0.003 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.257 * * * [progress]: [2/2] Setting up program. 0.260 * [progress]: [Phase 2 of 3] Improving. 0.261 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.261 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.261 * * [simplify]: iters left: 6 (13 enodes) 0.267 * * [simplify]: iters left: 5 (57 enodes) 0.286 * * [simplify]: iters left: 4 (96 enodes) 0.347 * * [simplify]: iters left: 3 (172 enodes) 0.401 * * [simplify]: iters left: 2 (338 enodes) 0.530 * * [simplify]: Extracting #0: cost 1 inf + 0 0.530 * * [simplify]: Extracting #1: cost 41 inf + 0 0.531 * * [simplify]: Extracting #2: cost 120 inf + 1 0.531 * * [simplify]: Extracting #3: cost 166 inf + 127 0.532 * * [simplify]: Extracting #4: cost 166 inf + 467 0.534 * * [simplify]: Extracting #5: cost 119 inf + 9856 0.546 * * [simplify]: Extracting #6: cost 46 inf + 40838 0.570 * * [simplify]: Extracting #7: cost 4 inf + 73302 0.597 * * [simplify]: Extracting #8: cost 0 inf + 76897 0.623 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.624 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.636 * * [progress]: iteration 1 / 4 0.636 * * * [progress]: picking best candidate 0.645 * * * * [pick]: Picked # 0.645 * * * [progress]: localizing error 0.671 * * * [progress]: generating rewritten candidates 0.671 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.686 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.699 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.712 * * * [progress]: generating series expansions 0.712 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.713 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.713 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.713 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.713 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.713 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.713 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.713 * [taylor]: Taking taylor expansion of 1/2 in k 0.713 * [backup-simplify]: Simplify 1/2 into 1/2 0.713 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.713 * [taylor]: Taking taylor expansion of 1 in k 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [taylor]: Taking taylor expansion of k in k 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.713 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.713 * [taylor]: Taking taylor expansion of 2 in k 0.713 * [backup-simplify]: Simplify 2 into 2 0.713 * [taylor]: Taking taylor expansion of (* n PI) in k 0.713 * [taylor]: Taking taylor expansion of n in k 0.713 * [backup-simplify]: Simplify n into n 0.713 * [taylor]: Taking taylor expansion of PI in k 0.713 * [backup-simplify]: Simplify PI into PI 0.713 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.714 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.714 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.714 * [backup-simplify]: Simplify (- 0) into 0 0.714 * [backup-simplify]: Simplify (+ 1 0) into 1 0.715 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.715 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.715 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.715 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.715 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.715 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.715 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.715 * [taylor]: Taking taylor expansion of 1/2 in n 0.715 * [backup-simplify]: Simplify 1/2 into 1/2 0.715 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.715 * [taylor]: Taking taylor expansion of 1 in n 0.715 * [backup-simplify]: Simplify 1 into 1 0.715 * [taylor]: Taking taylor expansion of k in n 0.715 * [backup-simplify]: Simplify k into k 0.715 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.715 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.715 * [taylor]: Taking taylor expansion of 2 in n 0.715 * [backup-simplify]: Simplify 2 into 2 0.715 * [taylor]: Taking taylor expansion of (* n PI) in n 0.715 * [taylor]: Taking taylor expansion of n in n 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 1 into 1 0.715 * [taylor]: Taking taylor expansion of PI in n 0.715 * [backup-simplify]: Simplify PI into PI 0.715 * [backup-simplify]: Simplify (* 0 PI) into 0 0.716 * [backup-simplify]: Simplify (* 2 0) into 0 0.717 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.718 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.718 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.718 * [backup-simplify]: Simplify (- k) into (- k) 0.718 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.719 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.719 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.720 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.721 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.721 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.721 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.721 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.721 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.721 * [taylor]: Taking taylor expansion of 1/2 in n 0.721 * [backup-simplify]: Simplify 1/2 into 1/2 0.721 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.721 * [taylor]: Taking taylor expansion of 1 in n 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [taylor]: Taking taylor expansion of k in n 0.721 * [backup-simplify]: Simplify k into k 0.721 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.721 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.721 * [taylor]: Taking taylor expansion of 2 in n 0.721 * [backup-simplify]: Simplify 2 into 2 0.721 * [taylor]: Taking taylor expansion of (* n PI) in n 0.721 * [taylor]: Taking taylor expansion of n in n 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [taylor]: Taking taylor expansion of PI in n 0.721 * [backup-simplify]: Simplify PI into PI 0.721 * [backup-simplify]: Simplify (* 0 PI) into 0 0.722 * [backup-simplify]: Simplify (* 2 0) into 0 0.722 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.723 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.724 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.724 * [backup-simplify]: Simplify (- k) into (- k) 0.724 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.724 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.725 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.726 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.730 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.730 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.730 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.730 * [taylor]: Taking taylor expansion of 1/2 in k 0.730 * [backup-simplify]: Simplify 1/2 into 1/2 0.730 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.730 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.730 * [taylor]: Taking taylor expansion of 1 in k 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [taylor]: Taking taylor expansion of k in k 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.731 * [taylor]: Taking taylor expansion of (log n) in k 0.731 * [taylor]: Taking taylor expansion of n in k 0.731 * [backup-simplify]: Simplify n into n 0.731 * [backup-simplify]: Simplify (log n) into (log n) 0.731 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.731 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.731 * [taylor]: Taking taylor expansion of 2 in k 0.731 * [backup-simplify]: Simplify 2 into 2 0.731 * [taylor]: Taking taylor expansion of PI in k 0.731 * [backup-simplify]: Simplify PI into PI 0.731 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.732 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.732 * [backup-simplify]: Simplify (- 0) into 0 0.732 * [backup-simplify]: Simplify (+ 1 0) into 1 0.733 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.733 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.734 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.734 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.735 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.736 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.737 * [backup-simplify]: Simplify (- 0) into 0 0.738 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.739 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.739 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.740 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.740 * [taylor]: Taking taylor expansion of 0 in k 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.741 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.743 * [backup-simplify]: Simplify (- 1) into -1 0.743 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.745 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 0.747 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.748 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.750 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.752 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.752 * [backup-simplify]: Simplify (- 0) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.754 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.754 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.756 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.756 * [taylor]: Taking taylor expansion of 0 in k 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.757 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.759 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.759 * [backup-simplify]: Simplify (+ 0 0) into 0 0.760 * [backup-simplify]: Simplify (- 0) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.765 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0.767 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0.773 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 0.773 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.773 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.773 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.773 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.773 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.773 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.774 * [taylor]: Taking taylor expansion of 1/2 in k 0.774 * [backup-simplify]: Simplify 1/2 into 1/2 0.774 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.774 * [taylor]: Taking taylor expansion of 1 in k 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.774 * [taylor]: Taking taylor expansion of k in k 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.774 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.774 * [taylor]: Taking taylor expansion of 2 in k 0.774 * [backup-simplify]: Simplify 2 into 2 0.774 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.774 * [taylor]: Taking taylor expansion of PI in k 0.774 * [backup-simplify]: Simplify PI into PI 0.774 * [taylor]: Taking taylor expansion of n in k 0.774 * [backup-simplify]: Simplify n into n 0.774 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.774 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.774 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.774 * [backup-simplify]: Simplify (- 1) into -1 0.775 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.775 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.775 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.775 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.775 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.775 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.775 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.775 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.775 * [taylor]: Taking taylor expansion of 1/2 in n 0.775 * [backup-simplify]: Simplify 1/2 into 1/2 0.775 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.775 * [taylor]: Taking taylor expansion of 1 in n 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.775 * [taylor]: Taking taylor expansion of k in n 0.775 * [backup-simplify]: Simplify k into k 0.775 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.775 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.775 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.775 * [taylor]: Taking taylor expansion of 2 in n 0.775 * [backup-simplify]: Simplify 2 into 2 0.775 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.775 * [taylor]: Taking taylor expansion of PI in n 0.775 * [backup-simplify]: Simplify PI into PI 0.776 * [taylor]: Taking taylor expansion of n in n 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (/ PI 1) into PI 0.776 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.777 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.777 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.777 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.777 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.778 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.778 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.779 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.779 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.779 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.779 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.779 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.779 * [taylor]: Taking taylor expansion of 1/2 in n 0.779 * [backup-simplify]: Simplify 1/2 into 1/2 0.779 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.779 * [taylor]: Taking taylor expansion of 1 in n 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.779 * [taylor]: Taking taylor expansion of k in n 0.779 * [backup-simplify]: Simplify k into k 0.779 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.779 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.779 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.779 * [taylor]: Taking taylor expansion of 2 in n 0.779 * [backup-simplify]: Simplify 2 into 2 0.779 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.779 * [taylor]: Taking taylor expansion of PI in n 0.779 * [backup-simplify]: Simplify PI into PI 0.779 * [taylor]: Taking taylor expansion of n in n 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (/ PI 1) into PI 0.780 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.780 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.781 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.781 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.781 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.781 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.782 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.783 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.783 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.783 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.783 * [taylor]: Taking taylor expansion of 1/2 in k 0.783 * [backup-simplify]: Simplify 1/2 into 1/2 0.783 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.783 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.783 * [taylor]: Taking taylor expansion of 1 in k 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.783 * [taylor]: Taking taylor expansion of k in k 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [backup-simplify]: Simplify (/ 1 1) into 1 0.783 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.783 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.783 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.783 * [taylor]: Taking taylor expansion of 2 in k 0.783 * [backup-simplify]: Simplify 2 into 2 0.783 * [taylor]: Taking taylor expansion of PI in k 0.783 * [backup-simplify]: Simplify PI into PI 0.784 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.784 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.784 * [taylor]: Taking taylor expansion of (log n) in k 0.784 * [taylor]: Taking taylor expansion of n in k 0.784 * [backup-simplify]: Simplify n into n 0.784 * [backup-simplify]: Simplify (log n) into (log n) 0.785 * [backup-simplify]: Simplify (- 1) into -1 0.785 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.785 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.785 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.786 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.787 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.787 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.788 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.790 * [backup-simplify]: Simplify (- 0) into 0 0.791 * [backup-simplify]: Simplify (+ 0 0) into 0 0.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.792 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.792 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.793 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.794 * [taylor]: Taking taylor expansion of 0 in k 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.797 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.797 * [backup-simplify]: Simplify (- 0) into 0 0.797 * [backup-simplify]: Simplify (+ 0 0) into 0 0.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.800 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.801 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.801 * [taylor]: Taking taylor expansion of 0 in k 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.806 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 0.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.806 * [backup-simplify]: Simplify (- 0) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.808 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.809 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.811 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.811 * [taylor]: Taking taylor expansion of 0 in k 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 0.814 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.814 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.814 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.814 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.814 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.814 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.814 * [taylor]: Taking taylor expansion of 1/2 in k 0.814 * [backup-simplify]: Simplify 1/2 into 1/2 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.814 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.814 * [taylor]: Taking taylor expansion of k in k 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (/ 1 1) into 1 0.815 * [taylor]: Taking taylor expansion of 1 in k 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.815 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.815 * [taylor]: Taking taylor expansion of -2 in k 0.815 * [backup-simplify]: Simplify -2 into -2 0.815 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.815 * [taylor]: Taking taylor expansion of PI in k 0.815 * [backup-simplify]: Simplify PI into PI 0.815 * [taylor]: Taking taylor expansion of n in k 0.815 * [backup-simplify]: Simplify n into n 0.815 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.815 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.815 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.815 * [backup-simplify]: Simplify (+ 1 0) into 1 0.815 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.815 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.816 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.816 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.816 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.816 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.816 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.816 * [taylor]: Taking taylor expansion of 1/2 in n 0.816 * [backup-simplify]: Simplify 1/2 into 1/2 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.816 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.816 * [taylor]: Taking taylor expansion of k in n 0.816 * [backup-simplify]: Simplify k into k 0.816 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.816 * [taylor]: Taking taylor expansion of 1 in n 0.816 * [backup-simplify]: Simplify 1 into 1 0.816 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.816 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.816 * [taylor]: Taking taylor expansion of -2 in n 0.816 * [backup-simplify]: Simplify -2 into -2 0.816 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.816 * [taylor]: Taking taylor expansion of PI in n 0.816 * [backup-simplify]: Simplify PI into PI 0.816 * [taylor]: Taking taylor expansion of n in n 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 1 into 1 0.816 * [backup-simplify]: Simplify (/ PI 1) into PI 0.817 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.817 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.817 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.817 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.819 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.819 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.819 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.819 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.819 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.820 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.820 * [taylor]: Taking taylor expansion of 1/2 in n 0.820 * [backup-simplify]: Simplify 1/2 into 1/2 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.820 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.820 * [taylor]: Taking taylor expansion of k in n 0.820 * [backup-simplify]: Simplify k into k 0.820 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.820 * [taylor]: Taking taylor expansion of 1 in n 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.820 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.820 * [taylor]: Taking taylor expansion of -2 in n 0.820 * [backup-simplify]: Simplify -2 into -2 0.820 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.820 * [taylor]: Taking taylor expansion of PI in n 0.820 * [backup-simplify]: Simplify PI into PI 0.820 * [taylor]: Taking taylor expansion of n in n 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [backup-simplify]: Simplify (/ PI 1) into PI 0.820 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.821 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.821 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.821 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.822 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.823 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.823 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.823 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.824 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.824 * [taylor]: Taking taylor expansion of 1/2 in k 0.824 * [backup-simplify]: Simplify 1/2 into 1/2 0.824 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.824 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.824 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.824 * [taylor]: Taking taylor expansion of k in k 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (/ 1 1) into 1 0.824 * [taylor]: Taking taylor expansion of 1 in k 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.824 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.824 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.824 * [taylor]: Taking taylor expansion of -2 in k 0.824 * [backup-simplify]: Simplify -2 into -2 0.824 * [taylor]: Taking taylor expansion of PI in k 0.824 * [backup-simplify]: Simplify PI into PI 0.824 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.825 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.825 * [taylor]: Taking taylor expansion of (log n) in k 0.825 * [taylor]: Taking taylor expansion of n in k 0.825 * [backup-simplify]: Simplify n into n 0.825 * [backup-simplify]: Simplify (log n) into (log n) 0.825 * [backup-simplify]: Simplify (+ 1 0) into 1 0.825 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.826 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.827 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.827 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.828 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.828 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.831 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.832 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.833 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.834 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.834 * [taylor]: Taking taylor expansion of 0 in k 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.839 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 0.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.844 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.846 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.847 * [taylor]: Taking taylor expansion of 0 in k 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.855 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.856 * [backup-simplify]: Simplify (+ 0 0) into 0 0.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.861 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.864 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.864 * [taylor]: Taking taylor expansion of 0 in k 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 0.865 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.866 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.866 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.866 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.866 * [taylor]: Taking taylor expansion of 2 in n 0.866 * [backup-simplify]: Simplify 2 into 2 0.866 * [taylor]: Taking taylor expansion of (* n PI) in n 0.866 * [taylor]: Taking taylor expansion of n in n 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [taylor]: Taking taylor expansion of PI in n 0.866 * [backup-simplify]: Simplify PI into PI 0.866 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.866 * [taylor]: Taking taylor expansion of 2 in n 0.866 * [backup-simplify]: Simplify 2 into 2 0.866 * [taylor]: Taking taylor expansion of (* n PI) in n 0.866 * [taylor]: Taking taylor expansion of n in n 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [taylor]: Taking taylor expansion of PI in n 0.866 * [backup-simplify]: Simplify PI into PI 0.867 * [backup-simplify]: Simplify (* 0 PI) into 0 0.867 * [backup-simplify]: Simplify (* 2 0) into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.870 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.870 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.875 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.878 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.878 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.888 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.889 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.889 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.889 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.889 * [taylor]: Taking taylor expansion of 2 in n 0.889 * [backup-simplify]: Simplify 2 into 2 0.890 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.890 * [taylor]: Taking taylor expansion of PI in n 0.890 * [backup-simplify]: Simplify PI into PI 0.890 * [taylor]: Taking taylor expansion of n in n 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (/ PI 1) into PI 0.890 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.890 * [taylor]: Taking taylor expansion of 2 in n 0.890 * [backup-simplify]: Simplify 2 into 2 0.890 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.890 * [taylor]: Taking taylor expansion of PI in n 0.890 * [backup-simplify]: Simplify PI into PI 0.890 * [taylor]: Taking taylor expansion of n in n 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (/ PI 1) into PI 0.891 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.892 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.896 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.898 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.907 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.907 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.907 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.907 * [taylor]: Taking taylor expansion of -2 in n 0.907 * [backup-simplify]: Simplify -2 into -2 0.907 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.907 * [taylor]: Taking taylor expansion of PI in n 0.907 * [backup-simplify]: Simplify PI into PI 0.907 * [taylor]: Taking taylor expansion of n in n 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (/ PI 1) into PI 0.908 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.908 * [taylor]: Taking taylor expansion of -2 in n 0.908 * [backup-simplify]: Simplify -2 into -2 0.908 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.908 * [taylor]: Taking taylor expansion of PI in n 0.908 * [backup-simplify]: Simplify PI into PI 0.908 * [taylor]: Taking taylor expansion of n in n 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (/ PI 1) into PI 0.909 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.909 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.923 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.924 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.924 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.924 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.924 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.924 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.924 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.924 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.924 * [taylor]: Taking taylor expansion of 1/2 in k 0.924 * [backup-simplify]: Simplify 1/2 into 1/2 0.924 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.924 * [taylor]: Taking taylor expansion of 1 in k 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [taylor]: Taking taylor expansion of k in k 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.924 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.924 * [taylor]: Taking taylor expansion of 2 in k 0.924 * [backup-simplify]: Simplify 2 into 2 0.924 * [taylor]: Taking taylor expansion of (* n PI) in k 0.924 * [taylor]: Taking taylor expansion of n in k 0.924 * [backup-simplify]: Simplify n into n 0.924 * [taylor]: Taking taylor expansion of PI in k 0.924 * [backup-simplify]: Simplify PI into PI 0.924 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.924 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.924 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.925 * [backup-simplify]: Simplify (- 0) into 0 0.925 * [backup-simplify]: Simplify (+ 1 0) into 1 0.925 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.925 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.925 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.925 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.925 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.925 * [taylor]: Taking taylor expansion of k in k 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.926 * [backup-simplify]: Simplify (/ 1 1) into 1 0.926 * [backup-simplify]: Simplify (sqrt 0) into 0 0.927 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.927 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.927 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.927 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.927 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.927 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.927 * [taylor]: Taking taylor expansion of 1/2 in n 0.927 * [backup-simplify]: Simplify 1/2 into 1/2 0.927 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.927 * [taylor]: Taking taylor expansion of 1 in n 0.927 * [backup-simplify]: Simplify 1 into 1 0.927 * [taylor]: Taking taylor expansion of k in n 0.927 * [backup-simplify]: Simplify k into k 0.927 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.927 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.927 * [taylor]: Taking taylor expansion of 2 in n 0.927 * [backup-simplify]: Simplify 2 into 2 0.927 * [taylor]: Taking taylor expansion of (* n PI) in n 0.927 * [taylor]: Taking taylor expansion of n in n 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.927 * [taylor]: Taking taylor expansion of PI in n 0.927 * [backup-simplify]: Simplify PI into PI 0.928 * [backup-simplify]: Simplify (* 0 PI) into 0 0.928 * [backup-simplify]: Simplify (* 2 0) into 0 0.929 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.930 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.930 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.930 * [backup-simplify]: Simplify (- k) into (- k) 0.930 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.931 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.931 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.932 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.933 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.933 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.933 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.933 * [taylor]: Taking taylor expansion of k in n 0.933 * [backup-simplify]: Simplify k into k 0.933 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.933 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.933 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.933 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.933 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.933 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.933 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.933 * [taylor]: Taking taylor expansion of 1/2 in n 0.933 * [backup-simplify]: Simplify 1/2 into 1/2 0.933 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.933 * [taylor]: Taking taylor expansion of 1 in n 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [taylor]: Taking taylor expansion of k in n 0.933 * [backup-simplify]: Simplify k into k 0.933 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.933 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.933 * [taylor]: Taking taylor expansion of 2 in n 0.933 * [backup-simplify]: Simplify 2 into 2 0.933 * [taylor]: Taking taylor expansion of (* n PI) in n 0.933 * [taylor]: Taking taylor expansion of n in n 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [taylor]: Taking taylor expansion of PI in n 0.933 * [backup-simplify]: Simplify PI into PI 0.934 * [backup-simplify]: Simplify (* 0 PI) into 0 0.934 * [backup-simplify]: Simplify (* 2 0) into 0 0.935 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.936 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.936 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.936 * [backup-simplify]: Simplify (- k) into (- k) 0.936 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.936 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.939 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.940 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.940 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.940 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.940 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.940 * [taylor]: Taking taylor expansion of k in n 0.940 * [backup-simplify]: Simplify k into k 0.940 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.940 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.941 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) 0.941 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.941 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.941 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.941 * [taylor]: Taking taylor expansion of 1/2 in k 0.941 * [backup-simplify]: Simplify 1/2 into 1/2 0.941 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.941 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.941 * [taylor]: Taking taylor expansion of 1 in k 0.941 * [backup-simplify]: Simplify 1 into 1 0.941 * [taylor]: Taking taylor expansion of k in k 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 1 into 1 0.942 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.942 * [taylor]: Taking taylor expansion of (log n) in k 0.942 * [taylor]: Taking taylor expansion of n in k 0.942 * [backup-simplify]: Simplify n into n 0.942 * [backup-simplify]: Simplify (log n) into (log n) 0.942 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.942 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.942 * [taylor]: Taking taylor expansion of 2 in k 0.942 * [backup-simplify]: Simplify 2 into 2 0.942 * [taylor]: Taking taylor expansion of PI in k 0.942 * [backup-simplify]: Simplify PI into PI 0.942 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.943 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.943 * [backup-simplify]: Simplify (- 0) into 0 0.943 * [backup-simplify]: Simplify (+ 1 0) into 1 0.944 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.944 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.945 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.945 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.946 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.946 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.946 * [taylor]: Taking taylor expansion of k in k 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify (/ 1 1) into 1 0.946 * [backup-simplify]: Simplify (sqrt 0) into 0 0.947 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.948 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.949 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.950 * [backup-simplify]: Simplify (- 0) into 0 0.950 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.952 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.953 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.955 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.956 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.956 * [taylor]: Taking taylor expansion of 0 in k 0.956 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.957 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.960 * [backup-simplify]: Simplify (- 1) into -1 0.960 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.962 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.964 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 0.967 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.969 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.970 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.971 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.972 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.974 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.974 * [backup-simplify]: Simplify (- 0) into 0 0.974 * [backup-simplify]: Simplify (+ 0 0) into 0 0.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.976 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.976 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.978 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.979 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.979 * [taylor]: Taking taylor expansion of 0 in k 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.981 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.982 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.985 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [backup-simplify]: Simplify (- 0) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.991 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0.997 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 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)))))))) 1.001 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.005 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.011 * [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 1.011 * [backup-simplify]: Simplify (- 0) into 0 1.011 * [backup-simplify]: Simplify (+ 0 0) into 0 1.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 1.013 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.014 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.016 * [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 1.017 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1.017 * [taylor]: Taking taylor expansion of 0 in k 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.022 * [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 1.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.026 * [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 1.026 * [backup-simplify]: Simplify (+ 0 0) into 0 1.026 * [backup-simplify]: Simplify (- 0) into 0 1.026 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.033 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.049 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.060 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.070 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1.071 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1.071 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.071 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.071 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.071 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.071 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.071 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.071 * [taylor]: Taking taylor expansion of 1/2 in k 1.071 * [backup-simplify]: Simplify 1/2 into 1/2 1.071 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.071 * [taylor]: Taking taylor expansion of 1 in k 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.071 * [taylor]: Taking taylor expansion of k in k 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (/ 1 1) into 1 1.072 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.072 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.072 * [taylor]: Taking taylor expansion of 2 in k 1.072 * [backup-simplify]: Simplify 2 into 2 1.072 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.072 * [taylor]: Taking taylor expansion of PI in k 1.072 * [backup-simplify]: Simplify PI into PI 1.072 * [taylor]: Taking taylor expansion of n in k 1.072 * [backup-simplify]: Simplify n into n 1.072 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.072 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.072 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.072 * [backup-simplify]: Simplify (- 1) into -1 1.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.073 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.073 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.073 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.073 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.073 * [taylor]: Taking taylor expansion of k in k 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [backup-simplify]: Simplify (sqrt 0) into 0 1.074 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.074 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.074 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.074 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.074 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.074 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.074 * [taylor]: Taking taylor expansion of 1/2 in n 1.074 * [backup-simplify]: Simplify 1/2 into 1/2 1.074 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.074 * [taylor]: Taking taylor expansion of 1 in n 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.074 * [taylor]: Taking taylor expansion of k in n 1.074 * [backup-simplify]: Simplify k into k 1.074 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.074 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.074 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.075 * [taylor]: Taking taylor expansion of 2 in n 1.075 * [backup-simplify]: Simplify 2 into 2 1.075 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.075 * [taylor]: Taking taylor expansion of PI in n 1.075 * [backup-simplify]: Simplify PI into PI 1.075 * [taylor]: Taking taylor expansion of n in n 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (/ PI 1) into PI 1.075 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.076 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.076 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.076 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.076 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.077 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.077 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.078 * [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))))) 1.078 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.078 * [taylor]: Taking taylor expansion of k in n 1.078 * [backup-simplify]: Simplify k into k 1.078 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.078 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.078 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.078 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.078 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.078 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.078 * [taylor]: Taking taylor expansion of 1/2 in n 1.078 * [backup-simplify]: Simplify 1/2 into 1/2 1.078 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.078 * [taylor]: Taking taylor expansion of 1 in n 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.078 * [taylor]: Taking taylor expansion of k in n 1.078 * [backup-simplify]: Simplify k into k 1.079 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.079 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.079 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.079 * [taylor]: Taking taylor expansion of 2 in n 1.079 * [backup-simplify]: Simplify 2 into 2 1.079 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.079 * [taylor]: Taking taylor expansion of PI in n 1.079 * [backup-simplify]: Simplify PI into PI 1.079 * [taylor]: Taking taylor expansion of n in n 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (/ PI 1) into PI 1.079 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.080 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.080 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.080 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.080 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.081 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.082 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.082 * [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))))) 1.082 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.082 * [taylor]: Taking taylor expansion of k in n 1.082 * [backup-simplify]: Simplify k into k 1.082 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.083 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) 1.083 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.083 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.083 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.083 * [taylor]: Taking taylor expansion of 1/2 in k 1.083 * [backup-simplify]: Simplify 1/2 into 1/2 1.083 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.083 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.083 * [taylor]: Taking taylor expansion of 1 in k 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.083 * [taylor]: Taking taylor expansion of k in k 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.084 * [backup-simplify]: Simplify (/ 1 1) into 1 1.084 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.084 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.084 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.084 * [taylor]: Taking taylor expansion of 2 in k 1.084 * [backup-simplify]: Simplify 2 into 2 1.084 * [taylor]: Taking taylor expansion of PI in k 1.084 * [backup-simplify]: Simplify PI into PI 1.084 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.085 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.085 * [taylor]: Taking taylor expansion of (log n) in k 1.085 * [taylor]: Taking taylor expansion of n in k 1.085 * [backup-simplify]: Simplify n into n 1.085 * [backup-simplify]: Simplify (log n) into (log n) 1.085 * [backup-simplify]: Simplify (- 1) into -1 1.085 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.085 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.086 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.086 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.087 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.088 * [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))))) 1.089 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.089 * [taylor]: Taking taylor expansion of k in k 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (sqrt 0) into 0 1.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.091 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.092 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.093 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.098 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.099 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.101 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.102 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.102 * [taylor]: Taking taylor expansion of 0 in k 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.104 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.104 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.105 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.107 * [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 1.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.108 * [backup-simplify]: Simplify (- 0) into 0 1.108 * [backup-simplify]: Simplify (+ 0 0) into 0 1.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.109 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.110 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.112 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.113 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.113 * [taylor]: Taking taylor expansion of 0 in k 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.116 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.116 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.121 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.122 * [backup-simplify]: Simplify (- 0) into 0 1.122 * [backup-simplify]: Simplify (+ 0 0) into 0 1.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.124 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.125 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.126 * [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 1.127 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.127 * [taylor]: Taking taylor expansion of 0 in k 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.135 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.137 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.141 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1.142 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 1.142 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.142 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.142 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.142 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.142 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.142 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.142 * [taylor]: Taking taylor expansion of 1/2 in k 1.142 * [backup-simplify]: Simplify 1/2 into 1/2 1.142 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.142 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.142 * [taylor]: Taking taylor expansion of k in k 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 1 into 1 1.143 * [backup-simplify]: Simplify (/ 1 1) into 1 1.143 * [taylor]: Taking taylor expansion of 1 in k 1.143 * [backup-simplify]: Simplify 1 into 1 1.143 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.143 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.143 * [taylor]: Taking taylor expansion of -2 in k 1.143 * [backup-simplify]: Simplify -2 into -2 1.143 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.143 * [taylor]: Taking taylor expansion of PI in k 1.143 * [backup-simplify]: Simplify PI into PI 1.143 * [taylor]: Taking taylor expansion of n in k 1.143 * [backup-simplify]: Simplify n into n 1.143 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.143 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.143 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.144 * [backup-simplify]: Simplify (+ 1 0) into 1 1.144 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.144 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.144 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.144 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.144 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.145 * [taylor]: Taking taylor expansion of -1 in k 1.145 * [backup-simplify]: Simplify -1 into -1 1.145 * [taylor]: Taking taylor expansion of k in k 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [backup-simplify]: Simplify (/ -1 1) into -1 1.145 * [backup-simplify]: Simplify (sqrt 0) into 0 1.147 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.147 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 1.147 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.147 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.147 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.147 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.147 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.147 * [taylor]: Taking taylor expansion of 1/2 in n 1.147 * [backup-simplify]: Simplify 1/2 into 1/2 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.147 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.147 * [taylor]: Taking taylor expansion of k in n 1.147 * [backup-simplify]: Simplify k into k 1.147 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.147 * [taylor]: Taking taylor expansion of 1 in n 1.147 * [backup-simplify]: Simplify 1 into 1 1.147 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.148 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.148 * [taylor]: Taking taylor expansion of -2 in n 1.148 * [backup-simplify]: Simplify -2 into -2 1.148 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.148 * [taylor]: Taking taylor expansion of PI in n 1.148 * [backup-simplify]: Simplify PI into PI 1.148 * [taylor]: Taking taylor expansion of n in n 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [backup-simplify]: Simplify (/ PI 1) into PI 1.149 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.150 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.150 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.150 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.151 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.152 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.153 * [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))))) 1.153 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.153 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.153 * [taylor]: Taking taylor expansion of -1 in n 1.153 * [backup-simplify]: Simplify -1 into -1 1.153 * [taylor]: Taking taylor expansion of k in n 1.154 * [backup-simplify]: Simplify k into k 1.154 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.154 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.154 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.155 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 1.155 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.155 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.155 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.155 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.155 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.155 * [taylor]: Taking taylor expansion of 1/2 in n 1.155 * [backup-simplify]: Simplify 1/2 into 1/2 1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.155 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.155 * [taylor]: Taking taylor expansion of k in n 1.155 * [backup-simplify]: Simplify k into k 1.155 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.155 * [taylor]: Taking taylor expansion of 1 in n 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.156 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.156 * [taylor]: Taking taylor expansion of -2 in n 1.156 * [backup-simplify]: Simplify -2 into -2 1.156 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.156 * [taylor]: Taking taylor expansion of PI in n 1.156 * [backup-simplify]: Simplify PI into PI 1.156 * [taylor]: Taking taylor expansion of n in n 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [backup-simplify]: Simplify (/ PI 1) into PI 1.157 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.158 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.158 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.158 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.159 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.161 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.162 * [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))))) 1.162 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.162 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.162 * [taylor]: Taking taylor expansion of -1 in n 1.162 * [backup-simplify]: Simplify -1 into -1 1.162 * [taylor]: Taking taylor expansion of k in n 1.162 * [backup-simplify]: Simplify k into k 1.162 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.162 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.162 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.163 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 1.163 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.164 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.164 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.164 * [taylor]: Taking taylor expansion of 1/2 in k 1.164 * [backup-simplify]: Simplify 1/2 into 1/2 1.164 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.164 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.164 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.164 * [taylor]: Taking taylor expansion of k in k 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 1 into 1 1.164 * [backup-simplify]: Simplify (/ 1 1) into 1 1.164 * [taylor]: Taking taylor expansion of 1 in k 1.164 * [backup-simplify]: Simplify 1 into 1 1.165 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.165 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.165 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.165 * [taylor]: Taking taylor expansion of -2 in k 1.165 * [backup-simplify]: Simplify -2 into -2 1.165 * [taylor]: Taking taylor expansion of PI in k 1.165 * [backup-simplify]: Simplify PI into PI 1.165 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.166 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.166 * [taylor]: Taking taylor expansion of (log n) in k 1.166 * [taylor]: Taking taylor expansion of n in k 1.166 * [backup-simplify]: Simplify n into n 1.166 * [backup-simplify]: Simplify (log n) into (log n) 1.167 * [backup-simplify]: Simplify (+ 1 0) into 1 1.167 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.168 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.169 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.170 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.171 * [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))))) 1.171 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.171 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.171 * [taylor]: Taking taylor expansion of -1 in k 1.171 * [backup-simplify]: Simplify -1 into -1 1.171 * [taylor]: Taking taylor expansion of k in k 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [backup-simplify]: Simplify (/ -1 1) into -1 1.172 * [backup-simplify]: Simplify (sqrt 0) into 0 1.173 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.175 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1.176 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.178 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.180 * [backup-simplify]: Simplify (+ 0 0) into 0 1.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.182 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.183 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.185 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.186 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1.186 * [taylor]: Taking taylor expansion of 0 in k 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.190 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.192 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.193 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.195 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.199 * [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 1.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.200 * [backup-simplify]: Simplify (+ 0 0) into 0 1.