 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n
5.794 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
5.794 * [taylor]: Taking taylor expansion of +nan.0 in n
5.794 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.794 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.794 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.794 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.794 * [taylor]: Taking taylor expansion of 1/2 in n
5.794 * [backup-simplify]: Simplify 1/2 into 1/2
5.794 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.794 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.794 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.794 * [taylor]: Taking taylor expansion of -2 in n
5.794 * [backup-simplify]: Simplify -2 into -2
5.794 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.794 * [taylor]: Taking taylor expansion of PI in n
5.794 * [backup-simplify]: Simplify PI into PI
5.794 * [taylor]: Taking taylor expansion of n in n
5.794 * [backup-simplify]: Simplify 0 into 0
5.794 * [backup-simplify]: Simplify 1 into 1
5.795 * [backup-simplify]: Simplify (/ PI 1) into PI
5.795 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.796 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.796 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.796 * [taylor]: Taking taylor expansion of k in n
5.796 * [backup-simplify]: Simplify k into k
5.797 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.797 * [taylor]: Taking taylor expansion of 1 in n
5.797 * [backup-simplify]: Simplify 1 into 1
5.798 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.798 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.799 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.800 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.801 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.802 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.804 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.805 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
5.806 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
5.807 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.808 * [backup-simplify]: Simplify (+ 0 0) into 0
5.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.809 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.811 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
5.812 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
5.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
5.816 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.819 * [backup-simplify]: Simplify (- (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0
5.819 * [backup-simplify]: Simplify 0 into 0
5.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.825 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))
5.826 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n
5.826 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
5.826 * [taylor]: Taking taylor expansion of +nan.0 in n
5.826 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.826 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.826 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.826 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.826 * [taylor]: Taking taylor expansion of 1/2 in n
5.826 * [backup-simplify]: Simplify 1/2 into 1/2
5.826 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.826 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.826 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.826 * [taylor]: Taking taylor expansion of -2 in n
5.826 * [backup-simplify]: Simplify -2 into -2
5.826 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.826 * [taylor]: Taking taylor expansion of PI in n
5.826 * [backup-simplify]: Simplify PI into PI
5.826 * [taylor]: Taking taylor expansion of n in n
5.826 * [backup-simplify]: Simplify 0 into 0
5.826 * [backup-simplify]: Simplify 1 into 1
5.827 * [backup-simplify]: Simplify (/ PI 1) into PI
5.827 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.828 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.828 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.828 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.828 * [taylor]: Taking taylor expansion of k in n
5.828 * [backup-simplify]: Simplify k into k
5.828 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.828 * [taylor]: Taking taylor expansion of 1 in n
5.828 * [backup-simplify]: Simplify 1 into 1
5.830 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.830 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.831 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.832 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.833 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.834 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.836 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.837 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
5.838 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
5.842 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))
5.842 * * * * [progress]: [ 4 / 4 ] generating series at (2)
5.843 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
5.843 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
5.843 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
5.843 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
5.843 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
5.843 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
5.843 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
5.843 * [taylor]: Taking taylor expansion of 1/2 in n
5.843 * [backup-simplify]: Simplify 1/2 into 1/2
5.843 * [taylor]: Taking taylor expansion of (- 1 k) in n
5.843 * [taylor]: Taking taylor expansion of 1 in n
5.843 * [backup-simplify]: Simplify 1 into 1
5.843 * [taylor]: Taking taylor expansion of k in n
5.843 * [backup-simplify]: Simplify k into k
5.843 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.843 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.843 * [taylor]: Taking taylor expansion of 2 in n
5.843 * [backup-simplify]: Simplify 2 into 2
5.843 * [taylor]: Taking taylor expansion of (* n PI) in n
5.843 * [taylor]: Taking taylor expansion of n in n
5.843 * [backup-simplify]: Simplify 0 into 0
5.843 * [backup-simplify]: Simplify 1 into 1
5.843 * [taylor]: Taking taylor expansion of PI in n
5.843 * [backup-simplify]: Simplify PI into PI
5.844 * [backup-simplify]: Simplify (* 0 PI) into 0
5.844 * [backup-simplify]: Simplify (* 2 0) into 0
5.846 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.848 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.849 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.849 * [backup-simplify]: Simplify (- k) into (- k)
5.849 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
5.849 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
5.850 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.851 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
5.852 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
5.852 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
5.852 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.852 * [taylor]: Taking taylor expansion of k in n
5.852 * [backup-simplify]: Simplify k into k
5.852 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.853 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
5.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
5.853 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
5.853 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
5.853 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
5.853 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
5.853 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
5.853 * [taylor]: Taking taylor expansion of 1/2 in k
5.853 * [backup-simplify]: Simplify 1/2 into 1/2
5.853 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.853 * [taylor]: Taking taylor expansion of 1 in k
5.853 * [backup-simplify]: Simplify 1 into 1
5.853 * [taylor]: Taking taylor expansion of k in k
5.853 * [backup-simplify]: Simplify 0 into 0
5.853 * [backup-simplify]: Simplify 1 into 1
5.853 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.853 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.853 * [taylor]: Taking taylor expansion of 2 in k
5.853 * [backup-simplify]: Simplify 2 into 2
5.853 * [taylor]: Taking taylor expansion of (* n PI) in k
5.853 * [taylor]: Taking taylor expansion of n in k
5.853 * [backup-simplify]: Simplify n into n
5.853 * [taylor]: Taking taylor expansion of PI in k
5.853 * [backup-simplify]: Simplify PI into PI
5.853 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.853 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.854 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.854 * [backup-simplify]: Simplify (- 0) into 0
5.854 * [backup-simplify]: Simplify (+ 1 0) into 1
5.855 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.855 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.855 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.855 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.855 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.855 * [taylor]: Taking taylor expansion of k in k
5.855 * [backup-simplify]: Simplify 0 into 0
5.855 * [backup-simplify]: Simplify 1 into 1
5.856 * [backup-simplify]: Simplify (/ 1 1) into 1
5.856 * [backup-simplify]: Simplify (sqrt 0) into 0
5.857 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.857 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
5.857 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
5.857 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
5.858 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
5.858 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
5.858 * [taylor]: Taking taylor expansion of 1/2 in k
5.858 * [backup-simplify]: Simplify 1/2 into 1/2
5.858 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.858 * [taylor]: Taking taylor expansion of 1 in k
5.858 * [backup-simplify]: Simplify 1 into 1
5.858 * [taylor]: Taking taylor expansion of k in k
5.858 * [backup-simplify]: Simplify 0 into 0
5.858 * [backup-simplify]: Simplify 1 into 1
5.858 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.858 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.858 * [taylor]: Taking taylor expansion of 2 in k
5.858 * [backup-simplify]: Simplify 2 into 2
5.858 * [taylor]: Taking taylor expansion of (* n PI) in k
5.858 * [taylor]: Taking taylor expansion of n in k
5.858 * [backup-simplify]: Simplify n into n
5.858 * [taylor]: Taking taylor expansion of PI in k
5.858 * [backup-simplify]: Simplify PI into PI
5.858 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.858 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.858 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.859 * [backup-simplify]: Simplify (- 0) into 0
5.859 * [backup-simplify]: Simplify (+ 1 0) into 1
5.859 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.860 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.860 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.860 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.860 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.860 * [taylor]: Taking taylor expansion of k in k
5.860 * [backup-simplify]: Simplify 0 into 0
5.860 * [backup-simplify]: Simplify 1 into 1
5.860 * [backup-simplify]: Simplify (/ 1 1) into 1
5.861 * [backup-simplify]: Simplify (sqrt 0) into 0
5.867 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.867 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
5.867 * [taylor]: Taking taylor expansion of 0 in n
5.867 * [backup-simplify]: Simplify 0 into 0
5.867 * [backup-simplify]: Simplify 0 into 0
5.868 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
5.868 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
5.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
5.870 * [backup-simplify]: Simplify (- 1) into -1
5.870 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.871 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
5.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
5.872 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
5.872 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
5.872 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
5.872 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
5.872 * [taylor]: Taking taylor expansion of +nan.0 in n
5.872 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.872 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
5.872 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.872 * [taylor]: Taking taylor expansion of 2 in n
5.872 * [backup-simplify]: Simplify 2 into 2
5.873 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.873 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.873 * [taylor]: Taking taylor expansion of (* n PI) in n
5.873 * [taylor]: Taking taylor expansion of n in n
5.873 * [backup-simplify]: Simplify 0 into 0
5.874 * [backup-simplify]: Simplify 1 into 1
5.874 * [taylor]: Taking taylor expansion of PI in n
5.874 * [backup-simplify]: Simplify PI into PI
5.874 * [backup-simplify]: Simplify (* 0 PI) into 0
5.875 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.876 * [backup-simplify]: Simplify (sqrt 0) into 0
5.877 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.878 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
5.878 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.879 * [backup-simplify]: Simplify (- 0) into 0
5.879 * [backup-simplify]: Simplify 0 into 0
5.879 * [backup-simplify]: Simplify 0 into 0
5.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.883 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.883 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
5.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
5.886 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
5.886 * [backup-simplify]: Simplify (- 0) into 0
5.887 * [backup-simplify]: Simplify (+ 0 0) into 0
5.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
5.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
5.890 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
5.891 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
5.891 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
5.891 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
5.891 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
5.891 * [taylor]: Taking taylor expansion of +nan.0 in n
5.891 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.891 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
5.891 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
5.891 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.891 * [taylor]: Taking taylor expansion of 2 in n
5.891 * [backup-simplify]: Simplify 2 into 2
5.891 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.892 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.892 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.892 * [taylor]: Taking taylor expansion of 2 in n
5.892 * [backup-simplify]: Simplify 2 into 2
5.892 * [taylor]: Taking taylor expansion of (* n PI) in n
5.892 * [taylor]: Taking taylor expansion of n in n
5.892 * [backup-simplify]: Simplify 0 into 0
5.892 * [backup-simplify]: Simplify 1 into 1
5.892 * [taylor]: Taking taylor expansion of PI in n
5.892 * [backup-simplify]: Simplify PI into PI
5.893 * [backup-simplify]: Simplify (* 0 PI) into 0
5.893 * [backup-simplify]: Simplify (* 2 0) into 0
5.895 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.897 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.898 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.898 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.898 * [taylor]: Taking taylor expansion of (* n PI) in n
5.898 * [taylor]: Taking taylor expansion of n in n
5.898 * [backup-simplify]: Simplify 0 into 0
5.898 * [backup-simplify]: Simplify 1 into 1
5.898 * [taylor]: Taking taylor expansion of PI in n
5.898 * [backup-simplify]: Simplify PI into PI
5.898 * [backup-simplify]: Simplify (* 0 PI) into 0
5.900 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.900 * [backup-simplify]: Simplify (sqrt 0) into 0
5.902 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.902 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
5.902 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
5.902 * [taylor]: Taking taylor expansion of +nan.0 in n
5.902 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.902 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
5.902 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.902 * [taylor]: Taking taylor expansion of 2 in n
5.902 * [backup-simplify]: Simplify 2 into 2
5.902 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.903 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.903 * [taylor]: Taking taylor expansion of (* n PI) in n
5.903 * [taylor]: Taking taylor expansion of n in n
5.903 * [backup-simplify]: Simplify 0 into 0
5.903 * [backup-simplify]: Simplify 1 into 1
5.903 * [taylor]: Taking taylor expansion of PI in n
5.903 * [backup-simplify]: Simplify PI into PI
5.904 * [backup-simplify]: Simplify (* 0 PI) into 0
5.905 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.906 * [backup-simplify]: Simplify (sqrt 0) into 0
5.907 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.909 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.910 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
5.911 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
5.912 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.912 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
5.913 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.913 * [backup-simplify]: Simplify (- 0) into 0
5.914 * [backup-simplify]: Simplify (+ 0 0) into 0
5.914 * [backup-simplify]: Simplify (- 0) into 0
5.914 * [backup-simplify]: Simplify 0 into 0
5.917 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
5.922 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
5.926 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
5.928 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
5.928 * [backup-simplify]: Simplify 0 into 0
5.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.934 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.935 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
5.938 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
5.939 * [backup-simplify]: Simplify (- 0) into 0
5.939 * [backup-simplify]: Simplify (+ 0 0) into 0
5.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
5.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
5.943 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
5.945 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
5.945 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
5.945 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
5.945 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
5.945 * [taylor]: Taking taylor expansion of +nan.0 in n
5.945 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.945 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
5.945 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
5.945 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.945 * [taylor]: Taking taylor expansion of 2 in n
5.945 * [backup-simplify]: Simplify 2 into 2
5.945 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.946 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.946 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.946 * [taylor]: Taking taylor expansion of 2 in n
5.946 * [backup-simplify]: Simplify 2 into 2
5.946 * [taylor]: Taking taylor expansion of (* n PI) in n
5.946 * [taylor]: Taking taylor expansion of n in n
5.946 * [backup-simplify]: Simplify 0 into 0
5.946 * [backup-simplify]: Simplify 1 into 1
5.946 * [taylor]: Taking taylor expansion of PI in n
5.946 * [backup-simplify]: Simplify PI into PI
5.947 * [backup-simplify]: Simplify (* 0 PI) into 0
5.947 * [backup-simplify]: Simplify (* 2 0) into 0
5.949 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.950 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.951 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.951 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.951 * [taylor]: Taking taylor expansion of (* n PI) in n
5.951 * [taylor]: Taking taylor expansion of n in n
5.951 * [backup-simplify]: Simplify 0 into 0
5.951 * [backup-simplify]: Simplify 1 into 1
5.951 * [taylor]: Taking taylor expansion of PI in n
5.952 * [backup-simplify]: Simplify PI into PI
5.952 * [backup-simplify]: Simplify (* 0 PI) into 0
5.953 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.954 * [backup-simplify]: Simplify (sqrt 0) into 0
5.955 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.955 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
5.956 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
5.956 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
5.956 * [taylor]: Taking taylor expansion of +nan.0 in n
5.956 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.956 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
5.956 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.956 * [taylor]: Taking taylor expansion of 2 in n
5.956 * [backup-simplify]: Simplify 2 into 2
5.956 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.957 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.957 * [taylor]: Taking taylor expansion of (* n PI) in n
5.957 * [taylor]: Taking taylor expansion of n in n
5.957 * [backup-simplify]: Simplify 0 into 0
5.957 * [backup-simplify]: Simplify 1 into 1
5.957 * [taylor]: Taking taylor expansion of PI in n
5.957 * [backup-simplify]: Simplify PI into PI
5.957 * [backup-simplify]: Simplify (* 0 PI) into 0
5.959 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.959 * [backup-simplify]: Simplify (sqrt 0) into 0
5.961 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.961 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
5.961 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
5.961 * [taylor]: Taking taylor expansion of +nan.0 in n
5.961 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.961 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
5.961 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
5.961 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.961 * [taylor]: Taking taylor expansion of 2 in n
5.961 * [backup-simplify]: Simplify 2 into 2
5.962 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.962 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
5.962 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.962 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.962 * [taylor]: Taking taylor expansion of 2 in n
5.962 * [backup-simplify]: Simplify 2 into 2
5.962 * [taylor]: Taking taylor expansion of (* n PI) in n
5.962 * [taylor]: Taking taylor expansion of n in n
5.962 * [backup-simplify]: Simplify 0 into 0
5.962 * [backup-simplify]: Simplify 1 into 1
5.962 * [taylor]: Taking taylor expansion of PI in n
5.962 * [backup-simplify]: Simplify PI into PI
5.963 * [backup-simplify]: Simplify (* 0 PI) into 0
5.963 * [backup-simplify]: Simplify (* 2 0) into 0
5.965 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.966 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.967 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.969 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.969 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.969 * [taylor]: Taking taylor expansion of (* n PI) in n
5.969 * [taylor]: Taking taylor expansion of n in n
5.969 * [backup-simplify]: Simplify 0 into 0
5.969 * [backup-simplify]: Simplify 1 into 1
5.969 * [taylor]: Taking taylor expansion of PI in n
5.969 * [backup-simplify]: Simplify PI into PI
5.969 * [backup-simplify]: Simplify (* 0 PI) into 0
5.971 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.971 * [backup-simplify]: Simplify (sqrt 0) into 0
5.972 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.973 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.974 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
5.974 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
5.975 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.975 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
5.975 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.976 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.977 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.978 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
5.979 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
5.980 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
5.980 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.980 * [backup-simplify]: Simplify (- 0) into 0
5.981 * [backup-simplify]: Simplify (+ 0 0) into 0
5.981 * [backup-simplify]: Simplify (- 0) into 0
5.981 * [backup-simplify]: Simplify (+ 0 0) into 0
5.981 * [backup-simplify]: Simplify (- 0) into 0
5.981 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.984 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.984 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.985 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
5.987 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
5.991 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
6.000 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
6.006 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
6.009 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
6.019 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
6.027 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
6.034 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
6.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
6.037 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
6.038 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
6.041 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.045 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.048 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.050 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.058 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
6.059 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (/ (- 1 (/ 1 k)) 2)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
6.059 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
6.059 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
6.059 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
6.059 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
6.059 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
6.059 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
6.059 * [taylor]: Taking taylor expansion of 1/2 in n
6.059 * [backup-simplify]: Simplify 1/2 into 1/2
6.059 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
6.059 * [taylor]: Taking taylor expansion of 1 in n
6.059 * [backup-simplify]: Simplify 1 into 1
6.059 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.059 * [taylor]: Taking taylor expansion of k in n
6.059 * [backup-simplify]: Simplify k into k
6.059 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.059 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.059 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.059 * [taylor]: Taking taylor expansion of 2 in n
6.059 * [backup-simplify]: Simplify 2 into 2
6.059 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.059 * [taylor]: Taking taylor expansion of PI in n
6.059 * [backup-simplify]: Simplify PI into PI
6.059 * [taylor]: Taking taylor expansion of n in n
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify 1 into 1
6.059 * [backup-simplify]: Simplify (/ PI 1) into PI
6.060 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.060 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.060 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
6.060 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
6.060 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
6.061 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.062 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
6.063 * [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)))))
6.063 * [taylor]: Taking taylor expansion of (sqrt k) in n
6.063 * [taylor]: Taking taylor expansion of k in n
6.063 * [backup-simplify]: Simplify k into k
6.063 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
6.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
6.063 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
6.063 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
6.063 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
6.063 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
6.063 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
6.063 * [taylor]: Taking taylor expansion of 1/2 in k
6.063 * [backup-simplify]: Simplify 1/2 into 1/2
6.063 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
6.063 * [taylor]: Taking taylor expansion of 1 in k
6.063 * [backup-simplify]: Simplify 1 into 1
6.063 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.063 * [taylor]: Taking taylor expansion of k in k
6.063 * [backup-simplify]: Simplify 0 into 0
6.063 * [backup-simplify]: Simplify 1 into 1
6.063 * [backup-simplify]: Simplify (/ 1 1) into 1
6.063 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
6.063 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
6.063 * [taylor]: Taking taylor expansion of 2 in k
6.063 * [backup-simplify]: Simplify 2 into 2
6.063 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.063 * [taylor]: Taking taylor expansion of PI in k
6.063 * [backup-simplify]: Simplify PI into PI
6.063 * [taylor]: Taking taylor expansion of n in k
6.063 * [backup-simplify]: Simplify n into n
6.064 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.064 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
6.064 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
6.064 * [backup-simplify]: Simplify (- 1) into -1
6.064 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.064 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
6.064 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
6.065 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
6.065 * [taylor]: Taking taylor expansion of (sqrt k) in k
6.065 * [taylor]: Taking taylor expansion of k in k
6.065 * [backup-simplify]: Simplify 0 into 0
6.065 * [backup-simplify]: Simplify 1 into 1
6.065 * [backup-simplify]: Simplify (sqrt 0) into 0
6.066 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.066 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
6.066 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
6.066 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
6.066 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
6.066 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
6.066 * [taylor]: Taking taylor expansion of 1/2 in k
6.066 * [backup-simplify]: Simplify 1/2 into 1/2
6.066 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
6.066 * [taylor]: Taking taylor expansion of 1 in k
6.066 * [backup-simplify]: Simplify 1 into 1
6.066 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.066 * [taylor]: Taking taylor expansion of k in k
6.066 * [backup-simplify]: Simplify 0 into 0
6.066 * [backup-simplify]: Simplify 1 into 1
6.066 * [backup-simplify]: Simplify (/ 1 1) into 1
6.066 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
6.067 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
6.067 * [taylor]: Taking taylor expansion of 2 in k
6.067 * [backup-simplify]: Simplify 2 into 2
6.067 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.067 * [taylor]: Taking taylor expansion of PI in k
6.067 * [backup-simplify]: Simplify PI into PI
6.067 * [taylor]: Taking taylor expansion of n in k
6.067 * [backup-simplify]: Simplify n into n
6.067 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.067 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
6.067 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
6.067 * [backup-simplify]: Simplify (- 1) into -1
6.067 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.068 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
6.068 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
6.068 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
6.068 * [taylor]: Taking taylor expansion of (sqrt k) in k
6.068 * [taylor]: Taking taylor expansion of k in k
6.068 * [backup-simplify]: Simplify 0 into 0
6.068 * [backup-simplify]: Simplify 1 into 1
6.068 * [backup-simplify]: Simplify (sqrt 0) into 0
6.069 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.069 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
6.069 * [taylor]: Taking taylor expansion of 0 in n
6.069 * [backup-simplify]: Simplify 0 into 0
6.069 * [backup-simplify]: Simplify 0 into 0
6.070 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
6.070 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
6.070 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
6.070 * [taylor]: Taking taylor expansion of +nan.0 in n
6.070 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.070 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
6.070 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
6.070 * [taylor]: Taking taylor expansion of 1/2 in n
6.070 * [backup-simplify]: Simplify 1/2 into 1/2
6.070 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
6.070 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
6.070 * [taylor]: Taking taylor expansion of 1 in n
6.070 * [backup-simplify]: Simplify 1 into 1
6.070 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.070 * [taylor]: Taking taylor expansion of k in n
6.070 * [backup-simplify]: Simplify k into k
6.070 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.070 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.070 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.070 * [taylor]: Taking taylor expansion of 2 in n
6.070 * [backup-simplify]: Simplify 2 into 2
6.070 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.070 * [taylor]: Taking taylor expansion of PI in n
6.070 * [backup-simplify]: Simplify PI into PI
6.070 * [taylor]: Taking taylor expansion of n in n
6.070 * [backup-simplify]: Simplify 0 into 0
6.070 * [backup-simplify]: Simplify 1 into 1
6.070 * [backup-simplify]: Simplify (/ PI 1) into PI
6.071 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.072 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.072 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
6.072 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
6.073 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.074 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
6.076 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
6.077 * [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)))))
6.078 * [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))))))
6.079 * [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)))))))
6.080 * [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)))))))
6.081 * [backup-simplify]: Simplify 0 into 0
6.084 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.084 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
6.085 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
6.085 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
6.085 * [taylor]: Taking taylor expansion of +nan.0 in n
6.085 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.085 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
6.085 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
6.085 * [taylor]: Taking taylor expansion of 1/2 in n
6.085 * [backup-simplify]: Simplify 1/2 into 1/2
6.085 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
6.085 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
6.085 * [taylor]: Taking taylor expansion of 1 in n
6.085 * [backup-simplify]: Simplify 1 into 1
6.085 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.085 * [taylor]: Taking taylor expansion of k in n
6.085 * [backup-simplify]: Simplify k into k
6.085 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.085 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.085 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.085 * [taylor]: Taking taylor expansion of 2 in n
6.085 * [backup-simplify]: Simplify 2 into 2
6.085 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.085 * [taylor]: Taking taylor expansion of PI in n
6.085 * [backup-simplify]: Simplify PI into PI
6.085 * [taylor]: Taking taylor expansion of n in n
6.085 * [backup-simplify]: Simplify 0 into 0
6.085 * [backup-simplify]: Simplify 1 into 1
6.086 * [backup-simplify]: Simplify (/ PI 1) into PI
6.086 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.087 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.087 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
6.087 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
6.089 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.090 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
6.091 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
6.092 * [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)))))
6.094 * [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))))))
6.095 * [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)))))))
6.096 * [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)))))))
6.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.098 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
6.100 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
6.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.100 * [backup-simplify]: Simplify (- 0) into 0
6.100 * [backup-simplify]: Simplify (+ 0 0) into 0
6.102 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.103 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
6.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
6.106 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.108 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
6.108 * [backup-simplify]: Simplify (- 0) into 0
6.108 * [backup-simplify]: Simplify 0 into 0
6.109 * [backup-simplify]: Simplify 0 into 0
6.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.120 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
6.120 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
6.120 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
6.120 * [taylor]: Taking taylor expansion of +nan.0 in n
6.120 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.120 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
6.120 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
6.120 * [taylor]: Taking taylor expansion of 1/2 in n
6.120 * [backup-simplify]: Simplify 1/2 into 1/2
6.120 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
6.120 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
6.120 * [taylor]: Taking taylor expansion of 1 in n
6.120 * [backup-simplify]: Simplify 1 into 1
6.120 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.120 * [taylor]: Taking taylor expansion of k in n
6.120 * [backup-simplify]: Simplify k into k
6.120 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.120 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.120 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.120 * [taylor]: Taking taylor expansion of 2 in n
6.120 * [backup-simplify]: Simplify 2 into 2
6.120 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.120 * [taylor]: Taking taylor expansion of PI in n
6.120 * [backup-simplify]: Simplify PI into PI
6.120 * [taylor]: Taking taylor expansion of n in n
6.120 * [backup-simplify]: Simplify 0 into 0
6.120 * [backup-simplify]: Simplify 1 into 1
6.121 * [backup-simplify]: Simplify (/ PI 1) into PI
6.121 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.122 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.122 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
6.122 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
6.124 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.125 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
6.126 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
6.127 * [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)))))
6.128 * [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))))))
6.129 * [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)))))))
6.130 * [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)))))))
6.134 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
6.135 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
6.135 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
6.135 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
6.135 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
6.135 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
6.135 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
6.135 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
6.135 * [taylor]: Taking taylor expansion of 1/2 in n
6.135 * [backup-simplify]: Simplify 1/2 into 1/2
6.135 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
6.135 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.135 * [taylor]: Taking taylor expansion of k in n
6.135 * [backup-simplify]: Simplify k into k
6.135 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.135 * [taylor]: Taking taylor expansion of 1 in n
6.135 * [backup-simplify]: Simplify 1 into 1
6.135 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.135 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.135 * [taylor]: Taking taylor expansion of -2 in n
6.135 * [backup-simplify]: Simplify -2 into -2
6.135 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.135 * [taylor]: Taking taylor expansion of PI in n
6.135 * [backup-simplify]: Simplify PI into PI
6.135 * [taylor]: Taking taylor expansion of n in n
6.135 * [backup-simplify]: Simplify 0 into 0
6.135 * [backup-simplify]: Simplify 1 into 1
6.136 * [backup-simplify]: Simplify (/ PI 1) into PI
6.136 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.137 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.137 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
6.138 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
6.139 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.140 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
6.141 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
6.141 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
6.141 * [taylor]: Taking taylor expansion of (/ -1 k) in n
6.141 * [taylor]: Taking taylor expansion of -1 in n
6.141 * [backup-simplify]: Simplify -1 into -1
6.141 * [taylor]: Taking taylor expansion of k in n
6.141 * [backup-simplify]: Simplify k into k
6.141 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
6.141 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
6.142 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
6.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
6.143 * [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)))
6.143 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
6.143 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
6.143 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
6.143 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
6.143 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
6.143 * [taylor]: Taking taylor expansion of 1/2 in k
6.143 * [backup-simplify]: Simplify 1/2 into 1/2
6.143 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
6.143 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.143 * [taylor]: Taking taylor expansion of k in k
6.143 * [backup-simplify]: Simplify 0 into 0
6.143 * [backup-simplify]: Simplify 1 into 1
6.144 * [backup-simplify]: Simplify (/ 1 1) into 1
6.144 * [taylor]: Taking taylor expansion of 1 in k
6.144 * [backup-simplify]: Simplify 1 into 1
6.144 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
6.144 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
6.144 * [taylor]: Taking taylor expansion of -2 in k
6.144 * [backup-simplify]: Simplify -2 into -2
6.144 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.144 * [taylor]: Taking taylor expansion of PI in k
6.144 * [backup-simplify]: Simplify PI into PI
6.144 * [taylor]: Taking taylor expansion of n in k
6.144 * [backup-simplify]: Simplify n into n
6.144 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.144 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
6.144 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
6.145 * [backup-simplify]: Simplify (+ 1 0) into 1
6.145 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.145 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
6.146 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
6.146 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
6.146 * [taylor]: Taking taylor expansion of (/ -1 k) in k
6.146 * [taylor]: Taking taylor expansion of -1 in k
6.146 * [backup-simplify]: Simplify -1 into -1
6.146 * [taylor]: Taking taylor expansion of k in k
6.146 * [backup-simplify]: Simplify 0 into 0
6.146 * [backup-simplify]: Simplify 1 into 1
6.146 * [backup-simplify]: Simplify (/ -1 1) into -1
6.147 * [backup-simplify]: Simplify (sqrt 0) into 0
6.148 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
6.148 * [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)))))
6.149 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
6.149 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
6.149 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
6.149 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
6.149 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
6.149 * [taylor]: Taking taylor expansion of 1/2 in k
6.149 * [backup-simplify]: Simplify 1/2 into 1/2
6.149 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
6.149 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.149 * [taylor]: Taking taylor expansion of k in k
6.149 * [backup-simplify]: Simplify 0 into 0
6.149 * [backup-simplify]: Simplify 1 into 1
6.149 * [backup-simplify]: Simplify (/ 1 1) into 1
6.149 * [taylor]: Taking taylor expansion of 1 in k
6.149 * [backup-simplify]: Simplify 1 into 1
6.149 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
6.149 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
6.149 * [taylor]: Taking taylor expansion of -2 in k
6.149 * [backup-simplify]: Simplify -2 into -2
6.149 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.149 * [taylor]: Taking taylor expansion of PI in k
6.149 * [backup-simplify]: Simplify PI into PI
6.150 * [taylor]: Taking taylor expansion of n in k
6.150 * [backup-simplify]: Simplify n into n
6.150 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.150 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
6.150 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
6.150 * [backup-simplify]: Simplify (+ 1 0) into 1
6.151 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.151 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
6.151 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
6.151 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
6.151 * [taylor]: Taking taylor expansion of (/ -1 k) in k
6.151 * [taylor]: Taking taylor expansion of -1 in k
6.151 * [backup-simplify]: Simplify -1 into -1
6.151 * [taylor]: Taking taylor expansion of k in k
6.151 * [backup-simplify]: Simplify 0 into 0
6.151 * [backup-simplify]: Simplify 1 into 1
6.152 * [backup-simplify]: Simplify (/ -1 1) into -1
6.152 * [backup-simplify]: Simplify (sqrt 0) into 0
6.154 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
6.154 * [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)))))
6.154 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
6.154 * [taylor]: Taking taylor expansion of +nan.0 in n
6.154 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.154 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
6.154 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
6.154 * [taylor]: Taking taylor expansion of 1/2 in n
6.154 * [backup-simplify]: Simplify 1/2 into 1/2
6.154 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
6.154 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.154 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.154 * [taylor]: Taking taylor expansion of -2 in n
6.155 * [backup-simplify]: Simplify -2 into -2
6.155 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.155 * [taylor]: Taking taylor expansion of PI in n
6.155 * [backup-simplify]: Simplify PI into PI
6.155 * [taylor]: Taking taylor expansion of n in n
6.155 * [backup-simplify]: Simplify 0 into 0
6.155 * [backup-simplify]: Simplify 1 into 1
6.155 * [backup-simplify]: Simplify (/ PI 1) into PI
6.156 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.156 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.157 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
6.157 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.157 * [taylor]: Taking taylor expansion of k in n
6.157 * [backup-simplify]: Simplify k into k
6.157 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.157 * [taylor]: Taking taylor expansion of 1 in n
6.157 * [backup-simplify]: Simplify 1 into 1
6.158 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.158 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
6.159 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
6.161 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
6.162 * [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)))))
6.163 * [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))))))
6.164 * [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))))))
6.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.168 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.169 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
6.169 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
6.169 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
6.169 * [taylor]: Taking taylor expansion of +nan.0 in n
6.169 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.169 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
6.169 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
6.169 * [taylor]: Taking taylor expansion of 1/2 in n
6.169 * [backup-simplify]: Simplify 1/2 into 1/2
6.169 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
6.169 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.169 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.169 * [taylor]: Taking taylor expansion of -2 in n
6.169 * [backup-simplify]: Simplify -2 into -2
6.169 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.169 * [taylor]: Taking taylor expansion of PI in n
6.170 * [backup-simplify]: Simplify PI into PI
6.170 * [taylor]: Taking taylor expansion of n in n
6.170 * [backup-simplify]: Simplify 0 into 0
6.170 * [backup-simplify]: Simplify 1 into 1
6.170 * [backup-simplify]: Simplify (/ PI 1) into PI
6.171 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.172 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.172 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
6.172 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.172 * [taylor]: Taking taylor expansion of k in n
6.172 * [backup-simplify]: Simplify k into k
6.172 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.172 * [taylor]: Taking taylor expansion of 1 in n
6.172 * [backup-simplify]: Simplify 1 into 1
6.173 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.173 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
6.174 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
6.175 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
6.176 * [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)))))
6.177 * [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))))))
6.177 * [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)))))))
6.178 * [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)))))))
6.179 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.179 * [backup-simplify]: Simplify (+ 0 0) into 0
6.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.180 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
6.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
6.182 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
6.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
6.184 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.185 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
6.185 * [backup-simplify]: Simplify 0 into 0
6.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.190 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
6.190 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
6.190 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
6.190 * [taylor]: Taking taylor expansion of +nan.0 in n
6.190 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.190 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
6.190 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
6.190 * [taylor]: Taking taylor expansion of 1/2 in n
6.190 * [backup-simplify]: Simplify 1/2 into 1/2
6.190 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
6.190 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.190 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.190 * [taylor]: Taking taylor expansion of -2 in n
6.190 * [backup-simplify]: Simplify -2 into -2
6.190 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.190 * [taylor]: Taking taylor expansion of PI in n
6.190 * [backup-simplify]: Simplify PI into PI
6.190 * [taylor]: Taking taylor expansion of n in n
6.190 * [backup-simplify]: Simplify 0 into 0
6.190 * [backup-simplify]: Simplify 1 into 1
6.190 * [backup-simplify]: Simplify (/ PI 1) into PI
6.191 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.191 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.191 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
6.191 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.191 * [taylor]: Taking taylor expansion of k in n
6.191 * [backup-simplify]: Simplify k into k
6.192 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.192 * [taylor]: Taking taylor expansion of 1 in n
6.192 * [backup-simplify]: Simplify 1 into 1
6.192 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.192 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
6.193 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
6.194 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
6.195 * [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)))))
6.195 * [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))))))
6.196 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
6.197 * [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)))))))
6.199 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
6.199 * * * [progress]: simplifying candidates
6.199 * * * * [progress]: [ 1 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2))))))>
6.199 * * * * [progress]: [ 2 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2))))))>
6.199 * * * * [progress]: [ 3 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
6.199 * * * * [progress]: [ 4 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
6.199 * * * * [progress]: [ 5 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (* 1 (/ (- 1 k) 2))))))>
6.199 * * * * [progress]: [ 6 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (* 1 (/ (- 1 k) 2))))))>
6.199 * * * * [progress]: [ 7 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (* 1 (/ (- 1 k) 2))))))>
6.200 * * * * [progress]: [ 8 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))))))>
6.200 * * * * [progress]: [ 9 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))>
6.200 * * * * [progress]: [ 10 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))>
6.200 * * * * [progress]: [ 11 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))))>
6.200 * * * * [progress]: [ 12 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))))>
6.200 * * * * [progress]: [ 13 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))))>
6.200 * * * * [progress]: [ 14 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))))>
6.200 * * * * [progress]: [ 15 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))))>
6.200 * * * * [progress]: [ 16 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))))>
6.200 * * * * [progress]: [ 17 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))>
6.200 * * * * [progress]: [ 18 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))>
6.200 * * * * [progress]: [ 19 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ 1 1)) (/ (- 1 k) 2)))))>
6.200 * * * * [progress]: [ 20 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))))))>
6.200 * * * * [progress]: [ 21 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))))))>
6.200 * * * * [progress]: [ 22 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)))))>
6.200 * * * * [progress]: [ 23 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))))>
6.200 * * * * [progress]: [ 24 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))>
6.200 * * * * [progress]: [ 25 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))>
6.200 * * * * [progress]: [ 26 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))>
6.200 * * * * [progress]: [ 27 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))>
6.200 * * * * [progress]: [ 28 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ 1 1)) (/ (- 1 k) 2)))))>
6.200 * * * * [progress]: [ 29 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (/ (- 1 k) 2)))))>
6.200 * * * * [progress]: [ 30 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (- 1 k)) (/ 1 2)))))>
6.201 * * * * [progress]: [ 31 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.201 * * * * [progress]: [ 32 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (- 1 k) 2)) 1))))>
6.201 * * * * [progress]: [ 33 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.201 * * * * [progress]: [ 34 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.201 * * * * [progress]: [ 35 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.201 * * * * [progress]: [ 36 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (cbrt (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.201 * * * * [progress]: [ 37 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.201 * * * * [progress]: [ 38 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.201 * * * * [progress]: [ 39 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.201 * * * * [progress]: [ 40 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.201 * * * * [progress]: [ 41 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 42 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 43 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 44 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log PI) (+ (log n) (log 2)))) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 45 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log PI) (log (* n 2)))) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 46 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (log (* PI (* n 2)))) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 47 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* PI (* n 2)))) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 48 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* PI PI) PI) (* (* (* n n) n) (* (* 2 2) 2)))) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 49 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* PI PI) PI) (* (* (* n 2) (* n 2)) (* n 2)))) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 50 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 51 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 52 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 53 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* PI (* n 2))) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 54 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 55 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) (* n 2))) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 56 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt PI) (* (sqrt PI) (* n 2))) (/ (- 1 k) 2)))))>
6.201 * * * * [progress]: [ 57 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* PI (* n 2))) (/ (- 1 k) 2)))))>
6.202 * * * * [progress]: [ 58 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (posit16->real (real->posit16 (* PI (* n 2)))) (/ (- 1 k) 2)))))>
6.202 * * * * [progress]: [ 59 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))))>
6.202 * * * * [progress]: [ 60 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1)))>
6.202 * * * * [progress]: [ 61 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2))))))>
6.202 * * * * [progress]: [ 62 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2))))))>
6.202 * * * * [progress]: [ 63 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
6.202 * * * * [progress]: [ 64 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
6.202 * * * * [progress]: [ 65 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (log (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.202 * * * * [progress]: [ 66 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.202 * * * * [progress]: [ 67 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.202 * * * * [progress]: [ 68 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.202 * * * * [progress]: [ 69 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.202 * * * * [progress]: [ 70 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.202 * * * * [progress]: [ 71 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.202 * * * * [progress]: [ 72 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.202 * * * * [progress]: [ 73 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.202 * * * * [progress]: [ 74 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.202 * * * * [progress]: [ 75 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.202 * * * * [progress]: [ 76 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.202 * * * * [progress]: [ 77 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.202 * * * * [progress]: [ 78 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.202 * * * * [progress]: [ 79 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.202 * * * * [progress]: [ 80 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.202 * * * * [progress]: [ 81 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.203 * * * * [progress]: [ 82 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.203 * * * * [progress]: [ 83 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.203 * * * * [progress]: [ 84 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.203 * * * * [progress]: [ 85 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.203 * * * * [progress]: [ 86 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.203 * * * * [progress]: [ 87 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.203 * * * * [progress]: [ 88 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (pow PI (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
6.203 * * * * [progress]: [ 89 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.203 * * * * [progress]: [ 90 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.203 * * * * [progress]: [ 91 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.203 * * * * [progress]: [ 92 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.203 * * * * [progress]: [ 93 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.203 * * * * [progress]: [ 94 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.203 * * * * [progress]: [ 95 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.203 * * * * [progress]: [ 96 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.203 * * * * [progress]: [ 97 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.203 * * * * [progress]: [ 98 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
6.203 * * * * [progress]: [ 99 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.203 * * * * [progress]: [ 100 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.203 * * * * [progress]: [ 101 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.203 * * * * [progress]: [ 102 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.203 * * * * [progress]: [ 103 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.203 * * * * [progress]: [ 104 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.203 * * * * [progress]: [ 105 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))))>
6.203 * * * * [progress]: [ 106 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (/ (- 1 k) 2))) (pow (* n 2) (/ (- 1 k) 2)))))>
6.203 * * * * [progress]: [ 107 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.204 * * * * [progress]: [ 108 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.204 * * * * [progress]: [ 109 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
6.204 * * * * [progress]: [ 110 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))>
6.204 * * * * [progress]: [ 111 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))))))>
6.204 * * * * [progress]: [ 112 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (cbrt k))))))>
6.204 * * * * [progress]: [ 113 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))))))>
6.204 * * * * [progress]: [ 114 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt 1) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))))>
6.204 * * * * [progress]: [ 115 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))))))>
6.204 * * * * [progress]: [ 116 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))))>
6.204 * * * * [progress]: [ 117 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2))) (pow (* PI (* n 2)) (/ k 2)))))>
6.204 * * * * [progress]: [ 118 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.204 * * * * [progress]: [ 119 / 307 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) -1))>
6.204 * * * * [progress]: [ 120 / 307 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (- 1)))>
6.204 * * * * [progress]: [ 121 / 307 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) 1))>
6.204 * * * * [progress]: [ 122 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2))))))>
6.204 * * * * [progress]: [ 123 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2))))))>
6.204 * * * * [progress]: [ 124 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
6.204 * * * * [progress]: [ 125 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
6.204 * * * * [progress]: [ 126 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (log (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.204 * * * * [progress]: [ 127 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.204 * * * * [progress]: [ 128 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2))))))>
6.204 * * * * [progress]: [ 129 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2))))))>
6.204 * * * * [progress]: [ 130 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
6.204 * * * * [progress]: [ 131 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
6.204 * * * * [progress]: [ 132 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (log (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.204 * * * * [progress]: [ 133 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (log (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 134 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2))))))>
6.205 * * * * [progress]: [ 135 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2))))))>
6.205 * * * * [progress]: [ 136 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
6.205 * * * * [progress]: [ 137 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
6.205 * * * * [progress]: [ 138 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (log (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 139 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (log (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 140 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 141 / 307 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 142 / 307 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 143 / 307 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 144 / 307 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (cbrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 145 / 307 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 146 / 307 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (sqrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 147 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.205 * * * * [progress]: [ 148 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 149 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 150 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.205 * * * * [progress]: [ 151 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 152 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 153 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.205 * * * * [progress]: [ 154 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.205 * * * * [progress]: [ 155 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.205 * * * * [progress]: [ 156 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.205 * * * * [progress]: [ 157 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.206 * * * * [progress]: [ 158 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.206 * * * * [progress]: [ 159 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.206 * * * * [progress]: [ 160 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.206 * * * * [progress]: [ 161 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.206 * * * * [progress]: [ 162 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.206 * * * * [progress]: [ 163 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.206 * * * * [progress]: [ 164 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.206 * * * * [progress]: [ 165 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow PI (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
6.206 * * * * [progress]: [ 166 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.206 * * * * [progress]: [ 167 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.206 * * * * [progress]: [ 168 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.206 * * * * [progress]: [ 169 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.206 * * * * [progress]: [ 170 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.206 * * * * [progress]: [ 171 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.206 * * * * [progress]: [ 172 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.206 * * * * [progress]: [ 173 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.206 * * * * [progress]: [ 174 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.206 * * * * [progress]: [ 175 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
6.206 * * * * [progress]: [ 176 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.206 * * * * [progress]: [ 177 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.206 * * * * [progress]: [ 178 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.206 * * * * [progress]: [ 179 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.207 * * * * [progress]: [ 180 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.207 * * * * [progress]: [ 181 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.207 * * * * [progress]: [ 182 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2)))) (/ (cbrt 1) (pow (* PI (* n 2)) (/ k 2)))))>
6.207 * * * * [progress]: [ 183 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.207 * * * * [progress]: [ 184 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.207 * * * * [progress]: [ 185 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.207 * * * * [progress]: [ 186 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.207 * * * * [progress]: [ 187 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.207 * * * * [progress]: [ 188 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.207 * * * * [progress]: [ 189 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.207 * * * * [progress]: [ 190 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.207 * * * * [progress]: [ 191 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.207 * * * * [progress]: [ 192 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.207 * * * * [progress]: [ 193 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.207 * * * * [progress]: [ 194 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.207 * * * * [progress]: [ 195 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.207 * * * * [progress]: [ 196 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.207 * * * * [progress]: [ 197 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.207 * * * * [progress]: [ 198 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.207 * * * * [progress]: [ 199 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.207 * * * * [progress]: [ 200 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow PI (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
6.207 * * * * [progress]: [ 201 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.207 * * * * [progress]: [ 202 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.208 * * * * [progress]: [ 203 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.208 * * * * [progress]: [ 204 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.208 * * * * [progress]: [ 205 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.208 * * * * [progress]: [ 206 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.208 * * * * [progress]: [ 207 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.208 * * * * [progress]: [ 208 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.208 * * * * [progress]: [ 209 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.208 * * * * [progress]: [ 210 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
6.208 * * * * [progress]: [ 211 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.208 * * * * [progress]: [ 212 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.208 * * * * [progress]: [ 213 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.208 * * * * [progress]: [ 214 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.208 * * * * [progress]: [ 215 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.208 * * * * [progress]: [ 216 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.208 * * * * [progress]: [ 217 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2)))) (/ (sqrt 1) (pow (* PI (* n 2)) (/ k 2)))))>
6.208 * * * * [progress]: [ 218 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.208 * * * * [progress]: [ 219 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.208 * * * * [progress]: [ 220 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.208 * * * * [progress]: [ 221 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.208 * * * * [progress]: [ 222 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.208 * * * * [progress]: [ 223 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ 1 (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.208 * * * * [progress]: [ 224 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.208 * * * * [progress]: [ 225 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.208 * * * * [progress]: [ 226 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.209 * * * * [progress]: [ 227 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.209 * * * * [progress]: [ 228 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ 1 (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.209 * * * * [progress]: [ 229 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.209 * * * * [progress]: [ 230 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.209 * * * * [progress]: [ 231 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.209 * * * * [progress]: [ 232 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.209 * * * * [progress]: [ 233 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.209 * * * * [progress]: [ 234 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.209 * * * * [progress]: [ 235 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow PI (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
6.209 * * * * [progress]: [ 236 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.209 * * * * [progress]: [ 237 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.209 * * * * [progress]: [ 238 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.209 * * * * [progress]: [ 239 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.209 * * * * [progress]: [ 240 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
6.209 * * * * [progress]: [ 241 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.209 * * * * [progress]: [ 242 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.209 * * * * [progress]: [ 243 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.209 * * * * [progress]: [ 244 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.209 * * * * [progress]: [ 245 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow PI (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
6.209 * * * * [progress]: [ 246 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.209 * * * * [progress]: [ 247 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.209 * * * * [progress]: [ 248 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.209 * * * * [progress]: [ 249 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
6.209 * * * * [progress]: [ 250 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.210 * * * * [progress]: [ 251 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.210 * * * * [progress]: [ 252 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2)))) (/ 1 (pow (* PI (* n 2)) (/ k 2)))))>
6.210 * * * * [progress]: [ 253 / 307 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.210 * * * * [progress]: [ 254 / 307 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.210 * * * * [progress]: [ 255 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1)))>
6.210 * * * * [progress]: [ 256 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.210 * * * * [progress]: [ 257 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.210 * * * * [progress]: [ 258 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))>
6.210 * * * * [progress]: [ 259 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.210 * * * * [progress]: [ 260 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.210 * * * * [progress]: [ 261 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
6.210 * * * * [progress]: [ 262 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))>
6.210 * * * * [progress]: [ 263 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2)))))>
6.210 * * * * [progress]: [ 264 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.210 * * * * [progress]: [ 265 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.210 * * * * [progress]: [ 266 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
6.210 * * * * [progress]: [ 267 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))>
6.210 * * * * [progress]: [ 268 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))>
6.210 * * * * [progress]: [ 269 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.210 * * * * [progress]: [ 270 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.210 * * * * [progress]: [ 271 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
6.210 * * * * [progress]: [ 272 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))>
6.210 * * * * [progress]: [ 273 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow PI (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))>
6.210 * * * * [progress]: [ 274 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.211 * * * * [progress]: [ 275 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.211 * * * * [progress]: [ 276 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
6.211 * * * * [progress]: [ 277 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))>
6.211 * * * * [progress]: [ 278 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))>
6.211 * * * * [progress]: [ 279 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.211 * * * * [progress]: [ 280 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.211 * * * * [progress]: [ 281 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
6.211 * * * * [progress]: [ 282 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))>
6.211 * * * * [progress]: [ 283 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))>
6.211 * * * * [progress]: [ 284 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.211 * * * * [progress]: [ 285 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
6.211 * * * * [progress]: [ 286 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
6.211 * * * * [progress]: [ 287 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))>
6.211 * * * * [progress]: [ 288 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
6.211 * * * * [progress]: [ 289 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
6.211 * * * * [progress]: [ 290 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2)))) (pow (* PI (* n 2)) (/ k 2))))>
6.211 * * * * [progress]: [ 291 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt 1))))>
6.211 * * * * [progress]: [ 292 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt 1) (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt 1))))>
6.211 * * * * [progress]: [ 293 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1)))>
6.211 * * * * [progress]: [ 294 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))>
6.211 * * * * [progress]: [ 295 / 307 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
6.211 * * * * [progress]: [ 296 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))))))>
6.211 * * * * [progress]: [ 297 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
6.211 * * * * [progress]: [ 298 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
6.212 * * * * [progress]: [ 299 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
6.212 * * * * [progress]: [ 300 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
6.212 * * * * [progress]: [ 301 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
6.212 * * * * [progress]: [ 302 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
6.212 * * * * [progress]: [ 303 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))))))>
6.212 * * * * [progress]: [ 304 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))))>
6.212 * * * * [progress]: [ 305 / 307 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
6.212 * * * * [progress]: [ 306 / 307 ] 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)))))))))>
6.212 * * * * [progress]: [ 307 / 307 ] 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)))))))))))))>
6.216 * [simplify]: Simplifying:
  (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2))
  (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2))
  (* (log (* PI (* n 2))) (/ (- 1 k) 2))
  (* (log (* PI (* n 2))) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* PI (* n 2)) (/ 1 2))
  (pow (* PI (* n 2)) (/ k 2))
  (pow (* PI (* n 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* PI (* n 2)) (sqrt (/ (- 1 k) 2)))
  (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))
  (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) 1))
  (pow (* PI (* n 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ 1 (sqrt 2)))
  (pow (* PI (* n 2)) (/ 1 1))
  (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) 1))
  (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) 1))
  (pow (* PI (* n 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ 1 (sqrt 2)))
  (pow (* PI (* n 2)) (/ 1 1))
  (pow (* PI (* n 2)) 1)
  (pow (* PI (* n 2)) (- 1 k))
  (pow PI (/ (- 1 k) 2))
  (pow (* n 2) (/ (- 1 k) 2))
  (log (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (exp (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))
  (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (* PI (* n 2))
  (* PI (* n 2))
  (+ (log PI) (+ (log n) (log 2)))
  (+ (log PI) (log (* n 2)))
  (log (* PI (* n 2)))
  (exp (* PI (* n 2)))
  (* (* (* PI PI) PI) (* (* (* n n) n) (* (* 2 2) 2)))
  (* (* (* PI PI) PI) (* (* (* n 2) (* n 2)) (* n 2)))
  (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2))))
  (cbrt (* PI (* n 2)))
  (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))
  (sqrt (* PI (* n 2)))
  (sqrt (* PI (* n 2)))
  (* PI n)
  (* (cbrt PI) (* n 2))
  (* (sqrt PI) (* n 2))
  (* PI (* n 2))
  (real->posit16 (* PI (* n 2)))
  (- (log (sqrt k)) (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2)))
  (- (log (sqrt k)) (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2)))
  (- (log (sqrt k)) (* (log (* PI (* n 2))) (/ (- 1 k) 2)))
  (- (log (sqrt k)) (* (log (* PI (* n 2))) (/ (- 1 k) 2)))
  (- (log (sqrt k)) (log (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (log (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (exp (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (* (* (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (- (sqrt k))
  (- (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
  (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
  (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))
  (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1 k) 2)))
  (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt (cbrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) 1)
  (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))
  (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))
  (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))
  (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))
  (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))
  (/ (sqrt 1) (pow PI (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))
  (/ (sqrt 1) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt 1) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt 1) 1)
  (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (/ (sqrt 1) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))
  (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))
  (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))
  (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
  (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))
  (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))
  (/ 1 (pow PI (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))
  (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ 1 1)
  (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
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  (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ 1 1))
  (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ 1 (/ 1 (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 1)
  (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ 1 (sqrt k))
  (/ 1 (/ 1 (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2))))
  (/ 1 (pow (* PI (* n 2)) (/ k 2)))
  (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1)
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt 1) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt 1) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (sqrt 1) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt 1) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ 1 (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ 1 1))
  (/ 1 (/ 1 (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2))))
  (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt 1))
  (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt 1))
  (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1)
  (/ 1 (sqrt k))
  (real->posit16 (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
  (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))))
  (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))
  (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
6.223 * * [simplify]: iteration 1: (530 enodes)
6.872 * * [simplify]: Extracting #0: cost 163 inf + 0
6.873 * * [simplify]: Extracting #1: cost 562 inf + 2
6.876 * * [simplify]: Extracting #2: cost 643 inf + 5036
6.889 * * [simplify]: Extracting #3: cost 538 inf + 51978
6.924 * * [simplify]: Extracting #4: cost 372 inf + 147140
6.955 * * [simplify]: Extracting #5: cost 288 inf + 211880
6.987 * * [simplify]: Extracting #6: cost 234 inf + 245810
7.023 * * [simplify]: Extracting #7: cost 188 inf + 271120
7.069 * * [simplify]: Extracting #8: cost 128 inf + 297960
7.126 * * [simplify]: Extracting #9: cost 60 inf + 331037
7.193 * * [simplify]: Extracting #10: cost 25 inf + 353711
7.295 * * [simplify]: Extracting #11: cost 12 inf + 364920
7.382 * * [simplify]: Extracting #12: cost 2 inf + 374918
7.461 * * [simplify]: Extracting #13: cost 0 inf + 377260
7.540 * [simplify]: Simplified to:
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (pow (* (* PI n) 2) 1/2)
  (pow (* (* PI n) 2) (/ k 2))
  (pow (* (* PI n) 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* PI n) 2) (sqrt (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI n) 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI n) 2) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* PI n) 2) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI n) 2) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI n) 2) (sqrt (- 1 k)))
  (pow (* (* PI n) 2) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI n) 2) (/ 1 (sqrt 2)))
  (* (* PI n) 2)
  (pow (* (* PI n) 2) (/ (/ (+ 1 (sqrt k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* PI n) 2) (+ 1 (sqrt k)))
  (pow (* (* PI n) 2) (/ (/ (+ 1 (sqrt k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* PI n) 2) (+ 1 (sqrt k)))
  (pow (* (* PI n) 2) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI n) 2) (/ 1 (sqrt 2)))
  (* (* PI n) 2)
  (* (* PI n) 2)
  (pow (* (* PI n) 2) (- 1 k))
  (pow PI (/ (- 1 k) 2))
  (pow (* 2 n) (/ (- 1 k) 2))
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (exp (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (real->posit16 (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (* PI n) 2)
  (* (* PI n) 2)
  (log (* (* PI n) 2))
  (log (* (* PI n) 2))
  (log (* (* PI n) 2))
  (exp (* (* PI n) 2))
  (* (* (* (* PI PI) PI) (* n (* n n))) (* 4 2))
  (* (* (* PI PI) PI) (* (* (* 2 n) (* 2 n)) (* 2 n)))
  (* (cbrt (* (* PI n) 2)) (cbrt (* (* PI n) 2)))
  (cbrt (* (* PI n) 2))
  (* (* (* PI n) 2) (* (* (* PI n) 2) (* (* PI n) 2)))
  (sqrt (* (* PI n) 2))
  (sqrt (* (* PI n) 2))
  (* PI n)
  (* (* 2 n) (cbrt PI))
  (* (* 2 n) (sqrt PI))
  (* (* PI n) 2)
  (real->posit16 (* (* PI n) 2))
  (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2))))
  (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2))))
  (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2))))
  (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2))))
  (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2))))
  (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2))))
  (exp (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ k (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (* (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (- (sqrt k))
  (- (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (cbrt (sqrt k)) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k))))
  (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (cbrt (sqrt k)) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ (fabs (cbrt k)) (pow PI (/ (- 1 k) 2)))
  (/ (sqrt (cbrt k)) (pow (* 2 n) (/ (- 1 k) 2)))
  (/ (fabs (cbrt k)) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ (sqrt (cbrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (fabs (cbrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (sqrt (cbrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (fabs (cbrt k))
  (/ (sqrt (cbrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (fabs (cbrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ (sqrt (cbrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))
  (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- 1 k) 2)))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ 1 (pow PI (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* 2 n) (/ (- 1 k) 2)))
  (/ 1 (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ (sqrt k) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (sqrt k) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  1
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ 1 (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))
  (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- 1 k) 2)))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ 1 (pow PI (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* 2 n) (/ (- 1 k) 2)))
  (/ 1 (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ (sqrt k) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (sqrt k) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  1
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ 1 (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ 1 (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))
  (/ (sqrt k) (pow PI (/ (- 1 k) 2)))
  (/ (sqrt k) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ (sqrt k) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt k)
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))
  (/ (sqrt k) (pow (* (* PI n) 2) 1/2))
  (real->posit16 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  -1
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2)))))
  (exp (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (* (/ k (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (* (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (* (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (cbrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  -1
  (- (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (/ 1 (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (/ (cbrt (sqrt k)) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- 1 k) 2))))
  (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (* (/ 1 (cbrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ 1 (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ 1 (/ (fabs (cbrt k)) (pow PI (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (cbrt k))) (pow (* 2 n) (/ (- 1 k) 2)))
  (/ 1 (/ (fabs (cbrt k)) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (* (/ 1 (sqrt (cbrt k))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (cbrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (fabs (cbrt k)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (fabs (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (pow PI (/ (- 1 k) 2))
  (* (/ 1 (sqrt k)) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 4))))
  (* (/ 1 (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (pow PI (/ (- 1 k) 2))
  (* (/ 1 (sqrt k)) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 4))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ 1 (sqrt k))
  (pow (* (* PI n) 2) (/ (- 1 k) 2))
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) 1/2))
  (/ 1 (pow (* (* PI n) 2) (/ k 2)))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (/ 1 (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (/ (cbrt (sqrt k)) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- 1 k) 2))))
  (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (* (/ 1 (cbrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ 1 (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ 1 (/ (fabs (cbrt k)) (pow PI (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (cbrt k))) (pow (* 2 n) (/ (- 1 k) 2)))
  (/ 1 (/ (fabs (cbrt k)) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (* (/ 1 (sqrt (cbrt k))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (cbrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (fabs (cbrt k)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (fabs (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (pow PI (/ (- 1 k) 2))
  (* (/ 1 (sqrt k)) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 1)
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 4))))
  (* (/ 1 (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (pow PI (/ (- 1 k) 2))
  (* (/ 1 (sqrt k)) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 4))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ 1 (sqrt k))
  (pow (* (* PI n) 2) (/ (- 1 k) 2))