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.202 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.203 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.206 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.206 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.207 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.208 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1.208 * [taylor]: Taking taylor expansion of 0 in k 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.217 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.218 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.222 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1.222 * * * [progress]: simplifying candidates 1.222 * * * * [progress]: [ 1 / 133 ] simplifiying candidate # 1.222 * * * * [progress]: [ 2 / 133 ] simplifiying candidate # 1.222 * * * * [progress]: [ 3 / 133 ] simplifiying candidate # 1.223 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.223 * * [simplify]: iters left: 6 (13 enodes) 1.231 * * [simplify]: iters left: 5 (54 enodes) 1.249 * * [simplify]: iters left: 4 (97 enodes) 1.295 * * [simplify]: iters left: 3 (250 enodes) 1.419 * * [simplify]: Extracting #0: cost 1 inf + 0 1.419 * * [simplify]: Extracting #1: cost 34 inf + 0 1.420 * * [simplify]: Extracting #2: cost 100 inf + 73 1.420 * * [simplify]: Extracting #3: cost 126 inf + 1867 1.424 * * [simplify]: Extracting #4: cost 46 inf + 20363 1.435 * * [simplify]: Extracting #5: cost 5 inf + 31901 1.451 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.466 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.466 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (sqrt k))) 1.466 * * * * [progress]: [ 4 / 133 ] simplifiying candidate # 1.467 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.467 * * [simplify]: iters left: 6 (12 enodes) 1.474 * * [simplify]: iters left: 5 (52 enodes) 1.492 * * [simplify]: iters left: 4 (90 enodes) 1.515 * * [simplify]: iters left: 3 (207 enodes) 1.615 * * [simplify]: Extracting #0: cost 1 inf + 0 1.615 * * [simplify]: Extracting #1: cost 29 inf + 0 1.616 * * [simplify]: Extracting #2: cost 88 inf + 73 1.616 * * [simplify]: Extracting #3: cost 117 inf + 443 1.619 * * [simplify]: Extracting #4: cost 77 inf + 5789 1.626 * * [simplify]: Extracting #5: cost 28 inf + 17508 1.642 * * [simplify]: Extracting #6: cost 0 inf + 26056 1.651 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.651 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.651 * * * * [progress]: [ 5 / 133 ] simplifiying candidate # 1.651 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.651 * * [simplify]: iters left: 6 (11 enodes) 1.655 * * [simplify]: iters left: 5 (51 enodes) 1.664 * * [simplify]: iters left: 4 (97 enodes) 1.682 * * [simplify]: iters left: 3 (201 enodes) 1.743 * * [simplify]: Extracting #0: cost 1 inf + 0 1.743 * * [simplify]: Extracting #1: cost 31 inf + 0 1.744 * * [simplify]: Extracting #2: cost 94 inf + 2 1.744 * * [simplify]: Extracting #3: cost 127 inf + 355 1.746 * * [simplify]: Extracting #4: cost 75 inf + 7402 1.749 * * [simplify]: Extracting #5: cost 31 inf + 16283 1.755 * * [simplify]: Extracting #6: cost 3 inf + 23308 1.763 * * [simplify]: Extracting #7: cost 0 inf + 24140 1.773 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 1.773 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 1.773 * * * * [progress]: [ 6 / 133 ] simplifiying candidate # 1.773 * * * * [progress]: [ 7 / 133 ] simplifiying candidate # 1.773 * [simplify]: Simplifying (* n (* 2 PI)) 1.773 * * [simplify]: iters left: 4 (5 enodes) 1.775 * * [simplify]: iters left: 3 (19 enodes) 1.778 * * [simplify]: iters left: 2 (27 enodes) 1.782 * * [simplify]: iters left: 1 (32 enodes) 1.786 * * [simplify]: Extracting #0: cost 1 inf + 0 1.786 * * [simplify]: Extracting #1: cost 8 inf + 0 1.786 * * [simplify]: Extracting #2: cost 7 inf + 45 1.786 * * [simplify]: Extracting #3: cost 0 inf + 421 1.786 * [simplify]: Simplified to (* (* PI 2) n) 1.786 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.787 * * * * [progress]: [ 8 / 133 ] simplifiying candidate # 1.787 * [simplify]: Simplifying (* n (* 2 PI)) 1.787 * * [simplify]: iters left: 4 (5 enodes) 1.788 * * [simplify]: iters left: 3 (19 enodes) 1.792 * * [simplify]: iters left: 2 (27 enodes) 1.796 * * [simplify]: iters left: 1 (32 enodes) 1.800 * * [simplify]: Extracting #0: cost 1 inf + 0 1.800 * * [simplify]: Extracting #1: cost 8 inf + 0 1.800 * * [simplify]: Extracting #2: cost 7 inf + 45 1.800 * * [simplify]: Extracting #3: cost 0 inf + 421 1.800 * [simplify]: Simplified to (* (* PI 2) n) 1.801 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.801 * * * * [progress]: [ 9 / 133 ] simplifiying candidate # 1.801 * [simplify]: Simplifying (* n (* 2 PI)) 1.801 * * [simplify]: iters left: 4 (5 enodes) 1.802 * * [simplify]: iters left: 3 (19 enodes) 1.812 * * [simplify]: iters left: 2 (27 enodes) 1.817 * * [simplify]: iters left: 1 (32 enodes) 1.821 * * [simplify]: Extracting #0: cost 1 inf + 0 1.821 * * [simplify]: Extracting #1: cost 8 inf + 0 1.822 * * [simplify]: Extracting #2: cost 7 inf + 45 1.822 * * [simplify]: Extracting #3: cost 0 inf + 421 1.822 * [simplify]: Simplified to (* (* PI 2) n) 1.822 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.822 * * * * [progress]: [ 10 / 133 ] simplifiying candidate # 1.822 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 1.822 * * [simplify]: iters left: 5 (8 enodes) 1.824 * * [simplify]: iters left: 4 (31 enodes) 1.830 * * [simplify]: iters left: 3 (51 enodes) 1.839 * * [simplify]: iters left: 2 (85 enodes) 1.857 * * [simplify]: iters left: 1 (152 enodes) 1.897 * * [simplify]: Extracting #0: cost 1 inf + 0 1.897 * * [simplify]: Extracting #1: cost 13 inf + 0 1.897 * * [simplify]: Extracting #2: cost 59 inf + 1 1.897 * * [simplify]: Extracting #3: cost 76 inf + 9 1.898 * * [simplify]: Extracting #4: cost 41 inf + 3303 1.900 * * [simplify]: Extracting #5: cost 16 inf + 10676 1.905 * * [simplify]: Extracting #6: cost 0 inf + 21028 1.908 * * [simplify]: Extracting #7: cost 0 inf + 20456 1.911 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1.911 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 1.911 * * * * [progress]: [ 11 / 133 ] simplifiying candidate # 1.911 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 1.911 * * [simplify]: iters left: 5 (6 enodes) 1.914 * * [simplify]: iters left: 4 (26 enodes) 1.921 * * [simplify]: iters left: 3 (35 enodes) 1.931 * * [simplify]: Extracting #0: cost 1 inf + 0 1.931 * * [simplify]: Extracting #1: cost 3 inf + 0 1.931 * * [simplify]: Extracting #2: cost 8 inf + 0 1.931 * * [simplify]: Extracting #3: cost 11 inf + 2 1.931 * * [simplify]: Extracting #4: cost 8 inf + 87 1.931 * * [simplify]: Extracting #5: cost 2 inf + 500 1.932 * * [simplify]: Extracting #6: cost 0 inf + 746 1.932 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 1.932 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))) 1.932 * * * * [progress]: [ 12 / 133 ] simplifiying candidate # 1.932 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 1.932 * * [simplify]: iters left: 5 (6 enodes) 1.935 * * [simplify]: iters left: 4 (26 enodes) 1.939 * * [simplify]: iters left: 3 (35 enodes) 1.944 * * [simplify]: Extracting #0: cost 1 inf + 0 1.944 * * [simplify]: Extracting #1: cost 3 inf + 0 1.944 * * [simplify]: Extracting #2: cost 8 inf + 0 1.945 * * [simplify]: Extracting #3: cost 11 inf + 2 1.945 * * [simplify]: Extracting #4: cost 8 inf + 87 1.945 * * [simplify]: Extracting #5: cost 2 inf + 460 1.945 * * [simplify]: Extracting #6: cost 0 inf + 666 1.945 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 1.945 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 1.945 * * * * [progress]: [ 13 / 133 ] simplifiying candidate # 1.945 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 1.945 * * [simplify]: iters left: 5 (7 enodes) 1.948 * * [simplify]: iters left: 4 (25 enodes) 1.952 * * [simplify]: iters left: 3 (30 enodes) 1.957 * * [simplify]: Extracting #0: cost 1 inf + 0 1.957 * * [simplify]: Extracting #1: cost 4 inf + 0 1.957 * * [simplify]: Extracting #2: cost 8 inf + 0 1.958 * * [simplify]: Extracting #3: cost 10 inf + 82 1.958 * * [simplify]: Extracting #4: cost 7 inf + 206 1.958 * * [simplify]: Extracting #5: cost 2 inf + 575 1.958 * * [simplify]: Extracting #6: cost 1 inf + 818 1.958 * * [simplify]: Extracting #7: cost 0 inf + 1061 1.958 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 1.958 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k))) 1.958 * * * * [progress]: [ 14 / 133 ] simplifiying candidate # 1.959 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 1.959 * * [simplify]: iters left: 5 (7 enodes) 1.963 * * [simplify]: iters left: 4 (25 enodes) 1.971 * * [simplify]: iters left: 3 (30 enodes) 1.981 * * [simplify]: Extracting #0: cost 1 inf + 0 1.981 * * [simplify]: Extracting #1: cost 4 inf + 0 1.981 * * [simplify]: Extracting #2: cost 8 inf + 0 1.981 * * [simplify]: Extracting #3: cost 10 inf + 42 1.981 * * [simplify]: Extracting #4: cost 7 inf + 126 1.982 * * [simplify]: Extracting #5: cost 2 inf + 495 1.982 * * [simplify]: Extracting #6: cost 1 inf + 698 1.982 * * [simplify]: Extracting #7: cost 0 inf + 901 1.983 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 1.983 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k))) 1.983 * * * * [progress]: [ 15 / 133 ] simplifiying candidate # 1.983 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 1.983 * * [simplify]: iters left: 5 (6 enodes) 1.987 * * [simplify]: iters left: 4 (22 enodes) 1.991 * * [simplify]: iters left: 3 (27 enodes) 1.995 * * [simplify]: Extracting #0: cost 1 inf + 0 1.995 * * [simplify]: Extracting #1: cost 4 inf + 0 1.995 * * [simplify]: Extracting #2: cost 5 inf + 1 1.995 * * [simplify]: Extracting #3: cost 9 inf + 1 1.995 * * [simplify]: Extracting #4: cost 8 inf + 3 1.995 * * [simplify]: Extracting #5: cost 4 inf + 169 1.995 * * [simplify]: Extracting #6: cost 1 inf + 576 1.995 * * [simplify]: Extracting #7: cost 0 inf + 739 1.996 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 1.996 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k))) 1.996 * * * * [progress]: [ 16 / 133 ] simplifiying candidate # 1.996 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 1.996 * * [simplify]: iters left: 5 (7 enodes) 1.998 * * [simplify]: iters left: 4 (25 enodes) 2.003 * * [simplify]: iters left: 3 (30 enodes) 2.010 * * [simplify]: Extracting #0: cost 1 inf + 0 2.010 * * [simplify]: Extracting #1: cost 4 inf + 0 2.010 * * [simplify]: Extracting #2: cost 8 inf + 0 2.010 * * [simplify]: Extracting #3: cost 10 inf + 82 2.010 * * [simplify]: Extracting #4: cost 7 inf + 206 2.010 * * [simplify]: Extracting #5: cost 2 inf + 495 2.010 * * [simplify]: Extracting #6: cost 1 inf + 698 2.011 * * [simplify]: Extracting #7: cost 0 inf + 901 2.011 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.011 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.011 * * * * [progress]: [ 17 / 133 ] simplifiying candidate # 2.011 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.011 * * [simplify]: iters left: 5 (7 enodes) 2.013 * * [simplify]: iters left: 4 (25 enodes) 2.018 * * [simplify]: iters left: 3 (30 enodes) 2.022 * * [simplify]: Extracting #0: cost 1 inf + 0 2.022 * * [simplify]: Extracting #1: cost 4 inf + 0 2.023 * * [simplify]: Extracting #2: cost 8 inf + 0 2.023 * * [simplify]: Extracting #3: cost 10 inf + 42 2.023 * * [simplify]: Extracting #4: cost 7 inf + 126 2.023 * * [simplify]: Extracting #5: cost 2 inf + 415 2.023 * * [simplify]: Extracting #6: cost 1 inf + 578 2.023 * * [simplify]: Extracting #7: cost 0 inf + 741 2.023 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.023 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.023 * * * * [progress]: [ 18 / 133 ] simplifiying candidate # 2.024 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.024 * * [simplify]: iters left: 5 (6 enodes) 2.025 * * [simplify]: iters left: 4 (22 enodes) 2.029 * * [simplify]: iters left: 3 (27 enodes) 2.033 * * [simplify]: Extracting #0: cost 1 inf + 0 2.033 * * [simplify]: Extracting #1: cost 4 inf + 0 2.033 * * [simplify]: Extracting #2: cost 5 inf + 1 2.033 * * [simplify]: Extracting #3: cost 9 inf + 1 2.033 * * [simplify]: Extracting #4: cost 8 inf + 3 2.033 * * [simplify]: Extracting #5: cost 4 inf + 169 2.034 * * [simplify]: Extracting #6: cost 1 inf + 456 2.034 * * [simplify]: Extracting #7: cost 0 inf + 579 2.034 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.034 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.034 * * * * [progress]: [ 19 / 133 ] simplifiying candidate # 2.034 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.034 * * [simplify]: iters left: 4 (6 enodes) 2.036 * * [simplify]: iters left: 3 (25 enodes) 2.041 * * [simplify]: iters left: 2 (36 enodes) 2.047 * * [simplify]: iters left: 1 (40 enodes) 2.058 * * [simplify]: Extracting #0: cost 1 inf + 0 2.058 * * [simplify]: Extracting #1: cost 7 inf + 0 2.058 * * [simplify]: Extracting #2: cost 16 inf + 0 2.058 * * [simplify]: Extracting #3: cost 13 inf + 44 2.058 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.059 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.059 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.059 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.060 * * * * [progress]: [ 20 / 133 ] simplifiying candidate # 2.060 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.060 * * [simplify]: iters left: 4 (6 enodes) 2.064 * * [simplify]: iters left: 3 (25 enodes) 2.073 * * [simplify]: iters left: 2 (36 enodes) 2.085 * * [simplify]: iters left: 1 (40 enodes) 2.097 * * [simplify]: Extracting #0: cost 1 inf + 0 2.097 * * [simplify]: Extracting #1: cost 7 inf + 0 2.097 * * [simplify]: Extracting #2: cost 16 inf + 0 2.097 * * [simplify]: Extracting #3: cost 13 inf + 44 2.098 * * [simplify]: Extracting #4: cost 3 inf + 823 2.098 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.099 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.099 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.099 * * * * [progress]: [ 21 / 133 ] simplifiying candidate # 2.099 * [simplify]: Simplifying (/ (- 1 k) 2) 2.099 * * [simplify]: iters left: 4 (5 enodes) 2.103 * * [simplify]: iters left: 3 (23 enodes) 2.111 * * [simplify]: iters left: 2 (32 enodes) 2.121 * * [simplify]: Extracting #0: cost 1 inf + 0 2.121 * * [simplify]: Extracting #1: cost 6 inf + 0 2.121 * * [simplify]: Extracting #2: cost 9 inf + 2 2.121 * * [simplify]: Extracting #3: cost 6 inf + 87 2.122 * * [simplify]: Extracting #4: cost 0 inf + 420 2.122 * [simplify]: Simplified to (/ (- 1 k) 2) 2.122 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.122 * * * * [progress]: [ 22 / 133 ] simplifiying candidate # 2.123 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.123 * * [simplify]: iters left: 5 (8 enodes) 2.131 * * [simplify]: iters left: 4 (31 enodes) 2.142 * * [simplify]: iters left: 3 (45 enodes) 2.156 * * [simplify]: iters left: 2 (51 enodes) 2.171 * * [simplify]: iters left: 1 (52 enodes) 2.185 * * [simplify]: Extracting #0: cost 1 inf + 0 2.185 * * [simplify]: Extracting #1: cost 8 inf + 0 2.185 * * [simplify]: Extracting #2: cost 18 inf + 0 2.185 * * [simplify]: Extracting #3: cost 19 inf + 2 2.186 * * [simplify]: Extracting #4: cost 9 inf + 977 2.186 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.187 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.188 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.188 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.188 * * * * [progress]: [ 23 / 133 ] simplifiying candidate # 2.188 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.188 * * [simplify]: iters left: 5 (8 enodes) 2.194 * * [simplify]: iters left: 4 (31 enodes) 2.205 * * [simplify]: iters left: 3 (45 enodes) 2.219 * * [simplify]: iters left: 2 (51 enodes) 2.233 * * [simplify]: iters left: 1 (52 enodes) 2.246 * * [simplify]: Extracting #0: cost 1 inf + 0 2.246 * * [simplify]: Extracting #1: cost 8 inf + 0 2.247 * * [simplify]: Extracting #2: cost 18 inf + 0 2.247 * * [simplify]: Extracting #3: cost 19 inf + 2 2.247 * * [simplify]: Extracting #4: cost 9 inf + 697 2.248 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.248 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.249 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.249 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.249 * * * * [progress]: [ 24 / 133 ] simplifiying candidate # 2.250 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.250 * * [simplify]: iters left: 5 (7 enodes) 2.255 * * [simplify]: iters left: 4 (29 enodes) 2.265 * * [simplify]: iters left: 3 (43 enodes) 2.277 * * [simplify]: iters left: 2 (47 enodes) 2.293 * * [simplify]: Extracting #0: cost 1 inf + 0 2.293 * * [simplify]: Extracting #1: cost 7 inf + 0 2.293 * * [simplify]: Extracting #2: cost 11 inf + 2 2.293 * * [simplify]: Extracting #3: cost 13 inf + 3 2.293 * * [simplify]: Extracting #4: cost 11 inf + 45 2.294 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.294 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.294 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.294 * * * * [progress]: [ 25 / 133 ] simplifiying candidate # 2.295 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.295 * * [simplify]: iters left: 5 (7 enodes) 2.300 * * [simplify]: iters left: 4 (28 enodes) 2.309 * * [simplify]: iters left: 3 (39 enodes) 2.322 * * [simplify]: iters left: 2 (43 enodes) 2.335 * * [simplify]: Extracting #0: cost 1 inf + 0 2.335 * * [simplify]: Extracting #1: cost 7 inf + 0 2.335 * * [simplify]: Extracting #2: cost 16 inf + 0 2.335 * * [simplify]: Extracting #3: cost 15 inf + 164 2.335 * * [simplify]: Extracting #4: cost 13 inf + 287 2.336 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.336 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.337 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.337 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.337 * * * * [progress]: [ 26 / 133 ] simplifiying candidate # 2.338 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.338 * * [simplify]: iters left: 5 (7 enodes) 2.342 * * [simplify]: iters left: 4 (28 enodes) 2.352 * * [simplify]: iters left: 3 (39 enodes) 2.364 * * [simplify]: iters left: 2 (43 enodes) 2.370 * * [simplify]: Extracting #0: cost 1 inf + 0 2.370 * * [simplify]: Extracting #1: cost 7 inf + 0 2.370 * * [simplify]: Extracting #2: cost 16 inf + 0 2.370 * * [simplify]: Extracting #3: cost 15 inf + 84 2.370 * * [simplify]: Extracting #4: cost 13 inf + 167 2.370 * * [simplify]: Extracting #5: cost 5 inf + 900 2.371 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.371 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.371 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.371 * * * * [progress]: [ 27 / 133 ] simplifiying candidate # 2.372 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.372 * * [simplify]: iters left: 5 (6 enodes) 2.374 * * [simplify]: iters left: 4 (26 enodes) 2.378 * * [simplify]: iters left: 3 (35 enodes) 2.384 * * [simplify]: Extracting #0: cost 1 inf + 0 2.384 * * [simplify]: Extracting #1: cost 6 inf + 0 2.384 * * [simplify]: Extracting #2: cost 9 inf + 2 2.384 * * [simplify]: Extracting #3: cost 11 inf + 3 2.384 * * [simplify]: Extracting #4: cost 10 inf + 4 2.384 * * [simplify]: Extracting #5: cost 3 inf + 535 2.385 * * [simplify]: Extracting #6: cost 0 inf + 822 2.385 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.385 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.385 * * * * [progress]: [ 28 / 133 ] simplifiying candidate # 2.385 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.385 * * [simplify]: iters left: 4 (6 enodes) 2.387 * * [simplify]: iters left: 3 (25 enodes) 2.392 * * [simplify]: iters left: 2 (36 enodes) 2.400 * * [simplify]: iters left: 1 (40 enodes) 2.412 * * [simplify]: Extracting #0: cost 1 inf + 0 2.412 * * [simplify]: Extracting #1: cost 7 inf + 0 2.412 * * [simplify]: Extracting #2: cost 16 inf + 0 2.412 * * [simplify]: Extracting #3: cost 13 inf + 44 2.412 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.413 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.413 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.413 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.414 * * * * [progress]: [ 29 / 133 ] simplifiying candidate # 2.414 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.414 * * [simplify]: iters left: 4 (6 enodes) 2.418 * * [simplify]: iters left: 3 (25 enodes) 2.429 * * [simplify]: iters left: 2 (36 enodes) 2.434 * * [simplify]: iters left: 1 (40 enodes) 2.440 * * [simplify]: Extracting #0: cost 1 inf + 0 2.441 * * [simplify]: Extracting #1: cost 7 inf + 0 2.441 * * [simplify]: Extracting #2: cost 16 inf + 0 2.441 * * [simplify]: Extracting #3: cost 13 inf + 44 2.441 * * [simplify]: Extracting #4: cost 3 inf + 823 2.441 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.441 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.441 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.442 * * * * [progress]: [ 30 / 133 ] simplifiying candidate # 2.442 * [simplify]: Simplifying (/ (- 1 k) 2) 2.442 * * [simplify]: iters left: 4 (5 enodes) 2.444 * * [simplify]: iters left: 3 (23 enodes) 2.448 * * [simplify]: iters left: 2 (32 enodes) 2.453 * * [simplify]: Extracting #0: cost 1 inf + 0 2.453 * * [simplify]: Extracting #1: cost 6 inf + 0 2.453 * * [simplify]: Extracting #2: cost 9 inf + 2 2.453 * * [simplify]: Extracting #3: cost 6 inf + 87 2.454 * * [simplify]: Extracting #4: cost 0 inf + 420 2.454 * [simplify]: Simplified to (/ (- 1 k) 2) 2.454 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.454 * * * * [progress]: [ 31 / 133 ] simplifiying candidate # 2.454 * [simplify]: Simplifying (/ (- 1 k) 2) 2.454 * * [simplify]: iters left: 4 (5 enodes) 2.456 * * [simplify]: iters left: 3 (23 enodes) 2.460 * * [simplify]: iters left: 2 (32 enodes) 2.467 * * [simplify]: Extracting #0: cost 1 inf + 0 2.467 * * [simplify]: Extracting #1: cost 6 inf + 0 2.467 * * [simplify]: Extracting #2: cost 9 inf + 2 2.467 * * [simplify]: Extracting #3: cost 6 inf + 87 2.468 * * [simplify]: Extracting #4: cost 0 inf + 420 2.468 * [simplify]: Simplified to (/ (- 1 k) 2) 2.468 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 2.468 * * * * [progress]: [ 32 / 133 ] simplifiying candidate # 2.468 * [simplify]: Simplifying (/ 1 2) 2.469 * * [simplify]: iters left: 2 (3 enodes) 2.471 * * [simplify]: iters left: 1 (12 enodes) 2.476 * * [simplify]: Extracting #0: cost 1 inf + 0 2.476 * * [simplify]: Extracting #1: cost 0 inf + 1 2.476 * [simplify]: Simplified to 1/2 2.476 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 2.476 * * * * [progress]: [ 33 / 133 ] simplifiying candidate # 2.477 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 2.477 * * [simplify]: iters left: 5 (7 enodes) 2.481 * * [simplify]: iters left: 4 (32 enodes) 2.493 * * [simplify]: iters left: 3 (57 enodes) 2.511 * * [simplify]: iters left: 2 (88 enodes) 2.545 * * [simplify]: iters left: 1 (156 enodes) 2.607 * * [simplify]: Extracting #0: cost 1 inf + 0 2.607 * * [simplify]: Extracting #1: cost 13 inf + 0 2.608 * * [simplify]: Extracting #2: cost 49 inf + 2 2.608 * * [simplify]: Extracting #3: cost 80 inf + 6 2.609 * * [simplify]: Extracting #4: cost 58 inf + 1840 2.612 * * [simplify]: Extracting #5: cost 22 inf + 9206 2.618 * * [simplify]: Extracting #6: cost 1 inf + 20886 2.623 * * [simplify]: Extracting #7: cost 0 inf + 21301 2.627 * * [simplify]: Extracting #8: cost 0 inf + 21130 2.630 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 2.630 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 2.630 * * * * [progress]: [ 34 / 133 ] simplifiying candidate # 2.630 * * * * [progress]: [ 35 / 133 ] simplifiying candidate # 2.630 * * * * [progress]: [ 36 / 133 ] simplifiying candidate # 2.630 * * * * [progress]: [ 37 / 133 ] simplifiying candidate # 2.630 * * * * [progress]: [ 38 / 133 ] simplifiying candidate # 2.630 * * * * [progress]: [ 39 / 133 ] simplifiying candidate # 2.630 * * * * [progress]: [ 40 / 133 ] simplifiying candidate # 2.630 * * * * [progress]: [ 41 / 133 ] simplifiying candidate # 2.631 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 2.631 * * * * [progress]: [ 43 / 133 ] simplifiying candidate # 2.631 * * * * [progress]: [ 44 / 133 ] simplifiying candidate # 2.631 * * * * [progress]: [ 45 / 133 ] simplifiying candidate # 2.631 * [simplify]: Simplifying (* n (* 2 PI)) 2.631 * * [simplify]: iters left: 4 (5 enodes) 2.633 * * [simplify]: iters left: 3 (19 enodes) 2.636 * * [simplify]: iters left: 2 (27 enodes) 2.640 * * [simplify]: iters left: 1 (32 enodes) 2.645 * * [simplify]: Extracting #0: cost 1 inf + 0 2.645 * * [simplify]: Extracting #1: cost 8 inf + 0 2.645 * * [simplify]: Extracting #2: cost 7 inf + 45 2.645 * * [simplify]: Extracting #3: cost 0 inf + 421 2.645 * [simplify]: Simplified to (* (* PI 2) n) 2.645 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.646 * * * * [progress]: [ 46 / 133 ] simplifiying candidate # 2.646 * [simplify]: Simplifying (* n (* 2 PI)) 2.646 * * [simplify]: iters left: 4 (5 enodes) 2.647 * * [simplify]: iters left: 3 (19 enodes) 2.651 * * [simplify]: iters left: 2 (27 enodes) 2.655 * * [simplify]: iters left: 1 (32 enodes) 2.662 * * [simplify]: Extracting #0: cost 1 inf + 0 2.662 * * [simplify]: Extracting #1: cost 8 inf + 0 2.662 * * [simplify]: Extracting #2: cost 7 inf + 45 2.663 * * [simplify]: Extracting #3: cost 0 inf + 421 2.663 * [simplify]: Simplified to (* (* PI 2) n) 2.663 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.663 * * * * [progress]: [ 47 / 133 ] simplifiying candidate # 2.663 * * * * [progress]: [ 48 / 133 ] simplifiying candidate # 2.663 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 2.664 * * [simplify]: iters left: 5 (8 enodes) 2.668 * * [simplify]: iters left: 4 (28 enodes) 2.676 * * [simplify]: iters left: 3 (36 enodes) 2.687 * * [simplify]: iters left: 2 (42 enodes) 2.694 * * [simplify]: Extracting #0: cost 1 inf + 0 2.695 * * [simplify]: Extracting #1: cost 8 inf + 0 2.695 * * [simplify]: Extracting #2: cost 17 inf + 0 2.695 * * [simplify]: Extracting #3: cost 12 inf + 145 2.695 * * [simplify]: Extracting #4: cost 5 inf + 1197 2.695 * * [simplify]: Extracting #5: cost 1 inf + 1925 2.696 * * [simplify]: Extracting #6: cost 0 inf + 2107 2.696 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 2.696 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.696 * * * * [progress]: [ 49 / 133 ] simplifiying candidate # 2.696 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 2.696 * * [simplify]: iters left: 5 (7 enodes) 2.698 * * [simplify]: iters left: 4 (26 enodes) 2.702 * * [simplify]: iters left: 3 (35 enodes) 2.708 * * [simplify]: iters left: 2 (44 enodes) 2.714 * * [simplify]: Extracting #0: cost 1 inf + 0 2.714 * * [simplify]: Extracting #1: cost 8 inf + 0 2.714 * * [simplify]: Extracting #2: cost 18 inf + 0 2.714 * * [simplify]: Extracting #3: cost 15 inf + 74 2.714 * * [simplify]: Extracting #4: cost 8 inf + 554 2.715 * * [simplify]: Extracting #5: cost 0 inf + 1911 2.715 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 2.715 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.715 * * * * [progress]: [ 50 / 133 ] simplifiying candidate # 2.715 * * * * [progress]: [ 51 / 133 ] simplifiying candidate # 2.715 * * * * [progress]: [ 52 / 133 ] simplifiying candidate # 2.715 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 2.716 * * [simplify]: iters left: 6 (11 enodes) 2.720 * * [simplify]: iters left: 5 (48 enodes) 2.736 * * [simplify]: iters left: 4 (121 enodes) 2.767 * * [simplify]: iters left: 3 (348 enodes) 3.019 * * [simplify]: Extracting #0: cost 1 inf + 0 3.019 * * [simplify]: Extracting #1: cost 67 inf + 0 3.021 * * [simplify]: Extracting #2: cost 165 inf + 786 3.027 * * [simplify]: Extracting #3: cost 85 inf + 10177 3.039 * * [simplify]: Extracting #4: cost 9 inf + 26399 3.058 * * [simplify]: Extracting #5: cost 0 inf + 28546 3.071 * * [simplify]: Extracting #6: cost 0 inf + 28506 3.085 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 3.085 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 3.085 * * * * [progress]: [ 53 / 133 ] simplifiying candidate # 3.085 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 3.086 * * [simplify]: iters left: 6 (9 enodes) 3.092 * * [simplify]: iters left: 5 (45 enodes) 3.110 * * [simplify]: iters left: 4 (117 enodes) 3.176 * * [simplify]: iters left: 3 (374 enodes) 3.502 * * [simplify]: Extracting #0: cost 1 inf + 0 3.502 * * [simplify]: Extracting #1: cost 77 inf + 0 3.503 * * [simplify]: Extracting #2: cost 184 inf + 984 3.507 * * [simplify]: Extracting #3: cost 106 inf + 11690 3.528 * * [simplify]: Extracting #4: cost 6 inf + 30376 3.538 * * [simplify]: Extracting #5: cost 0 inf + 31644 3.549 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 3.549 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 3.549 * * * * [progress]: [ 54 / 133 ] simplifiying candidate # 3.549 * * * * [progress]: [ 55 / 133 ] simplifiying candidate # 3.549 * * * * [progress]: [ 56 / 133 ] simplifiying candidate # 3.549 * * * * [progress]: [ 57 / 133 ] simplifiying candidate # 3.549 * * * * [progress]: [ 58 / 133 ] simplifiying candidate # 3.549 * * * * [progress]: [ 59 / 133 ] simplifiying candidate # 3.549 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 3.549 * * [simplify]: iters left: 3 (3 enodes) 3.550 * * [simplify]: iters left: 2 (9 enodes) 3.551 * * [simplify]: Extracting #0: cost 1 inf + 0 3.551 * * [simplify]: Extracting #1: cost 3 inf + 0 3.551 * * [simplify]: Extracting #2: cost 5 inf + 0 3.551 * * [simplify]: Extracting #3: cost 4 inf + 1 3.551 * * [simplify]: Extracting #4: cost 0 inf + 405 3.551 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 3.551 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.552 * * * * [progress]: [ 60 / 133 ] simplifiying candidate # 3.552 * [simplify]: Simplifying (sqrt n) 3.552 * * [simplify]: iters left: 1 (2 enodes) 3.552 * * [simplify]: Extracting #0: cost 1 inf + 0 3.552 * * [simplify]: Extracting #1: cost 3 inf + 0 3.552 * * [simplify]: Extracting #2: cost 2 inf + 1 3.552 * * [simplify]: Extracting #3: cost 0 inf + 83 3.553 * [simplify]: Simplified to (sqrt n) 3.553 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.553 * * * * [progress]: [ 61 / 133 ] simplifiying candidate # 3.553 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 3.553 * * * * [progress]: [ 63 / 133 ] simplifiying candidate # 3.553 * * * * [progress]: [ 64 / 133 ] simplifiying candidate # 3.553 * * * * [progress]: [ 65 / 133 ] simplifiying candidate # 3.553 * * * * [progress]: [ 66 / 133 ] simplifiying candidate # 3.553 * * * * [progress]: [ 67 / 133 ] simplifiying candidate # 3.553 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.553 * * [simplify]: iters left: 6 (16 enodes) 3.558 * * [simplify]: iters left: 5 (66 enodes) 3.571 * * [simplify]: iters left: 4 (113 enodes) 3.620 * * [simplify]: iters left: 3 (306 enodes) 3.780 * * [simplify]: Extracting #0: cost 1 inf + 0 3.780 * * [simplify]: Extracting #1: cost 33 inf + 0 3.781 * * [simplify]: Extracting #2: cost 89 inf + 0 3.781 * * [simplify]: Extracting #3: cost 132 inf + 603 3.783 * * [simplify]: Extracting #4: cost 115 inf + 7823 3.791 * * [simplify]: Extracting #5: cost 21 inf + 36693 3.801 * * [simplify]: Extracting #6: cost 0 inf + 43786 3.812 * * [simplify]: Extracting #7: cost 0 inf + 43785 3.822 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 3.822 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))))) 3.822 * * * * [progress]: [ 68 / 133 ] simplifiying candidate # 3.823 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.823 * * [simplify]: iters left: 6 (15 enodes) 3.830 * * [simplify]: iters left: 5 (64 enodes) 3.851 * * [simplify]: iters left: 4 (106 enodes) 3.894 * * [simplify]: iters left: 3 (247 enodes) 3.999 * * [simplify]: Extracting #0: cost 1 inf + 0 3.999 * * [simplify]: Extracting #1: cost 29 inf + 0 3.999 * * [simplify]: Extracting #2: cost 82 inf + 0 4.000 * * [simplify]: Extracting #3: cost 122 inf + 147 4.000 * * [simplify]: Extracting #4: cost 128 inf + 2275 4.004 * * [simplify]: Extracting #5: cost 42 inf + 21718 4.017 * * [simplify]: Extracting #6: cost 4 inf + 33778 4.032 * * [simplify]: Extracting #7: cost 0 inf + 35144 4.040 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 4.040 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 4.040 * * * * [progress]: [ 69 / 133 ] simplifiying candidate # 4.041 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.041 * * [simplify]: iters left: 6 (14 enodes) 4.048 * * [simplify]: iters left: 5 (63 enodes) 4.059 * * [simplify]: iters left: 4 (113 enodes) 4.096 * * [simplify]: iters left: 3 (229 enodes) 4.180 * * [simplify]: Extracting #0: cost 1 inf + 0 4.181 * * [simplify]: Extracting #1: cost 23 inf + 0 4.181 * * [simplify]: Extracting #2: cost 83 inf + 0 4.181 * * [simplify]: Extracting #3: cost 120 inf + 284 4.182 * * [simplify]: Extracting #4: cost 111 inf + 4879 4.187 * * [simplify]: Extracting #5: cost 26 inf + 24636 4.195 * * [simplify]: Extracting #6: cost 0 inf + 31546 4.202 * * [simplify]: Extracting #7: cost 0 inf + 31046 4.217 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.217 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.217 * * * * [progress]: [ 70 / 133 ] simplifiying candidate # 4.217 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.217 * * [simplify]: iters left: 6 (14 enodes) 4.225 * * [simplify]: iters left: 5 (63 enodes) 4.248 * * [simplify]: iters left: 4 (113 enodes) 4.293 * * [simplify]: iters left: 3 (229 enodes) 4.411 * * [simplify]: Extracting #0: cost 1 inf + 0 4.411 * * [simplify]: Extracting #1: cost 23 inf + 0 4.412 * * [simplify]: Extracting #2: cost 83 inf + 0 4.413 * * [simplify]: Extracting #3: cost 120 inf + 284 4.415 * * [simplify]: Extracting #4: cost 111 inf + 4879 4.419 * * [simplify]: Extracting #5: cost 26 inf + 24636 4.427 * * [simplify]: Extracting #6: cost 0 inf + 31546 4.434 * * [simplify]: Extracting #7: cost 0 inf + 31046 4.442 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.442 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.442 * * * * [progress]: [ 71 / 133 ] simplifiying candidate # 4.442 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.442 * * [simplify]: iters left: 6 (14 enodes) 4.450 * * [simplify]: iters left: 5 (61 enodes) 4.470 * * [simplify]: iters left: 4 (112 enodes) 4.508 * * [simplify]: iters left: 3 (219 enodes) 4.576 * * [simplify]: Extracting #0: cost 1 inf + 0 4.576 * * [simplify]: Extracting #1: cost 24 inf + 0 4.577 * * [simplify]: Extracting #2: cost 109 inf + 0 4.578 * * [simplify]: Extracting #3: cost 171 inf + 75 4.579 * * [simplify]: Extracting #4: cost 167 inf + 904 4.584 * * [simplify]: Extracting #5: cost 91 inf + 14562 4.597 * * [simplify]: Extracting #6: cost 10 inf + 36286 4.612 * * [simplify]: Extracting #7: cost 0 inf + 40306 4.627 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 4.627 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 4.627 * * * * [progress]: [ 72 / 133 ] simplifiying candidate # 4.627 * * * * [progress]: [ 73 / 133 ] simplifiying candidate # 4.627 * * * * [progress]: [ 74 / 133 ] simplifiying candidate # 4.627 * [simplify]: Simplifying (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 4.628 * * [simplify]: iters left: 6 (16 enodes) 4.640 * * [simplify]: iters left: 5 (72 enodes) 4.667 * * [simplify]: iters left: 4 (165 enodes) 4.732 * * [simplify]: iters left: 3 (474 enodes) 5.003 * * [simplify]: Extracting #0: cost 1 inf + 0 5.004 * * [simplify]: Extracting #1: cost 172 inf + 0 5.006 * * [simplify]: Extracting #2: cost 449 inf + 1 5.010 * * [simplify]: Extracting #3: cost 500 inf + 248 5.014 * * [simplify]: Extracting #4: cost 485 inf + 2081 5.029 * * [simplify]: Extracting #5: cost 365 inf + 63723 5.077 * * [simplify]: Extracting #6: cost 66 inf + 281431 5.141 * * [simplify]: Extracting #7: cost 0 inf + 324121 5.207 * * [simplify]: Extracting #8: cost 0 inf + 321869 5.289 * [simplify]: Simplified to (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 5.289 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 5.289 * * * * [progress]: [ 75 / 133 ] simplifiying candidate # 5.289 * * * * [progress]: [ 76 / 133 ] simplifiying candidate # 5.289 * * * * [progress]: [ 77 / 133 ] simplifiying candidate # 5.289 * * * * [progress]: [ 78 / 133 ] simplifiying candidate # 5.290 * * * * [progress]: [ 79 / 133 ] simplifiying candidate # 5.290 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.290 * * [simplify]: iters left: 6 (11 enodes) 5.294 * * [simplify]: iters left: 5 (46 enodes) 5.302 * * [simplify]: iters left: 4 (79 enodes) 5.316 * * [simplify]: iters left: 3 (135 enodes) 5.350 * * [simplify]: iters left: 2 (270 enodes) 5.462 * * [simplify]: Extracting #0: cost 1 inf + 0 5.462 * * [simplify]: Extracting #1: cost 56 inf + 0 5.463 * * [simplify]: Extracting #2: cost 151 inf + 0 5.464 * * [simplify]: Extracting #3: cost 211 inf + 3 5.467 * * [simplify]: Extracting #4: cost 182 inf + 8248 5.477 * * [simplify]: Extracting #5: cost 108 inf + 32321 5.496 * * [simplify]: Extracting #6: cost 40 inf + 73343 5.524 * * [simplify]: Extracting #7: cost 0 inf + 103841 5.552 * * [simplify]: Extracting #8: cost 0 inf + 103639 5.579 * * [simplify]: Extracting #9: cost 0 inf + 103517 5.610 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.610 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 5.611 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 5.611 * * [simplify]: iters left: 6 (11 enodes) 5.617 * * [simplify]: iters left: 5 (45 enodes) 5.633 * * [simplify]: iters left: 4 (68 enodes) 5.650 * * [simplify]: iters left: 3 (110 enodes) 5.672 * * [simplify]: iters left: 2 (217 enodes) 5.754 * * [simplify]: iters left: 1 (458 enodes) 5.898 * * [simplify]: Extracting #0: cost 1 inf + 0 5.898 * * [simplify]: Extracting #1: cost 45 inf + 0 5.899 * * [simplify]: Extracting #2: cost 132 inf + 0 5.901 * * [simplify]: Extracting #3: cost 212 inf + 3 5.903 * * [simplify]: Extracting #4: cost 213 inf + 801 5.909 * * [simplify]: Extracting #5: cost 140 inf + 15314 5.934 * * [simplify]: Extracting #6: cost 26 inf + 94405 5.969 * * [simplify]: Extracting #7: cost 0 inf + 113797 6.007 * * [simplify]: Extracting #8: cost 0 inf + 112990 6.040 * * [simplify]: Extracting #9: cost 0 inf + 111447 6.058 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 6.058 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 6.058 * * * * [progress]: [ 80 / 133 ] simplifiying candidate # 6.058 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 6.058 * * [simplify]: iters left: 6 (11 enodes) 6.062 * * [simplify]: iters left: 5 (45 enodes) 6.072 * * [simplify]: iters left: 4 (72 enodes) 6.095 * * [simplify]: iters left: 3 (113 enodes) 6.115 * * [simplify]: iters left: 2 (202 enodes) 6.178 * * [simplify]: iters left: 1 (423 enodes) 6.368 * * [simplify]: Extracting #0: cost 1 inf + 0 6.368 * * [simplify]: Extracting #1: cost 45 inf + 0 6.369 * * [simplify]: Extracting #2: cost 135 inf + 0 6.370 * * [simplify]: Extracting #3: cost 200 inf + 4 6.373 * * [simplify]: Extracting #4: cost 178 inf + 4357 6.383 * * [simplify]: Extracting #5: cost 104 inf + 31155 6.403 * * [simplify]: Extracting #6: cost 30 inf + 80538 6.421 * * [simplify]: Extracting #7: cost 0 inf + 106837 6.436 * * [simplify]: Extracting #8: cost 0 inf + 104726 6.461 * * [simplify]: Extracting #9: cost 0 inf + 104144 6.484 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 6.484 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 6.484 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 6.484 * * [simplify]: iters left: 6 (11 enodes) 6.488 * * [simplify]: iters left: 5 (45 enodes) 6.495 * * [simplify]: iters left: 4 (68 enodes) 6.508 * * [simplify]: iters left: 3 (110 enodes) 6.552 * * [simplify]: iters left: 2 (217 enodes) 6.617 * * [simplify]: iters left: 1 (458 enodes) 6.856 * * [simplify]: Extracting #0: cost 1 inf + 0 6.857 * * [simplify]: Extracting #1: cost 45 inf + 0 6.858 * * [simplify]: Extracting #2: cost 132 inf + 0 6.859 * * [simplify]: Extracting #3: cost 212 inf + 3 6.861 * * [simplify]: Extracting #4: cost 213 inf + 841 6.868 * * [simplify]: Extracting #5: cost 140 inf + 15394 6.898 * * [simplify]: Extracting #6: cost 26 inf + 94485 6.920 * * [simplify]: Extracting #7: cost 0 inf + 113877 6.938 * * [simplify]: Extracting #8: cost 0 inf + 113070 6.973 * * [simplify]: Extracting #9: cost 0 inf + 111527 7.001 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 7.001 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 7.001 * * * * [progress]: [ 81 / 133 ] simplifiying candidate # 7.001 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.001 * * [simplify]: iters left: 6 (10 enodes) 7.005 * * [simplify]: iters left: 5 (41 enodes) 7.015 * * [simplify]: iters left: 4 (68 enodes) 7.026 * * [simplify]: iters left: 3 (109 enodes) 7.065 * * [simplify]: iters left: 2 (194 enodes) 7.143 * * [simplify]: iters left: 1 (414 enodes) 7.384 * * [simplify]: Extracting #0: cost 1 inf + 0 7.384 * * [simplify]: Extracting #1: cost 45 inf + 0 7.385 * * [simplify]: Extracting #2: cost 141 inf + 0 7.387 * * [simplify]: Extracting #3: cost 206 inf + 4 7.388 * * [simplify]: Extracting #4: cost 180 inf + 9439 7.394 * * [simplify]: Extracting #5: cost 108 inf + 27286 7.406 * * [simplify]: Extracting #6: cost 36 inf + 72454 7.430 * * [simplify]: Extracting #7: cost 0 inf + 101831 7.463 * * [simplify]: Extracting #8: cost 0 inf + 101671 7.496 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.496 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 7.496 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.497 * * [simplify]: iters left: 6 (11 enodes) 7.503 * * [simplify]: iters left: 5 (45 enodes) 7.522 * * [simplify]: iters left: 4 (68 enodes) 7.542 * * [simplify]: iters left: 3 (110 enodes) 7.576 * * [simplify]: iters left: 2 (217 enodes) 7.637 * * [simplify]: iters left: 1 (458 enodes) 7.840 * * [simplify]: Extracting #0: cost 1 inf + 0 7.840 * * [simplify]: Extracting #1: cost 45 inf + 0 7.841 * * [simplify]: Extracting #2: cost 132 inf + 0 7.842 * * [simplify]: Extracting #3: cost 212 inf + 3 7.843 * * [simplify]: Extracting #4: cost 213 inf + 761 7.846 * * [simplify]: Extracting #5: cost 140 inf + 15034 7.859 * * [simplify]: Extracting #6: cost 26 inf + 92245 7.877 * * [simplify]: Extracting #7: cost 0 inf + 111037 7.895 * * [simplify]: Extracting #8: cost 0 inf + 110230 7.915 * * [simplify]: Extracting #9: cost 0 inf + 108687 7.933 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 7.933 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 7.933 * * * * [progress]: [ 82 / 133 ] simplifiying candidate # 7.934 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 7.934 * * [simplify]: iters left: 6 (9 enodes) 7.937 * * [simplify]: iters left: 5 (38 enodes) 7.945 * * [simplify]: iters left: 4 (63 enodes) 7.957 * * [simplify]: iters left: 3 (100 enodes) 7.990 * * [simplify]: iters left: 2 (175 enodes) 8.046 * * [simplify]: iters left: 1 (360 enodes) 8.211 * * [simplify]: Extracting #0: cost 1 inf + 0 8.211 * * [simplify]: Extracting #1: cost 52 inf + 0 8.211 * * [simplify]: Extracting #2: cost 150 inf + 3 8.212 * * [simplify]: Extracting #3: cost 190 inf + 8 8.214 * * [simplify]: Extracting #4: cost 161 inf + 3039 8.216 * * [simplify]: Extracting #5: cost 116 inf + 9850 8.224 * * [simplify]: Extracting #6: cost 35 inf + 60283 8.237 * * [simplify]: Extracting #7: cost 2 inf + 86206 8.261 * * [simplify]: Extracting #8: cost 0 inf + 87719 8.288 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 8.288 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 8.289 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 8.289 * * [simplify]: iters left: 6 (10 enodes) 8.295 * * [simplify]: iters left: 5 (42 enodes) 8.314 * * [simplify]: iters left: 4 (65 enodes) 8.335 * * [simplify]: iters left: 3 (104 enodes) 8.362 * * [simplify]: iters left: 2 (206 enodes) 8.408 * * [simplify]: iters left: 1 (435 enodes) 8.609 * * [simplify]: Extracting #0: cost 1 inf + 0 8.609 * * [simplify]: Extracting #1: cost 47 inf + 0 8.610 * * [simplify]: Extracting #2: cost 137 inf + 0 8.612 * * [simplify]: Extracting #3: cost 210 inf + 45 8.614 * * [simplify]: Extracting #4: cost 204 inf + 1134 8.619 * * [simplify]: Extracting #5: cost 148 inf + 9351 8.634 * * [simplify]: Extracting #6: cost 67 inf + 53607 8.664 * * [simplify]: Extracting #7: cost 1 inf + 112920 8.696 * * [simplify]: Extracting #8: cost 0 inf + 111430 8.717 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 8.717 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 8.717 * * * * [progress]: [ 83 / 133 ] simplifiying candidate # 8.717 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.717 * * [simplify]: iters left: 6 (10 enodes) 8.721 * * [simplify]: iters left: 5 (41 enodes) 8.729 * * [simplify]: iters left: 4 (68 enodes) 8.749 * * [simplify]: iters left: 3 (109 enodes) 8.787 * * [simplify]: iters left: 2 (194 enodes) 8.863 * * [simplify]: iters left: 1 (414 enodes) 9.042 * * [simplify]: Extracting #0: cost 1 inf + 0 9.043 * * [simplify]: Extracting #1: cost 45 inf + 0 9.043 * * [simplify]: Extracting #2: cost 141 inf + 0 9.047 * * [simplify]: Extracting #3: cost 206 inf + 4 9.049 * * [simplify]: Extracting #4: cost 180 inf + 9439 9.054 * * [simplify]: Extracting #5: cost 108 inf + 27286 9.066 * * [simplify]: Extracting #6: cost 36 inf + 72454 9.094 * * [simplify]: Extracting #7: cost 0 inf + 101831 9.127 * * [simplify]: Extracting #8: cost 0 inf + 101671 9.159 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.159 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 9.160 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.160 * * [simplify]: iters left: 6 (11 enodes) 9.167 * * [simplify]: iters left: 5 (45 enodes) 9.179 * * [simplify]: iters left: 4 (68 enodes) 9.193 * * [simplify]: iters left: 3 (110 enodes) 9.223 * * [simplify]: iters left: 2 (217 enodes) 9.309 * * [simplify]: iters left: 1 (458 enodes) 9.516 * * [simplify]: Extracting #0: cost 1 inf + 0 9.516 * * [simplify]: Extracting #1: cost 45 inf + 0 9.517 * * [simplify]: Extracting #2: cost 132 inf + 0 9.517 * * [simplify]: Extracting #3: cost 212 inf + 3 9.519 * * [simplify]: Extracting #4: cost 213 inf + 761 9.522 * * [simplify]: Extracting #5: cost 140 inf + 15034 9.535 * * [simplify]: Extracting #6: cost 26 inf + 92245 9.565 * * [simplify]: Extracting #7: cost 0 inf + 111037 9.599 * * [simplify]: Extracting #8: cost 0 inf + 110230 9.617 * * [simplify]: Extracting #9: cost 0 inf + 108687 9.644 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 9.644 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 9.644 * * * * [progress]: [ 84 / 133 ] simplifiying candidate # 9.644 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 9.644 * * [simplify]: iters left: 6 (8 enodes) 9.647 * * [simplify]: iters left: 5 (33 enodes) 9.653 * * [simplify]: iters left: 4 (56 enodes) 9.664 * * [simplify]: iters left: 3 (98 enodes) 9.697 * * [simplify]: iters left: 2 (203 enodes) 9.756 * * [simplify]: iters left: 1 (443 enodes) 9.987 * * [simplify]: Extracting #0: cost 1 inf + 0 9.987 * * [simplify]: Extracting #1: cost 47 inf + 0 9.989 * * [simplify]: Extracting #2: cost 155 inf + 3 9.990 * * [simplify]: Extracting #3: cost 207 inf + 8 9.993 * * [simplify]: Extracting #4: cost 189 inf + 2296 10.000 * * [simplify]: Extracting #5: cost 112 inf + 20090 10.020 * * [simplify]: Extracting #6: cost 19 inf + 81064 10.037 * * [simplify]: Extracting #7: cost 0 inf + 94833 10.066 * * [simplify]: Extracting #8: cost 0 inf + 93433 10.089 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 10.089 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 10.089 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 10.089 * * [simplify]: iters left: 6 (10 enodes) 10.093 * * [simplify]: iters left: 5 (42 enodes) 10.103 * * [simplify]: iters left: 4 (65 enodes) 10.122 * * [simplify]: iters left: 3 (104 enodes) 10.161 * * [simplify]: iters left: 2 (206 enodes) 10.215 * * [simplify]: iters left: 1 (435 enodes) 10.439 * * [simplify]: Extracting #0: cost 1 inf + 0 10.439 * * [simplify]: Extracting #1: cost 47 inf + 0 10.440 * * [simplify]: Extracting #2: cost 137 inf + 0 10.441 * * [simplify]: Extracting #3: cost 210 inf + 45 10.443 * * [simplify]: Extracting #4: cost 204 inf + 1134 10.448 * * [simplify]: Extracting #5: cost 148 inf + 9351 10.463 * * [simplify]: Extracting #6: cost 67 inf + 53607 10.488 * * [simplify]: Extracting #7: cost 1 inf + 112920 10.505 * * [simplify]: Extracting #8: cost 0 inf + 111430 10.532 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 10.532 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 10.533 * * * * [progress]: [ 85 / 133 ] simplifiying candidate # 10.533 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 10.533 * * [simplify]: iters left: 6 (16 enodes) 10.543 * * [simplify]: iters left: 5 (69 enodes) 10.570 * * [simplify]: iters left: 4 (117 enodes) 10.607 * * [simplify]: iters left: 3 (164 enodes) 10.659 * * [simplify]: iters left: 2 (236 enodes) 10.741 * * [simplify]: iters left: 1 (387 enodes) 10.863 * * [simplify]: Extracting #0: cost 1 inf + 0 10.864 * * [simplify]: Extracting #1: cost 11 inf + 0 10.864 * * [simplify]: Extracting #2: cost 22 inf + 0 10.864 * * [simplify]: Extracting #3: cost 48 inf + 0 10.865 * * [simplify]: Extracting #4: cost 120 inf + 2 10.866 * * [simplify]: Extracting #5: cost 150 inf + 787 10.869 * * [simplify]: Extracting #6: cost 110 inf + 5219 10.878 * * [simplify]: Extracting #7: cost 48 inf + 27777 10.896 * * [simplify]: Extracting #8: cost 12 inf + 58840 10.923 * * [simplify]: Extracting #9: cost 0 inf + 68408 10.944 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 10.944 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 10.944 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 10.944 * * [simplify]: iters left: 6 (14 enodes) 10.949 * * [simplify]: iters left: 5 (57 enodes) 10.959 * * [simplify]: iters left: 4 (90 enodes) 10.979 * * [simplify]: iters left: 3 (127 enodes) 11.020 * * [simplify]: iters left: 2 (195 enodes) 11.065 * * [simplify]: iters left: 1 (356 enodes) 11.229 * * [simplify]: Extracting #0: cost 1 inf + 0 11.229 * * [simplify]: Extracting #1: cost 4 inf + 0 11.229 * * [simplify]: Extracting #2: cost 8 inf + 0 11.229 * * [simplify]: Extracting #3: cost 34 inf + 0 11.230 * * [simplify]: Extracting #4: cost 107 inf + 164 11.231 * * [simplify]: Extracting #5: cost 148 inf + 585 11.234 * * [simplify]: Extracting #6: cost 109 inf + 5352 11.243 * * [simplify]: Extracting #7: cost 45 inf + 27047 11.267 * * [simplify]: Extracting #8: cost 6 inf + 58672 11.291 * * [simplify]: Extracting #9: cost 0 inf + 62696 11.313 * * [simplify]: Extracting #10: cost 0 inf + 62192 11.336 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 11.336 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 11.336 * * * * [progress]: [ 86 / 133 ] simplifiying candidate # 11.336 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 11.336 * * [simplify]: iters left: 6 (16 enodes) 11.345 * * [simplify]: iters left: 5 (66 enodes) 11.366 * * [simplify]: iters left: 4 (103 enodes) 11.393 * * [simplify]: iters left: 3 (142 enodes) 11.421 * * [simplify]: iters left: 2 (210 enodes) 11.469 * * [simplify]: iters left: 1 (370 enodes) 11.589 * * [simplify]: Extracting #0: cost 1 inf + 0 11.589 * * [simplify]: Extracting #1: cost 7 inf + 0 11.589 * * [simplify]: Extracting #2: cost 15 inf + 0 11.590 * * [simplify]: Extracting #3: cost 43 inf + 0 11.590 * * [simplify]: Extracting #4: cost 113 inf + 204 11.592 * * [simplify]: Extracting #5: cost 145 inf + 907 11.595 * * [simplify]: Extracting #6: cost 114 inf + 4465 11.603 * * [simplify]: Extracting #7: cost 52 inf + 23940 11.619 * * [simplify]: Extracting #8: cost 13 inf + 52482 11.630 * * [simplify]: Extracting #9: cost 0 inf + 63276 11.640 * * [simplify]: Extracting #10: cost 0 inf + 62983 11.655 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 11.655 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 11.655 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 11.656 * * [simplify]: iters left: 6 (14 enodes) 11.663 * * [simplify]: iters left: 5 (57 enodes) 11.682 * * [simplify]: iters left: 4 (90 enodes) 11.713 * * [simplify]: iters left: 3 (127 enodes) 11.743 * * [simplify]: iters left: 2 (195 enodes) 11.789 * * [simplify]: iters left: 1 (356 enodes) 11.946 * * [simplify]: Extracting #0: cost 1 inf + 0 11.946 * * [simplify]: Extracting #1: cost 4 inf + 0 11.947 * * [simplify]: Extracting #2: cost 8 inf + 0 11.947 * * [simplify]: Extracting #3: cost 34 inf + 0 11.947 * * [simplify]: Extracting #4: cost 107 inf + 204 11.948 * * [simplify]: Extracting #5: cost 148 inf + 665 11.949 * * [simplify]: Extracting #6: cost 109 inf + 5432 11.954 * * [simplify]: Extracting #7: cost 45 inf + 27127 11.964 * * [simplify]: Extracting #8: cost 6 inf + 58752 11.976 * * [simplify]: Extracting #9: cost 0 inf + 62776 11.997 * * [simplify]: Extracting #10: cost 0 inf + 62272 12.021 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 12.021 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 12.021 * * * * [progress]: [ 87 / 133 ] simplifiying candidate # 12.021 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 12.022 * * [simplify]: iters left: 6 (15 enodes) 12.026 * * [simplify]: iters left: 5 (62 enodes) 12.037 * * [simplify]: iters left: 4 (99 enodes) 12.053 * * [simplify]: iters left: 3 (142 enodes) 12.077 * * [simplify]: iters left: 2 (215 enodes) 12.151 * * [simplify]: iters left: 1 (364 enodes) 12.295 * * [simplify]: Extracting #0: cost 1 inf + 0 12.296 * * [simplify]: Extracting #1: cost 7 inf + 0 12.296 * * [simplify]: Extracting #2: cost 14 inf + 0 12.296 * * [simplify]: Extracting #3: cost 41 inf + 0 12.296 * * [simplify]: Extracting #4: cost 107 inf + 165 12.297 * * [simplify]: Extracting #5: cost 134 inf + 713 12.299 * * [simplify]: Extracting #6: cost 89 inf + 7533 12.305 * * [simplify]: Extracting #7: cost 28 inf + 38261 12.322 * * [simplify]: Extracting #8: cost 0 inf + 60484 12.340 * * [simplify]: Extracting #9: cost 0 inf + 60062 12.352 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 12.352 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 12.353 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.353 * * [simplify]: iters left: 6 (14 enodes) 12.361 * * [simplify]: iters left: 5 (57 enodes) 12.380 * * [simplify]: iters left: 4 (90 enodes) 12.410 * * [simplify]: iters left: 3 (127 enodes) 12.452 * * [simplify]: iters left: 2 (195 enodes) 12.509 * * [simplify]: iters left: 1 (356 enodes) 12.647 * * [simplify]: Extracting #0: cost 1 inf + 0 12.647 * * [simplify]: Extracting #1: cost 4 inf + 0 12.647 * * [simplify]: Extracting #2: cost 8 inf + 0 12.647 * * [simplify]: Extracting #3: cost 34 inf + 0 12.648 * * [simplify]: Extracting #4: cost 107 inf + 124 12.649 * * [simplify]: Extracting #5: cost 148 inf + 505 12.655 * * [simplify]: Extracting #6: cost 109 inf + 5272 12.659 * * [simplify]: Extracting #7: cost 45 inf + 26887 12.670 * * [simplify]: Extracting #8: cost 6 inf + 58512 12.684 * * [simplify]: Extracting #9: cost 0 inf + 62536 12.701 * * [simplify]: Extracting #10: cost 0 inf + 62032 12.713 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 12.713 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 12.714 * * * * [progress]: [ 88 / 133 ] simplifiying candidate # 12.714 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 12.714 * * [simplify]: iters left: 6 (14 enodes) 12.719 * * [simplify]: iters left: 5 (59 enodes) 12.735 * * [simplify]: iters left: 4 (96 enodes) 12.761 * * [simplify]: iters left: 3 (136 enodes) 12.787 * * [simplify]: iters left: 2 (205 enodes) 12.830 * * [simplify]: iters left: 1 (370 enodes) 12.980 * * [simplify]: Extracting #0: cost 1 inf + 0 12.980 * * [simplify]: Extracting #1: cost 5 inf + 0 12.980 * * [simplify]: Extracting #2: cost 7 inf + 1 12.980 * * [simplify]: Extracting #3: cost 31 inf + 1 12.980 * * [simplify]: Extracting #4: cost 103 inf + 2 12.981 * * [simplify]: Extracting #5: cost 150 inf + 218 12.981 * * [simplify]: Extracting #6: cost 149 inf + 478 12.983 * * [simplify]: Extracting #7: cost 93 inf + 8914 12.992 * * [simplify]: Extracting #8: cost 27 inf + 33526 13.008 * * [simplify]: Extracting #9: cost 0 inf + 51357 13.035 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 13.036 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 13.036 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.036 * * [simplify]: iters left: 6 (13 enodes) 13.043 * * [simplify]: iters left: 5 (54 enodes) 13.061 * * [simplify]: iters left: 4 (87 enodes) 13.088 * * [simplify]: iters left: 3 (128 enodes) 13.134 * * [simplify]: iters left: 2 (197 enodes) 13.197 * * [simplify]: iters left: 1 (354 enodes) 13.302 * * [simplify]: Extracting #0: cost 1 inf + 0 13.302 * * [simplify]: Extracting #1: cost 4 inf + 0 13.302 * * [simplify]: Extracting #2: cost 8 inf + 0 13.302 * * [simplify]: Extracting #3: cost 28 inf + 83 13.303 * * [simplify]: Extracting #4: cost 105 inf + 84 13.303 * * [simplify]: Extracting #5: cost 139 inf + 384 13.304 * * [simplify]: Extracting #6: cost 103 inf + 5239 13.308 * * [simplify]: Extracting #7: cost 50 inf + 20824 13.316 * * [simplify]: Extracting #8: cost 15 inf + 47877 13.332 * * [simplify]: Extracting #9: cost 0 inf + 59693 13.346 * * [simplify]: Extracting #10: cost 0 inf + 59363 13.356 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 13.356 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 13.356 * * * * [progress]: [ 89 / 133 ] simplifiying candidate # 13.356 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 13.356 * * [simplify]: iters left: 6 (15 enodes) 13.361 * * [simplify]: iters left: 5 (62 enodes) 13.379 * * [simplify]: iters left: 4 (99 enodes) 13.412 * * [simplify]: iters left: 3 (142 enodes) 13.452 * * [simplify]: iters left: 2 (215 enodes) 13.509 * * [simplify]: iters left: 1 (364 enodes) 13.673 * * [simplify]: Extracting #0: cost 1 inf + 0 13.673 * * [simplify]: Extracting #1: cost 7 inf + 0 13.673 * * [simplify]: Extracting #2: cost 14 inf + 0 13.673 * * [simplify]: Extracting #3: cost 41 inf + 0 13.674 * * [simplify]: Extracting #4: cost 107 inf + 165 13.674 * * [simplify]: Extracting #5: cost 134 inf + 713 13.676 * * [simplify]: Extracting #6: cost 89 inf + 7533 13.682 * * [simplify]: Extracting #7: cost 28 inf + 38261 13.692 * * [simplify]: Extracting #8: cost 0 inf + 60484 13.703 * * [simplify]: Extracting #9: cost 0 inf + 60062 13.718 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 13.718 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 13.718 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.719 * * [simplify]: iters left: 6 (14 enodes) 13.730 * * [simplify]: iters left: 5 (57 enodes) 13.749 * * [simplify]: iters left: 4 (90 enodes) 13.778 * * [simplify]: iters left: 3 (127 enodes) 13.820 * * [simplify]: iters left: 2 (195 enodes) 13.868 * * [simplify]: iters left: 1 (356 enodes) 14.003 * * [simplify]: Extracting #0: cost 1 inf + 0 14.003 * * [simplify]: Extracting #1: cost 4 inf + 0 14.003 * * [simplify]: Extracting #2: cost 8 inf + 0 14.003 * * [simplify]: Extracting #3: cost 34 inf + 0 14.004 * * [simplify]: Extracting #4: cost 107 inf + 124 14.005 * * [simplify]: Extracting #5: cost 148 inf + 505 14.008 * * [simplify]: Extracting #6: cost 109 inf + 5272 14.017 * * [simplify]: Extracting #7: cost 45 inf + 26887 14.028 * * [simplify]: Extracting #8: cost 6 inf + 58512 14.043 * * [simplify]: Extracting #9: cost 0 inf + 62536 14.060 * * [simplify]: Extracting #10: cost 0 inf + 62032 14.082 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 14.082 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 14.083 * * * * [progress]: [ 90 / 133 ] simplifiying candidate # 14.083 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 14.083 * * [simplify]: iters left: 6 (13 enodes) 14.091 * * [simplify]: iters left: 5 (54 enodes) 14.111 * * [simplify]: iters left: 4 (95 enodes) 14.141 * * [simplify]: iters left: 3 (137 enodes) 14.179 * * [simplify]: iters left: 2 (206 enodes) 14.225 * * [simplify]: iters left: 1 (362 enodes) 14.338 * * [simplify]: Extracting #0: cost 1 inf + 0 14.338 * * [simplify]: Extracting #1: cost 5 inf + 0 14.338 * * [simplify]: Extracting #2: cost 7 inf + 1 14.338 * * [simplify]: Extracting #3: cost 32 inf + 1 14.339 * * [simplify]: Extracting #4: cost 110 inf + 2 14.339 * * [simplify]: Extracting #5: cost 158 inf + 176 14.340 * * [simplify]: Extracting #6: cost 151 inf + 644 14.343 * * [simplify]: Extracting #7: cost 91 inf + 10513 14.357 * * [simplify]: Extracting #8: cost 37 inf + 29756 14.369 * * [simplify]: Extracting #9: cost 0 inf + 59764 14.381 * * [simplify]: Extracting #10: cost 0 inf + 58856 14.400 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 14.400 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 14.400 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 14.401 * * [simplify]: iters left: 6 (13 enodes) 14.408 * * [simplify]: iters left: 5 (54 enodes) 14.427 * * [simplify]: iters left: 4 (87 enodes) 14.456 * * [simplify]: iters left: 3 (128 enodes) 14.480 * * [simplify]: iters left: 2 (197 enodes) 14.532 * * [simplify]: iters left: 1 (354 enodes) 14.698 * * [simplify]: Extracting #0: cost 1 inf + 0 14.698 * * [simplify]: Extracting #1: cost 4 inf + 0 14.698 * * [simplify]: Extracting #2: cost 8 inf + 0 14.699 * * [simplify]: Extracting #3: cost 28 inf + 83 14.699 * * [simplify]: Extracting #4: cost 105 inf + 84 14.700 * * [simplify]: Extracting #5: cost 139 inf + 384 14.703 * * [simplify]: Extracting #6: cost 103 inf + 5239 14.709 * * [simplify]: Extracting #7: cost 50 inf + 20824 14.721 * * [simplify]: Extracting #8: cost 15 inf + 47877 14.739 * * [simplify]: Extracting #9: cost 0 inf + 59693 14.755 * * [simplify]: Extracting #10: cost 0 inf + 59363 14.773 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 14.773 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 14.773 * * * * [progress]: [ 91 / 133 ] simplifiying candidate # 14.774 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 14.774 * * [simplify]: iters left: 6 (15 enodes) 14.781 * * [simplify]: iters left: 5 (62 enodes) 14.800 * * [simplify]: iters left: 4 (98 enodes) 14.830 * * [simplify]: iters left: 3 (134 enodes) 14.858 * * [simplify]: iters left: 2 (202 enodes) 14.918 * * [simplify]: iters left: 1 (362 enodes) 15.055 * * [simplify]: Extracting #0: cost 1 inf + 0 15.055 * * [simplify]: Extracting #1: cost 6 inf + 0 15.055 * * [simplify]: Extracting #2: cost 13 inf + 0 15.055 * * [simplify]: Extracting #3: cost 43 inf + 0 15.056 * * [simplify]: Extracting #4: cost 120 inf + 285 15.057 * * [simplify]: Extracting #5: cost 141 inf + 1984 15.060 * * [simplify]: Extracting #6: cost 72 inf + 21416 15.069 * * [simplify]: Extracting #7: cost 23 inf + 42391 15.083 * * [simplify]: Extracting #8: cost 0 inf + 61728 15.101 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.102 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 15.102 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.102 * * [simplify]: iters left: 6 (14 enodes) 15.106 * * [simplify]: iters left: 5 (57 enodes) 15.116 * * [simplify]: iters left: 4 (91 enodes) 15.134 * * [simplify]: iters left: 3 (127 enodes) 15.176 * * [simplify]: iters left: 2 (195 enodes) 15.219 * * [simplify]: iters left: 1 (354 enodes) 15.354 * * [simplify]: Extracting #0: cost 1 inf + 0 15.354 * * [simplify]: Extracting #1: cost 4 inf + 0 15.354 * * [simplify]: Extracting #2: cost 9 inf + 0 15.354 * * [simplify]: Extracting #3: cost 36 inf + 0 15.355 * * [simplify]: Extracting #4: cost 113 inf + 205 15.355 * * [simplify]: Extracting #5: cost 131 inf + 2415 15.361 * * [simplify]: Extracting #6: cost 45 inf + 33802 15.382 * * [simplify]: Extracting #7: cost 2 inf + 54796 15.410 * * [simplify]: Extracting #8: cost 0 inf + 53175 15.439 * * [simplify]: Extracting #9: cost 0 inf + 52741 15.458 * * [simplify]: Extracting #10: cost 0 inf + 52079 15.477 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.477 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 15.478 * * * * [progress]: [ 92 / 133 ] simplifiying candidate # 15.478 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 15.478 * * [simplify]: iters left: 6 (15 enodes) 15.486 * * [simplify]: iters left: 5 (61 enodes) 15.507 * * [simplify]: iters left: 4 (95 enodes) 15.536 * * [simplify]: iters left: 3 (131 enodes) 15.577 * * [simplify]: iters left: 2 (199 enodes) 15.654 * * [simplify]: iters left: 1 (362 enodes) 15.799 * * [simplify]: Extracting #0: cost 1 inf + 0 15.799 * * [simplify]: Extracting #1: cost 4 inf + 0 15.799 * * [simplify]: Extracting #2: cost 10 inf + 0 15.799 * * [simplify]: Extracting #3: cost 41 inf + 0 15.800 * * [simplify]: Extracting #4: cost 124 inf + 325 15.801 * * [simplify]: Extracting #5: cost 146 inf + 2066 15.803 * * [simplify]: Extracting #6: cost 94 inf + 10304 15.810 * * [simplify]: Extracting #7: cost 23 inf + 47402 15.826 * * [simplify]: Extracting #8: cost 0 inf + 67276 15.847 * * [simplify]: Extracting #9: cost 0 inf + 66421 15.868 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 15.868 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 15.869 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 15.869 * * [simplify]: iters left: 6 (14 enodes) 15.877 * * [simplify]: iters left: 5 (57 enodes) 15.897 * * [simplify]: iters left: 4 (91 enodes) 15.925 * * [simplify]: iters left: 3 (127 enodes) 15.952 * * [simplify]: iters left: 2 (195 enodes) 16.018 * * [simplify]: iters left: 1 (354 enodes) 16.181 * * [simplify]: Extracting #0: cost 1 inf + 0 16.181 * * [simplify]: Extracting #1: cost 4 inf + 0 16.181 * * [simplify]: Extracting #2: cost 9 inf + 0 16.181 * * [simplify]: Extracting #3: cost 36 inf + 0 16.182 * * [simplify]: Extracting #4: cost 113 inf + 285 16.182 * * [simplify]: Extracting #5: cost 131 inf + 2495 16.191 * * [simplify]: Extracting #6: cost 45 inf + 33882 16.215 * * [simplify]: Extracting #7: cost 2 inf + 54876 16.243 * * [simplify]: Extracting #8: cost 0 inf + 53255 16.273 * * [simplify]: Extracting #9: cost 0 inf + 52821 16.303 * * [simplify]: Extracting #10: cost 0 inf + 52159 16.333 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.333 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 16.333 * * * * [progress]: [ 93 / 133 ] simplifiying candidate # 16.333 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.334 * * [simplify]: iters left: 6 (14 enodes) 16.341 * * [simplify]: iters left: 5 (57 enodes) 16.361 * * [simplify]: iters left: 4 (91 enodes) 16.390 * * [simplify]: iters left: 3 (127 enodes) 16.411 * * [simplify]: iters left: 2 (195 enodes) 16.463 * * [simplify]: iters left: 1 (354 enodes) 16.590 * * [simplify]: Extracting #0: cost 1 inf + 0 16.590 * * [simplify]: Extracting #1: cost 4 inf + 0 16.590 * * [simplify]: Extracting #2: cost 9 inf + 0 16.590 * * [simplify]: Extracting #3: cost 36 inf + 0 16.591 * * [simplify]: Extracting #4: cost 113 inf + 165 16.592 * * [simplify]: Extracting #5: cost 131 inf + 2335 16.597 * * [simplify]: Extracting #6: cost 45 inf + 33642 16.618 * * [simplify]: Extracting #7: cost 2 inf + 54636 16.647 * * [simplify]: Extracting #8: cost 0 inf + 53015 16.677 * * [simplify]: Extracting #9: cost 0 inf + 52581 16.703 * * [simplify]: Extracting #10: cost 0 inf + 51919 16.720 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.720 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 16.721 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.721 * * [simplify]: iters left: 6 (14 enodes) 16.725 * * [simplify]: iters left: 5 (57 enodes) 16.743 * * [simplify]: iters left: 4 (91 enodes) 16.768 * * [simplify]: iters left: 3 (127 enodes) 16.789 * * [simplify]: iters left: 2 (195 enodes) 16.847 * * [simplify]: iters left: 1 (354 enodes) 16.955 * * [simplify]: Extracting #0: cost 1 inf + 0 16.955 * * [simplify]: Extracting #1: cost 4 inf + 0 16.955 * * [simplify]: Extracting #2: cost 9 inf + 0 16.955 * * [simplify]: Extracting #3: cost 36 inf + 0 16.955 * * [simplify]: Extracting #4: cost 113 inf + 165 16.956 * * [simplify]: Extracting #5: cost 131 inf + 2335 16.961 * * [simplify]: Extracting #6: cost 45 inf + 33642 16.984 * * [simplify]: Extracting #7: cost 2 inf + 54636 17.017 * * [simplify]: Extracting #8: cost 0 inf + 53015 17.046 * * [simplify]: Extracting #9: cost 0 inf + 52581 17.077 * * [simplify]: Extracting #10: cost 0 inf + 51919 17.095 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.095 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.095 * * * * [progress]: [ 94 / 133 ] simplifiying candidate # 17.096 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 17.096 * * [simplify]: iters left: 6 (13 enodes) 17.101 * * [simplify]: iters left: 5 (54 enodes) 17.111 * * [simplify]: iters left: 4 (88 enodes) 17.129 * * [simplify]: iters left: 3 (127 enodes) 17.169 * * [simplify]: iters left: 2 (196 enodes) 17.208 * * [simplify]: iters left: 1 (362 enodes) 17.361 * * [simplify]: Extracting #0: cost 1 inf + 0 17.361 * * [simplify]: Extracting #1: cost 5 inf + 0 17.361 * * [simplify]: Extracting #2: cost 27 inf + 1 17.362 * * [simplify]: Extracting #3: cost 103 inf + 2 17.363 * * [simplify]: Extracting #4: cost 147 inf + 177 17.364 * * [simplify]: Extracting #5: cost 138 inf + 686 17.367 * * [simplify]: Extracting #6: cost 90 inf + 5192 17.376 * * [simplify]: Extracting #7: cost 29 inf + 34526 17.385 * * [simplify]: Extracting #8: cost 3 inf + 53567 17.395 * * [simplify]: Extracting #9: cost 0 inf + 55996 17.406 * * [simplify]: Extracting #10: cost 0 inf + 55520 17.421 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 17.421 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 17.421 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 17.421 * * [simplify]: iters left: 6 (13 enodes) 17.429 * * [simplify]: iters left: 5 (54 enodes) 17.447 * * [simplify]: iters left: 4 (88 enodes) 17.478 * * [simplify]: iters left: 3 (125 enodes) 17.498 * * [simplify]: iters left: 2 (193 enodes) 17.545 * * [simplify]: iters left: 1 (356 enodes) 18.045 * * [simplify]: Extracting #0: cost 1 inf + 0 18.045 * * [simplify]: Extracting #1: cost 4 inf + 0 18.045 * * [simplify]: Extracting #2: cost 9 inf + 0 18.045 * * [simplify]: Extracting #3: cost 32 inf + 1 18.045 * * [simplify]: Extracting #4: cost 105 inf + 84 18.046 * * [simplify]: Extracting #5: cost 125 inf + 1632 18.049 * * [simplify]: Extracting #6: cost 73 inf + 13139 18.059 * * [simplify]: Extracting #7: cost 9 inf + 42244 18.075 * * [simplify]: Extracting #8: cost 0 inf + 47700 18.102 * * [simplify]: Extracting #9: cost 0 inf + 47090 18.130 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 18.130 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 18.130 * * * * [progress]: [ 95 / 133 ] simplifiying candidate # 18.130 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.130 * * [simplify]: iters left: 6 (14 enodes) 18.139 * * [simplify]: iters left: 5 (57 enodes) 18.164 * * [simplify]: iters left: 4 (91 enodes) 18.192 * * [simplify]: iters left: 3 (127 enodes) 18.213 * * [simplify]: iters left: 2 (195 enodes) 18.285 * * [simplify]: iters left: 1 (354 enodes) 18.437 * * [simplify]: Extracting #0: cost 1 inf + 0 18.437 * * [simplify]: Extracting #1: cost 4 inf + 0 18.437 * * [simplify]: Extracting #2: cost 9 inf + 0 18.437 * * [simplify]: Extracting #3: cost 36 inf + 0 18.438 * * [simplify]: Extracting #4: cost 113 inf + 165 18.440 * * [simplify]: Extracting #5: cost 131 inf + 2335 18.450 * * [simplify]: Extracting #6: cost 45 inf + 33642 18.473 * * [simplify]: Extracting #7: cost 2 inf + 54636 18.491 * * [simplify]: Extracting #8: cost 0 inf + 53015 18.511 * * [simplify]: Extracting #9: cost 0 inf + 52581 18.540 * * [simplify]: Extracting #10: cost 0 inf + 51919 18.570 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.570 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 18.570 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.570 * * [simplify]: iters left: 6 (14 enodes) 18.578 * * [simplify]: iters left: 5 (57 enodes) 18.597 * * [simplify]: iters left: 4 (91 enodes) 18.625 * * [simplify]: iters left: 3 (127 enodes) 18.665 * * [simplify]: iters left: 2 (195 enodes) 18.713 * * [simplify]: iters left: 1 (354 enodes) 18.849 * * [simplify]: Extracting #0: cost 1 inf + 0 18.849 * * [simplify]: Extracting #1: cost 4 inf + 0 18.849 * * [simplify]: Extracting #2: cost 9 inf + 0 18.849 * * [simplify]: Extracting #3: cost 36 inf + 0 18.850 * * [simplify]: Extracting #4: cost 113 inf + 165 18.854 * * [simplify]: Extracting #5: cost 131 inf + 2335 18.859 * * [simplify]: Extracting #6: cost 45 inf + 33642 18.871 * * [simplify]: Extracting #7: cost 2 inf + 54636 18.887 * * [simplify]: Extracting #8: cost 0 inf + 53015 18.914 * * [simplify]: Extracting #9: cost 0 inf + 52581 18.929 * * [simplify]: Extracting #10: cost 0 inf + 51919 18.951 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.951 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 18.951 * * * * [progress]: [ 96 / 133 ] simplifiying candidate # 18.952 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 18.952 * * [simplify]: iters left: 6 (12 enodes) 18.959 * * [simplify]: iters left: 5 (49 enodes) 18.975 * * [simplify]: iters left: 4 (83 enodes) 19.006 * * [simplify]: iters left: 3 (124 enodes) 19.047 * * [simplify]: iters left: 2 (197 enodes) 19.118 * * [simplify]: iters left: 1 (352 enodes) 19.316 * * [simplify]: Extracting #0: cost 1 inf + 0 19.316 * * [simplify]: Extracting #1: cost 5 inf + 0 19.317 * * [simplify]: Extracting #2: cost 27 inf + 1 19.317 * * [simplify]: Extracting #3: cost 107 inf + 2 19.318 * * [simplify]: Extracting #4: cost 136 inf + 177 19.320 * * [simplify]: Extracting #5: cost 129 inf + 724 19.324 * * [simplify]: Extracting #6: cost 68 inf + 10028 19.336 * * [simplify]: Extracting #7: cost 27 inf + 32706 19.355 * * [simplify]: Extracting #8: cost 0 inf + 57385 19.373 * * [simplify]: Extracting #9: cost 0 inf + 56670 19.390 * * [simplify]: Extracting #10: cost 0 inf + 56408 19.400 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 19.400 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 19.401 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 19.401 * * [simplify]: iters left: 6 (13 enodes) 19.407 * * [simplify]: iters left: 5 (54 enodes) 19.419 * * [simplify]: iters left: 4 (88 enodes) 19.446 * * [simplify]: iters left: 3 (125 enodes) 19.474 * * [simplify]: iters left: 2 (193 enodes) 19.520 * * [simplify]: iters left: 1 (356 enodes) 19.645 * * [simplify]: Extracting #0: cost 1 inf + 0 19.645 * * [simplify]: Extracting #1: cost 4 inf + 0 19.645 * * [simplify]: Extracting #2: cost 9 inf + 0 19.645 * * [simplify]: Extracting #3: cost 32 inf + 1 19.646 * * [simplify]: Extracting #4: cost 105 inf + 84 19.646 * * [simplify]: Extracting #5: cost 125 inf + 1632 19.649 * * [simplify]: Extracting #6: cost 73 inf + 13139 19.659 * * [simplify]: Extracting #7: cost 9 inf + 42244 19.679 * * [simplify]: Extracting #8: cost 0 inf + 47700 19.709 * * [simplify]: Extracting #9: cost 0 inf + 47090 19.736 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 19.736 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 19.736 * * * * [progress]: [ 97 / 133 ] simplifiying candidate # 19.737 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.737 * * [simplify]: iters left: 6 (6 enodes) 19.740 * * [simplify]: iters left: 5 (22 enodes) 19.747 * * [simplify]: iters left: 4 (26 enodes) 19.753 * * [simplify]: Extracting #0: cost 1 inf + 0 19.753 * * [simplify]: Extracting #1: cost 6 inf + 0 19.753 * * [simplify]: Extracting #2: cost 9 inf + 1 19.753 * * [simplify]: Extracting #3: cost 11 inf + 1 19.753 * * [simplify]: Extracting #4: cost 8 inf + 84 19.753 * * [simplify]: Extracting #5: cost 2 inf + 1013 19.754 * * [simplify]: Extracting #6: cost 0 inf + 1376 19.754 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.754 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 19.754 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 19.754 * * [simplify]: iters left: 6 (13 enodes) 19.758 * * [simplify]: iters left: 5 (54 enodes) 19.768 * * [simplify]: iters left: 4 (89 enodes) 19.783 * * [simplify]: iters left: 3 (136 enodes) 19.806 * * [simplify]: iters left: 2 (221 enodes) 19.887 * * [simplify]: iters left: 1 (444 enodes) 20.074 * * [simplify]: Extracting #0: cost 1 inf + 0 20.075 * * [simplify]: Extracting #1: cost 51 inf + 0 20.075 * * [simplify]: Extracting #2: cost 141 inf + 0 20.076 * * [simplify]: Extracting #3: cost 217 inf + 3 20.077 * * [simplify]: Extracting #4: cost 206 inf + 1256 20.081 * * [simplify]: Extracting #5: cost 128 inf + 22660 20.100 * * [simplify]: Extracting #6: cost 23 inf + 103572 20.140 * * [simplify]: Extracting #7: cost 0 inf + 122695 20.178 * * [simplify]: Extracting #8: cost 0 inf + 120000 20.203 * * [simplify]: Extracting #9: cost 0 inf + 119244 20.227 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 20.227 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 20.228 * * * * [progress]: [ 98 / 133 ] simplifiying candidate # 20.228 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 20.228 * * [simplify]: iters left: 6 (6 enodes) 20.231 * * [simplify]: iters left: 5 (21 enodes) 20.234 * * [simplify]: iters left: 4 (23 enodes) 20.239 * * [simplify]: Extracting #0: cost 1 inf + 0 20.239 * * [simplify]: Extracting #1: cost 4 inf + 0 20.239 * * [simplify]: Extracting #2: cost 6 inf + 1 20.239 * * [simplify]: Extracting #3: cost 9 inf + 1 20.239 * * [simplify]: Extracting #4: cost 8 inf + 2 20.239 * * [simplify]: Extracting #5: cost 1 inf + 810 20.240 * * [simplify]: Extracting #6: cost 0 inf + 972 20.240 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 20.240 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 20.240 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 20.240 * * [simplify]: iters left: 6 (13 enodes) 20.244 * * [simplify]: iters left: 5 (54 enodes) 20.254 * * [simplify]: iters left: 4 (89 enodes) 20.270 * * [simplify]: iters left: 3 (136 enodes) 20.313 * * [simplify]: iters left: 2 (221 enodes) 20.370 * * [simplify]: iters left: 1 (444 enodes) 20.582 * * [simplify]: Extracting #0: cost 1 inf + 0 20.582 * * [simplify]: Extracting #1: cost 51 inf + 0 20.583 * * [simplify]: Extracting #2: cost 141 inf + 0 20.583 * * [simplify]: Extracting #3: cost 217 inf + 3 20.585 * * [simplify]: Extracting #4: cost 206 inf + 1296 20.588 * * [simplify]: Extracting #5: cost 128 inf + 22740 20.605 * * [simplify]: Extracting #6: cost 23 inf + 103652 20.649 * * [simplify]: Extracting #7: cost 0 inf + 122775 20.688 * * [simplify]: Extracting #8: cost 0 inf + 120080 20.718 * * [simplify]: Extracting #9: cost 0 inf + 119324 20.738 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 20.738 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 20.738 * * * * [progress]: [ 99 / 133 ] simplifiying candidate # 20.738 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 20.738 * * [simplify]: iters left: 4 (5 enodes) 20.740 * * [simplify]: iters left: 3 (17 enodes) 20.743 * * [simplify]: iters left: 2 (19 enodes) 20.746 * * [simplify]: Extracting #0: cost 1 inf + 0 20.746 * * [simplify]: Extracting #1: cost 4 inf + 0 20.746 * * [simplify]: Extracting #2: cost 5 inf + 1 20.746 * * [simplify]: Extracting #3: cost 7 inf + 1 20.746 * * [simplify]: Extracting #4: cost 0 inf + 490 20.746 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 20.746 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.747 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.747 * * [simplify]: iters left: 6 (13 enodes) 20.751 * * [simplify]: iters left: 5 (54 enodes) 20.761 * * [simplify]: iters left: 4 (89 enodes) 20.777 * * [simplify]: iters left: 3 (136 enodes) 20.804 * * [simplify]: iters left: 2 (221 enodes) 20.857 * * [simplify]: iters left: 1 (444 enodes) 21.035 * * [simplify]: Extracting #0: cost 1 inf + 0 21.035 * * [simplify]: Extracting #1: cost 51 inf + 0 21.035 * * [simplify]: Extracting #2: cost 141 inf + 0 21.036 * * [simplify]: Extracting #3: cost 217 inf + 3 21.037 * * [simplify]: Extracting #4: cost 206 inf + 1176 21.041 * * [simplify]: Extracting #5: cost 128 inf + 22380 21.063 * * [simplify]: Extracting #6: cost 23 inf + 101172 21.091 * * [simplify]: Extracting #7: cost 0 inf + 119655 21.112 * * [simplify]: Extracting #8: cost 0 inf + 116960 21.150 * * [simplify]: Extracting #9: cost 0 inf + 116204 21.170 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.170 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.170 * * * * [progress]: [ 100 / 133 ] simplifiying candidate # 21.171 * [simplify]: Simplifying (/ 1 (sqrt 1)) 21.171 * * [simplify]: iters left: 3 (3 enodes) 21.174 * * [simplify]: iters left: 2 (11 enodes) 21.177 * * [simplify]: iters left: 1 (13 enodes) 21.181 * * [simplify]: Extracting #0: cost 1 inf + 0 21.181 * * [simplify]: Extracting #1: cost 0 inf + 1 21.181 * [simplify]: Simplified to 1 21.181 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 21.182 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 21.182 * * [simplify]: iters left: 6 (12 enodes) 21.189 * * [simplify]: iters left: 5 (51 enodes) 21.205 * * [simplify]: iters left: 4 (86 enodes) 21.220 * * [simplify]: iters left: 3 (133 enodes) 21.254 * * [simplify]: iters left: 2 (218 enodes) 21.304 * * [simplify]: iters left: 1 (444 enodes) 21.493 * * [simplify]: Extracting #0: cost 1 inf + 0 21.493 * * [simplify]: Extracting #1: cost 39 inf + 0 21.493 * * [simplify]: Extracting #2: cost 126 inf + 0 21.494 * * [simplify]: Extracting #3: cost 201 inf + 4 21.495 * * [simplify]: Extracting #4: cost 191 inf + 1382 21.498 * * [simplify]: Extracting #5: cost 133 inf + 10319 21.509 * * [simplify]: Extracting #6: cost 56 inf + 58095 21.533 * * [simplify]: Extracting #7: cost 0 inf + 104434 21.567 * * [simplify]: Extracting #8: cost 0 inf + 104433 21.599 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 21.600 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 21.600 * * * * [progress]: [ 101 / 133 ] simplifiying candidate # 21.600 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 21.600 * * [simplify]: iters left: 4 (5 enodes) 21.603 * * [simplify]: iters left: 3 (17 enodes) 21.608 * * [simplify]: iters left: 2 (19 enodes) 21.614 * * [simplify]: Extracting #0: cost 1 inf + 0 21.614 * * [simplify]: Extracting #1: cost 4 inf + 0 21.614 * * [simplify]: Extracting #2: cost 5 inf + 1 21.614 * * [simplify]: Extracting #3: cost 7 inf + 1 21.614 * * [simplify]: Extracting #4: cost 0 inf + 490 21.614 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 21.614 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.615 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.615 * * [simplify]: iters left: 6 (13 enodes) 21.622 * * [simplify]: iters left: 5 (54 enodes) 21.640 * * [simplify]: iters left: 4 (89 enodes) 21.660 * * [simplify]: iters left: 3 (136 enodes) 21.682 * * [simplify]: iters left: 2 (221 enodes) 21.758 * * [simplify]: iters left: 1 (444 enodes) 21.983 * * [simplify]: Extracting #0: cost 1 inf + 0 21.983 * * [simplify]: Extracting #1: cost 51 inf + 0 21.984 * * [simplify]: Extracting #2: cost 141 inf + 0 21.985 * * [simplify]: Extracting #3: cost 217 inf + 3 21.987 * * [simplify]: Extracting #4: cost 206 inf + 1176 21.995 * * [simplify]: Extracting #5: cost 128 inf + 22380 22.018 * * [simplify]: Extracting #6: cost 23 inf + 101172 22.039 * * [simplify]: Extracting #7: cost 0 inf + 119655 22.060 * * [simplify]: Extracting #8: cost 0 inf + 116960 22.092 * * [simplify]: Extracting #9: cost 0 inf + 116204 22.131 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 22.131 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 22.131 * * * * [progress]: [ 102 / 133 ] simplifiying candidate # 22.132 * [simplify]: Simplifying (/ 1 1) 22.132 * * [simplify]: iters left: 2 (2 enodes) 22.134 * * [simplify]: iters left: 1 (6 enodes) 22.136 * * [simplify]: Extracting #0: cost 1 inf + 0 22.136 * * [simplify]: Extracting #1: cost 0 inf + 1 22.136 * [simplify]: Simplified to 1 22.136 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 22.136 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 22.137 * * [simplify]: iters left: 6 (12 enodes) 22.144 * * [simplify]: iters left: 5 (51 enodes) 22.162 * * [simplify]: iters left: 4 (86 enodes) 22.190 * * [simplify]: iters left: 3 (133 enodes) 22.234 * * [simplify]: iters left: 2 (218 enodes) 22.319 * * [simplify]: iters left: 1 (444 enodes) 22.565 * * [simplify]: Extracting #0: cost 1 inf + 0 22.565 * * [simplify]: Extracting #1: cost 39 inf + 0 22.566 * * [simplify]: Extracting #2: cost 126 inf + 0 22.566 * * [simplify]: Extracting #3: cost 201 inf + 4 22.568 * * [simplify]: Extracting #4: cost 191 inf + 1382 22.570 * * [simplify]: Extracting #5: cost 133 inf + 10319 22.579 * * [simplify]: Extracting #6: cost 56 inf + 58095 22.598 * * [simplify]: Extracting #7: cost 0 inf + 104434 22.628 * * [simplify]: Extracting #8: cost 0 inf + 104433 22.661 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 22.661 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 22.661 * * * * [progress]: [ 103 / 133 ] simplifiying candidate # 22.662 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 22.662 * * [simplify]: iters left: 6 (15 enodes) 22.670 * * [simplify]: iters left: 5 (65 enodes) 22.692 * * [simplify]: iters left: 4 (109 enodes) 22.730 * * [simplify]: iters left: 3 (185 enodes) 22.785 * * [simplify]: iters left: 2 (368 enodes) 22.912 * * [simplify]: Extracting #0: cost 1 inf + 0 22.912 * * [simplify]: Extracting #1: cost 54 inf + 0 22.912 * * [simplify]: Extracting #2: cost 144 inf + 0 22.913 * * [simplify]: Extracting #3: cost 223 inf + 2 22.914 * * [simplify]: Extracting #4: cost 205 inf + 3811 22.919 * * [simplify]: Extracting #5: cost 131 inf + 29200 22.935 * * [simplify]: Extracting #6: cost 16 inf + 109445 22.957 * * [simplify]: Extracting #7: cost 0 inf + 122156 22.981 * * [simplify]: Extracting #8: cost 0 inf + 122025 23.000 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 23.000 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 23.001 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 23.001 * * [simplify]: iters left: 6 (14 enodes) 23.005 * * [simplify]: iters left: 5 (60 enodes) 23.015 * * [simplify]: iters left: 4 (98 enodes) 23.032 * * [simplify]: iters left: 3 (157 enodes) 23.075 * * [simplify]: iters left: 2 (290 enodes) 23.174 * * [simplify]: Extracting #0: cost 1 inf + 0 23.174 * * [simplify]: Extracting #1: cost 30 inf + 0 23.174 * * [simplify]: Extracting #2: cost 72 inf + 0 23.175 * * [simplify]: Extracting #3: cost 138 inf + 2 23.176 * * [simplify]: Extracting #4: cost 143 inf + 890 23.180 * * [simplify]: Extracting #5: cost 80 inf + 17711 23.187 * * [simplify]: Extracting #6: cost 8 inf + 48515 23.197 * * [simplify]: Extracting #7: cost 0 inf + 53624 23.206 * * [simplify]: Extracting #8: cost 0 inf + 53424 23.222 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 23.223 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 23.223 * * * * [progress]: [ 104 / 133 ] simplifiying candidate # 23.223 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 23.223 * * [simplify]: iters left: 6 (15 enodes) 23.233 * * [simplify]: iters left: 5 (64 enodes) 23.257 * * [simplify]: iters left: 4 (102 enodes) 23.290 * * [simplify]: iters left: 3 (161 enodes) 23.334 * * [simplify]: iters left: 2 (288 enodes) 23.409 * * [simplify]: Extracting #0: cost 1 inf + 0 23.409 * * [simplify]: Extracting #1: cost 30 inf + 0 23.409 * * [simplify]: Extracting #2: cost 73 inf + 0 23.409 * * [simplify]: Extracting #3: cost 138 inf + 2 23.410 * * [simplify]: Extracting #4: cost 143 inf + 389 23.411 * * [simplify]: Extracting #5: cost 103 inf + 4729 23.416 * * [simplify]: Extracting #6: cost 27 inf + 38097 23.425 * * [simplify]: Extracting #7: cost 0 inf + 59534 23.441 * * [simplify]: Extracting #8: cost 0 inf + 59452 23.457 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 23.457 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))))) 23.457 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 23.458 * * [simplify]: iters left: 6 (14 enodes) 23.466 * * [simplify]: iters left: 5 (60 enodes) 23.485 * * [simplify]: iters left: 4 (98 enodes) 23.517 * * [simplify]: iters left: 3 (157 enodes) 23.576 * * [simplify]: iters left: 2 (290 enodes) 23.668 * * [simplify]: Extracting #0: cost 1 inf + 0 23.668 * * [simplify]: Extracting #1: cost 30 inf + 0 23.669 * * [simplify]: Extracting #2: cost 72 inf + 0 23.669 * * [simplify]: Extracting #3: cost 138 inf + 2 23.670 * * [simplify]: Extracting #4: cost 143 inf + 890 23.673 * * [simplify]: Extracting #5: cost 80 inf + 17791 23.681 * * [simplify]: Extracting #6: cost 8 inf + 48595 23.690 * * [simplify]: Extracting #7: cost 0 inf + 53704 23.699 * * [simplify]: Extracting #8: cost 0 inf + 53504 23.713 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 23.713 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 23.713 * * * * [progress]: [ 105 / 133 ] simplifiying candidate # 23.713 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.713 * * [simplify]: iters left: 6 (14 enodes) 23.722 * * [simplify]: iters left: 5 (60 enodes) 23.737 * * [simplify]: iters left: 4 (98 enodes) 23.757 * * [simplify]: iters left: 3 (157 enodes) 23.787 * * [simplify]: iters left: 2 (290 enodes) 23.872 * * [simplify]: Extracting #0: cost 1 inf + 0 23.872 * * [simplify]: Extracting #1: cost 30 inf + 0 23.872 * * [simplify]: Extracting #2: cost 72 inf + 0 23.873 * * [simplify]: Extracting #3: cost 138 inf + 2 23.873 * * [simplify]: Extracting #4: cost 143 inf + 890 23.876 * * [simplify]: Extracting #5: cost 80 inf + 17431 23.884 * * [simplify]: Extracting #6: cost 8 inf + 47315 23.899 * * [simplify]: Extracting #7: cost 0 inf + 52144 23.915 * * [simplify]: Extracting #8: cost 0 inf + 51944 23.925 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.925 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 23.926 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.926 * * [simplify]: iters left: 6 (14 enodes) 23.930 * * [simplify]: iters left: 5 (60 enodes) 23.940 * * [simplify]: iters left: 4 (98 enodes) 23.964 * * [simplify]: iters left: 3 (157 enodes) 24.015 * * [simplify]: iters left: 2 (290 enodes) 24.095 * * [simplify]: Extracting #0: cost 1 inf + 0 24.095 * * [simplify]: Extracting #1: cost 30 inf + 0 24.096 * * [simplify]: Extracting #2: cost 72 inf + 0 24.096 * * [simplify]: Extracting #3: cost 138 inf + 2 24.098 * * [simplify]: Extracting #4: cost 143 inf + 890 24.103 * * [simplify]: Extracting #5: cost 80 inf + 17431 24.118 * * [simplify]: Extracting #6: cost 8 inf + 47315 24.135 * * [simplify]: Extracting #7: cost 0 inf + 52144 24.152 * * [simplify]: Extracting #8: cost 0 inf + 51944 24.170 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.170 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 24.170 * * * * [progress]: [ 106 / 133 ] simplifiying candidate # 24.170 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 24.170 * * [simplify]: iters left: 6 (13 enodes) 24.179 * * [simplify]: iters left: 5 (57 enodes) 24.201 * * [simplify]: iters left: 4 (93 enodes) 24.231 * * [simplify]: iters left: 3 (148 enodes) 24.265 * * [simplify]: iters left: 2 (271 enodes) 24.356 * * [simplify]: iters left: 1 (497 enodes) 24.625 * * [simplify]: Extracting #0: cost 1 inf + 0 24.625 * * [simplify]: Extracting #1: cost 54 inf + 0 24.631 * * [simplify]: Extracting #2: cost 165 inf + 2 24.633 * * [simplify]: Extracting #3: cost 238 inf + 220 24.636 * * [simplify]: Extracting #4: cost 231 inf + 855 24.643 * * [simplify]: Extracting #5: cost 139 inf + 14771 24.671 * * [simplify]: Extracting #6: cost 27 inf + 65033 24.701 * * [simplify]: Extracting #7: cost 0 inf + 84937 24.723 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 24.723 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 24.724 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 24.724 * * [simplify]: iters left: 6 (13 enodes) 24.729 * * [simplify]: iters left: 5 (57 enodes) 24.749 * * [simplify]: iters left: 4 (95 enodes) 24.778 * * [simplify]: iters left: 3 (154 enodes) 24.811 * * [simplify]: iters left: 2 (287 enodes) 24.907 * * [simplify]: Extracting #0: cost 1 inf + 0 24.907 * * [simplify]: Extracting #1: cost 30 inf + 0 24.908 * * [simplify]: Extracting #2: cost 73 inf + 0 24.909 * * [simplify]: Extracting #3: cost 136 inf + 3 24.910 * * [simplify]: Extracting #4: cost 130 inf + 1385 24.915 * * [simplify]: Extracting #5: cost 76 inf + 14535 24.928 * * [simplify]: Extracting #6: cost 5 inf + 50457 24.944 * * [simplify]: Extracting #7: cost 0 inf + 54374 24.960 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 24.960 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 24.960 * * * * [progress]: [ 107 / 133 ] simplifiying candidate # 24.960 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.960 * * [simplify]: iters left: 6 (14 enodes) 24.969 * * [simplify]: iters left: 5 (60 enodes) 24.989 * * [simplify]: iters left: 4 (98 enodes) 25.025 * * [simplify]: iters left: 3 (157 enodes) 25.061 * * [simplify]: iters left: 2 (290 enodes) 25.169 * * [simplify]: Extracting #0: cost 1 inf + 0 25.169 * * [simplify]: Extracting #1: cost 30 inf + 0 25.169 * * [simplify]: Extracting #2: cost 72 inf + 0 25.170 * * [simplify]: Extracting #3: cost 138 inf + 2 25.171 * * [simplify]: Extracting #4: cost 143 inf + 890 25.177 * * [simplify]: Extracting #5: cost 80 inf + 17431 25.191 * * [simplify]: Extracting #6: cost 8 inf + 47315 25.208 * * [simplify]: Extracting #7: cost 0 inf + 52144 25.226 * * [simplify]: Extracting #8: cost 0 inf + 51944 25.244 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.244 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 25.244 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 25.245 * * [simplify]: iters left: 6 (14 enodes) 25.250 * * [simplify]: iters left: 5 (60 enodes) 25.260 * * [simplify]: iters left: 4 (98 enodes) 25.280 * * [simplify]: iters left: 3 (157 enodes) 25.310 * * [simplify]: iters left: 2 (290 enodes) 25.372 * * [simplify]: Extracting #0: cost 1 inf + 0 25.372 * * [simplify]: Extracting #1: cost 30 inf + 0 25.372 * * [simplify]: Extracting #2: cost 72 inf + 0 25.372 * * [simplify]: Extracting #3: cost 138 inf + 2 25.373 * * [simplify]: Extracting #4: cost 143 inf + 890 25.376 * * [simplify]: Extracting #5: cost 80 inf + 17431 25.384 * * [simplify]: Extracting #6: cost 8 inf + 47315 25.394 * * [simplify]: Extracting #7: cost 0 inf + 52144 25.403 * * [simplify]: Extracting #8: cost 0 inf + 51944 25.413 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.413 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 25.413 * * * * [progress]: [ 108 / 133 ] simplifiying candidate # 25.413 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 25.413 * * [simplify]: iters left: 6 (12 enodes) 25.417 * * [simplify]: iters left: 5 (52 enodes) 25.430 * * [simplify]: iters left: 4 (90 enodes) 25.465 * * [simplify]: iters left: 3 (151 enodes) 25.506 * * [simplify]: iters left: 2 (287 enodes) 25.597 * * [simplify]: Extracting #0: cost 1 inf + 0 25.597 * * [simplify]: Extracting #1: cost 31 inf + 0 25.598 * * [simplify]: Extracting #2: cost 99 inf + 2 25.598 * * [simplify]: Extracting #3: cost 141 inf + 219 25.599 * * [simplify]: Extracting #4: cost 139 inf + 807 25.601 * * [simplify]: Extracting #5: cost 85 inf + 6440 25.605 * * [simplify]: Extracting #6: cost 41 inf + 22533 25.618 * * [simplify]: Extracting #7: cost 3 inf + 47776 25.633 * * [simplify]: Extracting #8: cost 0 inf + 50387 25.641 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 25.641 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 25.642 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 25.642 * * [simplify]: iters left: 6 (13 enodes) 25.646 * * [simplify]: iters left: 5 (57 enodes) 25.656 * * [simplify]: iters left: 4 (95 enodes) 25.689 * * [simplify]: iters left: 3 (154 enodes) 25.734 * * [simplify]: iters left: 2 (287 enodes) 25.805 * * [simplify]: Extracting #0: cost 1 inf + 0 25.805 * * [simplify]: Extracting #1: cost 30 inf + 0 25.805 * * [simplify]: Extracting #2: cost 73 inf + 0 25.806 * * [simplify]: Extracting #3: cost 136 inf + 3 25.807 * * [simplify]: Extracting #4: cost 130 inf + 1385 25.809 * * [simplify]: Extracting #5: cost 76 inf + 14535 25.816 * * [simplify]: Extracting #6: cost 5 inf + 50457 25.824 * * [simplify]: Extracting #7: cost 0 inf + 54374 25.837 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 25.837 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 25.837 * * * * [progress]: [ 109 / 133 ] simplifiying candidate # 25.837 * * * * [progress]: [ 110 / 133 ] simplifiying candidate # 25.838 * * * * [progress]: [ 111 / 133 ] simplifiying candidate # 25.838 * * * * [progress]: [ 112 / 133 ] simplifiying candidate # 25.838 * [simplify]: Simplifying (cbrt (sqrt k)) 25.838 * * [simplify]: iters left: 2 (3 enodes) 25.839 * * [simplify]: iters left: 1 (9 enodes) 25.840 * * [simplify]: Extracting #0: cost 1 inf + 0 25.840 * * [simplify]: Extracting #1: cost 3 inf + 0 25.840 * * [simplify]: Extracting #2: cost 5 inf + 0 25.840 * * [simplify]: Extracting #3: cost 4 inf + 1 25.840 * * [simplify]: Extracting #4: cost 0 inf + 325 25.840 * [simplify]: Simplified to (cbrt (sqrt k)) 25.840 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 25.840 * * * * [progress]: [ 113 / 133 ] simplifiying candidate # 25.840 * [simplify]: Simplifying (sqrt (cbrt k)) 25.840 * * [simplify]: iters left: 2 (3 enodes) 25.841 * * [simplify]: iters left: 1 (9 enodes) 25.842 * * [simplify]: Extracting #0: cost 1 inf + 0 25.842 * * [simplify]: Extracting #1: cost 3 inf + 0 25.842 * * [simplify]: Extracting #2: cost 5 inf + 0 25.842 * * [simplify]: Extracting #3: cost 4 inf + 1 25.842 * * [simplify]: Extracting #4: cost 0 inf + 405 25.843 * [simplify]: Simplified to (sqrt (cbrt k)) 25.843 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 25.843 * * * * [progress]: [ 114 / 133 ] simplifiying candidate # 25.843 * [simplify]: Simplifying (sqrt (sqrt k)) 25.843 * * [simplify]: iters left: 2 (3 enodes) 25.843 * * [simplify]: iters left: 1 (9 enodes) 25.845 * * [simplify]: Extracting #0: cost 1 inf + 0 25.845 * * [simplify]: Extracting #1: cost 3 inf + 0 25.845 * * [simplify]: Extracting #2: cost 5 inf + 0 25.845 * * [simplify]: Extracting #3: cost 4 inf + 1 25.845 * * [simplify]: Extracting #4: cost 0 inf + 245 25.845 * [simplify]: Simplified to (sqrt (sqrt k)) 25.845 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 25.845 * * * * [progress]: [ 115 / 133 ] simplifiying candidate # 25.845 * [simplify]: Simplifying (sqrt k) 25.845 * * [simplify]: iters left: 1 (2 enodes) 25.846 * * [simplify]: Extracting #0: cost 1 inf + 0 25.846 * * [simplify]: Extracting #1: cost 3 inf + 0 25.846 * * [simplify]: Extracting #2: cost 2 inf + 1 25.846 * * [simplify]: Extracting #3: cost 0 inf + 83 25.846 * [simplify]: Simplified to (sqrt k) 25.846 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 25.846 * * * * [progress]: [ 116 / 133 ] simplifiying candidate # 25.846 * [simplify]: Simplifying (sqrt (sqrt k)) 25.846 * * [simplify]: iters left: 2 (3 enodes) 25.847 * * [simplify]: iters left: 1 (9 enodes) 25.848 * * [simplify]: Extracting #0: cost 1 inf + 0 25.848 * * [simplify]: Extracting #1: cost 3 inf + 0 25.848 * * [simplify]: Extracting #2: cost 5 inf + 0 25.848 * * [simplify]: Extracting #3: cost 4 inf + 1 25.848 * * [simplify]: Extracting #4: cost 0 inf + 245 25.848 * [simplify]: Simplified to (sqrt (sqrt k)) 25.848 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 25.848 * * * * [progress]: [ 117 / 133 ] simplifiying candidate # 25.848 * [simplify]: Simplifying (sqrt k) 25.848 * * [simplify]: iters left: 1 (2 enodes) 25.849 * * [simplify]: Extracting #0: cost 1 inf + 0 25.849 * * [simplify]: Extracting #1: cost 3 inf + 0 25.849 * * [simplify]: Extracting #2: cost 2 inf + 1 25.849 * * [simplify]: Extracting #3: cost 0 inf + 83 25.849 * [simplify]: Simplified to (sqrt k) 25.849 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 25.849 * * * * [progress]: [ 118 / 133 ] simplifiying candidate # 25.849 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 25.849 * * [simplify]: iters left: 5 (7 enodes) 25.852 * * [simplify]: iters left: 4 (32 enodes) 25.861 * * [simplify]: iters left: 3 (57 enodes) 25.871 * * [simplify]: iters left: 2 (88 enodes) 25.887 * * [simplify]: iters left: 1 (156 enodes) 25.929 * * [simplify]: Extracting #0: cost 1 inf + 0 25.929 * * [simplify]: Extracting #1: cost 13 inf + 0 25.929 * * [simplify]: Extracting #2: cost 49 inf + 2 25.929 * * [simplify]: Extracting #3: cost 80 inf + 6 25.930 * * [simplify]: Extracting #4: cost 58 inf + 1840 25.931 * * [simplify]: Extracting #5: cost 22 inf + 9206 25.934 * * [simplify]: Extracting #6: cost 1 inf + 20886 25.938 * * [simplify]: Extracting #7: cost 0 inf + 21301 25.943 * * [simplify]: Extracting #8: cost 0 inf + 21130 25.951 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 25.951 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 25.951 * * * * [progress]: [ 119 / 133 ] simplifiying candidate # 25.952 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 25.952 * * [simplify]: iters left: 6 (12 enodes) 25.958 * * [simplify]: iters left: 5 (51 enodes) 25.977 * * [simplify]: iters left: 4 (84 enodes) 26.000 * * [simplify]: iters left: 3 (125 enodes) 26.021 * * [simplify]: iters left: 2 (198 enodes) 26.092 * * [simplify]: iters left: 1 (353 enodes) 26.224 * * [simplify]: Extracting #0: cost 1 inf + 0 26.224 * * [simplify]: Extracting #1: cost 3 inf + 0 26.224 * * [simplify]: Extracting #2: cost 5 inf + 0 26.224 * * [simplify]: Extracting #3: cost 28 inf + 0 26.225 * * [simplify]: Extracting #4: cost 101 inf + 1 26.225 * * [simplify]: Extracting #5: cost 136 inf + 176 26.226 * * [simplify]: Extracting #6: cost 126 inf + 1348 26.229 * * [simplify]: Extracting #7: cost 70 inf + 12457 26.236 * * [simplify]: Extracting #8: cost 19 inf + 42176 26.251 * * [simplify]: Extracting #9: cost 0 inf + 57297 26.261 * * [simplify]: Extracting #10: cost 0 inf + 56855 26.272 * * [simplify]: Extracting #11: cost 0 inf + 56816 26.289 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 26.289 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 26.289 * * * * [progress]: [ 120 / 133 ] simplifiying candidate # 26.290 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 26.290 * * [simplify]: iters left: 6 (11 enodes) 26.294 * * [simplify]: iters left: 5 (48 enodes) 26.303 * * [simplify]: iters left: 4 (78 enodes) 26.318 * * [simplify]: iters left: 3 (120 enodes) 26.343 * * [simplify]: iters left: 2 (211 enodes) 26.389 * * [simplify]: iters left: 1 (380 enodes) 26.539 * * [simplify]: Extracting #0: cost 1 inf + 0 26.539 * * [simplify]: Extracting #1: cost 4 inf + 0 26.539 * * [simplify]: Extracting #2: cost 29 inf + 0 26.540 * * [simplify]: Extracting #3: cost 113 inf + 1 26.540 * * [simplify]: Extracting #4: cost 155 inf + 220 26.541 * * [simplify]: Extracting #5: cost 153 inf + 561 26.543 * * [simplify]: Extracting #6: cost 121 inf + 2833 26.546 * * [simplify]: Extracting #7: cost 68 inf + 14038 26.560 * * [simplify]: Extracting #8: cost 15 inf + 50044 26.571 * * [simplify]: Extracting #9: cost 0 inf + 59395 26.584 * * [simplify]: Extracting #10: cost 0 inf + 59194 26.603 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 26.603 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 26.603 * * * * [progress]: [ 121 / 133 ] simplifiying candidate # 26.604 * * * * [progress]: [ 122 / 133 ] simplifiying candidate # 26.604 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 26.604 * * [simplify]: iters left: 6 (11 enodes) 26.611 * * [simplify]: iters left: 5 (51 enodes) 26.630 * * [simplify]: iters left: 4 (87 enodes) 26.660 * * [simplify]: iters left: 3 (143 enodes) 26.710 * * [simplify]: iters left: 2 (259 enodes) 26.777 * * [simplify]: iters left: 1 (469 enodes) 27.007 * * [simplify]: Extracting #0: cost 1 inf + 0 27.007 * * [simplify]: Extracting #1: cost 24 inf + 0 27.008 * * [simplify]: Extracting #2: cost 110 inf + 1 27.009 * * [simplify]: Extracting #3: cost 192 inf + 178 27.011 * * [simplify]: Extracting #4: cost 178 inf + 1845 27.017 * * [simplify]: Extracting #5: cost 89 inf + 12477 27.028 * * [simplify]: Extracting #6: cost 41 inf + 28219 27.046 * * [simplify]: Extracting #7: cost 4 inf + 58625 27.059 * * [simplify]: Extracting #8: cost 0 inf + 62670 27.075 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 27.075 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 27.075 * * * * [progress]: [ 123 / 133 ] simplifiying candidate # 27.075 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 27.075 * * [simplify]: iters left: 5 (8 enodes) 27.078 * * [simplify]: iters left: 4 (35 enodes) 27.088 * * [simplify]: iters left: 3 (63 enodes) 27.112 * * [simplify]: iters left: 2 (108 enodes) 27.143 * * [simplify]: iters left: 1 (162 enodes) 27.193 * * [simplify]: Extracting #0: cost 1 inf + 0 27.193 * * [simplify]: Extracting #1: cost 12 inf + 0 27.193 * * [simplify]: Extracting #2: cost 40 inf + 2 27.193 * * [simplify]: Extracting #3: cost 40 inf + 9 27.194 * * [simplify]: Extracting #4: cost 25 inf + 2233 27.196 * * [simplify]: Extracting #5: cost 10 inf + 8991 27.200 * * [simplify]: Extracting #6: cost 0 inf + 14572 27.203 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 27.204 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 27.204 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 27.204 * * * * [progress]: [ 125 / 133 ] simplifiying candidate # 27.204 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 27.205 * * [simplify]: iters left: 6 (37 enodes) 27.230 * * [simplify]: iters left: 5 (190 enodes) 27.311 * * [simplify]: Extracting #0: cost 1 inf + 0 27.311 * * [simplify]: Extracting #1: cost 22 inf + 0 27.312 * * [simplify]: Extracting #2: cost 108 inf + 1 27.312 * * [simplify]: Extracting #3: cost 171 inf + 46 27.314 * * [simplify]: Extracting #4: cost 189 inf + 427 27.319 * * [simplify]: Extracting #5: cost 128 inf + 16032 27.336 * * [simplify]: Extracting #6: cost 29 inf + 57153 27.363 * * [simplify]: Extracting #7: cost 4 inf + 75884 27.380 * * [simplify]: Extracting #8: cost 0 inf + 78767 27.403 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 27.403 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (sqrt k))) 27.404 * * * * [progress]: [ 126 / 133 ] simplifiying candidate # 27.404 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 27.404 * * [simplify]: iters left: 6 (15 enodes) 27.413 * * [simplify]: iters left: 5 (65 enodes) 27.435 * * [simplify]: iters left: 4 (123 enodes) 27.489 * * [simplify]: iters left: 3 (367 enodes) 27.694 * * [simplify]: Extracting #0: cost 1 inf + 0 27.695 * * [simplify]: Extracting #1: cost 37 inf + 0 27.695 * * [simplify]: Extracting #2: cost 216 inf + 72 27.696 * * [simplify]: Extracting #3: cost 356 inf + 1622 27.705 * * [simplify]: Extracting #4: cost 219 inf + 28945 27.720 * * [simplify]: Extracting #5: cost 21 inf + 83197 27.749 * * [simplify]: Extracting #6: cost 0 inf + 89881 27.772 * * [simplify]: Extracting #7: cost 0 inf + 89729 27.790 * * [simplify]: Extracting #8: cost 0 inf + 89726 27.825 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 27.825 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 27.825 * * * * [progress]: [ 127 / 133 ] simplifiying candidate # 27.826 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 27.826 * * [simplify]: iters left: 6 (16 enodes) 27.836 * * [simplify]: iters left: 5 (67 enodes) 27.860 * * [simplify]: iters left: 4 (134 enodes) 27.912 * * [simplify]: iters left: 3 (413 enodes) 28.107 * * [simplify]: Extracting #0: cost 1 inf + 0 28.107 * * [simplify]: Extracting #1: cost 39 inf + 0 28.107 * * [simplify]: Extracting #2: cost 241 inf + 72 28.109 * * [simplify]: Extracting #3: cost 450 inf + 903 28.112 * * [simplify]: Extracting #4: cost 376 inf + 10375 28.124 * * [simplify]: Extracting #5: cost 158 inf + 67083 28.156 * * [simplify]: Extracting #6: cost 12 inf + 118840 28.193 * * [simplify]: Extracting #7: cost 0 inf + 121984 28.218 * * [simplify]: Extracting #8: cost 0 inf + 121983 28.258 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 28.258 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k))) 28.258 * * * * [progress]: [ 128 / 133 ] simplifiying candidate # 28.259 * [simplify]: Simplifying (* 2 (* n PI)) 28.259 * * [simplify]: iters left: 4 (5 enodes) 28.260 * * [simplify]: iters left: 3 (19 enodes) 28.263 * * [simplify]: iters left: 2 (27 enodes) 28.267 * * [simplify]: iters left: 1 (32 enodes) 28.271 * * [simplify]: Extracting #0: cost 1 inf + 0 28.272 * * [simplify]: Extracting #1: cost 8 inf + 0 28.272 * * [simplify]: Extracting #2: cost 7 inf + 45 28.272 * * [simplify]: Extracting #3: cost 0 inf + 421 28.272 * [simplify]: Simplified to (* (* PI n) 2) 28.272 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.272 * * * * [progress]: [ 129 / 133 ] simplifiying candidate # 28.272 * [simplify]: Simplifying (* 2 (* n PI)) 28.272 * * [simplify]: iters left: 4 (5 enodes) 28.274 * * [simplify]: iters left: 3 (19 enodes) 28.277 * * [simplify]: iters left: 2 (27 enodes) 28.285 * * [simplify]: iters left: 1 (32 enodes) 28.293 * * [simplify]: Extracting #0: cost 1 inf + 0 28.293 * * [simplify]: Extracting #1: cost 8 inf + 0 28.293 * * [simplify]: Extracting #2: cost 7 inf + 45 28.294 * * [simplify]: Extracting #3: cost 0 inf + 421 28.294 * [simplify]: Simplified to (* (* PI n) 2) 28.294 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.294 * * * * [progress]: [ 130 / 133 ] simplifiying candidate # 28.294 * [simplify]: Simplifying (* 2 (* n PI)) 28.295 * * [simplify]: iters left: 4 (5 enodes) 28.297 * * [simplify]: iters left: 3 (19 enodes) 28.304 * * [simplify]: iters left: 2 (27 enodes) 28.312 * * [simplify]: iters left: 1 (32 enodes) 28.321 * * [simplify]: Extracting #0: cost 1 inf + 0 28.321 * * [simplify]: Extracting #1: cost 8 inf + 0 28.321 * * [simplify]: Extracting #2: cost 7 inf + 45 28.321 * * [simplify]: Extracting #3: cost 0 inf + 421 28.322 * [simplify]: Simplified to (* (* PI n) 2) 28.322 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.322 * * * * [progress]: [ 131 / 133 ] simplifiying candidate # 28.322 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 28.323 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.323 * * * * [progress]: [ 132 / 133 ] simplifiying candidate # 28.323 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 28.324 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.324 * * * * [progress]: [ 133 / 133 ] simplifiying candidate # 28.324 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 28.324 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.324 * * * [progress]: adding candidates to table 29.724 * * [progress]: iteration 2 / 4 29.724 * * * [progress]: picking best candidate 29.783 * * * * [pick]: Picked # 29.783 * * * [progress]: localizing error 29.822 * * * [progress]: generating rewritten candidates 29.822 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 29.828 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 29.835 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 29.858 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 29.900 * * * [progress]: generating series expansions 29.900 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 29.900 * [backup-simplify]: Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k))) 29.900 * [approximate]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0 29.900 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 29.900 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 29.900 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 29.900 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.900 * [taylor]: Taking taylor expansion of 1/2 in k 29.900 * [backup-simplify]: Simplify 1/2 into 1/2 29.901 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.901 * [taylor]: Taking taylor expansion of 1 in k 29.901 * [backup-simplify]: Simplify 1 into 1 29.901 * [taylor]: Taking taylor expansion of k in k 29.901 * [backup-simplify]: Simplify 0 into 0 29.901 * [backup-simplify]: Simplify 1 into 1 29.901 * [taylor]: Taking taylor expansion of (log n) in k 29.901 * [taylor]: Taking taylor expansion of n in k 29.901 * [backup-simplify]: Simplify n into n 29.901 * [backup-simplify]: Simplify (log n) into (log n) 29.902 * [backup-simplify]: Simplify (- 0) into 0 29.902 * [backup-simplify]: Simplify (+ 1 0) into 1 29.902 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.903 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 29.903 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 29.903 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 29.903 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 29.903 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 29.903 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.903 * [taylor]: Taking taylor expansion of 1/2 in n 29.903 * [backup-simplify]: Simplify 1/2 into 1/2 29.903 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.903 * [taylor]: Taking taylor expansion of 1 in n 29.903 * [backup-simplify]: Simplify 1 into 1 29.903 * [taylor]: Taking taylor expansion of k in n 29.903 * [backup-simplify]: Simplify k into k 29.903 * [taylor]: Taking taylor expansion of (log n) in n 29.903 * [taylor]: Taking taylor expansion of n in n 29.903 * [backup-simplify]: Simplify 0 into 0 29.903 * [backup-simplify]: Simplify 1 into 1 29.903 * [backup-simplify]: Simplify (log 1) into 0 29.904 * [backup-simplify]: Simplify (- k) into (- k) 29.904 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.904 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.904 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 29.904 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 29.904 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 29.904 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 29.904 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 29.905 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 29.905 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.905 * [taylor]: Taking taylor expansion of 1/2 in n 29.905 * [backup-simplify]: Simplify 1/2 into 1/2 29.905 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.905 * [taylor]: Taking taylor expansion of 1 in n 29.905 * [backup-simplify]: Simplify 1 into 1 29.905 * [taylor]: Taking taylor expansion of k in n 29.905 * [backup-simplify]: Simplify k into k 29.905 * [taylor]: Taking taylor expansion of (log n) in n 29.905 * [taylor]: Taking taylor expansion of n in n 29.905 * [backup-simplify]: Simplify 0 into 0 29.905 * [backup-simplify]: Simplify 1 into 1 29.905 * [backup-simplify]: Simplify (log 1) into 0 29.905 * [backup-simplify]: Simplify (- k) into (- k) 29.905 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.905 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.906 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 29.906 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 29.906 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 29.906 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 29.906 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 29.906 * [taylor]: Taking taylor expansion of 1/2 in k 29.906 * [backup-simplify]: Simplify 1/2 into 1/2 29.906 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 29.906 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.906 * [taylor]: Taking taylor expansion of 1 in k 29.906 * [backup-simplify]: Simplify 1 into 1 29.906 * [taylor]: Taking taylor expansion of k in k 29.906 * [backup-simplify]: Simplify 0 into 0 29.906 * [backup-simplify]: Simplify 1 into 1 29.907 * [taylor]: Taking taylor expansion of (log n) in k 29.907 * [taylor]: Taking taylor expansion of n in k 29.907 * [backup-simplify]: Simplify n into n 29.907 * [backup-simplify]: Simplify (log n) into (log n) 29.907 * [backup-simplify]: Simplify (- 0) into 0 29.907 * [backup-simplify]: Simplify (+ 1 0) into 1 29.908 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 29.908 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 29.908 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 29.908 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2) 29.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 29.914 * [backup-simplify]: Simplify (- 0) into 0 29.915 * [backup-simplify]: Simplify (+ 0 0) into 0 29.915 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 29.916 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 29.916 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 29.917 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 29.917 * [taylor]: Taking taylor expansion of 0 in k 29.917 * [backup-simplify]: Simplify 0 into 0 29.917 * [backup-simplify]: Simplify 0 into 0 29.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.918 * [backup-simplify]: Simplify (- 1) into -1 29.918 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.919 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 29.919 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 29.919 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 29.919 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 29.921 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 29.921 * [backup-simplify]: Simplify (- 0) into 0 29.921 * [backup-simplify]: Simplify (+ 0 0) into 0 29.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 29.922 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 29.922 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 29.923 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.923 * [taylor]: Taking taylor expansion of 0 in k 29.923 * [backup-simplify]: Simplify 0 into 0 29.923 * [backup-simplify]: Simplify 0 into 0 29.923 * [backup-simplify]: Simplify 0 into 0 29.924 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.924 * [backup-simplify]: Simplify (- 0) into 0 29.925 * [backup-simplify]: Simplify (+ 0 0) into 0 29.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 29.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 29.926 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 29.926 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 29.926 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 29.927 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) 29.927 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 29.927 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 29.927 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 29.927 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 29.927 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.927 * [taylor]: Taking taylor expansion of 1/2 in k 29.927 * [backup-simplify]: Simplify 1/2 into 1/2 29.927 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.927 * [taylor]: Taking taylor expansion of 1 in k 29.927 * [backup-simplify]: Simplify 1 into 1 29.927 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.927 * [taylor]: Taking taylor expansion of k in k 29.927 * [backup-simplify]: Simplify 0 into 0 29.927 * [backup-simplify]: Simplify 1 into 1 29.927 * [backup-simplify]: Simplify (/ 1 1) into 1 29.927 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 29.927 * [taylor]: Taking taylor expansion of (/ 1 n) in k 29.927 * [taylor]: Taking taylor expansion of n in k 29.927 * [backup-simplify]: Simplify n into n 29.927 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 29.927 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 29.927 * [backup-simplify]: Simplify (- 1) into -1 29.928 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.928 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.928 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 29.928 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 29.928 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 29.928 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 29.928 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 29.928 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.928 * [taylor]: Taking taylor expansion of 1/2 in n 29.928 * [backup-simplify]: Simplify 1/2 into 1/2 29.928 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.928 * [taylor]: Taking taylor expansion of 1 in n 29.928 * [backup-simplify]: Simplify 1 into 1 29.928 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.928 * [taylor]: Taking taylor expansion of k in n 29.928 * [backup-simplify]: Simplify k into k 29.928 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.928 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 29.928 * [taylor]: Taking taylor expansion of (/ 1 n) in n 29.928 * [taylor]: Taking taylor expansion of n in n 29.928 * [backup-simplify]: Simplify 0 into 0 29.928 * [backup-simplify]: Simplify 1 into 1 29.929 * [backup-simplify]: Simplify (/ 1 1) into 1 29.929 * [backup-simplify]: Simplify (log 1) into 0 29.929 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.929 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.929 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.929 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 29.929 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 29.930 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 29.930 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 29.930 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 29.930 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 29.930 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.930 * [taylor]: Taking taylor expansion of 1/2 in n 29.930 * [backup-simplify]: Simplify 1/2 into 1/2 29.930 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.930 * [taylor]: Taking taylor expansion of 1 in n 29.930 * [backup-simplify]: Simplify 1 into 1 29.930 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.930 * [taylor]: Taking taylor expansion of k in n 29.930 * [backup-simplify]: Simplify k into k 29.930 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.930 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 29.930 * [taylor]: Taking taylor expansion of (/ 1 n) in n 29.930 * [taylor]: Taking taylor expansion of n in n 29.930 * [backup-simplify]: Simplify 0 into 0 29.930 * [backup-simplify]: Simplify 1 into 1 29.930 * [backup-simplify]: Simplify (/ 1 1) into 1 29.930 * [backup-simplify]: Simplify (log 1) into 0 29.930 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.931 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.931 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.931 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 29.931 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 29.931 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 29.931 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 29.931 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 29.931 * [taylor]: Taking taylor expansion of -1/2 in k 29.931 * [backup-simplify]: Simplify -1/2 into -1/2 29.931 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 29.931 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.931 * [taylor]: Taking taylor expansion of 1 in k 29.931 * [backup-simplify]: Simplify 1 into 1 29.931 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.931 * [taylor]: Taking taylor expansion of k in k 29.931 * [backup-simplify]: Simplify 0 into 0 29.931 * [backup-simplify]: Simplify 1 into 1 29.932 * [backup-simplify]: Simplify (/ 1 1) into 1 29.932 * [taylor]: Taking taylor expansion of (log n) in k 29.932 * [taylor]: Taking taylor expansion of n in k 29.932 * [backup-simplify]: Simplify n into n 29.932 * [backup-simplify]: Simplify (log n) into (log n) 29.932 * [backup-simplify]: Simplify (- 1) into -1 29.932 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.932 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 29.932 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 29.932 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 29.932 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 29.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 29.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.934 * [backup-simplify]: Simplify (- 0) into 0 29.934 * [backup-simplify]: Simplify (+ 0 0) into 0 29.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 29.935 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 29.935 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 29.936 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 29.936 * [taylor]: Taking taylor expansion of 0 in k 29.936 * [backup-simplify]: Simplify 0 into 0 29.936 * [backup-simplify]: Simplify 0 into 0 29.936 * [backup-simplify]: Simplify 0 into 0 29.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.938 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 29.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.938 * [backup-simplify]: Simplify (- 0) into 0 29.939 * [backup-simplify]: Simplify (+ 0 0) into 0 29.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 29.939 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 29.940 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 29.941 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.941 * [taylor]: Taking taylor expansion of 0 in k 29.941 * [backup-simplify]: Simplify 0 into 0 29.941 * [backup-simplify]: Simplify 0 into 0 29.941 * [backup-simplify]: Simplify 0 into 0 29.941 * [backup-simplify]: Simplify 0 into 0 29.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.944 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 29.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.945 * [backup-simplify]: Simplify (- 0) into 0 29.945 * [backup-simplify]: Simplify (+ 0 0) into 0 29.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 29.946 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 29.946 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 29.947 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.947 * [taylor]: Taking taylor expansion of 0 in k 29.947 * [backup-simplify]: Simplify 0 into 0 29.948 * [backup-simplify]: Simplify 0 into 0 29.948 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 29.948 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) 29.948 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 29.948 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 29.948 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 29.948 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 29.948 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.948 * [taylor]: Taking taylor expansion of 1/2 in k 29.948 * [backup-simplify]: Simplify 1/2 into 1/2 29.948 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.948 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.948 * [taylor]: Taking taylor expansion of k in k 29.948 * [backup-simplify]: Simplify 0 into 0 29.948 * [backup-simplify]: Simplify 1 into 1 29.948 * [backup-simplify]: Simplify (/ 1 1) into 1 29.948 * [taylor]: Taking taylor expansion of 1 in k 29.948 * [backup-simplify]: Simplify 1 into 1 29.948 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 29.948 * [taylor]: Taking taylor expansion of (/ -1 n) in k 29.948 * [taylor]: Taking taylor expansion of -1 in k 29.948 * [backup-simplify]: Simplify -1 into -1 29.948 * [taylor]: Taking taylor expansion of n in k 29.948 * [backup-simplify]: Simplify n into n 29.948 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 29.948 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 29.949 * [backup-simplify]: Simplify (+ 1 0) into 1 29.949 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.949 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 29.949 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 29.949 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 29.949 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 29.949 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 29.949 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.949 * [taylor]: Taking taylor expansion of 1/2 in n 29.950 * [backup-simplify]: Simplify 1/2 into 1/2 29.950 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.950 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.950 * [taylor]: Taking taylor expansion of k in n 29.950 * [backup-simplify]: Simplify k into k 29.950 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.950 * [taylor]: Taking taylor expansion of 1 in n 29.950 * [backup-simplify]: Simplify 1 into 1 29.950 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 29.950 * [taylor]: Taking taylor expansion of (/ -1 n) in n 29.950 * [taylor]: Taking taylor expansion of -1 in n 29.950 * [backup-simplify]: Simplify -1 into -1 29.950 * [taylor]: Taking taylor expansion of n in n 29.950 * [backup-simplify]: Simplify 0 into 0 29.950 * [backup-simplify]: Simplify 1 into 1 29.950 * [backup-simplify]: Simplify (/ -1 1) into -1 29.951 * [backup-simplify]: Simplify (log -1) into (log -1) 29.951 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.951 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.952 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 29.953 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 29.953 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 29.953 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 29.953 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 29.953 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 29.953 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.953 * [taylor]: Taking taylor expansion of 1/2 in n 29.953 * [backup-simplify]: Simplify 1/2 into 1/2 29.953 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.953 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.953 * [taylor]: Taking taylor expansion of k in n 29.953 * [backup-simplify]: Simplify k into k 29.953 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.954 * [taylor]: Taking taylor expansion of 1 in n 29.954 * [backup-simplify]: Simplify 1 into 1 29.954 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 29.954 * [taylor]: Taking taylor expansion of (/ -1 n) in n 29.954 * [taylor]: Taking taylor expansion of -1 in n 29.954 * [backup-simplify]: Simplify -1 into -1 29.954 * [taylor]: Taking taylor expansion of n in n 29.954 * [backup-simplify]: Simplify 0 into 0 29.954 * [backup-simplify]: Simplify 1 into 1 29.954 * [backup-simplify]: Simplify (/ -1 1) into -1 29.955 * [backup-simplify]: Simplify (log -1) into (log -1) 29.955 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.955 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.956 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 29.957 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 29.957 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 29.957 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 29.957 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 29.957 * [taylor]: Taking taylor expansion of 1/2 in k 29.958 * [backup-simplify]: Simplify 1/2 into 1/2 29.958 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 29.958 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.958 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.958 * [taylor]: Taking taylor expansion of k in k 29.958 * [backup-simplify]: Simplify 0 into 0 29.958 * [backup-simplify]: Simplify 1 into 1 29.958 * [backup-simplify]: Simplify (/ 1 1) into 1 29.958 * [taylor]: Taking taylor expansion of 1 in k 29.958 * [backup-simplify]: Simplify 1 into 1 29.958 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 29.958 * [taylor]: Taking taylor expansion of (log -1) in k 29.958 * [taylor]: Taking taylor expansion of -1 in k 29.958 * [backup-simplify]: Simplify -1 into -1 29.959 * [backup-simplify]: Simplify (log -1) into (log -1) 29.959 * [taylor]: Taking taylor expansion of (log n) in k 29.959 * [taylor]: Taking taylor expansion of n in k 29.959 * [backup-simplify]: Simplify n into n 29.959 * [backup-simplify]: Simplify (log n) into (log n) 29.959 * [backup-simplify]: Simplify (+ 1 0) into 1 29.959 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.960 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 29.960 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 29.961 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 29.961 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 29.962 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 29.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.964 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 29.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.965 * [backup-simplify]: Simplify (+ 0 0) into 0 29.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 29.966 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 29.966 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 29.968 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.968 * [taylor]: Taking taylor expansion of 0 in k 29.968 * [backup-simplify]: Simplify 0 into 0 29.968 * [backup-simplify]: Simplify 0 into 0 29.968 * [backup-simplify]: Simplify 0 into 0 29.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.971 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 29.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.971 * [backup-simplify]: Simplify (+ 0 0) into 0 29.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 29.973 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 29.973 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 29.974 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.974 * [taylor]: Taking taylor expansion of 0 in k 29.974 * [backup-simplify]: Simplify 0 into 0 29.974 * [backup-simplify]: Simplify 0 into 0 29.974 * [backup-simplify]: Simplify 0 into 0 29.974 * [backup-simplify]: Simplify 0 into 0 29.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.978 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 29.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.978 * [backup-simplify]: Simplify (+ 0 0) into 0 29.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 29.979 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 29.980 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 29.981 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.981 * [taylor]: Taking taylor expansion of 0 in k 29.981 * [backup-simplify]: Simplify 0 into 0 29.981 * [backup-simplify]: Simplify 0 into 0 29.982 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 29.982 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 29.982 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 k) 2)) into (pow (* 2 PI) (* 1/2 (- 1 k))) 29.982 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in (k) around 0 29.982 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 29.982 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 29.982 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 29.982 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.982 * [taylor]: Taking taylor expansion of 1/2 in k 29.982 * [backup-simplify]: Simplify 1/2 into 1/2 29.982 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.982 * [taylor]: Taking taylor expansion of 1 in k 29.982 * [backup-simplify]: Simplify 1 into 1 29.982 * [taylor]: Taking taylor expansion of k in k 29.982 * [backup-simplify]: Simplify 0 into 0 29.982 * [backup-simplify]: Simplify 1 into 1 29.982 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.982 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.982 * [taylor]: Taking taylor expansion of 2 in k 29.983 * [backup-simplify]: Simplify 2 into 2 29.983 * [taylor]: Taking taylor expansion of PI in k 29.983 * [backup-simplify]: Simplify PI into PI 29.983 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.983 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.984 * [backup-simplify]: Simplify (- 0) into 0 29.984 * [backup-simplify]: Simplify (+ 1 0) into 1 29.984 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.985 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 29.986 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 29.986 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 29.987 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 29.987 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 29.987 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.987 * [taylor]: Taking taylor expansion of 1/2 in k 29.987 * [backup-simplify]: Simplify 1/2 into 1/2 29.987 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.987 * [taylor]: Taking taylor expansion of 1 in k 29.987 * [backup-simplify]: Simplify 1 into 1 29.987 * [taylor]: Taking taylor expansion of k in k 29.987 * [backup-simplify]: Simplify 0 into 0 29.987 * [backup-simplify]: Simplify 1 into 1 29.987 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.987 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.987 * [taylor]: Taking taylor expansion of 2 in k 29.987 * [backup-simplify]: Simplify 2 into 2 29.987 * [taylor]: Taking taylor expansion of PI in k 29.987 * [backup-simplify]: Simplify PI into PI 29.987 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.988 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.988 * [backup-simplify]: Simplify (- 0) into 0 29.988 * [backup-simplify]: Simplify (+ 1 0) into 1 29.988 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.989 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 29.991 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 29.992 * [backup-simplify]: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 29.992 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.993 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.993 * [backup-simplify]: Simplify (- 1) into -1 29.994 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.994 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 29.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 30.002 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 30.006 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 30.007 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.011 * [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 30.011 * [backup-simplify]: Simplify (- 0) into 0 30.011 * [backup-simplify]: Simplify (+ 0 0) into 0 30.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 30.