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) 1/2))
  (/ 1 (pow (* (* PI n) 2) (/ k 2)))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (/ 1 (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (/ (cbrt (sqrt k)) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- 1 k) 2))))
  (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (* (/ 1 (cbrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ 1 (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ 1 (/ (fabs (cbrt k)) (pow PI (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (cbrt k))) (pow (* 2 n) (/ (- 1 k) 2)))
  (/ 1 (/ (fabs (cbrt k)) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (* (/ 1 (sqrt (cbrt k))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (cbrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (fabs (cbrt k)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (fabs (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (pow PI (/ (- 1 k) 2))
  (* (/ 1 (sqrt k)) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 4))))
  (* (/ 1 (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (pow PI (/ (- 1 k) 2))
  (* (/ 1 (sqrt k)) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 4))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ 1 (sqrt k))
  (pow (* (* PI n) 2) (/ (- 1 k) 2))
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) 1/2))
  (/ 1 (pow (* (* PI n) 2) (/ k 2)))
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (/ (cbrt (sqrt k)) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))))
  (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ 1 (/ (fabs (cbrt k)) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (fabs (cbrt k)) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (fabs (cbrt k)))
  (* (/ 1 (fabs (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (pow PI (/ (- 1 k) 2))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  1
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (* (/ 1 (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (pow PI (/ (- 1 k) 2))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  1
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  1
  (/ 1 (sqrt k))
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) 1/2))
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ 1 (sqrt k))
  (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (- (+ (+ (* (* 1/4 (log (* 2 PI))) (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) (* k k)))) (* (* (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) (log n))) (* k k)) 1/8)) (+ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (* 1/8 (* (log (* 2 PI)) (log (* 2 PI)))) (* (* k k) (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))))) (* 1/2 (+ (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k)) (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) k))))
  (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))
  (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* (* PI n) 2)
  (* (* PI n) 2)
  (* (* PI n) 2)
  (- (- (/ (* +nan.0 (* (* (sqrt 2) (* k k)) (* (log (* 2 PI)) (* (sqrt 1/2) (sqrt 1/2))))) PI) (- (/ (* +nan.0 (* (sqrt 1/2) (* k k))) PI) (- (/ (* +nan.0 (* n (* k (sqrt 1/2)))) (* PI PI)) (- (* (/ (* (log n) (* (* (* (sqrt 1/2) (sqrt 1/2)) (* k k)) (sqrt 2))) PI) +nan.0) (/ (* +nan.0 (* k (sqrt 1/2))) PI))))))
  (- (- (/ (* +nan.0 1) (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) (- (/ (* +nan.0 1) (* (* k k) (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))))) (/ (* +nan.0 1) (* (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) k)))))
  (- (- (* (/ (exp (- (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) k) +nan.0) (- (/ (* +nan.0 1) (* (* k k) (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (* (exp (- (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) +nan.0))))
  (- (- (* (* (* (* PI n) k) (sqrt 2)) +nan.0) (- (* (* +nan.0 (sqrt 2)) (* PI n)) (- (* +nan.0 (* (log (* 2 PI)) (* (* (* PI n) k) (sqrt 2)))) (- (* (* +nan.0 (sqrt 2)) (* (* PI n) (* (log n) k))) (* (* +nan.0 (sqrt 2)) (* (* PI PI) (* n n))))))))
  (- (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) k) +nan.0) (- (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) (* k k)) (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) (* (* k k) k)))))
  (- (- (* (/ (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))))) (* k k)) +nan.0) (* (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))) +nan.0))))
7.591 * * * [progress]: adding candidates to table
11.317 * * [progress]: iteration 3 / 4
11.317 * * * [progress]: picking best candidate
11.348 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
11.348 * * * [progress]: localizing error
11.372 * * * [progress]: generating rewritten candidates
11.372 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
11.385 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
11.401 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
11.417 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
11.459 * * * [progress]: generating series expansions
11.459 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
11.459 * [backup-simplify]: Simplify (pow (* PI (* n 2)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
11.460 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
11.460 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
11.460 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
11.460 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
11.460 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
11.460 * [taylor]: Taking taylor expansion of 1/2 in k
11.460 * [backup-simplify]: Simplify 1/2 into 1/2
11.460 * [taylor]: Taking taylor expansion of (- 1 k) in k
11.460 * [taylor]: Taking taylor expansion of 1 in k
11.460 * [backup-simplify]: Simplify 1 into 1
11.460 * [taylor]: Taking taylor expansion of k in k
11.460 * [backup-simplify]: Simplify 0 into 0
11.460 * [backup-simplify]: Simplify 1 into 1
11.460 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
11.460 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
11.460 * [taylor]: Taking taylor expansion of 2 in k
11.460 * [backup-simplify]: Simplify 2 into 2
11.460 * [taylor]: Taking taylor expansion of (* n PI) in k
11.460 * [taylor]: Taking taylor expansion of n in k
11.460 * [backup-simplify]: Simplify n into n
11.460 * [taylor]: Taking taylor expansion of PI in k
11.460 * [backup-simplify]: Simplify PI into PI
11.460 * [backup-simplify]: Simplify (* n PI) into (* n PI)
11.461 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
11.461 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
11.461 * [backup-simplify]: Simplify (- 0) into 0
11.462 * [backup-simplify]: Simplify (+ 1 0) into 1
11.462 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.462 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
11.462 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
11.463 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
11.463 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
11.463 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
11.463 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
11.463 * [taylor]: Taking taylor expansion of 1/2 in n
11.463 * [backup-simplify]: Simplify 1/2 into 1/2
11.463 * [taylor]: Taking taylor expansion of (- 1 k) in n
11.463 * [taylor]: Taking taylor expansion of 1 in n
11.463 * [backup-simplify]: Simplify 1 into 1
11.463 * [taylor]: Taking taylor expansion of k in n
11.463 * [backup-simplify]: Simplify k into k
11.463 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.463 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.463 * [taylor]: Taking taylor expansion of 2 in n
11.463 * [backup-simplify]: Simplify 2 into 2
11.463 * [taylor]: Taking taylor expansion of (* n PI) in n
11.463 * [taylor]: Taking taylor expansion of n in n
11.463 * [backup-simplify]: Simplify 0 into 0
11.463 * [backup-simplify]: Simplify 1 into 1
11.463 * [taylor]: Taking taylor expansion of PI in n
11.463 * [backup-simplify]: Simplify PI into PI
11.464 * [backup-simplify]: Simplify (* 0 PI) into 0
11.464 * [backup-simplify]: Simplify (* 2 0) into 0
11.466 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.467 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.468 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.468 * [backup-simplify]: Simplify (- k) into (- k)
11.469 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
11.469 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
11.470 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.471 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
11.472 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
11.472 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
11.472 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
11.472 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
11.472 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
11.472 * [taylor]: Taking taylor expansion of 1/2 in n
11.472 * [backup-simplify]: Simplify 1/2 into 1/2
11.472 * [taylor]: Taking taylor expansion of (- 1 k) in n
11.472 * [taylor]: Taking taylor expansion of 1 in n
11.472 * [backup-simplify]: Simplify 1 into 1
11.472 * [taylor]: Taking taylor expansion of k in n
11.472 * [backup-simplify]: Simplify k into k
11.472 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.473 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.473 * [taylor]: Taking taylor expansion of 2 in n
11.473 * [backup-simplify]: Simplify 2 into 2
11.473 * [taylor]: Taking taylor expansion of (* n PI) in n
11.473 * [taylor]: Taking taylor expansion of n in n
11.473 * [backup-simplify]: Simplify 0 into 0
11.473 * [backup-simplify]: Simplify 1 into 1
11.473 * [taylor]: Taking taylor expansion of PI in n
11.473 * [backup-simplify]: Simplify PI into PI
11.473 * [backup-simplify]: Simplify (* 0 PI) into 0
11.474 * [backup-simplify]: Simplify (* 2 0) into 0
11.475 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.477 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.478 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.478 * [backup-simplify]: Simplify (- k) into (- k)
11.478 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
11.478 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
11.479 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.481 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
11.482 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
11.482 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
11.482 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
11.482 * [taylor]: Taking taylor expansion of 1/2 in k
11.482 * [backup-simplify]: Simplify 1/2 into 1/2
11.482 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
11.482 * [taylor]: Taking taylor expansion of (- 1 k) in k
11.482 * [taylor]: Taking taylor expansion of 1 in k
11.482 * [backup-simplify]: Simplify 1 into 1
11.482 * [taylor]: Taking taylor expansion of k in k
11.482 * [backup-simplify]: Simplify 0 into 0
11.482 * [backup-simplify]: Simplify 1 into 1
11.482 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
11.482 * [taylor]: Taking taylor expansion of (log n) in k
11.482 * [taylor]: Taking taylor expansion of n in k
11.482 * [backup-simplify]: Simplify n into n
11.482 * [backup-simplify]: Simplify (log n) into (log n)
11.482 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
11.482 * [taylor]: Taking taylor expansion of (* 2 PI) in k
11.482 * [taylor]: Taking taylor expansion of 2 in k
11.482 * [backup-simplify]: Simplify 2 into 2
11.482 * [taylor]: Taking taylor expansion of PI in k
11.482 * [backup-simplify]: Simplify PI into PI
11.483 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.484 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.484 * [backup-simplify]: Simplify (- 0) into 0
11.485 * [backup-simplify]: Simplify (+ 1 0) into 1
11.486 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.487 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
11.488 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
11.489 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
11.490 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
11.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.492 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
11.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.494 * [backup-simplify]: Simplify (- 0) into 0
11.494 * [backup-simplify]: Simplify (+ 0 0) into 0
11.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
11.496 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.497 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
11.499 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.499 * [taylor]: Taking taylor expansion of 0 in k
11.499 * [backup-simplify]: Simplify 0 into 0
11.499 * [backup-simplify]: Simplify 0 into 0
11.500 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
11.501 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.503 * [backup-simplify]: Simplify (+ 0 0) into 0
11.503 * [backup-simplify]: Simplify (- 1) into -1
11.504 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.505 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
11.507 * [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)))))
11.510 * [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)))))))
11.519 * [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)))))))
11.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
11.521 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
11.525 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.525 * [backup-simplify]: Simplify (- 0) into 0
11.526 * [backup-simplify]: Simplify (+ 0 0) into 0
11.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
11.528 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.529 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.532 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.532 * [taylor]: Taking taylor expansion of 0 in k
11.532 * [backup-simplify]: Simplify 0 into 0
11.532 * [backup-simplify]: Simplify 0 into 0
11.532 * [backup-simplify]: Simplify 0 into 0
11.534 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
11.535 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.536 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.537 * [backup-simplify]: Simplify (+ 0 0) into 0
11.537 * [backup-simplify]: Simplify (- 0) into 0
11.537 * [backup-simplify]: Simplify (+ 0 0) into 0
11.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.542 * [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)))))
11.545 * [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)))))
11.550 * [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)))))
11.550 * [backup-simplify]: Simplify (pow (* PI (* (/ 1 n) 2)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
11.550 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
11.550 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
11.550 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
11.550 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
11.550 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
11.550 * [taylor]: Taking taylor expansion of 1/2 in k
11.550 * [backup-simplify]: Simplify 1/2 into 1/2
11.550 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
11.550 * [taylor]: Taking taylor expansion of 1 in k
11.550 * [backup-simplify]: Simplify 1 into 1
11.550 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.550 * [taylor]: Taking taylor expansion of k in k
11.550 * [backup-simplify]: Simplify 0 into 0
11.550 * [backup-simplify]: Simplify 1 into 1
11.551 * [backup-simplify]: Simplify (/ 1 1) into 1
11.551 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
11.551 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
11.551 * [taylor]: Taking taylor expansion of 2 in k
11.551 * [backup-simplify]: Simplify 2 into 2
11.551 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.551 * [taylor]: Taking taylor expansion of PI in k
11.551 * [backup-simplify]: Simplify PI into PI
11.551 * [taylor]: Taking taylor expansion of n in k
11.551 * [backup-simplify]: Simplify n into n
11.551 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.551 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
11.551 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
11.551 * [backup-simplify]: Simplify (- 1) into -1
11.551 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.552 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
11.552 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
11.552 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
11.552 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
11.552 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
11.552 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
11.552 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
11.552 * [taylor]: Taking taylor expansion of 1/2 in n
11.552 * [backup-simplify]: Simplify 1/2 into 1/2
11.552 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.552 * [taylor]: Taking taylor expansion of 1 in n
11.552 * [backup-simplify]: Simplify 1 into 1
11.552 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.552 * [taylor]: Taking taylor expansion of k in n
11.552 * [backup-simplify]: Simplify k into k
11.552 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.552 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.552 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.552 * [taylor]: Taking taylor expansion of 2 in n
11.552 * [backup-simplify]: Simplify 2 into 2
11.552 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.552 * [taylor]: Taking taylor expansion of PI in n
11.552 * [backup-simplify]: Simplify PI into PI
11.552 * [taylor]: Taking taylor expansion of n in n
11.552 * [backup-simplify]: Simplify 0 into 0
11.552 * [backup-simplify]: Simplify 1 into 1
11.553 * [backup-simplify]: Simplify (/ PI 1) into PI
11.553 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.553 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.553 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.554 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.554 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
11.554 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.555 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.556 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.556 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
11.556 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
11.556 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
11.556 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
11.556 * [taylor]: Taking taylor expansion of 1/2 in n
11.556 * [backup-simplify]: Simplify 1/2 into 1/2
11.556 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.556 * [taylor]: Taking taylor expansion of 1 in n
11.556 * [backup-simplify]: Simplify 1 into 1
11.556 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.556 * [taylor]: Taking taylor expansion of k in n
11.556 * [backup-simplify]: Simplify k into k
11.556 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.556 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.556 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.556 * [taylor]: Taking taylor expansion of 2 in n
11.556 * [backup-simplify]: Simplify 2 into 2
11.556 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.556 * [taylor]: Taking taylor expansion of PI in n
11.556 * [backup-simplify]: Simplify PI into PI
11.556 * [taylor]: Taking taylor expansion of n in n
11.556 * [backup-simplify]: Simplify 0 into 0
11.556 * [backup-simplify]: Simplify 1 into 1
11.556 * [backup-simplify]: Simplify (/ PI 1) into PI
11.557 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.557 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.557 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.557 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.557 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
11.558 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.559 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.560 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.560 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
11.560 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
11.560 * [taylor]: Taking taylor expansion of 1/2 in k
11.560 * [backup-simplify]: Simplify 1/2 into 1/2
11.560 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
11.560 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
11.560 * [taylor]: Taking taylor expansion of 1 in k
11.560 * [backup-simplify]: Simplify 1 into 1
11.560 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.560 * [taylor]: Taking taylor expansion of k in k
11.560 * [backup-simplify]: Simplify 0 into 0
11.560 * [backup-simplify]: Simplify 1 into 1
11.560 * [backup-simplify]: Simplify (/ 1 1) into 1
11.560 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
11.560 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
11.560 * [taylor]: Taking taylor expansion of (* 2 PI) in k
11.560 * [taylor]: Taking taylor expansion of 2 in k
11.560 * [backup-simplify]: Simplify 2 into 2
11.560 * [taylor]: Taking taylor expansion of PI in k
11.560 * [backup-simplify]: Simplify PI into PI
11.561 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.561 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.561 * [taylor]: Taking taylor expansion of (log n) in k
11.561 * [taylor]: Taking taylor expansion of n in k
11.561 * [backup-simplify]: Simplify n into n
11.562 * [backup-simplify]: Simplify (log n) into (log n)
11.562 * [backup-simplify]: Simplify (- 1) into -1
11.562 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.562 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.563 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
11.563 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
11.564 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
11.565 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.565 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.566 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.568 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.569 * [backup-simplify]: Simplify (- 0) into 0
11.569 * [backup-simplify]: Simplify (+ 0 0) into 0
11.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
11.571 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.571 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
11.573 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.573 * [taylor]: Taking taylor expansion of 0 in k
11.573 * [backup-simplify]: Simplify 0 into 0
11.573 * [backup-simplify]: Simplify 0 into 0
11.573 * [backup-simplify]: Simplify 0 into 0
11.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.574 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.576 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.576 * [backup-simplify]: Simplify (- 0) into 0
11.576 * [backup-simplify]: Simplify (+ 0 0) into 0
11.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
11.578 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.579 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
11.580 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.580 * [taylor]: Taking taylor expansion of 0 in k
11.580 * [backup-simplify]: Simplify 0 into 0
11.580 * [backup-simplify]: Simplify 0 into 0
11.580 * [backup-simplify]: Simplify 0 into 0
11.580 * [backup-simplify]: Simplify 0 into 0
11.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.581 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.585 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
11.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.585 * [backup-simplify]: Simplify (- 0) into 0
11.585 * [backup-simplify]: Simplify (+ 0 0) into 0
11.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
11.587 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.588 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
11.590 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.590 * [taylor]: Taking taylor expansion of 0 in k
11.590 * [backup-simplify]: Simplify 0 into 0
11.590 * [backup-simplify]: Simplify 0 into 0
11.590 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
11.591 * [backup-simplify]: Simplify (pow (* PI (* (/ 1 (- n)) 2)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
11.591 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
11.591 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
11.591 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
11.591 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
11.591 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
11.591 * [taylor]: Taking taylor expansion of 1/2 in k
11.591 * [backup-simplify]: Simplify 1/2 into 1/2
11.591 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
11.591 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.591 * [taylor]: Taking taylor expansion of k in k
11.591 * [backup-simplify]: Simplify 0 into 0
11.591 * [backup-simplify]: Simplify 1 into 1
11.591 * [backup-simplify]: Simplify (/ 1 1) into 1
11.591 * [taylor]: Taking taylor expansion of 1 in k
11.591 * [backup-simplify]: Simplify 1 into 1
11.591 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
11.591 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
11.591 * [taylor]: Taking taylor expansion of -2 in k
11.591 * [backup-simplify]: Simplify -2 into -2
11.591 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.591 * [taylor]: Taking taylor expansion of PI in k
11.591 * [backup-simplify]: Simplify PI into PI
11.591 * [taylor]: Taking taylor expansion of n in k
11.591 * [backup-simplify]: Simplify n into n
11.591 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.591 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
11.591 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
11.592 * [backup-simplify]: Simplify (+ 1 0) into 1
11.592 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.592 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
11.592 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
11.592 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
11.592 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
11.592 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
11.592 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
11.592 * [taylor]: Taking taylor expansion of 1/2 in n
11.592 * [backup-simplify]: Simplify 1/2 into 1/2
11.592 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.592 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.592 * [taylor]: Taking taylor expansion of k in n
11.592 * [backup-simplify]: Simplify k into k
11.592 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.592 * [taylor]: Taking taylor expansion of 1 in n
11.592 * [backup-simplify]: Simplify 1 into 1
11.592 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.592 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.592 * [taylor]: Taking taylor expansion of -2 in n
11.592 * [backup-simplify]: Simplify -2 into -2
11.592 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.592 * [taylor]: Taking taylor expansion of PI in n
11.592 * [backup-simplify]: Simplify PI into PI
11.592 * [taylor]: Taking taylor expansion of n in n
11.592 * [backup-simplify]: Simplify 0 into 0
11.592 * [backup-simplify]: Simplify 1 into 1
11.593 * [backup-simplify]: Simplify (/ PI 1) into PI
11.593 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.594 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.594 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.594 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
11.595 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.595 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
11.596 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.596 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
11.596 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
11.596 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
11.596 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
11.596 * [taylor]: Taking taylor expansion of 1/2 in n
11.596 * [backup-simplify]: Simplify 1/2 into 1/2
11.596 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.596 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.596 * [taylor]: Taking taylor expansion of k in n
11.596 * [backup-simplify]: Simplify k into k
11.596 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.596 * [taylor]: Taking taylor expansion of 1 in n
11.596 * [backup-simplify]: Simplify 1 into 1
11.596 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.596 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.596 * [taylor]: Taking taylor expansion of -2 in n
11.596 * [backup-simplify]: Simplify -2 into -2
11.596 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.596 * [taylor]: Taking taylor expansion of PI in n
11.596 * [backup-simplify]: Simplify PI into PI
11.596 * [taylor]: Taking taylor expansion of n in n
11.596 * [backup-simplify]: Simplify 0 into 0
11.596 * [backup-simplify]: Simplify 1 into 1
11.597 * [backup-simplify]: Simplify (/ PI 1) into PI
11.597 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.598 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.598 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.598 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
11.599 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.599 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
11.600 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.600 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
11.600 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
11.600 * [taylor]: Taking taylor expansion of 1/2 in k
11.600 * [backup-simplify]: Simplify 1/2 into 1/2
11.600 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
11.600 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
11.600 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.600 * [taylor]: Taking taylor expansion of k in k
11.600 * [backup-simplify]: Simplify 0 into 0
11.600 * [backup-simplify]: Simplify 1 into 1
11.601 * [backup-simplify]: Simplify (/ 1 1) into 1
11.601 * [taylor]: Taking taylor expansion of 1 in k
11.601 * [backup-simplify]: Simplify 1 into 1
11.601 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
11.601 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
11.601 * [taylor]: Taking taylor expansion of (* -2 PI) in k
11.601 * [taylor]: Taking taylor expansion of -2 in k
11.601 * [backup-simplify]: Simplify -2 into -2
11.601 * [taylor]: Taking taylor expansion of PI in k
11.601 * [backup-simplify]: Simplify PI into PI
11.601 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.602 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.602 * [taylor]: Taking taylor expansion of (log n) in k
11.602 * [taylor]: Taking taylor expansion of n in k
11.602 * [backup-simplify]: Simplify n into n
11.602 * [backup-simplify]: Simplify (log n) into (log n)
11.602 * [backup-simplify]: Simplify (+ 1 0) into 1
11.602 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.603 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
11.603 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
11.604 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
11.605 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.605 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.607 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
11.608 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
11.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.608 * [backup-simplify]: Simplify (+ 0 0) into 0
11.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
11.612 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.612 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
11.613 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.613 * [taylor]: Taking taylor expansion of 0 in k
11.613 * [backup-simplify]: Simplify 0 into 0
11.614 * [backup-simplify]: Simplify 0 into 0
11.614 * [backup-simplify]: Simplify 0 into 0
11.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.615 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
11.617 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
11.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.617 * [backup-simplify]: Simplify (+ 0 0) into 0
11.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
11.618 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.619 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
11.620 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.621 * [taylor]: Taking taylor expansion of 0 in k
11.621 * [backup-simplify]: Simplify 0 into 0
11.621 * [backup-simplify]: Simplify 0 into 0
11.621 * [backup-simplify]: Simplify 0 into 0
11.621 * [backup-simplify]: Simplify 0 into 0
11.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.622 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.625 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
11.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.625 * [backup-simplify]: Simplify (+ 0 0) into 0
11.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
11.627 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.628 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
11.630 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.630 * [taylor]: Taking taylor expansion of 0 in k
11.630 * [backup-simplify]: Simplify 0 into 0
11.630 * [backup-simplify]: Simplify 0 into 0
11.630 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
11.631 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
11.631 * [backup-simplify]: Simplify (* PI (* n 2)) into (* 2 (* n PI))
11.631 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
11.631 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.631 * [taylor]: Taking taylor expansion of 2 in n
11.631 * [backup-simplify]: Simplify 2 into 2
11.631 * [taylor]: Taking taylor expansion of (* n PI) in n
11.631 * [taylor]: Taking taylor expansion of n in n
11.631 * [backup-simplify]: Simplify 0 into 0
11.631 * [backup-simplify]: Simplify 1 into 1
11.631 * [taylor]: Taking taylor expansion of PI in n
11.631 * [backup-simplify]: Simplify PI into PI
11.631 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.631 * [taylor]: Taking taylor expansion of 2 in n
11.631 * [backup-simplify]: Simplify 2 into 2
11.631 * [taylor]: Taking taylor expansion of (* n PI) in n
11.631 * [taylor]: Taking taylor expansion of n in n
11.631 * [backup-simplify]: Simplify 0 into 0
11.631 * [backup-simplify]: Simplify 1 into 1
11.631 * [taylor]: Taking taylor expansion of PI in n
11.631 * [backup-simplify]: Simplify PI into PI
11.631 * [backup-simplify]: Simplify (* 0 PI) into 0
11.631 * [backup-simplify]: Simplify (* 2 0) into 0
11.632 * [backup-simplify]: Simplify 0 into 0
11.632 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.633 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.634 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.635 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
11.635 * [backup-simplify]: Simplify 0 into 0
11.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
11.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
11.636 * [backup-simplify]: Simplify 0 into 0
11.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
11.637 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
11.637 * [backup-simplify]: Simplify 0 into 0
11.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
11.639 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
11.639 * [backup-simplify]: Simplify 0 into 0
11.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
11.641 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
11.641 * [backup-simplify]: Simplify 0 into 0
11.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
11.643 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
11.643 * [backup-simplify]: Simplify 0 into 0
11.643 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
11.644 * [backup-simplify]: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
11.644 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
11.644 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.644 * [taylor]: Taking taylor expansion of 2 in n
11.644 * [backup-simplify]: Simplify 2 into 2
11.644 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.644 * [taylor]: Taking taylor expansion of PI in n
11.644 * [backup-simplify]: Simplify PI into PI
11.644 * [taylor]: Taking taylor expansion of n in n
11.644 * [backup-simplify]: Simplify 0 into 0
11.644 * [backup-simplify]: Simplify 1 into 1
11.644 * [backup-simplify]: Simplify (/ PI 1) into PI
11.644 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.644 * [taylor]: Taking taylor expansion of 2 in n
11.644 * [backup-simplify]: Simplify 2 into 2
11.644 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.644 * [taylor]: Taking taylor expansion of PI in n
11.644 * [backup-simplify]: Simplify PI into PI
11.644 * [taylor]: Taking taylor expansion of n in n
11.644 * [backup-simplify]: Simplify 0 into 0
11.644 * [backup-simplify]: Simplify 1 into 1
11.644 * [backup-simplify]: Simplify (/ PI 1) into PI
11.645 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.645 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.646 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.646 * [backup-simplify]: Simplify 0 into 0
11.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.647 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.647 * [backup-simplify]: Simplify 0 into 0
11.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.649 * [backup-simplify]: Simplify 0 into 0
11.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.650 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
11.650 * [backup-simplify]: Simplify 0 into 0
11.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.651 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
11.651 * [backup-simplify]: Simplify 0 into 0
11.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.653 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
11.653 * [backup-simplify]: Simplify 0 into 0
11.653 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
11.653 * [backup-simplify]: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
11.653 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
11.653 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.653 * [taylor]: Taking taylor expansion of -2 in n
11.653 * [backup-simplify]: Simplify -2 into -2
11.653 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.653 * [taylor]: Taking taylor expansion of PI in n
11.653 * [backup-simplify]: Simplify PI into PI
11.653 * [taylor]: Taking taylor expansion of n in n
11.654 * [backup-simplify]: Simplify 0 into 0
11.654 * [backup-simplify]: Simplify 1 into 1
11.654 * [backup-simplify]: Simplify (/ PI 1) into PI
11.654 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.654 * [taylor]: Taking taylor expansion of -2 in n
11.654 * [backup-simplify]: Simplify -2 into -2
11.654 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.654 * [taylor]: Taking taylor expansion of PI in n
11.654 * [backup-simplify]: Simplify PI into PI
11.654 * [taylor]: Taking taylor expansion of n in n
11.654 * [backup-simplify]: Simplify 0 into 0
11.654 * [backup-simplify]: Simplify 1 into 1
11.654 * [backup-simplify]: Simplify (/ PI 1) into PI
11.655 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.655 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.656 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
11.656 * [backup-simplify]: Simplify 0 into 0
11.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.657 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
11.657 * [backup-simplify]: Simplify 0 into 0
11.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.658 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.658 * [backup-simplify]: Simplify 0 into 0
11.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.660 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
11.660 * [backup-simplify]: Simplify 0 into 0
11.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.661 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
11.661 * [backup-simplify]: Simplify 0 into 0
11.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.663 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
11.663 * [backup-simplify]: Simplify 0 into 0
11.664 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
11.664 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
11.664 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k))
11.664 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in (k n) around 0
11.664 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in n
11.664 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n
11.664 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
11.664 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
11.664 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
11.664 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
11.664 * [taylor]: Taking taylor expansion of 1/2 in n
11.664 * [backup-simplify]: Simplify 1/2 into 1/2
11.664 * [taylor]: Taking taylor expansion of (- 1 k) in n
11.664 * [taylor]: Taking taylor expansion of 1 in n
11.664 * [backup-simplify]: Simplify 1 into 1
11.664 * [taylor]: Taking taylor expansion of k in n
11.664 * [backup-simplify]: Simplify k into k
11.664 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.665 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.665 * [taylor]: Taking taylor expansion of 2 in n
11.665 * [backup-simplify]: Simplify 2 into 2
11.665 * [taylor]: Taking taylor expansion of (* n PI) in n
11.665 * [taylor]: Taking taylor expansion of n in n
11.665 * [backup-simplify]: Simplify 0 into 0
11.665 * [backup-simplify]: Simplify 1 into 1
11.665 * [taylor]: Taking taylor expansion of PI in n
11.665 * [backup-simplify]: Simplify PI into PI
11.665 * [backup-simplify]: Simplify (* 0 PI) into 0
11.666 * [backup-simplify]: Simplify (* 2 0) into 0
11.667 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.669 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.670 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.670 * [backup-simplify]: Simplify (- k) into (- k)
11.670 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
11.670 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
11.671 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.672 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
11.673 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
11.674 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))))
11.674 * [taylor]: Taking taylor expansion of (sqrt k) in n
11.674 * [taylor]: Taking taylor expansion of k in n
11.674 * [backup-simplify]: Simplify k into k
11.674 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
11.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
11.675 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k
11.675 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k
11.675 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
11.675 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
11.675 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
11.675 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
11.675 * [taylor]: Taking taylor expansion of 1/2 in k
11.675 * [backup-simplify]: Simplify 1/2 into 1/2
11.675 * [taylor]: Taking taylor expansion of (- 1 k) in k
11.675 * [taylor]: Taking taylor expansion of 1 in k
11.675 * [backup-simplify]: Simplify 1 into 1
11.675 * [taylor]: Taking taylor expansion of k in k
11.675 * [backup-simplify]: Simplify 0 into 0
11.675 * [backup-simplify]: Simplify 1 into 1
11.675 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
11.675 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
11.675 * [taylor]: Taking taylor expansion of 2 in k
11.675 * [backup-simplify]: Simplify 2 into 2
11.675 * [taylor]: Taking taylor expansion of (* n PI) in k
11.675 * [taylor]: Taking taylor expansion of n in k
11.675 * [backup-simplify]: Simplify n into n
11.675 * [taylor]: Taking taylor expansion of PI in k
11.675 * [backup-simplify]: Simplify PI into PI
11.675 * [backup-simplify]: Simplify (* n PI) into (* n PI)
11.675 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
11.675 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
11.676 * [backup-simplify]: Simplify (- 0) into 0
11.676 * [backup-simplify]: Simplify (+ 1 0) into 1
11.677 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.677 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
11.677 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
11.677 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
11.677 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.677 * [taylor]: Taking taylor expansion of k in k
11.677 * [backup-simplify]: Simplify 0 into 0
11.677 * [backup-simplify]: Simplify 1 into 1
11.677 * [backup-simplify]: Simplify (sqrt 0) into 0
11.679 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.679 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k
11.679 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k
11.679 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
11.679 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
11.679 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
11.679 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
11.679 * [taylor]: Taking taylor expansion of 1/2 in k
11.679 * [backup-simplify]: Simplify 1/2 into 1/2
11.679 * [taylor]: Taking taylor expansion of (- 1 k) in k
11.679 * [taylor]: Taking taylor expansion of 1 in k
11.679 * [backup-simplify]: Simplify 1 into 1
11.679 * [taylor]: Taking taylor expansion of k in k
11.679 * [backup-simplify]: Simplify 0 into 0
11.679 * [backup-simplify]: Simplify 1 into 1
11.679 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
11.680 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
11.680 * [taylor]: Taking taylor expansion of 2 in k
11.680 * [backup-simplify]: Simplify 2 into 2
11.680 * [taylor]: Taking taylor expansion of (* n PI) in k
11.680 * [taylor]: Taking taylor expansion of n in k
11.680 * [backup-simplify]: Simplify n into n
11.680 * [taylor]: Taking taylor expansion of PI in k
11.680 * [backup-simplify]: Simplify PI into PI
11.680 * [backup-simplify]: Simplify (* n PI) into (* n PI)
11.680 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
11.680 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
11.680 * [backup-simplify]: Simplify (- 0) into 0
11.681 * [backup-simplify]: Simplify (+ 1 0) into 1
11.681 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.681 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
11.681 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
11.682 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
11.682 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.682 * [taylor]: Taking taylor expansion of k in k
11.682 * [backup-simplify]: Simplify 0 into 0
11.682 * [backup-simplify]: Simplify 1 into 1
11.682 * [backup-simplify]: Simplify (sqrt 0) into 0
11.683 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.684 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
11.684 * [taylor]: Taking taylor expansion of 0 in n
11.684 * [backup-simplify]: Simplify 0 into 0
11.684 * [backup-simplify]: Simplify 0 into 0
11.684 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
11.685 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
11.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
11.686 * [backup-simplify]: Simplify (- 1) into -1
11.687 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.687 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
11.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
11.688 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
11.689 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))
11.691 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))
11.691 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
11.691 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
11.691 * [taylor]: Taking taylor expansion of +nan.0 in n
11.691 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.691 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