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 30.034 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 30.039 * [backup-simplify]: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 30.050 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 30.051 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) 30.051 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in (k) around 0 30.051 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 30.051 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 30.051 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 30.051 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.051 * [taylor]: Taking taylor expansion of 1/2 in k 30.051 * [backup-simplify]: Simplify 1/2 into 1/2 30.051 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.051 * [taylor]: Taking taylor expansion of 1 in k 30.051 * [backup-simplify]: Simplify 1 into 1 30.051 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.051 * [taylor]: Taking taylor expansion of k in k 30.051 * [backup-simplify]: Simplify 0 into 0 30.052 * [backup-simplify]: Simplify 1 into 1 30.052 * [backup-simplify]: Simplify (/ 1 1) into 1 30.052 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.052 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.052 * [taylor]: Taking taylor expansion of 2 in k 30.052 * [backup-simplify]: Simplify 2 into 2 30.052 * [taylor]: Taking taylor expansion of PI in k 30.052 * [backup-simplify]: Simplify PI into PI 30.052 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.053 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.054 * [backup-simplify]: Simplify (- 1) into -1 30.054 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.055 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.056 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 30.057 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.057 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 30.057 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 30.057 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 30.057 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.057 * [taylor]: Taking taylor expansion of 1/2 in k 30.057 * [backup-simplify]: Simplify 1/2 into 1/2 30.058 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.058 * [taylor]: Taking taylor expansion of 1 in k 30.058 * [backup-simplify]: Simplify 1 into 1 30.058 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.058 * [taylor]: Taking taylor expansion of k in k 30.058 * [backup-simplify]: Simplify 0 into 0 30.058 * [backup-simplify]: Simplify 1 into 1 30.058 * [backup-simplify]: Simplify (/ 1 1) into 1 30.058 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.058 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.058 * [taylor]: Taking taylor expansion of 2 in k 30.058 * [backup-simplify]: Simplify 2 into 2 30.058 * [taylor]: Taking taylor expansion of PI in k 30.058 * [backup-simplify]: Simplify PI into PI 30.059 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.060 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.060 * [backup-simplify]: Simplify (- 1) into -1 30.060 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.061 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.062 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 30.064 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.065 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.065 * [backup-simplify]: Simplify 0 into 0 30.065 * [backup-simplify]: Simplify 0 into 0 30.065 * [backup-simplify]: Simplify 0 into 0 30.065 * [backup-simplify]: Simplify 0 into 0 30.065 * [backup-simplify]: Simplify 0 into 0 30.065 * [backup-simplify]: Simplify 0 into 0 30.066 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 30.067 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) 30.067 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in (k) around 0 30.067 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 30.067 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 30.067 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 30.067 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.067 * [taylor]: Taking taylor expansion of 1/2 in k 30.067 * [backup-simplify]: Simplify 1/2 into 1/2 30.067 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.067 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.067 * [taylor]: Taking taylor expansion of k in k 30.067 * [backup-simplify]: Simplify 0 into 0 30.067 * [backup-simplify]: Simplify 1 into 1 30.068 * [backup-simplify]: Simplify (/ 1 1) into 1 30.068 * [taylor]: Taking taylor expansion of 1 in k 30.068 * [backup-simplify]: Simplify 1 into 1 30.068 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.068 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.068 * [taylor]: Taking taylor expansion of 2 in k 30.068 * [backup-simplify]: Simplify 2 into 2 30.068 * [taylor]: Taking taylor expansion of PI in k 30.068 * [backup-simplify]: Simplify PI into PI 30.069 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.070 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.070 * [backup-simplify]: Simplify (+ 1 0) into 1 30.071 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.072 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.073 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.074 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 30.074 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 30.074 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 30.074 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.074 * [taylor]: Taking taylor expansion of 1/2 in k 30.074 * [backup-simplify]: Simplify 1/2 into 1/2 30.074 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.074 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.074 * [taylor]: Taking taylor expansion of k in k 30.074 * [backup-simplify]: Simplify 0 into 0 30.074 * [backup-simplify]: Simplify 1 into 1 30.074 * [backup-simplify]: Simplify (/ 1 1) into 1 30.074 * [taylor]: Taking taylor expansion of 1 in k 30.074 * [backup-simplify]: Simplify 1 into 1 30.074 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.074 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.074 * [taylor]: Taking taylor expansion of 2 in k 30.075 * [backup-simplify]: Simplify 2 into 2 30.075 * [taylor]: Taking taylor expansion of PI in k 30.075 * [backup-simplify]: Simplify PI into PI 30.075 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.076 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.077 * [backup-simplify]: Simplify (+ 1 0) into 1 30.077 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.079 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.080 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.081 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.081 * [backup-simplify]: Simplify 0 into 0 30.081 * [backup-simplify]: Simplify 0 into 0 30.081 * [backup-simplify]: Simplify 0 into 0 30.082 * [backup-simplify]: Simplify 0 into 0 30.082 * [backup-simplify]: Simplify 0 into 0 30.082 * [backup-simplify]: Simplify 0 into 0 30.083 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 30.083 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 30.084 * [backup-simplify]: Simplify (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) into (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) 30.084 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in (n k) around 0 30.084 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in k 30.084 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 30.084 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 30.084 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 30.084 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.084 * [taylor]: Taking taylor expansion of 1/2 in k 30.084 * [backup-simplify]: Simplify 1/2 into 1/2 30.084 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.084 * [taylor]: Taking taylor expansion of 1 in k 30.084 * [backup-simplify]: Simplify 1 into 1 30.084 * [taylor]: Taking taylor expansion of k in k 30.084 * [backup-simplify]: Simplify 0 into 0 30.084 * [backup-simplify]: Simplify 1 into 1 30.084 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.084 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.084 * [taylor]: Taking taylor expansion of 2 in k 30.085 * [backup-simplify]: Simplify 2 into 2 30.085 * [taylor]: Taking taylor expansion of PI in k 30.085 * [backup-simplify]: Simplify PI into PI 30.085 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.086 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.086 * [backup-simplify]: Simplify (- 0) into 0 30.087 * [backup-simplify]: Simplify (+ 1 0) into 1 30.087 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.089 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.091 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 30.091 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 30.091 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 30.091 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 30.091 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.091 * [taylor]: Taking taylor expansion of 1/2 in k 30.091 * [backup-simplify]: Simplify 1/2 into 1/2 30.091 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.091 * [taylor]: Taking taylor expansion of 1 in k 30.091 * [backup-simplify]: Simplify 1 into 1 30.091 * [taylor]: Taking taylor expansion of k in k 30.091 * [backup-simplify]: Simplify 0 into 0 30.091 * [backup-simplify]: Simplify 1 into 1 30.091 * [taylor]: Taking taylor expansion of (log n) in k 30.091 * [taylor]: Taking taylor expansion of n in k 30.091 * [backup-simplify]: Simplify n into n 30.091 * [backup-simplify]: Simplify (log n) into (log n) 30.092 * [backup-simplify]: Simplify (- 0) into 0 30.092 * [backup-simplify]: Simplify (+ 1 0) into 1 30.092 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.092 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 30.092 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 30.092 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 30.092 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in n 30.092 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in n 30.092 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in n 30.092 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.092 * [taylor]: Taking taylor expansion of 1/2 in n 30.092 * [backup-simplify]: Simplify 1/2 into 1/2 30.092 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.092 * [taylor]: Taking taylor expansion of 1 in n 30.092 * [backup-simplify]: Simplify 1 into 1 30.092 * [taylor]: Taking taylor expansion of k in n 30.092 * [backup-simplify]: Simplify k into k 30.092 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.093 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.093 * [taylor]: Taking taylor expansion of 2 in n 30.093 * [backup-simplify]: Simplify 2 into 2 30.093 * [taylor]: Taking taylor expansion of PI in n 30.093 * [backup-simplify]: Simplify PI into PI 30.093 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.093 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.094 * [backup-simplify]: Simplify (- k) into (- k) 30.094 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.094 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.094 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI)))) 30.095 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 30.095 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 30.095 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 30.095 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 30.095 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.095 * [taylor]: Taking taylor expansion of 1/2 in n 30.095 * [backup-simplify]: Simplify 1/2 into 1/2 30.095 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.095 * [taylor]: Taking taylor expansion of 1 in n 30.095 * [backup-simplify]: Simplify 1 into 1 30.095 * [taylor]: Taking taylor expansion of k in n 30.095 * [backup-simplify]: Simplify k into k 30.095 * [taylor]: Taking taylor expansion of (log n) in n 30.095 * [taylor]: Taking taylor expansion of n in n 30.095 * [backup-simplify]: Simplify 0 into 0 30.095 * [backup-simplify]: Simplify 1 into 1 30.095 * [backup-simplify]: Simplify (log 1) into 0 30.095 * [backup-simplify]: Simplify (- k) into (- k) 30.095 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.096 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.096 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.096 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 30.096 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 30.096 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 30.096 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in n 30.096 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in n 30.096 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in n 30.096 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.096 * [taylor]: Taking taylor expansion of 1/2 in n 30.096 * [backup-simplify]: Simplify 1/2 into 1/2 30.096 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.096 * [taylor]: Taking taylor expansion of 1 in n 30.096 * [backup-simplify]: Simplify 1 into 1 30.096 * [taylor]: Taking taylor expansion of k in n 30.096 * [backup-simplify]: Simplify k into k 30.096 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.096 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.096 * [taylor]: Taking taylor expansion of 2 in n 30.096 * [backup-simplify]: Simplify 2 into 2 30.096 * [taylor]: Taking taylor expansion of PI in n 30.096 * [backup-simplify]: Simplify PI into PI 30.097 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.097 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.097 * [backup-simplify]: Simplify (- k) into (- k) 30.097 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.097 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.098 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI)))) 30.099 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 30.099 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 30.099 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 30.099 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 30.099 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.099 * [taylor]: Taking taylor expansion of 1/2 in n 30.099 * [backup-simplify]: Simplify 1/2 into 1/2 30.099 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.099 * [taylor]: Taking taylor expansion of 1 in n 30.099 * [backup-simplify]: Simplify 1 into 1 30.099 * [taylor]: Taking taylor expansion of k in n 30.099 * [backup-simplify]: Simplify k into k 30.099 * [taylor]: Taking taylor expansion of (log n) in n 30.099 * [taylor]: Taking taylor expansion of n in n 30.099 * [backup-simplify]: Simplify 0 into 0 30.099 * [backup-simplify]: Simplify 1 into 1 30.099 * [backup-simplify]: Simplify (log 1) into 0 30.099 * [backup-simplify]: Simplify (- k) into (- k) 30.099 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.099 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.099 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.099 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 30.100 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 30.100 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (log n))))) into (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) 30.100 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) in k 30.100 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 30.100 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 30.100 * [taylor]: Taking taylor expansion of 1/2 in k 30.100 * [backup-simplify]: Simplify 1/2 into 1/2 30.100 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 30.100 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.100 * [taylor]: Taking taylor expansion of 1 in k 30.100 * [backup-simplify]: Simplify 1 into 1 30.100 * [taylor]: Taking taylor expansion of k in k 30.100 * [backup-simplify]: Simplify 0 into 0 30.101 * [backup-simplify]: Simplify 1 into 1 30.101 * [taylor]: Taking taylor expansion of (log n) in k 30.101 * [taylor]: Taking taylor expansion of n in k 30.101 * [backup-simplify]: Simplify n into n 30.101 * [backup-simplify]: Simplify (log n) into (log n) 30.101 * [backup-simplify]: Simplify (- 0) into 0 30.101 * [backup-simplify]: Simplify (+ 1 0) into 1 30.101 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 30.101 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 30.101 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 30.101 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) in k 30.101 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log (* 2 PI)))) in k 30.101 * [taylor]: Taking taylor expansion of 1/2 in k 30.101 * [backup-simplify]: Simplify 1/2 into 1/2 30.101 * [taylor]: Taking taylor expansion of (* (- 1 k) (log (* 2 PI))) in k 30.101 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.101 * [taylor]: Taking taylor expansion of 1 in k 30.101 * [backup-simplify]: Simplify 1 into 1 30.102 * [taylor]: Taking taylor expansion of k in k 30.102 * [backup-simplify]: Simplify 0 into 0 30.102 * [backup-simplify]: Simplify 1 into 1 30.102 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.102 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.102 * [taylor]: Taking taylor expansion of 2 in k 30.102 * [backup-simplify]: Simplify 2 into 2 30.102 * [taylor]: Taking taylor expansion of PI in k 30.102 * [backup-simplify]: Simplify PI into PI 30.102 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.103 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.103 * [backup-simplify]: Simplify (- 0) into 0 30.104 * [backup-simplify]: Simplify (+ 1 0) into 1 30.105 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 30.106 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.107 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 30.108 * [backup-simplify]: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 30.108 * [backup-simplify]: Simplify (sqrt (* PI (* n 2))) into (* (sqrt 2) (sqrt (* n PI))) 30.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 30.109 * [backup-simplify]: Simplify (- 0) into 0 30.109 * [backup-simplify]: Simplify (+ 0 0) into 0 30.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 30.110 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.110 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 30.110 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 30.111 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.112 * [backup-simplify]: Simplify (- 0) into 0 30.112 * [backup-simplify]: Simplify (+ 0 0) into 0 30.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 30.113 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log (* 2 PI)))) into 0 30.115 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.115 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))) into 0 30.115 * [taylor]: Taking taylor expansion of 0 in k 30.115 * [backup-simplify]: Simplify 0 into 0 30.115 * [backup-simplify]: Simplify 0 into 0 30.116 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.117 * [backup-simplify]: Simplify (- 1) into -1 30.117 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.120 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log (* 2 PI)))) into (- (log (* 2 PI))) 30.124 * [backup-simplify]: Simplify (+ (* 1/2 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 30.136 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 30.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.137 * [backup-simplify]: Simplify (- 1) into -1 30.138 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.138 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 30.138 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 30.139 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 30.144 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 30.147 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 30.155 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 30.156 * [backup-simplify]: Simplify (- 0) into 0 30.157 * [backup-simplify]: Simplify (+ 0 0) into 0 30.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 30.158 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.158 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 30.160 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.164 * [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 30.165 * [backup-simplify]: Simplify (- 0) into 0 30.165 * [backup-simplify]: Simplify (+ 0 0) into 0 30.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 30.167 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 30.169 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.171 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 30.171 * [taylor]: Taking taylor expansion of 0 in k 30.171 * [backup-simplify]: Simplify 0 into 0 30.171 * [backup-simplify]: Simplify 0 into 0 30.171 * [backup-simplify]: Simplify 0 into 0 30.171 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.173 * [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 30.173 * [backup-simplify]: Simplify (- 0) into 0 30.174 * [backup-simplify]: Simplify (+ 0 0) into 0 30.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log (* 2 PI))))) into 0 30.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI))))) into 0 30.183 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 30.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.184 * [backup-simplify]: Simplify (- 0) into 0 30.184 * [backup-simplify]: Simplify (+ 0 0) into 0 30.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 30.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 30.186 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 30.192 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 30.195 * [backup-simplify]: Simplify (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 30.201 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) (* k 1)) (* (sqrt 2) (sqrt (* n PI))))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (sqrt 2) (* (pow k 2) (* (log n) (log (* 2 PI))))) (sqrt (* n PI)))) (* (sqrt 2) (sqrt (* n PI)))))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))))) 30.201 * [backup-simplify]: Simplify (* (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2))) into (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) 30.201 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in (n k) around 0 30.201 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in k 30.201 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 30.201 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 30.201 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 30.201 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.201 * [taylor]: Taking taylor expansion of 1/2 in k 30.201 * [backup-simplify]: Simplify 1/2 into 1/2 30.201 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.201 * [taylor]: Taking taylor expansion of 1 in k 30.201 * [backup-simplify]: Simplify 1 into 1 30.201 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.201 * [taylor]: Taking taylor expansion of k in k 30.201 * [backup-simplify]: Simplify 0 into 0 30.201 * [backup-simplify]: Simplify 1 into 1 30.202 * [backup-simplify]: Simplify (/ 1 1) into 1 30.202 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 30.202 * [taylor]: Taking taylor expansion of (/ 1 n) in k 30.202 * [taylor]: Taking taylor expansion of n in k 30.202 * [backup-simplify]: Simplify n into n 30.202 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 30.202 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 30.202 * [backup-simplify]: Simplify (- 1) into -1 30.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.203 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.203 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 30.203 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 30.203 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 30.203 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 30.203 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 30.203 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.204 * [taylor]: Taking taylor expansion of 1/2 in k 30.204 * [backup-simplify]: Simplify 1/2 into 1/2 30.204 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.204 * [taylor]: Taking taylor expansion of 1 in k 30.204 * [backup-simplify]: Simplify 1 into 1 30.204 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.204 * [taylor]: Taking taylor expansion of k in k 30.204 * [backup-simplify]: Simplify 0 into 0 30.204 * [backup-simplify]: Simplify 1 into 1 30.204 * [backup-simplify]: Simplify (/ 1 1) into 1 30.204 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.204 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.204 * [taylor]: Taking taylor expansion of 2 in k 30.204 * [backup-simplify]: Simplify 2 into 2 30.204 * [taylor]: Taking taylor expansion of PI in k 30.204 * [backup-simplify]: Simplify PI into PI 30.205 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.206 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.206 * [backup-simplify]: Simplify (- 1) into -1 30.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.207 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.209 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 30.210 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.210 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in n 30.210 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 30.210 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 30.210 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 30.210 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.210 * [taylor]: Taking taylor expansion of 1/2 in n 30.210 * [backup-simplify]: Simplify 1/2 into 1/2 30.210 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.210 * [taylor]: Taking taylor expansion of 1 in n 30.210 * [backup-simplify]: Simplify 1 into 1 30.210 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.210 * [taylor]: Taking taylor expansion of k in n 30.210 * [backup-simplify]: Simplify k into k 30.210 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.210 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 30.210 * [taylor]: Taking taylor expansion of (/ 1 n) in n 30.210 * [taylor]: Taking taylor expansion of n in n 30.210 * [backup-simplify]: Simplify 0 into 0 30.210 * [backup-simplify]: Simplify 1 into 1 30.211 * [backup-simplify]: Simplify (/ 1 1) into 1 30.211 * [backup-simplify]: Simplify (log 1) into 0 30.211 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.211 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.211 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.212 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.212 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 30.212 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 30.212 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in n 30.212 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 30.212 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in n 30.212 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.212 * [taylor]: Taking taylor expansion of 1/2 in n 30.212 * [backup-simplify]: Simplify 1/2 into 1/2 30.212 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.212 * [taylor]: Taking taylor expansion of 1 in n 30.212 * [backup-simplify]: Simplify 1 into 1 30.212 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.212 * [taylor]: Taking taylor expansion of k in n 30.212 * [backup-simplify]: Simplify k into k 30.212 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.212 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.212 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.212 * [taylor]: Taking taylor expansion of 2 in n 30.212 * [backup-simplify]: Simplify 2 into 2 30.212 * [taylor]: Taking taylor expansion of PI in n 30.212 * [backup-simplify]: Simplify PI into PI 30.213 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.214 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.214 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.214 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.214 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.215 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 30.216 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.216 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in n 30.216 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 30.216 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 30.216 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 30.216 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.216 * [taylor]: Taking taylor expansion of 1/2 in n 30.216 * [backup-simplify]: Simplify 1/2 into 1/2 30.216 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.216 * [taylor]: Taking taylor expansion of 1 in n 30.216 * [backup-simplify]: Simplify 1 into 1 30.216 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.216 * [taylor]: Taking taylor expansion of k in n 30.217 * [backup-simplify]: Simplify k into k 30.217 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.217 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 30.217 * [taylor]: Taking taylor expansion of (/ 1 n) in n 30.217 * [taylor]: Taking taylor expansion of n in n 30.217 * [backup-simplify]: Simplify 0 into 0 30.217 * [backup-simplify]: Simplify 1 into 1 30.217 * [backup-simplify]: Simplify (/ 1 1) into 1 30.217 * [backup-simplify]: Simplify (log 1) into 0 30.217 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.218 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.218 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.218 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.218 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 30.218 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 30.218 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in n 30.218 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 30.218 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in n 30.218 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.219 * [taylor]: Taking taylor expansion of 1/2 in n 30.219 * [backup-simplify]: Simplify 1/2 into 1/2 30.219 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.219 * [taylor]: Taking taylor expansion of 1 in n 30.219 * [backup-simplify]: Simplify 1 into 1 30.219 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.219 * [taylor]: Taking taylor expansion of k in n 30.219 * [backup-simplify]: Simplify k into k 30.219 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.219 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.219 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.219 * [taylor]: Taking taylor expansion of 2 in n 30.219 * [backup-simplify]: Simplify 2 into 2 30.219 * [taylor]: Taking taylor expansion of PI in n 30.219 * [backup-simplify]: Simplify PI into PI 30.219 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.220 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.220 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.220 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.220 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.220 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 30.221 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.222 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 30.222 * [taylor]: Taking taylor expansion of (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) in k 30.222 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 30.222 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 30.222 * [taylor]: Taking taylor expansion of -1/2 in k 30.222 * [backup-simplify]: Simplify -1/2 into -1/2 30.222 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 30.222 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.222 * [taylor]: Taking taylor expansion of 1 in k 30.222 * [backup-simplify]: Simplify 1 into 1 30.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.222 * [taylor]: Taking taylor expansion of k in k 30.222 * [backup-simplify]: Simplify 0 into 0 30.222 * [backup-simplify]: Simplify 1 into 1 30.222 * [backup-simplify]: Simplify (/ 1 1) into 1 30.222 * [taylor]: Taking taylor expansion of (log n) in k 30.222 * [taylor]: Taking taylor expansion of n in k 30.222 * [backup-simplify]: Simplify n into n 30.222 * [backup-simplify]: Simplify (log n) into (log n) 30.223 * [backup-simplify]: Simplify (- 1) into -1 30.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.223 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 30.223 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 30.223 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 30.223 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in k 30.223 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in k 30.223 * [taylor]: Taking taylor expansion of 1/2 in k 30.223 * [backup-simplify]: Simplify 1/2 into 1/2 30.223 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in k 30.223 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.223 * [taylor]: Taking taylor expansion of 1 in k 30.223 * [backup-simplify]: Simplify 1 into 1 30.223 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.223 * [taylor]: Taking taylor expansion of k in k 30.223 * [backup-simplify]: Simplify 0 into 0 30.223 * [backup-simplify]: Simplify 1 into 1 30.224 * [backup-simplify]: Simplify (/ 1 1) into 1 30.224 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.224 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.224 * [taylor]: Taking taylor expansion of 2 in k 30.224 * [backup-simplify]: Simplify 2 into 2 30.224 * [taylor]: Taking taylor expansion of PI in k 30.224 * [backup-simplify]: Simplify PI into PI 30.224 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.225 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.225 * [backup-simplify]: Simplify (- 1) into -1 30.225 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.226 * [backup-simplify]: Simplify (* -1 (log (* 2 PI))) into (* -1 (log (* 2 PI))) 30.228 * [backup-simplify]: Simplify (* 1/2 (* -1 (log (* 2 PI)))) into (* -1/2 (log (* 2 PI))) 30.228 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.229 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 30.230 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 30.230 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.232 * [backup-simplify]: Simplify (- 0) into 0 30.232 * [backup-simplify]: Simplify (+ 0 0) into 0 30.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 30.233 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 30.234 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 30.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.235 * [backup-simplify]: Simplify (- 0) into 0 30.236 * [backup-simplify]: Simplify (+ 0 0) into 0 30.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 30.236 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.236 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 30.237 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 30.238 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 30.238 * [taylor]: Taking taylor expansion of 0 in k 30.238 * [backup-simplify]: Simplify 0 into 0 30.238 * [backup-simplify]: Simplify 0 into 0 30.238 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 30.238 * [backup-simplify]: Simplify 0 into 0 30.239 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.241 * [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 30.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.241 * [backup-simplify]: Simplify (- 0) into 0 30.241 * [backup-simplify]: Simplify (+ 0 0) into 0 30.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 30.243 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 30.245 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.247 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 30.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.248 * [backup-simplify]: Simplify (- 0) into 0 30.248 * [backup-simplify]: Simplify (+ 0 0) into 0 30.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 30.250 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.250 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 30.257 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.259 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 30.259 * [taylor]: Taking taylor expansion of 0 in k 30.259 * [backup-simplify]: Simplify 0 into 0 30.259 * [backup-simplify]: Simplify 0 into 0 30.259 * [backup-simplify]: Simplify 0 into 0 30.261 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 30.261 * [backup-simplify]: Simplify 0 into 0 30.262 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.268 * [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 30.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.269 * [backup-simplify]: Simplify (- 0) into 0 30.269 * [backup-simplify]: Simplify (+ 0 0) into 0 30.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 30.272 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 30.275 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.282 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 30.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.282 * [backup-simplify]: Simplify (- 0) into 0 30.283 * [backup-simplify]: Simplify (+ 0 0) into 0 30.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 30.285 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.286 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 30.287 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.289 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 30.290 * [taylor]: Taking taylor expansion of 0 in k 30.290 * [backup-simplify]: Simplify 0 into 0 30.290 * [backup-simplify]: Simplify 0 into 0 30.291 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) 30.291 * [backup-simplify]: Simplify (* (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2))) into (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) 30.291 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in (n k) around 0 30.291 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in k 30.291 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 30.291 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 30.291 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 30.291 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.291 * [taylor]: Taking taylor expansion of 1/2 in k 30.291 * [backup-simplify]: Simplify 1/2 into 1/2 30.291 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.291 * [taylor]: Taking taylor expansion of k in k 30.291 * [backup-simplify]: Simplify 0 into 0 30.291 * [backup-simplify]: Simplify 1 into 1 30.292 * [backup-simplify]: Simplify (/ 1 1) into 1 30.292 * [taylor]: Taking taylor expansion of 1 in k 30.292 * [backup-simplify]: Simplify 1 into 1 30.292 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 30.292 * [taylor]: Taking taylor expansion of (/ -1 n) in k 30.292 * [taylor]: Taking taylor expansion of -1 in k 30.292 * [backup-simplify]: Simplify -1 into -1 30.292 * [taylor]: Taking taylor expansion of n in k 30.292 * [backup-simplify]: Simplify n into n 30.292 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 30.292 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 30.292 * [backup-simplify]: Simplify (+ 1 0) into 1 30.292 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.292 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 30.293 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 30.293 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 30.293 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 30.293 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 30.293 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.293 * [taylor]: Taking taylor expansion of 1/2 in k 30.293 * [backup-simplify]: Simplify 1/2 into 1/2 30.293 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.293 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.293 * [taylor]: Taking taylor expansion of k in k 30.293 * [backup-simplify]: Simplify 0 into 0 30.293 * [backup-simplify]: Simplify 1 into 1 30.293 * [backup-simplify]: Simplify (/ 1 1) into 1 30.293 * [taylor]: Taking taylor expansion of 1 in k 30.293 * [backup-simplify]: Simplify 1 into 1 30.293 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.293 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.293 * [taylor]: Taking taylor expansion of 2 in k 30.293 * [backup-simplify]: Simplify 2 into 2 30.293 * [taylor]: Taking taylor expansion of PI in k 30.293 * [backup-simplify]: Simplify PI into PI 30.293 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.294 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.294 * [backup-simplify]: Simplify (+ 1 0) into 1 30.295 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.296 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.296 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.296 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in n 30.296 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 30.296 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 30.296 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 30.296 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.296 * [taylor]: Taking taylor expansion of 1/2 in n 30.296 * [backup-simplify]: Simplify 1/2 into 1/2 30.296 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.296 * [taylor]: Taking taylor expansion of k in n 30.296 * [backup-simplify]: Simplify k into k 30.296 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.296 * [taylor]: Taking taylor expansion of 1 in n 30.296 * [backup-simplify]: Simplify 1 into 1 30.296 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 30.296 * [taylor]: Taking taylor expansion of (/ -1 n) in n 30.296 * [taylor]: Taking taylor expansion of -1 in n 30.296 * [backup-simplify]: Simplify -1 into -1 30.297 * [taylor]: Taking taylor expansion of n in n 30.297 * [backup-simplify]: Simplify 0 into 0 30.297 * [backup-simplify]: Simplify 1 into 1 30.297 * [backup-simplify]: Simplify (/ -1 1) into -1 30.297 * [backup-simplify]: Simplify (log -1) into (log -1) 30.297 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.297 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.298 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.298 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 30.298 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 30.298 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in n 30.298 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 30.298 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 30.298 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.298 * [taylor]: Taking taylor expansion of 1/2 in n 30.298 * [backup-simplify]: Simplify 1/2 into 1/2 30.298 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.298 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.298 * [taylor]: Taking taylor expansion of k in n 30.298 * [backup-simplify]: Simplify k into k 30.299 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.299 * [taylor]: Taking taylor expansion of 1 in n 30.299 * [backup-simplify]: Simplify 1 into 1 30.299 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.299 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.299 * [taylor]: Taking taylor expansion of 2 in n 30.299 * [backup-simplify]: Simplify 2 into 2 30.299 * [taylor]: Taking taylor expansion of PI in n 30.299 * [backup-simplify]: Simplify PI into PI 30.299 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.300 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.300 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.300 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.300 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 30.301 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.301 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in n 30.301 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 30.301 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 30.301 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 30.301 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.301 * [taylor]: Taking taylor expansion of 1/2 in n 30.301 * [backup-simplify]: Simplify 1/2 into 1/2 30.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.301 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.301 * [taylor]: Taking taylor expansion of k in n 30.301 * [backup-simplify]: Simplify k into k 30.301 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.301 * [taylor]: Taking taylor expansion of 1 in n 30.301 * [backup-simplify]: Simplify 1 into 1 30.301 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 30.301 * [taylor]: Taking taylor expansion of (/ -1 n) in n 30.301 * [taylor]: Taking taylor expansion of -1 in n 30.301 * [backup-simplify]: Simplify -1 into -1 30.301 * [taylor]: Taking taylor expansion of n in n 30.301 * [backup-simplify]: Simplify 0 into 0 30.301 * [backup-simplify]: Simplify 1 into 1 30.302 * [backup-simplify]: Simplify (/ -1 1) into -1 30.302 * [backup-simplify]: Simplify (log -1) into (log -1) 30.302 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.302 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.302 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.303 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 30.303 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 30.303 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in n 30.303 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 30.303 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 30.303 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.303 * [taylor]: Taking taylor expansion of 1/2 in n 30.303 * [backup-simplify]: Simplify 1/2 into 1/2 30.303 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.303 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.303 * [taylor]: Taking taylor expansion of k in n 30.303 * [backup-simplify]: Simplify k into k 30.303 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.303 * [taylor]: Taking taylor expansion of 1 in n 30.303 * [backup-simplify]: Simplify 1 into 1 30.303 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.303 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.303 * [taylor]: Taking taylor expansion of 2 in n 30.303 * [backup-simplify]: Simplify 2 into 2 30.303 * [taylor]: Taking taylor expansion of PI in n 30.303 * [backup-simplify]: Simplify PI into PI 30.304 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.304 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.304 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.304 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.305 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 30.306 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.307 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 30.307 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) in k 30.307 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in k 30.307 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in k 30.307 * [taylor]: Taking taylor expansion of 1/2 in k 30.307 * [backup-simplify]: Simplify 1/2 into 1/2 30.307 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in k 30.307 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.307 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.307 * [taylor]: Taking taylor expansion of k in k 30.307 * [backup-simplify]: Simplify 0 into 0 30.307 * [backup-simplify]: Simplify 1 into 1 30.307 * [backup-simplify]: Simplify (/ 1 1) into 1 30.307 * [taylor]: Taking taylor expansion of 1 in k 30.307 * [backup-simplify]: Simplify 1 into 1 30.307 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.307 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.307 * [taylor]: Taking taylor expansion of 2 in k 30.307 * [backup-simplify]: Simplify 2 into 2 30.307 * [taylor]: Taking taylor expansion of PI in k 30.307 * [backup-simplify]: Simplify PI into PI 30.308 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.308 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.308 * [backup-simplify]: Simplify (+ 1 0) into 1 30.309 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 30.310 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.311 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.311 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 30.311 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 30.311 * [taylor]: Taking taylor expansion of 1/2 in k 30.311 * [backup-simplify]: Simplify 1/2 into 1/2 30.311 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 30.311 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.311 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.311 * [taylor]: Taking taylor expansion of k in k 30.311 * [backup-simplify]: Simplify 0 into 0 30.311 * [backup-simplify]: Simplify 1 into 1 30.311 * [backup-simplify]: Simplify (/ 1 1) into 1 30.311 * [taylor]: Taking taylor expansion of 1 in k 30.311 * [backup-simplify]: Simplify 1 into 1 30.311 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 30.312 * [taylor]: Taking taylor expansion of (log -1) in k 30.312 * [taylor]: Taking taylor expansion of -1 in k 30.312 * [backup-simplify]: Simplify -1 into -1 30.312 * [backup-simplify]: Simplify (log -1) into (log -1) 30.312 * [taylor]: Taking taylor expansion of (log n) in k 30.312 * [taylor]: Taking taylor expansion of n in k 30.312 * [backup-simplify]: Simplify n into n 30.312 * [backup-simplify]: Simplify (log n) into (log n) 30.312 * [backup-simplify]: Simplify (+ 1 0) into 1 30.312 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.312 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 30.313 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 30.313 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 30.313 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 30.315 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 30.316 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 30.316 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.317 * [backup-simplify]: Simplify (+ 0 0) into 0 30.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 30.318 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log (* 2 PI)))) into 0 30.320 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 30.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.323 * [backup-simplify]: Simplify (+ 0 0) into 0 30.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 30.324 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.325 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 30.326 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.328 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 30.328 * [taylor]: Taking taylor expansion of 0 in k 30.328 * [backup-simplify]: Simplify 0 into 0 30.328 * [backup-simplify]: Simplify 0 into 0 30.329 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into 0 30.330 * [backup-simplify]: Simplify 0 into 0 30.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.334 * [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 30.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.335 * [backup-simplify]: Simplify (+ 0 0) into 0 30.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 30.337 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 30.339 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.343 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 30.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.344 * [backup-simplify]: Simplify (+ 0 0) into 0 30.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 30.346 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.347 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 30.349 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.351 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 30.351 * [taylor]: Taking taylor expansion of 0 in k 30.351 * [backup-simplify]: Simplify 0 into 0 30.351 * [backup-simplify]: Simplify 0 into 0 30.351 * [backup-simplify]: Simplify 0 into 0 30.353 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 30.354 * [backup-simplify]: Simplify 0 into 0 30.355 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.361 * [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 30.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.362 * [backup-simplify]: Simplify (+ 0 0) into 0 30.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 30.365 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 30.368 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.375 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 30.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.375 * [backup-simplify]: Simplify (+ 0 0) into 0 30.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 30.378 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.379 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 30.381 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.383 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))))) into 0 30.383 * [taylor]: Taking taylor expansion of 0 in k 30.383 * [backup-simplify]: Simplify 0 into 0 30.383 * [backup-simplify]: Simplify 0 into 0 30.386 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))) into (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) 30.386 * * * * [progress]: [ 4 / 4 ] generating series at (2) 30.386 * [backup-simplify]: Simplify (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) 30.387 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in (n k) around 0 30.387 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in k 30.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.387 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.387 * [taylor]: Taking taylor expansion of k in k 30.387 * [backup-simplify]: Simplify 0 into 0 30.387 * [backup-simplify]: Simplify 1 into 1 30.387 * [backup-simplify]: Simplify (/ 1 1) into 1 30.392 * [backup-simplify]: Simplify (sqrt 0) into 0 30.394 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.394 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in k 30.394 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 30.394 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 30.394 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 30.394 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.395 * [taylor]: Taking taylor expansion of 1/2 in k 30.395 * [backup-simplify]: Simplify 1/2 into 1/2 30.395 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.395 * [taylor]: Taking taylor expansion of 1 in k 30.395 * [backup-simplify]: Simplify 1 into 1 30.395 * [taylor]: Taking taylor expansion of k in k 30.395 * [backup-simplify]: Simplify 0 into 0 30.395 * [backup-simplify]: Simplify 1 into 1 30.395 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.395 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.395 * [taylor]: Taking taylor expansion of 2 in k 30.395 * [backup-simplify]: Simplify 2 into 2 30.395 * [taylor]: Taking taylor expansion of PI in k 30.395 * [backup-simplify]: Simplify PI into PI 30.395 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.396 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.397 * [backup-simplify]: Simplify (- 0) into 0 30.397 * [backup-simplify]: Simplify (+ 1 0) into 1 30.398 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.400 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.402 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 30.402 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 30.402 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 30.402 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 30.402 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.402 * [taylor]: Taking taylor expansion of 1/2 in k 30.402 * [backup-simplify]: Simplify 1/2 into 1/2 30.402 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.402 * [taylor]: Taking taylor expansion of 1 in k 30.402 * [backup-simplify]: Simplify 1 into 1 30.402 * [taylor]: Taking taylor expansion of k in k 30.402 * [backup-simplify]: Simplify 0 into 0 30.403 * [backup-simplify]: Simplify 1 into 1 30.403 * [taylor]: Taking taylor expansion of (log n) in k 30.403 * [taylor]: Taking taylor expansion of n in k 30.403 * [backup-simplify]: Simplify n into n 30.403 * [backup-simplify]: Simplify (log n) into (log n) 30.403 * [backup-simplify]: Simplify (- 0) into 0 30.403 * [backup-simplify]: Simplify (+ 1 0) into 1 30.404 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.404 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 30.404 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 30.404 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 30.404 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.404 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.404 * [taylor]: Taking taylor expansion of k in n 30.404 * [backup-simplify]: Simplify k into k 30.404 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.404 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.405 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 30.405 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in n 30.405 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in n 30.405 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in n 30.405 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.405 * [taylor]: Taking taylor expansion of 1/2 in n 30.405 * [backup-simplify]: Simplify 1/2 into 1/2 30.405 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.405 * [taylor]: Taking taylor expansion of 1 in n 30.405 * [backup-simplify]: Simplify 1 into 1 30.405 * [taylor]: Taking taylor expansion of k in n 30.405 * [backup-simplify]: Simplify k into k 30.405 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.405 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.405 * [taylor]: Taking taylor expansion of 2 in n 30.405 * [backup-simplify]: Simplify 2 into 2 30.405 * [taylor]: Taking taylor expansion of PI in n 30.405 * [backup-simplify]: Simplify PI into PI 30.406 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.406 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.407 * [backup-simplify]: Simplify (- k) into (- k) 30.407 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.407 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.408 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI)))) 30.409 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 30.409 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 30.409 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 30.409 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 30.409 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.409 * [taylor]: Taking taylor expansion of 1/2 in n 30.409 * [backup-simplify]: Simplify 1/2 into 1/2 30.409 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.409 * [taylor]: Taking taylor expansion of 1 in n 30.409 * [backup-simplify]: Simplify 1 into 1 30.409 * [taylor]: Taking taylor expansion of k in n 30.409 * [backup-simplify]: Simplify k into k 30.409 * [taylor]: Taking taylor expansion of (log n) in n 30.409 * [taylor]: Taking taylor expansion of n in n 30.409 * [backup-simplify]: Simplify 0 into 0 30.409 * [backup-simplify]: Simplify 1 into 1 30.410 * [backup-simplify]: Simplify (log 1) into 0 30.410 * [backup-simplify]: Simplify (- k) into (- k) 30.410 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.410 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.410 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.410 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 30.410 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 30.410 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 30.411 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.411 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.411 * [taylor]: Taking taylor expansion of k in n 30.411 * [backup-simplify]: Simplify k into k 30.411 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.411 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.411 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 30.411 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in n 30.411 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in n 30.411 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in n 30.411 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.411 * [taylor]: Taking taylor expansion of 1/2 in n 30.411 * [backup-simplify]: Simplify 1/2 into 1/2 30.411 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.411 * [taylor]: Taking taylor expansion of 1 in n 30.411 * [backup-simplify]: Simplify 1 into 1 30.411 * [taylor]: Taking taylor expansion of k in n 30.411 * [backup-simplify]: Simplify k into k 30.411 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.411 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.411 * [taylor]: Taking taylor expansion of 2 in n 30.411 * [backup-simplify]: Simplify 2 into 2 30.411 * [taylor]: Taking taylor expansion of PI in n 30.412 * [backup-simplify]: Simplify PI into PI 30.412 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.413 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.413 * [backup-simplify]: Simplify (- k) into (- k) 30.413 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.413 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.414 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI)))) 30.415 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 30.415 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 30.416 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 30.416 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 30.416 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.416 * [taylor]: Taking taylor expansion of 1/2 in n 30.416 * [backup-simplify]: Simplify 1/2 into 1/2 30.416 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.416 * [taylor]: Taking taylor expansion of 1 in n 30.416 * [backup-simplify]: Simplify 1 into 1 30.416 * [taylor]: Taking taylor expansion of k in n 30.416 * [backup-simplify]: Simplify k into k 30.416 * [taylor]: Taking taylor expansion of (log n) in n 30.416 * [taylor]: Taking taylor expansion of n in n 30.416 * [backup-simplify]: Simplify 0 into 0 30.416 * [backup-simplify]: Simplify 1 into 1 30.416 * [backup-simplify]: Simplify (log 1) into 0 30.416 * [backup-simplify]: Simplify (- k) into (- k) 30.416 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.417 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.417 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.417 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 30.417 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 30.419 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (log n))))) into (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) 30.420 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) into (* (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt (/ 1 k))) 30.420 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 30.420 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) in k 30.420 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 30.420 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 30.420 * [taylor]: Taking taylor expansion of 1/2 in k 30.420 * [backup-simplify]: Simplify 1/2 into 1/2 30.420 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 30.420 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.420 * [taylor]: Taking taylor expansion of 1 in k 30.420 * [backup-simplify]: Simplify 1 into 1 30.420 * [taylor]: Taking taylor expansion of k in k 30.420 * [backup-simplify]: Simplify 0 into 0 30.420 * [backup-simplify]: Simplify 1 into 1 30.420 * [taylor]: Taking taylor expansion of (log n) in k 30.420 * [taylor]: Taking taylor expansion of n in k 30.420 * [backup-simplify]: Simplify n into n 30.420 * [backup-simplify]: Simplify (log n) into (log n) 30.421 * [backup-simplify]: Simplify (- 0) into 0 30.421 * [backup-simplify]: Simplify (+ 1 0) into 1 30.421 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 30.421 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 30.422 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 30.422 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) in k 30.422 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log (* 2 PI)))) in k 30.422 * [taylor]: Taking taylor expansion of 1/2 in k 30.422 * [backup-simplify]: Simplify 1/2 into 1/2 30.422 * [taylor]: Taking taylor expansion of (* (- 1 k) (log (* 2 PI))) in k 30.422 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.422 * [taylor]: Taking taylor expansion of 1 in k 30.422 * [backup-simplify]: Simplify 1 into 1 30.422 * [taylor]: Taking taylor expansion of k in k 30.422 * [backup-simplify]: Simplify 0 into 0 30.422 * [backup-simplify]: Simplify 1 into 1 30.422 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.422 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.422 * [taylor]: Taking taylor expansion of 2 in k 30.422 * [backup-simplify]: Simplify 2 into 2 30.422 * [taylor]: Taking taylor expansion of PI in k 30.422 * [backup-simplify]: Simplify PI into PI 30.423 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.424 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.424 * [backup-simplify]: Simplify (- 0) into 0 30.424 * [backup-simplify]: Simplify (+ 1 0) into 1 30.426 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 30.428 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.431 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 30.431 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.431 * [taylor]: Taking taylor expansion of k in k 30.431 * [backup-simplify]: Simplify 0 into 0 30.431 * [backup-simplify]: Simplify 1 into 1 30.431 * [backup-simplify]: Simplify (/ 1 1) into 1 30.432 * [backup-simplify]: Simplify (sqrt 0) into 0 30.433 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.434 * [backup-simplify]: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 30.434 * [backup-simplify]: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 30.434 * [backup-simplify]: Simplify 0 into 0 30.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 30.437 * [backup-simplify]: Simplify (- 0) into 0 30.437 * [backup-simplify]: Simplify (+ 0 0) into 0 30.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 30.438 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.438 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 30.439 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 30.440 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.442 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.443 * [backup-simplify]: Simplify (- 0) into 0 30.443 * [backup-simplify]: Simplify (+ 0 0) into 0 30.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 30.445 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log (* 2 PI)))) into 0 30.446 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.448 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))) into 0 30.449 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))) into 0 30.449 * [taylor]: Taking taylor expansion of 0 in k 30.449 * [backup-simplify]: Simplify 0 into 0 30.450 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.452 * [backup-simplify]: Simplify (- 1) into -1 30.452 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.456 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log (* 2 PI)))) into (- (log (* 2 PI))) 30.460 * [backup-simplify]: Simplify (+ (* 1/2 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 30.473 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 30.474 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.474 * [backup-simplify]: Simplify (- 1) into -1 30.475 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.475 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 30.476 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 30.476 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 30.482 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 30.485 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 30.486 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 30.488 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 30.488 * [backup-simplify]: Simplify (- 0) into 0 30.488 * [backup-simplify]: Simplify (+ 0 0) into 0 30.489 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 30.489 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.489 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 30.490 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.491 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.492 * [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 30.493 * [backup-simplify]: Simplify (- 0) into 0 30.493 * [backup-simplify]: Simplify (+ 0 0) into 0 30.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 30.494 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 30.496 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.497 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 30.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.497 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 30.498 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))) into 0 30.498 * [taylor]: Taking taylor expansion of 0 in k 30.498 * [backup-simplify]: Simplify 0 into 0 30.498 * [backup-simplify]: Simplify 0 into 0 30.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.500 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.501 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.503 * [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 30.503 * [backup-simplify]: Simplify (- 0) into 0 30.503 * [backup-simplify]: Simplify (+ 0 0) into 0 30.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log (* 2 PI))))) into 0 30.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI))))) into 0 30.512 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 30.513 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.514 * [backup-simplify]: Simplify (- 0) into 0 30.514 * [backup-simplify]: Simplify (+ 0 0) into 0 30.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 30.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 30.515 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 30.525 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 30.530 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) 30.532 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) 30.536 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 30.537 * [backup-simplify]: Simplify (- 0) into 0 30.537 * [backup-simplify]: Simplify (+ 0 0) into 0 30.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 30.539 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.539 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 30.541 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.542 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.549 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 30.550 * [backup-simplify]: Simplify (- 0) into 0 30.550 * [backup-simplify]: Simplify (+ 0 0) into 0 30.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 30.553 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 30.555 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.557 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))))) into 0 30.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 30.560 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))))) into 0 30.560 * [taylor]: Taking taylor expansion of 0 in k 30.560 * [backup-simplify]: Simplify 0 into 0 30.560 * [backup-simplify]: Simplify 0 into 0 30.561 * [backup-simplify]: Simplify 0 into 0 30.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.567 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.573 * [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 30.573 * [backup-simplify]: Simplify (- 0) into 0 30.574 * [backup-simplify]: Simplify (+ 0 0) into 0 30.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 30.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))))) into 0 30.596 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 30.597 * [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 30.598 * [backup-simplify]: Simplify (- 0) into 0 30.598 * [backup-simplify]: Simplify (+ 0 0) into 0 30.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log n))))) into 0 30.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log n))) (* 0 (log n))))) into 0 30.600 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 30.609 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 30.620 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) 30.635 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) 30.647 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) (* k 1)) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))) 30.647 * [backup-simplify]: Simplify (/ (* (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2))) (sqrt (/ 1 k))) into (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) 30.647 * [approximate]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in (n k) around 0 30.647 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in k 30.647 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in k 30.647 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 30.647 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 30.647 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 30.648 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.648 * [taylor]: Taking taylor expansion of 1/2 in k 30.648 * [backup-simplify]: Simplify 1/2 into 1/2 30.648 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.648 * [taylor]: Taking taylor expansion of 1 in k 30.648 * [backup-simplify]: Simplify 1 into 1 30.648 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.648 * [taylor]: Taking taylor expansion of k in k 30.648 * [backup-simplify]: Simplify 0 into 0 30.648 * [backup-simplify]: Simplify 1 into 1 30.648 * [backup-simplify]: Simplify (/ 1 1) into 1 30.648 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 30.648 * [taylor]: Taking taylor expansion of (/ 1 n) in k 30.648 * [taylor]: Taking taylor expansion of n in k 30.648 * [backup-simplify]: Simplify n into n 30.648 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 30.648 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 30.648 * [backup-simplify]: Simplify (- 1) into -1 30.649 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.649 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.649 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 30.649 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 30.649 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 30.649 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 30.649 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 30.649 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.649 * [taylor]: Taking taylor expansion of 1/2 in k 30.649 * [backup-simplify]: Simplify 1/2 into 1/2 30.649 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.649 * [taylor]: Taking taylor expansion of 1 in k 30.649 * [backup-simplify]: Simplify 1 into 1 30.649 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.649 * [taylor]: Taking taylor expansion of k in k 30.649 * [backup-simplify]: Simplify 0 into 0 30.649 * [backup-simplify]: Simplify 1 into 1 30.649 * [backup-simplify]: Simplify (/ 1 1) into 1 30.650 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.650 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.650 * [taylor]: Taking taylor expansion of 2 in k 30.650 * [backup-simplify]: Simplify 2 into 2 30.650 * [taylor]: Taking taylor expansion of PI in k 30.650 * [backup-simplify]: Simplify PI into PI 30.650 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.651 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.651 * [backup-simplify]: Simplify (- 1) into -1 30.651 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.651 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.652 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 30.653 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.653 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.653 * [taylor]: Taking taylor expansion of k in k 30.653 * [backup-simplify]: Simplify 0 into 0 30.653 * [backup-simplify]: Simplify 1 into 1 30.653 * [backup-simplify]: Simplify (sqrt 0) into 0 30.655 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.655 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in n 30.655 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in n 30.655 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 30.655 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 30.655 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 30.655 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.655 * [taylor]: Taking taylor expansion of 1/2 in n 30.655 * [backup-simplify]: Simplify 1/2 into 1/2 30.655 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.655 * [taylor]: Taking taylor expansion of 1 in n 30.655 * [backup-simplify]: Simplify 1 into 1 30.655 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.655 * [taylor]: Taking taylor expansion of k in n 30.655 * [backup-simplify]: Simplify k into k 30.655 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.655 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 30.655 * [taylor]: Taking taylor expansion of (/ 1 n) in n 30.655 * [taylor]: Taking taylor expansion of n in n 30.655 * [backup-simplify]: Simplify 0 into 0 30.655 * [backup-simplify]: Simplify 1 into 1 30.655 * [backup-simplify]: Simplify (/ 1 1) into 1 30.656 * [backup-simplify]: Simplify (log 1) into 0 30.656 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.656 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.656 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.656 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.656 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 30.657 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 30.657 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in n 30.657 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 30.657 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in n 30.657 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.657 * [taylor]: Taking taylor expansion of 1/2 in n 30.657 * [backup-simplify]: Simplify 1/2 into 1/2 30.657 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.657 * [taylor]: Taking taylor expansion of 1 in n 30.657 * [backup-simplify]: Simplify 1 into 1 30.