11.691 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
11.691 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
11.691 * [taylor]: Taking taylor expansion of (* n PI) in n
11.691 * [taylor]: Taking taylor expansion of n in n
11.691 * [backup-simplify]: Simplify 0 into 0
11.691 * [backup-simplify]: Simplify 1 into 1
11.691 * [taylor]: Taking taylor expansion of PI in n
11.692 * [backup-simplify]: Simplify PI into PI
11.692 * [backup-simplify]: Simplify (* 0 PI) into 0
11.694 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.694 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
11.695 * [backup-simplify]: Simplify (sqrt 0) into 0
11.697 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
11.697 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
11.697 * [taylor]: Taking taylor expansion of 1/2 in n
11.697 * [backup-simplify]: Simplify 1/2 into 1/2
11.697 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.701 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
11.702 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
11.708 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
11.711 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
11.714 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
11.714 * [backup-simplify]: Simplify 0 into 0
11.717 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.720 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
11.722 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
11.723 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
11.723 * [backup-simplify]: Simplify (- 0) into 0
11.723 * [backup-simplify]: Simplify (+ 0 0) into 0
11.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
11.725 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
11.725 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
11.727 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))))
11.731 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))))
11.731 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n
11.731 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n
11.731 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
11.731 * [taylor]: Taking taylor expansion of +nan.0 in n
11.731 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.731 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
11.731 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
11.731 * [taylor]: Taking taylor expansion of (sqrt 2) in n
11.731 * [taylor]: Taking taylor expansion of 2 in n
11.731 * [backup-simplify]: Simplify 2 into 2
11.731 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
11.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
11.731 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
11.731 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.731 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.731 * [taylor]: Taking taylor expansion of 2 in n
11.731 * [backup-simplify]: Simplify 2 into 2
11.732 * [taylor]: Taking taylor expansion of (* n PI) in n
11.732 * [taylor]: Taking taylor expansion of n in n
11.732 * [backup-simplify]: Simplify 0 into 0
11.732 * [backup-simplify]: Simplify 1 into 1
11.732 * [taylor]: Taking taylor expansion of PI in n
11.732 * [backup-simplify]: Simplify PI into PI
11.732 * [backup-simplify]: Simplify (* 0 PI) into 0
11.732 * [backup-simplify]: Simplify (* 2 0) into 0
11.733 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.734 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.734 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.734 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
11.734 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
11.734 * [taylor]: Taking taylor expansion of 1/2 in n
11.735 * [backup-simplify]: Simplify 1/2 into 1/2
11.735 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
11.735 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
11.735 * [taylor]: Taking taylor expansion of (* n PI) in n
11.735 * [taylor]: Taking taylor expansion of n in n
11.735 * [backup-simplify]: Simplify 0 into 0
11.735 * [backup-simplify]: Simplify 1 into 1
11.735 * [taylor]: Taking taylor expansion of PI in n
11.735 * [backup-simplify]: Simplify PI into PI
11.736 * [backup-simplify]: Simplify (* 0 PI) into 0
11.736 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.737 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
11.737 * [backup-simplify]: Simplify (sqrt 0) into 0
11.738 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
11.738 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
11.738 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
11.738 * [taylor]: Taking taylor expansion of +nan.0 in n
11.738 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.738 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
11.738 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
11.738 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
11.738 * [taylor]: Taking taylor expansion of (* n PI) in n
11.738 * [taylor]: Taking taylor expansion of n in n
11.738 * [backup-simplify]: Simplify 0 into 0
11.738 * [backup-simplify]: Simplify 1 into 1
11.738 * [taylor]: Taking taylor expansion of PI in n
11.738 * [backup-simplify]: Simplify PI into PI
11.739 * [backup-simplify]: Simplify (* 0 PI) into 0
11.739 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.740 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
11.740 * [backup-simplify]: Simplify (sqrt 0) into 0
11.741 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
11.741 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
11.741 * [taylor]: Taking taylor expansion of 1/2 in n
11.741 * [backup-simplify]: Simplify 1/2 into 1/2
11.741 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.743 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.743 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
11.745 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
11.746 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))
11.747 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.747 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
11.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.748 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
11.749 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.750 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
11.752 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
11.754 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
11.756 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
11.768 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
11.771 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
11.772 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
11.778 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
11.782 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
11.797 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
11.817 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
11.839 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
11.843 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
11.850 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
11.857 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
11.867 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
11.871 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
11.874 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
11.899 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
11.900 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (/ (- 1 (/ 1 k)) 2))) into (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k)))
11.900 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
11.900 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in n
11.900 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n
11.900 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
11.900 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
11.900 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
11.900 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
11.900 * [taylor]: Taking taylor expansion of 1/2 in n
11.900 * [backup-simplify]: Simplify 1/2 into 1/2
11.900 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.900 * [taylor]: Taking taylor expansion of 1 in n
11.900 * [backup-simplify]: Simplify 1 into 1
11.900 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.900 * [taylor]: Taking taylor expansion of k in n
11.900 * [backup-simplify]: Simplify k into k
11.900 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.900 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.900 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.900 * [taylor]: Taking taylor expansion of 2 in n
11.900 * [backup-simplify]: Simplify 2 into 2
11.900 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.900 * [taylor]: Taking taylor expansion of PI in n
11.900 * [backup-simplify]: Simplify PI into PI
11.900 * [taylor]: Taking taylor expansion of n in n
11.900 * [backup-simplify]: Simplify 0 into 0
11.900 * [backup-simplify]: Simplify 1 into 1
11.901 * [backup-simplify]: Simplify (/ PI 1) into PI
11.902 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.903 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.903 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.903 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.903 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
11.905 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.906 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.907 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.908 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.909 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.909 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.909 * [taylor]: Taking taylor expansion of k in n
11.909 * [backup-simplify]: Simplify k into k
11.909 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.909 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.909 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k
11.909 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k
11.909 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
11.909 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
11.909 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
11.909 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
11.909 * [taylor]: Taking taylor expansion of 1/2 in k
11.909 * [backup-simplify]: Simplify 1/2 into 1/2
11.909 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
11.909 * [taylor]: Taking taylor expansion of 1 in k
11.909 * [backup-simplify]: Simplify 1 into 1
11.909 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.909 * [taylor]: Taking taylor expansion of k in k
11.909 * [backup-simplify]: Simplify 0 into 0
11.910 * [backup-simplify]: Simplify 1 into 1
11.910 * [backup-simplify]: Simplify (/ 1 1) into 1
11.910 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
11.910 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
11.910 * [taylor]: Taking taylor expansion of 2 in k
11.910 * [backup-simplify]: Simplify 2 into 2
11.910 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.910 * [taylor]: Taking taylor expansion of PI in k
11.910 * [backup-simplify]: Simplify PI into PI
11.910 * [taylor]: Taking taylor expansion of n in k
11.910 * [backup-simplify]: Simplify n into n
11.910 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.910 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
11.911 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
11.911 * [backup-simplify]: Simplify (- 1) into -1
11.911 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.912 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
11.912 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
11.912 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
11.913 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))
11.913 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.913 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.913 * [taylor]: Taking taylor expansion of k in k
11.913 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify 1 into 1
11.913 * [backup-simplify]: Simplify (/ 1 1) into 1
11.914 * [backup-simplify]: Simplify (sqrt 0) into 0
11.915 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.915 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k
11.915 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k
11.916 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
11.916 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
11.916 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
11.916 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
11.916 * [taylor]: Taking taylor expansion of 1/2 in k
11.916 * [backup-simplify]: Simplify 1/2 into 1/2
11.916 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
11.916 * [taylor]: Taking taylor expansion of 1 in k
11.916 * [backup-simplify]: Simplify 1 into 1
11.916 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.916 * [taylor]: Taking taylor expansion of k in k
11.916 * [backup-simplify]: Simplify 0 into 0
11.916 * [backup-simplify]: Simplify 1 into 1
11.916 * [backup-simplify]: Simplify (/ 1 1) into 1
11.916 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
11.916 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
11.916 * [taylor]: Taking taylor expansion of 2 in k
11.916 * [backup-simplify]: Simplify 2 into 2
11.916 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.916 * [taylor]: Taking taylor expansion of PI in k
11.917 * [backup-simplify]: Simplify PI into PI
11.917 * [taylor]: Taking taylor expansion of n in k
11.917 * [backup-simplify]: Simplify n into n
11.917 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.917 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
11.917 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
11.917 * [backup-simplify]: Simplify (- 1) into -1
11.918 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.918 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
11.918 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
11.919 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
11.919 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))
11.919 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.919 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.919 * [taylor]: Taking taylor expansion of k in k
11.919 * [backup-simplify]: Simplify 0 into 0
11.919 * [backup-simplify]: Simplify 1 into 1
11.919 * [backup-simplify]: Simplify (/ 1 1) into 1
11.920 * [backup-simplify]: Simplify (sqrt 0) into 0
11.921 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.922 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 0) into 0
11.922 * [taylor]: Taking taylor expansion of 0 in n
11.922 * [backup-simplify]: Simplify 0 into 0
11.922 * [backup-simplify]: Simplify 0 into 0
11.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0
11.923 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))
11.923 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n
11.923 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
11.923 * [taylor]: Taking taylor expansion of +nan.0 in n
11.924 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.924 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
11.924 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
11.924 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
11.924 * [taylor]: Taking taylor expansion of 1/2 in n
11.924 * [backup-simplify]: Simplify 1/2 into 1/2
11.924 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
11.924 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.924 * [taylor]: Taking taylor expansion of 1 in n
11.924 * [backup-simplify]: Simplify 1 into 1
11.924 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.924 * [taylor]: Taking taylor expansion of k in n
11.924 * [backup-simplify]: Simplify k into k
11.924 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.924 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.924 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.924 * [taylor]: Taking taylor expansion of 2 in n
11.924 * [backup-simplify]: Simplify 2 into 2
11.924 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.924 * [taylor]: Taking taylor expansion of PI in n
11.924 * [backup-simplify]: Simplify PI into PI
11.924 * [taylor]: Taking taylor expansion of n in n
11.924 * [backup-simplify]: Simplify 0 into 0
11.924 * [backup-simplify]: Simplify 1 into 1
11.925 * [backup-simplify]: Simplify (/ PI 1) into PI
11.925 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.926 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.926 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.927 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.928 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.929 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
11.930 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.932 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.933 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.934 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.935 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
11.937 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
11.937 * [backup-simplify]: Simplify 0 into 0
11.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.941 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0
11.943 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))
11.943 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n
11.943 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
11.943 * [taylor]: Taking taylor expansion of +nan.0 in n
11.943 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.943 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
11.943 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
11.943 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
11.943 * [taylor]: Taking taylor expansion of 1/2 in n
11.943 * [backup-simplify]: Simplify 1/2 into 1/2
11.943 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
11.943 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.943 * [taylor]: Taking taylor expansion of 1 in n
11.943 * [backup-simplify]: Simplify 1 into 1
11.943 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.943 * [taylor]: Taking taylor expansion of k in n
11.943 * [backup-simplify]: Simplify k into k
11.943 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.943 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.943 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.943 * [taylor]: Taking taylor expansion of 2 in n
11.944 * [backup-simplify]: Simplify 2 into 2
11.944 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.944 * [taylor]: Taking taylor expansion of PI in n
11.944 * [backup-simplify]: Simplify PI into PI
11.944 * [taylor]: Taking taylor expansion of n in n
11.944 * [backup-simplify]: Simplify 0 into 0
11.944 * [backup-simplify]: Simplify 1 into 1
11.944 * [backup-simplify]: Simplify (/ PI 1) into PI
11.945 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.946 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.946 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.946 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.948 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.949 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
11.950 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.951 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.952 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.954 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.955 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
11.956 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
11.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.958 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.960 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.961 * [backup-simplify]: Simplify (- 0) into 0
11.961 * [backup-simplify]: Simplify (+ 0 0) into 0
11.963 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.964 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
11.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
11.968 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0
11.972 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0
11.973 * [backup-simplify]: Simplify (- 0) into 0
11.973 * [backup-simplify]: Simplify 0 into 0
11.973 * [backup-simplify]: Simplify 0 into 0
11.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0
11.980 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))
11.980 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n
11.980 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
11.980 * [taylor]: Taking taylor expansion of +nan.0 in n
11.980 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.980 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
11.980 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
11.980 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
11.980 * [taylor]: Taking taylor expansion of 1/2 in n
11.980 * [backup-simplify]: Simplify 1/2 into 1/2
11.980 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
11.980 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.980 * [taylor]: Taking taylor expansion of 1 in n
11.981 * [backup-simplify]: Simplify 1 into 1
11.981 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.981 * [taylor]: Taking taylor expansion of k in n
11.981 * [backup-simplify]: Simplify k into k
11.981 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.981 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.981 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.981 * [taylor]: Taking taylor expansion of 2 in n
11.981 * [backup-simplify]: Simplify 2 into 2
11.981 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.981 * [taylor]: Taking taylor expansion of PI in n
11.981 * [backup-simplify]: Simplify PI into PI
11.981 * [taylor]: Taking taylor expansion of n in n
11.981 * [backup-simplify]: Simplify 0 into 0
11.981 * [backup-simplify]: Simplify 1 into 1
11.981 * [backup-simplify]: Simplify (/ PI 1) into PI
11.982 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.983 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.983 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.983 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.984 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.985 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
11.986 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.987 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.991 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.992 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.994 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
11.995 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
11.999 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))))
12.000 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (/ (- 1 (/ 1 (- k))) 2))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))))
12.000 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0
12.000 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n
12.000 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
12.000 * [taylor]: Taking taylor expansion of (/ -1 k) in n
12.000 * [taylor]: Taking taylor expansion of -1 in n
12.000 * [backup-simplify]: Simplify -1 into -1
12.000 * [taylor]: Taking taylor expansion of k in n
12.000 * [backup-simplify]: Simplify k into k
12.000 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
12.000 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
12.000 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
12.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
12.000 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
12.000 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
12.000 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
12.000 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
12.000 * [taylor]: Taking taylor expansion of 1/2 in n
12.000 * [backup-simplify]: Simplify 1/2 into 1/2
12.000 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
12.000 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.000 * [taylor]: Taking taylor expansion of k in n
12.000 * [backup-simplify]: Simplify k into k
12.000 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.000 * [taylor]: Taking taylor expansion of 1 in n
12.000 * [backup-simplify]: Simplify 1 into 1
12.000 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.001 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.001 * [taylor]: Taking taylor expansion of -2 in n
12.001 * [backup-simplify]: Simplify -2 into -2
12.001 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.001 * [taylor]: Taking taylor expansion of PI in n
12.001 * [backup-simplify]: Simplify PI into PI
12.001 * [taylor]: Taking taylor expansion of n in n
12.001 * [backup-simplify]: Simplify 0 into 0
12.001 * [backup-simplify]: Simplify 1 into 1
12.001 * [backup-simplify]: Simplify (/ PI 1) into PI
12.002 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.003 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.003 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
12.003 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
12.004 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.005 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
12.006 * [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)))))
12.007 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
12.007 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
12.007 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.007 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.007 * [taylor]: Taking taylor expansion of -1 in k
12.007 * [backup-simplify]: Simplify -1 into -1
12.007 * [taylor]: Taking taylor expansion of k in k
12.008 * [backup-simplify]: Simplify 0 into 0
12.008 * [backup-simplify]: Simplify 1 into 1
12.008 * [backup-simplify]: Simplify (/ -1 1) into -1
12.008 * [backup-simplify]: Simplify (sqrt 0) into 0
12.010 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.010 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
12.010 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
12.010 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
12.010 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
12.010 * [taylor]: Taking taylor expansion of 1/2 in k
12.010 * [backup-simplify]: Simplify 1/2 into 1/2
12.010 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
12.010 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.010 * [taylor]: Taking taylor expansion of k in k
12.010 * [backup-simplify]: Simplify 0 into 0
12.010 * [backup-simplify]: Simplify 1 into 1
12.010 * [backup-simplify]: Simplify (/ 1 1) into 1
12.010 * [taylor]: Taking taylor expansion of 1 in k
12.010 * [backup-simplify]: Simplify 1 into 1
12.010 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
12.010 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
12.010 * [taylor]: Taking taylor expansion of -2 in k
12.011 * [backup-simplify]: Simplify -2 into -2
12.011 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.011 * [taylor]: Taking taylor expansion of PI in k
12.011 * [backup-simplify]: Simplify PI into PI
12.011 * [taylor]: Taking taylor expansion of n in k
12.011 * [backup-simplify]: Simplify n into n
12.011 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.011 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
12.011 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
12.011 * [backup-simplify]: Simplify (+ 1 0) into 1
12.012 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.012 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
12.012 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
12.012 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
12.012 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
12.012 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.012 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.012 * [taylor]: Taking taylor expansion of -1 in k
12.012 * [backup-simplify]: Simplify -1 into -1
12.012 * [taylor]: Taking taylor expansion of k in k
12.012 * [backup-simplify]: Simplify 0 into 0
12.012 * [backup-simplify]: Simplify 1 into 1
12.013 * [backup-simplify]: Simplify (/ -1 1) into -1
12.013 * [backup-simplify]: Simplify (sqrt 0) into 0
12.015 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.015 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
12.015 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
12.015 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
12.015 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
12.015 * [taylor]: Taking taylor expansion of 1/2 in k
12.015 * [backup-simplify]: Simplify 1/2 into 1/2
12.015 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
12.015 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.015 * [taylor]: Taking taylor expansion of k in k
12.015 * [backup-simplify]: Simplify 0 into 0
12.015 * [backup-simplify]: Simplify 1 into 1
12.015 * [backup-simplify]: Simplify (/ 1 1) into 1
12.015 * [taylor]: Taking taylor expansion of 1 in k
12.015 * [backup-simplify]: Simplify 1 into 1
12.015 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
12.015 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
12.015 * [taylor]: Taking taylor expansion of -2 in k
12.015 * [backup-simplify]: Simplify -2 into -2
12.015 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.015 * [taylor]: Taking taylor expansion of PI in k
12.015 * [backup-simplify]: Simplify PI into PI
12.015 * [taylor]: Taking taylor expansion of n in k
12.016 * [backup-simplify]: Simplify n into n
12.016 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.016 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
12.016 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
12.016 * [backup-simplify]: Simplify (+ 1 0) into 1
12.017 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.017 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
12.017 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
12.017 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
12.017 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
12.017 * [taylor]: Taking taylor expansion of +nan.0 in n
12.017 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.017 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
12.017 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
12.017 * [taylor]: Taking taylor expansion of 1/2 in n
12.017 * [backup-simplify]: Simplify 1/2 into 1/2
12.017 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
12.017 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.017 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.018 * [taylor]: Taking taylor expansion of -2 in n
12.018 * [backup-simplify]: Simplify -2 into -2
12.018 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.018 * [taylor]: Taking taylor expansion of PI in n
12.018 * [backup-simplify]: Simplify PI into PI
12.018 * [taylor]: Taking taylor expansion of n in n
12.018 * [backup-simplify]: Simplify 0 into 0
12.018 * [backup-simplify]: Simplify 1 into 1
12.018 * [backup-simplify]: Simplify (/ PI 1) into PI
12.018 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.019 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.019 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
12.019 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.019 * [taylor]: Taking taylor expansion of k in n
12.019 * [backup-simplify]: Simplify k into k
12.019 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.019 * [taylor]: Taking taylor expansion of 1 in n
12.019 * [backup-simplify]: Simplify 1 into 1
12.020 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.020 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
12.021 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
12.021 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
12.022 * [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)))))
12.023 * [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))))))
12.024 * [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))))))
12.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.026 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.026 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))
12.026 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n
12.026 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
12.026 * [taylor]: Taking taylor expansion of +nan.0 in n
12.027 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.027 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
12.027 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
12.027 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
12.027 * [taylor]: Taking taylor expansion of 1/2 in n
12.027 * [backup-simplify]: Simplify 1/2 into 1/2
12.027 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
12.027 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.027 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.027 * [taylor]: Taking taylor expansion of -2 in n
12.027 * [backup-simplify]: Simplify -2 into -2
12.027 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.027 * [taylor]: Taking taylor expansion of PI in n
12.027 * [backup-simplify]: Simplify PI into PI
12.027 * [taylor]: Taking taylor expansion of n in n
12.027 * [backup-simplify]: Simplify 0 into 0
12.027 * [backup-simplify]: Simplify 1 into 1
12.027 * [backup-simplify]: Simplify (/ PI 1) into PI
12.027 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.028 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.028 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
12.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.028 * [taylor]: Taking taylor expansion of k in n
12.028 * [backup-simplify]: Simplify k into k
12.028 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.028 * [taylor]: Taking taylor expansion of 1 in n
12.028 * [backup-simplify]: Simplify 1 into 1
12.029 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.029 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
12.030 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
12.030 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
12.031 * [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)))))
12.032 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
12.032 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
12.033 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
12.034 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
12.035 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.035 * [backup-simplify]: Simplify (+ 0 0) into 0
12.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.036 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
12.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
12.038 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
12.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
12.040 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.042 * [backup-simplify]: Simplify (- (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0
12.042 * [backup-simplify]: Simplify 0 into 0
12.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.045 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))
12.045 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n
12.045 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
12.045 * [taylor]: Taking taylor expansion of +nan.0 in n
12.045 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.046 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
12.046 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
12.046 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
12.046 * [taylor]: Taking taylor expansion of 1/2 in n
12.046 * [backup-simplify]: Simplify 1/2 into 1/2
12.046 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
12.046 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.046 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.046 * [taylor]: Taking taylor expansion of -2 in n
12.046 * [backup-simplify]: Simplify -2 into -2
12.046 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.046 * [taylor]: Taking taylor expansion of PI in n
12.046 * [backup-simplify]: Simplify PI into PI
12.046 * [taylor]: Taking taylor expansion of n in n
12.046 * [backup-simplify]: Simplify 0 into 0
12.046 * [backup-simplify]: Simplify 1 into 1
12.046 * [backup-simplify]: Simplify (/ PI 1) into PI
12.046 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.047 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.047 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
12.047 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.047 * [taylor]: Taking taylor expansion of k in n
12.047 * [backup-simplify]: Simplify k into k
12.047 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.047 * [taylor]: Taking taylor expansion of 1 in n
12.047 * [backup-simplify]: Simplify 1 into 1
12.048 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.048 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
12.049 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
12.049 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
12.050 * [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)))))
12.051 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
12.052 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
12.054 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
12.055 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
12.059 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))
12.059 * * * * [progress]: [ 4 / 4 ] generating series at (2)
12.059 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
12.059 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
12.059 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
12.059 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
12.059 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
12.059 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
12.059 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
12.059 * [taylor]: Taking taylor expansion of 1/2 in n
12.059 * [backup-simplify]: Simplify 1/2 into 1/2
12.060 * [taylor]: Taking taylor expansion of (- 1 k) in n
12.060 * [taylor]: Taking taylor expansion of 1 in n
12.060 * [backup-simplify]: Simplify 1 into 1
12.060 * [taylor]: Taking taylor expansion of k in n
12.060 * [backup-simplify]: Simplify k into k
12.060 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
12.060 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.060 * [taylor]: Taking taylor expansion of 2 in n
12.060 * [backup-simplify]: Simplify 2 into 2
12.060 * [taylor]: Taking taylor expansion of (* n PI) in n
12.060 * [taylor]: Taking taylor expansion of n in n
12.060 * [backup-simplify]: Simplify 0 into 0
12.060 * [backup-simplify]: Simplify 1 into 1
12.060 * [taylor]: Taking taylor expansion of PI in n
12.060 * [backup-simplify]: Simplify PI into PI
12.060 * [backup-simplify]: Simplify (* 0 PI) into 0
12.061 * [backup-simplify]: Simplify (* 2 0) into 0
12.062 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.064 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
12.064 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.065 * [backup-simplify]: Simplify (- k) into (- k)
12.065 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
12.065 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
12.066 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.067 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
12.068 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
12.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
12.068 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.068 * [taylor]: Taking taylor expansion of k in n
12.068 * [backup-simplify]: Simplify k into k
12.068 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.068 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
12.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
12.068 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
12.068 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
12.069 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
12.069 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
12.069 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
12.069 * [taylor]: Taking taylor expansion of 1/2 in k
12.069 * [backup-simplify]: Simplify 1/2 into 1/2
12.069 * [taylor]: Taking taylor expansion of (- 1 k) in k
12.069 * [taylor]: Taking taylor expansion of 1 in k
12.069 * [backup-simplify]: Simplify 1 into 1
12.069 * [taylor]: Taking taylor expansion of k in k
12.069 * [backup-simplify]: Simplify 0 into 0
12.069 * [backup-simplify]: Simplify 1 into 1
12.069 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
12.069 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
12.069 * [taylor]: Taking taylor expansion of 2 in k
12.069 * [backup-simplify]: Simplify 2 into 2
12.069 * [taylor]: Taking taylor expansion of (* n PI) in k
12.069 * [taylor]: Taking taylor expansion of n in k
12.069 * [backup-simplify]: Simplify n into n
12.069 * [taylor]: Taking taylor expansion of PI in k
12.069 * [backup-simplify]: Simplify PI into PI
12.069 * [backup-simplify]: Simplify (* n PI) into (* n PI)
12.069 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
12.069 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
12.070 * [backup-simplify]: Simplify (- 0) into 0
12.070 * [backup-simplify]: Simplify (+ 1 0) into 1
12.070 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.070 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
12.071 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
12.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.071 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.071 * [taylor]: Taking taylor expansion of k in k
12.071 * [backup-simplify]: Simplify 0 into 0
12.071 * [backup-simplify]: Simplify 1 into 1
12.071 * [backup-simplify]: Simplify (/ 1 1) into 1
12.071 * [backup-simplify]: Simplify (sqrt 0) into 0
12.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.073 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
12.073 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
12.073 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
12.073 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
12.073 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
12.073 * [taylor]: Taking taylor expansion of 1/2 in k
12.073 * [backup-simplify]: Simplify 1/2 into 1/2
12.073 * [taylor]: Taking taylor expansion of (- 1 k) in k
12.073 * [taylor]: Taking taylor expansion of 1 in k
12.073 * [backup-simplify]: Simplify 1 into 1
12.073 * [taylor]: Taking taylor expansion of k in k
12.073 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify 1 into 1
12.073 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
12.073 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
12.073 * [taylor]: Taking taylor expansion of 2 in k
12.073 * [backup-simplify]: Simplify 2 into 2
12.073 * [taylor]: Taking taylor expansion of (* n PI) in k
12.073 * [taylor]: Taking taylor expansion of n in k
12.073 * [backup-simplify]: Simplify n into n
12.073 * [taylor]: Taking taylor expansion of PI in k
12.073 * [backup-simplify]: Simplify PI into PI
12.073 * [backup-simplify]: Simplify (* n PI) into (* n PI)
12.074 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
12.074 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
12.074 * [backup-simplify]: Simplify (- 0) into 0
12.074 * [backup-simplify]: Simplify (+ 1 0) into 1
12.075 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.075 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
12.075 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
12.075 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.075 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.075 * [taylor]: Taking taylor expansion of k in k
12.075 * [backup-simplify]: Simplify 0 into 0
12.075 * [backup-simplify]: Simplify 1 into 1
12.076 * [backup-simplify]: Simplify (/ 1 1) into 1
12.076 * [backup-simplify]: Simplify (sqrt 0) into 0
12.077 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.077 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
12.078 * [taylor]: Taking taylor expansion of 0 in n
12.078 * [backup-simplify]: Simplify 0 into 0
12.078 * [backup-simplify]: Simplify 0 into 0
12.078 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
12.079 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
12.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
12.080 * [backup-simplify]: Simplify (- 1) into -1
12.080 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.081 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
12.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
12.082 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
12.082 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
12.082 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
12.082 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
12.082 * [taylor]: Taking taylor expansion of +nan.0 in n
12.082 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.082 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
12.082 * [taylor]: Taking taylor expansion of (sqrt 2) in n
12.082 * [taylor]: Taking taylor expansion of 2 in n
12.082 * [backup-simplify]: Simplify 2 into 2
12.083 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
12.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
12.083 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
12.084 * [taylor]: Taking taylor expansion of (* n PI) in n
12.084 * [taylor]: Taking taylor expansion of n in n
12.084 * [backup-simplify]: Simplify 0 into 0
12.084 * [backup-simplify]: Simplify 1 into 1
12.084 * [taylor]: Taking taylor expansion of PI in n
12.084 * [backup-simplify]: Simplify PI into PI
12.084 * [backup-simplify]: Simplify (* 0 PI) into 0
12.085 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.086 * [backup-simplify]: Simplify (sqrt 0) into 0
12.087 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
12.088 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
12.088 * [backup-simplify]: Simplify (* +nan.0 0) into 0
12.088 * [backup-simplify]: Simplify (- 0) into 0
12.088 * [backup-simplify]: Simplify 0 into 0
12.088 * [backup-simplify]: Simplify 0 into 0
12.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.092 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.093 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
12.093 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
12.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
12.096 * [backup-simplify]: Simplify (- 0) into 0
12.096 * [backup-simplify]: Simplify (+ 0 0) into 0
12.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
12.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
12.099 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
12.100 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
12.100 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
12.100 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
12.100 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
12.100 * [taylor]: Taking taylor expansion of +nan.0 in n
12.100 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.100 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
12.100 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
12.100 * [taylor]: Taking taylor expansion of (sqrt 2) in n
12.100 * [taylor]: Taking taylor expansion of 2 in n
12.100 * [backup-simplify]: Simplify 2 into 2
12.101 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
12.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
12.102 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
12.102 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.102 * [taylor]: Taking taylor expansion of 2 in n
12.102 * [backup-simplify]: Simplify 2 into 2
12.102 * [taylor]: Taking taylor expansion of (* n PI) in n
12.102 * [taylor]: Taking taylor expansion of n in n
12.102 * [backup-simplify]: Simplify 0 into 0
12.102 * [backup-simplify]: Simplify 1 into 1
12.102 * [taylor]: Taking taylor expansion of PI in n
12.102 * [backup-simplify]: Simplify PI into PI
12.103 * [backup-simplify]: Simplify (* 0 PI) into 0