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.657 * [taylor]: Taking taylor expansion of k in n 30.657 * [backup-simplify]: Simplify k into k 30.657 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.657 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.657 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.657 * [taylor]: Taking taylor expansion of 2 in n 30.657 * [backup-simplify]: Simplify 2 into 2 30.657 * [taylor]: Taking taylor expansion of PI in n 30.657 * [backup-simplify]: Simplify PI into PI 30.657 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.658 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.658 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.658 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.658 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.659 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 30.659 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.659 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.659 * [taylor]: Taking taylor expansion of k in n 30.659 * [backup-simplify]: Simplify k into k 30.659 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.659 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in n 30.660 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in n 30.660 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 30.660 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 30.660 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 30.660 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.660 * [taylor]: Taking taylor expansion of 1/2 in n 30.660 * [backup-simplify]: Simplify 1/2 into 1/2 30.660 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.660 * [taylor]: Taking taylor expansion of 1 in n 30.660 * [backup-simplify]: Simplify 1 into 1 30.660 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.660 * [taylor]: Taking taylor expansion of k in n 30.660 * [backup-simplify]: Simplify k into k 30.660 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.660 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 30.660 * [taylor]: Taking taylor expansion of (/ 1 n) in n 30.660 * [taylor]: Taking taylor expansion of n in n 30.660 * [backup-simplify]: Simplify 0 into 0 30.660 * [backup-simplify]: Simplify 1 into 1 30.660 * [backup-simplify]: Simplify (/ 1 1) into 1 30.660 * [backup-simplify]: Simplify (log 1) into 0 30.660 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.660 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.661 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.661 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.661 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 30.661 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 30.661 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in n 30.661 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 30.661 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in n 30.661 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.661 * [taylor]: Taking taylor expansion of 1/2 in n 30.661 * [backup-simplify]: Simplify 1/2 into 1/2 30.661 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.661 * [taylor]: Taking taylor expansion of 1 in n 30.661 * [backup-simplify]: Simplify 1 into 1 30.661 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.661 * [taylor]: Taking taylor expansion of k in n 30.661 * [backup-simplify]: Simplify k into k 30.661 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.661 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.661 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.661 * [taylor]: Taking taylor expansion of 2 in n 30.661 * [backup-simplify]: Simplify 2 into 2 30.661 * [taylor]: Taking taylor expansion of PI in n 30.661 * [backup-simplify]: Simplify PI into PI 30.662 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.662 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.662 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.662 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.662 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.663 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 30.664 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.664 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.664 * [taylor]: Taking taylor expansion of k in n 30.664 * [backup-simplify]: Simplify k into k 30.664 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.665 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 30.666 * [backup-simplify]: Simplify (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt k)) into (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt k)) 30.666 * [taylor]: Taking taylor expansion of (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt k)) in k 30.666 * [taylor]: Taking taylor expansion of (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) in k 30.666 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 30.666 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 30.666 * [taylor]: Taking taylor expansion of -1/2 in k 30.666 * [backup-simplify]: Simplify -1/2 into -1/2 30.666 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 30.666 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.666 * [taylor]: Taking taylor expansion of 1 in k 30.666 * [backup-simplify]: Simplify 1 into 1 30.666 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.666 * [taylor]: Taking taylor expansion of k in k 30.666 * [backup-simplify]: Simplify 0 into 0 30.666 * [backup-simplify]: Simplify 1 into 1 30.667 * [backup-simplify]: Simplify (/ 1 1) into 1 30.667 * [taylor]: Taking taylor expansion of (log n) in k 30.667 * [taylor]: Taking taylor expansion of n in k 30.667 * [backup-simplify]: Simplify n into n 30.667 * [backup-simplify]: Simplify (log n) into (log n) 30.667 * [backup-simplify]: Simplify (- 1) into -1 30.667 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.667 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 30.667 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 30.667 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 30.667 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in k 30.667 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in k 30.667 * [taylor]: Taking taylor expansion of 1/2 in k 30.667 * [backup-simplify]: Simplify 1/2 into 1/2 30.667 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in k 30.667 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.667 * [taylor]: Taking taylor expansion of 1 in k 30.668 * [backup-simplify]: Simplify 1 into 1 30.668 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.668 * [taylor]: Taking taylor expansion of k in k 30.668 * [backup-simplify]: Simplify 0 into 0 30.668 * [backup-simplify]: Simplify 1 into 1 30.668 * [backup-simplify]: Simplify (/ 1 1) into 1 30.668 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.668 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.668 * [taylor]: Taking taylor expansion of 2 in k 30.668 * [backup-simplify]: Simplify 2 into 2 30.668 * [taylor]: Taking taylor expansion of PI in k 30.668 * [backup-simplify]: Simplify PI into PI 30.668 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.669 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.670 * [backup-simplify]: Simplify (- 1) into -1 30.670 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.671 * [backup-simplify]: Simplify (* -1 (log (* 2 PI))) into (* -1 (log (* 2 PI))) 30.673 * [backup-simplify]: Simplify (* 1/2 (* -1 (log (* 2 PI)))) into (* -1/2 (log (* 2 PI))) 30.674 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.674 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.674 * [taylor]: Taking taylor expansion of k in k 30.674 * [backup-simplify]: Simplify 0 into 0 30.674 * [backup-simplify]: Simplify 1 into 1 30.674 * [backup-simplify]: Simplify (sqrt 0) into 0 30.676 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.677 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 30.678 * [backup-simplify]: Simplify (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) into 0 30.678 * [backup-simplify]: Simplify 0 into 0 30.679 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.682 * [backup-simplify]: Simplify (- 0) into 0 30.682 * [backup-simplify]: Simplify (+ 0 0) into 0 30.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 30.683 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 30.685 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 30.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.688 * [backup-simplify]: Simplify (- 0) into 0 30.689 * [backup-simplify]: Simplify (+ 0 0) into 0 30.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 30.690 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.690 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 30.691 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 30.692 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 30.693 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) (* 0 (sqrt k))) into 0 30.693 * [taylor]: Taking taylor expansion of 0 in k 30.693 * [backup-simplify]: Simplify 0 into 0 30.693 * [backup-simplify]: Simplify 0 into 0 30.695 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 30.696 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 30.697 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 30.698 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 30.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.702 * [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 30.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.703 * [backup-simplify]: Simplify (- 0) into 0 30.703 * [backup-simplify]: Simplify (+ 0 0) into 0 30.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 30.705 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 30.708 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.711 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 30.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.712 * [backup-simplify]: Simplify (- 0) into 0 30.712 * [backup-simplify]: Simplify (+ 0 0) into 0 30.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 30.714 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.714 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 30.715 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.717 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 30.720 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 30.720 * [taylor]: Taking taylor expansion of 0 in k 30.720 * [backup-simplify]: Simplify 0 into 0 30.720 * [backup-simplify]: Simplify 0 into 0 30.720 * [backup-simplify]: Simplify 0 into 0 30.723 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.725 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 30.727 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 30.728 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 30.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 30.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.736 * [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 30.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.737 * [backup-simplify]: Simplify (- 0) into 0 30.737 * [backup-simplify]: Simplify (+ 0 0) into 0 30.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 30.740 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 30.743 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.750 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 30.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.751 * [backup-simplify]: Simplify (- 0) into 0 30.756 * [backup-simplify]: Simplify (+ 0 0) into 0 30.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 30.758 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.759 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 30.761 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.763 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 30.765 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 30.765 * [taylor]: Taking taylor expansion of 0 in k 30.765 * [backup-simplify]: Simplify 0 into 0 30.765 * [backup-simplify]: Simplify 0 into 0 30.765 * [backup-simplify]: Simplify 0 into 0 30.765 * [backup-simplify]: Simplify 0 into 0 30.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.772 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 30.774 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 30.776 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 30.781 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 3)))))))) 30.781 * [backup-simplify]: Simplify (/ (* (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) 30.782 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in (n k) around 0 30.782 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in k 30.782 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in k 30.782 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 30.782 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 30.782 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 30.782 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.782 * [taylor]: Taking taylor expansion of 1/2 in k 30.782 * [backup-simplify]: Simplify 1/2 into 1/2 30.782 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.782 * [taylor]: Taking taylor expansion of k in k 30.782 * [backup-simplify]: Simplify 0 into 0 30.782 * [backup-simplify]: Simplify 1 into 1 30.782 * [backup-simplify]: Simplify (/ 1 1) into 1 30.782 * [taylor]: Taking taylor expansion of 1 in k 30.782 * [backup-simplify]: Simplify 1 into 1 30.783 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 30.783 * [taylor]: Taking taylor expansion of (/ -1 n) in k 30.783 * [taylor]: Taking taylor expansion of -1 in k 30.783 * [backup-simplify]: Simplify -1 into -1 30.783 * [taylor]: Taking taylor expansion of n in k 30.783 * [backup-simplify]: Simplify n into n 30.783 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 30.783 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 30.783 * [backup-simplify]: Simplify (+ 1 0) into 1 30.784 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.784 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 30.784 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 30.784 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 30.784 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 30.784 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 30.784 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.784 * [taylor]: Taking taylor expansion of 1/2 in k 30.784 * [backup-simplify]: Simplify 1/2 into 1/2 30.784 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.784 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.784 * [taylor]: Taking taylor expansion of k in k 30.784 * [backup-simplify]: Simplify 0 into 0 30.784 * [backup-simplify]: Simplify 1 into 1 30.785 * [backup-simplify]: Simplify (/ 1 1) into 1 30.785 * [taylor]: Taking taylor expansion of 1 in k 30.785 * [backup-simplify]: Simplify 1 into 1 30.785 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.785 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.785 * [taylor]: Taking taylor expansion of 2 in k 30.785 * [backup-simplify]: Simplify 2 into 2 30.785 * [taylor]: Taking taylor expansion of PI in k 30.785 * [backup-simplify]: Simplify PI into PI 30.785 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.786 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.787 * [backup-simplify]: Simplify (+ 1 0) into 1 30.787 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.788 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.789 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.789 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.789 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.789 * [taylor]: Taking taylor expansion of -1 in k 30.789 * [backup-simplify]: Simplify -1 into -1 30.789 * [taylor]: Taking taylor expansion of k in k 30.789 * [backup-simplify]: Simplify 0 into 0 30.789 * [backup-simplify]: Simplify 1 into 1 30.789 * [backup-simplify]: Simplify (/ -1 1) into -1 30.789 * [backup-simplify]: Simplify (sqrt 0) into 0 30.790 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.791 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 30.791 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 30.792 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in n 30.792 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in n 30.792 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 30.792 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 30.792 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 30.792 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.792 * [taylor]: Taking taylor expansion of 1/2 in n 30.792 * [backup-simplify]: Simplify 1/2 into 1/2 30.792 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.792 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.792 * [taylor]: Taking taylor expansion of k in n 30.792 * [backup-simplify]: Simplify k into k 30.792 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.792 * [taylor]: Taking taylor expansion of 1 in n 30.792 * [backup-simplify]: Simplify 1 into 1 30.792 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 30.792 * [taylor]: Taking taylor expansion of (/ -1 n) in n 30.792 * [taylor]: Taking taylor expansion of -1 in n 30.792 * [backup-simplify]: Simplify -1 into -1 30.792 * [taylor]: Taking taylor expansion of n in n 30.792 * [backup-simplify]: Simplify 0 into 0 30.792 * [backup-simplify]: Simplify 1 into 1 30.792 * [backup-simplify]: Simplify (/ -1 1) into -1 30.792 * [backup-simplify]: Simplify (log -1) into (log -1) 30.792 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.793 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.793 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.793 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 30.794 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 30.794 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in n 30.794 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 30.794 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 30.794 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.794 * [taylor]: Taking taylor expansion of 1/2 in n 30.794 * [backup-simplify]: Simplify 1/2 into 1/2 30.794 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.794 * [taylor]: Taking taylor expansion of k in n 30.794 * [backup-simplify]: Simplify k into k 30.794 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.794 * [taylor]: Taking taylor expansion of 1 in n 30.794 * [backup-simplify]: Simplify 1 into 1 30.794 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.794 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.794 * [taylor]: Taking taylor expansion of 2 in n 30.794 * [backup-simplify]: Simplify 2 into 2 30.794 * [taylor]: Taking taylor expansion of PI in n 30.794 * [backup-simplify]: Simplify PI into PI 30.794 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.795 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.795 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.795 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.796 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 30.796 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.796 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.796 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.796 * [taylor]: Taking taylor expansion of -1 in n 30.796 * [backup-simplify]: Simplify -1 into -1 30.796 * [taylor]: Taking taylor expansion of k in n 30.796 * [backup-simplify]: Simplify k into k 30.796 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.796 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.797 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.798 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 30.799 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 30.799 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in n 30.799 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in n 30.799 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 30.799 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 30.799 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 30.799 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.799 * [taylor]: Taking taylor expansion of 1/2 in n 30.799 * [backup-simplify]: Simplify 1/2 into 1/2 30.799 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.799 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.799 * [taylor]: Taking taylor expansion of k in n 30.799 * [backup-simplify]: Simplify k into k 30.799 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.799 * [taylor]: Taking taylor expansion of 1 in n 30.799 * [backup-simplify]: Simplify 1 into 1 30.799 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 30.799 * [taylor]: Taking taylor expansion of (/ -1 n) in n 30.799 * [taylor]: Taking taylor expansion of -1 in n 30.799 * [backup-simplify]: Simplify -1 into -1 30.799 * [taylor]: Taking taylor expansion of n in n 30.799 * [backup-simplify]: Simplify 0 into 0 30.799 * [backup-simplify]: Simplify 1 into 1 30.799 * [backup-simplify]: Simplify (/ -1 1) into -1 30.800 * [backup-simplify]: Simplify (log -1) into (log -1) 30.800 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.800 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.800 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.800 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 30.801 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 30.801 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in n 30.801 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 30.801 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 30.801 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.801 * [taylor]: Taking taylor expansion of 1/2 in n 30.801 * [backup-simplify]: Simplify 1/2 into 1/2 30.801 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.801 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.801 * [taylor]: Taking taylor expansion of k in n 30.801 * [backup-simplify]: Simplify k into k 30.801 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.801 * [taylor]: Taking taylor expansion of 1 in n 30.801 * [backup-simplify]: Simplify 1 into 1 30.801 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.801 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.801 * [taylor]: Taking taylor expansion of 2 in n 30.801 * [backup-simplify]: Simplify 2 into 2 30.801 * [taylor]: Taking taylor expansion of PI in n 30.801 * [backup-simplify]: Simplify PI into PI 30.801 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.802 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.802 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.802 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.803 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 30.803 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.803 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.803 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.803 * [taylor]: Taking taylor expansion of -1 in n 30.803 * [backup-simplify]: Simplify -1 into -1 30.803 * [taylor]: Taking taylor expansion of k in n 30.803 * [backup-simplify]: Simplify k into k 30.804 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.804 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.804 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.805 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 30.806 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 30.806 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) in k 30.806 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) in k 30.806 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in k 30.806 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in k 30.806 * [taylor]: Taking taylor expansion of 1/2 in k 30.806 * [backup-simplify]: Simplify 1/2 into 1/2 30.806 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in k 30.806 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.806 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.806 * [taylor]: Taking taylor expansion of k in k 30.806 * [backup-simplify]: Simplify 0 into 0 30.806 * [backup-simplify]: Simplify 1 into 1 30.806 * [backup-simplify]: Simplify (/ 1 1) into 1 30.806 * [taylor]: Taking taylor expansion of 1 in k 30.806 * [backup-simplify]: Simplify 1 into 1 30.806 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.806 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.806 * [taylor]: Taking taylor expansion of 2 in k 30.806 * [backup-simplify]: Simplify 2 into 2 30.806 * [taylor]: Taking taylor expansion of PI in k 30.806 * [backup-simplify]: Simplify PI into PI 30.807 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.807 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.807 * [backup-simplify]: Simplify (+ 1 0) into 1 30.808 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 30.809 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.810 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.810 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 30.810 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 30.810 * [taylor]: Taking taylor expansion of 1/2 in k 30.810 * [backup-simplify]: Simplify 1/2 into 1/2 30.810 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 30.810 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.810 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.810 * [taylor]: Taking taylor expansion of k in k 30.810 * [backup-simplify]: Simplify 0 into 0 30.810 * [backup-simplify]: Simplify 1 into 1 30.810 * [backup-simplify]: Simplify (/ 1 1) into 1 30.810 * [taylor]: Taking taylor expansion of 1 in k 30.810 * [backup-simplify]: Simplify 1 into 1 30.810 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 30.810 * [taylor]: Taking taylor expansion of (log -1) in k 30.810 * [taylor]: Taking taylor expansion of -1 in k 30.810 * [backup-simplify]: Simplify -1 into -1 30.811 * [backup-simplify]: Simplify (log -1) into (log -1) 30.811 * [taylor]: Taking taylor expansion of (log n) in k 30.811 * [taylor]: Taking taylor expansion of n in k 30.811 * [backup-simplify]: Simplify n into n 30.811 * [backup-simplify]: Simplify (log n) into (log n) 30.811 * [backup-simplify]: Simplify (+ 1 0) into 1 30.811 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.811 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 30.812 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 30.812 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 30.812 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 30.812 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.812 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.812 * [taylor]: Taking taylor expansion of -1 in k 30.812 * [backup-simplify]: Simplify -1 into -1 30.812 * [taylor]: Taking taylor expansion of k in k 30.812 * [backup-simplify]: Simplify 0 into 0 30.812 * [backup-simplify]: Simplify 1 into 1 30.813 * [backup-simplify]: Simplify (/ -1 1) into -1 30.813 * [backup-simplify]: Simplify (sqrt 0) into 0 30.814 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.815 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 30.816 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 30.817 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 30.817 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.818 * [backup-simplify]: Simplify (+ 0 0) into 0 30.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 30.819 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log (* 2 PI)))) into 0 30.820 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 30.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.822 * [backup-simplify]: Simplify (+ 0 0) into 0 30.822 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 30.823 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.823 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 30.824 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.825 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 30.826 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 30.826 * [taylor]: Taking taylor expansion of 0 in k 30.826 * [backup-simplify]: Simplify 0 into 0 30.826 * [backup-simplify]: Simplify 0 into 0 30.827 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into 0 30.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.830 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.831 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 30.832 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 30.833 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.835 * [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 30.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.835 * [backup-simplify]: Simplify (+ 0 0) into 0 30.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 30.836 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 30.838 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.840 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 30.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.841 * [backup-simplify]: Simplify (+ 0 0) into 0 30.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 30.842 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.842 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 30.843 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.845 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 30.845 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.845 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 30.846 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 30.846 * [taylor]: Taking taylor expansion of 0 in k 30.846 * [backup-simplify]: Simplify 0 into 0 30.846 * [backup-simplify]: Simplify 0 into 0 30.846 * [backup-simplify]: Simplify 0 into 0 30.848 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 30.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.860 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 30.861 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 30.864 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k))))))) 30.864 * * * [progress]: simplifying candidates 30.864 * * * * [progress]: [ 1 / 182 ] simplifiying candidate # 30.864 * * * * [progress]: [ 2 / 182 ] simplifiying candidate # 30.864 * * * * [progress]: [ 3 / 182 ] simplifiying candidate # 30.864 * [simplify]: Simplifying (* (log n) (/ (- 1 k) 2)) 30.865 * * [simplify]: iters left: 6 (8 enodes) 30.867 * * [simplify]: iters left: 5 (35 enodes) 30.873 * * [simplify]: iters left: 4 (56 enodes) 30.882 * * [simplify]: iters left: 3 (72 enodes) 30.898 * * [simplify]: iters left: 2 (129 enodes) 30.951 * * [simplify]: iters left: 1 (172 enodes) 30.999 * * [simplify]: Extracting #0: cost 1 inf + 0 30.999 * * [simplify]: Extracting #1: cost 17 inf + 0 30.999 * * [simplify]: Extracting #2: cost 42 inf + 3 30.999 * * [simplify]: Extracting #3: cost 29 inf + 1337 31.001 * * [simplify]: Extracting #4: cost 4 inf + 4499 31.002 * * [simplify]: Extracting #5: cost 0 inf + 5037 31.004 * * [simplify]: Extracting #6: cost 0 inf + 5034 31.005 * [simplify]: Simplified to (* 1/2 (- (log n) (* k (log n)))) 31.005 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* 1/2 (- (log n) (* k (log n))))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.005 * * * * [progress]: [ 4 / 182 ] simplifiying candidate # 31.006 * * * * [progress]: [ 5 / 182 ] simplifiying candidate # 31.006 * * * * [progress]: [ 6 / 182 ] simplifiying candidate # 31.006 * [simplify]: Simplifying (pow n (/ k 2)) 31.006 * * [simplify]: iters left: 3 (5 enodes) 31.008 * * [simplify]: iters left: 2 (18 enodes) 31.014 * * [simplify]: iters left: 1 (30 enodes) 31.025 * * [simplify]: Extracting #0: cost 1 inf + 0 31.025 * * [simplify]: Extracting #1: cost 10 inf + 0 31.025 * * [simplify]: Extracting #2: cost 23 inf + 1 31.026 * * [simplify]: Extracting #3: cost 23 inf + 46 31.026 * * [simplify]: Extracting #4: cost 11 inf + 1346 31.027 * * [simplify]: Extracting #5: cost 1 inf + 3938 31.028 * * [simplify]: Extracting #6: cost 0 inf + 4111 31.029 * * [simplify]: Extracting #7: cost 0 inf + 4070 31.030 * [simplify]: Simplified to (pow n (/ k 2)) 31.030 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.030 * * * * [progress]: [ 7 / 182 ] simplifiying candidate # 31.030 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 31.030 * * [simplify]: iters left: 5 (6 enodes) 31.035 * * [simplify]: iters left: 4 (26 enodes) 31.044 * * [simplify]: iters left: 3 (35 enodes) 31.055 * * [simplify]: Extracting #0: cost 1 inf + 0 31.055 * * [simplify]: Extracting #1: cost 3 inf + 0 31.055 * * [simplify]: Extracting #2: cost 8 inf + 0 31.055 * * [simplify]: Extracting #3: cost 11 inf + 2 31.055 * * [simplify]: Extracting #4: cost 8 inf + 87 31.055 * * [simplify]: Extracting #5: cost 2 inf + 500 31.056 * * [simplify]: Extracting #6: cost 0 inf + 746 31.056 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 31.056 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.056 * * * * [progress]: [ 8 / 182 ] simplifiying candidate # 31.057 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 31.057 * * [simplify]: iters left: 5 (6 enodes) 31.061 * * [simplify]: iters left: 4 (26 enodes) 31.071 * * [simplify]: iters left: 3 (35 enodes) 31.081 * * [simplify]: Extracting #0: cost 1 inf + 0 31.081 * * [simplify]: Extracting #1: cost 3 inf + 0 31.081 * * [simplify]: Extracting #2: cost 8 inf + 0 31.082 * * [simplify]: Extracting #3: cost 11 inf + 2 31.082 * * [simplify]: Extracting #4: cost 8 inf + 87 31.082 * * [simplify]: Extracting #5: cost 2 inf + 460 31.082 * * [simplify]: Extracting #6: cost 0 inf + 666 31.083 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 31.083 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.083 * * * * [progress]: [ 9 / 182 ] simplifiying candidate # 31.083 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 31.083 * * [simplify]: iters left: 5 (7 enodes) 31.089 * * [simplify]: iters left: 4 (25 enodes) 31.098 * * [simplify]: iters left: 3 (30 enodes) 31.111 * * [simplify]: Extracting #0: cost 1 inf + 0 31.111 * * [simplify]: Extracting #1: cost 4 inf + 0 31.111 * * [simplify]: Extracting #2: cost 8 inf + 0 31.111 * * [simplify]: Extracting #3: cost 10 inf + 82 31.111 * * [simplify]: Extracting #4: cost 7 inf + 206 31.111 * * [simplify]: Extracting #5: cost 2 inf + 575 31.112 * * [simplify]: Extracting #6: cost 1 inf + 818 31.112 * * [simplify]: Extracting #7: cost 0 inf + 1061 31.112 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 31.113 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.113 * * * * [progress]: [ 10 / 182 ] simplifiying candidate # 31.113 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 31.113 * * [simplify]: iters left: 5 (7 enodes) 31.117 * * [simplify]: iters left: 4 (25 enodes) 31.126 * * [simplify]: iters left: 3 (30 enodes) 31.136 * * [simplify]: Extracting #0: cost 1 inf + 0 31.136 * * [simplify]: Extracting #1: cost 4 inf + 0 31.136 * * [simplify]: Extracting #2: cost 8 inf + 0 31.136 * * [simplify]: Extracting #3: cost 10 inf + 42 31.136 * * [simplify]: Extracting #4: cost 7 inf + 126 31.137 * * [simplify]: Extracting #5: cost 2 inf + 495 31.137 * * [simplify]: Extracting #6: cost 1 inf + 698 31.137 * * [simplify]: Extracting #7: cost 0 inf + 901 31.138 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 31.138 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.138 * * * * [progress]: [ 11 / 182 ] simplifiying candidate # 31.138 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 31.138 * * [simplify]: iters left: 5 (6 enodes) 31.142 * * [simplify]: iters left: 4 (22 enodes) 31.150 * * [simplify]: iters left: 3 (27 enodes) 31.154 * * [simplify]: Extracting #0: cost 1 inf + 0 31.154 * * [simplify]: Extracting #1: cost 4 inf + 0 31.154 * * [simplify]: Extracting #2: cost 5 inf + 1 31.154 * * [simplify]: Extracting #3: cost 9 inf + 1 31.154 * * [simplify]: Extracting #4: cost 8 inf + 3 31.154 * * [simplify]: Extracting #5: cost 4 inf + 169 31.155 * * [simplify]: Extracting #6: cost 1 inf + 576 31.155 * * [simplify]: Extracting #7: cost 0 inf + 739 31.155 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 31.155 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.155 * * * * [progress]: [ 12 / 182 ] simplifiying candidate # 31.155 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 31.155 * * [simplify]: iters left: 5 (7 enodes) 31.157 * * [simplify]: iters left: 4 (25 enodes) 31.162 * * [simplify]: iters left: 3 (30 enodes) 31.167 * * [simplify]: Extracting #0: cost 1 inf + 0 31.167 * * [simplify]: Extracting #1: cost 4 inf + 0 31.167 * * [simplify]: Extracting #2: cost 8 inf + 0 31.167 * * [simplify]: Extracting #3: cost 10 inf + 82 31.167 * * [simplify]: Extracting #4: cost 7 inf + 206 31.167 * * [simplify]: Extracting #5: cost 2 inf + 495 31.167 * * [simplify]: Extracting #6: cost 1 inf + 698 31.167 * * [simplify]: Extracting #7: cost 0 inf + 901 31.168 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 31.168 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.168 * * * * [progress]: [ 13 / 182 ] simplifiying candidate # 31.168 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 31.168 * * [simplify]: iters left: 5 (7 enodes) 31.170 * * [simplify]: iters left: 4 (25 enodes) 31.175 * * [simplify]: iters left: 3 (30 enodes) 31.179 * * [simplify]: Extracting #0: cost 1 inf + 0 31.180 * * [simplify]: Extracting #1: cost 4 inf + 0 31.180 * * [simplify]: Extracting #2: cost 8 inf + 0 31.180 * * [simplify]: Extracting #3: cost 10 inf + 42 31.180 * * [simplify]: Extracting #4: cost 7 inf + 126 31.180 * * [simplify]: Extracting #5: cost 2 inf + 415 31.180 * * [simplify]: Extracting #6: cost 1 inf + 578 31.180 * * [simplify]: Extracting #7: cost 0 inf + 741 31.180 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 31.180 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.181 * * * * [progress]: [ 14 / 182 ] simplifiying candidate # 31.181 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 31.181 * * [simplify]: iters left: 5 (6 enodes) 31.183 * * [simplify]: iters left: 4 (22 enodes) 31.191 * * [simplify]: iters left: 3 (27 enodes) 31.199 * * [simplify]: Extracting #0: cost 1 inf + 0 31.199 * * [simplify]: Extracting #1: cost 4 inf + 0 31.199 * * [simplify]: Extracting #2: cost 5 inf + 1 31.199 * * [simplify]: Extracting #3: cost 9 inf + 1 31.200 * * [simplify]: Extracting #4: cost 8 inf + 3 31.200 * * [simplify]: Extracting #5: cost 4 inf + 169 31.200 * * [simplify]: Extracting #6: cost 1 inf + 456 31.200 * * [simplify]: Extracting #7: cost 0 inf + 579 31.201 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 31.201 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.201 * * * * [progress]: [ 15 / 182 ] simplifiying candidate # 31.201 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 31.201 * * [simplify]: iters left: 4 (6 enodes) 31.205 * * [simplify]: iters left: 3 (25 enodes) 31.213 * * [simplify]: iters left: 2 (36 enodes) 31.218 * * [simplify]: iters left: 1 (40 enodes) 31.227 * * [simplify]: Extracting #0: cost 1 inf + 0 31.227 * * [simplify]: Extracting #1: cost 7 inf + 0 31.227 * * [simplify]: Extracting #2: cost 16 inf + 0 31.228 * * [simplify]: Extracting #3: cost 13 inf + 44 31.228 * * [simplify]: Extracting #4: cost 3 inf + 1103 31.228 * * [simplify]: Extracting #5: cost 0 inf + 1469 31.228 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 31.228 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.228 * * * * [progress]: [ 16 / 182 ] simplifiying candidate # 31.229 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 31.229 * * [simplify]: iters left: 4 (6 enodes) 31.231 * * [simplify]: iters left: 3 (25 enodes) 31.236 * * [simplify]: iters left: 2 (36 enodes) 31.246 * * [simplify]: iters left: 1 (40 enodes) 31.260 * * [simplify]: Extracting #0: cost 1 inf + 0 31.260 * * [simplify]: Extracting #1: cost 7 inf + 0 31.260 * * [simplify]: Extracting #2: cost 16 inf + 0 31.260 * * [simplify]: Extracting #3: cost 13 inf + 44 31.261 * * [simplify]: Extracting #4: cost 3 inf + 823 31.261 * * [simplify]: Extracting #5: cost 0 inf + 1069 31.262 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 31.262 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.262 * * * * [progress]: [ 17 / 182 ] simplifiying candidate # 31.263 * [simplify]: Simplifying (/ (- 1 k) 2) 31.263 * * [simplify]: iters left: 4 (5 enodes) 31.267 * * [simplify]: iters left: 3 (23 enodes) 31.275 * * [simplify]: iters left: 2 (32 enodes) 31.282 * * [simplify]: Extracting #0: cost 1 inf + 0 31.282 * * [simplify]: Extracting #1: cost 6 inf + 0 31.282 * * [simplify]: Extracting #2: cost 9 inf + 2 31.282 * * [simplify]: Extracting #3: cost 6 inf + 87 31.282 * * [simplify]: Extracting #4: cost 0 inf + 420 31.282 * [simplify]: Simplified to (/ (- 1 k) 2) 31.282 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.283 * * * * [progress]: [ 18 / 182 ] simplifiying candidate # 31.283 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 31.283 * * [simplify]: iters left: 5 (8 enodes) 31.286 * * [simplify]: iters left: 4 (31 enodes) 31.291 * * [simplify]: iters left: 3 (45 enodes) 31.298 * * [simplify]: iters left: 2 (51 enodes) 31.306 * * [simplify]: iters left: 1 (52 enodes) 31.316 * * [simplify]: Extracting #0: cost 1 inf + 0 31.316 * * [simplify]: Extracting #1: cost 8 inf + 0 31.316 * * [simplify]: Extracting #2: cost 18 inf + 0 31.316 * * [simplify]: Extracting #3: cost 19 inf + 2 31.317 * * [simplify]: Extracting #4: cost 9 inf + 977 31.317 * * [simplify]: Extracting #5: cost 2 inf + 1790 31.318 * * [simplify]: Extracting #6: cost 0 inf + 2195 31.319 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 31.319 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.319 * * * * [progress]: [ 19 / 182 ] simplifiying candidate # 31.319 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 31.320 * * [simplify]: iters left: 5 (8 enodes) 31.325 * * [simplify]: iters left: 4 (31 enodes) 31.334 * * [simplify]: iters left: 3 (45 enodes) 31.343 * * [simplify]: iters left: 2 (51 enodes) 31.350 * * [simplify]: iters left: 1 (52 enodes) 31.357 * * [simplify]: Extracting #0: cost 1 inf + 0 31.357 * * [simplify]: Extracting #1: cost 8 inf + 0 31.358 * * [simplify]: Extracting #2: cost 18 inf + 0 31.358 * * [simplify]: Extracting #3: cost 19 inf + 2 31.358 * * [simplify]: Extracting #4: cost 9 inf + 697 31.358 * * [simplify]: Extracting #5: cost 2 inf + 1390 31.358 * * [simplify]: Extracting #6: cost 0 inf + 1715 31.359 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 31.359 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.359 * * * * [progress]: [ 20 / 182 ] simplifiying candidate # 31.359 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 31.359 * * [simplify]: iters left: 5 (7 enodes) 31.362 * * [simplify]: iters left: 4 (29 enodes) 31.372 * * [simplify]: iters left: 3 (43 enodes) 31.385 * * [simplify]: iters left: 2 (47 enodes) 31.397 * * [simplify]: Extracting #0: cost 1 inf + 0 31.397 * * [simplify]: Extracting #1: cost 7 inf + 0 31.397 * * [simplify]: Extracting #2: cost 11 inf + 2 31.397 * * [simplify]: Extracting #3: cost 13 inf + 3 31.397 * * [simplify]: Extracting #4: cost 11 inf + 45 31.398 * * [simplify]: Extracting #5: cost 0 inf + 1066 31.398 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 31.398 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.398 * * * * [progress]: [ 21 / 182 ] simplifiying candidate # 31.399 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 31.399 * * [simplify]: iters left: 5 (7 enodes) 31.403 * * [simplify]: iters left: 4 (28 enodes) 31.413 * * [simplify]: iters left: 3 (39 enodes) 31.426 * * [simplify]: iters left: 2 (43 enodes) 31.441 * * [simplify]: Extracting #0: cost 1 inf + 0 31.441 * * [simplify]: Extracting #1: cost 7 inf + 0 31.441 * * [simplify]: Extracting #2: cost 16 inf + 0 31.441 * * [simplify]: Extracting #3: cost 15 inf + 164 31.441 * * [simplify]: Extracting #4: cost 13 inf + 287 31.442 * * [simplify]: Extracting #5: cost 5 inf + 1180 31.442 * * [simplify]: Extracting #6: cost 0 inf + 1951 31.443 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 31.443 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.443 * * * * [progress]: [ 22 / 182 ] simplifiying candidate # 31.443 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 31.444 * * [simplify]: iters left: 5 (7 enodes) 31.448 * * [simplify]: iters left: 4 (28 enodes) 31.457 * * [simplify]: iters left: 3 (39 enodes) 31.464 * * [simplify]: iters left: 2 (43 enodes) 31.471 * * [simplify]: Extracting #0: cost 1 inf + 0 31.471 * * [simplify]: Extracting #1: cost 7 inf + 0 31.471 * * [simplify]: Extracting #2: cost 16 inf + 0 31.471 * * [simplify]: Extracting #3: cost 15 inf + 84 31.471 * * [simplify]: Extracting #4: cost 13 inf + 167 31.471 * * [simplify]: Extracting #5: cost 5 inf + 900 31.472 * * [simplify]: Extracting #6: cost 0 inf + 1551 31.472 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 31.472 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.472 * * * * [progress]: [ 23 / 182 ] simplifiying candidate # 31.474 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 31.474 * * [simplify]: iters left: 5 (6 enodes) 31.477 * * [simplify]: iters left: 4 (26 enodes) 31.482 * * [simplify]: iters left: 3 (35 enodes) 31.488 * * [simplify]: Extracting #0: cost 1 inf + 0 31.488 * * [simplify]: Extracting #1: cost 6 inf + 0 31.488 * * [simplify]: Extracting #2: cost 9 inf + 2 31.489 * * [simplify]: Extracting #3: cost 11 inf + 3 31.489 * * [simplify]: Extracting #4: cost 10 inf + 4 31.489 * * [simplify]: Extracting #5: cost 3 inf + 535 31.489 * * [simplify]: Extracting #6: cost 0 inf + 822 31.490 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 31.490 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.490 * * * * [progress]: [ 24 / 182 ] simplifiying candidate # 31.490 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 31.490 * * [simplify]: iters left: 4 (6 enodes) 31.494 * * [simplify]: iters left: 3 (25 enodes) 31.503 * * [simplify]: iters left: 2 (36 enodes) 31.515 * * [simplify]: iters left: 1 (40 enodes) 31.527 * * [simplify]: Extracting #0: cost 1 inf + 0 31.527 * * [simplify]: Extracting #1: cost 7 inf + 0 31.527 * * [simplify]: Extracting #2: cost 16 inf + 0 31.527 * * [simplify]: Extracting #3: cost 13 inf + 44 31.528 * * [simplify]: Extracting #4: cost 3 inf + 1103 31.528 * * [simplify]: Extracting #5: cost 0 inf + 1469 31.529 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 31.529 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.529 * * * * [progress]: [ 25 / 182 ] simplifiying candidate # 31.529 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 31.529 * * [simplify]: iters left: 4 (6 enodes) 31.534 * * [simplify]: iters left: 3 (25 enodes) 31.539 * * [simplify]: iters left: 2 (36 enodes) 31.545 * * [simplify]: iters left: 1 (40 enodes) 31.551 * * [simplify]: Extracting #0: cost 1 inf + 0 31.551 * * [simplify]: Extracting #1: cost 7 inf + 0 31.551 * * [simplify]: Extracting #2: cost 16 inf + 0 31.551 * * [simplify]: Extracting #3: cost 13 inf + 44 31.552 * * [simplify]: Extracting #4: cost 3 inf + 823 31.552 * * [simplify]: Extracting #5: cost 0 inf + 1069 31.552 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 31.552 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.552 * * * * [progress]: [ 26 / 182 ] simplifiying candidate # 31.552 * [simplify]: Simplifying (/ (- 1 k) 2) 31.553 * * [simplify]: iters left: 4 (5 enodes) 31.555 * * [simplify]: iters left: 3 (23 enodes) 31.559 * * [simplify]: iters left: 2 (32 enodes) 31.565 * * [simplify]: Extracting #0: cost 1 inf + 0 31.565 * * [simplify]: Extracting #1: cost 6 inf + 0 31.565 * * [simplify]: Extracting #2: cost 9 inf + 2 31.565 * * [simplify]: Extracting #3: cost 6 inf + 87 31.565 * * [simplify]: Extracting #4: cost 0 inf + 420 31.566 * [simplify]: Simplified to (/ (- 1 k) 2) 31.566 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.566 * * * * [progress]: [ 27 / 182 ] simplifiying candidate # 31.566 * [simplify]: Simplifying (/ (- 1 k) 2) 31.566 * * [simplify]: iters left: 4 (5 enodes) 31.569 * * [simplify]: iters left: 3 (23 enodes) 31.577 * * [simplify]: iters left: 2 (32 enodes) 31.587 * * [simplify]: Extracting #0: cost 1 inf + 0 31.588 * * [simplify]: Extracting #1: cost 6 inf + 0 31.588 * * [simplify]: Extracting #2: cost 9 inf + 2 31.588 * * [simplify]: Extracting #3: cost 6 inf + 87 31.588 * * [simplify]: Extracting #4: cost 0 inf + 420 31.588 * [simplify]: Simplified to (/ (- 1 k) 2) 31.588 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n 1) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.588 * * * * [progress]: [ 28 / 182 ] simplifiying candidate # 31.589 * [simplify]: Simplifying (/ 1 2) 31.589 * * [simplify]: iters left: 2 (3 enodes) 31.592 * * [simplify]: iters left: 1 (12 enodes) 31.600 * * [simplify]: Extracting #0: cost 1 inf + 0 31.600 * * [simplify]: Extracting #1: cost 0 inf + 1 31.600 * [simplify]: Simplified to 1/2 31.600 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (- 1 k)) 1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.600 * * * * [progress]: [ 29 / 182 ] simplifiying candidate # 31.600 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 31.601 * * [simplify]: iters left: 5 (9 enodes) 31.606 * * [simplify]: iters left: 4 (38 enodes) 31.621 * * [simplify]: iters left: 3 (63 enodes) 31.643 * * [simplify]: iters left: 2 (98 enodes) 31.677 * * [simplify]: iters left: 1 (167 enodes) 31.742 * * [simplify]: Extracting #0: cost 1 inf + 0 31.743 * * [simplify]: Extracting #1: cost 13 inf + 0 31.743 * * [simplify]: Extracting #2: cost 54 inf + 1 31.743 * * [simplify]: Extracting #3: cost 87 inf + 5 31.744 * * [simplify]: Extracting #4: cost 68 inf + 1334 31.750 * * [simplify]: Extracting #5: cost 40 inf + 5047 31.753 * * [simplify]: Extracting #6: cost 11 inf + 17686 31.756 * * [simplify]: Extracting #7: cost 0 inf + 25802 31.760 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 31.760 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow (cbrt n) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.760 * * * * [progress]: [ 30 / 182 ] simplifiying candidate # 31.761 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 31.761 * * [simplify]: iters left: 5 (8 enodes) 31.764 * * [simplify]: iters left: 4 (35 enodes) 31.770 * * [simplify]: iters left: 3 (56 enodes) 31.780 * * [simplify]: iters left: 2 (89 enodes) 31.815 * * [simplify]: iters left: 1 (175 enodes) 31.885 * * [simplify]: Extracting #0: cost 1 inf + 0 31.886 * * [simplify]: Extracting #1: cost 13 inf + 0 31.886 * * [simplify]: Extracting #2: cost 53 inf + 1 31.886 * * [simplify]: Extracting #3: cost 83 inf + 47 31.887 * * [simplify]: Extracting #4: cost 60 inf + 2914 31.889 * * [simplify]: Extracting #5: cost 14 inf + 15118 31.892 * * [simplify]: Extracting #6: cost 1 inf + 21571 31.896 * * [simplify]: Extracting #7: cost 0 inf + 21783 31.899 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 31.899 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.899 * * * * [progress]: [ 31 / 182 ] simplifiying candidate # 31.899 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 31.899 * * [simplify]: iters left: 5 (6 enodes) 31.902 * * [simplify]: iters left: 4 (24 enodes) 31.906 * * [simplify]: iters left: 3 (33 enodes) 31.916 * * [simplify]: Extracting #0: cost 1 inf + 0 31.916 * * [simplify]: Extracting #1: cost 0 inf + 1 31.916 * [simplify]: Simplified to 1 31.916 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* 1 (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.916 * * * * [progress]: [ 32 / 182 ] simplifiying candidate # 31.916 * * * * [progress]: [ 33 / 182 ] simplifiying candidate # 31.916 * * * * [progress]: [ 34 / 182 ] simplifiying candidate # 31.916 * * * * [progress]: [ 35 / 182 ] simplifiying candidate # 31.916 * * * * [progress]: [ 36 / 182 ] simplifiying candidate # 31.916 * * * * [progress]: [ 37 / 182 ] simplifiying candidate # 31.916 * * * * [progress]: [ 38 / 182 ] simplifiying candidate # 31.916 * * * * [progress]: [ 39 / 182 ] simplifiying candidate # 31.916 * * * * [progress]: [ 40 / 182 ] simplifiying candidate #real (real->posit16 (pow n (/ (- 1 k) 2)))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))> 31.917 * * * * [progress]: [ 41 / 182 ] simplifiying candidate # 31.917 * * * * [progress]: [ 42 / 182 ] simplifiying candidate # 31.917 * * * * [progress]: [ 43 / 182 ] simplifiying candidate # 31.917 * [simplify]: Simplifying (* (+ (log 2) (log PI)) (/ (- 1 k) 2)) 31.917 * * [simplify]: iters left: 6 (10 enodes) 31.921 * * [simplify]: iters left: 5 (42 enodes) 31.929 * * [simplify]: iters left: 4 (71 enodes) 31.942 * * [simplify]: iters left: 3 (127 enodes) 31.979 * * [simplify]: iters left: 2 (262 enodes) 32.092 * * [simplify]: Extracting #0: cost 1 inf + 0 32.092 * * [simplify]: Extracting #1: cost 21 inf + 0 32.092 * * [simplify]: Extracting #2: cost 69 inf + 2 32.093 * * [simplify]: Extracting #3: cost 83 inf + 732 32.096 * * [simplify]: Extracting #4: cost 23 inf + 12023 32.101 * * [simplify]: Extracting #5: cost 0 inf + 17633 32.106 * * [simplify]: Extracting #6: cost 0 inf + 17570 32.111 * [simplify]: Simplified to (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2) 32.111 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (exp (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2))) (sqrt k))) 32.111 * * * * [progress]: [ 44 / 182 ] simplifiying candidate # 32.112 * [simplify]: Simplifying (* (log (* 2 PI)) (/ (- 1 k) 2)) 32.112 * * [simplify]: iters left: 6 (9 enodes) 32.115 * * [simplify]: iters left: 5 (42 enodes) 32.123 * * [simplify]: iters left: 4 (74 enodes) 32.148 * * [simplify]: iters left: 3 (130 enodes) 32.191 * * [simplify]: iters left: 2 (267 enodes) 32.303 * * [simplify]: Extracting #0: cost 1 inf + 0 32.303 * * [simplify]: Extracting #1: cost 21 inf + 0 32.304 * * [simplify]: Extracting #2: cost 71 inf + 2 32.304 * * [simplify]: Extracting #3: cost 90 inf + 354 32.306 * * [simplify]: Extracting #4: cost 35 inf + 8801 32.314 * * [simplify]: Extracting #5: cost 3 inf + 15739 32.324 * * [simplify]: Extracting #6: cost 0 inf + 16238 32.333 * * [simplify]: Extracting #7: cost 0 inf + 16237 32.339 * [simplify]: Simplified to (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) 32.339 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (exp (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2))) (sqrt k))) 32.339 * * * * [progress]: [ 45 / 182 ] simplifiying candidate # 32.339 * * * * [progress]: [ 46 / 182 ] simplifiying candidate # 32.339 * [simplify]: Simplifying (* 2 PI) 32.339 * * [simplify]: iters left: 2 (3 enodes) 32.340 * * [simplify]: iters left: 1 (10 enodes) 32.344 * * [simplify]: Extracting #0: cost 1 inf + 0 32.344 * * [simplify]: Extracting #1: cost 4 inf + 0 32.345 * * [simplify]: Extracting #2: cost 2 inf + 2 32.345 * * [simplify]: Extracting #3: cost 0 inf + 86 32.345 * [simplify]: Simplified to (* 2 PI) 32.345 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (* 1 (/ (- 1 k) 2)))) (sqrt k))) 32.345 * * * * [progress]: [ 47 / 182 ] simplifiying candidate # 32.345 * [simplify]: Simplifying (* 2 PI) 32.345 * * [simplify]: iters left: 2 (3 enodes) 32.346 * * [simplify]: iters left: 1 (10 enodes) 32.347 * * [simplify]: Extracting #0: cost 1 inf + 0 32.347 * * [simplify]: Extracting #1: cost 4 inf + 0 32.347 * * [simplify]: Extracting #2: cost 2 inf + 2 32.348 * * [simplify]: Extracting #3: cost 0 inf + 86 32.348 * [simplify]: Simplified to (* 2 PI) 32.348 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (* 1 (/ (- 1 k) 2)))) (sqrt k))) 32.348 * * * * [progress]: [ 48 / 182 ] simplifiying candidate # 32.348 * [simplify]: Simplifying (pow (* 2 PI) (/ k 2)) 32.348 * * [simplify]: iters left: 3 (6 enodes) 32.349 * * [simplify]: iters left: 2 (22 enodes) 32.353 * * [simplify]: iters left: 1 (34 enodes) 32.359 * * [simplify]: Extracting #0: cost 1 inf + 0 32.359 * * [simplify]: Extracting #1: cost 10 inf + 0 32.359 * * [simplify]: Extracting #2: cost 26 inf + 0 32.359 * * [simplify]: Extracting #3: cost 23 inf + 128 32.359 * * [simplify]: Extracting #4: cost 10 inf + 1713 32.360 * * [simplify]: Extracting #5: cost 0 inf + 4919 32.360 * [simplify]: Simplified to (pow (* 2 PI) (/ k 2)) 32.361 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt k))) 32.361 * * * * [progress]: [ 49 / 182 ] simplifiying candidate # 32.361 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 32.361 * * [simplify]: iters left: 5 (6 enodes) 32.363 * * [simplify]: iters left: 4 (26 enodes) 32.368 * * [simplify]: iters left: 3 (35 enodes) 32.374 * * [simplify]: Extracting #0: cost 1 inf + 0 32.374 * * [simplify]: Extracting #1: cost 3 inf + 0 32.374 * * [simplify]: Extracting #2: cost 8 inf + 0 32.374 * * [simplify]: Extracting #3: cost 11 inf + 2 32.374 * * [simplify]: Extracting #4: cost 8 inf + 87 32.374 * * [simplify]: Extracting #5: cost 2 inf + 500 32.374 * * [simplify]: Extracting #6: cost 0 inf + 746 32.375 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 32.375 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))) (sqrt k))) 32.375 * * * * [progress]: [ 50 / 182 ] simplifiying candidate # 32.375 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 32.375 * * [simplify]: iters left: 5 (6 enodes) 32.377 * * [simplify]: iters left: 4 (26 enodes) 32.386 * * [simplify]: iters left: 3 (35 enodes) 32.397 * * [simplify]: Extracting #0: cost 1 inf + 0 32.397 * * [simplify]: Extracting #1: cost 3 inf + 0 32.397 * * [simplify]: Extracting #2: cost 8 inf + 0 32.397 * * [simplify]: Extracting #3: cost 11 inf + 2 32.397 * * [simplify]: Extracting #4: cost 8 inf + 87 32.397 * * [simplify]: Extracting #5: cost 2 inf + 460 32.398 * * [simplify]: Extracting #6: cost 0 inf + 666 32.398 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 32.398 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))) (sqrt k))) 32.398 * * * * [progress]: [ 51 / 182 ] simplifiying candidate # 32.398 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 32.399 * * [simplify]: iters left: 5 (7 enodes) 32.403 * * [simplify]: iters left: 4 (25 enodes) 32.411 * * [simplify]: iters left: 3 (30 enodes) 32.420 * * [simplify]: Extracting #0: cost 1 inf + 0 32.420 * * [simplify]: Extracting #1: cost 4 inf + 0 32.420 * * [simplify]: Extracting #2: cost 8 inf + 0 32.420 * * [simplify]: Extracting #3: cost 10 inf + 82 32.420 * * [simplify]: Extracting #4: cost 7 inf + 206 32.420 * * [simplify]: Extracting #5: cost 2 inf + 575 32.420 * * [simplify]: Extracting #6: cost 1 inf + 818 32.421 * * [simplify]: Extracting #7: cost 0 inf + 1061 32.421 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 32.421 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))) (sqrt k))) 32.421 * * * * [progress]: [ 52 / 182 ] simplifiying candidate # 32.421 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 32.421 * * [simplify]: iters left: 5 (7 enodes) 32.423 * * [simplify]: iters left: 4 (25 enodes) 32.428 * * [simplify]: iters left: 3 (30 enodes) 32.433 * * [simplify]: Extracting #0: cost 1 inf + 0 32.433 * * [simplify]: Extracting #1: cost 4 inf + 0 32.433 * * [simplify]: Extracting #2: cost 8 inf + 0 32.433 * * [simplify]: Extracting #3: cost 10 inf + 42 32.433 * * [simplify]: Extracting #4: cost 7 inf + 126 32.433 * * [simplify]: Extracting #5: cost 2 inf + 495 32.433 * * [simplify]: Extracting #6: cost 1 inf + 698 32.433 * * [simplify]: Extracting #7: cost 0 inf + 901 32.433 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 32.434 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))) (sqrt k))) 32.434 * * * * [progress]: [ 53 / 182 ] simplifiying candidate # 32.434 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 32.434 * * [simplify]: iters left: 5 (6 enodes) 32.436 * * [simplify]: iters left: 4 (22 enodes) 32.440 * * [simplify]: iters left: 3 (27 enodes) 32.444 * * [simplify]: Extracting #0: cost 1 inf + 0 32.444 * * [simplify]: Extracting #1: cost 4 inf + 0 32.444 * * [simplify]: Extracting #2: cost 5 inf + 1 32.444 * * [simplify]: Extracting #3: cost 9 inf + 1 32.444 * * [simplify]: Extracting #4: cost 8 inf + 3 32.444 * * [simplify]: Extracting #5: cost 4 inf + 169 32.444 * * [simplify]: Extracting #6: cost 1 inf + 576 32.444 * * [simplify]: Extracting #7: cost 0 inf + 739 32.444 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 32.444 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))) (sqrt k))) 32.445 * * * * [progress]: [ 54 / 182 ] simplifiying candidate # 32.445 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 32.445 * * [simplify]: iters left: 5 (7 enodes) 32.449 * * [simplify]: iters left: 4 (25 enodes) 32.456 * * [simplify]: iters left: 3 (30 enodes) 32.466 * * [simplify]: Extracting #0: cost 1 inf + 0 32.466 * * [simplify]: Extracting #1: cost 4 inf + 0 32.466 * * [simplify]: Extracting #2: cost 8 inf + 0 32.466 * * [simplify]: Extracting #3: cost 10 inf + 82 32.466 * * [simplify]: Extracting #4: cost 7 inf + 206 32.466 * * [simplify]: Extracting #5: cost 2 inf + 495 32.467 * * [simplify]: Extracting #6: cost 1 inf + 698 32.467 * * [simplify]: Extracting #7: cost 0 inf + 901 32.467 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 32.467 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))) (sqrt k))) 32.468 * * * * [progress]: [ 55 / 182 ] simplifiying candidate # 32.468 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 32.468 * * [simplify]: iters left: 5 (7 enodes) 32.472 * * [simplify]: iters left: 4 (25 enodes) 32.481 * * [simplify]: iters left: 3 (30 enodes) 32.487 * * [simplify]: Extracting #0: cost 1 inf + 0 32.487 * * [simplify]: Extracting #1: cost 4 inf + 0 32.487 * * [simplify]: Extracting #2: cost 8 inf + 0 32.487 * * [simplify]: Extracting #3: cost 10 inf + 42 32.487 * * [simplify]: Extracting #4: cost 7 inf + 126 32.487 * * [simplify]: Extracting #5: cost 2 inf + 415 32.487 * * [simplify]: Extracting #6: cost 1 inf + 578 32.488 * * [simplify]: Extracting #7: cost 0 inf + 741 32.488 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 32.488 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))) (sqrt k))) 32.488 * * * * [progress]: [ 56 / 182 ] simplifiying candidate # 32.488 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 32.488 * * [simplify]: iters left: 5 (6 enodes) 32.490 * * [simplify]: iters left: 4 (22 enodes) 32.494 * * [simplify]: iters left: 3 (27 enodes) 32.498 * * [simplify]: Extracting #0: cost 1 inf + 0 32.498 * * [simplify]: Extracting #1: cost 4 inf + 0 32.498 * * [simplify]: Extracting #2: cost 5 inf + 1 32.498 * * [simplify]: Extracting #3: cost 9 inf + 1 32.498 * * [simplify]: Extracting #4: cost 8 inf + 3 32.498 * * [simplify]: Extracting #5: cost 4 inf + 169 32.498 * * [simplify]: Extracting #6: cost 1 inf + 456 32.499 * * [simplify]: Extracting #7: cost 0 inf + 579 32.499 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 32.499 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))) (sqrt k))) 32.499 * * * * [progress]: [ 57 / 182 ] simplifiying candidate # 32.499 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 32.499 * * [simplify]: iters left: 4 (6 enodes) 32.501 * * [simplify]: iters left: 3 (25 enodes) 32.506 * * [simplify]: iters left: 2 (36 enodes) 32.511 * * [simplify]: iters left: 1 (40 enodes) 32.520 * * [simplify]: Extracting #0: cost 1 inf + 0 32.520 * * [simplify]: Extracting #1: cost 7 inf + 0 32.520 * * [simplify]: Extracting #2: cost 16 inf + 0 32.520 * * [simplify]: Extracting #3: cost 13 inf + 44 32.520 * * [simplify]: Extracting #4: cost 3 inf + 1103 32.521 * * [simplify]: Extracting #5: cost 0 inf + 1469 32.521 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 32.521 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))) (sqrt k))) 32.521 * * * * [progress]: [ 58 / 182 ] simplifiying candidate # 32.522 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 32.522 * * [simplify]: iters left: 4 (6 enodes) 32.526 * * [simplify]: iters left: 3 (25 enodes) 32.534 * * [simplify]: iters left: 2 (36 enodes) 32.544 * * [simplify]: iters left: 1 (40 enodes) 32.555 * * [simplify]: Extracting #0: cost 1 inf + 0 32.555 * * [simplify]: Extracting #1: cost 7 inf + 0 32.555 * * [simplify]: Extracting #2: cost 16 inf + 0 32.555 * * [simplify]: Extracting #3: cost 13 inf + 44 32.555 * * [simplify]: Extracting #4: cost 3 inf + 823 32.556 * * [simplify]: Extracting #5: cost 0 inf + 1069 32.556 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 32.556 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))) (sqrt k))) 32.557 * * * * [progress]: [ 59 / 182 ] simplifiying candidate # 32.557 * [simplify]: Simplifying (/ (- 1 k) 2) 32.557 * * [simplify]: iters left: 4 (5 enodes) 32.562 * * [simplify]: iters left: 3 (23 enodes) 32.573 * * [simplify]: iters left: 2 (32 enodes) 32.582 * * [simplify]: Extracting #0: cost 1 inf + 0 32.582 * * [simplify]: Extracting #1: cost 6 inf + 0 32.583 * * [simplify]: Extracting #2: cost 9 inf + 2 32.583 * * [simplify]: Extracting #3: cost 6 inf + 87 32.583 * * [simplify]: Extracting #4: cost 0 inf + 420 32.583 * [simplify]: Simplified to (/ (- 1 k) 2) 32.583 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ 1 1)) (/ (- 1 k) 2))) (sqrt k))) 32.583 * * * * [progress]: [ 60 / 182 ] simplifiying candidate # 32.584 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 32.584 * * [simplify]: iters left: 5 (8 enodes) 32.589 * * [simplify]: iters left: 4 (31 enodes) 32.599 * * [simplify]: iters left: 3 (45 enodes) 32.610 * * [simplify]: iters left: 2 (51 enodes) 32.617 * * [simplify]: iters left: 1 (52 enodes) 32.624 * * [simplify]: Extracting #0: cost 1 inf + 0 32.624 * * [simplify]: Extracting #1: cost 8 inf + 0 32.624 * * [simplify]: Extracting #2: cost 18 inf + 0 32.624 * * [simplify]: Extracting #3: cost 19 inf + 2 32.624 * * [simplify]: Extracting #4: cost 9 inf + 977 32.625 * * [simplify]: Extracting #5: cost 2 inf + 1790 32.625 * * [simplify]: Extracting #6: cost 0 inf + 2195 32.626 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 32.626 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))) (sqrt k))) 32.626 * * * * [progress]: [ 61 / 182 ] simplifiying candidate # 32.626 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 32.626 * * [simplify]: iters left: 5 (8 enodes) 32.629 * * [simplify]: iters left: 4 (31 enodes) 32.634 * * [simplify]: iters left: 3 (45 enodes) 32.642 * * [simplify]: iters left: 2 (51 enodes) 32.656 * * [simplify]: iters left: 1 (52 enodes) 32.671 * * [simplify]: Extracting #0: cost 1 inf + 0 32.671 * * [simplify]: Extracting #1: cost 8 inf + 0 32.671 * * [simplify]: Extracting #2: cost 18 inf + 0 32.671 * * [simplify]: Extracting #3: cost 19 inf + 2 32.672 * * [simplify]: Extracting #4: cost 9 inf + 697 32.672 * * [simplify]: Extracting #5: cost 2 inf + 1390 32.673 * * [simplify]: Extracting #6: cost 0 inf + 1715 32.674 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 32.674 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))) (sqrt k))) 32.674 * * * * [progress]: [ 62 / 182 ] simplifiying candidate # 32.675 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 32.675 * * [simplify]: iters left: 5 (7 enodes) 32.680 * * [simplify]: iters left: 4 (29 enodes) 32.689 * * [simplify]: iters left: 3 (43 enodes) 32.704 * * [simplify]: iters left: 2 (47 enodes) 32.716 * * [simplify]: Extracting #0: cost 1 inf + 0 32.717 * * [simplify]: Extracting #1: cost 7 inf + 0 32.717 * * [simplify]: Extracting #2: cost 11 inf + 2 32.717 * * [simplify]: Extracting #3: cost 13 inf + 3 32.717 * * [simplify]: Extracting #4: cost 11 inf + 45 32.717 * * [simplify]: Extracting #5: cost 0 inf + 1066 32.718 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 32.718 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 32.718 * * * * [progress]: [ 63 / 182 ] simplifiying candidate # 32.718 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 32.718 * * [simplify]: iters left: 5 (7 enodes) 32.724 * * [simplify]: iters left: 4 (28 enodes) 32.734 * * [simplify]: iters left: 3 (39 enodes) 32.746 * * [simplify]: iters left: 2 (43 enodes) 32.759 * * [simplify]: Extracting #0: cost 1 inf + 0 32.759 * * [simplify]: Extracting #1: cost 7 inf + 0 32.759 * * [simplify]: Extracting #2: cost 16 inf + 0 32.759 * * [simplify]: Extracting #3: cost 15 inf + 164 32.760 * * [simplify]: Extracting #4: cost 13 inf + 287 32.760 * * [simplify]: Extracting #5: cost 5 inf + 1180 32.761 * * [simplify]: Extracting #6: cost 0 inf + 1951 32.761 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 32.761 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))) (sqrt k))) 32.762 * * * * [progress]: [ 64 / 182 ] simplifiying candidate # 32.762 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 32.762 * * [simplify]: iters left: 5 (7 enodes) 32.767 * * [simplify]: iters left: 4 (28 enodes) 32.776 * * [simplify]: iters left: 3 (39 enodes) 32.789 * * [simplify]: iters left: 2 (43 enodes) 32.799 * * [simplify]: Extracting #0: cost 1 inf + 0 32.799 * * [simplify]: Extracting #1: cost 7 inf + 0 32.799 * * [simplify]: Extracting #2: cost 16 inf + 0 32.799 * * [simplify]: Extracting #3: cost 15 inf + 84 32.799 * * [simplify]: Extracting #4: cost 13 inf + 167 32.799 * * [simplify]: Extracting #5: cost 5 inf + 900 32.799 * * [simplify]: Extracting #6: cost 0 inf + 1551 32.800 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 32.800 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))) (sqrt k))) 32.800 * * * * [progress]: [ 65 / 182 ] simplifiying candidate # 32.800 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 32.800 * * [simplify]: iters left: 5 (6 enodes) 32.802 * * [simplify]: iters left: 4 (26 enodes) 32.807 * * [simplify]: iters left: 3 (35 enodes) 32.812 * * [simplify]: Extracting #0: cost 1 inf + 0 32.813 * * [simplify]: Extracting #1: cost 6 inf + 0 32.813 * * [simplify]: Extracting #2: cost 9 inf + 2 32.813 * * [simplify]: Extracting #3: cost 11 inf + 3 32.813 * * [simplify]: Extracting #4: cost 10 inf + 4 32.813 * * [simplify]: Extracting #5: cost 3 inf + 535 32.813 * * [simplify]: Extracting #6: cost 0 inf + 822 32.813 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 32.813 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 32.813 * * * * [progress]: [ 66 / 182 ] simplifiying candidate # 32.814 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 32.814 * * [simplify]: iters left: 4 (6 enodes) 32.816 * * [simplify]: iters left: 3 (25 enodes) 32.820 * * [simplify]: iters left: 2 (36 enodes) 32.826 * * [simplify]: iters left: 1 (40 enodes) 32.840 * * [simplify]: Extracting #0: cost 1 inf + 0 32.840 * * [simplify]: Extracting #1: cost 7 inf + 0 32.840 * * [simplify]: Extracting #2: cost 16 inf + 0 32.840 * * [simplify]: Extracting #3: cost 13 inf + 44 32.841 * * [simplify]: Extracting #4: cost 3 inf + 1103 32.841 * * [simplify]: Extracting #5: cost 0 inf + 1469 32.842 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 32.842 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))) (sqrt k))) 32.842 * * * * [progress]: [ 67 / 182 ] simplifiying candidate # 32.842 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 32.842 * * [simplify]: iters left: 4 (6 enodes) 32.846 * * [simplify]: iters left: 3 (25 enodes) 32.855 * * [simplify]: iters left: 2 (36 enodes) 32.866 * * [simplify]: iters left: 1 (40 enodes) 32.878 * * [simplify]: Extracting #0: cost 1 inf + 0 32.878 * * [simplify]: Extracting #1: cost 7 inf + 0 32.878 * * [simplify]: Extracting #2: cost 16 inf + 0 32.878 * * [simplify]: Extracting #3: cost 13 inf + 44 32.878 * * [simplify]: Extracting #4: cost 3 inf + 823 32.879 * * [simplify]: Extracting #5: cost 0 inf + 1069 32.880 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 32.880 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))) (sqrt k))) 32.880 * * * * [progress]: [ 68 / 182 ] simplifiying candidate # 32.880 * [simplify]: Simplifying (/ (- 1 k) 2) 32.880 * * [simplify]: iters left: 4 (5 enodes) 32.884 * * [simplify]: iters left: 3 (23 enodes) 32.892 * * [simplify]: iters left: 2 (32 enodes) 32.902 * * [simplify]: Extracting #0: cost 1 inf + 0 32.902 * * [simplify]: Extracting #1: cost 6 inf + 0 32.902 * * [simplify]: Extracting #2: cost 9 inf + 2 32.902 * * [simplify]: Extracting #3: cost 6 inf + 87 32.902 * * [simplify]: Extracting #4: cost 0 inf + 420 32.903 * [simplify]: Simplified to (/ (- 1 k) 2) 32.903 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ 1 1)) (/ (- 1 k) 2))) (sqrt k))) 32.903 * * * * [progress]: [ 69 / 182 ] simplifiying candidate # 32.903 * [simplify]: Simplifying (/ (- 1 k) 2) 32.903 * * [simplify]: iters left: 4 (5 enodes) 32.908 * * [simplify]: iters left: 3 (23 enodes) 32.916 * * [simplify]: iters left: 2 (32 enodes) 32.926 * * [simplify]: Extracting #0: cost 1 inf + 0 32.926 * * [simplify]: Extracting #1: cost 6 inf + 0 32.926 * * [simplify]: Extracting #2: cost 9 inf + 2 32.926 * * [simplify]: Extracting #3: cost 6 inf + 87 32.927 * * [simplify]: Extracting #4: cost 0 inf + 420 32.927 * [simplify]: Simplified to (/ (- 1 k) 2) 32.927 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) 1) (/ (- 1 k) 2))) (sqrt k))) 32.927 * * * * [progress]: [ 70 / 182 ] simplifiying candidate # 32.927 * [simplify]: Simplifying (/ 1 2) 32.927 * * [simplify]: iters left: 2 (3 enodes) 32.930 * * [simplify]: iters left: 1 (12 enodes) 32.934 * * [simplify]: Extracting #0: cost 1 inf + 0 32.934 * * [simplify]: Extracting #1: cost 0 inf + 1 32.934 * [simplify]: Simplified to 1/2 32.934 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (- 1 k)) 1/2)) (sqrt k))) 32.935 * * * * [progress]: [ 71 / 182 ] simplifiying candidate # 32.935 * [simplify]: Simplifying (pow 2 (/ (- 1 k) 2)) 32.935 * * [simplify]: iters left: 5 (6 enodes) 32.939 * * [simplify]: iters left: 4 (29 enodes) 32.951 * * [simplify]: iters left: 3 (54 enodes) 32.964 * * [simplify]: iters left: 2 (85 enodes) 32.983 * * [simplify]: iters left: 1 (153 enodes) 33.024 * * [simplify]: Extracting #0: cost 1 inf + 0 33.024 * * [simplify]: Extracting #1: cost 13 inf + 0 33.024 * * [simplify]: Extracting #2: cost 51 inf + 2 33.024 * * [simplify]: Extracting #3: cost 84 inf + 5 33.025 * * [simplify]: Extracting #4: cost 54 inf + 3194 33.026 * * [simplify]: Extracting #5: cost 29 inf + 7327 33.028 * * [simplify]: Extracting #6: cost 12 inf + 15002 33.033 * * [simplify]: Extracting #7: cost 0 inf + 23100 33.040 * * [simplify]: Extracting #8: cost 0 inf + 22969 33.046 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 33.046 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 33.046 * * * * [progress]: [ 72 / 182 ] simplifiying candidate # 33.046 * * * * [progress]: [ 73 / 182 ] simplifiying candidate # 33.046 * * * * [progress]: [ 74 / 182 ] simplifiying candidate # 33.047 * * * * [progress]: [ 75 / 182 ] simplifiying candidate # 33.047 * * * * [progress]: [ 76 / 182 ] simplifiying candidate # 33.047 * * * * [progress]: [ 77 / 182 ] simplifiying candidate # 33.047 * * * * [progress]: [ 78 / 182 ] simplifiying candidate # 33.047 * * * * [progress]: [ 79 / 182 ] simplifiying candidate # 33.047 * * * * [progress]: [ 80 / 182 ] simplifiying candidate #real (real->posit16 (pow (* 2 PI) (/ (- 1 k) 2))))) (sqrt k)))> 33.047 * * * * [progress]: [ 81 / 182 ] simplifiying candidate # 33.047 * * * * [progress]: [ 82 / 182 ] simplifiying candidate # 33.047 * * * * [progress]: [ 83 / 182 ] simplifiying candidate # 33.047 * [simplify]: Simplifying (* n (* 2 PI)) 33.047 * * [simplify]: iters left: 4 (5 enodes) 33.050 * * [simplify]: iters left: 3 (19 enodes) 33.057 * * [simplify]: iters left: 2 (27 enodes) 33.065 * * [simplify]: iters left: 1 (32 enodes) 33.073 * * [simplify]: Extracting #0: cost 1 inf + 0 33.073 * * [simplify]: Extracting #1: cost 8 inf + 0 33.074 * * [simplify]: Extracting #2: cost 7 inf + 45 33.074 * * [simplify]: Extracting #3: cost 0 inf + 421 33.074 * [simplify]: Simplified to (* (* PI 2) n) 33.074 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 33.074 * [simplify]: Simplifying (/ (- 1 k) 2) 33.075 * * [simplify]: iters left: 4 (5 enodes) 33.078 * * [simplify]: iters left: 3 (23 enodes) 33.086 * * [simplify]: iters left: 2 (32 enodes) 33.095 * * [simplify]: Extracting #0: cost 1 inf + 0 33.096 * * [simplify]: Extracting #1: cost 6 inf + 0 33.096 * * [simplify]: Extracting #2: cost 9 inf + 2 33.096 * * [simplify]: Extracting #3: cost 6 inf + 87 33.099 * * [simplify]: Extracting #4: cost 0 inf + 420 33.100 * [simplify]: Simplified to (/ (- 1 k) 2) 33.100 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 33.100 * * * * [progress]: [ 84 / 182 ] simplifiying candidate # 33.100 * * * * [progress]: [ 85 / 182 ] simplifiying candidate # 33.100 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 33.100 * * [simplify]: iters left: 6 (14 enodes) 33.109 * * [simplify]: iters left: 5 (61 enodes) 33.132 * * [simplify]: iters left: 4 (115 enodes) 33.176 * * [simplify]: iters left: 3 (233 enodes) 33.287 * * [simplify]: Extracting #0: cost 1 inf + 0 33.288 * * [simplify]: Extracting #1: cost 30 inf + 0 33.288 * * [simplify]: Extracting #2: cost 96 inf + 1 33.289 * * [simplify]: Extracting #3: cost 115 inf + 1439 33.297 * * [simplify]: Extracting #4: cost 46 inf + 18668 33.310 * * [simplify]: Extracting #5: cost 0 inf + 30168 33.323 * * [simplify]: Extracting #6: cost 0 inf + 30167 33.336 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) 33.336 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n)))) (sqrt k))) 33.336 * * * * [progress]: [ 86 / 182 ] simplifiying candidate # 33.337 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) 33.337 * * [simplify]: iters left: 6 (13 enodes) 33.345 * * [simplify]: iters left: 5 (61 enodes) 33.366 * * [simplify]: iters left: 4 (116 enodes) 33.410 * * [simplify]: iters left: 3 (218 enodes) 33.477 * * [simplify]: Extracting #0: cost 1 inf + 0 33.477 * * [simplify]: Extracting #1: cost 27 inf + 0 33.477 * * [simplify]: Extracting #2: cost 94 inf + 1 33.478 * * [simplify]: Extracting #3: cost 113 inf + 1233 33.479 * * [simplify]: Extracting #4: cost 86 inf + 6639 33.486 * * [simplify]: Extracting #5: cost 32 inf + 18410 33.492 * * [simplify]: Extracting #6: cost 1 inf + 26017 33.498 * * [simplify]: Extracting #7: cost 0 inf + 26196 33.505 * [simplify]: Simplified to (/ (* (- 1 k) (+ (log n) (log (* PI 2)))) 2) 33.505 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (log n) (log (* PI 2)))) 2)) (sqrt k))) 33.505 * * * * [progress]: [ 87 / 182 ] simplifiying candidate # 33.505 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) 33.505 * * [simplify]: iters left: 6 (13 enodes) 33.509 * * [simplify]: iters left: 5 (61 enodes) 33.525 * * [simplify]: iters left: 4 (116 enodes) 33.568 * * [simplify]: iters left: 3 (218 enodes) 33.634 * * [simplify]: Extracting #0: cost 1 inf + 0 33.634 * * [simplify]: Extracting #1: cost 27 inf + 0 33.634 * * [simplify]: Extracting #2: cost 94 inf + 1 33.635 * * [simplify]: Extracting #3: cost 113 inf + 1233 33.636 * * [simplify]: Extracting #4: cost 86 inf + 6639 33.640 * * [simplify]: Extracting #5: cost 32 inf + 18410 33.649 * * [simplify]: Extracting #6: cost 1 inf + 26017 33.661 * * [simplify]: Extracting #7: cost 0 inf + 26196 33.673 * [simplify]: Simplified to (/ (* (- 1 k) (+ (log n) (log (* PI 2)))) 2) 33.673 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (log n) (log (* PI 2)))) 2)) (sqrt k))) 33.673 * * * * [progress]: [ 88 / 182 ] simplifiying candidate # 33.673 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 33.673 * * [simplify]: iters left: 6 (13 enodes) 33.681 * * [simplify]: iters left: 5 (58 enodes) 33.705 * * [simplify]: iters left: 4 (112 enodes) 33.733 * * [simplify]: iters left: 3 (217 enodes) 33.796 * * [simplify]: Extracting #0: cost 1 inf + 0 33.796 * * [simplify]: Extracting #1: cost 30 inf + 0 33.796 * * [simplify]: Extracting #2: cost 107 inf + 1 33.798 * * [simplify]: Extracting #3: cost 141 inf + 939 33.805 * * [simplify]: Extracting #4: cost 99 inf + 8584 33.813 * * [simplify]: Extracting #5: cost 32 inf + 23766 33.820 * * [simplify]: Extracting #6: cost 1 inf + 34087 33.827 * * [simplify]: Extracting #7: cost 0 inf + 34488 33.834 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) 33.834 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2)))))) (sqrt k))) 33.834 * * * * [progress]: [ 89 / 182 ] simplifiying candidate # 33.834 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 33.834 * * [simplify]: iters left: 6 (14 enodes) 33.839 * * [simplify]: iters left: 5 (61 enodes) 33.850 * * [simplify]: iters left: 4 (115 enodes) 33.871 * * [simplify]: iters left: 3 (233 enodes) 33.932 * * [simplify]: Extracting #0: cost 1 inf + 0 33.932 * * [simplify]: Extracting #1: cost 30 inf + 0 33.933 * * [simplify]: Extracting #2: cost 96 inf + 1 33.934 * * [simplify]: Extracting #3: cost 115 inf + 1439 33.942 * * [simplify]: Extracting #4: cost 46 inf + 18668 33.951 * * [simplify]: Extracting #5: cost 0 inf + 30168 33.957 * * [simplify]: Extracting #6: cost 0 inf + 30167 33.967 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) 33.967 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n)))) (sqrt k))) 33.967 * * * * [progress]: [ 90 / 182 ] simplifiying candidate # 33.967 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) 33.967 * * [simplify]: iters left: 6 (13 enodes) 33.971 * * [simplify]: iters left: 5 (61 enodes) 33.989 * * [simplify]: iters left: 4 (116 enodes) 34.031 * * [simplify]: iters left: 3 (218 enodes) 34.111 * * [simplify]: Extracting #0: cost 1 inf + 0 34.111 * * [simplify]: Extracting #1: cost 27 inf + 0 34.111 * * [simplify]: Extracting #2: cost 94 inf + 1 34.112 * * [simplify]: Extracting #3: cost 113 inf + 1233 34.113 * * [simplify]: Extracting #4: cost 86 inf + 6639 34.118 * * [simplify]: Extracting #5: cost 32 inf + 18410 34.130 * * [simplify]: Extracting #6: cost 1 inf + 26017 34.142 * * [simplify]: Extracting #7: cost 0 inf + 26196 34.152 * [simplify]: Simplified to (/ (* (- 1 k) (+ (log n) (log (* PI 2)))) 2) 34.153 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (log n) (log (* PI 2)))) 2)) (sqrt k))) 34.153 * * * * [progress]: [ 91 / 182 ] simplifiying candidate # 34.153 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) 34.153 * * [simplify]: iters left: 6 (13 enodes) 34.157 * * [simplify]: iters left: 5 (61 enodes) 34.168 * * [simplify]: iters left: 4 (116 enodes) 34.207 * * [simplify]: iters left: 3 (218 enodes) 34.270 * * [simplify]: Extracting #0: cost 1 inf + 0 34.270 * * [simplify]: Extracting #1: cost 27 inf + 0 34.271 * * [simplify]: Extracting #2: cost 94 inf + 1 34.272 * * [simplify]: Extracting #3: cost 113 inf + 1233 34.275 * * [simplify]: Extracting #4: cost 86 inf + 6639 34.282 * * [simplify]: Extracting #5: cost 32 inf + 18410 34.293 * * [simplify]: Extracting #6: cost 1 inf + 26017 34.309 * * [simplify]: Extracting #7: cost 0 inf + 26196 34.321 * [simplify]: Simplified to (/ (* (- 1 k) (+ (log n) (log (* PI 2)))) 2) 34.322 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (log n) (log (* PI 2)))) 2)) (sqrt k))) 34.322 * * * * [progress]: [ 92 / 182 ] simplifiying candidate # 34.322 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 34.322 * * [simplify]: iters left: 6 (13 enodes) 34.330 * * [simplify]: iters left: 5 (58 enodes) 34.349 * * [simplify]: iters left: 4 (112 enodes) 34.388 * * [simplify]: iters left: 3 (217 enodes) 34.482 * * [simplify]: Extracting #0: cost 1 inf + 0 34.483 * * [simplify]: Extracting #1: cost 30 inf + 0 34.483 * * [simplify]: Extracting #2: cost 107 inf + 1 34.484 * * [simplify]: Extracting #3: cost 141 inf + 939 34.488 * * [simplify]: Extracting #4: cost 99 inf + 8584 34.496 * * [simplify]: Extracting #5: cost 32 inf + 23766 34.506 * * [simplify]: Extracting #6: cost 1 inf + 34087 34.513 * * [simplify]: Extracting #7: cost 0 inf + 34488 34.519 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) 34.520 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2)))))) (sqrt k))) 34.520 * * * * [progress]: [ 93 / 182 ] simplifiying candidate # 34.520 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 34.520 * * [simplify]: iters left: 6 (14 enodes) 34.524 * * [simplify]: iters left: 5 (60 enodes) 34.535 * * [simplify]: iters left: 4 (119 enodes) 34.562 * * [simplify]: iters left: 3 (260 enodes) 34.623 * * [simplify]: Extracting #0: cost 1 inf + 0 34.623 * * [simplify]: Extracting #1: cost 28 inf + 0 34.624 * * [simplify]: Extracting #2: cost 104 inf + 72 34.624 * * [simplify]: Extracting #3: cost 127 inf + 2977 34.628 * * [simplify]: Extracting #4: cost 69 inf + 19106 34.635 * * [simplify]: Extracting #5: cost 14 inf + 31629 34.642 * * [simplify]: Extracting #6: cost 2 inf + 35998 34.650 * * [simplify]: Extracting #7: cost 0 inf + 37209 34.658 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) 34.658 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2)))) (sqrt k))) 34.658 * * * * [progress]: [ 94 / 182 ] simplifiying candidate # 34.658 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 34.658 * * [simplify]: iters left: 6 (13 enodes) 34.666 * * [simplify]: iters left: 5 (60 enodes) 34.687 * * [simplify]: iters left: 4 (118 enodes) 34.731 * * [simplify]: iters left: 3 (252 enodes) 34.821 * * [simplify]: Extracting #0: cost 1 inf + 0 34.821 * * [simplify]: Extracting #1: cost 27 inf + 0 34.822 * * [simplify]: Extracting #2: cost 104 inf + 72 34.823 * * [simplify]: Extracting #3: cost 131 inf + 3127 34.828 * * [simplify]: Extracting #4: cost 95 inf + 12228 34.837 * * [simplify]: Extracting #5: cost 42 inf + 22872 34.854 * * [simplify]: Extracting #6: cost 1 inf + 35419 34.868 * * [simplify]: Extracting #7: cost 0 inf + 35339 34.882 * * [simplify]: Extracting #8: cost 0 inf + 35219 34.897 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) 34.897 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n)))) (sqrt k))) 34.897 * * * * [progress]: [ 95 / 182 ] simplifiying candidate # 34.897 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 34.898 * * [simplify]: iters left: 6 (13 enodes) 34.906 * * [simplify]: iters left: 5 (60 enodes) 34.928 * * [simplify]: iters left: 4 (118 enodes) 34.971 * * [simplify]: iters left: 3 (252 enodes) 35.068 * * [simplify]: Extracting #0: cost 1 inf + 0 35.068 * * [simplify]: Extracting #1: cost 27 inf + 0 35.069 * * [simplify]: Extracting #2: cost 104 inf + 72 35.071 * * [simplify]: Extracting #3: cost 131 inf + 3127 35.075 * * [simplify]: Extracting #4: cost 95 inf + 12228 35.084 * * [simplify]: Extracting #5: cost 42 inf + 22872 35.097 * * [simplify]: Extracting #6: cost 1 inf + 35419 35.112 * * [simplify]: Extracting #7: cost 0 inf + 35339 35.130 * * [simplify]: Extracting #8: cost 0 inf + 35219 35.139 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) 35.140 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n)))) (sqrt k))) 35.140 * * * * [progress]: [ 96 / 182 ] simplifiying candidate # 35.140 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 35.140 * * [simplify]: iters left: 6 (13 enodes) 35.144 * * [simplify]: iters left: 5 (58 enodes) 35.155 * * [simplify]: iters left: 4 (108 enodes) 35.183 * * [simplify]: iters left: 3 (223 enodes) 35.280 * * [simplify]: Extracting #0: cost 1 inf + 0 35.280 * * [simplify]: Extracting #1: cost 34 inf + 0 35.281 * * [simplify]: Extracting #2: cost 126 inf + 1 35.281 * * [simplify]: Extracting #3: cost 172 inf + 1456 35.284 * * [simplify]: Extracting #4: cost 106 inf + 17959 35.291 * * [simplify]: Extracting #5: cost 39 inf + 36577 35.299 * * [simplify]: Extracting #6: cost 1 inf + 48628 35.314 * * [simplify]: Extracting #7: cost 0 inf + 48844 35.332 * [simplify]: Simplified to (* (+ (log (* 2 PI)) (log n)) (- 1/2 (/ k 2))) 35.332 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* 2 PI)) (log n)) (- 1/2 (/ k 2)))) (sqrt k))) 35.332 * * * * [progress]: [ 97 / 182 ] simplifiying candidate # 35.332 * * * * [progress]: [ 98 / 182 ] simplifiying candidate # 35.332 * * * * [progress]: [ 99 / 182 ] simplifiying candidate # 35.332 * [simplify]: Simplifying (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) 35.333 * * [simplify]: iters left: 6 (15 enodes) 35.341 * * [simplify]: iters left: 5 (69 enodes) 35.365 * * [simplify]: iters left: 4 (162 enodes) 35.453 * * [simplify]: Extracting #0: cost 1 inf + 0 35.453 * * [simplify]: Extracting #1: cost 34 inf + 0 35.454 * * [simplify]: Extracting #2: cost 134 inf + 0 35.455 * * [simplify]: Extracting #3: cost 155 inf + 2 35.455 * * [simplify]: Extracting #4: cost 156 inf + 9 35.457 * * [simplify]: Extracting #5: cost 134 inf + 4214 35.468 * * [simplify]: Extracting #6: cost 42 inf + 56840 35.479 * * [simplify]: Extracting #7: cost 0 inf + 91593 35.491 * * [simplify]: Extracting #8: cost 0 inf + 89925 35.512 * * [simplify]: Extracting #9: cost 0 inf + 89885 35.528 * [simplify]: Simplified to (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 35.528 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))) (sqrt k))) 35.528 * * * * [progress]: [ 100 / 182 ] simplifiying candidate # 35.529 * * * * [progress]: [ 101 / 182 ] simplifiying candidate # 35.529 * * * * [progress]: [ 102 / 182 ] simplifiying candidate # 35.529 * * * * [progress]: [ 103 / 182 ] simplifiying candidate # 35.529 * [simplify]: Simplifying (* (pow n (/ 1 2)) (pow (* 2 PI) (/ 1 2))) 35.529 * * [simplify]: iters left: 5 (9 enodes) 35.532 * * [simplify]: iters left: 4 (38 enodes) 35.543 * * [simplify]: iters left: 3 (85 enodes) 35.577 * * [simplify]: iters left: 2 (202 enodes) 35.636 * * [simplify]: iters left: 1 (476 enodes) 36.050 * * [simplify]: Extracting #0: cost 1 inf + 0 36.050 * * [simplify]: Extracting #1: cost 67 inf + 0 36.051 * * [simplify]: Extracting #2: cost 338 inf + 0 36.053 * * [simplify]: Extracting #3: cost 342 inf + 513 36.055 * * [simplify]: Extracting #4: cost 303 inf + 16153 36.068 * * [simplify]: Extracting #5: cost 97 inf + 159384 36.101 * * [simplify]: Extracting #6: cost 0 inf + 235613 36.145 * * [simplify]: Extracting #7: cost 0 inf + 235351 36.168 * [simplify]: Simplified to (* (sqrt (* 2 PI)) (sqrt n)) 36.168 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt (* 2 PI)) (sqrt n)) (* (pow n (/ k 2)) (pow (* 2 PI) (/ k 2)))) (sqrt k))) 36.169 * [simplify]: Simplifying (* (pow n (/ k 2)) (pow (* 2 PI) (/ k 2))) 36.169 * * [simplify]: iters left: 5 (9 enodes) 36.171 * * [simplify]: iters left: 4 (34 enodes) 36.178 * * [simplify]: iters left: 3 (63 enodes) 36.190 * * [simplify]: iters left: 2 (151 enodes) 36.286 * * [simplify]: Extracting #0: cost 1 inf + 0 36.286 * * [simplify]: Extracting #1: cost 27 inf + 0 36.286 * * [simplify]: Extracting #2: cost 109 inf + 0 36.287 * * [simplify]: Extracting #3: cost 130 inf + 2 36.288 * * [simplify]: Extracting #4: cost 115 inf + 2063 36.294 * * [simplify]: Extracting #5: cost 54 inf + 29327 36.302 * * [simplify]: Extracting #6: cost 3 inf + 62281 36.309 * * [simplify]: Extracting #7: cost 0 inf + 64615 36.319 * [simplify]: Simplified to (* (pow (* 2 PI) (/ k 2)) (pow n (/ k 2))) 36.319 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (sqrt (* 2 PI)) (sqrt n)) (* (pow (* 2 PI) (/ k 2)) (pow n (/ k 2)))) (sqrt k))) 36.319 * * * * [progress]: [ 104 / 182 ] simplifiying candidate # 36.319 * * * * [progress]: [ 105 / 182 ] simplifiying candidate # 36.319 * [simplify]: Simplifying (* (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 36.319 * * [simplify]: iters left: 6 (13 enodes) 36.323 * * [simplify]: iters left: 5 (54 enodes) 36.332 * * [simplify]: iters left: 4 (89 enodes) 36.347 * * [simplify]: iters left: 3 (143 enodes) 36.395 * * [simplify]: iters left: 2 (274 enodes) 36.466 * * [simplify]: Extracting #0: cost 1 inf + 0 36.466 * * [simplify]: Extracting #1: cost 31 inf + 0 36.467 * * [simplify]: Extracting #2: cost 98 inf + 0 36.467 * * [simplify]: Extracting #3: cost 149 inf + 2 36.469 * * [simplify]: Extracting #4: cost 171 inf + 93 36.471 * * [simplify]: Extracting #5: cost 145 inf + 4754 36.476 * * [simplify]: Extracting #6: cost 76 inf + 29158 36.486 * * [simplify]: Extracting #7: cost 11 inf + 79145 36.500 * * [simplify]: Extracting #8: cost 0 inf + 87137 36.511 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) 36.512 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) (* (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (sqrt k))) 36.512 * [simplify]: Simplifying (* (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 36.512 * * [simplify]: iters left: 6 (13 enodes) 36.516 * * [simplify]: iters left: 5 (54 enodes) 36.526 * * [simplify]: iters left: 4 (89 enodes) 36.542 * * [simplify]: iters left: 3 (143 enodes) 36.572 * * [simplify]: iters left: 2 (274 enodes) 36.686 * * [simplify]: Extracting #0: cost 1 inf + 0 36.686 * * [simplify]: Extracting #1: cost 31 inf + 0 36.687 * * [simplify]: Extracting #2: cost 98 inf + 0 36.687 * * [simplify]: Extracting #3: cost 149 inf + 2 36.688 * * [simplify]: Extracting #4: cost 171 inf + 93 36.690 * * [simplify]: Extracting #5: cost 145 inf + 4754 36.698 * * [simplify]: Extracting #6: cost 76 inf + 29158 36.713 * * [simplify]: Extracting #7: cost 11 inf + 79145 36.724 * * [simplify]: Extracting #8: cost 0 inf + 87137 36.741 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) 36.741 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2)))) (sqrt k))) 36.741 * * * * [progress]: [ 106 / 182 ] simplifiying candidate # 36.742 * [simplify]: Simplifying (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 36.742 * * [simplify]: iters left: 6 (13 enodes) 36.750 * * [simplify]: iters left: 5 (57 enodes) 36.765 * * [simplify]: iters left: 4 (103 enodes) 36.786 * * [simplify]: iters left: 3 (214 enodes) 36.877 * * [simplify]: Extracting #0: cost 1 inf + 0 36.877 * * [simplify]: Extracting #1: cost 36 inf + 0 36.878 * * [simplify]: Extracting #2: cost 118 inf + 0 36.878 * * [simplify]: Extracting #3: cost 155 inf + 1 36.879 * * [simplify]: Extracting #4: cost 151 inf + 136 36.879 * * [simplify]: Extracting #5: cost 139 inf + 1801 36.882 * * [simplify]: Extracting #6: cost 81 inf + 20372 36.890 * * [simplify]: Extracting #7: cost 7 inf + 72544 36.914 * * [simplify]: Extracting #8: cost 0 inf + 78002 36.934 * * [simplify]: Extracting #9: cost 0 inf + 77485 36.954 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2))) 36.954 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2))) (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 36.955 * [simplify]: Simplifying (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 36.955 * * [simplify]: iters left: 6 (13 enodes) 36.962 * * [simplify]: iters left: 5 (57 enodes) 36.982 * * [simplify]: iters left: 4 (103 enodes) 37.021 * * [simplify]: iters left: 3 (214 enodes) 37.123 * * [simplify]: Extracting #0: cost 1 inf + 0 37.123 * * [simplify]: Extracting #1: cost 36 inf + 0 37.123 * * [simplify]: Extracting #2: cost 118 inf + 0 37.124 * * [simplify]: Extracting #3: cost 155 inf + 1 37.124 * * [simplify]: Extracting #4: cost 151 inf + 136 37.125 * * [simplify]: Extracting #5: cost 139 inf + 1801 37.128 * * [simplify]: Extracting #6: cost 81 inf + 20372 37.137 * * [simplify]: Extracting #7: cost 7 inf + 72544 37.161 * * [simplify]: Extracting #8: cost 0 inf + 78002 37.181 * * [simplify]: Extracting #9: cost 0 inf + 77485 37.202 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2))) 37.202 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2)))) (sqrt k))) 37.202 * * * * [progress]: [ 107 / 182 ] simplifiying candidate # 37.202 * [simplify]: Simplifying (* (sqrt (pow n (/ (- 1 k) 2))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 37.202 * * [simplify]: iters left: 6 (13 enodes) 37.209 * * [simplify]: iters left: 5 (54 enodes) 37.227 * * [simplify]: iters left: 4 (86 enodes) 37.241 * * [simplify]: iters left: 3 (128 enodes) 37.270 * * [simplify]: iters left: 2 (222 enodes) 37.332 * * [simplify]: iters left: 1 (448 enodes) 37.535 * * [simplify]: Extracting #0: cost 1 inf + 0 37.535 * * [simplify]: Extracting #1: cost 4 inf + 0 37.535 * * [simplify]: Extracting #2: cost 10 inf + 0 37.535 * * [simplify]: Extracting #3: cost 57 inf + 0 37.536 * * [simplify]: Extracting #4: cost 176 inf + 2 37.537 * * [simplify]: Extracting #5: cost 205 inf + 52 37.538 * * [simplify]: Extracting #6: cost 178 inf + 4672 37.545 * * [simplify]: Extracting #7: cost 54 inf + 63502 37.571 * * [simplify]: Extracting #8: cost 3 inf + 98057 37.595 * * [simplify]: Extracting #9: cost 0 inf + 99031 37.611 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (pow n (/ (- 1 k) 4)))) 37.611 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (pow n (/ (- 1 k) 4)))) (* (sqrt (pow n (/ (- 1 k) 2))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (sqrt k))) 37.612 * [simplify]: Simplifying (* (sqrt (pow n (/ (- 1 k) 2))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 37.612 * * [simplify]: iters left: 6 (13 enodes) 37.616 * * [simplify]: iters left: 5 (54 enodes) 37.625 * * [simplify]: iters left: 4 (86 enodes) 37.650 * * [simplify]: iters left: 3 (128 enodes) 37.685 * * [simplify]: iters left: 2 (222 enodes) 37.746 * * [simplify]: iters left: 1 (448 enodes) 37.934 * * [simplify]: Extracting #0: cost 1 inf + 0 37.934 * * [simplify]: Extracting #1: cost 4 inf + 0 37.934 * * [simplify]: Extracting #2: cost 10 inf + 0 37.934 * * [simplify]: Extracting #3: cost 57 inf + 0 37.934 * * [simplify]: Extracting #4: cost 176 inf + 2 37.935 * * [simplify]: Extracting #5: cost 205 inf + 52 37.937 * * [simplify]: Extracting #6: cost 178 inf + 4672 37.944 * * [simplify]: Extracting #7: cost 54 inf + 63502 37.967 * * [simplify]: Extracting #8: cost 3 inf + 98057 37.990 * * [simplify]: Extracting #9: cost 0 inf + 99031 38.006 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (pow n (/ (- 1 k) 4)))) 38.007 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow n (/ (- 1 k) 2))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (pow n (/ (- 1 k) 4))))) (sqrt k))) 38.007 * * * * [progress]: [ 108 / 182 ] simplifiying candidate # 38.007 * [simplify]: Simplifying (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 38.007 * * [simplify]: iters left: 6 (13 enodes) 38.011 * * [simplify]: iters left: 5 (57 enodes) 38.021 * * [simplify]: iters left: 4 (96 enodes) 38.052 * * [simplify]: iters left: 3 (168 enodes) 38.100 * * [simplify]: iters left: 2 (329 enodes) 38.197 * * [simplify]: Extracting #0: cost 1 inf + 0 38.197 * * [simplify]: Extracting #1: cost 30 inf + 0 38.198 * * [simplify]: Extracting #2: cost 100 inf + 0 38.198 * * [simplify]: Extracting #3: cost 162 inf + 2 38.199 * * [simplify]: Extracting #4: cost 189 inf + 56 38.201 * * [simplify]: Extracting #5: cost 162 inf + 6681 38.211 * * [simplify]: Extracting #6: cost 38 inf + 64738 38.225 * * [simplify]: Extracting #7: cost 0 inf + 87717 38.239 * * [simplify]: Extracting #8: cost 0 inf + 85695 38.258 * * [simplify]: Extracting #9: cost 0 inf + 85302 38.272 * * [simplify]: Extracting #10: cost 0 inf + 85171 38.288 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (pow n (/ (- 1 k) 2)))) 38.288 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (pow n (/ (- 1 k) 2)))) (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 38.288 * [simplify]: Simplifying (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 38.288 * * [simplify]: iters left: 6 (13 enodes) 38.292 * * [simplify]: iters left: 5 (57 enodes) 38.308 * * [simplify]: iters left: 4 (96 enodes) 38.330 * * [simplify]: iters left: 3 (168 enodes) 38.362 * * [simplify]: iters left: 2 (329 enodes) 38.436 * * [simplify]: Extracting #0: cost 1 inf + 0 38.436 * * [simplify]: Extracting #1: cost 30 inf + 0 38.437 * * [simplify]: Extracting #2: cost 100 inf + 0 38.440 * * [simplify]: Extracting #3: cost 162 inf + 2 38.441 * * [simplify]: Extracting #4: cost 189 inf + 56 38.442 * * [simplify]: Extracting #5: cost 162 inf + 6681 38.451 * * [simplify]: Extracting #6: cost 38 inf + 64738 38.465 * * [simplify]: Extracting #7: cost 0 inf + 87717 38.479 * * [simplify]: Extracting #8: cost 0 inf + 85695 38.494 * * [simplify]: Extracting #9: cost 0 inf + 85302 38.508 * * [simplify]: Extracting #10: cost 0 inf + 85171 38.522 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (pow n (/ (- 1 k) 2)))) 38.522 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (pow n (/ (- 1 k) 2))))) (sqrt k))) 38.522 * * * * [progress]: [ 109 / 182 ] simplifiying candidate # 38.522 * [simplify]: Simplifying (* (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 38.522 * * [simplify]: iters left: 6 (13 enodes) 38.527 * * [simplify]: iters left: 5 (57 enodes) 38.539 * * [simplify]: iters left: 4 (96 enodes) 38.557 * * [simplify]: iters left: 3 (172 enodes) 38.604 * * [simplify]: iters left: 2 (356 enodes) 38.689 * * [simplify]: Extracting #0: cost 1 inf + 0 38.689 * * [simplify]: Extracting #1: cost 25 inf + 0 38.689 * * [simplify]: Extracting #2: cost 95 inf + 0 38.690 * * [simplify]: Extracting #3: cost 164 inf + 3 38.691 * * [simplify]: Extracting #4: cost 199 inf + 14 38.695 * * [simplify]: Extracting #5: cost 172 inf + 5524 38.700 * * [simplify]: Extracting #6: cost 71 inf + 36473 38.713 * * [simplify]: Extracting #7: cost 8 inf + 78817 38.736 * * [simplify]: Extracting #8: cost 0 inf + 84305 38.758 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (* 1/4 (- 1 k)))) 38.758 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (* 1/4 (- 1 k)))) (* (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (sqrt k))) 38.758 * [simplify]: Simplifying (* (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 38.759 * * [simplify]: iters left: 6 (13 enodes) 38.766 * * [simplify]: iters left: 5 (57 enodes) 38.781 * * [simplify]: iters left: 4 (96 enodes) 38.799 * * [simplify]: iters left: 3 (172 enodes) 38.848 * * [simplify]: iters left: 2 (356 enodes) 38.953 * * [simplify]: Extracting #0: cost 1 inf + 0 38.953 * * [simplify]: Extracting #1: cost 25 inf + 0 38.954 * * [simplify]: Extracting #2: cost 95 inf + 0 38.955 * * [simplify]: Extracting #3: cost 164 inf + 3 38.956 * * [simplify]: Extracting #4: cost 199 inf + 14 38.958 * * [simplify]: Extracting #5: cost 172 inf + 5524 38.967 * * [simplify]: Extracting #6: cost 71 inf + 36473 38.983 * * [simplify]: Extracting #7: cost 8 inf + 78817 39.003 * * [simplify]: Extracting #8: cost 0 inf + 84305 39.026 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (* 1/4 (- 1 k)))) 39.027 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (* 1/4 (- 1 k))))) (sqrt k))) 39.027 * * * * [progress]: [ 110 / 182 ] simplifiying candidate # 39.027 * [simplify]: Simplifying (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 39.027 * * [simplify]: iters left: 6 (12 enodes) 39.034 * * [simplify]: iters left: 5 (54 enodes) 39.051 * * [simplify]: iters left: 4 (96 enodes) 39.081 * * [simplify]: iters left: 3 (199 enodes) 39.153 * * [simplify]: Extracting #0: cost 1 inf + 0 39.153 * * [simplify]: Extracting #1: cost 36 inf + 0 39.153 * * [simplify]: Extracting #2: cost 117 inf + 0 39.154 * * [simplify]: Extracting #3: cost 148 inf + 2 39.154 * * [simplify]: Extracting #4: cost 152 inf + 53 39.155 * * [simplify]: Extracting #5: cost 137 inf + 1344 39.156 * * [simplify]: Extracting #6: cost 100 inf + 7948 39.162 * * [simplify]: Extracting #7: cost 35 inf + 49100 39.171 * * [simplify]: Extracting #8: cost 0 inf + 76548 39.182 * * [simplify]: Extracting #9: cost 0 inf + 76349 39.194 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) 39.195 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 39.195 * [simplify]: Simplifying (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 39.195 * * [simplify]: iters left: 6 (12 enodes) 39.199 * * [simplify]: iters left: 5 (54 enodes) 39.215 * * [simplify]: iters left: 4 (96 enodes) 39.239 * * [simplify]: iters left: 3 (199 enodes) 39.306 * * [simplify]: Extracting #0: cost 1 inf + 0 39.306 * * [simplify]: Extracting #1: cost 36 inf + 0 39.307 * * [simplify]: Extracting #2: cost 117 inf + 0 39.307 * * [simplify]: Extracting #3: cost 148 inf + 2 39.308 * * [simplify]: Extracting #4: cost 152 inf + 53 39.308 * * [simplify]: Extracting #5: cost 137 inf + 1344 39.310 * * [simplify]: Extracting #6: cost 100 inf + 7948 39.315 * * [simplify]: Extracting #7: cost 35 inf + 49100 39.325 * * [simplify]: Extracting #8: cost 0 inf + 76548 39.335 * * [simplify]: Extracting #9: cost 0 inf + 76349 39.348 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) 39.348 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k))) 39.348 * * * * [progress]: [ 111 / 182 ] simplifiying candidate # 39.348 * [simplify]: Simplifying (pow PI (/ (- 1 k) 2)) 39.348 * * [simplify]: iters left: 5 (7 enodes) 39.351 * * [simplify]: iters left: 4 (32 enodes) 39.358 * * [simplify]: iters left: 3 (57 enodes) 39.368 * * [simplify]: iters left: 2 (88 enodes) 39.384 * * [simplify]: iters left: 1 (156 enodes) 39.418 * * [simplify]: Extracting #0: cost 1 inf + 0 39.418 * * [simplify]: Extracting #1: cost 13 inf + 0 39.419 * * [simplify]: Extracting #2: cost 49 inf + 2 39.419 * * [simplify]: Extracting #3: cost 80 inf + 6 39.420 * * [simplify]: Extracting #4: cost 58 inf + 1840 39.422 * * [simplify]: Extracting #5: cost 22 inf + 9206 39.427 * * [simplify]: Extracting #6: cost 1 inf + 20886 39.430 * * [simplify]: Extracting #7: cost 0 inf + 21301 39.434 * * [simplify]: Extracting #8: cost 0 inf + 21130 39.437 * [simplify]: Simplified to (pow PI (/ (- 1 k) 2)) 39.437 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (sqrt k))) 39.437 * * * * [progress]: [ 112 / 182 ] simplifiying candidate # 39.437 * [simplify]: Simplifying (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) 39.437 * * [simplify]: iters left: 6 (9 enodes) 39.440 * * [simplify]: iters left: 5 (39 enodes) 39.447 * * [simplify]: iters left: 4 (60 enodes) 39.457 * * [simplify]: iters left: 3 (96 enodes) 39.478 * * [simplify]: iters left: 2 (184 enodes) 39.535 * * [simplify]: iters left: 1 (346 enodes) 39.656 * * [simplify]: Extracting #0: cost 1 inf + 0 39.656 * * [simplify]: Extracting #1: cost 3 inf + 0 39.656 * * [simplify]: Extracting #2: cost 28 inf + 0 39.657 * * [simplify]: Extracting #3: cost 98 inf + 1 39.657 * * [simplify]: Extracting #4: cost 153 inf + 92 39.658 * * [simplify]: Extracting #5: cost 150 inf + 433 39.661 * * [simplify]: Extracting #6: cost 75 inf + 12742 39.667 * * [simplify]: Extracting #7: cost 19 inf + 38728 39.677 * * [simplify]: Extracting #8: cost 0 inf + 55163 39.689 * [simplify]: Simplified to (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) 39.690 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 2)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt k))) 39.690 * * * * [progress]: [ 113 / 182 ] simplifiying candidate # 39.690 * [simplify]: Simplifying (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) 39.690 * * [simplify]: iters left: 6 (9 enodes) 39.693 * * [simplify]: iters left: 5 (39 enodes) 39.701 * * [simplify]: iters left: 4 (61 enodes) 39.712 * * [simplify]: iters left: 3 (97 enodes) 39.731 * * [simplify]: iters left: 2 (185 enodes) 39.780 * * [simplify]: iters left: 1 (345 enodes) 39.922 * * [simplify]: Extracting #0: cost 1 inf + 0 39.922 * * [simplify]: Extracting #1: cost 4 inf + 0 39.922 * * [simplify]: Extracting #2: cost 34 inf + 0 39.923 * * [simplify]: Extracting #3: cost 112 inf + 1 39.924 * * [simplify]: Extracting #4: cost 158 inf + 94 39.925 * * [simplify]: Extracting #5: cost 153 inf + 392 39.930 * * [simplify]: Extracting #6: cost 93 inf + 14968 39.945 * * [simplify]: Extracting #7: cost 20 inf + 40912 39.959 * * [simplify]: Extracting #8: cost 0 inf + 51477 39.979 * * [simplify]: Extracting #9: cost 0 inf + 51040 39.999 * [simplify]: Simplified to (fabs (pow (* 2 PI) (- 1/4 (/ k 4)))) 39.999 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (pow (* 2 PI) (- 1/4 (/ k 4))))) (sqrt k))) 39.999 * * * * [progress]: [ 114 / 182 ] simplifiying candidate # 39.999 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 39.999 * * [simplify]: iters left: 5 (8 enodes) 40.002 * * [simplify]: iters left: 4 (36 enodes) 40.009 * * [simplify]: iters left: 3 (57 enodes) 40.026 * * [simplify]: iters left: 2 (90 enodes) 40.055 * * [simplify]: iters left: 1 (176 enodes) 40.098 * * [simplify]: Extracting #0: cost 1 inf + 0 40.098 * * [simplify]: Extracting #1: cost 13 inf + 0 40.100 * * [simplify]: Extracting #2: cost 55 inf + 1 40.101 * * [simplify]: Extracting #3: cost 86 inf + 6 40.101 * * [simplify]: Extracting #4: cost 73 inf + 1511 40.103 * * [simplify]: Extracting #5: cost 26 inf + 9176 40.106 * * [simplify]: Extracting #6: cost 2 inf + 22574 40.109 * * [simplify]: Extracting #7: cost 0 inf + 23644 40.113 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 40.113 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 2)) 1) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 40.113 * * * * [progress]: [ 115 / 182 ] simplifiying candidate # 40.114 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 40.114 * * [simplify]: iters left: 6 (9 enodes) 40.117 * * [simplify]: iters left: 5 (42 enodes) 40.125 * * [simplify]: iters left: 4 (70 enodes) 40.139 * * [simplify]: iters left: 3 (117 enodes) 40.184 * * [simplify]: iters left: 2 (232 enodes) 40.257 * * [simplify]: iters left: 1 (454 enodes) 40.494 * * [simplify]: Extracting #0: cost 1 inf + 0 40.494 * * [simplify]: Extracting #1: cost 25 inf + 0 40.495 * * [simplify]: Extracting #2: cost 104 inf + 1 40.496 * * [simplify]: Extracting #3: cost 174 inf + 94 40.499 * * [simplify]: Extracting #4: cost 157 inf + 2461 40.510 * * [simplify]: Extracting #5: cost 65 inf + 14842 40.519 * * [simplify]: Extracting #6: cost 25 inf + 35839 40.528 * * [simplify]: Extracting #7: cost 2 inf + 54310 40.538 * * [simplify]: Extracting #8: cost 0 inf + 55922 40.550 * * [simplify]: Extracting #9: cost 0 inf + 55540 40.563 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 40.563 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt k))) 40.563 * * * * [progress]: [ 116 / 182 ] simplifiying candidate # 40.563 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 40.563 * * [simplify]: iters left: 5 (9 enodes) 40.566 * * [simplify]: iters left: 4 (38 enodes) 40.579 * * [simplify]: iters left: 3 (63 enodes) 40.597 * * [simplify]: iters left: 2 (98 enodes) 40.630 * * [simplify]: iters left: 1 (167 enodes) 40.664 * * [simplify]: Extracting #0: cost 1 inf + 0 40.664 * * [simplify]: Extracting #1: cost 13 inf + 0 40.664 * * [simplify]: Extracting #2: cost 54 inf + 1 40.665 * * [simplify]: Extracting #3: cost 87 inf + 5 40.666 * * [simplify]: Extracting #4: cost 68 inf + 1334 40.668 * * [simplify]: Extracting #5: cost 40 inf + 5047 40.672 * * [simplify]: Extracting #6: cost 11 inf + 17686 40.678 * * [simplify]: Extracting #7: cost 0 inf + 25802 40.684 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 40.685 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (pow (cbrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt k))) 40.685 * * * * [progress]: [ 117 / 182 ] simplifiying candidate # 40.685 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 40.685 * * [simplify]: iters left: 5 (8 enodes) 40.690 * * [simplify]: iters left: 4 (35 enodes) 40.701 * * [simplify]: iters left: 3 (56 enodes) 40.717 * * [simplify]: iters left: 2 (89 enodes) 40.751 * * [simplify]: iters left: 1 (175 enodes) 40.789 * * [simplify]: Extracting #0: cost 1 inf + 0 40.790 * * [simplify]: Extracting #1: cost 13 inf + 0 40.790 * * [simplify]: Extracting #2: cost 53 inf + 1 40.790 * * [simplify]: Extracting #3: cost 83 inf + 47 40.791 * * [simplify]: Extracting #4: cost 60 inf + 2914 40.793 * * [simplify]: Extracting #5: cost 14 inf + 15118 40.798 * * [simplify]: Extracting #6: cost 1 inf + 21571 40.803 * * [simplify]: Extracting #7: cost 0 inf + 21783 40.809 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 40.809 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt n) (/ (- 1 k) 2)) (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt k))) 40.810 * * * * [progress]: [ 118 / 182 ] simplifiying candidate # 40.810 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 40.810 * * [simplify]: iters left: 5 (6 enodes) 40.814 * * [simplify]: iters left: 4 (24 enodes) 40.821 * * [simplify]: iters left: 3 (33 enodes) 40.832 * * [simplify]: Extracting #0: cost 1 inf + 0 40.832 * * [simplify]: Extracting #1: cost 0 inf + 1 40.832 * [simplify]: Simplified to 1 40.832 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt k))) 40.833 * * * * [progress]: [ 119 / 182 ] simplifiying candidate # 40.833 * [simplify]: Simplifying (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 40.833 * * [simplify]: iters left: 6 (9 enodes) 40.838 * * [simplify]: iters left: 5 (38 enodes) 40.846 * * [simplify]: iters left: 4 (63 enodes) 40.860 * * [simplify]: iters left: 3 (98 enodes) 40.890 * * [simplify]: iters left: 2 (167 enodes) 40.944 * * [simplify]: iters left: 1 (317 enodes) 41.066 * * [simplify]: Extracting #0: cost 1 inf + 0 41.066 * * [simplify]: Extracting #1: cost 3 inf + 0 41.066 * * [simplify]: Extracting #2: cost 5 inf + 0 41.066 * * [simplify]: Extracting #3: cost 30 inf + 0 41.066 * * [simplify]: Extracting #4: cost 100 inf + 2 41.067 * * [simplify]: Extracting #5: cost 139 inf + 8 41.068 * * [simplify]: Extracting #6: cost 126 inf + 1468 41.073 * * [simplify]: Extracting #7: cost 64 inf + 13749 41.086 * * [simplify]: Extracting #8: cost 4 inf + 52469 41.101 * * [simplify]: Extracting #9: cost 0 inf + 54607 41.116 * [simplify]: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 41.116 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt k))) 41.117 * * * * [progress]: [ 120 / 182 ] simplifiying candidate # 41.117 * [simplify]: Simplifying (sqrt (pow n (/ (- 1 k) 2))) 41.117 * * [simplify]: iters left: 6 (8 enodes) 41.121 * * [simplify]: iters left: 5 (35 enodes) 41.130 * * [simplify]: iters left: 4 (57 enodes) 41.140 * * [simplify]: iters left: 3 (90 enodes) 41.164 * * [simplify]: iters left: 2 (176 enodes) 41.217 * * [simplify]: iters left: 1 (339 enodes) 41.319 * * [simplify]: Extracting #0: cost 1 inf + 0 41.319 * * [simplify]: Extracting #1: cost 4 inf + 0 41.319 * * [simplify]: Extracting #2: cost 32 inf + 0 41.320 * * [simplify]: Extracting #3: cost 108 inf + 2 41.322 * * [simplify]: Extracting #4: cost 136 inf + 9 41.323 * * [simplify]: Extracting #5: cost 134 inf + 182 41.325 * * [simplify]: Extracting #6: cost 71 inf + 9517 41.329 * * [simplify]: Extracting #7: cost 38 inf + 21671 41.337 * * [simplify]: Extracting #8: cost 9 inf + 43354 41.351 * * [simplify]: Extracting #9: cost 0 inf + 50508 41.363 * * [simplify]: Extracting #10: cost 0 inf + 50376 41.373 * [simplify]: Simplified to (sqrt (pow n (/ (- 1 k) 2))) 41.373 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow n (/ (- 1 k) 2))) (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt k))) 41.373 * * * * [progress]: [ 121 / 182 ] simplifiying candidate # 41.373 * * * * [progress]: [ 122 / 182 ] simplifiying candidate # 41.373 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 41.373 * * [simplify]: iters left: 6 (8 enodes) 41.378 * * [simplify]: iters left: 5 (38 enodes) 41.391 * * [simplify]: iters left: 4 (66 enodes) 41.411 * * [simplify]: iters left: 3 (110 enodes) 41.435 * * [simplify]: iters left: 2 (200 enodes) 41.479 * * [simplify]: iters left: 1 (403 enodes) 41.654 * * [simplify]: Extracting #0: cost 1 inf + 0 41.654 * * [simplify]: Extracting #1: cost 26 inf + 0 41.654 * * [simplify]: Extracting #2: cost 100 inf + 2 41.655 * * [simplify]: Extracting #3: cost 164 inf + 10 41.655 * * [simplify]: Extracting #4: cost 163 inf + 641 41.658 * * [simplify]: Extracting #5: cost 72 inf + 12998 41.665 * * [simplify]: Extracting #6: cost 25 inf + 35040 41.673 * * [simplify]: Extracting #7: cost 0 inf + 54806 41.689 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 41.689 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/4 (/ k 4))) (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt k))) 41.689 * * * * [progress]: [ 123 / 182 ] simplifiying candidate # 41.690 * [simplify]: Simplifying (pow (* 2 PI) (/ k 2)) 41.690 * * [simplify]: iters left: 3 (6 enodes) 41.693 * * [simplify]: iters left: 2 (22 enodes) 41.700 * * [simplify]: iters left: 1 (34 enodes) 41.705 * * [simplify]: Extracting #0: cost 1 inf + 0 41.705 * * [simplify]: Extracting #1: cost 10 inf + 0 41.705 * * [simplify]: Extracting #2: cost 26 inf + 0 41.705 * * [simplify]: Extracting #3: cost 23 inf + 128 41.709 * * [simplify]: Extracting #4: cost 10 inf + 1713 41.709 * * [simplify]: Extracting #5: cost 0 inf + 4919 41.710 * [simplify]: Simplified to (pow (* 2 PI) (/ k 2)) 41.710 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (sqrt k))) 41.710 * * * * [progress]: [ 124 / 182 ] simplifiying candidate # 41.710 * [simplify]: Simplifying (* (pow n (/ 1 2)) (pow (* 2 PI) (/ (- 1 k) 2))) 41.710 * * [simplify]: iters left: 6 (12 enodes) 41.715 * * [simplify]: iters left: 5 (52 enodes) 41.726 * * [simplify]: iters left: 4 (104 enodes) 41.751 * * [simplify]: iters left: 3 (217 enodes) 41.846 * * [simplify]: Extracting #0: cost 1 inf + 0 41.846 * * [simplify]: Extracting #1: cost 33 inf + 0 41.847 * * [simplify]: Extracting #2: cost 113 inf + 0 41.848 * * [simplify]: Extracting #3: cost 129 inf + 471 41.849 * * [simplify]: Extracting #4: cost 118 inf + 3894 41.850 * * [simplify]: Extracting #5: cost 113 inf + 5077 41.852 * * [simplify]: Extracting #6: cost 90 inf + 8575 41.861 * * [simplify]: Extracting #7: cost 21 inf + 46705 41.875 * * [simplify]: Extracting #8: cost 0 inf + 61367 41.889 * [simplify]: Simplified to (* (sqrt n) (pow (* 2 PI) (- 1/2 (/ k 2)))) 41.889 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt n) (pow (* 2 PI) (- 1/2 (/ k 2)))) (pow n (/ k 2))) (sqrt k))) 41.890 * * * * [progress]: [ 125 / 182 ] simplifiying candidate #real (real->posit16 (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))))) (sqrt k)))> 41.890 * * * * [progress]: [ 126 / 182 ] simplifiying candidate # 41.890 * * * * [progress]: [ 127 / 182 ] simplifiying candidate # 41.890 * * * * [progress]: [ 128 / 182 ] simplifiying candidate # 41.890 * * * * [progress]: [ 129 / 182 ] simplifiying candidate # 41.890 * * * * [progress]: [ 130 / 182 ] simplifiying candidate # 41.890 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) (log (sqrt k))) 41.890 * * [simplify]: iters left: 6 (17 enodes) 41.900 * * [simplify]: iters left: 5 (74 enodes) 41.916 * * [simplify]: iters left: 4 (145 enodes) 41.951 * * [simplify]: iters left: 3 (303 enodes) 42.064 * * [simplify]: Extracting #0: cost 1 inf + 0 42.064 * * [simplify]: Extracting #1: cost 31 inf + 0 42.065 * * [simplify]: Extracting #2: cost 104 inf + 0 42.066 * * [simplify]: Extracting #3: cost 141 inf + 755 42.072 * * [simplify]: Extracting #4: cost 75 inf + 17895 42.088 * * [simplify]: Extracting #5: cost 4 inf + 38311 42.107 * * [simplify]: Extracting #6: cost 0 inf + 39654 42.125 * * [simplify]: Extracting #7: cost 0 inf + 39652 42.144 * [simplify]: Simplified to (- (* (+ (log 2) (+ (log n) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 42.144 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log 2) (+ (log n) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))))) 42.144 * * * * [progress]: [ 131 / 182 ] simplifiying candidate # 42.145 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 42.145 * * [simplify]: iters left: 6 (16 enodes) 42.159 * * [simplify]: iters left: 5 (74 enodes) 42.172 * * [simplify]: iters left: 4 (146 enodes) 42.210 * * [simplify]: iters left: 3 (276 enodes) 42.317 * * [simplify]: Extracting #0: cost 1 inf + 0 42.317 * * [simplify]: Extracting #1: cost 30 inf + 0 42.318 * * [simplify]: Extracting #2: cost 101 inf + 0 42.319 * * [simplify]: Extracting #3: cost 138 inf + 979 42.320 * * [simplify]: Extracting #4: cost 113 inf + 7126 42.325 * * [simplify]: Extracting #5: cost 43 inf + 24517 42.332 * * [simplify]: Extracting #6: cost 6 inf + 33934 42.341 * * [simplify]: Extracting #7: cost 0 inf + 35960 42.352 * * [simplify]: Extracting #8: cost 0 inf + 35903 42.373 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) (log (sqrt k))) 42.374 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) (log (sqrt k))))) 42.374 * * * * [progress]: [ 132 / 182 ] simplifiying candidate # 42.374 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 42.374 * * [simplify]: iters left: 6 (16 enodes) 42.383 * * [simplify]: iters left: 5 (74 enodes) 42.410 * * [simplify]: iters left: 4 (146 enodes) 42.457 * * [simplify]: iters left: 3 (276 enodes) 42.559 * * [simplify]: Extracting #0: cost 1 inf + 0 42.559 * * [simplify]: Extracting #1: cost 30 inf + 0 42.560 * * [simplify]: Extracting #2: cost 101 inf + 0 42.561 * * [simplify]: Extracting #3: cost 138 inf + 979 42.563 * * [simplify]: Extracting #4: cost 113 inf + 7126 42.568 * * [simplify]: Extracting #5: cost 43 inf + 24517 42.577 * * [simplify]: Extracting #6: cost 6 inf + 33934 42.585 * * [simplify]: Extracting #7: cost 0 inf + 35960 42.597 * * [simplify]: Extracting #8: cost 0 inf + 35903 42.614 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) (log (sqrt k))) 42.614 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) (log (sqrt k))))) 42.614 * * * * [progress]: [ 133 / 182 ] simplifiying candidate # 42.615 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (log (pow (* 2 PI) (/ (- 1 k) 2)))) (log (sqrt k))) 42.615 * * [simplify]: iters left: 6 (16 enodes) 42.624 * * [simplify]: iters left: 5 (71 enodes) 42.638 * * [simplify]: iters left: 4 (136 enodes) 42.665 * * [simplify]: iters left: 3 (266 enodes) 42.749 * * [simplify]: Extracting #0: cost 1 inf + 0 42.749 * * [simplify]: Extracting #1: cost 32 inf + 0 42.750 * * [simplify]: Extracting #2: cost 139 inf + 0 42.752 * * [simplify]: Extracting #3: cost 181 inf + 1046 42.755 * * [simplify]: Extracting #4: cost 129 inf + 9861 42.765 * * [simplify]: Extracting #5: cost 40 inf + 33220 42.775 * * [simplify]: Extracting #6: cost 4 inf + 46827 42.791 * * [simplify]: Extracting #7: cost 0 inf + 48751 42.801 * * [simplify]: Extracting #8: cost 0 inf + 48591 42.811 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) (log (sqrt k))) 42.812 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) (log (sqrt k))))) 42.812 * * * * [progress]: [ 134 / 182 ] simplifiying candidate # 42.812 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) (log (sqrt k))) 42.812 * * [simplify]: iters left: 6 (17 enodes) 42.818 * * [simplify]: iters left: 5 (74 enodes) 42.841 * * [simplify]: iters left: 4 (145 enodes) 42.895 * * [simplify]: iters left: 3 (303 enodes) 43.008 * * [simplify]: Extracting #0: cost 1 inf + 0 43.009 * * [simplify]: Extracting #1: cost 31 inf + 0 43.009 * * [simplify]: Extracting #2: cost 104 inf + 0 43.009 * * [simplify]: Extracting #3: cost 141 inf + 755 43.013 * * [simplify]: Extracting #4: cost 75 inf + 17895 43.022 * * [simplify]: Extracting #5: cost 4 inf + 38311 43.041 * * [simplify]: Extracting #6: cost 0 inf + 39654 43.057 * * [simplify]: Extracting #7: cost 0 inf + 39652 43.075 * [simplify]: Simplified to (- (* (+ (log 2) (+ (log n) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 43.075 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log 2) (+ (log n) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))))) 43.076 * * * * [progress]: [ 135 / 182 ] simplifiying candidate # 43.076 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 43.076 * * [simplify]: iters left: 6 (16 enodes) 43.084 * * [simplify]: iters left: 5 (74 enodes) 43.109 * * [simplify]: iters left: 4 (146 enodes) 43.141 * * [simplify]: iters left: 3 (276 enodes) 43.229 * * [simplify]: Extracting #0: cost 1 inf + 0 43.229 * * [simplify]: Extracting #1: cost 30 inf + 0 43.229 * * [simplify]: Extracting #2: cost 101 inf + 0 43.230 * * [simplify]: Extracting #3: cost 138 inf + 979 43.231 * * [simplify]: Extracting #4: cost 113 inf + 7126 43.236 * * [simplify]: Extracting #5: cost 43 inf + 24517 43.243 * * [simplify]: Extracting #6: cost 6 inf + 33934 43.253 * * [simplify]: Extracting #7: cost 0 inf + 35960 43.269 * * [simplify]: Extracting #8: cost 0 inf + 35903 43.281 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) (log (sqrt k))) 43.281 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) (log (sqrt k))))) 43.281 * * * * [progress]: [ 136 / 182 ] simplifiying candidate # 43.281 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 43.281 * * [simplify]: iters left: 6 (16 enodes) 43.286 * * [simplify]: iters left: 5 (74 enodes) 43.302 * * [simplify]: iters left: 4 (146 enodes) 43.340 * * [simplify]: iters left: 3 (276 enodes) 43.467 * * [simplify]: Extracting #0: cost 1 inf + 0 43.467 * * [simplify]: Extracting #1: cost 30 inf + 0 43.468 * * [simplify]: Extracting #2: cost 101 inf + 0 43.469 * * [simplify]: Extracting #3: cost 138 inf + 979 43.472 * * [simplify]: Extracting #4: cost 113 inf + 7126 43.482 * * [simplify]: Extracting #5: cost 43 inf + 24517 43.496 * * [simplify]: Extracting #6: cost 6 inf + 33934 43.513 * * [simplify]: Extracting #7: cost 0 inf + 35960 43.530 * * [simplify]: Extracting #8: cost 0 inf + 35903 43.543 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) (log (sqrt k))) 43.543 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) (log (sqrt k))))) 43.543 * * * * [progress]: [ 137 / 182 ] simplifiying candidate # 43.543 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (log (pow (* 2 PI) (/ (- 1 k) 2)))) (log (sqrt k))) 43.543 * * [simplify]: iters left: 6 (16 enodes) 43.548 * * [simplify]: iters left: 5 (71 enodes) 43.563 * * [simplify]: iters left: 4 (136 enodes) 43.589 * * [simplify]: iters left: 3 (266 enodes) 43.697 * * [simplify]: Extracting #0: cost 1 inf + 0 43.697 * * [simplify]: Extracting #1: cost 32 inf + 0 43.697 * * [simplify]: Extracting #2: cost 139 inf + 0 43.698 * * [simplify]: Extracting #3: cost 181 inf + 1046 43.700 * * [simplify]: Extracting #4: cost 129 inf + 9861 43.706 * * [simplify]: Extracting #5: cost 40 inf + 33220 43.716 * * [simplify]: Extracting #6: cost 4 inf + 46827 43.735 * * [simplify]: Extracting #7: cost 0 inf + 48751 43.745 * * [simplify]: Extracting #8: cost 0 inf + 48591 43.760 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) (log (sqrt k))) 43.760 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) (log (sqrt k))))) 43.760 * * * * [progress]: [ 138 / 182 ] simplifiying candidate # 43.760 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) (log (sqrt k))) 43.760 * * [simplify]: iters left: 6 (17 enodes) 43.765 * * [simplify]: iters left: 5 (73 enodes) 43.784 * * [simplify]: iters left: 4 (143 enodes) 43.842 * * [simplify]: iters left: 3 (335 enodes) 43.985 * * [simplify]: Extracting #0: cost 1 inf + 0 43.985 * * [simplify]: Extracting #1: cost 42 inf + 0 43.991 * * [simplify]: Extracting #2: cost 149 inf + 0 43.993 * * [simplify]: Extracting #3: cost 180 inf + 2176 43.999 * * [simplify]: Extracting #4: cost 123 inf + 16993 44.016 * * [simplify]: Extracting #5: cost 33 inf + 43592 44.040 * * [simplify]: Extracting #6: cost 2 inf + 56838 44.065 * * [simplify]: Extracting #7: cost 0 inf + 57346 44.089 * * [simplify]: Extracting #8: cost 0 inf + 57306 44.109 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (log n) (+ (log PI) (log 2))))) (log (sqrt k))) 44.109 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (log n) (+ (log PI) (log 2))))) (log (sqrt k))))) 44.109 * * * * [progress]: [ 139 / 182 ] simplifiying candidate # 44.109 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (* (log (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 44.109 * * [simplify]: iters left: 6 (16 enodes) 44.114 * * [simplify]: iters left: 5 (73 enodes) 44.130 * * [simplify]: iters left: 4 (150 enodes) 44.187 * * [simplify]: iters left: 3 (317 enodes) 44.314 * * [simplify]: Extracting #0: cost 1 inf + 0 44.315 * * [simplify]: Extracting #1: cost 38 inf + 0 44.315 * * [simplify]: Extracting #2: cost 141 inf + 0 44.316 * * [simplify]: Extracting #3: cost 177 inf + 1632 44.318 * * [simplify]: Extracting #4: cost 140 inf + 10130 44.326 * * [simplify]: Extracting #5: cost 42 inf + 34331 44.337 * * [simplify]: Extracting #6: cost 5 inf + 49292 44.354 * * [simplify]: Extracting #7: cost 0 inf + 51474 44.376 * [simplify]: Simplified to (- (/ (* (+ (log n) (log (* 2 PI))) (- 1 k)) 2) (log (sqrt k))) 44.376 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (+ (log n) (log (* 2 PI))) (- 1 k)) 2) (log (sqrt k))))) 44.376 * * * * [progress]: [ 140 / 182 ] simplifiying candidate # 44.376 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (* (log (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 44.376 * * [simplify]: iters left: 6 (16 enodes) 44.381 * * [simplify]: iters left: 5 (73 enodes) 44.395 * * [simplify]: iters left: 4 (150 enodes) 44.426 * * [simplify]: iters left: 3 (317 enodes) 44.515 * * [simplify]: Extracting #0: cost 1 inf + 0 44.515 * * [simplify]: Extracting #1: cost 38 inf + 0 44.516 * * [simplify]: Extracting #2: cost 141 inf + 0 44.518 * * [simplify]: Extracting #3: cost 177 inf + 1632 44.522 * * [simplify]: Extracting #4: cost 140 inf + 10130 44.541 * * [simplify]: Extracting #5: cost 42 inf + 34331 44.554 * * [simplify]: Extracting #6: cost 5 inf + 49292 44.566 * * [simplify]: Extracting #7: cost 0 inf + 51474 44.577 * [simplify]: Simplified to (- (/ (* (+ (log n) (log (* 2 PI))) (- 1 k)) 2) (log (sqrt k))) 44.577 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (+ (log n) (log (* 2 PI))) (- 1 k)) 2) (log (sqrt k))))) 44.577 * * * * [progress]: [ 141 / 182 ] simplifiying candidate # 44.577 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (log (pow (* 2 PI) (/ (- 1 k) 2)))) (log (sqrt k))) 44.577 * * [simplify]: iters left: 6 (16 enodes) 44.582 * * [simplify]: iters left: 5 (71 enodes) 44.595 * * [simplify]: iters left: 4 (135 enodes) 44.621 * * [simplify]: iters left: 3 (286 enodes) 44.705 * * [simplify]: Extracting #0: cost 1 inf + 0 44.706 * * [simplify]: Extracting #1: cost 37 inf + 0 44.706 * * [simplify]: Extracting #2: cost 166 inf + 0 44.708 * * [simplify]: Extracting #3: cost 229 inf + 411 44.712 * * [simplify]: Extracting #4: cost 182 inf + 10454 44.729 * * [simplify]: Extracting #5: cost 50 inf + 51162 44.755 * * [simplify]: Extracting #6: cost 4 inf + 67682 44.780 * * [simplify]: Extracting #7: cost 0 inf + 69475 44.806 * * [simplify]: Extracting #8: cost 0 inf + 68830 44.833 * [simplify]: Simplified to (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))) 44.833 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))))) 44.833 * * * * [progress]: [ 142 / 182 ] simplifiying candidate # 44.833 * [simplify]: Simplifying (- (log (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (log (sqrt k))) 44.834 * * [simplify]: iters left: 6 (15 enodes) 44.838 * * [simplify]: iters left: 5 (65 enodes) 44.853 * * [simplify]: iters left: 4 (123 enodes) 44.888 * * [simplify]: iters left: 3 (281 enodes) 45.052 * * [simplify]: Extracting #0: cost 1 inf + 0 45.052 * * [simplify]: Extracting #1: cost 32 inf + 0 45.053 * * [simplify]: Extracting #2: cost 132 inf + 0 45.054 * * [simplify]: Extracting #3: cost 199 inf + 371 45.063 * * [simplify]: Extracting #4: cost 205 inf + 10111 45.082 * * [simplify]: Extracting #5: cost 76 inf + 64418 45.115 * * [simplify]: Extracting #6: cost 3 inf + 112594 45.145 * * [simplify]: Extracting #7: cost 0 inf + 113515 45.168 * [simplify]: Simplified to (- (/ (* (- 1 k) (+ (log (* PI 2)) (log n))) 2) (log (sqrt k))) 45.168 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (+ (log (* PI 2)) (log n))) 2) (log (sqrt k))))) 45.168 * * * * [progress]: [ 143 / 182 ] simplifiying candidate # 45.168 * * * * [progress]: [ 144 / 182 ] simplifiying candidate # 45.168 * * * * [progress]: [ 145 / 182 ] simplifiying candidate # 45.169 * [simplify]: Simplifying (/ (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 45.169 * * [simplify]: iters left: 6 (19 enodes) 45.180 * * [simplify]: iters left: 5 (87 enodes) 45.205 * * [simplify]: iters left: 4 (256 enodes) 45.371 * * [simplify]: Extracting #0: cost 1 inf + 0 45.372 * * [simplify]: Extracting #1: cost 119 inf + 0 45.373 * * [simplify]: Extracting #2: cost 322 inf + 1 45.374 * * [simplify]: Extracting #3: cost 376 inf + 125 45.381 * * [simplify]: Extracting #4: cost 269 inf + 51609 45.415 * * [simplify]: Extracting #5: cost 43 inf + 209263 45.466 * * [simplify]: Extracting #6: cost 1 inf + 236045 45.508 * * [simplify]: Extracting #7: cost 0 inf + 236109 45.555 * * [simplify]: Extracting #8: cost 0 inf + 235992 45.625 * [simplify]: Simplified to (/ (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) (* (sqrt k) k)) 45.625 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) (* (sqrt k) k)))) 45.625 * * * * [progress]: [ 146 / 182 ] simplifiying candidate # 45.626 * [simplify]: Simplifying (/ (* (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 45.626 * * [simplify]: iters left: 6 (17 enodes) 45.637 * * [simplify]: iters left: 5 (82 enodes) 45.659 * * [simplify]: iters left: 4 (254 enodes) 45.908 * * [simplify]: Extracting #0: cost 1 inf + 0 45.909 * * [simplify]: Extracting #1: cost 155 inf + 0 45.911 * * [simplify]: Extracting #2: cost 435 inf + 1 45.916 * * [simplify]: Extracting #3: cost 490 inf + 166 45.920 * * [simplify]: Extracting #4: cost 487 inf + 337 45.939 * * [simplify]: Extracting #5: cost 343 inf + 82751 46.005 * * [simplify]: Extracting #6: cost 143 inf + 227500 46.071 * * [simplify]: Extracting #7: cost 4 inf + 350162 46.133 * * [simplify]: Extracting #8: cost 0 inf + 348392 46.223 * * [simplify]: Extracting #9: cost 0 inf + 346234 46.300 * * [simplify]: Extracting #10: cost 0 inf + 345812 46.398 * [simplify]: Simplified to (/ (/ (* (* (pow (* PI 2) (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (* (pow (* PI 2) (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (pow (* PI 2) (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))) k) (sqrt k)) 46.398 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (* (pow (* PI 2) (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (* (pow (* PI 2) (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (pow (* PI 2) (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))) k) (sqrt k)))) 46.398 * * * * [progress]: [ 147 / 182 ] simplifiying candidate # 46.398 * * * * [progress]: [ 148 / 182 ] simplifiying candidate # 46.398 * * * * [progress]: [ 149 / 182 ] simplifiying candidate # 46.398 * * * * [progress]: [ 150 / 182 ] simplifiying candidate # 46.398 * * * * [progress]: [ 151 / 182 ] simplifiying candidate # 46.398 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 46.399 * * [simplify]: iters left: 6 (11 enodes) 46.402 * * [simplify]: iters left: 5 (46 enodes) 46.411 * * [simplify]: iters left: 4 (79 enodes) 46.432 * * [simplify]: iters left: 3 (135 enodes) 46.464 * * [simplify]: iters left: 2 (270 enodes) 46.589 * * [simplify]: Extracting #0: cost 1 inf + 0 46.589 * * [simplify]: Extracting #1: cost 56 inf + 0 46.590 * * [simplify]: Extracting #2: cost 151 inf + 0 46.591 * * [simplify]: Extracting #3: cost 211 inf + 3 46.594 * * [simplify]: Extracting #4: cost 182 inf + 8248 46.604 * * [simplify]: Extracting #5: cost 108 inf + 32321 46.617 * * [simplify]: Extracting #6: cost 40 inf + 73343 46.631 * * [simplify]: Extracting #7: cost 0 inf + 103841 46.651 * * [simplify]: Extracting #8: cost 0 inf + 103639 46.665 * * [simplify]: Extracting #9: cost 0 inf + 103517 46.683 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 46.683 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 46.684 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 46.684 * * [simplify]: iters left: 6 (11 enodes) 46.691 * * [simplify]: iters left: 5 (45 enodes) 46.706 * * [simplify]: iters left: 4 (68 enodes) 46.720 * * [simplify]: iters left: 3 (110 enodes) 46.751 * * [simplify]: iters left: 2 (217 enodes) 46.838 * * [simplify]: iters left: 1 (458 enodes) 47.374 * * [simplify]: Extracting #0: cost 1 inf + 0 47.374 * * [simplify]: Extracting #1: cost 45 inf + 0 47.375 * * [simplify]: Extracting #2: cost 132 inf + 0 47.375 * * [simplify]: Extracting #3: cost 212 inf + 3 47.377 * * [simplify]: Extracting #4: cost 213 inf + 801 47.380 * * [simplify]: Extracting #5: cost 140 inf + 15314 47.393 * * [simplify]: Extracting #6: cost 26 inf + 94405 47.410 * * [simplify]: Extracting #7: cost 0 inf + 113797 47.437 * * [simplify]: Extracting #8: cost 0 inf + 112990 47.461 * * [simplify]: Extracting #9: cost 0 inf + 111447 47.487 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 47.487 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 47.488 * * * * [progress]: [ 152 / 182 ] simplifiying candidate # 47.488 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 47.488 * * [simplify]: iters left: 6 (11 enodes) 47.491 * * [simplify]: iters left: 5 (45 enodes) 47.500 * * [simplify]: iters left: 4 (72 enodes) 47.514 * * [simplify]: iters left: 3 (113 enodes) 47.553 * * [simplify]: iters left: 2 (202 enodes) 47.600 * * [simplify]: iters left: 1 (423 enodes) 47.791 * * [simplify]: Extracting #0: cost 1 inf + 0 47.791 * * [simplify]: Extracting #1: cost 45 inf + 0 47.792 * * [simplify]: Extracting #2: cost 135 inf + 0 47.792 * * [simplify]: Extracting #3: cost 200 inf + 4 47.794 * * [simplify]: Extracting #4: cost 178 inf + 4357 47.799 * * [simplify]: Extracting #5: cost 104 inf + 31155 47.812 * * [simplify]: Extracting #6: cost 