12.103 * [backup-simplify]: Simplify (* 2 0) into 0
12.105 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.107 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
12.107 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.107 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
12.107 * [taylor]: Taking taylor expansion of (* n PI) in n
12.107 * [taylor]: Taking taylor expansion of n in n
12.107 * [backup-simplify]: Simplify 0 into 0
12.107 * [backup-simplify]: Simplify 1 into 1
12.107 * [taylor]: Taking taylor expansion of PI in n
12.107 * [backup-simplify]: Simplify PI into PI
12.110 * [backup-simplify]: Simplify (* 0 PI) into 0
12.111 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.112 * [backup-simplify]: Simplify (sqrt 0) into 0
12.113 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
12.113 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
12.113 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
12.113 * [taylor]: Taking taylor expansion of +nan.0 in n
12.113 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.113 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
12.113 * [taylor]: Taking taylor expansion of (sqrt 2) in n
12.113 * [taylor]: Taking taylor expansion of 2 in n
12.113 * [backup-simplify]: Simplify 2 into 2
12.113 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
12.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
12.114 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
12.114 * [taylor]: Taking taylor expansion of (* n PI) in n
12.114 * [taylor]: Taking taylor expansion of n in n
12.114 * [backup-simplify]: Simplify 0 into 0
12.114 * [backup-simplify]: Simplify 1 into 1
12.114 * [taylor]: Taking taylor expansion of PI in n
12.114 * [backup-simplify]: Simplify PI into PI
12.114 * [backup-simplify]: Simplify (* 0 PI) into 0
12.115 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.115 * [backup-simplify]: Simplify (sqrt 0) into 0
12.116 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
12.117 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.118 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
12.118 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
12.119 * [backup-simplify]: Simplify (* +nan.0 0) into 0
12.119 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
12.119 * [backup-simplify]: Simplify (* +nan.0 0) into 0
12.120 * [backup-simplify]: Simplify (- 0) into 0
12.120 * [backup-simplify]: Simplify (+ 0 0) into 0
12.120 * [backup-simplify]: Simplify (- 0) into 0
12.120 * [backup-simplify]: Simplify 0 into 0
12.122 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
12.125 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
12.127 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
12.130 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
12.130 * [backup-simplify]: Simplify 0 into 0
12.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.136 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
12.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
12.141 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
12.141 * [backup-simplify]: Simplify (- 0) into 0
12.141 * [backup-simplify]: Simplify (+ 0 0) into 0
12.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
12.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
12.146 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
12.147 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
12.148 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
12.148 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
12.148 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
12.148 * [taylor]: Taking taylor expansion of +nan.0 in n
12.148 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.148 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
12.148 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
12.148 * [taylor]: Taking taylor expansion of (sqrt 2) in n
12.148 * [taylor]: Taking taylor expansion of 2 in n
12.148 * [backup-simplify]: Simplify 2 into 2
12.148 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
12.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
12.149 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
12.149 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.149 * [taylor]: Taking taylor expansion of 2 in n
12.149 * [backup-simplify]: Simplify 2 into 2
12.149 * [taylor]: Taking taylor expansion of (* n PI) in n
12.149 * [taylor]: Taking taylor expansion of n in n
12.149 * [backup-simplify]: Simplify 0 into 0
12.149 * [backup-simplify]: Simplify 1 into 1
12.149 * [taylor]: Taking taylor expansion of PI in n
12.149 * [backup-simplify]: Simplify PI into PI
12.150 * [backup-simplify]: Simplify (* 0 PI) into 0
12.150 * [backup-simplify]: Simplify (* 2 0) into 0
12.152 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.153 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
12.155 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.155 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
12.155 * [taylor]: Taking taylor expansion of (* n PI) in n
12.155 * [taylor]: Taking taylor expansion of n in n
12.155 * [backup-simplify]: Simplify 0 into 0
12.155 * [backup-simplify]: Simplify 1 into 1
12.155 * [taylor]: Taking taylor expansion of PI in n
12.155 * [backup-simplify]: Simplify PI into PI
12.155 * [backup-simplify]: Simplify (* 0 PI) into 0
12.157 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.157 * [backup-simplify]: Simplify (sqrt 0) into 0
12.159 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
12.159 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
12.159 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
12.159 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
12.159 * [taylor]: Taking taylor expansion of +nan.0 in n
12.159 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.159 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
12.159 * [taylor]: Taking taylor expansion of (sqrt 2) in n
12.159 * [taylor]: Taking taylor expansion of 2 in n
12.159 * [backup-simplify]: Simplify 2 into 2
12.160 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
12.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
12.160 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
12.160 * [taylor]: Taking taylor expansion of (* n PI) in n
12.160 * [taylor]: Taking taylor expansion of n in n
12.160 * [backup-simplify]: Simplify 0 into 0
12.160 * [backup-simplify]: Simplify 1 into 1
12.160 * [taylor]: Taking taylor expansion of PI in n
12.160 * [backup-simplify]: Simplify PI into PI
12.161 * [backup-simplify]: Simplify (* 0 PI) into 0
12.162 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.163 * [backup-simplify]: Simplify (sqrt 0) into 0
12.164 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
12.164 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
12.164 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
12.164 * [taylor]: Taking taylor expansion of +nan.0 in n
12.164 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.164 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
12.164 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
12.165 * [taylor]: Taking taylor expansion of (sqrt 2) in n
12.165 * [taylor]: Taking taylor expansion of 2 in n
12.165 * [backup-simplify]: Simplify 2 into 2
12.165 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
12.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
12.166 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
12.166 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
12.166 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.166 * [taylor]: Taking taylor expansion of 2 in n
12.166 * [backup-simplify]: Simplify 2 into 2
12.166 * [taylor]: Taking taylor expansion of (* n PI) in n
12.166 * [taylor]: Taking taylor expansion of n in n
12.166 * [backup-simplify]: Simplify 0 into 0
12.166 * [backup-simplify]: Simplify 1 into 1
12.166 * [taylor]: Taking taylor expansion of PI in n
12.166 * [backup-simplify]: Simplify PI into PI
12.166 * [backup-simplify]: Simplify (* 0 PI) into 0
12.167 * [backup-simplify]: Simplify (* 2 0) into 0
12.168 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.170 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
12.171 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.172 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.172 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
12.172 * [taylor]: Taking taylor expansion of (* n PI) in n
12.172 * [taylor]: Taking taylor expansion of n in n
12.172 * [backup-simplify]: Simplify 0 into 0
12.172 * [backup-simplify]: Simplify 1 into 1
12.173 * [taylor]: Taking taylor expansion of PI in n
12.173 * [backup-simplify]: Simplify PI into PI
12.173 * [backup-simplify]: Simplify (* 0 PI) into 0
12.175 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.175 * [backup-simplify]: Simplify (sqrt 0) into 0
12.176 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
12.178 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.179 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
12.181 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
12.181 * [backup-simplify]: Simplify (* +nan.0 0) into 0
12.182 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
12.182 * [backup-simplify]: Simplify (* +nan.0 0) into 0
12.184 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.185 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.187 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
12.189 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
12.190 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
12.191 * [backup-simplify]: Simplify (* +nan.0 0) into 0
12.191 * [backup-simplify]: Simplify (- 0) into 0
12.192 * [backup-simplify]: Simplify (+ 0 0) into 0
12.192 * [backup-simplify]: Simplify (- 0) into 0
12.192 * [backup-simplify]: Simplify (+ 0 0) into 0
12.193 * [backup-simplify]: Simplify (- 0) into 0
12.193 * [backup-simplify]: Simplify 0 into 0
12.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
12.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
12.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
12.199 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.201 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
12.203 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
12.210 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
12.213 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
12.220 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
12.223 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
12.232 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
12.238 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
12.245 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
12.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
12.248 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
12.249 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
12.252 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
12.257 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
12.259 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
12.261 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
12.276 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
12.276 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (/ (- 1 (/ 1 k)) 2)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
12.276 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
12.276 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
12.276 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
12.277 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
12.277 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
12.277 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
12.277 * [taylor]: Taking taylor expansion of 1/2 in n
12.277 * [backup-simplify]: Simplify 1/2 into 1/2
12.277 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
12.277 * [taylor]: Taking taylor expansion of 1 in n
12.277 * [backup-simplify]: Simplify 1 into 1
12.277 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.277 * [taylor]: Taking taylor expansion of k in n
12.277 * [backup-simplify]: Simplify k into k
12.277 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.277 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
12.277 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.277 * [taylor]: Taking taylor expansion of 2 in n
12.277 * [backup-simplify]: Simplify 2 into 2
12.277 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.277 * [taylor]: Taking taylor expansion of PI in n
12.277 * [backup-simplify]: Simplify PI into PI
12.277 * [taylor]: Taking taylor expansion of n in n
12.277 * [backup-simplify]: Simplify 0 into 0
12.277 * [backup-simplify]: Simplify 1 into 1
12.278 * [backup-simplify]: Simplify (/ PI 1) into PI
12.278 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.279 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.279 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
12.280 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
12.280 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
12.281 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
12.283 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
12.284 * [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)))))
12.284 * [taylor]: Taking taylor expansion of (sqrt k) in n
12.284 * [taylor]: Taking taylor expansion of k in n
12.284 * [backup-simplify]: Simplify k into k
12.284 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
12.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
12.284 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
12.284 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
12.284 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
12.284 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
12.284 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
12.284 * [taylor]: Taking taylor expansion of 1/2 in k
12.284 * [backup-simplify]: Simplify 1/2 into 1/2
12.284 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
12.284 * [taylor]: Taking taylor expansion of 1 in k
12.284 * [backup-simplify]: Simplify 1 into 1
12.285 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.285 * [taylor]: Taking taylor expansion of k in k
12.285 * [backup-simplify]: Simplify 0 into 0
12.285 * [backup-simplify]: Simplify 1 into 1
12.285 * [backup-simplify]: Simplify (/ 1 1) into 1
12.285 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
12.285 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
12.285 * [taylor]: Taking taylor expansion of 2 in k
12.285 * [backup-simplify]: Simplify 2 into 2
12.285 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.285 * [taylor]: Taking taylor expansion of PI in k
12.285 * [backup-simplify]: Simplify PI into PI
12.285 * [taylor]: Taking taylor expansion of n in k
12.285 * [backup-simplify]: Simplify n into n
12.285 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.285 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
12.286 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
12.286 * [backup-simplify]: Simplify (- 1) into -1
12.286 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.287 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
12.287 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
12.287 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
12.287 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.287 * [taylor]: Taking taylor expansion of k in k
12.287 * [backup-simplify]: Simplify 0 into 0
12.287 * [backup-simplify]: Simplify 1 into 1
12.288 * [backup-simplify]: Simplify (sqrt 0) into 0
12.289 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.289 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
12.289 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
12.290 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
12.290 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
12.290 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
12.290 * [taylor]: Taking taylor expansion of 1/2 in k
12.290 * [backup-simplify]: Simplify 1/2 into 1/2
12.290 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
12.290 * [taylor]: Taking taylor expansion of 1 in k
12.290 * [backup-simplify]: Simplify 1 into 1
12.290 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.290 * [taylor]: Taking taylor expansion of k in k
12.290 * [backup-simplify]: Simplify 0 into 0
12.290 * [backup-simplify]: Simplify 1 into 1
12.290 * [backup-simplify]: Simplify (/ 1 1) into 1
12.290 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
12.290 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
12.290 * [taylor]: Taking taylor expansion of 2 in k
12.290 * [backup-simplify]: Simplify 2 into 2
12.290 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.290 * [taylor]: Taking taylor expansion of PI in k
12.290 * [backup-simplify]: Simplify PI into PI
12.290 * [taylor]: Taking taylor expansion of n in k
12.291 * [backup-simplify]: Simplify n into n
12.291 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.291 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
12.291 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
12.291 * [backup-simplify]: Simplify (- 1) into -1
12.292 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.292 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
12.292 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
12.292 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
12.293 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.293 * [taylor]: Taking taylor expansion of k in k
12.293 * [backup-simplify]: Simplify 0 into 0
12.293 * [backup-simplify]: Simplify 1 into 1
12.293 * [backup-simplify]: Simplify (sqrt 0) into 0
12.294 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.295 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
12.295 * [taylor]: Taking taylor expansion of 0 in n
12.295 * [backup-simplify]: Simplify 0 into 0
12.295 * [backup-simplify]: Simplify 0 into 0
12.296 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
12.296 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
12.296 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
12.296 * [taylor]: Taking taylor expansion of +nan.0 in n
12.296 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.296 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
12.296 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
12.296 * [taylor]: Taking taylor expansion of 1/2 in n
12.296 * [backup-simplify]: Simplify 1/2 into 1/2
12.296 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
12.296 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
12.296 * [taylor]: Taking taylor expansion of 1 in n
12.296 * [backup-simplify]: Simplify 1 into 1
12.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.296 * [taylor]: Taking taylor expansion of k in n
12.296 * [backup-simplify]: Simplify k into k
12.296 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.296 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
12.296 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.296 * [taylor]: Taking taylor expansion of 2 in n
12.296 * [backup-simplify]: Simplify 2 into 2
12.296 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.296 * [taylor]: Taking taylor expansion of PI in n
12.296 * [backup-simplify]: Simplify PI into PI
12.296 * [taylor]: Taking taylor expansion of n in n
12.296 * [backup-simplify]: Simplify 0 into 0
12.296 * [backup-simplify]: Simplify 1 into 1
12.297 * [backup-simplify]: Simplify (/ PI 1) into PI
12.297 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.299 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.299 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
12.299 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
12.300 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
12.301 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
12.303 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
12.304 * [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)))))
12.305 * [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))))))
12.306 * [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)))))))
12.308 * [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)))))))
12.308 * [backup-simplify]: Simplify 0 into 0
12.311 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.312 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
12.312 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
12.312 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
12.312 * [taylor]: Taking taylor expansion of +nan.0 in n
12.312 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.312 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
12.312 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
12.312 * [taylor]: Taking taylor expansion of 1/2 in n
12.312 * [backup-simplify]: Simplify 1/2 into 1/2
12.312 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
12.312 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
12.312 * [taylor]: Taking taylor expansion of 1 in n
12.312 * [backup-simplify]: Simplify 1 into 1
12.312 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.312 * [taylor]: Taking taylor expansion of k in n
12.313 * [backup-simplify]: Simplify k into k
12.313 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.313 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
12.313 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.313 * [taylor]: Taking taylor expansion of 2 in n
12.313 * [backup-simplify]: Simplify 2 into 2
12.313 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.313 * [taylor]: Taking taylor expansion of PI in n
12.313 * [backup-simplify]: Simplify PI into PI
12.313 * [taylor]: Taking taylor expansion of n in n
12.313 * [backup-simplify]: Simplify 0 into 0
12.313 * [backup-simplify]: Simplify 1 into 1
12.313 * [backup-simplify]: Simplify (/ PI 1) into PI
12.314 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.315 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.315 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
12.315 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
12.317 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
12.318 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
12.319 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
12.320 * [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)))))
12.321 * [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))))))
12.322 * [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)))))))
12.324 * [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)))))))
12.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.325 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
12.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
12.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.328 * [backup-simplify]: Simplify (- 0) into 0
12.328 * [backup-simplify]: Simplify (+ 0 0) into 0
12.329 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
12.331 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
12.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
12.334 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.335 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
12.335 * [backup-simplify]: Simplify (- 0) into 0
12.335 * [backup-simplify]: Simplify 0 into 0
12.335 * [backup-simplify]: Simplify 0 into 0
12.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.339 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
12.339 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
12.339 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
12.339 * [taylor]: Taking taylor expansion of +nan.0 in n
12.339 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.339 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
12.339 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
12.339 * [taylor]: Taking taylor expansion of 1/2 in n
12.339 * [backup-simplify]: Simplify 1/2 into 1/2
12.339 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
12.339 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
12.339 * [taylor]: Taking taylor expansion of 1 in n
12.339 * [backup-simplify]: Simplify 1 into 1
12.339 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.339 * [taylor]: Taking taylor expansion of k in n
12.339 * [backup-simplify]: Simplify k into k
12.339 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.339 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
12.339 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.339 * [taylor]: Taking taylor expansion of 2 in n
12.339 * [backup-simplify]: Simplify 2 into 2
12.339 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.339 * [taylor]: Taking taylor expansion of PI in n
12.339 * [backup-simplify]: Simplify PI into PI
12.339 * [taylor]: Taking taylor expansion of n in n
12.340 * [backup-simplify]: Simplify 0 into 0
12.340 * [backup-simplify]: Simplify 1 into 1
12.340 * [backup-simplify]: Simplify (/ PI 1) into PI
12.340 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.341 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.341 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
12.341 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
12.342 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
12.342 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
12.343 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
12.344 * [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)))))
12.344 * [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))))))
12.345 * [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)))))))
12.346 * [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)))))))
12.348 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
12.348 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
12.349 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
12.349 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
12.349 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
12.349 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
12.349 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
12.349 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
12.349 * [taylor]: Taking taylor expansion of 1/2 in n
12.349 * [backup-simplify]: Simplify 1/2 into 1/2
12.349 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
12.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.349 * [taylor]: Taking taylor expansion of k in n
12.349 * [backup-simplify]: Simplify k into k
12.349 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.349 * [taylor]: Taking taylor expansion of 1 in n
12.349 * [backup-simplify]: Simplify 1 into 1
12.349 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.349 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.349 * [taylor]: Taking taylor expansion of -2 in n
12.349 * [backup-simplify]: Simplify -2 into -2
12.349 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.349 * [taylor]: Taking taylor expansion of PI in n
12.349 * [backup-simplify]: Simplify PI into PI
12.349 * [taylor]: Taking taylor expansion of n in n
12.349 * [backup-simplify]: Simplify 0 into 0
12.349 * [backup-simplify]: Simplify 1 into 1
12.349 * [backup-simplify]: Simplify (/ PI 1) into PI
12.350 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.350 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.350 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
12.350 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
12.351 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.352 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
12.352 * [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)))))
12.352 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
12.352 * [taylor]: Taking taylor expansion of (/ -1 k) in n
12.352 * [taylor]: Taking taylor expansion of -1 in n
12.352 * [backup-simplify]: Simplify -1 into -1
12.353 * [taylor]: Taking taylor expansion of k in n
12.353 * [backup-simplify]: Simplify k into k
12.353 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
12.353 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
12.353 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
12.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
12.353 * [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)))
12.353 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
12.353 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
12.354 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
12.354 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
12.354 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
12.354 * [taylor]: Taking taylor expansion of 1/2 in k
12.354 * [backup-simplify]: Simplify 1/2 into 1/2
12.354 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
12.354 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.354 * [taylor]: Taking taylor expansion of k in k
12.354 * [backup-simplify]: Simplify 0 into 0
12.354 * [backup-simplify]: Simplify 1 into 1
12.354 * [backup-simplify]: Simplify (/ 1 1) into 1
12.354 * [taylor]: Taking taylor expansion of 1 in k
12.354 * [backup-simplify]: Simplify 1 into 1
12.354 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
12.354 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
12.354 * [taylor]: Taking taylor expansion of -2 in k
12.354 * [backup-simplify]: Simplify -2 into -2
12.354 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.354 * [taylor]: Taking taylor expansion of PI in k
12.354 * [backup-simplify]: Simplify PI into PI
12.354 * [taylor]: Taking taylor expansion of n in k
12.354 * [backup-simplify]: Simplify n into n
12.354 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.354 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
12.354 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
12.354 * [backup-simplify]: Simplify (+ 1 0) into 1
12.355 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.355 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
12.355 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
12.355 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.355 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.355 * [taylor]: Taking taylor expansion of -1 in k
12.355 * [backup-simplify]: Simplify -1 into -1
12.355 * [taylor]: Taking taylor expansion of k in k
12.355 * [backup-simplify]: Simplify 0 into 0
12.355 * [backup-simplify]: Simplify 1 into 1
12.355 * [backup-simplify]: Simplify (/ -1 1) into -1
12.356 * [backup-simplify]: Simplify (sqrt 0) into 0
12.356 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.357 * [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)))))
12.357 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
12.357 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
12.357 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
12.357 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
12.357 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
12.357 * [taylor]: Taking taylor expansion of 1/2 in k
12.357 * [backup-simplify]: Simplify 1/2 into 1/2
12.357 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
12.357 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.357 * [taylor]: Taking taylor expansion of k in k
12.357 * [backup-simplify]: Simplify 0 into 0
12.357 * [backup-simplify]: Simplify 1 into 1
12.359 * [backup-simplify]: Simplify (/ 1 1) into 1
12.359 * [taylor]: Taking taylor expansion of 1 in k
12.359 * [backup-simplify]: Simplify 1 into 1
12.359 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
12.359 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
12.359 * [taylor]: Taking taylor expansion of -2 in k
12.359 * [backup-simplify]: Simplify -2 into -2
12.359 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.359 * [taylor]: Taking taylor expansion of PI in k
12.359 * [backup-simplify]: Simplify PI into PI
12.359 * [taylor]: Taking taylor expansion of n in k
12.359 * [backup-simplify]: Simplify n into n
12.359 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.359 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
12.359 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
12.360 * [backup-simplify]: Simplify (+ 1 0) into 1
12.360 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.360 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
12.360 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
12.360 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.360 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.360 * [taylor]: Taking taylor expansion of -1 in k
12.360 * [backup-simplify]: Simplify -1 into -1
12.360 * [taylor]: Taking taylor expansion of k in k
12.360 * [backup-simplify]: Simplify 0 into 0
12.360 * [backup-simplify]: Simplify 1 into 1
12.360 * [backup-simplify]: Simplify (/ -1 1) into -1
12.361 * [backup-simplify]: Simplify (sqrt 0) into 0
12.361 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.362 * [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)))))
12.362 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
12.362 * [taylor]: Taking taylor expansion of +nan.0 in n
12.362 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.362 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
12.362 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
12.362 * [taylor]: Taking taylor expansion of 1/2 in n
12.362 * [backup-simplify]: Simplify 1/2 into 1/2
12.362 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
12.362 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.362 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.362 * [taylor]: Taking taylor expansion of -2 in n
12.362 * [backup-simplify]: Simplify -2 into -2
12.362 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.362 * [taylor]: Taking taylor expansion of PI in n
12.362 * [backup-simplify]: Simplify PI into PI
12.362 * [taylor]: Taking taylor expansion of n in n
12.362 * [backup-simplify]: Simplify 0 into 0
12.362 * [backup-simplify]: Simplify 1 into 1
12.362 * [backup-simplify]: Simplify (/ PI 1) into PI
12.363 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.363 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.363 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
12.363 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.363 * [taylor]: Taking taylor expansion of k in n
12.363 * [backup-simplify]: Simplify k into k
12.363 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.363 * [taylor]: Taking taylor expansion of 1 in n
12.363 * [backup-simplify]: Simplify 1 into 1
12.364 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.364 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
12.365 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
12.366 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
12.366 * [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)))))
12.367 * [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))))))
12.368 * [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))))))
12.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.370 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.371 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
12.371 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
12.371 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
12.371 * [taylor]: Taking taylor expansion of +nan.0 in n
12.371 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.371 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
12.371 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
12.371 * [taylor]: Taking taylor expansion of 1/2 in n
12.371 * [backup-simplify]: Simplify 1/2 into 1/2
12.371 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
12.371 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.371 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.371 * [taylor]: Taking taylor expansion of -2 in n
12.371 * [backup-simplify]: Simplify -2 into -2
12.371 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.371 * [taylor]: Taking taylor expansion of PI in n
12.371 * [backup-simplify]: Simplify PI into PI
12.371 * [taylor]: Taking taylor expansion of n in n
12.371 * [backup-simplify]: Simplify 0 into 0
12.371 * [backup-simplify]: Simplify 1 into 1
12.371 * [backup-simplify]: Simplify (/ PI 1) into PI
12.372 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.372 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.372 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
12.372 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.372 * [taylor]: Taking taylor expansion of k in n
12.372 * [backup-simplify]: Simplify k into k
12.372 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.372 * [taylor]: Taking taylor expansion of 1 in n
12.372 * [backup-simplify]: Simplify 1 into 1
12.373 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.373 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
12.374 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
12.375 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
12.376 * [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)))))
12.376 * [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))))))
12.377 * [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)))))))
12.378 * [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)))))))
12.379 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.379 * [backup-simplify]: Simplify (+ 0 0) into 0
12.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.380 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
12.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
12.382 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
12.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
12.385 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.386 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
12.386 * [backup-simplify]: Simplify 0 into 0
12.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.393 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
12.394 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
12.394 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
12.394 * [taylor]: Taking taylor expansion of +nan.0 in n
12.394 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.394 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
12.394 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
12.394 * [taylor]: Taking taylor expansion of 1/2 in n
12.394 * [backup-simplify]: Simplify 1/2 into 1/2
12.394 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
12.394 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.394 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.394 * [taylor]: Taking taylor expansion of -2 in n
12.394 * [backup-simplify]: Simplify -2 into -2
12.394 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.394 * [taylor]: Taking taylor expansion of PI in n
12.394 * [backup-simplify]: Simplify PI into PI
12.394 * [taylor]: Taking taylor expansion of n in n
12.394 * [backup-simplify]: Simplify 0 into 0
12.394 * [backup-simplify]: Simplify 1 into 1
12.395 * [backup-simplify]: Simplify (/ PI 1) into PI
12.395 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.396 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.396 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
12.396 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.396 * [taylor]: Taking taylor expansion of k in n
12.396 * [backup-simplify]: Simplify k into k
12.396 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.396 * [taylor]: Taking taylor expansion of 1 in n
12.396 * [backup-simplify]: Simplify 1 into 1
12.398 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.398 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
12.399 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
12.400 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
12.402 * [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)))))
12.403 * [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))))))
12.404 * [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)))))))
12.405 * [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)))))))
12.410 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
12.410 * * * [progress]: simplifying candidates
12.410 * * * * [progress]: [ 1 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2))))))>
12.410 * * * * [progress]: [ 2 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2))))))>
12.410 * * * * [progress]: [ 3 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
12.410 * * * * [progress]: [ 4 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
12.410 * * * * [progress]: [ 5 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (* 1 (/ (- 1 k) 2))))))>
12.410 * * * * [progress]: [ 6 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (* 1 (/ (- 1 k) 2))))))>
12.411 * * * * [progress]: [ 7 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (* 1 (/ (- 1 k) 2))))))>
12.411 * * * * [progress]: [ 8 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))))))>
12.411 * * * * [progress]: [ 9 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))>
12.411 * * * * [progress]: [ 10 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))>
12.411 * * * * [progress]: [ 11 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))))>
12.411 * * * * [progress]: [ 12 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))))>
12.411 * * * * [progress]: [ 13 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))))>
12.411 * * * * [progress]: [ 14 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))))>
12.411 * * * * [progress]: [ 15 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))))>
12.412 * * * * [progress]: [ 16 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))))>
12.412 * * * * [progress]: [ 17 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))>
12.412 * * * * [progress]: [ 18 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))>
12.412 * * * * [progress]: [ 19 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ 1 1)) (/ (- 1 k) 2)))))>
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12.412 * * * * [progress]: [ 26 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))>
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12.413 * * * * [progress]: [ 33 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
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12.413 * * * * [progress]: [ 35 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.413 * * * * [progress]: [ 36 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (cbrt (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.413 * * * * [progress]: [ 37 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
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12.413 * * * * [progress]: [ 40 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
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12.414 * * * * [progress]: [ 47 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* PI (* n 2)))) (/ (- 1 k) 2)))))>
12.414 * * * * [progress]: [ 48 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* PI PI) PI) (* (* (* n n) n) (* (* 2 2) 2)))) (/ (- 1 k) 2)))))>
12.414 * * * * [progress]: [ 49 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* PI PI) PI) (* (* (* n 2) (* n 2)) (* n 2)))) (/ (- 1 k) 2)))))>
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12.414 * * * * [progress]: [ 53 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* PI (* n 2))) (/ (- 1 k) 2)))))>
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12.415 * * * * [progress]: [ 67 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.415 * * * * [progress]: [ 68 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.415 * * * * [progress]: [ 69 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.415 * * * * [progress]: [ 70 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.416 * * * * [progress]: [ 71 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.416 * * * * [progress]: [ 72 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
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12.416 * * * * [progress]: [ 74 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
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12.416 * * * * [progress]: [ 76 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
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12.416 * * * * [progress]: [ 78 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
12.416 * * * * [progress]: [ 79 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.416 * * * * [progress]: [ 80 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.416 * * * * [progress]: [ 81 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
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12.417 * * * * [progress]: [ 96 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
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12.418 * * * * [progress]: [ 98 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
12.418 * * * * [progress]: [ 99 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
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12.418 * * * * [progress]: [ 105 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))))>
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12.418 * * * * [progress]: [ 108 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.418 * * * * [progress]: [ 109 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
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12.418 * * * * [progress]: [ 111 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))))))>
12.418 * * * * [progress]: [ 112 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (cbrt k))))))>
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12.419 * * * * [progress]: [ 114 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt 1) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))))>
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12.419 * * * * [progress]: [ 117 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2))) (pow (* PI (* n 2)) (/ k 2)))))>
12.419 * * * * [progress]: [ 118 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.419 * * * * [progress]: [ 119 / 307 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) -1))>
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12.419 * * * * [progress]: [ 121 / 307 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) 1))>
12.419 * * * * [progress]: [ 122 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2))))))>
12.419 * * * * [progress]: [ 123 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2))))))>
12.419 * * * * [progress]: [ 124 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
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12.419 * * * * [progress]: [ 126 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (log (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.419 * * * * [progress]: [ 127 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.419 * * * * [progress]: [ 128 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2))))))>
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12.419 * * * * [progress]: [ 131 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
12.419 * * * * [progress]: [ 132 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (log (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.419 * * * * [progress]: [ 133 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (log (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.419 * * * * [progress]: [ 134 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2))))))>
12.419 * * * * [progress]: [ 135 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2))))))>
12.419 * * * * [progress]: [ 136 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
12.419 * * * * [progress]: [ 137 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* PI (* n 2))) (/ (- 1 k) 2))))))>
12.419 * * * * [progress]: [ 138 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (log (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 139 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (log (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 140 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 141 / 307 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 142 / 307 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 143 / 307 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 144 / 307 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (cbrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 145 / 307 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 146 / 307 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (sqrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 147 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.420 * * * * [progress]: [ 148 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 149 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 150 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
12.420 * * * * [progress]: [ 151 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 152 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 153 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.420 * * * * [progress]: [ 154 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.420 * * * * [progress]: [ 155 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
12.420 * * * * [progress]: [ 156 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 157 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.420 * * * * [progress]: [ 158 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.420 * * * * [progress]: [ 159 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.420 * * * * [progress]: [ 160 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
12.421 * * * * [progress]: [ 161 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.421 * * * * [progress]: [ 162 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.421 * * * * [progress]: [ 163 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.421 * * * * [progress]: [ 164 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.421 * * * * [progress]: [ 165 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow PI (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
12.421 * * * * [progress]: [ 166 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.421 * * * * [progress]: [ 167 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.421 * * * * [progress]: [ 168 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.421 * * * * [progress]: [ 169 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.421 * * * * [progress]: [ 170 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
12.421 * * * * [progress]: [ 171 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.421 * * * * [progress]: [ 172 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.421 * * * * [progress]: [ 173 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.421 * * * * [progress]: [ 174 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.421 * * * * [progress]: [ 175 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
12.421 * * * * [progress]: [ 176 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.421 * * * * [progress]: [ 177 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.421 * * * * [progress]: [ 178 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.421 * * * * [progress]: [ 179 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.421 * * * * [progress]: [ 180 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.421 * * * * [progress]: [ 181 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.421 * * * * [progress]: [ 182 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2)))) (/ (cbrt 1) (pow (* PI (* n 2)) (/ k 2)))))>
12.421 * * * * [progress]: [ 183 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.422 * * * * [progress]: [ 184 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.422 * * * * [progress]: [ 185 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
12.422 * * * * [progress]: [ 186 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.422 * * * * [progress]: [ 187 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.422 * * * * [progress]: [ 188 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.422 * * * * [progress]: [ 189 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.422 * * * * [progress]: [ 190 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
12.422 * * * * [progress]: [ 191 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.422 * * * * [progress]: [ 192 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.422 * * * * [progress]: [ 193 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.422 * * * * [progress]: [ 194 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.422 * * * * [progress]: [ 195 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
12.422 * * * * [progress]: [ 196 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.422 * * * * [progress]: [ 197 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.422 * * * * [progress]: [ 198 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.422 * * * * [progress]: [ 199 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.422 * * * * [progress]: [ 200 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow PI (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
12.422 * * * * [progress]: [ 201 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.422 * * * * [progress]: [ 202 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.422 * * * * [progress]: [ 203 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.422 * * * * [progress]: [ 204 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.422 * * * * [progress]: [ 205 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
12.422 * * * * [progress]: [ 206 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.423 * * * * [progress]: [ 207 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.423 * * * * [progress]: [ 208 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.423 * * * * [progress]: [ 209 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.423 * * * * [progress]: [ 210 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
12.423 * * * * [progress]: [ 211 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.423 * * * * [progress]: [ 212 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.423 * * * * [progress]: [ 213 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.423 * * * * [progress]: [ 214 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.423 * * * * [progress]: [ 215 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.423 * * * * [progress]: [ 216 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.423 * * * * [progress]: [ 217 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2)))) (/ (sqrt 1) (pow (* PI (* n 2)) (/ k 2)))))>
12.423 * * * * [progress]: [ 218 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.423 * * * * [progress]: [ 219 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.423 * * * * [progress]: [ 220 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
12.423 * * * * [progress]: [ 221 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.423 * * * * [progress]: [ 222 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.423 * * * * [progress]: [ 223 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ 1 (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.423 * * * * [progress]: [ 224 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.423 * * * * [progress]: [ 225 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
12.423 * * * * [progress]: [ 226 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.423 * * * * [progress]: [ 227 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.423 * * * * [progress]: [ 228 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ 1 (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.423 * * * * [progress]: [ 229 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.424 * * * * [progress]: [ 230 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
12.424 * * * * [progress]: [ 231 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.424 * * * * [progress]: [ 232 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.424 * * * * [progress]: [ 233 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.424 * * * * [progress]: [ 234 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.424 * * * * [progress]: [ 235 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow PI (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
12.424 * * * * [progress]: [ 236 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.424 * * * * [progress]: [ 237 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.424 * * * * [progress]: [ 238 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.424 * * * * [progress]: [ 239 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.424 * * * * [progress]: [ 240 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))>
12.424 * * * * [progress]: [ 241 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.424 * * * * [progress]: [ 242 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.424 * * * * [progress]: [ 243 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.424 * * * * [progress]: [ 244 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.424 * * * * [progress]: [ 245 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow PI (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))>
12.424 * * * * [progress]: [ 246 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.424 * * * * [progress]: [ 247 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.424 * * * * [progress]: [ 248 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.424 * * * * [progress]: [ 249 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))))>
12.424 * * * * [progress]: [ 250 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.424 * * * * [progress]: [ 251 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.424 * * * * [progress]: [ 252 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2)))) (/ 1 (pow (* PI (* n 2)) (/ k 2)))))>
12.424 * * * * [progress]: [ 253 / 307 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.425 * * * * [progress]: [ 254 / 307 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.425 * * * * [progress]: [ 255 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1)))>
12.425 * * * * [progress]: [ 256 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.425 * * * * [progress]: [ 257 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.425 * * * * [progress]: [ 258 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))>
12.425 * * * * [progress]: [ 259 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.425 * * * * [progress]: [ 260 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.425 * * * * [progress]: [ 261 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
12.425 * * * * [progress]: [ 262 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))>
12.425 * * * * [progress]: [ 263 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2)))))>
12.425 * * * * [progress]: [ 264 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.425 * * * * [progress]: [ 265 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.425 * * * * [progress]: [ 266 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
12.425 * * * * [progress]: [ 267 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))>
12.425 * * * * [progress]: [ 268 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))>
12.425 * * * * [progress]: [ 269 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.425 * * * * [progress]: [ 270 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.425 * * * * [progress]: [ 271 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
12.425 * * * * [progress]: [ 272 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))>
12.425 * * * * [progress]: [ 273 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow PI (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))>
12.425 * * * * [progress]: [ 274 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.425 * * * * [progress]: [ 275 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.425 * * * * [progress]: [ 276 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
12.426 * * * * [progress]: [ 277 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))>
12.426 * * * * [progress]: [ 278 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))>
12.426 * * * * [progress]: [ 279 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.426 * * * * [progress]: [ 280 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.426 * * * * [progress]: [ 281 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
12.426 * * * * [progress]: [ 282 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))>
12.426 * * * * [progress]: [ 283 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))>
12.426 * * * * [progress]: [ 284 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.426 * * * * [progress]: [ 285 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))>
12.426 * * * * [progress]: [ 286 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
12.426 * * * * [progress]: [ 287 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))>
12.426 * * * * [progress]: [ 288 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
12.426 * * * * [progress]: [ 289 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (/ (- 1 k) 2)))))>
12.426 * * * * [progress]: [ 290 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2)))) (pow (* PI (* n 2)) (/ k 2))))>
12.426 * * * * [progress]: [ 291 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt 1))))>
12.426 * * * * [progress]: [ 292 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt 1) (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt 1))))>
12.426 * * * * [progress]: [ 293 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1)))>
12.426 * * * * [progress]: [ 294 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))>
12.427 * * * * [progress]: [ 295 / 307 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))))>
12.427 * * * * [progress]: [ 296 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))))))>
12.427 * * * * [progress]: [ 297 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
12.427 * * * * [progress]: [ 298 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
12.427 * * * * [progress]: [ 299 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
12.427 * * * * [progress]: [ 300 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
12.427 * * * * [progress]: [ 301 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
12.427 * * * * [progress]: [ 302 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
12.427 * * * * [progress]: [ 303 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))))))>
12.427 * * * * [progress]: [ 304 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))))>
12.427 * * * * [progress]: [ 305 / 307 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
12.427 * * * * [progress]: [ 306 / 307 ] 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)))))))))>
12.427 * * * * [progress]: [ 307 / 307 ] 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)))))))))))))>
12.431 * [simplify]: Simplifying:
  (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2))
  (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2))
  (* (log (* PI (* n 2))) (/ (- 1 k) 2))
  (* (log (* PI (* n 2))) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* PI (* n 2)) (/ 1 2))
  (pow (* PI (* n 2)) (/ k 2))
  (pow (* PI (* n 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* PI (* n 2)) (sqrt (/ (- 1 k) 2)))
  (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
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  (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) 1))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ (sqrt 1) (/ (sqrt 1) (pow PI (/ (- 1 k) 2))))
  (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))
  (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt 1) (/ (sqrt 1) 1))
  (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt 1) (/ (sqrt 1) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) 1))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ (sqrt 1) (/ 1 (pow PI (/ (- 1 k) 2))))
  (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))
  (/ (sqrt 1) (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt 1) (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ (sqrt 1) (/ 1 1))
  (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt 1) (/ 1 (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (/ 1 (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (sqrt 1) (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2))))
  (/ (sqrt 1) (pow (* PI (* n 2)) (/ k 2)))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt 1) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt 1) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt 1) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt 1) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ 1 (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))
  (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ 1 1))
  (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ 1 (/ 1 (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 1)
  (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ 1 (sqrt k))
  (/ 1 (/ 1 (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2))))
  (/ 1 (pow (* PI (* n 2)) (/ k 2)))
  (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))
  (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1)
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt 1) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt 1) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (sqrt 1) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt 1) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 (/ 1 (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))))
  (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (/ 1 (/ 1 1))
  (/ 1 (/ 1 (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2))))
  (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt 1))
  (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt 1))
  (/ (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1)
  (/ 1 (sqrt k))
  (real->posit16 (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
  (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))))
  (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))
  (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
12.438 * * [simplify]: iteration 1: (530 enodes)
13.013 * * [simplify]: Extracting #0: cost 163 inf + 0
13.014 * * [simplify]: Extracting #1: cost 562 inf + 2
13.017 * * [simplify]: Extracting #2: cost 643 inf + 5036
13.023 * * [simplify]: Extracting #3: cost 538 inf + 51978
13.044 * * [simplify]: Extracting #4: cost 372 inf + 147140
13.078 * * [simplify]: Extracting #5: cost 288 inf + 211880
13.121 * * [simplify]: Extracting #6: cost 234 inf + 245810
13.194 * * [simplify]: Extracting #7: cost 188 inf + 271120
13.272 * * [simplify]: Extracting #8: cost 128 inf + 297960
13.362 * * [simplify]: Extracting #9: cost 60 inf + 331037
13.449 * * [simplify]: Extracting #10: cost 25 inf + 353711
13.531 * * [simplify]: Extracting #11: cost 12 inf + 364920
13.601 * * [simplify]: Extracting #12: cost 2 inf + 374918
13.670 * * [simplify]: Extracting #13: cost 0 inf + 377260
13.736 * [simplify]: Simplified to:
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (pow (* (* PI n) 2) 1/2)
  (pow (* (* PI n) 2) (/ k 2))
  (pow (* (* PI n) 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* PI n) 2) (sqrt (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI n) 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI n) 2) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* PI n) 2) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI n) 2) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI n) 2) (sqrt (- 1 k)))
  (pow (* (* PI n) 2) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI n) 2) (/ 1 (sqrt 2)))
  (* (* PI n) 2)
  (pow (* (* PI n) 2) (/ (/ (+ 1 (sqrt k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* PI n) 2) (+ 1 (sqrt k)))
  (pow (* (* PI n) 2) (/ (/ (+ 1 (sqrt k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* PI n) 2) (+ 1 (sqrt k)))
  (pow (* (* PI n) 2) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI n) 2) (/ 1 (sqrt 2)))
  (* (* PI n) 2)
  (* (* PI n) 2)
  (pow (* (* PI n) 2) (- 1 k))
  (pow PI (/ (- 1 k) 2))
  (pow (* 2 n) (/ (- 1 k) 2))
  (* (/ (- 1 k) 2) (log (* (* PI n) 2)))
  (exp (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (real->posit16 (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (* PI n) 2)
  (* (* PI n) 2)
  (log (* (* PI n) 2))
  (log (* (* PI n) 2))
  (log (* (* PI n) 2))
  (exp (* (* PI n) 2))
  (* (* (* (* PI PI) PI) (* n (* n n))) (* 4 2))
  (* (* (* PI PI) PI) (* (* (* 2 n) (* 2 n)) (* 2 n)))
  (* (cbrt (* (* PI n) 2)) (cbrt (* (* PI n) 2)))
  (cbrt (* (* PI n) 2))
  (* (* (* PI n) 2) (* (* (* PI n) 2) (* (* PI n) 2)))
  (sqrt (* (* PI n) 2))
  (sqrt (* (* PI n) 2))
  (* PI n)
  (* (* 2 n) (cbrt PI))
  (* (* 2 n) (sqrt PI))
  (* (* PI n) 2)
  (real->posit16 (* (* PI n) 2))
  (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2))))
  (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2))))
  (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2))))
  (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2))))
  (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2))))
  (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* PI n) 2))))
  (exp (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ k (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (* (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (- (sqrt k))
  (- (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (cbrt (sqrt k)) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k))))
  (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (cbrt (sqrt k)) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ (fabs (cbrt k)) (pow PI (/ (- 1 k) 2)))
  (/ (sqrt (cbrt k)) (pow (* 2 n) (/ (- 1 k) 2)))
  (/ (fabs (cbrt k)) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ (sqrt (cbrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
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  (pow PI (/ (- 1 k) 2))
  (* (/ 1 (sqrt k)) (pow (* 2 n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 4))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ 1 (sqrt k))
  (pow (* (* PI n) 2) (/ (- 1 k) 2))
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) 1/2))
  (/ 1 (pow (* (* PI n) 2) (/ k 2)))
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (/ 1 (/ (cbrt (sqrt k)) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))))
  (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (/ 1 (/ (fabs (cbrt k)) (pow PI (/ (- 1 k) 2))))
  (/ 1 (/ (fabs (cbrt k)) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (fabs (cbrt k)))
  (* (/ 1 (fabs (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (* (/ 1 (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (pow PI (/ (- 1 k) 2))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  1
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  (* (/ 1 (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 4)))
  (pow PI (/ (- 1 k) 2))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  1
  (pow (* (* PI n) 2) (/ (- 1 k) 4))
  1
  (/ 1 (sqrt k))
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) 1/2))
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (/ 1 (sqrt k))
  (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (- (+ (+ (* (* 1/4 (log (* 2 PI))) (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) (* k k)))) (* (* (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) (log n))) (* k k)) 1/8)) (+ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (* 1/8 (* (log (* 2 PI)) (log (* 2 PI)))) (* (* k k) (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))))) (* 1/2 (+ (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k)) (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) k))))
  (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))
  (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* (* PI n) 2)
  (* (* PI n) 2)
  (* (* PI n) 2)
  (- (- (/ (* +nan.0 (* (* (sqrt 2) (* k k)) (* (log (* 2 PI)) (* (sqrt 1/2) (sqrt 1/2))))) PI) (- (/ (* +nan.0 (* (sqrt 1/2) (* k k))) PI) (- (/ (* +nan.0 (* n (* k (sqrt 1/2)))) (* PI PI)) (- (* (/ (* (log n) (* (* (* (sqrt 1/2) (sqrt 1/2)) (* k k)) (sqrt 2))) PI) +nan.0) (/ (* +nan.0 (* k (sqrt 1/2))) PI))))))
  (- (- (/ (* +nan.0 1) (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) (- (/ (* +nan.0 1) (* (* k k) (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))))) (/ (* +nan.0 1) (* (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) k)))))
  (- (- (* (/ (exp (- (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) k) +nan.0) (- (/ (* +nan.0 1) (* (* k k) (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (* (exp (- (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) +nan.0))))
  (- (- (* (* (* (* PI n) k) (sqrt 2)) +nan.0) (- (* (* +nan.0 (sqrt 2)) (* PI n)) (- (* +nan.0 (* (log (* 2 PI)) (* (* (* PI n) k) (sqrt 2)))) (- (* (* +nan.0 (sqrt 2)) (* (* PI n) (* (log n) k))) (* (* +nan.0 (sqrt 2)) (* (* PI PI) (* n n))))))))
  (- (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) k) +nan.0) (- (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) (* k k)) (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) (* (* k k) k)))))
  (- (- (* (/ (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))))) (* k k)) +nan.0) (* (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))) +nan.0))))
13.766 * * * [progress]: adding candidates to table
17.461 * * [progress]: iteration 4 / 4
17.461 * * * [progress]: picking best candidate
17.493 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
17.493 * * * [progress]: localizing error
17.538 * * * [progress]: generating rewritten candidates
17.538 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
17.565 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
17.570 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
17.575 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
17.629 * * * [progress]: generating series expansions
17.629 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
17.629 * [backup-simplify]: Simplify (pow (* (* PI n) 2) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
17.629 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
17.629 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
17.629 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
17.629 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
17.629 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
17.629 * [taylor]: Taking taylor expansion of 1/2 in k
17.629 * [backup-simplify]: Simplify 1/2 into 1/2
17.629 * [taylor]: Taking taylor expansion of (- 1 k) in k
17.629 * [taylor]: Taking taylor expansion of 1 in k
17.629 * [backup-simplify]: Simplify 1 into 1
17.629 * [taylor]: Taking taylor expansion of k in k
17.629 * [backup-simplify]: Simplify 0 into 0
17.629 * [backup-simplify]: Simplify 1 into 1
17.629 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
17.629 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
17.629 * [taylor]: Taking taylor expansion of 2 in k
17.629 * [backup-simplify]: Simplify 2 into 2
17.629 * [taylor]: Taking taylor expansion of (* n PI) in k
17.630 * [taylor]: Taking taylor expansion of n in k
17.630 * [backup-simplify]: Simplify n into n
17.630 * [taylor]: Taking taylor expansion of PI in k
17.630 * [backup-simplify]: Simplify PI into PI
17.630 * [backup-simplify]: Simplify (* n PI) into (* n PI)
17.630 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
17.630 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
17.630 * [backup-simplify]: Simplify (- 0) into 0
17.631 * [backup-simplify]: Simplify (+ 1 0) into 1
17.631 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.631 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
17.631 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
17.631 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
17.631 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
17.631 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
17.631 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
17.631 * [taylor]: Taking taylor expansion of 1/2 in n
17.631 * [backup-simplify]: Simplify 1/2 into 1/2
17.631 * [taylor]: Taking taylor expansion of (- 1 k) in n
17.631 * [taylor]: Taking taylor expansion of 1 in n
17.631 * [backup-simplify]: Simplify 1 into 1
17.631 * [taylor]: Taking taylor expansion of k in n
17.631 * [backup-simplify]: Simplify k into k
17.631 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.631 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.631 * [taylor]: Taking taylor expansion of 2 in n
17.631 * [backup-simplify]: Simplify 2 into 2
17.631 * [taylor]: Taking taylor expansion of (* n PI) in n
17.631 * [taylor]: Taking taylor expansion of n in n
17.631 * [backup-simplify]: Simplify 0 into 0
17.631 * [backup-simplify]: Simplify 1 into 1
17.631 * [taylor]: Taking taylor expansion of PI in n
17.631 * [backup-simplify]: Simplify PI into PI
17.632 * [backup-simplify]: Simplify (* 0 PI) into 0
17.632 * [backup-simplify]: Simplify (* 2 0) into 0
17.633 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.634 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.634 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.634 * [backup-simplify]: Simplify (- k) into (- k)
17.634 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
17.634 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
17.635 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.636 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
17.637 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
17.637 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
17.637 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
17.637 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
17.637 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
17.637 * [taylor]: Taking taylor expansion of 1/2 in n
17.637 * [backup-simplify]: Simplify 1/2 into 1/2
17.637 * [taylor]: Taking taylor expansion of (- 1 k) in n
17.637 * [taylor]: Taking taylor expansion of 1 in n
17.637 * [backup-simplify]: Simplify 1 into 1
17.637 * [taylor]: Taking taylor expansion of k in n
17.637 * [backup-simplify]: Simplify k into k
17.637 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.637 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.637 * [taylor]: Taking taylor expansion of 2 in n
17.637 * [backup-simplify]: Simplify 2 into 2
17.637 * [taylor]: Taking taylor expansion of (* n PI) in n
17.637 * [taylor]: Taking taylor expansion of n in n
17.637 * [backup-simplify]: Simplify 0 into 0
17.637 * [backup-simplify]: Simplify 1 into 1
17.637 * [taylor]: Taking taylor expansion of PI in n
17.637 * [backup-simplify]: Simplify PI into PI
17.637 * [backup-simplify]: Simplify (* 0 PI) into 0
17.637 * [backup-simplify]: Simplify (* 2 0) into 0
17.638 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.639 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.640 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.640 * [backup-simplify]: Simplify (- k) into (- k)
17.640 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
17.640 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
17.641 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.642 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
17.642 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
17.642 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
17.642 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
17.642 * [taylor]: Taking taylor expansion of 1/2 in k
17.642 * [backup-simplify]: Simplify 1/2 into 1/2
17.642 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
17.642 * [taylor]: Taking taylor expansion of (- 1 k) in k
17.642 * [taylor]: Taking taylor expansion of 1 in k
17.642 * [backup-simplify]: Simplify 1 into 1
17.642 * [taylor]: Taking taylor expansion of k in k
17.643 * [backup-simplify]: Simplify 0 into 0
17.643 * [backup-simplify]: Simplify 1 into 1
17.643 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
17.643 * [taylor]: Taking taylor expansion of (log n) in k
17.643 * [taylor]: Taking taylor expansion of n in k
17.643 * [backup-simplify]: Simplify n into n
17.643 * [backup-simplify]: Simplify (log n) into (log n)
17.643 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
17.643 * [taylor]: Taking taylor expansion of (* 2 PI) in k
17.643 * [taylor]: Taking taylor expansion of 2 in k
17.643 * [backup-simplify]: Simplify 2 into 2
17.643 * [taylor]: Taking taylor expansion of PI in k
17.643 * [backup-simplify]: Simplify PI into PI
17.643 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.644 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.644 * [backup-simplify]: Simplify (- 0) into 0
17.644 * [backup-simplify]: Simplify (+ 1 0) into 1
17.645 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.645 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
17.646 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
17.647 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
17.647 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
17.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.648 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
17.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.649 * [backup-simplify]: Simplify (- 0) into 0
17.650 * [backup-simplify]: Simplify (+ 0 0) into 0
17.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
17.651 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.652 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
17.653 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.653 * [taylor]: Taking taylor expansion of 0 in k
17.653 * [backup-simplify]: Simplify 0 into 0
17.653 * [backup-simplify]: Simplify 0 into 0
17.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
17.654 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.655 * [backup-simplify]: Simplify (+ 0 0) into 0
17.655 * [backup-simplify]: Simplify (- 1) into -1
17.655 * [backup-simplify]: Simplify (+ 0 -1) into -1
17.656 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
17.658 * [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)))))
17.660 * [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)))))))
17.663 * [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)))))))
17.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
17.665 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
17.669 * [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
17.669 * [backup-simplify]: Simplify (- 0) into 0
17.670 * [backup-simplify]: Simplify (+ 0 0) into 0
17.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
17.672 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.673 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
17.675 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.676 * [taylor]: Taking taylor expansion of 0 in k
17.676 * [backup-simplify]: Simplify 0 into 0
17.676 * [backup-simplify]: Simplify 0 into 0
17.676 * [backup-simplify]: Simplify 0 into 0
17.677 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
17.678 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.682 * [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
17.682 * [backup-simplify]: Simplify (+ 0 0) into 0
17.682 * [backup-simplify]: Simplify (- 0) into 0
17.683 * [backup-simplify]: Simplify (+ 0 0) into 0
17.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
17.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
17.688 * [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)))))
17.690 * [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)))))
17.696 * [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)))))
17.696 * [backup-simplify]: Simplify (pow (* (* PI (/ 1 n)) 2) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
17.696 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
17.696 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
17.696 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
17.696 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
17.696 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
17.696 * [taylor]: Taking taylor expansion of 1/2 in k
17.696 * [backup-simplify]: Simplify 1/2 into 1/2
17.696 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
17.696 * [taylor]: Taking taylor expansion of 1 in k
17.696 * [backup-simplify]: Simplify 1 into 1
17.696 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.696 * [taylor]: Taking taylor expansion of k in k
17.696 * [backup-simplify]: Simplify 0 into 0
17.696 * [backup-simplify]: Simplify 1 into 1
17.696 * [backup-simplify]: Simplify (/ 1 1) into 1
17.696 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
17.696 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
17.696 * [taylor]: Taking taylor expansion of 2 in k
17.696 * [backup-simplify]: Simplify 2 into 2
17.696 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.696 * [taylor]: Taking taylor expansion of PI in k
17.696 * [backup-simplify]: Simplify PI into PI
17.697 * [taylor]: Taking taylor expansion of n in k
17.697 * [backup-simplify]: Simplify n into n
17.697 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.697 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
17.697 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
17.697 * [backup-simplify]: Simplify (- 1) into -1
17.697 * [backup-simplify]: Simplify (+ 0 -1) into -1
17.697 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
17.698 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
17.698 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
17.698 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
17.698 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
17.698 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
17.698 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
17.698 * [taylor]: Taking taylor expansion of 1/2 in n
17.698 * [backup-simplify]: Simplify 1/2 into 1/2
17.698 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
17.698 * [taylor]: Taking taylor expansion of 1 in n
17.698 * [backup-simplify]: Simplify 1 into 1
17.698 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.698 * [taylor]: Taking taylor expansion of k in n
17.698 * [backup-simplify]: Simplify k into k
17.698 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.698 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
17.698 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.698 * [taylor]: Taking taylor expansion of 2 in n
17.698 * [backup-simplify]: Simplify 2 into 2
17.698 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.698 * [taylor]: Taking taylor expansion of PI in n
17.698 * [backup-simplify]: Simplify PI into PI
17.698 * [taylor]: Taking taylor expansion of n in n
17.698 * [backup-simplify]: Simplify 0 into 0
17.698 * [backup-simplify]: Simplify 1 into 1
17.698 * [backup-simplify]: Simplify (/ PI 1) into PI
17.699 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.699 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.699 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
17.699 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
17.699 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
17.700 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.701 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
17.702 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
17.702 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
17.702 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
17.702 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
17.702 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
17.702 * [taylor]: Taking taylor expansion of 1/2 in n
17.702 * [backup-simplify]: Simplify 1/2 into 1/2
17.702 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
17.702 * [taylor]: Taking taylor expansion of 1 in n
17.702 * [backup-simplify]: Simplify 1 into 1
17.702 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.702 * [taylor]: Taking taylor expansion of k in n
17.702 * [backup-simplify]: Simplify k into k
17.702 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.702 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
17.702 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.702 * [taylor]: Taking taylor expansion of 2 in n
17.702 * [backup-simplify]: Simplify 2 into 2
17.702 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.702 * [taylor]: Taking taylor expansion of PI in n
17.702 * [backup-simplify]: Simplify PI into PI
17.702 * [taylor]: Taking taylor expansion of n in n
17.702 * [backup-simplify]: Simplify 0 into 0
17.702 * [backup-simplify]: Simplify 1 into 1
17.702 * [backup-simplify]: Simplify (/ PI 1) into PI
17.703 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.703 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.703 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
17.703 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
17.703 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
17.704 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.705 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
17.705 * [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)))))
17.706 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
17.706 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
17.706 * [taylor]: Taking taylor expansion of 1/2 in k
17.706 * [backup-simplify]: Simplify 1/2 into 1/2
17.706 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
17.706 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
17.706 * [taylor]: Taking taylor expansion of 1 in k
17.706 * [backup-simplify]: Simplify 1 into 1
17.706 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.706 * [taylor]: Taking taylor expansion of k in k
17.706 * [backup-simplify]: Simplify 0 into 0
17.706 * [backup-simplify]: Simplify 1 into 1
17.706 * [backup-simplify]: Simplify (/ 1 1) into 1
17.706 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
17.706 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
17.706 * [taylor]: Taking taylor expansion of (* 2 PI) in k
17.706 * [taylor]: Taking taylor expansion of 2 in k
17.706 * [backup-simplify]: Simplify 2 into 2
17.706 * [taylor]: Taking taylor expansion of PI in k
17.706 * [backup-simplify]: Simplify PI into PI
17.706 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.707 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.707 * [taylor]: Taking taylor expansion of (log n) in k
17.707 * [taylor]: Taking taylor expansion of n in k
17.707 * [backup-simplify]: Simplify n into n
17.707 * [backup-simplify]: Simplify (log n) into (log n)
17.707 * [backup-simplify]: Simplify (- 1) into -1
17.708 * [backup-simplify]: Simplify (+ 0 -1) into -1
17.708 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.708 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
17.709 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
17.714 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
17.715 * [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)))))
17.717 * [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)))))
17.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.718 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.721 * [backup-simplify]: Simplify (- 0) into 0
17.721 * [backup-simplify]: Simplify (+ 0 0) into 0
17.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
17.723 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.724 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
17.726 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.726 * [taylor]: Taking taylor expansion of 0 in k
17.726 * [backup-simplify]: Simplify 0 into 0
17.726 * [backup-simplify]: Simplify 0 into 0
17.726 * [backup-simplify]: Simplify 0 into 0
17.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.729 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.732 * [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
17.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.733 * [backup-simplify]: Simplify (- 0) into 0
17.733 * [backup-simplify]: Simplify (+ 0 0) into 0
17.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
17.736 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.737 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
17.739 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.739 * [taylor]: Taking taylor expansion of 0 in k
17.739 * [backup-simplify]: Simplify 0 into 0
17.740 * [backup-simplify]: Simplify 0 into 0
17.740 * [backup-simplify]: Simplify 0 into 0
17.740 * [backup-simplify]: Simplify 0 into 0
17.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.748 * [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
17.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.749 * [backup-simplify]: Simplify (- 0) into 0
17.749 * [backup-simplify]: Simplify (+ 0 0) into 0
17.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
17.752 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.754 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
17.756 * [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
17.756 * [taylor]: Taking taylor expansion of 0 in k
17.756 * [backup-simplify]: Simplify 0 into 0
17.757 * [backup-simplify]: Simplify 0 into 0
17.758 * [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))))))
17.758 * [backup-simplify]: Simplify (pow (* (* PI (/ 1 (- n))) 2) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
17.758 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
17.758 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
17.758 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
17.758 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
17.758 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
17.758 * [taylor]: Taking taylor expansion of 1/2 in k
17.758 * [backup-simplify]: Simplify 1/2 into 1/2
17.758 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
17.758 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.758 * [taylor]: Taking taylor expansion of k in k
17.758 * [backup-simplify]: Simplify 0 into 0
17.758 * [backup-simplify]: Simplify 1 into 1
17.759 * [backup-simplify]: Simplify (/ 1 1) into 1
17.759 * [taylor]: Taking taylor expansion of 1 in k
17.759 * [backup-simplify]: Simplify 1 into 1
17.759 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
17.759 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
17.759 * [taylor]: Taking taylor expansion of -2 in k
17.759 * [backup-simplify]: Simplify -2 into -2
17.759 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.759 * [taylor]: Taking taylor expansion of PI in k
17.759 * [backup-simplify]: Simplify PI into PI
17.759 * [taylor]: Taking taylor expansion of n in k
17.759 * [backup-simplify]: Simplify n into n
17.759 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.759 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
17.759 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
17.760 * [backup-simplify]: Simplify (+ 1 0) into 1
17.760 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.760 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
17.760 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
17.760 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
17.760 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
17.760 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
17.760 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
17.761 * [taylor]: Taking taylor expansion of 1/2 in n
17.761 * [backup-simplify]: Simplify 1/2 into 1/2
17.761 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
17.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.761 * [taylor]: Taking taylor expansion of k in n
17.761 * [backup-simplify]: Simplify k into k
17.761 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.761 * [taylor]: Taking taylor expansion of 1 in n
17.761 * [backup-simplify]: Simplify 1 into 1
17.761 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
17.761 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.761 * [taylor]: Taking taylor expansion of -2 in n
17.761 * [backup-simplify]: Simplify -2 into -2