30 inf + 80538 47.843 * * [simplify]: Extracting #7: cost 0 inf + 106837 47.871 * * [simplify]: Extracting #8: cost 0 inf + 104726 47.899 * * [simplify]: Extracting #9: cost 0 inf + 104144 47.922 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 47.922 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 47.923 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 47.923 * * [simplify]: iters left: 6 (11 enodes) 47.926 * * [simplify]: iters left: 5 (45 enodes) 47.934 * * [simplify]: iters left: 4 (68 enodes) 47.947 * * [simplify]: iters left: 3 (110 enodes) 47.971 * * [simplify]: iters left: 2 (217 enodes) 48.041 * * [simplify]: iters left: 1 (458 enodes) 48.272 * * [simplify]: Extracting #0: cost 1 inf + 0 48.273 * * [simplify]: Extracting #1: cost 45 inf + 0 48.274 * * [simplify]: Extracting #2: cost 132 inf + 0 48.275 * * [simplify]: Extracting #3: cost 212 inf + 3 48.277 * * [simplify]: Extracting #4: cost 213 inf + 841 48.283 * * [simplify]: Extracting #5: cost 140 inf + 15394 48.314 * * [simplify]: Extracting #6: cost 26 inf + 94485 48.349 * * [simplify]: Extracting #7: cost 0 inf + 113877 48.383 * * [simplify]: Extracting #8: cost 0 inf + 113070 48.405 * * [simplify]: Extracting #9: cost 0 inf + 111527 48.427 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 48.427 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 48.427 * * * * [progress]: [ 153 / 182 ] simplifiying candidate # 48.428 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 48.428 * * [simplify]: iters left: 6 (10 enodes) 48.434 * * [simplify]: iters left: 5 (41 enodes) 48.450 * * [simplify]: iters left: 4 (68 enodes) 48.473 * * [simplify]: iters left: 3 (109 enodes) 48.511 * * [simplify]: iters left: 2 (194 enodes) 48.587 * * [simplify]: iters left: 1 (414 enodes) 48.787 * * [simplify]: Extracting #0: cost 1 inf + 0 48.787 * * [simplify]: Extracting #1: cost 45 inf + 0 48.788 * * [simplify]: Extracting #2: cost 141 inf + 0 48.789 * * [simplify]: Extracting #3: cost 206 inf + 4 48.792 * * [simplify]: Extracting #4: cost 180 inf + 9439 48.803 * * [simplify]: Extracting #5: cost 108 inf + 27286 48.827 * * [simplify]: Extracting #6: cost 36 inf + 72454 48.860 * * [simplify]: Extracting #7: cost 0 inf + 101831 48.891 * * [simplify]: Extracting #8: cost 0 inf + 101671 48.913 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 48.913 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 48.913 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 48.913 * * [simplify]: iters left: 6 (11 enodes) 48.917 * * [simplify]: iters left: 5 (45 enodes) 48.927 * * [simplify]: iters left: 4 (68 enodes) 48.938 * * [simplify]: iters left: 3 (110 enodes) 48.974 * * [simplify]: iters left: 2 (217 enodes) 49.034 * * [simplify]: iters left: 1 (458 enodes) 49.203 * * [simplify]: Extracting #0: cost 1 inf + 0 49.204 * * [simplify]: Extracting #1: cost 45 inf + 0 49.204 * * [simplify]: Extracting #2: cost 132 inf + 0 49.205 * * [simplify]: Extracting #3: cost 212 inf + 3 49.206 * * [simplify]: Extracting #4: cost 213 inf + 761 49.209 * * [simplify]: Extracting #5: cost 140 inf + 15034 49.222 * * [simplify]: Extracting #6: cost 26 inf + 92245 49.252 * * [simplify]: Extracting #7: cost 0 inf + 111037 49.284 * * [simplify]: Extracting #8: cost 0 inf + 110230 49.305 * * [simplify]: Extracting #9: cost 0 inf + 108687 49.330 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 49.330 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 49.331 * * * * [progress]: [ 154 / 182 ] simplifiying candidate # 49.331 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 49.331 * * [simplify]: iters left: 6 (9 enodes) 49.334 * * [simplify]: iters left: 5 (38 enodes) 49.342 * * [simplify]: iters left: 4 (63 enodes) 49.358 * * [simplify]: iters left: 3 (100 enodes) 49.392 * * [simplify]: iters left: 2 (175 enodes) 49.466 * * [simplify]: iters left: 1 (360 enodes) 49.667 * * [simplify]: Extracting #0: cost 1 inf + 0 49.667 * * [simplify]: Extracting #1: cost 52 inf + 0 49.668 * * [simplify]: Extracting #2: cost 150 inf + 3 49.669 * * [simplify]: Extracting #3: cost 190 inf + 8 49.672 * * [simplify]: Extracting #4: cost 161 inf + 3039 49.676 * * [simplify]: Extracting #5: cost 116 inf + 9850 49.687 * * [simplify]: Extracting #6: cost 35 inf + 60283 49.699 * * [simplify]: Extracting #7: cost 2 inf + 86206 49.713 * * [simplify]: Extracting #8: cost 0 inf + 87719 49.734 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 49.734 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 49.734 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 49.735 * * [simplify]: iters left: 6 (10 enodes) 49.740 * * [simplify]: iters left: 5 (42 enodes) 49.753 * * [simplify]: iters left: 4 (65 enodes) 49.773 * * [simplify]: iters left: 3 (104 enodes) 49.793 * * [simplify]: iters left: 2 (206 enodes) 49.870 * * [simplify]: iters left: 1 (435 enodes) 50.051 * * [simplify]: Extracting #0: cost 1 inf + 0 50.051 * * [simplify]: Extracting #1: cost 47 inf + 0 50.051 * * [simplify]: Extracting #2: cost 137 inf + 0 50.052 * * [simplify]: Extracting #3: cost 210 inf + 45 50.053 * * [simplify]: Extracting #4: cost 204 inf + 1134 50.056 * * [simplify]: Extracting #5: cost 148 inf + 9351 50.064 * * [simplify]: Extracting #6: cost 67 inf + 53607 50.079 * * [simplify]: Extracting #7: cost 1 inf + 112920 50.108 * * [simplify]: Extracting #8: cost 0 inf + 111430 50.127 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 50.127 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 50.127 * * * * [progress]: [ 155 / 182 ] simplifiying candidate # 50.127 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 50.127 * * [simplify]: iters left: 6 (10 enodes) 50.130 * * [simplify]: iters left: 5 (41 enodes) 50.139 * * [simplify]: iters left: 4 (68 enodes) 50.156 * * [simplify]: iters left: 3 (109 enodes) 50.193 * * [simplify]: iters left: 2 (194 enodes) 50.273 * * [simplify]: iters left: 1 (414 enodes) 50.498 * * [simplify]: Extracting #0: cost 1 inf + 0 50.498 * * [simplify]: Extracting #1: cost 45 inf + 0 50.499 * * [simplify]: Extracting #2: cost 141 inf + 0 50.500 * * [simplify]: Extracting #3: cost 206 inf + 4 50.508 * * [simplify]: Extracting #4: cost 180 inf + 9439 50.519 * * [simplify]: Extracting #5: cost 108 inf + 27286 50.542 * * [simplify]: Extracting #6: cost 36 inf + 72454 50.563 * * [simplify]: Extracting #7: cost 0 inf + 101831 50.580 * * [simplify]: Extracting #8: cost 0 inf + 101671 50.597 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 50.597 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 50.597 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 50.597 * * [simplify]: iters left: 6 (11 enodes) 50.601 * * [simplify]: iters left: 5 (45 enodes) 50.609 * * [simplify]: iters left: 4 (68 enodes) 50.633 * * [simplify]: iters left: 3 (110 enodes) 50.661 * * [simplify]: iters left: 2 (217 enodes) 50.732 * * [simplify]: iters left: 1 (458 enodes) 50.945 * * [simplify]: Extracting #0: cost 1 inf + 0 50.946 * * [simplify]: Extracting #1: cost 45 inf + 0 50.946 * * [simplify]: Extracting #2: cost 132 inf + 0 50.947 * * [simplify]: Extracting #3: cost 212 inf + 3 50.948 * * [simplify]: Extracting #4: cost 213 inf + 761 50.951 * * [simplify]: Extracting #5: cost 140 inf + 15034 50.965 * * [simplify]: Extracting #6: cost 26 inf + 92245 50.982 * * [simplify]: Extracting #7: cost 0 inf + 111037 51.002 * * [simplify]: Extracting #8: cost 0 inf + 110230 51.035 * * [simplify]: Extracting #9: cost 0 inf + 108687 51.070 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 51.070 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 51.070 * * * * [progress]: [ 156 / 182 ] simplifiying candidate # 51.070 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 51.071 * * [simplify]: iters left: 6 (8 enodes) 51.074 * * [simplify]: iters left: 5 (33 enodes) 51.080 * * [simplify]: iters left: 4 (56 enodes) 51.091 * * [simplify]: iters left: 3 (98 enodes) 51.127 * * [simplify]: iters left: 2 (203 enodes) 51.214 * * [simplify]: iters left: 1 (443 enodes) 51.466 * * [simplify]: Extracting #0: cost 1 inf + 0 51.466 * * [simplify]: Extracting #1: cost 47 inf + 0 51.467 * * [simplify]: Extracting #2: cost 155 inf + 3 51.468 * * [simplify]: Extracting #3: cost 207 inf + 8 51.469 * * [simplify]: Extracting #4: cost 189 inf + 2296 51.472 * * [simplify]: Extracting #5: cost 112 inf + 20090 51.494 * * [simplify]: Extracting #6: cost 19 inf + 81064 51.516 * * [simplify]: Extracting #7: cost 0 inf + 94833 51.534 * * [simplify]: Extracting #8: cost 0 inf + 93433 51.553 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 51.553 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 51.553 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 51.553 * * [simplify]: iters left: 6 (10 enodes) 51.556 * * [simplify]: iters left: 5 (42 enodes) 51.566 * * [simplify]: iters left: 4 (65 enodes) 51.580 * * [simplify]: iters left: 3 (104 enodes) 51.620 * * [simplify]: iters left: 2 (206 enodes) 51.694 * * [simplify]: iters left: 1 (435 enodes) 51.846 * * [simplify]: Extracting #0: cost 1 inf + 0 51.846 * * [simplify]: Extracting #1: cost 47 inf + 0 51.847 * * [simplify]: Extracting #2: cost 137 inf + 0 51.848 * * [simplify]: Extracting #3: cost 210 inf + 45 51.850 * * [simplify]: Extracting #4: cost 204 inf + 1134 51.855 * * [simplify]: Extracting #5: cost 148 inf + 9351 51.869 * * [simplify]: Extracting #6: cost 67 inf + 53607 51.899 * * [simplify]: Extracting #7: cost 1 inf + 112920 51.927 * * [simplify]: Extracting #8: cost 0 inf + 111430 51.944 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 51.944 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 51.944 * * * * [progress]: [ 157 / 182 ] simplifiying candidate # 51.944 * * * * [progress]: [ 158 / 182 ] simplifiying candidate # 51.944 * * * * [progress]: [ 159 / 182 ] simplifiying candidate # 51.944 * * * * [progress]: [ 160 / 182 ] simplifiying candidate # 51.944 * [simplify]: Simplifying (cbrt (sqrt k)) 51.944 * * [simplify]: iters left: 2 (3 enodes) 51.945 * * [simplify]: iters left: 1 (9 enodes) 51.946 * * [simplify]: Extracting #0: cost 1 inf + 0 51.946 * * [simplify]: Extracting #1: cost 3 inf + 0 51.946 * * [simplify]: Extracting #2: cost 5 inf + 0 51.946 * * [simplify]: Extracting #3: cost 4 inf + 1 51.946 * * [simplify]: Extracting #4: cost 0 inf + 325 51.947 * [simplify]: Simplified to (cbrt (sqrt k)) 51.947 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 51.947 * * * * [progress]: [ 161 / 182 ] simplifiying candidate # 51.947 * [simplify]: Simplifying (sqrt (cbrt k)) 51.947 * * [simplify]: iters left: 2 (3 enodes) 51.948 * * [simplify]: iters left: 1 (9 enodes) 51.949 * * [simplify]: Extracting #0: cost 1 inf + 0 51.949 * * [simplify]: Extracting #1: cost 3 inf + 0 51.949 * * [simplify]: Extracting #2: cost 5 inf + 0 51.949 * * [simplify]: Extracting #3: cost 4 inf + 1 51.949 * * [simplify]: Extracting #4: cost 0 inf + 405 51.949 * [simplify]: Simplified to (sqrt (cbrt k)) 51.949 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 51.949 * * * * [progress]: [ 162 / 182 ] simplifiying candidate # 51.949 * [simplify]: Simplifying (sqrt (sqrt k)) 51.949 * * [simplify]: iters left: 2 (3 enodes) 51.950 * * [simplify]: iters left: 1 (9 enodes) 51.951 * * [simplify]: Extracting #0: cost 1 inf + 0 51.951 * * [simplify]: Extracting #1: cost 3 inf + 0 51.951 * * [simplify]: Extracting #2: cost 5 inf + 0 51.951 * * [simplify]: Extracting #3: cost 4 inf + 1 51.951 * * [simplify]: Extracting #4: cost 0 inf + 245 51.952 * [simplify]: Simplified to (sqrt (sqrt k)) 51.952 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 51.952 * * * * [progress]: [ 163 / 182 ] simplifiying candidate # 51.952 * [simplify]: Simplifying (sqrt k) 51.952 * * [simplify]: iters left: 1 (2 enodes) 51.952 * * [simplify]: Extracting #0: cost 1 inf + 0 51.952 * * [simplify]: Extracting #1: cost 3 inf + 0 51.952 * * [simplify]: Extracting #2: cost 2 inf + 1 51.952 * * [simplify]: Extracting #3: cost 0 inf + 83 51.952 * [simplify]: Simplified to (sqrt k) 51.952 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt 1)) (sqrt k))) 51.953 * * * * [progress]: [ 164 / 182 ] simplifiying candidate # 51.953 * [simplify]: Simplifying (sqrt (sqrt k)) 51.953 * * [simplify]: iters left: 2 (3 enodes) 51.953 * * [simplify]: iters left: 1 (9 enodes) 51.955 * * [simplify]: Extracting #0: cost 1 inf + 0 51.955 * * [simplify]: Extracting #1: cost 3 inf + 0 51.955 * * [simplify]: Extracting #2: cost 5 inf + 0 51.955 * * [simplify]: Extracting #3: cost 4 inf + 1 51.956 * * [simplify]: Extracting #4: cost 0 inf + 245 51.956 * [simplify]: Simplified to (sqrt (sqrt k)) 51.956 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 51.956 * * * * [progress]: [ 165 / 182 ] simplifiying candidate # 51.956 * [simplify]: Simplifying (sqrt k) 51.956 * * [simplify]: iters left: 1 (2 enodes) 51.957 * * [simplify]: Extracting #0: cost 1 inf + 0 51.957 * * [simplify]: Extracting #1: cost 3 inf + 0 51.957 * * [simplify]: Extracting #2: cost 2 inf + 1 51.957 * * [simplify]: Extracting #3: cost 0 inf + 83 51.957 * [simplify]: Simplified to (sqrt k) 51.957 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) 1) (sqrt k))) 51.958 * * * * [progress]: [ 166 / 182 ] simplifiying candidate # 51.958 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 51.958 * * [simplify]: iters left: 5 (7 enodes) 51.963 * * [simplify]: iters left: 4 (32 enodes) 51.978 * * [simplify]: iters left: 3 (57 enodes) 51.997 * * [simplify]: iters left: 2 (88 enodes) 52.018 * * [simplify]: iters left: 1 (156 enodes) 52.060 * * [simplify]: Extracting #0: cost 1 inf + 0 52.060 * * [simplify]: Extracting #1: cost 13 inf + 0 52.060 * * [simplify]: Extracting #2: cost 49 inf + 2 52.060 * * [simplify]: Extracting #3: cost 80 inf + 6 52.061 * * [simplify]: Extracting #4: cost 58 inf + 1840 52.063 * * [simplify]: Extracting #5: cost 22 inf + 9206 52.066 * * [simplify]: Extracting #6: cost 1 inf + 20886 52.069 * * [simplify]: Extracting #7: cost 0 inf + 21301 52.074 * * [simplify]: Extracting #8: cost 0 inf + 21130 52.078 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 52.078 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 52.078 * * * * [progress]: [ 167 / 182 ] simplifiying candidate # 52.078 * [simplify]: Simplifying (* (pow n (/ 1 2)) (pow (* 2 PI) (/ 1 2))) 52.078 * * [simplify]: iters left: 5 (9 enodes) 52.082 * * [simplify]: iters left: 4 (38 enodes) 52.094 * * [simplify]: iters left: 3 (85 enodes) 52.133 * * [simplify]: iters left: 2 (202 enodes) 52.193 * * [simplify]: iters left: 1 (476 enodes) 52.589 * * [simplify]: Extracting #0: cost 1 inf + 0 52.589 * * [simplify]: Extracting #1: cost 67 inf + 0 52.590 * * [simplify]: Extracting #2: cost 338 inf + 0 52.596 * * [simplify]: Extracting #3: cost 342 inf + 513 52.599 * * [simplify]: Extracting #4: cost 303 inf + 16153 52.614 * * [simplify]: Extracting #5: cost 97 inf + 159384 52.657 * * [simplify]: Extracting #6: cost 0 inf + 235613 52.701 * * [simplify]: Extracting #7: cost 0 inf + 235351 52.726 * [simplify]: Simplified to (* (sqrt (* 2 PI)) (sqrt n)) 52.726 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* 2 PI)) (sqrt n)) (* (sqrt k) (* (pow n (/ k 2)) (pow (* 2 PI) (/ k 2)))))) 52.726 * * * * [progress]: [ 168 / 182 ] simplifiying candidate # 52.726 * [simplify]: Simplifying (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ 1 2))) 52.726 * * [simplify]: iters left: 6 (12 enodes) 52.730 * * [simplify]: iters left: 5 (51 enodes) 52.742 * * [simplify]: iters left: 4 (99 enodes) 52.782 * * [simplify]: iters left: 3 (215 enodes) 52.892 * * [simplify]: Extracting #0: cost 1 inf + 0 52.892 * * [simplify]: Extracting #1: cost 36 inf + 0 52.893 * * [simplify]: Extracting #2: cost 119 inf + 0 52.893 * * [simplify]: Extracting #3: cost 140 inf + 6 52.894 * * [simplify]: Extracting #4: cost 142 inf + 54 52.896 * * [simplify]: Extracting #5: cost 120 inf + 4414 52.904 * * [simplify]: Extracting #6: cost 45 inf + 36418 52.919 * * [simplify]: Extracting #7: cost 5 inf + 59701 52.930 * * [simplify]: Extracting #8: cost 0 inf + 62833 52.941 * [simplify]: Simplified to (* (sqrt (* PI 2)) (pow n (/ (- 1 k) 2))) 52.941 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* PI 2)) (pow n (/ (- 1 k) 2))) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) 52.942 * * * * [progress]: [ 169 / 182 ] simplifiying candidate # 52.942 * [simplify]: Simplifying (* (pow n (/ 1 2)) (pow (* 2 PI) (/ (- 1 k) 2))) 52.942 * * [simplify]: iters left: 6 (12 enodes) 52.947 * * [simplify]: iters left: 5 (52 enodes) 52.964 * * [simplify]: iters left: 4 (104 enodes) 53.006 * * [simplify]: iters left: 3 (217 enodes) 53.091 * * [simplify]: Extracting #0: cost 1 inf + 0 53.091 * * [simplify]: Extracting #1: cost 33 inf + 0 53.092 * * [simplify]: Extracting #2: cost 113 inf + 0 53.092 * * [simplify]: Extracting #3: cost 129 inf + 471 53.094 * * [simplify]: Extracting #4: cost 118 inf + 3894 53.095 * * [simplify]: Extracting #5: cost 113 inf + 5077 53.098 * * [simplify]: Extracting #6: cost 90 inf + 8575 53.107 * * [simplify]: Extracting #7: cost 21 inf + 46705 53.120 * * [simplify]: Extracting #8: cost 0 inf + 61367 53.127 * [simplify]: Simplified to (* (sqrt n) (pow (* 2 PI) (- 1/2 (/ k 2)))) 53.127 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt n) (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (sqrt k) (pow n (/ k 2))))) 53.127 * * * * [progress]: [ 170 / 182 ] simplifiying candidate #real (real->posit16 (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))))> 53.128 * * * * [progress]: [ 171 / 182 ] simplifiying candidate # 53.128 * [simplify]: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 53.128 * * [simplify]: iters left: 6 (18 enodes) 53.134 * * [simplify]: iters left: 5 (83 enodes) 53.158 * * [simplify]: iters left: 4 (217 enodes) 53.261 * * [simplify]: Extracting #0: cost 1 inf + 0 53.261 * * [simplify]: Extracting #1: cost 30 inf + 0 53.262 * * [simplify]: Extracting #2: cost 133 inf + 3 53.263 * * [simplify]: Extracting #3: cost 153 inf + 1555 53.270 * * [simplify]: Extracting #4: cost 48 inf + 27042 53.287 * * [simplify]: Extracting #5: cost 1 inf + 39385 53.295 * * [simplify]: Extracting #6: cost 0 inf + 39357 53.302 * [simplify]: Simplified to (fma (* -1/2 (sqrt n)) (* k (log n)) (fma (* (sqrt n) (* (* k (log n)) (* k (log n)))) 1/8 (sqrt n))) 53.302 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (fma (* -1/2 (sqrt n)) (* k (log n)) (fma (* (sqrt n) (* (* k (log n)) (* k (log n)))) 1/8 (sqrt n))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 53.303 * * * * [progress]: [ 172 / 182 ] simplifiying candidate # 53.303 * [simplify]: Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 53.303 * * [simplify]: iters left: 6 (10 enodes) 53.306 * * [simplify]: iters left: 5 (44 enodes) 53.315 * * [simplify]: iters left: 4 (87 enodes) 53.345 * * [simplify]: iters left: 3 (211 enodes) 53.405 * * [simplify]: Extracting #0: cost 1 inf + 0 53.405 * * [simplify]: Extracting #1: cost 32 inf + 0 53.406 * * [simplify]: Extracting #2: cost 115 inf + 2 53.406 * * [simplify]: Extracting #3: cost 148 inf + 1208 53.409 * * [simplify]: Extracting #4: cost 61 inf + 14505 53.414 * * [simplify]: Extracting #5: cost 8 inf + 26237 53.420 * * [simplify]: Extracting #6: cost 1 inf + 30263 53.428 * * [simplify]: Extracting #7: cost 0 inf + 31149 53.439 * [simplify]: Simplified to (exp (* (log n) (* 1/2 (- 1 k)))) 53.439 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (exp (* (log n) (* 1/2 (- 1 k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 53.439 * * * * [progress]: [ 173 / 182 ] simplifiying candidate # 53.440 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 53.440 * * [simplify]: iters left: 6 (13 enodes) 53.448 * * [simplify]: iters left: 5 (53 enodes) 53.468 * * [simplify]: iters left: 4 (109 enodes) 53.518 * * [simplify]: iters left: 3 (311 enodes) 53.670 * * [simplify]: Extracting #0: cost 1 inf + 0 53.670 * * [simplify]: Extracting #1: cost 34 inf + 0 53.670 * * [simplify]: Extracting #2: cost 135 inf + 73 53.671 * * [simplify]: Extracting #3: cost 194 inf + 2919 53.675 * * [simplify]: Extracting #4: cost 87 inf + 21540 53.682 * * [simplify]: Extracting #5: cost 7 inf + 41330 53.695 * * [simplify]: Extracting #6: cost 0 inf + 43042 53.704 * * [simplify]: Extracting #7: cost 0 inf + 43035 53.713 * [simplify]: Simplified to (sqrt (exp (- (log n) (* k (log n))))) 53.714 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (exp (- (log n) (* k (log n))))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 53.714 * * * * [progress]: [ 174 / 182 ] simplifiying candidate # 53.714 * [simplify]: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 53.714 * * [simplify]: iters left: 6 (22 enodes) 53.724 * * [simplify]: iters left: 5 (109 enodes) 53.770 * * [simplify]: iters left: 4 (274 enodes) 53.877 * * [simplify]: Extracting #0: cost 1 inf + 0 53.877 * * [simplify]: Extracting #1: cost 28 inf + 0 53.878 * * [simplify]: Extracting #2: cost 210 inf + 3 53.880 * * [simplify]: Extracting #3: cost 248 inf + 10395 53.890 * * [simplify]: Extracting #4: cost 119 inf + 43002 53.904 * * [simplify]: Extracting #5: cost 35 inf + 63116 53.925 * * [simplify]: Extracting #6: cost 0 inf + 72981 53.956 * [simplify]: Simplified to (+ (fma (* (sqrt PI) 1/8) (* (* (* k (log (* PI 2))) (sqrt 2)) (* k (log (* PI 2)))) (* (* -1/2 (* (* k (log (* PI 2))) (sqrt 2))) (sqrt PI))) (sqrt (* PI 2))) 53.957 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (+ (fma (* (sqrt PI) 1/8) (* (* (* k (log (* PI 2))) (sqrt 2)) (* k (log (* PI 2)))) (* (* -1/2 (* (* k (log (* PI 2))) (sqrt 2))) (sqrt PI))) (sqrt (* PI 2)))) (sqrt k))) 53.957 * * * * [progress]: [ 175 / 182 ] simplifiying candidate # 53.957 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 53.957 * * [simplify]: iters left: 6 (11 enodes) 53.965 * * [simplify]: iters left: 5 (47 enodes) 53.982 * * [simplify]: iters left: 4 (98 enodes) 54.024 * * [simplify]: iters left: 3 (258 enodes) 54.091 * * [simplify]: Extracting #0: cost 1 inf + 0 54.091 * * [simplify]: Extracting #1: cost 32 inf + 0 54.092 * * [simplify]: Extracting #2: cost 122 inf + 72 54.092 * * [simplify]: Extracting #3: cost 169 inf + 851 54.094 * * [simplify]: Extracting #4: cost 116 inf + 8262 54.099 * * [simplify]: Extracting #5: cost 40 inf + 25273 54.108 * * [simplify]: Extracting #6: cost 4 inf + 33510 54.122 * * [simplify]: Extracting #7: cost 0 inf + 35739 54.136 * * [simplify]: Extracting #8: cost 0 inf + 35654 54.151 * [simplify]: Simplified to (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k)))) 54.151 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))) (sqrt k))) 54.151 * * * * [progress]: [ 176 / 182 ] simplifiying candidate # 54.151 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 54.151 * * [simplify]: iters left: 6 (11 enodes) 54.159 * * [simplify]: iters left: 5 (47 enodes) 54.172 * * [simplify]: iters left: 4 (98 enodes) 54.197 * * [simplify]: iters left: 3 (258 enodes) 54.300 * * [simplify]: Extracting #0: cost 1 inf + 0 54.300 * * [simplify]: Extracting #1: cost 32 inf + 0 54.301 * * [simplify]: Extracting #2: cost 122 inf + 72 54.302 * * [simplify]: Extracting #3: cost 169 inf + 851 54.305 * * [simplify]: Extracting #4: cost 116 inf + 8262 54.315 * * [simplify]: Extracting #5: cost 40 inf + 25273 54.328 * * [simplify]: Extracting #6: cost 4 inf + 33510 54.342 * * [simplify]: Extracting #7: cost 0 inf + 35739 54.353 * * [simplify]: Extracting #8: cost 0 inf + 35654 54.361 * [simplify]: Simplified to (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k)))) 54.361 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))) (sqrt k))) 54.361 * * * * [progress]: [ 177 / 182 ] simplifiying candidate # 54.361 * [simplify]: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (sqrt 2) (* (pow k 2) (* (log n) (log (* 2 PI))))) (sqrt (* n PI)))) (* (sqrt 2) (sqrt (* n PI)))))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))))) 54.361 * * [simplify]: iters left: 6 (43 enodes) 54.374 * * [simplify]: iters left: 5 (218 enodes) 54.440 * * [simplify]: Extracting #0: cost 1 inf + 0 54.440 * * [simplify]: Extracting #1: cost 22 inf + 0 54.441 * * [simplify]: Extracting #2: cost 92 inf + 1 54.442 * * [simplify]: Extracting #3: cost 168 inf + 3 54.443 * * [simplify]: Extracting #4: cost 198 inf + 1287 54.447 * * [simplify]: Extracting #5: cost 163 inf + 9866 54.458 * * [simplify]: Extracting #6: cost 92 inf + 30787 54.481 * * [simplify]: Extracting #7: cost 7 inf + 75139 54.502 * * [simplify]: Extracting #8: cost 0 inf + 78526 54.530 * * [simplify]: Extracting #9: cost 0 inf + 77621 54.550 * * [simplify]: Extracting #10: cost 0 inf + 77526 54.575 * [simplify]: Simplified to (- (fma (* (* (sqrt 2) (* (* k (log n)) (* k (log n)))) (sqrt (* PI n))) 1/8 (fma (* (* 1/8 (* (* k k) (sqrt 2))) (* (log (* PI 2)) (log (* PI 2)))) (sqrt (* PI n)) (fma 1/4 (* (* (sqrt 2) (sqrt (* PI n))) (* (* (log (* PI 2)) (log n)) (* k k))) (* (sqrt 2) (sqrt (* PI n)))))) (* (* (sqrt 2) (+ (* (sqrt (* PI n)) (* k (log n))) (* (log (* PI 2)) (* k (sqrt (* PI n)))))) 1/2)) 54.575 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (fma (* (* (sqrt 2) (* (* k (log n)) (* k (log n)))) (sqrt (* PI n))) 1/8 (fma (* (* 1/8 (* (* k k) (sqrt 2))) (* (log (* PI 2)) (log (* PI 2)))) (sqrt (* PI n)) (fma 1/4 (* (* (sqrt 2) (sqrt (* PI n))) (* (* (log (* PI 2)) (log n)) (* k k))) (* (sqrt 2) (sqrt (* PI n)))))) (* (* (sqrt 2) (+ (* (sqrt (* PI n)) (* k (log n))) (* (log (* PI 2)) (* k (sqrt (* PI n)))))) 1/2)) (sqrt k))) 54.576 * * * * [progress]: [ 178 / 182 ] simplifiying candidate # 54.576 * [simplify]: Simplifying (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) 54.576 * * [simplify]: iters left: 6 (19 enodes) 54.589 * * [simplify]: iters left: 5 (84 enodes) 54.621 * * [simplify]: iters left: 4 (179 enodes) 54.705 * * [simplify]: Extracting #0: cost 1 inf + 0 54.705 * * [simplify]: Extracting #1: cost 13 inf + 0 54.705 * * [simplify]: Extracting #2: cost 61 inf + 0 54.706 * * [simplify]: Extracting #3: cost 140 inf + 74 54.708 * * [simplify]: Extracting #4: cost 120 inf + 5244 54.716 * * [simplify]: Extracting #5: cost 24 inf + 22820 54.728 * * [simplify]: Extracting #6: cost 1 inf + 33427 54.740 * * [simplify]: Extracting #7: cost 0 inf + 33882 54.753 * [simplify]: Simplified to (exp (- (* (- 1 k) (* (log (* 2 PI)) 1/2)) (* (- 1 k) (* -1/2 (log n))))) 54.753 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (- (* (- 1 k) (* (log (* 2 PI)) 1/2)) (* (- 1 k) (* -1/2 (log n))))) (sqrt k))) 54.754 * * * * [progress]: [ 179 / 182 ] simplifiying candidate # 54.754 * [simplify]: Simplifying (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) 54.754 * * [simplify]: iters left: 6 (21 enodes) 54.767 * * [simplify]: iters left: 5 (88 enodes) 54.793 * * [simplify]: iters left: 4 (188 enodes) 54.876 * * [simplify]: Extracting #0: cost 1 inf + 0 54.876 * * [simplify]: Extracting #1: cost 17 inf + 0 54.876 * * [simplify]: Extracting #2: cost 84 inf + 0 54.877 * * [simplify]: Extracting #3: cost 180 inf + 73 54.879 * * [simplify]: Extracting #4: cost 182 inf + 2081 54.886 * * [simplify]: Extracting #5: cost 84 inf + 24365 54.900 * * [simplify]: Extracting #6: cost 13 inf + 43127 54.921 * * [simplify]: Extracting #7: cost 0 inf + 44127 54.938 * * [simplify]: Extracting #8: cost 0 inf + 43868 54.946 * [simplify]: Simplified to (exp (* (- 1 k) (* 1/2 (+ 0 (+ (log n) (log (* PI 2))))))) 54.946 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (- 1 k) (* 1/2 (+ 0 (+ (log n) (log (* PI 2))))))) (sqrt k))) 54.947 * * * * [progress]: [ 180 / 182 ] simplifiying candidate # 54.947 * [simplify]: Simplifying (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))) 54.947 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 54.947 * * * * [progress]: [ 181 / 182 ] simplifiying candidate # 54.947 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 3)))))))) 54.947 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 54.947 * * * * [progress]: [ 182 / 182 ] simplifiying candidate # 54.948 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k))))))) 54.948 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 54.948 * * * [progress]: adding candidates to table 57.262 * * [progress]: iteration 3 / 4 57.262 * * * [progress]: picking best candidate 57.313 * * * * [pick]: Picked # 57.313 * * * [progress]: localizing error 57.352 * * * [progress]: generating rewritten candidates 57.352 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 57.357 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 57.367 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 57.421 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 57.480 * * * [progress]: generating series expansions 57.480 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 57.481 * [backup-simplify]: Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k))) 57.481 * [approximate]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0 57.481 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 57.481 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 57.481 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 57.481 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 57.481 * [taylor]: Taking taylor expansion of 1/2 in k 57.481 * [backup-simplify]: Simplify 1/2 into 1/2 57.481 * [taylor]: Taking taylor expansion of (- 1 k) in k 57.481 * [taylor]: Taking taylor expansion of 1 in k 57.481 * [backup-simplify]: Simplify 1 into 1 57.481 * [taylor]: Taking taylor expansion of k in k 57.481 * [backup-simplify]: Simplify 0 into 0 57.481 * [backup-simplify]: Simplify 1 into 1 57.481 * [taylor]: Taking taylor expansion of (log n) in k 57.481 * [taylor]: Taking taylor expansion of n in k 57.481 * [backup-simplify]: Simplify n into n 57.481 * [backup-simplify]: Simplify (log n) into (log n) 57.482 * [backup-simplify]: Simplify (- 0) into 0 57.482 * [backup-simplify]: Simplify (+ 1 0) into 1 57.483 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.483 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 57.483 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 57.483 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 57.483 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 57.483 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 57.483 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 57.483 * [taylor]: Taking taylor expansion of 1/2 in n 57.483 * [backup-simplify]: Simplify 1/2 into 1/2 57.483 * [taylor]: Taking taylor expansion of (- 1 k) in n 57.483 * [taylor]: Taking taylor expansion of 1 in n 57.483 * [backup-simplify]: Simplify 1 into 1 57.483 * [taylor]: Taking taylor expansion of k in n 57.483 * [backup-simplify]: Simplify k into k 57.483 * [taylor]: Taking taylor expansion of (log n) in n 57.483 * [taylor]: Taking taylor expansion of n in n 57.484 * [backup-simplify]: Simplify 0 into 0 57.484 * [backup-simplify]: Simplify 1 into 1 57.484 * [backup-simplify]: Simplify (log 1) into 0 57.484 * [backup-simplify]: Simplify (- k) into (- k) 57.484 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 57.484 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 57.485 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 57.485 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 57.485 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 57.485 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 57.485 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 57.485 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 57.485 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 57.485 * [taylor]: Taking taylor expansion of 1/2 in n 57.485 * [backup-simplify]: Simplify 1/2 into 1/2 57.485 * [taylor]: Taking taylor expansion of (- 1 k) in n 57.485 * [taylor]: Taking taylor expansion of 1 in n 57.485 * [backup-simplify]: Simplify 1 into 1 57.485 * [taylor]: Taking taylor expansion of k in n 57.485 * [backup-simplify]: Simplify k into k 57.485 * [taylor]: Taking taylor expansion of (log n) in n 57.485 * [taylor]: Taking taylor expansion of n in n 57.485 * [backup-simplify]: Simplify 0 into 0 57.485 * [backup-simplify]: Simplify 1 into 1 57.486 * [backup-simplify]: Simplify (log 1) into 0 57.486 * [backup-simplify]: Simplify (- k) into (- k) 57.486 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 57.486 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 57.486 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 57.486 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 57.487 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 57.487 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 57.487 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 57.487 * [taylor]: Taking taylor expansion of 1/2 in k 57.487 * [backup-simplify]: Simplify 1/2 into 1/2 57.487 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 57.487 * [taylor]: Taking taylor expansion of (- 1 k) in k 57.487 * [taylor]: Taking taylor expansion of 1 in k 57.487 * [backup-simplify]: Simplify 1 into 1 57.487 * [taylor]: Taking taylor expansion of k in k 57.487 * [backup-simplify]: Simplify 0 into 0 57.487 * [backup-simplify]: Simplify 1 into 1 57.487 * [taylor]: Taking taylor expansion of (log n) in k 57.487 * [taylor]: Taking taylor expansion of n in k 57.487 * [backup-simplify]: Simplify n into n 57.487 * [backup-simplify]: Simplify (log n) into (log n) 57.487 * [backup-simplify]: Simplify (- 0) into 0 57.488 * [backup-simplify]: Simplify (+ 1 0) into 1 57.488 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 57.488 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 57.488 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 57.488 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2) 57.490 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 57.490 * [backup-simplify]: Simplify (- 0) into 0 57.490 * [backup-simplify]: Simplify (+ 0 0) into 0 57.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 57.491 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 57.492 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 57.493 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 57.493 * [taylor]: Taking taylor expansion of 0 in k 57.493 * [backup-simplify]: Simplify 0 into 0 57.493 * [backup-simplify]: Simplify 0 into 0 57.493 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 57.494 * [backup-simplify]: Simplify (- 1) into -1 57.494 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.495 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 57.495 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 57.495 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 57.495 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 57.498 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 57.499 * [backup-simplify]: Simplify (- 0) into 0 57.499 * [backup-simplify]: Simplify (+ 0 0) into 0 57.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 57.501 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 57.502 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 57.503 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 57.503 * [taylor]: Taking taylor expansion of 0 in k 57.503 * [backup-simplify]: Simplify 0 into 0 57.503 * [backup-simplify]: Simplify 0 into 0 57.503 * [backup-simplify]: Simplify 0 into 0 57.505 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 57.506 * [backup-simplify]: Simplify (- 0) into 0 57.506 * [backup-simplify]: Simplify (+ 0 0) into 0 57.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 57.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 57.508 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 57.509 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 57.509 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 57.510 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) 57.510 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 57.510 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 57.510 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 57.510 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 57.510 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 57.510 * [taylor]: Taking taylor expansion of 1/2 in k 57.510 * [backup-simplify]: Simplify 1/2 into 1/2 57.510 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 57.510 * [taylor]: Taking taylor expansion of 1 in k 57.510 * [backup-simplify]: Simplify 1 into 1 57.510 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.510 * [taylor]: Taking taylor expansion of k in k 57.510 * [backup-simplify]: Simplify 0 into 0 57.510 * [backup-simplify]: Simplify 1 into 1 57.511 * [backup-simplify]: Simplify (/ 1 1) into 1 57.511 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 57.511 * [taylor]: Taking taylor expansion of (/ 1 n) in k 57.511 * [taylor]: Taking taylor expansion of n in k 57.511 * [backup-simplify]: Simplify n into n 57.511 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 57.511 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 57.511 * [backup-simplify]: Simplify (- 1) into -1 57.512 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.512 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 57.512 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 57.512 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 57.512 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 57.513 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 57.513 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 57.513 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 57.513 * [taylor]: Taking taylor expansion of 1/2 in n 57.513 * [backup-simplify]: Simplify 1/2 into 1/2 57.513 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 57.513 * [taylor]: Taking taylor expansion of 1 in n 57.513 * [backup-simplify]: Simplify 1 into 1 57.513 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.513 * [taylor]: Taking taylor expansion of k in n 57.513 * [backup-simplify]: Simplify k into k 57.513 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.513 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 57.513 * [taylor]: Taking taylor expansion of (/ 1 n) in n 57.513 * [taylor]: Taking taylor expansion of n in n 57.513 * [backup-simplify]: Simplify 0 into 0 57.513 * [backup-simplify]: Simplify 1 into 1 57.513 * [backup-simplify]: Simplify (/ 1 1) into 1 57.514 * [backup-simplify]: Simplify (log 1) into 0 57.514 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 57.514 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 57.514 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 57.515 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 57.515 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 57.515 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 57.515 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 57.515 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 57.515 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 57.515 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 57.515 * [taylor]: Taking taylor expansion of 1/2 in n 57.515 * [backup-simplify]: Simplify 1/2 into 1/2 57.515 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 57.515 * [taylor]: Taking taylor expansion of 1 in n 57.515 * [backup-simplify]: Simplify 1 into 1 57.515 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.515 * [taylor]: Taking taylor expansion of k in n 57.515 * [backup-simplify]: Simplify k into k 57.515 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.515 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 57.515 * [taylor]: Taking taylor expansion of (/ 1 n) in n 57.515 * [taylor]: Taking taylor expansion of n in n 57.515 * [backup-simplify]: Simplify 0 into 0 57.515 * [backup-simplify]: Simplify 1 into 1 57.516 * [backup-simplify]: Simplify (/ 1 1) into 1 57.516 * [backup-simplify]: Simplify (log 1) into 0 57.516 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 57.516 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 57.516 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 57.517 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 57.517 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 57.517 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 57.517 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 57.517 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 57.517 * [taylor]: Taking taylor expansion of -1/2 in k 57.517 * [backup-simplify]: Simplify -1/2 into -1/2 57.518 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 57.518 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 57.518 * [taylor]: Taking taylor expansion of 1 in k 57.518 * [backup-simplify]: Simplify 1 into 1 57.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.518 * [taylor]: Taking taylor expansion of k in k 57.518 * [backup-simplify]: Simplify 0 into 0 57.518 * [backup-simplify]: Simplify 1 into 1 57.518 * [backup-simplify]: Simplify (/ 1 1) into 1 57.518 * [taylor]: Taking taylor expansion of (log n) in k 57.518 * [taylor]: Taking taylor expansion of n in k 57.518 * [backup-simplify]: Simplify n into n 57.518 * [backup-simplify]: Simplify (log n) into (log n) 57.519 * [backup-simplify]: Simplify (- 1) into -1 57.519 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.519 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 57.519 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 57.519 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 57.520 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 57.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 57.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 57.522 * [backup-simplify]: Simplify (- 0) into 0 57.523 * [backup-simplify]: Simplify (+ 0 0) into 0 57.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 57.523 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 57.523 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 57.524 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 57.524 * [taylor]: Taking taylor expansion of 0 in k 57.524 * [backup-simplify]: Simplify 0 into 0 57.524 * [backup-simplify]: Simplify 0 into 0 57.524 * [backup-simplify]: Simplify 0 into 0 57.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 57.526 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 57.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 57.527 * [backup-simplify]: Simplify (- 0) into 0 57.527 * [backup-simplify]: Simplify (+ 0 0) into 0 57.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 57.528 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 57.528 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 57.529 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 57.529 * [taylor]: Taking taylor expansion of 0 in k 57.529 * [backup-simplify]: Simplify 0 into 0 57.529 * [backup-simplify]: Simplify 0 into 0 57.529 * [backup-simplify]: Simplify 0 into 0 57.529 * [backup-simplify]: Simplify 0 into 0 57.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 57.533 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 57.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 57.533 * [backup-simplify]: Simplify (- 0) into 0 57.534 * [backup-simplify]: Simplify (+ 0 0) into 0 57.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 57.535 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 57.536 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 57.537 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 57.537 * [taylor]: Taking taylor expansion of 0 in k 57.537 * [backup-simplify]: Simplify 0 into 0 57.537 * [backup-simplify]: Simplify 0 into 0 57.537 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 57.537 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) 57.537 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 57.537 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 57.537 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 57.537 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 57.537 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 57.537 * [taylor]: Taking taylor expansion of 1/2 in k 57.537 * [backup-simplify]: Simplify 1/2 into 1/2 57.537 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 57.537 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.537 * [taylor]: Taking taylor expansion of k in k 57.537 * [backup-simplify]: Simplify 0 into 0 57.537 * [backup-simplify]: Simplify 1 into 1 57.537 * [backup-simplify]: Simplify (/ 1 1) into 1 57.537 * [taylor]: Taking taylor expansion of 1 in k 57.537 * [backup-simplify]: Simplify 1 into 1 57.537 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 57.537 * [taylor]: Taking taylor expansion of (/ -1 n) in k 57.538 * [taylor]: Taking taylor expansion of -1 in k 57.538 * [backup-simplify]: Simplify -1 into -1 57.538 * [taylor]: Taking taylor expansion of n in k 57.538 * [backup-simplify]: Simplify n into n 57.538 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 57.538 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 57.538 * [backup-simplify]: Simplify (+ 1 0) into 1 57.538 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.538 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 57.538 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 57.538 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 57.538 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 57.538 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 57.538 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 57.538 * [taylor]: Taking taylor expansion of 1/2 in n 57.539 * [backup-simplify]: Simplify 1/2 into 1/2 57.539 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 57.539 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.539 * [taylor]: Taking taylor expansion of k in n 57.539 * [backup-simplify]: Simplify k into k 57.539 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.539 * [taylor]: Taking taylor expansion of 1 in n 57.539 * [backup-simplify]: Simplify 1 into 1 57.539 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 57.539 * [taylor]: Taking taylor expansion of (/ -1 n) in n 57.539 * [taylor]: Taking taylor expansion of -1 in n 57.539 * [backup-simplify]: Simplify -1 into -1 57.539 * [taylor]: Taking taylor expansion of n in n 57.539 * [backup-simplify]: Simplify 0 into 0 57.539 * [backup-simplify]: Simplify 1 into 1 57.539 * [backup-simplify]: Simplify (/ -1 1) into -1 57.539 * [backup-simplify]: Simplify (log -1) into (log -1) 57.539 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 57.539 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 57.540 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 57.540 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 57.541 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 57.541 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 57.541 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 57.541 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 57.541 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 57.541 * [taylor]: Taking taylor expansion of 1/2 in n 57.541 * [backup-simplify]: Simplify 1/2 into 1/2 57.541 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 57.541 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.541 * [taylor]: Taking taylor expansion of k in n 57.541 * [backup-simplify]: Simplify k into k 57.541 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.541 * [taylor]: Taking taylor expansion of 1 in n 57.541 * [backup-simplify]: Simplify 1 into 1 57.541 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 57.541 * [taylor]: Taking taylor expansion of (/ -1 n) in n 57.541 * [taylor]: Taking taylor expansion of -1 in n 57.541 * [backup-simplify]: Simplify -1 into -1 57.541 * [taylor]: Taking taylor expansion of n in n 57.541 * [backup-simplify]: Simplify 0 into 0 57.541 * [backup-simplify]: Simplify 1 into 1 57.541 * [backup-simplify]: Simplify (/ -1 1) into -1 57.542 * [backup-simplify]: Simplify (log -1) into (log -1) 57.542 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 57.542 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 57.542 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 57.542 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 57.543 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 57.543 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 57.543 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 57.543 * [taylor]: Taking taylor expansion of 1/2 in k 57.543 * [backup-simplify]: Simplify 1/2 into 1/2 57.543 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 57.543 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 57.543 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.543 * [taylor]: Taking taylor expansion of k in k 57.543 * [backup-simplify]: Simplify 0 into 0 57.543 * [backup-simplify]: Simplify 1 into 1 57.543 * [backup-simplify]: Simplify (/ 1 1) into 1 57.543 * [taylor]: Taking taylor expansion of 1 in k 57.543 * [backup-simplify]: Simplify 1 into 1 57.543 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 57.543 * [taylor]: Taking taylor expansion of (log -1) in k 57.543 * [taylor]: Taking taylor expansion of -1 in k 57.543 * [backup-simplify]: Simplify -1 into -1 57.544 * [backup-simplify]: Simplify (log -1) into (log -1) 57.544 * [taylor]: Taking taylor expansion of (log n) in k 57.544 * [taylor]: Taking taylor expansion of n in k 57.544 * [backup-simplify]: Simplify n into n 57.544 * [backup-simplify]: Simplify (log n) into (log n) 57.544 * [backup-simplify]: Simplify (+ 1 0) into 1 57.544 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 57.544 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 57.545 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 57.545 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 57.545 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 57.546 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 57.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 57.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 57.547 * [backup-simplify]: Simplify (+ 0 0) into 0 57.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 57.548 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 57.548 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 57.549 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 57.549 * [taylor]: Taking taylor expansion of 0 in k 57.549 * [backup-simplify]: Simplify 0 into 0 57.549 * [backup-simplify]: Simplify 0 into 0 57.549 * [backup-simplify]: Simplify 0 into 0 57.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 57.552 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 57.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 57.552 * [backup-simplify]: Simplify (+ 0 0) into 0 57.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 57.553 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 57.554 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 57.559 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 57.559 * [taylor]: Taking taylor expansion of 0 in k 57.559 * [backup-simplify]: Simplify 0 into 0 57.559 * [backup-simplify]: Simplify 0 into 0 57.559 * [backup-simplify]: Simplify 0 into 0 57.559 * [backup-simplify]: Simplify 0 into 0 57.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 57.566 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 57.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 57.567 * [backup-simplify]: Simplify (+ 0 0) into 0 57.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 57.569 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 57.571 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 57.573 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 57.573 * [taylor]: Taking taylor expansion of 0 in k 57.573 * [backup-simplify]: Simplify 0 into 0 57.573 * [backup-simplify]: Simplify 0 into 0 57.574 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 57.574 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 57.574 * [backup-simplify]: Simplify (pow PI (/ (- 1 k) 2)) into (pow PI (* 1/2 (- 1 k))) 57.574 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in (k) around 0 57.574 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 57.574 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 57.574 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 57.574 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 57.574 * [taylor]: Taking taylor expansion of 1/2 in k 57.574 * [backup-simplify]: Simplify 1/2 into 1/2 57.574 * [taylor]: Taking taylor expansion of (- 1 k) in k 57.574 * [taylor]: Taking taylor expansion of 1 in k 57.574 * [backup-simplify]: Simplify 1 into 1 57.574 * [taylor]: Taking taylor expansion of k in k 57.574 * [backup-simplify]: Simplify 0 into 0 57.574 * [backup-simplify]: Simplify 1 into 1 57.574 * [taylor]: Taking taylor expansion of (log PI) in k 57.574 * [taylor]: Taking taylor expansion of PI in k 57.574 * [backup-simplify]: Simplify PI into PI 57.575 * [backup-simplify]: Simplify (log PI) into (log PI) 57.575 * [backup-simplify]: Simplify (- 0) into 0 57.576 * [backup-simplify]: Simplify (+ 1 0) into 1 57.576 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.577 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 57.579 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 57.579 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 57.579 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 57.579 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 57.579 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 57.579 * [taylor]: Taking taylor expansion of 1/2 in k 57.579 * [backup-simplify]: Simplify 1/2 into 1/2 57.579 * [taylor]: Taking taylor expansion of (- 1 k) in k 57.579 * [taylor]: Taking taylor expansion of 1 in k 57.579 * [backup-simplify]: Simplify 1 into 1 57.579 * [taylor]: Taking taylor expansion of k in k 57.579 * [backup-simplify]: Simplify 0 into 0 57.579 * [backup-simplify]: Simplify 1 into 1 57.579 * [taylor]: Taking taylor expansion of (log PI) in k 57.579 * [taylor]: Taking taylor expansion of PI in k 57.579 * [backup-simplify]: Simplify PI into PI 57.580 * [backup-simplify]: Simplify (log PI) into (log PI) 57.580 * [backup-simplify]: Simplify (- 0) into 0 57.581 * [backup-simplify]: Simplify (+ 1 0) into 1 57.581 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.582 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 57.584 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 57.584 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2) 57.586 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 57.586 * [backup-simplify]: Simplify (- 1) into -1 57.587 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.588 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 57.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 57.599 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 57.601 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 57.605 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 57.606 * [backup-simplify]: Simplify (- 0) into 0 57.606 * [backup-simplify]: Simplify (+ 0 0) into 0 57.607 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 57.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 57.620 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 57.623 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 57.629 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 57.630 * [backup-simplify]: Simplify (pow PI (/ (- 1 (/ 1 k)) 2)) into (pow PI (* 1/2 (- 1 (/ 1 k)))) 57.630 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in (k) around 0 57.630 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 57.630 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 57.630 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 57.630 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 57.630 * [taylor]: Taking taylor expansion of 1/2 in k 57.630 * [backup-simplify]: Simplify 1/2 into 1/2 57.630 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 57.630 * [taylor]: Taking taylor expansion of 1 in k 57.630 * [backup-simplify]: Simplify 1 into 1 57.630 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.630 * [taylor]: Taking taylor expansion of k in k 57.630 * [backup-simplify]: Simplify 0 into 0 57.630 * [backup-simplify]: Simplify 1 into 1 57.630 * [backup-simplify]: Simplify (/ 1 1) into 1 57.630 * [taylor]: Taking taylor expansion of (log PI) in k 57.630 * [taylor]: Taking taylor expansion of PI in k 57.631 * [backup-simplify]: Simplify PI into PI 57.631 * [backup-simplify]: Simplify (log PI) into (log PI) 57.631 * [backup-simplify]: Simplify (- 1) into -1 57.632 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.632 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 57.633 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 57.634 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 57.634 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 57.634 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 57.634 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 57.634 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 57.634 * [taylor]: Taking taylor expansion of 1/2 in k 57.634 * [backup-simplify]: Simplify 1/2 into 1/2 57.634 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 57.634 * [taylor]: Taking taylor expansion of 1 in k 57.634 * [backup-simplify]: Simplify 1 into 1 57.634 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.634 * [taylor]: Taking taylor expansion of k in k 57.634 * [backup-simplify]: Simplify 0 into 0 57.634 * [backup-simplify]: Simplify 1 into 1 57.635 * [backup-simplify]: Simplify (/ 1 1) into 1 57.635 * [taylor]: Taking taylor expansion of (log PI) in k 57.635 * [taylor]: Taking taylor expansion of PI in k 57.635 * [backup-simplify]: Simplify PI into PI 57.635 * [backup-simplify]: Simplify (log PI) into (log PI) 57.636 * [backup-simplify]: Simplify (- 1) into -1 57.636 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.636 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 57.637 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 57.638 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 57.638 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 57.638 * [backup-simplify]: Simplify 0 into 0 57.638 * [backup-simplify]: Simplify 0 into 0 57.639 * [backup-simplify]: Simplify 0 into 0 57.639 * [backup-simplify]: Simplify 0 into 0 57.639 * [backup-simplify]: Simplify 0 into 0 57.639 * [backup-simplify]: Simplify 0 into 0 57.639 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 57.640 * [backup-simplify]: Simplify (pow PI (/ (- 1 (/ 1 (- k))) 2)) into (pow PI (* 1/2 (+ (/ 1 k) 1))) 57.640 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in (k) around 0 57.640 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 57.640 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 57.640 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 57.640 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 57.640 * [taylor]: Taking taylor expansion of 1/2 in k 57.640 * [backup-simplify]: Simplify 1/2 into 1/2 57.640 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 57.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.640 * [taylor]: Taking taylor expansion of k in k 57.640 * [backup-simplify]: Simplify 0 into 0 57.640 * [backup-simplify]: Simplify 1 into 1 57.640 * [backup-simplify]: Simplify (/ 1 1) into 1 57.641 * [taylor]: Taking taylor expansion of 1 in k 57.641 * [backup-simplify]: Simplify 1 into 1 57.641 * [taylor]: Taking taylor expansion of (log PI) in k 57.641 * [taylor]: Taking taylor expansion of PI in k 57.641 * [backup-simplify]: Simplify PI into PI 57.641 * [backup-simplify]: Simplify (log PI) into (log PI) 57.641 * [backup-simplify]: Simplify (+ 1 0) into 1 57.642 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.643 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 57.643 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 57.643 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 57.643 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 57.643 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 57.643 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 57.643 * [taylor]: Taking taylor expansion of 1/2 in k 57.643 * [backup-simplify]: Simplify 1/2 into 1/2 57.644 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 57.644 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.644 * [taylor]: Taking taylor expansion of k in k 57.644 * [backup-simplify]: Simplify 0 into 0 57.644 * [backup-simplify]: Simplify 1 into 1 57.644 * [backup-simplify]: Simplify (/ 1 1) into 1 57.644 * [taylor]: Taking taylor expansion of 1 in k 57.644 * [backup-simplify]: Simplify 1 into 1 57.644 * [taylor]: Taking taylor expansion of (log PI) in k 57.644 * [taylor]: Taking taylor expansion of PI in k 57.644 * [backup-simplify]: Simplify PI into PI 57.645 * [backup-simplify]: Simplify (log PI) into (log PI) 57.645 * [backup-simplify]: Simplify (+ 1 0) into 1 57.645 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.646 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 57.647 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 57.647 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 57.647 * [backup-simplify]: Simplify 0 into 0 57.648 * [backup-simplify]: Simplify 0 into 0 57.648 * [backup-simplify]: Simplify 0 into 0 57.648 * [backup-simplify]: Simplify 0 into 0 57.648 * [backup-simplify]: Simplify 0 into 0 57.648 * [backup-simplify]: Simplify 0 into 0 57.648 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 57.648 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 57.649 * [backup-simplify]: Simplify (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) into (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) 57.649 * [approximate]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in (n k) around 0 57.649 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in k 57.649 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in k 57.649 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in k 57.649 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in k 57.649 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 57.649 * [taylor]: Taking taylor expansion of 1/2 in k 57.649 * [backup-simplify]: Simplify 1/2 into 1/2 57.649 * [taylor]: Taking taylor expansion of (- 1 k) in k 57.649 * [taylor]: Taking taylor expansion of 1 in k 57.649 * [backup-simplify]: Simplify 1 into 1 57.649 * [taylor]: Taking taylor expansion of k in k 57.649 * [backup-simplify]: Simplify 0 into 0 57.649 * [backup-simplify]: Simplify 1 into 1 57.649 * [taylor]: Taking taylor expansion of (log 2) in k 57.649 * [taylor]: Taking taylor expansion of 2 in k 57.649 * [backup-simplify]: Simplify 2 into 2 57.650 * [backup-simplify]: Simplify (log 2) into (log 2) 57.650 * [backup-simplify]: Simplify (- 0) into 0 57.650 * [backup-simplify]: Simplify (+ 1 0) into 1 57.651 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.652 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 57.653 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 57.653 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in k 57.653 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 57.653 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 57.653 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 57.653 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 57.653 * [taylor]: Taking taylor expansion of 1/2 in k 57.653 * [backup-simplify]: Simplify 1/2 into 1/2 57.654 * [taylor]: Taking taylor expansion of (- 1 k) in k 57.654 * [taylor]: Taking taylor expansion of 1 in k 57.654 * [backup-simplify]: Simplify 1 into 1 57.654 * [taylor]: Taking taylor expansion of k in k 57.654 * [backup-simplify]: Simplify 0 into 0 57.654 * [backup-simplify]: Simplify 1 into 1 57.654 * [taylor]: Taking taylor expansion of (log PI) in k 57.654 * [taylor]: Taking taylor expansion of PI in k 57.654 * [backup-simplify]: Simplify PI into PI 57.654 * [backup-simplify]: Simplify (log PI) into (log PI) 57.654 * [backup-simplify]: Simplify (- 0) into 0 57.655 * [backup-simplify]: Simplify (+ 1 0) into 1 57.655 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.656 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 57.656 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 57.657 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 57.657 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 57.657 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 57.657 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 57.657 * [taylor]: Taking taylor expansion of 1/2 in k 57.657 * [backup-simplify]: Simplify 1/2 into 1/2 57.657 * [taylor]: Taking taylor expansion of (- 1 k) in k 57.657 * [taylor]: Taking taylor expansion of 1 in k 57.657 * [backup-simplify]: Simplify 1 into 1 57.657 * [taylor]: Taking taylor expansion of k in k 57.657 * [backup-simplify]: Simplify 0 into 0 57.657 * [backup-simplify]: Simplify 1 into 1 57.657 * [taylor]: Taking taylor expansion of (log n) in k 57.657 * [taylor]: Taking taylor expansion of n in k 57.657 * [backup-simplify]: Simplify n into n 57.657 * [backup-simplify]: Simplify (log n) into (log n) 57.657 * [backup-simplify]: Simplify (- 0) into 0 57.657 * [backup-simplify]: Simplify (+ 1 0) into 1 57.658 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.658 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 57.658 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 57.658 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 57.658 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in n 57.658 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in n 57.658 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in n 57.658 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 57.658 * [taylor]: Taking taylor expansion of 1/2 in n 57.658 * [backup-simplify]: Simplify 1/2 into 1/2 57.658 * [taylor]: Taking taylor expansion of (- 1 k) in n 57.658 * [taylor]: Taking taylor expansion of 1 in n 57.658 * [backup-simplify]: Simplify 1 into 1 57.658 * [taylor]: Taking taylor expansion of k in n 57.658 * [backup-simplify]: Simplify k into k 57.658 * [taylor]: Taking taylor expansion of (log 2) in n 57.658 * [taylor]: Taking taylor expansion of 2 in n 57.658 * [backup-simplify]: Simplify 2 into 2 57.658 * [backup-simplify]: Simplify (log 2) into (log 2) 57.658 * [backup-simplify]: Simplify (- k) into (- k) 57.658 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 57.658 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 57.659 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log 2)) into (* 1/2 (* (- 1 k) (log 2))) 57.659 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log 2)))) into (exp (* 1/2 (* (- 1 k) (log 2)))) 57.659 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 57.659 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in n 57.659 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in n 57.659 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in n 57.659 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 57.659 * [taylor]: Taking taylor expansion of 1/2 in n 57.659 * [backup-simplify]: Simplify 1/2 into 1/2 57.659 * [taylor]: Taking taylor expansion of (- 1 k) in n 57.659 * [taylor]: Taking taylor expansion of 1 in n 57.659 * [backup-simplify]: Simplify 1 into 1 57.659 * [taylor]: Taking taylor expansion of k in n 57.659 * [backup-simplify]: Simplify k into k 57.659 * [taylor]: Taking taylor expansion of (log PI) in n 57.659 * [taylor]: Taking taylor expansion of PI in n 57.659 * [backup-simplify]: Simplify PI into PI 57.659 * [backup-simplify]: Simplify (log PI) into (log PI) 57.659 * [backup-simplify]: Simplify (- k) into (- k) 57.660 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 57.660 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 57.660 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI))) 57.660 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 57.660 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 57.660 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 57.660 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 57.660 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 57.660 * [taylor]: Taking taylor expansion of 1/2 in n 57.660 * [backup-simplify]: Simplify 1/2 into 1/2 57.660 * [taylor]: Taking taylor expansion of (- 1 k) in n 57.660 * [taylor]: Taking taylor expansion of 1 in n 57.660 * [backup-simplify]: Simplify 1 into 1 57.660 * [taylor]: Taking taylor expansion of k in n 57.660 * [backup-simplify]: Simplify k into k 57.660 * [taylor]: Taking taylor expansion of (log n) in n 57.660 * [taylor]: Taking taylor expansion of n in n 57.660 * [backup-simplify]: Simplify 0 into 0 57.660 * [backup-simplify]: Simplify 1 into 1 57.661 * [backup-simplify]: Simplify (log 1) into 0 57.661 * [backup-simplify]: Simplify (- k) into (- k) 57.661 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 57.661 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 57.661 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 57.661 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 57.661 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 57.661 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 57.661 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in n 57.661 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in n 57.661 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in n 57.661 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 57.661 * [taylor]: Taking taylor expansion of 1/2 in n 57.661 * [backup-simplify]: Simplify 1/2 into 1/2 57.661 * [taylor]: Taking taylor expansion of (- 1 k) in n 57.661 * [taylor]: Taking taylor expansion of 1 in n 57.661 * [backup-simplify]: Simplify 1 into 1 57.661 * [taylor]: Taking taylor expansion of k in n 57.661 * [backup-simplify]: Simplify k into k 57.661 * [taylor]: Taking taylor expansion of (log 2) in n 57.661 * [taylor]: Taking taylor expansion of 2 in n 57.661 * [backup-simplify]: Simplify 2 into 2 57.662 * [backup-simplify]: Simplify (log 2) into (log 2) 57.662 * [backup-simplify]: Simplify (- k) into (- k) 57.662 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 57.662 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 57.662 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log 2)) into (* 1/2 (* (- 1 k) (log 2))) 57.662 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log 2)))) into (exp (* 1/2 (* (- 1 k) (log 2)))) 57.662 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 57.662 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in n 57.662 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in n 57.662 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in n 57.662 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 57.663 * [taylor]: Taking taylor expansion of 1/2 in n 57.663 * [backup-simplify]: Simplify 1/2 into 1/2 57.663 * [taylor]: Taking taylor expansion of (- 1 k) in n 57.663 * [taylor]: Taking taylor expansion of 1 in n 57.663 * [backup-simplify]: Simplify 1 into 1 57.663 * [taylor]: Taking taylor expansion of k in n 57.663 * [backup-simplify]: Simplify k into k 57.663 * [taylor]: Taking taylor expansion of (log PI) in n 57.663 * [taylor]: Taking taylor expansion of PI in n 57.663 * [backup-simplify]: Simplify PI into PI 57.663 * [backup-simplify]: Simplify (log PI) into (log PI) 57.663 * [backup-simplify]: Simplify (- k) into (- k) 57.663 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 57.663 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 57.663 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI))) 57.664 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 57.664 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 57.664 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 57.664 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 57.664 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 57.664 * [taylor]: Taking taylor expansion of 1/2 in n 57.664 * [backup-simplify]: Simplify 1/2 into 1/2 57.664 * [taylor]: Taking taylor expansion of (- 1 k) in n 57.664 * [taylor]: Taking taylor expansion of 1 in n 57.664 * [backup-simplify]: Simplify 1 into 1 57.664 * [taylor]: Taking taylor expansion of k in n 57.664 * [backup-simplify]: Simplify k into k 57.664 * [taylor]: Taking taylor expansion of (log n) in n 57.664 * [taylor]: Taking taylor expansion of n in n 57.664 * [backup-simplify]: Simplify 0 into 0 57.664 * [backup-simplify]: Simplify 1 into 1 57.664 * [backup-simplify]: Simplify (log 1) into 0 57.664 * [backup-simplify]: Simplify (- k) into (- k) 57.664 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 57.664 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 57.664 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 57.665 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 57.665 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 57.665 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))) into (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))) 57.666 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) into (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 57.666 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) in k 57.666 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log 2)))) in k 57.666 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log 2))) in k 57.666 * [taylor]: Taking taylor expansion of 1/2 in k 57.666 * [backup-simplify]: Simplify 1/2 into 1/2 57.666 * [taylor]: Taking taylor expansion of (* (- 1 k) (log 2)) in k 57.666 * [taylor]: Taking taylor expansion of (- 1 k) in k 57.666 * [taylor]: Taking taylor expansion of 1 in k 57.666 * [backup-simplify]: Simplify 1 into 1 57.666 * [taylor]: Taking taylor expansion of k in k 57.666 * [backup-simplify]: Simplify 0 into 0 57.666 * [backup-simplify]: Simplify 1 into 1 57.666 * [taylor]: Taking taylor expansion of (log 2) in k 57.666 * [taylor]: Taking taylor expansion of 2 in k 57.666 * [backup-simplify]: Simplify 2 into 2 57.666 * [backup-simplify]: Simplify (log 2) into (log 2) 57.666 * [backup-simplify]: Simplify (- 0) into 0 57.667 * [backup-simplify]: Simplify (+ 1 0) into 1 57.667 * [backup-simplify]: Simplify (* 1 (log 2)) into (log 2) 57.668 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 57.669 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 57.669 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))) in k 57.669 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log PI)))) in k 57.669 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in k 57.669 * [taylor]: Taking taylor expansion of 1/2 in k 57.669 * [backup-simplify]: Simplify 1/2 into 1/2 57.669 * [taylor]: Taking taylor expansion of (* (- 1 k) (log PI)) in k 57.669 * [taylor]: Taking taylor expansion of (- 1 k) in k 57.669 * [taylor]: Taking taylor expansion of 1 in k 57.669 * [backup-simplify]: Simplify 1 into 1 57.669 * [taylor]: Taking taylor expansion of k in k 57.669 * [backup-simplify]: Simplify 0 into 0 57.669 * [backup-simplify]: Simplify 1 into 1 57.669 * [taylor]: Taking taylor expansion of (log PI) in k 57.669 * [taylor]: Taking taylor expansion of PI in k 57.669 * [backup-simplify]: Simplify PI into PI 57.669 * [backup-simplify]: Simplify (log PI) into (log PI) 57.669 * [backup-simplify]: Simplify (- 0) into 0 57.670 * [backup-simplify]: Simplify (+ 1 0) into 1 57.670 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 57.671 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 57.672 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 57.672 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 57.672 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 57.672 * [taylor]: Taking taylor expansion of 1/2 in k 57.672 * [backup-simplify]: Simplify 1/2 into 1/2 57.672 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 57.672 * [taylor]: Taking taylor expansion of (- 1 k) in k 57.672 * [taylor]: Taking taylor expansion of 1 in k 57.672 * [backup-simplify]: Simplify 1 into 1 57.672 * [taylor]: Taking taylor expansion of k in k 57.672 * [backup-simplify]: Simplify 0 into 0 57.672 * [backup-simplify]: Simplify 1 into 1 57.672 * [taylor]: Taking taylor expansion of (log n) in k 57.672 * [taylor]: Taking taylor expansion of n in k 57.672 * [backup-simplify]: Simplify n into n 57.672 * [backup-simplify]: Simplify (log n) into (log n) 57.672 * [backup-simplify]: Simplify (- 0) into 0 57.673 * [backup-simplify]: Simplify (+ 1 0) into 1 57.673 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 57.673 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 57.673 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 57.673 * [backup-simplify]: Simplify (* (pow PI 1/2) (pow n 1/2)) into (sqrt (* n PI)) 57.673 * [backup-simplify]: Simplify (* (pow 2 1/2) (sqrt (* n PI))) into (sqrt (* PI (* n 2))) 57.673 * [backup-simplify]: Simplify (sqrt (* PI (* n 2))) into (* (sqrt 2) (sqrt (* n PI))) 57.