17.761 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.761 * [taylor]: Taking taylor expansion of PI in n
17.761 * [backup-simplify]: Simplify PI into PI
17.761 * [taylor]: Taking taylor expansion of n in n
17.761 * [backup-simplify]: Simplify 0 into 0
17.761 * [backup-simplify]: Simplify 1 into 1
17.761 * [backup-simplify]: Simplify (/ PI 1) into PI
17.762 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.763 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.763 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
17.763 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
17.764 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.765 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
17.767 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
17.767 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
17.767 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
17.767 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
17.767 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
17.767 * [taylor]: Taking taylor expansion of 1/2 in n
17.767 * [backup-simplify]: Simplify 1/2 into 1/2
17.767 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
17.767 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.767 * [taylor]: Taking taylor expansion of k in n
17.767 * [backup-simplify]: Simplify k into k
17.767 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.767 * [taylor]: Taking taylor expansion of 1 in n
17.767 * [backup-simplify]: Simplify 1 into 1
17.767 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
17.767 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.767 * [taylor]: Taking taylor expansion of -2 in n
17.767 * [backup-simplify]: Simplify -2 into -2
17.767 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.767 * [taylor]: Taking taylor expansion of PI in n
17.767 * [backup-simplify]: Simplify PI into PI
17.767 * [taylor]: Taking taylor expansion of n in n
17.767 * [backup-simplify]: Simplify 0 into 0
17.767 * [backup-simplify]: Simplify 1 into 1
17.768 * [backup-simplify]: Simplify (/ PI 1) into PI
17.768 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.769 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.769 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
17.769 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
17.771 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.772 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
17.773 * [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)))))
17.773 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
17.773 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
17.773 * [taylor]: Taking taylor expansion of 1/2 in k
17.773 * [backup-simplify]: Simplify 1/2 into 1/2
17.773 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
17.773 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
17.773 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.773 * [taylor]: Taking taylor expansion of k in k
17.773 * [backup-simplify]: Simplify 0 into 0
17.773 * [backup-simplify]: Simplify 1 into 1
17.774 * [backup-simplify]: Simplify (/ 1 1) into 1
17.774 * [taylor]: Taking taylor expansion of 1 in k
17.774 * [backup-simplify]: Simplify 1 into 1
17.774 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
17.774 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
17.774 * [taylor]: Taking taylor expansion of (* -2 PI) in k
17.774 * [taylor]: Taking taylor expansion of -2 in k
17.774 * [backup-simplify]: Simplify -2 into -2
17.774 * [taylor]: Taking taylor expansion of PI in k
17.774 * [backup-simplify]: Simplify PI into PI
17.774 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.775 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.775 * [taylor]: Taking taylor expansion of (log n) in k
17.775 * [taylor]: Taking taylor expansion of n in k
17.775 * [backup-simplify]: Simplify n into n
17.776 * [backup-simplify]: Simplify (log n) into (log n)
17.776 * [backup-simplify]: Simplify (+ 1 0) into 1
17.776 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.777 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
17.778 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
17.779 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
17.780 * [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)))))
17.781 * [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)))))
17.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.783 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
17.785 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
17.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.785 * [backup-simplify]: Simplify (+ 0 0) into 0
17.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
17.787 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.789 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
17.791 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.791 * [taylor]: Taking taylor expansion of 0 in k
17.791 * [backup-simplify]: Simplify 0 into 0
17.791 * [backup-simplify]: Simplify 0 into 0
17.791 * [backup-simplify]: Simplify 0 into 0
17.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.793 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
17.796 * [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
17.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.797 * [backup-simplify]: Simplify (+ 0 0) into 0
17.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
17.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.800 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
17.803 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.803 * [taylor]: Taking taylor expansion of 0 in k
17.803 * [backup-simplify]: Simplify 0 into 0
17.803 * [backup-simplify]: Simplify 0 into 0
17.803 * [backup-simplify]: Simplify 0 into 0
17.803 * [backup-simplify]: Simplify 0 into 0
17.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.805 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.811 * [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
17.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.812 * [backup-simplify]: Simplify (+ 0 0) into 0
17.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
17.814 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.816 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
17.819 * [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
17.819 * [taylor]: Taking taylor expansion of 0 in k
17.819 * [backup-simplify]: Simplify 0 into 0
17.819 * [backup-simplify]: Simplify 0 into 0
17.820 * [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))))))
17.820 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
17.821 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
17.821 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
17.821 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.821 * [taylor]: Taking taylor expansion of k in k
17.821 * [backup-simplify]: Simplify 0 into 0
17.821 * [backup-simplify]: Simplify 1 into 1
17.821 * [backup-simplify]: Simplify (/ 1 1) into 1
17.821 * [backup-simplify]: Simplify (sqrt 0) into 0
17.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.823 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.823 * [taylor]: Taking taylor expansion of k in k
17.823 * [backup-simplify]: Simplify 0 into 0
17.823 * [backup-simplify]: Simplify 1 into 1
17.823 * [backup-simplify]: Simplify (/ 1 1) into 1
17.824 * [backup-simplify]: Simplify (sqrt 0) into 0
17.825 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.825 * [backup-simplify]: Simplify 0 into 0
17.825 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.829 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.829 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.832 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.833 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
17.833 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
17.833 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
17.833 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.833 * [taylor]: Taking taylor expansion of k in k
17.833 * [backup-simplify]: Simplify 0 into 0
17.833 * [backup-simplify]: Simplify 1 into 1
17.833 * [backup-simplify]: Simplify (sqrt 0) into 0
17.834 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.834 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.834 * [taylor]: Taking taylor expansion of k in k
17.834 * [backup-simplify]: Simplify 0 into 0
17.834 * [backup-simplify]: Simplify 1 into 1
17.834 * [backup-simplify]: Simplify (sqrt 0) into 0
17.835 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.835 * [backup-simplify]: Simplify 0 into 0
17.835 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.837 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.837 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.840 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.840 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
17.840 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
17.840 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
17.840 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
17.840 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.840 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.840 * [taylor]: Taking taylor expansion of -1 in k
17.840 * [backup-simplify]: Simplify -1 into -1
17.840 * [taylor]: Taking taylor expansion of k in k
17.840 * [backup-simplify]: Simplify 0 into 0
17.840 * [backup-simplify]: Simplify 1 into 1
17.840 * [backup-simplify]: Simplify (/ -1 1) into -1
17.841 * [backup-simplify]: Simplify (sqrt 0) into 0
17.842 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.842 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
17.842 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
17.842 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.842 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.842 * [taylor]: Taking taylor expansion of -1 in k
17.842 * [backup-simplify]: Simplify -1 into -1
17.842 * [taylor]: Taking taylor expansion of k in k
17.842 * [backup-simplify]: Simplify 0 into 0
17.842 * [backup-simplify]: Simplify 1 into 1
17.842 * [backup-simplify]: Simplify (/ -1 1) into -1
17.843 * [backup-simplify]: Simplify (sqrt 0) into 0
17.843 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.844 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
17.844 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.850 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.851 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
17.851 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.856 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
17.857 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.857 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
17.857 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
17.857 * [backup-simplify]: Simplify (* PI n) into (* n PI)
17.857 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0
17.857 * [taylor]: Taking taylor expansion of (* n PI) in n
17.857 * [taylor]: Taking taylor expansion of n in n
17.857 * [backup-simplify]: Simplify 0 into 0
17.857 * [backup-simplify]: Simplify 1 into 1
17.857 * [taylor]: Taking taylor expansion of PI in n
17.858 * [backup-simplify]: Simplify PI into PI
17.858 * [taylor]: Taking taylor expansion of (* n PI) in n
17.858 * [taylor]: Taking taylor expansion of n in n
17.858 * [backup-simplify]: Simplify 0 into 0
17.858 * [backup-simplify]: Simplify 1 into 1
17.858 * [taylor]: Taking taylor expansion of PI in n
17.858 * [backup-simplify]: Simplify PI into PI
17.858 * [backup-simplify]: Simplify (* 0 PI) into 0
17.858 * [backup-simplify]: Simplify 0 into 0
17.859 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.859 * [backup-simplify]: Simplify PI into PI
17.859 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.859 * [backup-simplify]: Simplify 0 into 0
17.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
17.860 * [backup-simplify]: Simplify 0 into 0
17.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.861 * [backup-simplify]: Simplify 0 into 0
17.862 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.862 * [backup-simplify]: Simplify 0 into 0
17.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.863 * [backup-simplify]: Simplify 0 into 0
17.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
17.864 * [backup-simplify]: Simplify 0 into 0
17.864 * [backup-simplify]: Simplify (* PI n) into (* n PI)
17.864 * [backup-simplify]: Simplify (* PI (/ 1 n)) into (/ PI n)
17.864 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0
17.864 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.864 * [taylor]: Taking taylor expansion of PI in n
17.864 * [backup-simplify]: Simplify PI into PI
17.864 * [taylor]: Taking taylor expansion of n in n
17.864 * [backup-simplify]: Simplify 0 into 0
17.864 * [backup-simplify]: Simplify 1 into 1
17.864 * [backup-simplify]: Simplify (/ PI 1) into PI
17.864 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.864 * [taylor]: Taking taylor expansion of PI in n
17.864 * [backup-simplify]: Simplify PI into PI
17.864 * [taylor]: Taking taylor expansion of n in n
17.864 * [backup-simplify]: Simplify 0 into 0
17.865 * [backup-simplify]: Simplify 1 into 1
17.865 * [backup-simplify]: Simplify (/ PI 1) into PI
17.865 * [backup-simplify]: Simplify PI into PI
17.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.866 * [backup-simplify]: Simplify 0 into 0
17.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.866 * [backup-simplify]: Simplify 0 into 0
17.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.867 * [backup-simplify]: Simplify 0 into 0
17.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.867 * [backup-simplify]: Simplify 0 into 0
17.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.868 * [backup-simplify]: Simplify 0 into 0
17.869 * [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
17.869 * [backup-simplify]: Simplify 0 into 0
17.869 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 n))) into (* n PI)
17.869 * [backup-simplify]: Simplify (* PI (/ 1 (- n))) into (* -1 (/ PI n))
17.869 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0
17.869 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n
17.869 * [taylor]: Taking taylor expansion of -1 in n
17.869 * [backup-simplify]: Simplify -1 into -1
17.869 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.869 * [taylor]: Taking taylor expansion of PI in n
17.869 * [backup-simplify]: Simplify PI into PI
17.869 * [taylor]: Taking taylor expansion of n in n
17.869 * [backup-simplify]: Simplify 0 into 0
17.869 * [backup-simplify]: Simplify 1 into 1
17.869 * [backup-simplify]: Simplify (/ PI 1) into PI
17.869 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n
17.869 * [taylor]: Taking taylor expansion of -1 in n
17.869 * [backup-simplify]: Simplify -1 into -1
17.869 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.869 * [taylor]: Taking taylor expansion of PI in n
17.869 * [backup-simplify]: Simplify PI into PI
17.869 * [taylor]: Taking taylor expansion of n in n
17.869 * [backup-simplify]: Simplify 0 into 0
17.869 * [backup-simplify]: Simplify 1 into 1
17.870 * [backup-simplify]: Simplify (/ PI 1) into PI
17.870 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI)
17.870 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI)
17.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.871 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0
17.871 * [backup-simplify]: Simplify 0 into 0
17.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.872 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0
17.872 * [backup-simplify]: Simplify 0 into 0
17.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.874 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.874 * [backup-simplify]: Simplify 0 into 0
17.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.875 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.875 * [backup-simplify]: Simplify 0 into 0
17.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.876 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.876 * [backup-simplify]: Simplify 0 into 0
17.877 * [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
17.878 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.878 * [backup-simplify]: Simplify 0 into 0
17.878 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- n)))) into (* n PI)
17.879 * * * * [progress]: [ 4 / 4 ] generating series at (2)
17.879 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
17.879 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
17.879 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
17.879 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
17.879 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
17.879 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
17.879 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
17.879 * [taylor]: Taking taylor expansion of 1/2 in n
17.879 * [backup-simplify]: Simplify 1/2 into 1/2
17.879 * [taylor]: Taking taylor expansion of (- 1 k) in n
17.879 * [taylor]: Taking taylor expansion of 1 in n
17.879 * [backup-simplify]: Simplify 1 into 1
17.879 * [taylor]: Taking taylor expansion of k in n
17.879 * [backup-simplify]: Simplify k into k
17.879 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.879 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.879 * [taylor]: Taking taylor expansion of 2 in n
17.879 * [backup-simplify]: Simplify 2 into 2
17.879 * [taylor]: Taking taylor expansion of (* n PI) in n
17.879 * [taylor]: Taking taylor expansion of n in n
17.879 * [backup-simplify]: Simplify 0 into 0
17.879 * [backup-simplify]: Simplify 1 into 1
17.879 * [taylor]: Taking taylor expansion of PI in n
17.879 * [backup-simplify]: Simplify PI into PI
17.880 * [backup-simplify]: Simplify (* 0 PI) into 0
17.880 * [backup-simplify]: Simplify (* 2 0) into 0
17.882 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.883 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.885 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.885 * [backup-simplify]: Simplify (- k) into (- k)
17.885 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
17.885 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
17.887 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.888 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
17.890 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
17.890 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
17.890 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.890 * [taylor]: Taking taylor expansion of k in n
17.890 * [backup-simplify]: Simplify k into k
17.890 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.890 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
17.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
17.890 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
17.890 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
17.890 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
17.890 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
17.890 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
17.890 * [taylor]: Taking taylor expansion of 1/2 in k
17.890 * [backup-simplify]: Simplify 1/2 into 1/2
17.890 * [taylor]: Taking taylor expansion of (- 1 k) in k
17.890 * [taylor]: Taking taylor expansion of 1 in k
17.891 * [backup-simplify]: Simplify 1 into 1
17.891 * [taylor]: Taking taylor expansion of k in k
17.891 * [backup-simplify]: Simplify 0 into 0
17.891 * [backup-simplify]: Simplify 1 into 1
17.891 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
17.891 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
17.891 * [taylor]: Taking taylor expansion of 2 in k
17.891 * [backup-simplify]: Simplify 2 into 2
17.891 * [taylor]: Taking taylor expansion of (* n PI) in k
17.891 * [taylor]: Taking taylor expansion of n in k
17.891 * [backup-simplify]: Simplify n into n
17.891 * [taylor]: Taking taylor expansion of PI in k
17.891 * [backup-simplify]: Simplify PI into PI
17.891 * [backup-simplify]: Simplify (* n PI) into (* n PI)
17.891 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
17.891 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
17.892 * [backup-simplify]: Simplify (- 0) into 0
17.892 * [backup-simplify]: Simplify (+ 1 0) into 1
17.892 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.893 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
17.893 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
17.893 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.893 * [taylor]: Taking taylor expansion of k in k
17.893 * [backup-simplify]: Simplify 0 into 0
17.893 * [backup-simplify]: Simplify 1 into 1
17.893 * [backup-simplify]: Simplify (/ 1 1) into 1
17.894 * [backup-simplify]: Simplify (sqrt 0) into 0
17.895 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.895 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
17.895 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
17.895 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
17.896 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
17.896 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
17.896 * [taylor]: Taking taylor expansion of 1/2 in k
17.896 * [backup-simplify]: Simplify 1/2 into 1/2
17.896 * [taylor]: Taking taylor expansion of (- 1 k) in k
17.896 * [taylor]: Taking taylor expansion of 1 in k
17.896 * [backup-simplify]: Simplify 1 into 1
17.896 * [taylor]: Taking taylor expansion of k in k
17.896 * [backup-simplify]: Simplify 0 into 0
17.896 * [backup-simplify]: Simplify 1 into 1
17.896 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
17.896 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
17.896 * [taylor]: Taking taylor expansion of 2 in k
17.896 * [backup-simplify]: Simplify 2 into 2
17.896 * [taylor]: Taking taylor expansion of (* n PI) in k
17.896 * [taylor]: Taking taylor expansion of n in k
17.896 * [backup-simplify]: Simplify n into n
17.896 * [taylor]: Taking taylor expansion of PI in k
17.896 * [backup-simplify]: Simplify PI into PI
17.896 * [backup-simplify]: Simplify (* n PI) into (* n PI)
17.896 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
17.896 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
17.897 * [backup-simplify]: Simplify (- 0) into 0
17.897 * [backup-simplify]: Simplify (+ 1 0) into 1
17.898 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.898 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
17.898 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
17.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.898 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.898 * [taylor]: Taking taylor expansion of k in k
17.898 * [backup-simplify]: Simplify 0 into 0
17.898 * [backup-simplify]: Simplify 1 into 1
17.898 * [backup-simplify]: Simplify (/ 1 1) into 1
17.899 * [backup-simplify]: Simplify (sqrt 0) into 0
17.900 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.900 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
17.900 * [taylor]: Taking taylor expansion of 0 in n
17.900 * [backup-simplify]: Simplify 0 into 0
17.900 * [backup-simplify]: Simplify 0 into 0
17.901 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
17.901 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
17.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
17.902 * [backup-simplify]: Simplify (- 1) into -1
17.903 * [backup-simplify]: Simplify (+ 0 -1) into -1
17.904 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
17.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
17.904 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
17.905 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
17.905 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
17.905 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
17.905 * [taylor]: Taking taylor expansion of +nan.0 in n
17.905 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.905 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
17.905 * [taylor]: Taking taylor expansion of (sqrt 2) in n
17.905 * [taylor]: Taking taylor expansion of 2 in n
17.905 * [backup-simplify]: Simplify 2 into 2
17.905 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
17.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
17.906 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
17.906 * [taylor]: Taking taylor expansion of (* n PI) in n
17.906 * [taylor]: Taking taylor expansion of n in n
17.906 * [backup-simplify]: Simplify 0 into 0
17.906 * [backup-simplify]: Simplify 1 into 1
17.906 * [taylor]: Taking taylor expansion of PI in n
17.906 * [backup-simplify]: Simplify PI into PI
17.907 * [backup-simplify]: Simplify (* 0 PI) into 0
17.908 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.908 * [backup-simplify]: Simplify (sqrt 0) into 0
17.910 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
17.910 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
17.910 * [backup-simplify]: Simplify (* +nan.0 0) into 0
17.911 * [backup-simplify]: Simplify (- 0) into 0
17.911 * [backup-simplify]: Simplify 0 into 0
17.911 * [backup-simplify]: Simplify 0 into 0
17.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.914 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.915 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
17.915 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
17.916 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
17.916 * [backup-simplify]: Simplify (- 0) into 0
17.917 * [backup-simplify]: Simplify (+ 0 0) into 0
17.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
17.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
17.918 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
17.919 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
17.919 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
17.919 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
17.919 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
17.919 * [taylor]: Taking taylor expansion of +nan.0 in n
17.919 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.919 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
17.919 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
17.919 * [taylor]: Taking taylor expansion of (sqrt 2) in n
17.919 * [taylor]: Taking taylor expansion of 2 in n
17.919 * [backup-simplify]: Simplify 2 into 2
17.919 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
17.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
17.920 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.920 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.920 * [taylor]: Taking taylor expansion of 2 in n
17.920 * [backup-simplify]: Simplify 2 into 2
17.920 * [taylor]: Taking taylor expansion of (* n PI) in n
17.920 * [taylor]: Taking taylor expansion of n in n
17.920 * [backup-simplify]: Simplify 0 into 0
17.920 * [backup-simplify]: Simplify 1 into 1
17.920 * [taylor]: Taking taylor expansion of PI in n
17.920 * [backup-simplify]: Simplify PI into PI
17.920 * [backup-simplify]: Simplify (* 0 PI) into 0
17.920 * [backup-simplify]: Simplify (* 2 0) into 0
17.921 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.922 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.923 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.923 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
17.923 * [taylor]: Taking taylor expansion of (* n PI) in n
17.923 * [taylor]: Taking taylor expansion of n in n
17.923 * [backup-simplify]: Simplify 0 into 0
17.923 * [backup-simplify]: Simplify 1 into 1
17.923 * [taylor]: Taking taylor expansion of PI in n
17.923 * [backup-simplify]: Simplify PI into PI
17.923 * [backup-simplify]: Simplify (* 0 PI) into 0
17.924 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.924 * [backup-simplify]: Simplify (sqrt 0) into 0
17.925 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
17.925 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
17.925 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
17.925 * [taylor]: Taking taylor expansion of +nan.0 in n
17.925 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.925 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
17.925 * [taylor]: Taking taylor expansion of (sqrt 2) in n
17.925 * [taylor]: Taking taylor expansion of 2 in n
17.925 * [backup-simplify]: Simplify 2 into 2
17.925 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
17.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
17.926 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
17.926 * [taylor]: Taking taylor expansion of (* n PI) in n
17.926 * [taylor]: Taking taylor expansion of n in n
17.926 * [backup-simplify]: Simplify 0 into 0
17.926 * [backup-simplify]: Simplify 1 into 1
17.926 * [taylor]: Taking taylor expansion of PI in n
17.926 * [backup-simplify]: Simplify PI into PI
17.926 * [backup-simplify]: Simplify (* 0 PI) into 0
17.927 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.927 * [backup-simplify]: Simplify (sqrt 0) into 0
17.928 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
17.929 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.930 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
17.931 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
17.931 * [backup-simplify]: Simplify (* +nan.0 0) into 0
17.931 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
17.931 * [backup-simplify]: Simplify (* +nan.0 0) into 0
17.932 * [backup-simplify]: Simplify (- 0) into 0
17.932 * [backup-simplify]: Simplify (+ 0 0) into 0
17.932 * [backup-simplify]: Simplify (- 0) into 0
17.932 * [backup-simplify]: Simplify 0 into 0
17.934 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
17.937 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
17.939 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
17.940 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
17.940 * [backup-simplify]: Simplify 0 into 0
17.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.944 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.944 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
17.950 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
17.951 * [backup-simplify]: Simplify (- 0) into 0
17.951 * [backup-simplify]: Simplify (+ 0 0) into 0
17.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
17.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
17.953 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
17.954 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
17.954 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
17.954 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
17.954 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
17.954 * [taylor]: Taking taylor expansion of +nan.0 in n
17.954 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.954 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
17.954 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
17.955 * [taylor]: Taking taylor expansion of (sqrt 2) in n
17.955 * [taylor]: Taking taylor expansion of 2 in n
17.955 * [backup-simplify]: Simplify 2 into 2
17.955 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
17.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
17.956 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.956 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.956 * [taylor]: Taking taylor expansion of 2 in n
17.956 * [backup-simplify]: Simplify 2 into 2
17.956 * [taylor]: Taking taylor expansion of (* n PI) in n
17.956 * [taylor]: Taking taylor expansion of n in n
17.956 * [backup-simplify]: Simplify 0 into 0
17.956 * [backup-simplify]: Simplify 1 into 1
17.956 * [taylor]: Taking taylor expansion of PI in n
17.956 * [backup-simplify]: Simplify PI into PI
17.957 * [backup-simplify]: Simplify (* 0 PI) into 0
17.957 * [backup-simplify]: Simplify (* 2 0) into 0
17.959 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.960 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.961 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.961 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
17.961 * [taylor]: Taking taylor expansion of (* n PI) in n
17.961 * [taylor]: Taking taylor expansion of n in n
17.961 * [backup-simplify]: Simplify 0 into 0
17.961 * [backup-simplify]: Simplify 1 into 1
17.961 * [taylor]: Taking taylor expansion of PI in n
17.961 * [backup-simplify]: Simplify PI into PI
17.962 * [backup-simplify]: Simplify (* 0 PI) into 0
17.963 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.964 * [backup-simplify]: Simplify (sqrt 0) into 0
17.965 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
17.965 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
17.965 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
17.965 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
17.965 * [taylor]: Taking taylor expansion of +nan.0 in n
17.965 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.965 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
17.965 * [taylor]: Taking taylor expansion of (sqrt 2) in n
17.965 * [taylor]: Taking taylor expansion of 2 in n
17.965 * [backup-simplify]: Simplify 2 into 2
17.965 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
17.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
17.966 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
17.966 * [taylor]: Taking taylor expansion of (* n PI) in n
17.966 * [taylor]: Taking taylor expansion of n in n
17.966 * [backup-simplify]: Simplify 0 into 0
17.966 * [backup-simplify]: Simplify 1 into 1
17.966 * [taylor]: Taking taylor expansion of PI in n
17.966 * [backup-simplify]: Simplify PI into PI
17.967 * [backup-simplify]: Simplify (* 0 PI) into 0
17.968 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.968 * [backup-simplify]: Simplify (sqrt 0) into 0
17.970 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
17.970 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
17.970 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
17.970 * [taylor]: Taking taylor expansion of +nan.0 in n
17.970 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.970 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
17.970 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
17.970 * [taylor]: Taking taylor expansion of (sqrt 2) in n
17.970 * [taylor]: Taking taylor expansion of 2 in n
17.970 * [backup-simplify]: Simplify 2 into 2
17.970 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
17.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
17.971 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
17.971 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.971 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.971 * [taylor]: Taking taylor expansion of 2 in n
17.971 * [backup-simplify]: Simplify 2 into 2
17.971 * [taylor]: Taking taylor expansion of (* n PI) in n
17.971 * [taylor]: Taking taylor expansion of n in n
17.971 * [backup-simplify]: Simplify 0 into 0
17.971 * [backup-simplify]: Simplify 1 into 1
17.971 * [taylor]: Taking taylor expansion of PI in n
17.971 * [backup-simplify]: Simplify PI into PI
17.972 * [backup-simplify]: Simplify (* 0 PI) into 0
17.972 * [backup-simplify]: Simplify (* 2 0) into 0
17.974 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.976 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.976 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.978 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.978 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
17.978 * [taylor]: Taking taylor expansion of (* n PI) in n
17.978 * [taylor]: Taking taylor expansion of n in n
17.978 * [backup-simplify]: Simplify 0 into 0
17.978 * [backup-simplify]: Simplify 1 into 1
17.978 * [taylor]: Taking taylor expansion of PI in n
17.978 * [backup-simplify]: Simplify PI into PI
17.978 * [backup-simplify]: Simplify (* 0 PI) into 0
17.980 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.980 * [backup-simplify]: Simplify (sqrt 0) into 0
17.982 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
17.983 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.984 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
17.986 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
17.986 * [backup-simplify]: Simplify (* +nan.0 0) into 0
17.987 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
17.987 * [backup-simplify]: Simplify (* +nan.0 0) into 0
17.989 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.990 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.992 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
17.994 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
17.995 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
17.995 * [backup-simplify]: Simplify (* +nan.0 0) into 0
17.996 * [backup-simplify]: Simplify (- 0) into 0
17.996 * [backup-simplify]: Simplify (+ 0 0) into 0
17.997 * [backup-simplify]: Simplify (- 0) into 0
17.997 * [backup-simplify]: Simplify (+ 0 0) into 0
17.997 * [backup-simplify]: Simplify (- 0) into 0
17.997 * [backup-simplify]: Simplify 0 into 0
17.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
18.001 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
18.003 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
18.005 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
18.007 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
18.014 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
18.017 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
18.023 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
18.026 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
18.034 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
18.043 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
18.050 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
18.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
18.055 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
18.056 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
18.060 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
18.064 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
18.067 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
18.069 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
18.082 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
18.083 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* PI (/ 1 n)) 2) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
18.083 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
18.083 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
18.083 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
18.083 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
18.083 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
18.083 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
18.083 * [taylor]: Taking taylor expansion of 1/2 in n
18.083 * [backup-simplify]: Simplify 1/2 into 1/2
18.083 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
18.083 * [taylor]: Taking taylor expansion of 1 in n
18.083 * [backup-simplify]: Simplify 1 into 1
18.083 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.083 * [taylor]: Taking taylor expansion of k in n
18.083 * [backup-simplify]: Simplify k into k
18.083 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.083 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
18.083 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
18.083 * [taylor]: Taking taylor expansion of 2 in n
18.083 * [backup-simplify]: Simplify 2 into 2
18.083 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.083 * [taylor]: Taking taylor expansion of PI in n
18.083 * [backup-simplify]: Simplify PI into PI
18.083 * [taylor]: Taking taylor expansion of n in n
18.083 * [backup-simplify]: Simplify 0 into 0
18.083 * [backup-simplify]: Simplify 1 into 1
18.083 * [backup-simplify]: Simplify (/ PI 1) into PI
18.084 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.084 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
18.084 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
18.084 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
18.085 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
18.085 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.086 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
18.087 * [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)))))
18.087 * [taylor]: Taking taylor expansion of (sqrt k) in n
18.087 * [taylor]: Taking taylor expansion of k in n
18.087 * [backup-simplify]: Simplify k into k
18.087 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
18.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
18.087 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
18.087 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
18.087 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
18.087 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
18.087 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
18.087 * [taylor]: Taking taylor expansion of 1/2 in k
18.087 * [backup-simplify]: Simplify 1/2 into 1/2
18.087 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
18.087 * [taylor]: Taking taylor expansion of 1 in k
18.087 * [backup-simplify]: Simplify 1 into 1
18.087 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.087 * [taylor]: Taking taylor expansion of k in k
18.087 * [backup-simplify]: Simplify 0 into 0
18.087 * [backup-simplify]: Simplify 1 into 1
18.087 * [backup-simplify]: Simplify (/ 1 1) into 1
18.087 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
18.087 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
18.087 * [taylor]: Taking taylor expansion of 2 in k
18.087 * [backup-simplify]: Simplify 2 into 2
18.087 * [taylor]: Taking taylor expansion of (/ PI n) in k
18.088 * [taylor]: Taking taylor expansion of PI in k
18.088 * [backup-simplify]: Simplify PI into PI
18.088 * [taylor]: Taking taylor expansion of n in k
18.088 * [backup-simplify]: Simplify n into n
18.088 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
18.088 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
18.088 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
18.088 * [backup-simplify]: Simplify (- 1) into -1
18.088 * [backup-simplify]: Simplify (+ 0 -1) into -1
18.089 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
18.089 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
18.089 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
18.089 * [taylor]: Taking taylor expansion of (sqrt k) in k
18.089 * [taylor]: Taking taylor expansion of k in k
18.089 * [backup-simplify]: Simplify 0 into 0
18.089 * [backup-simplify]: Simplify 1 into 1
18.089 * [backup-simplify]: Simplify (sqrt 0) into 0
18.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.090 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
18.090 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
18.090 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
18.090 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
18.090 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
18.090 * [taylor]: Taking taylor expansion of 1/2 in k
18.090 * [backup-simplify]: Simplify 1/2 into 1/2
18.090 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
18.091 * [taylor]: Taking taylor expansion of 1 in k
18.091 * [backup-simplify]: Simplify 1 into 1
18.091 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.091 * [taylor]: Taking taylor expansion of k in k
18.091 * [backup-simplify]: Simplify 0 into 0
18.091 * [backup-simplify]: Simplify 1 into 1
18.091 * [backup-simplify]: Simplify (/ 1 1) into 1
18.091 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
18.091 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
18.091 * [taylor]: Taking taylor expansion of 2 in k
18.091 * [backup-simplify]: Simplify 2 into 2
18.091 * [taylor]: Taking taylor expansion of (/ PI n) in k
18.091 * [taylor]: Taking taylor expansion of PI in k
18.091 * [backup-simplify]: Simplify PI into PI
18.091 * [taylor]: Taking taylor expansion of n in k
18.091 * [backup-simplify]: Simplify n into n
18.091 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
18.091 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
18.091 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
18.091 * [backup-simplify]: Simplify (- 1) into -1
18.092 * [backup-simplify]: Simplify (+ 0 -1) into -1
18.092 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
18.092 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
18.092 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
18.092 * [taylor]: Taking taylor expansion of (sqrt k) in k
18.092 * [taylor]: Taking taylor expansion of k in k
18.092 * [backup-simplify]: Simplify 0 into 0
18.092 * [backup-simplify]: Simplify 1 into 1
18.093 * [backup-simplify]: Simplify (sqrt 0) into 0
18.094 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.094 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
18.094 * [taylor]: Taking taylor expansion of 0 in n
18.094 * [backup-simplify]: Simplify 0 into 0
18.094 * [backup-simplify]: Simplify 0 into 0
18.095 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
18.095 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
18.095 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
18.095 * [taylor]: Taking taylor expansion of +nan.0 in n
18.095 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.095 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
18.095 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
18.095 * [taylor]: Taking taylor expansion of 1/2 in n
18.095 * [backup-simplify]: Simplify 1/2 into 1/2
18.095 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
18.095 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
18.095 * [taylor]: Taking taylor expansion of 1 in n
18.095 * [backup-simplify]: Simplify 1 into 1
18.095 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.095 * [taylor]: Taking taylor expansion of k in n
18.095 * [backup-simplify]: Simplify k into k
18.095 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.095 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
18.095 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
18.095 * [taylor]: Taking taylor expansion of 2 in n
18.095 * [backup-simplify]: Simplify 2 into 2
18.095 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.095 * [taylor]: Taking taylor expansion of PI in n
18.095 * [backup-simplify]: Simplify PI into PI
18.095 * [taylor]: Taking taylor expansion of n in n
18.095 * [backup-simplify]: Simplify 0 into 0
18.095 * [backup-simplify]: Simplify 1 into 1
18.096 * [backup-simplify]: Simplify (/ PI 1) into PI
18.096 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.096 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
18.097 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
18.097 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
18.097 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.098 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
18.099 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
18.099 * [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)))))
18.100 * [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))))))
18.101 * [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)))))))
18.102 * [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)))))))
18.102 * [backup-simplify]: Simplify 0 into 0
18.104 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.104 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
18.104 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
18.104 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
18.104 * [taylor]: Taking taylor expansion of +nan.0 in n
18.104 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.104 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
18.104 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
18.104 * [taylor]: Taking taylor expansion of 1/2 in n
18.104 * [backup-simplify]: Simplify 1/2 into 1/2
18.104 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
18.104 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
18.104 * [taylor]: Taking taylor expansion of 1 in n
18.104 * [backup-simplify]: Simplify 1 into 1
18.104 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.104 * [taylor]: Taking taylor expansion of k in n
18.104 * [backup-simplify]: Simplify k into k
18.105 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.105 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
18.105 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
18.105 * [taylor]: Taking taylor expansion of 2 in n
18.105 * [backup-simplify]: Simplify 2 into 2
18.105 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.105 * [taylor]: Taking taylor expansion of PI in n
18.105 * [backup-simplify]: Simplify PI into PI
18.105 * [taylor]: Taking taylor expansion of n in n
18.105 * [backup-simplify]: Simplify 0 into 0
18.105 * [backup-simplify]: Simplify 1 into 1
18.105 * [backup-simplify]: Simplify (/ PI 1) into PI
18.105 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.106 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
18.106 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
18.106 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
18.107 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.108 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
18.108 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
18.109 * [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)))))
18.110 * [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))))))
18.110 * [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)))))))
18.111 * [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)))))))
18.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
18.112 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
18.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
18.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.113 * [backup-simplify]: Simplify (- 0) into 0
18.114 * [backup-simplify]: Simplify (+ 0 0) into 0
18.115 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.115 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
18.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
18.117 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.118 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
18.118 * [backup-simplify]: Simplify (- 0) into 0
18.118 * [backup-simplify]: Simplify 0 into 0
18.118 * [backup-simplify]: Simplify 0 into 0
18.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.121 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
18.121 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
18.121 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
18.121 * [taylor]: Taking taylor expansion of +nan.0 in n
18.122 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.122 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
18.122 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
18.122 * [taylor]: Taking taylor expansion of 1/2 in n
18.122 * [backup-simplify]: Simplify 1/2 into 1/2
18.122 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
18.122 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
18.122 * [taylor]: Taking taylor expansion of 1 in n
18.122 * [backup-simplify]: Simplify 1 into 1
18.122 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.122 * [taylor]: Taking taylor expansion of k in n
18.122 * [backup-simplify]: Simplify k into k
18.122 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.122 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
18.122 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
18.122 * [taylor]: Taking taylor expansion of 2 in n
18.122 * [backup-simplify]: Simplify 2 into 2
18.122 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.122 * [taylor]: Taking taylor expansion of PI in n
18.122 * [backup-simplify]: Simplify PI into PI
18.122 * [taylor]: Taking taylor expansion of n in n
18.122 * [backup-simplify]: Simplify 0 into 0
18.122 * [backup-simplify]: Simplify 1 into 1
18.122 * [backup-simplify]: Simplify (/ PI 1) into PI
18.122 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.123 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
18.123 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
18.123 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
18.124 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.125 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
18.125 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
18.126 * [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)))))
18.127 * [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))))))
18.128 * [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)))))))
18.128 * [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)))))))
18.131 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
18.131 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* PI (/ 1 (- n))) 2) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
18.131 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
18.131 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
18.131 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
18.131 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
18.131 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
18.131 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
18.131 * [taylor]: Taking taylor expansion of 1/2 in n
18.132 * [backup-simplify]: Simplify 1/2 into 1/2
18.132 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
18.132 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.132 * [taylor]: Taking taylor expansion of k in n
18.132 * [backup-simplify]: Simplify k into k
18.132 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.132 * [taylor]: Taking taylor expansion of 1 in n
18.132 * [backup-simplify]: Simplify 1 into 1
18.132 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
18.132 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
18.132 * [taylor]: Taking taylor expansion of -2 in n
18.132 * [backup-simplify]: Simplify -2 into -2
18.132 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.132 * [taylor]: Taking taylor expansion of PI in n
18.132 * [backup-simplify]: Simplify PI into PI
18.132 * [taylor]: Taking taylor expansion of n in n
18.132 * [backup-simplify]: Simplify 0 into 0
18.132 * [backup-simplify]: Simplify 1 into 1
18.132 * [backup-simplify]: Simplify (/ PI 1) into PI
18.133 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.134 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
18.134 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
18.134 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
18.135 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.136 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
18.137 * [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)))))
18.137 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
18.138 * [taylor]: Taking taylor expansion of (/ -1 k) in n
18.138 * [taylor]: Taking taylor expansion of -1 in n
18.138 * [backup-simplify]: Simplify -1 into -1
18.138 * [taylor]: Taking taylor expansion of k in n
18.138 * [backup-simplify]: Simplify k into k
18.138 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
18.138 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
18.138 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
18.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
18.139 * [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)))
18.139 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
18.139 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
18.139 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
18.139 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
18.139 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
18.139 * [taylor]: Taking taylor expansion of 1/2 in k
18.139 * [backup-simplify]: Simplify 1/2 into 1/2
18.139 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
18.139 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.139 * [taylor]: Taking taylor expansion of k in k
18.140 * [backup-simplify]: Simplify 0 into 0
18.140 * [backup-simplify]: Simplify 1 into 1
18.140 * [backup-simplify]: Simplify (/ 1 1) into 1
18.140 * [taylor]: Taking taylor expansion of 1 in k
18.140 * [backup-simplify]: Simplify 1 into 1
18.140 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
18.140 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
18.140 * [taylor]: Taking taylor expansion of -2 in k
18.140 * [backup-simplify]: Simplify -2 into -2
18.140 * [taylor]: Taking taylor expansion of (/ PI n) in k
18.140 * [taylor]: Taking taylor expansion of PI in k
18.140 * [backup-simplify]: Simplify PI into PI
18.140 * [taylor]: Taking taylor expansion of n in k
18.140 * [backup-simplify]: Simplify n into n
18.140 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
18.141 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
18.141 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
18.141 * [backup-simplify]: Simplify (+ 1 0) into 1
18.141 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.142 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
18.142 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
18.142 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
18.142 * [taylor]: Taking taylor expansion of (/ -1 k) in k
18.142 * [taylor]: Taking taylor expansion of -1 in k
18.142 * [backup-simplify]: Simplify -1 into -1
18.142 * [taylor]: Taking taylor expansion of k in k
18.142 * [backup-simplify]: Simplify 0 into 0
18.142 * [backup-simplify]: Simplify 1 into 1
18.142 * [backup-simplify]: Simplify (/ -1 1) into -1
18.143 * [backup-simplify]: Simplify (sqrt 0) into 0
18.144 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
18.144 * [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)))))
18.144 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
18.145 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
18.145 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
18.145 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
18.145 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
18.145 * [taylor]: Taking taylor expansion of 1/2 in k
18.145 * [backup-simplify]: Simplify 1/2 into 1/2
18.145 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
18.145 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.145 * [taylor]: Taking taylor expansion of k in k
18.145 * [backup-simplify]: Simplify 0 into 0
18.145 * [backup-simplify]: Simplify 1 into 1
18.145 * [backup-simplify]: Simplify (/ 1 1) into 1
18.145 * [taylor]: Taking taylor expansion of 1 in k
18.145 * [backup-simplify]: Simplify 1 into 1
18.145 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
18.145 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
18.145 * [taylor]: Taking taylor expansion of -2 in k
18.145 * [backup-simplify]: Simplify -2 into -2
18.145 * [taylor]: Taking taylor expansion of (/ PI n) in k
18.145 * [taylor]: Taking taylor expansion of PI in k
18.145 * [backup-simplify]: Simplify PI into PI
18.145 * [taylor]: Taking taylor expansion of n in k
18.145 * [backup-simplify]: Simplify n into n
18.145 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
18.146 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
18.146 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
18.146 * [backup-simplify]: Simplify (+ 1 0) into 1
18.146 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.147 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
18.147 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
18.147 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
18.147 * [taylor]: Taking taylor expansion of (/ -1 k) in k
18.147 * [taylor]: Taking taylor expansion of -1 in k
18.147 * [backup-simplify]: Simplify -1 into -1
18.147 * [taylor]: Taking taylor expansion of k in k
18.147 * [backup-simplify]: Simplify 0 into 0
18.147 * [backup-simplify]: Simplify 1 into 1
18.147 * [backup-simplify]: Simplify (/ -1 1) into -1
18.148 * [backup-simplify]: Simplify (sqrt 0) into 0
18.149 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
18.149 * [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)))))
18.149 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
18.149 * [taylor]: Taking taylor expansion of +nan.0 in n
18.149 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.149 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
18.150 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
18.150 * [taylor]: Taking taylor expansion of 1/2 in n
18.150 * [backup-simplify]: Simplify 1/2 into 1/2
18.150 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
18.150 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
18.150 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
18.150 * [taylor]: Taking taylor expansion of -2 in n
18.150 * [backup-simplify]: Simplify -2 into -2
18.150 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.150 * [taylor]: Taking taylor expansion of PI in n
18.150 * [backup-simplify]: Simplify PI into PI
18.150 * [taylor]: Taking taylor expansion of n in n
18.150 * [backup-simplify]: Simplify 0 into 0
18.150 * [backup-simplify]: Simplify 1 into 1
18.150 * [backup-simplify]: Simplify (/ PI 1) into PI
18.151 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.151 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
18.151 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
18.151 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.151 * [taylor]: Taking taylor expansion of k in n
18.151 * [backup-simplify]: Simplify k into k
18.151 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.151 * [taylor]: Taking taylor expansion of 1 in n
18.151 * [backup-simplify]: Simplify 1 into 1
18.152 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.152 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
18.153 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
18.153 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
18.154 * [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)))))
18.155 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
18.156 * [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))))))
18.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.158 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.159 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
18.159 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
18.159 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
18.159 * [taylor]: Taking taylor expansion of +nan.0 in n
18.159 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.159 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
18.159 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
18.159 * [taylor]: Taking taylor expansion of 1/2 in n
18.159 * [backup-simplify]: Simplify 1/2 into 1/2
18.159 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
18.159 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
18.159 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
18.159 * [taylor]: Taking taylor expansion of -2 in n
18.159 * [backup-simplify]: Simplify -2 into -2
18.159 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.159 * [taylor]: Taking taylor expansion of PI in n
18.159 * [backup-simplify]: Simplify PI into PI
18.159 * [taylor]: Taking taylor expansion of n in n
18.159 * [backup-simplify]: Simplify 0 into 0
18.159 * [backup-simplify]: Simplify 1 into 1
18.159 * [backup-simplify]: Simplify (/ PI 1) into PI
18.159 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.160 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
18.160 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
18.160 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.160 * [taylor]: Taking taylor expansion of k in n
18.160 * [backup-simplify]: Simplify k into k
18.160 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.160 * [taylor]: Taking taylor expansion of 1 in n
18.160 * [backup-simplify]: Simplify 1 into 1
18.161 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.161 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
18.162 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
18.163 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
18.163 * [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)))))
18.164 * [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))))))
18.165 * [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)))))))
18.166 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
18.167 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.168 * [backup-simplify]: Simplify (+ 0 0) into 0
18.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
18.169 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
18.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
18.170 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
18.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
18.176 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.177 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
18.177 * [backup-simplify]: Simplify 0 into 0
18.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.182 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
18.182 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
18.182 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
18.182 * [taylor]: Taking taylor expansion of +nan.0 in n
18.182 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.182 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
18.182 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
18.182 * [taylor]: Taking taylor expansion of 1/2 in n
18.182 * [backup-simplify]: Simplify 1/2 into 1/2
18.182 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
18.182 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
18.182 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
18.182 * [taylor]: Taking taylor expansion of -2 in n
18.182 * [backup-simplify]: Simplify -2 into -2
18.182 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.182 * [taylor]: Taking taylor expansion of PI in n
18.182 * [backup-simplify]: Simplify PI into PI
18.182 * [taylor]: Taking taylor expansion of n in n
18.182 * [backup-simplify]: Simplify 0 into 0
18.182 * [backup-simplify]: Simplify 1 into 1
18.182 * [backup-simplify]: Simplify (/ PI 1) into PI
18.183 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.183 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
18.183 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
18.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.183 * [taylor]: Taking taylor expansion of k in n
18.183 * [backup-simplify]: Simplify k into k
18.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.183 * [taylor]: Taking taylor expansion of 1 in n
18.183 * [backup-simplify]: Simplify 1 into 1
18.184 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.184 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
18.185 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
18.186 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
18.187 * [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)))))
18.187 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
18.188 * [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)))))))
18.189 * [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)))))))
18.191 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
18.191 * * * [progress]: simplifying candidates
18.191 * * * * [progress]: [ 1 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)))))>
18.192 * * * * [progress]: [ 2 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (log (* PI n)) (log 2)) (/ (- 1 k) 2)))))>
18.192 * * * * [progress]: [ 3 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))))>
18.192 * * * * [progress]: [ 4 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))))>
18.192 * * * * [progress]: [ 5 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (* 1 (/ (- 1 k) 2)))))>
18.192 * * * * [progress]: [ 6 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (* 1 (/ (- 1 k) 2)))))>
18.192 * * * * [progress]: [ 7 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (* 1 (/ (- 1 k) 2)))))>
18.192 * * * * [progress]: [ 8 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))))>
18.192 * * * * [progress]: [ 9 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
18.192 * * * * [progress]: [ 10 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
18.192 * * * * [progress]: [ 11 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))>
18.192 * * * * [progress]: [ 12 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))>
18.192 * * * * [progress]: [ 13 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))>
18.192 * * * * [progress]: [ 14 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))>
18.192 * * * * [progress]: [ 15 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))>
18.192 * * * * [progress]: [ 16 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))>
18.192 * * * * [progress]: [ 17 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
18.192 * * * * [progress]: [ 18 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
18.192 * * * * [progress]: [ 19 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ 1 1)) (/ (- 1 k) 2))))>
18.192 * * * * [progress]: [ 20 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))>
18.192 * * * * [progress]: [ 21 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))>
18.192 * * * * [progress]: [ 22 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))>
18.192 * * * * [progress]: [ 23 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))>
18.192 * * * * [progress]: [ 24 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))>
18.192 * * * * [progress]: [ 25 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))>
18.193 * * * * [progress]: [ 26 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
18.193 * * * * [progress]: [ 27 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
18.193 * * * * [progress]: [ 28 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ 1 1)) (/ (- 1 k) 2))))>
18.193 * * * * [progress]: [ 29 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) 1) (/ (- 1 k) 2))))>
18.193 * * * * [progress]: [ 30 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (- 1 k)) (/ 1 2))))>
18.193 * * * * [progress]: [ 31 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* PI n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))>
18.193 * * * * [progress]: [ 32 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* PI n) 2) (/ (- 1 k) 2)) 1)))>
18.193 * * * * [progress]: [ 33 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (log (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.193 * * * * [progress]: [ 34 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.193 * * * * [progress]: [ 35 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.193 * * * * [progress]: [ 36 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.193 * * * * [progress]: [ 37 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.193 * * * * [progress]: [ 38 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* 1 (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.193 * * * * [progress]: [ 39 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))))>
18.193 * * * * [progress]: [ 40 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.193 * * * * [progress]: [ 41 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.193 * * * * [progress]: [ 42 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- 1/2)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.193 * * * * [progress]: [ 43 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) (- 1)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.193 * * * * [progress]: [ 44 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- (/ 1 2))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.193 * * * * [progress]: [ 45 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1 (sqrt k)) 1) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.193 * * * * [progress]: [ 46 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.193 * * * * [progress]: [ 47 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- 0 (log (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.193 * * * * [progress]: [ 48 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log 1) (log (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.193 * * * * [progress]: [ 49 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1 (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.193 * * * * [progress]: [ 50 / 188 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.193 * * * * [progress]: [ 51 / 188 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.193 * * * * [progress]: [ 52 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 53 / 188 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 54 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 55 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1) (- (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 56 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 57 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 58 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 59 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 60 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 61 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 62 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 63 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 64 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 65 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 66 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 67 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 68 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 69 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 70 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 71 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt 1)) (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 72 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 73 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 74 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 75 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.194 * * * * [progress]: [ 76 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 77 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 78 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 79 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 80 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 81 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 82 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 83 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (cbrt 1))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 84 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (sqrt 1))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 85 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 86 / 188 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 87 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (pow (* PI n) 1) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 88 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (pow (* PI n) 1) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 89 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (exp (+ (log PI) (log n))) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 90 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (exp (log (* PI n))) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 91 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (log (exp (* PI n))) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 92 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (cbrt (* (* (* PI PI) PI) (* (* n n) n))) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 93 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n))) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 94 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (cbrt (* (* (* PI n) (* PI n)) (* PI n))) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 95 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (sqrt (* PI n)) (sqrt (* PI n))) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 96 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 1 (* PI n)) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 97 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n))) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 98 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* PI (* (cbrt n) (cbrt n))) (cbrt n)) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 99 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* PI (sqrt n)) (sqrt n)) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 100 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* PI 1) n) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 101 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) n)) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 102 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (sqrt PI) (* (sqrt PI) n)) 2) (/ (- 1 k) 2))))>
18.195 * * * * [progress]: [ 103 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 1 (* PI n)) 2) (/ (- 1 k) 2))))>
18.196 * * * * [progress]: [ 104 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (posit16->real (real->posit16 (* PI n))) 2) (/ (- 1 k) 2))))>
18.196 * * * * [progress]: [ 105 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))))>
18.196 * * * * [progress]: [ 106 / 188 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) 1))>
18.196 * * * * [progress]: [ 107 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 108 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (log (* PI n)) (log 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 109 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 110 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 111 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (log (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.196 * * * * [progress]: [ 112 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 113 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (log (* PI n)) (log 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 114 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 115 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 116 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (log (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.196 * * * * [progress]: [ 117 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 118 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (log (* PI n)) (log 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 119 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 120 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 121 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (log (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.196 * * * * [progress]: [ 122 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 123 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (log (* PI n)) (log 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 124 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 125 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))))>
18.196 * * * * [progress]: [ 126 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (log (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.196 * * * * [progress]: [ 127 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.196 * * * * [progress]: [ 128 / 188 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.196 * * * * [progress]: [ 129 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.197 * * * * [progress]: [ 130 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.197 * * * * [progress]: [ 131 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.197 * * * * [progress]: [ 132 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.197 * * * * [progress]: [ 133 / 188 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.197 * * * * [progress]: [ 134 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* PI n) 2) (/ 1 2))) (* (sqrt k) (pow (* (* PI n) 2) (/ k 2)))))>
18.197 * * * * [progress]: [ 135 / 188 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.197 * * * * [progress]: [ 136 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.197 * * * * [progress]: [ 137 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))))>
18.197 * * * * [progress]: [ 138 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.197 * * * * [progress]: [ 139 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))))>
18.197 * * * * [progress]: [ 140 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.197 * * * * [progress]: [ 141 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))))>
18.197 * * * * [progress]: [ 142 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.197 * * * * [progress]: [ 143 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))))>
18.197 * * * * [progress]: [ 144 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.197 * * * * [progress]: [ 145 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))))>
18.197 * * * * [progress]: [ 146 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* PI n) (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))))>
18.197 * * * * [progress]: [ 147 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.197 * * * * [progress]: [ 148 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.197 * * * * [progress]: [ 149 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.197 * * * * [progress]: [ 150 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))))>
18.197 * * * * [progress]: [ 151 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.197 * * * * [progress]: [ 152 / 188 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 153 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 154 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 155 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 156 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (* (/ (cbrt 1) (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 157 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 158 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (* (/ (cbrt 1) (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 159 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 160 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 161 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 162 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt 1)) (* (/ (sqrt 1) (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 163 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 164 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (* (/ (sqrt 1) (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 165 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 166 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 167 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 168 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 169 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 170 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 171 / 188 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 172 / 188 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))>
18.198 * * * * [progress]: [ 173 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ 1 2))) (pow (* (* PI n) 2) (/ k 2))))>
18.198 * * * * [progress]: [ 174 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt k)))>
18.199 * * * * [progress]: [ 175 / 188 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))))>
18.199 * * * * [progress]: [ 176 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
18.199 * * * * [progress]: [ 177 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))))>
18.199 * * * * [progress]: [ 178 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
18.199 * * * * [progress]: [ 179 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
18.199 * * * * [progress]: [ 180 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.199 * * * * [progress]: [ 181 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.199 * * * * [progress]: [ 182 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>
18.199 * * * * [progress]: [ 183 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))))>
18.199 * * * * [progress]: [ 184 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))))>
18.199 * * * * [progress]: [ 185 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))))>
18.199 * * * * [progress]: [ 186 / 188 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
18.199 * * * * [progress]: [ 187 / 188 ] 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)))))))))>
18.199 * * * * [progress]: [ 188 / 188 ] 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)))))))))))))>
18.203 * [simplify]: Simplifying:
  (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2))
  (* (+ (log (* PI n)) (log 2)) (/ (- 1 k) 2))
  (* (log (* (* PI n) 2)) (/ (- 1 k) 2))
  (* (log (* (* PI n) 2)) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* (* PI n) 2) (/ 1 2))
  (pow (* (* PI n) 2) (/ k 2))
  (pow (* (* PI n) 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* PI n) 2) (sqrt (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI n) 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI n) 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))
  (pow (* (* PI n) 2) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI n) 2) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI n) 2) (/ (sqrt (- 1 k)) 1))
  (pow (* (* PI n) 2) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI n) 2) (/ 1 (sqrt 2)))
  (pow (* (* PI n) 2) (/ 1 1))
  (pow (* (* PI n) 2) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI n) 2) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* (* PI n) 2) (/ (+ (sqrt 1) (sqrt k)) 1))
  (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1))
  (pow (* (* PI n) 2) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI n) 2) (/ 1 (sqrt 2)))
  (pow (* (* PI n) 2) (/ 1 1))
  (pow (* (* PI n) 2) 1)
  (pow (* (* PI n) 2) (- 1 k))
  (pow (* PI n) (/ (- 1 k) 2))
  (pow 2 (/ (- 1 k) 2))
  (log (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (exp (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))
  (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (- 1/2)
  (- 1)
  (- (/ 1 2))
  (- (log (sqrt k)))
  (- 0 (log (sqrt k)))
  (- (log 1) (log (sqrt k)))
  (log (/ 1 (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (- 1)
  (- (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1) (cbrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1) (sqrt (cbrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))
  (/ (cbrt 1) (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (sqrt k))
  (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1) (cbrt (sqrt k)))
  (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1) (sqrt (cbrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1)
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ (sqrt k) (cbrt 1))
  (/ (sqrt k) (sqrt 1))
  (/ (sqrt k) 1)
  (real->posit16 (/ 1 (sqrt k)))
  (* PI n)
  (+ (log PI) (log n))
  (log (* PI n))
  (exp (* PI n))
  (* (* (* PI PI) PI) (* (* n n) n))
  (* (cbrt (* PI n)) (cbrt (* PI n)))
  (cbrt (* PI n))
  (* (* (* PI n) (* PI n)) (* PI n))
  (sqrt (* PI n))
  (sqrt (* PI n))
  (* (sqrt PI) (sqrt n))
  (* (sqrt PI) (sqrt n))
  (* PI (* (cbrt n) (cbrt n)))
  (* PI (sqrt n))
  (* PI 1)
  (* (cbrt PI) n)
  (* (sqrt PI) n)
  (* PI n)
  (real->posit16 (* PI n))
  (+ (- (log (sqrt k))) (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (+ (log (* PI n)) (log 2)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (log (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (+ (- 0 (log (sqrt k))) (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (+ (log (* PI n)) (log 2)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (log (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (+ (log (* PI n)) (log 2)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (log (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (+ (log (/ 1 (sqrt k))) (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (+ (log (* PI n)) (log 2)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (log (* (* PI n) 2)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (log (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (log (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (exp (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (cbrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (* (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* 1 (pow (* (* PI n) 2) (/ 1 2)))
  (* (sqrt k) (pow (* (* PI n) 2) (/ k 2)))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt k)) (pow (* PI n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt k)) 1)
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))
  (* (cbrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (cbrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ 1 2)))
  (* 1 (pow (* (* PI n) 2) (/ (- 1 k) 2)))
  (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (* n PI)
  (* n PI)
  (* n PI)
  (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
18.209 * * [simplify]: iteration 1: (344 enodes)
18.425 * * [simplify]: iteration 2: (1481 enodes)
18.823 * * [simplify]: Extracting #0: cost 97 inf + 0
18.824 * * [simplify]: Extracting #1: cost 493 inf + 4
18.828 * * [simplify]: Extracting #2: cost 824 inf + 7458
18.838 * * [simplify]: Extracting #3: cost 938 inf + 29841
18.885 * * [simplify]: Extracting #4: cost 594 inf + 147165
18.966 * * [simplify]: Extracting #5: cost 198 inf + 308824
19.078 * * [simplify]: Extracting #6: cost 27 inf + 395160
19.165 * * [simplify]: Extracting #7: cost 0 inf + 413155
19.232 * * [simplify]: Extracting #8: cost 0 inf + 412955
19.340 * [simplify]: Simplified to:
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (sqrt (* n (* 2 PI)))
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2)))
  (pow (* n (* 2 PI)) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* n (* 2 PI)) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k))))
  (pow (* n (* 2 PI)) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* n (* 2 PI)) (sqrt (- 1 k)))
  (pow (* n (* 2 PI)) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (* n (* 2 PI))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2)))
  (pow (* n (* 2 PI)) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (+ (sqrt k) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2)))
  (pow (* n (* 2 PI)) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (+ (sqrt k) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (pow (* n (* 2 PI)) (- 1 k))
  (pow (* PI n) (/ (- 1 k) 2))
  (pow 2 (/ (- 1 k) 2))
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 3)
  (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))
  (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  -1/2
  -1
  -1/2
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (/ 1 (sqrt k)) k)
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (* (/ 1 (sqrt k)) (* (/ 1 (sqrt k)) (/ 1 (sqrt k))))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  -1
  (- (sqrt k))
  (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (sqrt k)
  (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k))))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt (sqrt k)))
  1
  (sqrt k)
  (sqrt k)
  (sqrt k)
  (real->posit16 (/ 1 (sqrt k)))
  (* PI n)
  (log (* PI n))
  (log (* PI n))
  (exp (* PI n))
  (* (* (* PI n) (* PI n)) (* PI n))
  (* (cbrt (* PI n)) (cbrt (* PI n)))
  (cbrt (* PI n))
  (* (* (* PI n) (* PI n)) (* PI n))
  (sqrt (* PI n))
  (sqrt (* PI n))
  (* (sqrt PI) (sqrt n))
  (* (sqrt PI) (sqrt n))
  (* (* (cbrt n) (cbrt n)) PI)
  (* (sqrt n) PI)
  PI
  (* n (cbrt PI))
  (* (sqrt PI) n)
  (* PI n)
  (real->posit16 (* PI n))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
  (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 3) (* k (sqrt k)))
  (* (/ (/ 1 (sqrt k)) (sqrt k)) (* (/ 1 (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 3)))
  (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
  (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
  (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (* n (* 2 PI)))
  (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))
  (* (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* PI n) (/ (- 1 k) 2)) (sqrt k))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (pow (* n (* 2 PI)) (- 1/4 (/ k 4))) (sqrt k))
  (* (cbrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (sqrt (* n (* 2 PI))) (sqrt k))
  (pow (* n (* 2 PI)) (/ (- 1 k) 2))
  (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (- (+ (* (* (exp (* (log (* n (* 2 PI))) 1/2)) (log (* 2 PI))) (* (* k (* (log n) k)) 1/4)) (+ (* 1/8 (* (log (* 2 PI)) (* (log (* 2 PI)) (* (* (exp (* (log (* n (* 2 PI))) 1/2)) k) k)))) (+ (exp (* (log (* n (* 2 PI))) 1/2)) (* (* 1/8 (exp (* (log (* n (* 2 PI))) 1/2))) (* (* (log n) k) (* (log n) k)))))) (* 1/2 (* k (+ (* (log n) (exp (* (log (* n (* 2 PI))) 1/2))) (* (exp (* (log (* n (* 2 PI))) 1/2)) (log (* 2 PI)))))))
  (exp (* (* (- 1 k) 1/2) (log (* n (* 2 PI)))))
  (exp (* (- (log (* PI -2)) (log (/ -1 n))) (* (- 1 k) 1/2)))
  (+ (* (- +nan.0) (* k k)) (- +nan.0 (* k +nan.0)))
  (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ +nan.0 (* (* k k) k))))
  (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (* k k)))
  (* PI n)
  (* PI n)
  (* PI n)
  (+ (* (* (* k (* PI n)) (sqrt 2)) (- +nan.0)) (+ (- (* +nan.0 (* (sqrt 2) (* PI n))) (* (* (log (* 2 PI)) (* (* k (* PI n)) (sqrt 2))) +nan.0)) (* (* +nan.0 (sqrt 2)) (- (* (* k (* PI n)) (log n)) (* (* PI n) (* PI n))))))
  (+ (* (/ (exp (* (* (- 1 k) 1/2) (log (* n (* 2 PI))))) k) (- +nan.0)) (- (/ (* +nan.0 (exp (* (* (- 1 k) 1/2) (log (* n (* 2 PI)))))) (* k k)) (/ (* +nan.0 (exp (* (* (- 1 k) 1/2) (log (* n (* 2 PI)))))) (* (* k k) k))))
  (+ (* (/ (exp (* (- (log (* PI -2)) (log (/ -1 n))) (* (- 1 k) 1/2))) k) (- +nan.0)) (* +nan.0 (- (/ (exp (* (- (log (* PI -2)) (log (/ -1 n))) (* (- 1 k) 1/2))) (* k k)) (exp (* (- (log (* PI -2)) (log (/ -1 n))) (* (- 1 k) 1/2))))))
19.352 * * * [progress]: adding candidates to table
21.539 * [progress]: [Phase 3 of 3] Extracting.
21.539 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))))> #<alt (λ (k n) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))> #<alt (λ (k n) (/ (sqrt (* n (* 2 PI))) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* PI n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))> #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>)
21.540 * * * [regime-changes]: Trying 2 branch expressions: (n k)
21.541 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))))> #<alt (λ (k n) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))> #<alt (λ (k n) (/ (sqrt (* n (* 2 PI))) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* PI n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))> #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>)
21.586 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))))> #<alt (λ (k n) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)))))> #<alt (λ (k n) (/ (sqrt (* n (* 2 PI))) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* PI n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))> #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2))))>)
21.654 * * * [regime]: Found split indices: #<option (#s(si 7 255))>
21.654 * [simplify]: Simplifying:
  (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))
21.654 * * [simplify]: iteration 1: (13 enodes)
21.655 * * [simplify]: iteration 2: (18 enodes)
21.656 * * [simplify]: Extracting #0: cost 1 inf + 0
21.656 * * [simplify]: Extracting #1: cost 3 inf + 0
21.656 * * [simplify]: Extracting #2: cost 7 inf + 0
21.656 * * [simplify]: Extracting #3: cost 8 inf + 2
21.656 * * [simplify]: Extracting #4: cost 9 inf + 215
21.656 * * [simplify]: Extracting #5: cost 3 inf + 385
21.656 * * [simplify]: Extracting #6: cost 1 inf + 843
21.656 * * [simplify]: Extracting #7: cost 0 inf + 1469
21.656 * [simplify]: Simplified to:
  (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))
30.106 * [regime-testing]: Baseline error score: 0.36089379581480735
30.110 * [regime-testing]: Oracle error score: 0.034853877630852285
30.119 * [regime-testing]: End program error score: 0.36089379581480735