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 57.674 * [backup-simplify]: Simplify (- 0) into 0 57.675 * [backup-simplify]: Simplify (+ 0 0) into 0 57.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 57.675 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 57.675 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 57.676 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 57.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 57.677 * [backup-simplify]: Simplify (- 0) into 0 57.677 * [backup-simplify]: Simplify (+ 0 0) into 0 57.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 57.678 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log PI))) into 0 57.679 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 57.679 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))) into 0 57.680 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 57.681 * [backup-simplify]: Simplify (- 0) into 0 57.681 * [backup-simplify]: Simplify (+ 0 0) into 0 57.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 57.682 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log 2))) into 0 57.683 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 57.684 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log 2)))) 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 57.684 * [taylor]: Taking taylor expansion of 0 in k 57.684 * [backup-simplify]: Simplify 0 into 0 57.684 * [backup-simplify]: Simplify 0 into 0 57.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 57.685 * [backup-simplify]: Simplify (- 1) into -1 57.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.686 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 57.686 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 57.687 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 57.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 57.689 * [backup-simplify]: Simplify (- 1) into -1 57.689 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.697 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log PI))) into (- (log PI)) 57.701 * [backup-simplify]: Simplify (+ (* 1/2 (- (log PI))) (* 0 (log PI))) into (- (* 1/2 (log PI))) 57.710 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 57.713 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/2 (* (log PI) (sqrt PI))) (pow n 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n)))))) 57.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 57.715 * [backup-simplify]: Simplify (- 1) into -1 57.716 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.718 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log 2))) into (- (log 2)) 57.721 * [backup-simplify]: Simplify (+ (* 1/2 (- (log 2))) (* 0 (log 2))) into (- (* 1/2 (log 2))) 57.728 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 57.731 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* -1/2 (* (log 2) (sqrt 2))) (sqrt (* n PI)))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 57.733 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 57.735 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 57.735 * [backup-simplify]: Simplify (- 0) into 0 57.735 * [backup-simplify]: Simplify (+ 0 0) into 0 57.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 57.736 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 57.736 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 57.737 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 57.739 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 57.739 * [backup-simplify]: Simplify (- 0) into 0 57.739 * [backup-simplify]: Simplify (+ 0 0) into 0 57.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 57.740 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 57.741 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 57.742 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 57.744 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 57.744 * [backup-simplify]: Simplify (- 0) into 0 57.744 * [backup-simplify]: Simplify (+ 0 0) into 0 57.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 57.746 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 57.747 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 57.747 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log 2)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))))) into 0 57.747 * [taylor]: Taking taylor expansion of 0 in k 57.747 * [backup-simplify]: Simplify 0 into 0 57.748 * [backup-simplify]: Simplify 0 into 0 57.748 * [backup-simplify]: Simplify 0 into 0 57.749 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 57.749 * [backup-simplify]: Simplify (- 0) into 0 57.749 * [backup-simplify]: Simplify (+ 0 0) into 0 57.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 57.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 57.751 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 57.752 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 57.753 * [backup-simplify]: Simplify (- 0) into 0 57.753 * [backup-simplify]: Simplify (+ 0 0) into 0 57.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log PI)))) into 0 57.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log PI))) (* 0 (log PI)))) into 0 57.765 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 57.771 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* -1/2 (* (sqrt n) (log n)))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow n 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))))) 57.774 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 57.775 * [backup-simplify]: Simplify (- 0) into 0 57.775 * [backup-simplify]: Simplify (+ 0 0) into 0 57.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log 2)))) into 0 57.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log 2))) (* 0 (log 2)))) into 0 57.789 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 57.798 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n))))))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (sqrt (* n PI))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 57.808 * [backup-simplify]: Simplify (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))))))))) 57.830 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* k 1)) (* (sqrt 2) (sqrt (* n PI))))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (sqrt 2) (* (pow k 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* (sqrt 2) (sqrt (* n PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (* (pow k 2) (log PI)))) (sqrt (* PI n)))) (* 1/4 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))))))))) (+ (* 1/2 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (* 1/2 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI))))))) 57.830 * [backup-simplify]: Simplify (* (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (* (pow 2 (/ (- 1 (/ 1 k)) 2)) (pow PI (/ (- 1 (/ 1 k)) 2)))) into (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) 57.830 * [approximate]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in (n k) around 0 57.830 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in k 57.830 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 57.830 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 57.830 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 57.830 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 57.830 * [taylor]: Taking taylor expansion of 1/2 in k 57.830 * [backup-simplify]: Simplify 1/2 into 1/2 57.830 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 57.830 * [taylor]: Taking taylor expansion of 1 in k 57.830 * [backup-simplify]: Simplify 1 into 1 57.830 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.830 * [taylor]: Taking taylor expansion of k in k 57.830 * [backup-simplify]: Simplify 0 into 0 57.830 * [backup-simplify]: Simplify 1 into 1 57.831 * [backup-simplify]: Simplify (/ 1 1) into 1 57.831 * [taylor]: Taking taylor expansion of (log PI) in k 57.831 * [taylor]: Taking taylor expansion of PI in k 57.831 * [backup-simplify]: Simplify PI into PI 57.831 * [backup-simplify]: Simplify (log PI) into (log PI) 57.832 * [backup-simplify]: Simplify (- 1) into -1 57.832 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.832 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 57.833 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 57.833 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 57.833 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in k 57.833 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 57.833 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 57.833 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 57.833 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 57.833 * [taylor]: Taking taylor expansion of 1/2 in k 57.833 * [backup-simplify]: Simplify 1/2 into 1/2 57.833 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 57.833 * [taylor]: Taking taylor expansion of 1 in k 57.833 * [backup-simplify]: Simplify 1 into 1 57.833 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.833 * [taylor]: Taking taylor expansion of k in k 57.833 * [backup-simplify]: Simplify 0 into 0 57.833 * [backup-simplify]: Simplify 1 into 1 57.834 * [backup-simplify]: Simplify (/ 1 1) into 1 57.834 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 57.834 * [taylor]: Taking taylor expansion of (/ 1 n) in k 57.834 * [taylor]: Taking taylor expansion of n in k 57.834 * [backup-simplify]: Simplify n into n 57.834 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 57.834 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 57.834 * [backup-simplify]: Simplify (- 1) into -1 57.834 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.835 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 57.835 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 57.835 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 57.835 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in k 57.835 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in k 57.835 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in k 57.835 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 57.835 * [taylor]: Taking taylor expansion of 1/2 in k 57.835 * [backup-simplify]: Simplify 1/2 into 1/2 57.835 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 57.835 * [taylor]: Taking taylor expansion of 1 in k 57.835 * [backup-simplify]: Simplify 1 into 1 57.835 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.835 * [taylor]: Taking taylor expansion of k in k 57.835 * [backup-simplify]: Simplify 0 into 0 57.835 * [backup-simplify]: Simplify 1 into 1 57.835 * [backup-simplify]: Simplify (/ 1 1) into 1 57.835 * [taylor]: Taking taylor expansion of (log 2) in k 57.835 * [taylor]: Taking taylor expansion of 2 in k 57.835 * [backup-simplify]: Simplify 2 into 2 57.836 * [backup-simplify]: Simplify (log 2) into (log 2) 57.836 * [backup-simplify]: Simplify (- 1) into -1 57.836 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.836 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 57.837 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 57.837 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 57.837 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in n 57.837 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in n 57.837 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in n 57.837 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in n 57.837 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 57.837 * [taylor]: Taking taylor expansion of 1/2 in n 57.837 * [backup-simplify]: Simplify 1/2 into 1/2 57.837 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 57.837 * [taylor]: Taking taylor expansion of 1 in n 57.837 * [backup-simplify]: Simplify 1 into 1 57.837 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.837 * [taylor]: Taking taylor expansion of k in n 57.837 * [backup-simplify]: Simplify k into k 57.838 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.838 * [taylor]: Taking taylor expansion of (log PI) in n 57.838 * [taylor]: Taking taylor expansion of PI in n 57.838 * [backup-simplify]: Simplify PI into PI 57.838 * [backup-simplify]: Simplify (log PI) into (log PI) 57.838 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 57.838 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 57.838 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 57.838 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 57.839 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 57.839 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in n 57.839 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 57.839 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 57.839 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 57.839 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 57.839 * [taylor]: Taking taylor expansion of 1/2 in n 57.839 * [backup-simplify]: Simplify 1/2 into 1/2 57.839 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 57.839 * [taylor]: Taking taylor expansion of 1 in n 57.839 * [backup-simplify]: Simplify 1 into 1 57.839 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.839 * [taylor]: Taking taylor expansion of k in n 57.839 * [backup-simplify]: Simplify k into k 57.839 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.839 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 57.839 * [taylor]: Taking taylor expansion of (/ 1 n) in n 57.839 * [taylor]: Taking taylor expansion of n in n 57.839 * [backup-simplify]: Simplify 0 into 0 57.839 * [backup-simplify]: Simplify 1 into 1 57.839 * [backup-simplify]: Simplify (/ 1 1) into 1 57.839 * [backup-simplify]: Simplify (log 1) into 0 57.839 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 57.840 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 57.840 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 57.840 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 57.840 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 57.840 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 57.840 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in n 57.840 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in n 57.840 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in n 57.840 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 57.840 * [taylor]: Taking taylor expansion of 1/2 in n 57.840 * [backup-simplify]: Simplify 1/2 into 1/2 57.840 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 57.840 * [taylor]: Taking taylor expansion of 1 in n 57.840 * [backup-simplify]: Simplify 1 into 1 57.840 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.840 * [taylor]: Taking taylor expansion of k in n 57.840 * [backup-simplify]: Simplify k into k 57.840 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.840 * [taylor]: Taking taylor expansion of (log 2) in n 57.840 * [taylor]: Taking taylor expansion of 2 in n 57.840 * [backup-simplify]: Simplify 2 into 2 57.841 * [backup-simplify]: Simplify (log 2) into (log 2) 57.841 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 57.841 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 57.841 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 57.841 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log 2)) into (* 1/2 (* (log 2) (- 1 (/ 1 k)))) 57.841 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 57.841 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in n 57.841 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in n 57.841 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in n 57.841 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in n 57.841 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 57.841 * [taylor]: Taking taylor expansion of 1/2 in n 57.842 * [backup-simplify]: Simplify 1/2 into 1/2 57.842 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 57.842 * [taylor]: Taking taylor expansion of 1 in n 57.842 * [backup-simplify]: Simplify 1 into 1 57.842 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.842 * [taylor]: Taking taylor expansion of k in n 57.842 * [backup-simplify]: Simplify k into k 57.842 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.842 * [taylor]: Taking taylor expansion of (log PI) in n 57.842 * [taylor]: Taking taylor expansion of PI in n 57.842 * [backup-simplify]: Simplify PI into PI 57.842 * [backup-simplify]: Simplify (log PI) into (log PI) 57.842 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 57.842 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 57.842 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 57.842 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 57.843 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 57.843 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in n 57.843 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 57.843 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 57.843 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 57.843 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 57.843 * [taylor]: Taking taylor expansion of 1/2 in n 57.843 * [backup-simplify]: Simplify 1/2 into 1/2 57.843 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 57.843 * [taylor]: Taking taylor expansion of 1 in n 57.843 * [backup-simplify]: Simplify 1 into 1 57.843 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.843 * [taylor]: Taking taylor expansion of k in n 57.843 * [backup-simplify]: Simplify k into k 57.843 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.843 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 57.843 * [taylor]: Taking taylor expansion of (/ 1 n) in n 57.843 * [taylor]: Taking taylor expansion of n in n 57.843 * [backup-simplify]: Simplify 0 into 0 57.843 * [backup-simplify]: Simplify 1 into 1 57.843 * [backup-simplify]: Simplify (/ 1 1) into 1 57.844 * [backup-simplify]: Simplify (log 1) into 0 57.844 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 57.844 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 57.844 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 57.844 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 57.844 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 57.844 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 57.844 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in n 57.844 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in n 57.844 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in n 57.844 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 57.844 * [taylor]: Taking taylor expansion of 1/2 in n 57.844 * [backup-simplify]: Simplify 1/2 into 1/2 57.844 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 57.844 * [taylor]: Taking taylor expansion of 1 in n 57.844 * [backup-simplify]: Simplify 1 into 1 57.844 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.844 * [taylor]: Taking taylor expansion of k in n 57.844 * [backup-simplify]: Simplify k into k 57.844 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.844 * [taylor]: Taking taylor expansion of (log 2) in n 57.844 * [taylor]: Taking taylor expansion of 2 in n 57.844 * [backup-simplify]: Simplify 2 into 2 57.845 * [backup-simplify]: Simplify (log 2) into (log 2) 57.845 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 57.845 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 57.845 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 57.845 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log 2)) into (* 1/2 (* (log 2) (- 1 (/ 1 k)))) 57.845 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 57.846 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) into (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 57.847 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 57.847 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) in k 57.847 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in k 57.847 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in k 57.847 * [taylor]: Taking taylor expansion of 1/2 in k 57.847 * [backup-simplify]: Simplify 1/2 into 1/2 57.847 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in k 57.847 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 57.847 * [taylor]: Taking taylor expansion of 1 in k 57.847 * [backup-simplify]: Simplify 1 into 1 57.847 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.847 * [taylor]: Taking taylor expansion of k in k 57.847 * [backup-simplify]: Simplify 0 into 0 57.847 * [backup-simplify]: Simplify 1 into 1 57.847 * [backup-simplify]: Simplify (/ 1 1) into 1 57.847 * [taylor]: Taking taylor expansion of (log PI) in k 57.847 * [taylor]: Taking taylor expansion of PI in k 57.847 * [backup-simplify]: Simplify PI into PI 57.847 * [backup-simplify]: Simplify (log PI) into (log PI) 57.848 * [backup-simplify]: Simplify (- 1) into -1 57.848 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.849 * [backup-simplify]: Simplify (* -1 (log PI)) into (* -1 (log PI)) 57.850 * [backup-simplify]: Simplify (* 1/2 (* -1 (log PI))) into (* -1/2 (log PI)) 57.850 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 57.850 * [taylor]: Taking taylor expansion of (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) in k 57.850 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 57.850 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 57.850 * [taylor]: Taking taylor expansion of -1/2 in k 57.850 * [backup-simplify]: Simplify -1/2 into -1/2 57.850 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 57.850 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 57.850 * [taylor]: Taking taylor expansion of 1 in k 57.850 * [backup-simplify]: Simplify 1 into 1 57.850 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.850 * [taylor]: Taking taylor expansion of k in k 57.850 * [backup-simplify]: Simplify 0 into 0 57.850 * [backup-simplify]: Simplify 1 into 1 57.851 * [backup-simplify]: Simplify (/ 1 1) into 1 57.851 * [taylor]: Taking taylor expansion of (log n) in k 57.851 * [taylor]: Taking taylor expansion of n in k 57.851 * [backup-simplify]: Simplify n into n 57.851 * [backup-simplify]: Simplify (log n) into (log n) 57.851 * [backup-simplify]: Simplify (- 1) into -1 57.851 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.851 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 57.851 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 57.851 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 57.851 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) in k 57.851 * [taylor]: Taking taylor expansion of (* 1/2 (* (log 2) (- 1 (/ 1 k)))) in k 57.851 * [taylor]: Taking taylor expansion of 1/2 in k 57.851 * [backup-simplify]: Simplify 1/2 into 1/2 57.851 * [taylor]: Taking taylor expansion of (* (log 2) (- 1 (/ 1 k))) in k 57.851 * [taylor]: Taking taylor expansion of (log 2) in k 57.851 * [taylor]: Taking taylor expansion of 2 in k 57.851 * [backup-simplify]: Simplify 2 into 2 57.852 * [backup-simplify]: Simplify (log 2) into (log 2) 57.852 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 57.852 * [taylor]: Taking taylor expansion of 1 in k 57.852 * [backup-simplify]: Simplify 1 into 1 57.852 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.852 * [taylor]: Taking taylor expansion of k in k 57.852 * [backup-simplify]: Simplify 0 into 0 57.852 * [backup-simplify]: Simplify 1 into 1 57.852 * [backup-simplify]: Simplify (/ 1 1) into 1 57.852 * [backup-simplify]: Simplify (- 1) into -1 57.853 * [backup-simplify]: Simplify (+ 0 -1) into -1 57.853 * [backup-simplify]: Simplify (* (log 2) -1) into (* -1 (log 2)) 57.854 * [backup-simplify]: Simplify (* 1/2 (* -1 (log 2))) into (* -1/2 (log 2)) 57.854 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 57.855 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) into (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 57.855 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 57.856 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 57.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 57.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 57.857 * [backup-simplify]: Simplify (- 0) into 0 57.858 * [backup-simplify]: Simplify (+ 0 0) into 0 57.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 57.858 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log 2))) into 0 57.859 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 57.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 57.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 57.861 * [backup-simplify]: Simplify (- 0) into 0 57.861 * [backup-simplify]: Simplify (+ 0 0) into 0 57.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 57.862 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 57.862 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 57.863 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 57.863 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into 0 57.865 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 57.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 57.865 * [backup-simplify]: Simplify (- 0) into 0 57.866 * [backup-simplify]: Simplify (+ 0 0) into 0 57.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 57.867 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log PI))) into 0 57.868 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 57.869 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 57.869 * [taylor]: Taking taylor expansion of 0 in k 57.869 * [backup-simplify]: Simplify 0 into 0 57.869 * [backup-simplify]: Simplify 0 into 0 57.870 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into 0 57.871 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 57.871 * [backup-simplify]: Simplify 0 into 0 57.874 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 57.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 57.875 * [backup-simplify]: Simplify (- 0) into 0 57.875 * [backup-simplify]: Simplify (+ 0 0) into 0 57.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 57.877 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 57.879 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 57.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 57.882 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 57.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 57.883 * [backup-simplify]: Simplify (- 0) into 0 57.883 * [backup-simplify]: Simplify (+ 0 0) into 0 57.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 57.884 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 57.885 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 57.886 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 57.888 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into 0 57.891 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 57.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 57.892 * [backup-simplify]: Simplify (- 0) into 0 57.892 * [backup-simplify]: Simplify (+ 0 0) into 0 57.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 57.894 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 57.895 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 57.896 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))))) into 0 57.896 * [taylor]: Taking taylor expansion of 0 in k 57.896 * [backup-simplify]: Simplify 0 into 0 57.896 * [backup-simplify]: Simplify 0 into 0 57.896 * [backup-simplify]: Simplify 0 into 0 57.897 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into 0 57.898 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))))) into 0 57.898 * [backup-simplify]: Simplify 0 into 0 57.901 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 57.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 57.901 * [backup-simplify]: Simplify (- 0) into 0 57.902 * [backup-simplify]: Simplify (+ 0 0) into 0 57.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 57.903 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 57.904 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 57.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 57.908 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 57.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 57.908 * [backup-simplify]: Simplify (- 0) into 0 57.908 * [backup-simplify]: Simplify (+ 0 0) into 0 57.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 57.909 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 57.910 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 57.911 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 57.912 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into 0 57.916 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 57.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 57.916 * [backup-simplify]: Simplify (- 0) into 0 57.917 * [backup-simplify]: Simplify (+ 0 0) into 0 57.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 57.919 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 57.921 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 57.923 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))))) into 0 57.923 * [taylor]: Taking taylor expansion of 0 in k 57.923 * [backup-simplify]: Simplify 0 into 0 57.923 * [backup-simplify]: Simplify 0 into 0 57.924 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))) into (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) 57.925 * [backup-simplify]: Simplify (* (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (* (pow 2 (/ (- 1 (/ 1 (- k))) 2)) (pow PI (/ (- 1 (/ 1 (- k))) 2)))) into (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) 57.925 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in (n k) around 0 57.925 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in k 57.925 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 57.925 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 57.925 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 57.925 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 57.925 * [taylor]: Taking taylor expansion of 1/2 in k 57.925 * [backup-simplify]: Simplify 1/2 into 1/2 57.925 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 57.925 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.925 * [taylor]: Taking taylor expansion of k in k 57.925 * [backup-simplify]: Simplify 0 into 0 57.925 * [backup-simplify]: Simplify 1 into 1 57.926 * [backup-simplify]: Simplify (/ 1 1) into 1 57.926 * [taylor]: Taking taylor expansion of 1 in k 57.926 * [backup-simplify]: Simplify 1 into 1 57.926 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 57.926 * [taylor]: Taking taylor expansion of (/ -1 n) in k 57.926 * [taylor]: Taking taylor expansion of -1 in k 57.926 * [backup-simplify]: Simplify -1 into -1 57.926 * [taylor]: Taking taylor expansion of n in k 57.926 * [backup-simplify]: Simplify n into n 57.926 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 57.926 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 57.926 * [backup-simplify]: Simplify (+ 1 0) into 1 57.927 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.927 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 57.927 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 57.927 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in k 57.927 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in k 57.927 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in k 57.927 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in k 57.927 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 57.927 * [taylor]: Taking taylor expansion of 1/2 in k 57.927 * [backup-simplify]: Simplify 1/2 into 1/2 57.927 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 57.927 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.927 * [taylor]: Taking taylor expansion of k in k 57.927 * [backup-simplify]: Simplify 0 into 0 57.927 * [backup-simplify]: Simplify 1 into 1 57.928 * [backup-simplify]: Simplify (/ 1 1) into 1 57.928 * [taylor]: Taking taylor expansion of 1 in k 57.928 * [backup-simplify]: Simplify 1 into 1 57.928 * [taylor]: Taking taylor expansion of (log 2) in k 57.928 * [taylor]: Taking taylor expansion of 2 in k 57.928 * [backup-simplify]: Simplify 2 into 2 57.928 * [backup-simplify]: Simplify (log 2) into (log 2) 57.929 * [backup-simplify]: Simplify (+ 1 0) into 1 57.929 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.930 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 57.931 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 57.931 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 57.931 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 57.931 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 57.931 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 57.931 * [taylor]: Taking taylor expansion of 1/2 in k 57.931 * [backup-simplify]: Simplify 1/2 into 1/2 57.931 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 57.931 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.931 * [taylor]: Taking taylor expansion of k in k 57.931 * [backup-simplify]: Simplify 0 into 0 57.931 * [backup-simplify]: Simplify 1 into 1 57.931 * [backup-simplify]: Simplify (/ 1 1) into 1 57.931 * [taylor]: Taking taylor expansion of 1 in k 57.931 * [backup-simplify]: Simplify 1 into 1 57.931 * [taylor]: Taking taylor expansion of (log PI) in k 57.931 * [taylor]: Taking taylor expansion of PI in k 57.931 * [backup-simplify]: Simplify PI into PI 57.932 * [backup-simplify]: Simplify (log PI) into (log PI) 57.932 * [backup-simplify]: Simplify (+ 1 0) into 1 57.933 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.940 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 57.941 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 57.941 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in n 57.941 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 57.941 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 57.941 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 57.941 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 57.941 * [taylor]: Taking taylor expansion of 1/2 in n 57.941 * [backup-simplify]: Simplify 1/2 into 1/2 57.941 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 57.941 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.941 * [taylor]: Taking taylor expansion of k in n 57.941 * [backup-simplify]: Simplify k into k 57.941 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.941 * [taylor]: Taking taylor expansion of 1 in n 57.941 * [backup-simplify]: Simplify 1 into 1 57.941 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 57.941 * [taylor]: Taking taylor expansion of (/ -1 n) in n 57.941 * [taylor]: Taking taylor expansion of -1 in n 57.941 * [backup-simplify]: Simplify -1 into -1 57.941 * [taylor]: Taking taylor expansion of n in n 57.941 * [backup-simplify]: Simplify 0 into 0 57.941 * [backup-simplify]: Simplify 1 into 1 57.942 * [backup-simplify]: Simplify (/ -1 1) into -1 57.942 * [backup-simplify]: Simplify (log -1) into (log -1) 57.942 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 57.942 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 57.943 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 57.944 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 57.944 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 57.944 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in n 57.944 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in n 57.944 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in n 57.944 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in n 57.944 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 57.944 * [taylor]: Taking taylor expansion of 1/2 in n 57.944 * [backup-simplify]: Simplify 1/2 into 1/2 57.944 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 57.944 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.944 * [taylor]: Taking taylor expansion of k in n 57.944 * [backup-simplify]: Simplify k into k 57.945 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.945 * [taylor]: Taking taylor expansion of 1 in n 57.945 * [backup-simplify]: Simplify 1 into 1 57.945 * [taylor]: Taking taylor expansion of (log 2) in n 57.945 * [taylor]: Taking taylor expansion of 2 in n 57.945 * [backup-simplify]: Simplify 2 into 2 57.945 * [backup-simplify]: Simplify (log 2) into (log 2) 57.945 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 57.945 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 57.946 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) into (* 1/2 (* (log 2) (+ (/ 1 k) 1))) 57.946 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 57.946 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in n 57.946 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in n 57.946 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in n 57.946 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 57.946 * [taylor]: Taking taylor expansion of 1/2 in n 57.946 * [backup-simplify]: Simplify 1/2 into 1/2 57.946 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 57.947 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.947 * [taylor]: Taking taylor expansion of k in n 57.947 * [backup-simplify]: Simplify k into k 57.947 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.947 * [taylor]: Taking taylor expansion of 1 in n 57.947 * [backup-simplify]: Simplify 1 into 1 57.947 * [taylor]: Taking taylor expansion of (log PI) in n 57.947 * [taylor]: Taking taylor expansion of PI in n 57.947 * [backup-simplify]: Simplify PI into PI 57.947 * [backup-simplify]: Simplify (log PI) into (log PI) 57.947 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 57.947 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 57.948 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 57.948 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 57.948 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in n 57.948 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 57.949 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 57.949 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 57.949 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 57.949 * [taylor]: Taking taylor expansion of 1/2 in n 57.949 * [backup-simplify]: Simplify 1/2 into 1/2 57.949 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 57.949 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.949 * [taylor]: Taking taylor expansion of k in n 57.949 * [backup-simplify]: Simplify k into k 57.949 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.949 * [taylor]: Taking taylor expansion of 1 in n 57.949 * [backup-simplify]: Simplify 1 into 1 57.949 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 57.949 * [taylor]: Taking taylor expansion of (/ -1 n) in n 57.949 * [taylor]: Taking taylor expansion of -1 in n 57.949 * [backup-simplify]: Simplify -1 into -1 57.949 * [taylor]: Taking taylor expansion of n in n 57.949 * [backup-simplify]: Simplify 0 into 0 57.949 * [backup-simplify]: Simplify 1 into 1 57.949 * [backup-simplify]: Simplify (/ -1 1) into -1 57.950 * [backup-simplify]: Simplify (log -1) into (log -1) 57.950 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 57.950 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 57.951 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 57.951 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 57.952 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 57.952 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in n 57.952 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in n 57.952 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in n 57.952 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in n 57.952 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 57.952 * [taylor]: Taking taylor expansion of 1/2 in n 57.952 * [backup-simplify]: Simplify 1/2 into 1/2 57.952 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 57.952 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.952 * [taylor]: Taking taylor expansion of k in n 57.952 * [backup-simplify]: Simplify k into k 57.952 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.952 * [taylor]: Taking taylor expansion of 1 in n 57.952 * [backup-simplify]: Simplify 1 into 1 57.952 * [taylor]: Taking taylor expansion of (log 2) in n 57.952 * [taylor]: Taking taylor expansion of 2 in n 57.952 * [backup-simplify]: Simplify 2 into 2 57.953 * [backup-simplify]: Simplify (log 2) into (log 2) 57.953 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 57.953 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 57.953 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) into (* 1/2 (* (log 2) (+ (/ 1 k) 1))) 57.954 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 57.954 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in n 57.954 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in n 57.954 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in n 57.954 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 57.954 * [taylor]: Taking taylor expansion of 1/2 in n 57.954 * [backup-simplify]: Simplify 1/2 into 1/2 57.954 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 57.954 * [taylor]: Taking taylor expansion of (/ 1 k) in n 57.954 * [taylor]: Taking taylor expansion of k in n 57.954 * [backup-simplify]: Simplify k into k 57.954 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 57.954 * [taylor]: Taking taylor expansion of 1 in n 57.954 * [backup-simplify]: Simplify 1 into 1 57.954 * [taylor]: Taking taylor expansion of (log PI) in n 57.954 * [taylor]: Taking taylor expansion of PI in n 57.954 * [backup-simplify]: Simplify PI into PI 57.955 * [backup-simplify]: Simplify (log PI) into (log PI) 57.955 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 57.955 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 57.955 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 57.956 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 57.957 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 57.958 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 57.959 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) in k 57.959 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in k 57.959 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in k 57.959 * [taylor]: Taking taylor expansion of 1/2 in k 57.959 * [backup-simplify]: Simplify 1/2 into 1/2 57.959 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in k 57.959 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 57.959 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.959 * [taylor]: Taking taylor expansion of k in k 57.959 * [backup-simplify]: Simplify 0 into 0 57.959 * [backup-simplify]: Simplify 1 into 1 57.959 * [backup-simplify]: Simplify (/ 1 1) into 1 57.959 * [taylor]: Taking taylor expansion of 1 in k 57.959 * [backup-simplify]: Simplify 1 into 1 57.959 * [taylor]: Taking taylor expansion of (log PI) in k 57.959 * [taylor]: Taking taylor expansion of PI in k 57.959 * [backup-simplify]: Simplify PI into PI 57.960 * [backup-simplify]: Simplify (log PI) into (log PI) 57.960 * [backup-simplify]: Simplify (+ 1 0) into 1 57.961 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 57.962 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 57.963 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 57.963 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) in k 57.963 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) in k 57.963 * [taylor]: Taking taylor expansion of (* 1/2 (* (log 2) (+ (/ 1 k) 1))) in k 57.963 * [taylor]: Taking taylor expansion of 1/2 in k 57.963 * [backup-simplify]: Simplify 1/2 into 1/2 57.963 * [taylor]: Taking taylor expansion of (* (log 2) (+ (/ 1 k) 1)) in k 57.963 * [taylor]: Taking taylor expansion of (log 2) in k 57.963 * [taylor]: Taking taylor expansion of 2 in k 57.963 * [backup-simplify]: Simplify 2 into 2 57.963 * [backup-simplify]: Simplify (log 2) into (log 2) 57.963 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 57.964 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.964 * [taylor]: Taking taylor expansion of k in k 57.964 * [backup-simplify]: Simplify 0 into 0 57.964 * [backup-simplify]: Simplify 1 into 1 57.964 * [backup-simplify]: Simplify (/ 1 1) into 1 57.964 * [taylor]: Taking taylor expansion of 1 in k 57.964 * [backup-simplify]: Simplify 1 into 1 57.964 * [backup-simplify]: Simplify (+ 1 0) into 1 57.967 * [backup-simplify]: Simplify (* (log 2) 1) into (log 2) 57.968 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 57.968 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 57.968 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 57.968 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 57.968 * [taylor]: Taking taylor expansion of 1/2 in k 57.969 * [backup-simplify]: Simplify 1/2 into 1/2 57.969 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 57.969 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 57.969 * [taylor]: Taking taylor expansion of (/ 1 k) in k 57.969 * [taylor]: Taking taylor expansion of k in k 57.969 * [backup-simplify]: Simplify 0 into 0 57.969 * [backup-simplify]: Simplify 1 into 1 57.969 * [backup-simplify]: Simplify (/ 1 1) into 1 57.969 * [taylor]: Taking taylor expansion of 1 in k 57.969 * [backup-simplify]: Simplify 1 into 1 57.969 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 57.969 * [taylor]: Taking taylor expansion of (log -1) in k 57.969 * [taylor]: Taking taylor expansion of -1 in k 57.969 * [backup-simplify]: Simplify -1 into -1 57.970 * [backup-simplify]: Simplify (log -1) into (log -1) 57.970 * [taylor]: Taking taylor expansion of (log n) in k 57.970 * [taylor]: Taking taylor expansion of n in k 57.970 * [backup-simplify]: Simplify n into n 57.970 * [backup-simplify]: Simplify (log n) into (log n) 57.970 * [backup-simplify]: Simplify (+ 1 0) into 1 57.970 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 57.971 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 57.971 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 57.972 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 57.972 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 57.973 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) into (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 57.975 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 57.977 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 57.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 57.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 57.979 * [backup-simplify]: Simplify (+ 0 0) into 0 57.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 57.980 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log PI))) into 0 57.981 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 57.983 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 57.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 57.983 * [backup-simplify]: Simplify (+ 0 0) into 0 57.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 57.984 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log 2))) into 0 57.986 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 57.987 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))) into 0 57.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 57.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 57.989 * [backup-simplify]: Simplify (+ 0 0) into 0 57.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 57.991 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 57.991 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 57.993 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 57.994 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) into 0 57.994 * [taylor]: Taking taylor expansion of 0 in k 57.994 * [backup-simplify]: Simplify 0 into 0 57.994 * [backup-simplify]: Simplify 0 into 0 57.995 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into 0 57.997 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 57.997 * [backup-simplify]: Simplify 0 into 0 58.000 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 58.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.000 * [backup-simplify]: Simplify (+ 0 0) into 0 58.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 58.002 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 58.004 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 58.007 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 58.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.007 * [backup-simplify]: Simplify (+ 0 0) into 0 58.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 58.009 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 58.011 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 58.012 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))))) into 0 58.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 58.016 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 58.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.017 * [backup-simplify]: Simplify (+ 0 0) into 0 58.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 58.019 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 58.020 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 58.022 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 58.023 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) into 0 58.024 * [taylor]: Taking taylor expansion of 0 in k 58.024 * [backup-simplify]: Simplify 0 into 0 58.024 * [backup-simplify]: Simplify 0 into 0 58.024 * [backup-simplify]: Simplify 0 into 0 58.025 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 58.027 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) into 0 58.027 * [backup-simplify]: Simplify 0 into 0 58.033 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 58.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.033 * [backup-simplify]: Simplify (+ 0 0) into 0 58.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 58.035 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 58.037 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 58.039 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 58.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.040 * [backup-simplify]: Simplify (+ 0 0) into 0 58.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 58.041 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 58.042 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 58.043 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))))) into 0 58.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 58.047 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 58.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.047 * [backup-simplify]: Simplify (+ 0 0) into 0 58.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 58.049 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 58.049 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 58.051 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 58.052 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))))) into 0 58.052 * [taylor]: Taking taylor expansion of 0 in k 58.052 * [backup-simplify]: Simplify 0 into 0 58.052 * [backup-simplify]: Simplify 0 into 0 58.053 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))) into (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) 58.053 * * * * [progress]: [ 4 / 4 ] generating series at (2) 58.053 * [backup-simplify]: Simplify (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k)) into (* (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) 58.053 * [approximate]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in (n k) around 0 58.053 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in k 58.053 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) in k 58.053 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 58.053 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 58.054 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 58.054 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 58.054 * [taylor]: Taking taylor expansion of 1/2 in k 58.054 * [backup-simplify]: Simplify 1/2 into 1/2 58.054 * [taylor]: Taking taylor expansion of (- 1 k) in k 58.054 * [taylor]: Taking taylor expansion of 1 in k 58.054 * [backup-simplify]: Simplify 1 into 1 58.054 * [taylor]: Taking taylor expansion of k in k 58.054 * [backup-simplify]: Simplify 0 into 0 58.054 * [backup-simplify]: Simplify 1 into 1 58.054 * [taylor]: Taking taylor expansion of (log PI) in k 58.054 * [taylor]: Taking taylor expansion of PI in k 58.054 * [backup-simplify]: Simplify PI into PI 58.054 * [backup-simplify]: Simplify (log PI) into (log PI) 58.054 * [backup-simplify]: Simplify (- 0) into 0 58.054 * [backup-simplify]: Simplify (+ 1 0) into 1 58.055 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 58.055 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 58.056 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 58.056 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k)))) in k 58.056 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 58.056 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 58.056 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 58.056 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 58.056 * [taylor]: Taking taylor expansion of 1/2 in k 58.056 * [backup-simplify]: Simplify 1/2 into 1/2 58.056 * [taylor]: Taking taylor expansion of (- 1 k) in k 58.056 * [taylor]: Taking taylor expansion of 1 in k 58.056 * [backup-simplify]: Simplify 1 into 1 58.056 * [taylor]: Taking taylor expansion of k in k 58.056 * [backup-simplify]: Simplify 0 into 0 58.056 * [backup-simplify]: Simplify 1 into 1 58.056 * [taylor]: Taking taylor expansion of (log n) in k 58.056 * [taylor]: Taking taylor expansion of n in k 58.056 * [backup-simplify]: Simplify n into n 58.056 * [backup-simplify]: Simplify (log n) into (log n) 58.057 * [backup-simplify]: Simplify (- 0) into 0 58.057 * [backup-simplify]: Simplify (+ 1 0) into 1 58.057 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 58.057 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 58.057 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 58.057 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in k 58.057 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in k 58.057 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in k 58.057 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 58.057 * [taylor]: Taking taylor expansion of 1/2 in k 58.057 * [backup-simplify]: Simplify 1/2 into 1/2 58.057 * [taylor]: Taking taylor expansion of (- 1 k) in k 58.058 * [taylor]: Taking taylor expansion of 1 in k 58.058 * [backup-simplify]: Simplify 1 into 1 58.058 * [taylor]: Taking taylor expansion of k in k 58.058 * [backup-simplify]: Simplify 0 into 0 58.058 * [backup-simplify]: Simplify 1 into 1 58.058 * [taylor]: Taking taylor expansion of (log 2) in k 58.058 * [taylor]: Taking taylor expansion of 2 in k 58.058 * [backup-simplify]: Simplify 2 into 2 58.058 * [backup-simplify]: Simplify (log 2) into (log 2) 58.058 * [backup-simplify]: Simplify (- 0) into 0 58.058 * [backup-simplify]: Simplify (+ 1 0) into 1 58.059 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 58.060 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 58.061 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 58.061 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 58.061 * [taylor]: Taking taylor expansion of (/ 1 k) in k 58.061 * [taylor]: Taking taylor expansion of k in k 58.061 * [backup-simplify]: Simplify 0 into 0 58.061 * [backup-simplify]: Simplify 1 into 1 58.061 * [backup-simplify]: Simplify (/ 1 1) into 1 58.061 * [backup-simplify]: Simplify (sqrt 0) into 0 58.062 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 58.062 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in n 58.062 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) in n 58.062 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in n 58.062 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in n 58.062 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in n 58.062 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 58.062 * [taylor]: Taking taylor expansion of 1/2 in n 58.062 * [backup-simplify]: Simplify 1/2 into 1/2 58.062 * [taylor]: Taking taylor expansion of (- 1 k) in n 58.062 * [taylor]: Taking taylor expansion of 1 in n 58.062 * [backup-simplify]: Simplify 1 into 1 58.062 * [taylor]: Taking taylor expansion of k in n 58.062 * [backup-simplify]: Simplify k into k 58.062 * [taylor]: Taking taylor expansion of (log PI) in n 58.062 * [taylor]: Taking taylor expansion of PI in n 58.062 * [backup-simplify]: Simplify PI into PI 58.063 * [backup-simplify]: Simplify (log PI) into (log PI) 58.063 * [backup-simplify]: Simplify (- k) into (- k) 58.063 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 58.063 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 58.063 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI))) 58.063 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 58.063 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k)))) in n 58.063 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 58.063 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 58.063 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 58.063 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 58.063 * [taylor]: Taking taylor expansion of 1/2 in n 58.063 * [backup-simplify]: Simplify 1/2 into 1/2 58.063 * [taylor]: Taking taylor expansion of (- 1 k) in n 58.063 * [taylor]: Taking taylor expansion of 1 in n 58.064 * [backup-simplify]: Simplify 1 into 1 58.064 * [taylor]: Taking taylor expansion of k in n 58.064 * [backup-simplify]: Simplify k into k 58.064 * [taylor]: Taking taylor expansion of (log n) in n 58.064 * [taylor]: Taking taylor expansion of n in n 58.064 * [backup-simplify]: Simplify 0 into 0 58.064 * [backup-simplify]: Simplify 1 into 1 58.064 * [backup-simplify]: Simplify (log 1) into 0 58.064 * [backup-simplify]: Simplify (- k) into (- k) 58.064 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 58.064 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 58.070 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 58.070 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 58.070 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 58.070 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in n 58.070 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in n 58.070 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in n 58.070 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 58.070 * [taylor]: Taking taylor expansion of 1/2 in n 58.070 * [backup-simplify]: Simplify 1/2 into 1/2 58.070 * [taylor]: Taking taylor expansion of (- 1 k) in n 58.070 * [taylor]: Taking taylor expansion of 1 in n 58.070 * [backup-simplify]: Simplify 1 into 1 58.070 * [taylor]: Taking taylor expansion of k in n 58.070 * [backup-simplify]: Simplify k into k 58.070 * [taylor]: Taking taylor expansion of (log 2) in n 58.070 * [taylor]: Taking taylor expansion of 2 in n 58.070 * [backup-simplify]: Simplify 2 into 2 58.071 * [backup-simplify]: Simplify (log 2) into (log 2) 58.071 * [backup-simplify]: Simplify (- k) into (- k) 58.071 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 58.071 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 58.072 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log 2)) into (* 1/2 (* (- 1 k) (log 2))) 58.072 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log 2)))) into (exp (* 1/2 (* (- 1 k) (log 2)))) 58.072 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 58.072 * [taylor]: Taking taylor expansion of (/ 1 k) in n 58.072 * [taylor]: Taking taylor expansion of k in n 58.072 * [backup-simplify]: Simplify k into k 58.072 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 58.072 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 58.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 58.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 58.073 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in n 58.073 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) in n 58.073 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in n 58.073 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in n 58.073 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in n 58.073 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 58.073 * [taylor]: Taking taylor expansion of 1/2 in n 58.073 * [backup-simplify]: Simplify 1/2 into 1/2 58.073 * [taylor]: Taking taylor expansion of (- 1 k) in n 58.073 * [taylor]: Taking taylor expansion of 1 in n 58.073 * [backup-simplify]: Simplify 1 into 1 58.073 * [taylor]: Taking taylor expansion of k in n 58.073 * [backup-simplify]: Simplify k into k 58.073 * [taylor]: Taking taylor expansion of (log PI) in n 58.073 * [taylor]: Taking taylor expansion of PI in n 58.073 * [backup-simplify]: Simplify PI into PI 58.074 * [backup-simplify]: Simplify (log PI) into (log PI) 58.074 * [backup-simplify]: Simplify (- k) into (- k) 58.074 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 58.074 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 58.074 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI))) 58.075 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 58.075 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k)))) in n 58.075 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 58.075 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 58.075 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 58.075 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 58.075 * [taylor]: Taking taylor expansion of 1/2 in n 58.075 * [backup-simplify]: Simplify 1/2 into 1/2 58.075 * [taylor]: Taking taylor expansion of (- 1 k) in n 58.075 * [taylor]: Taking taylor expansion of 1 in n 58.075 * [backup-simplify]: Simplify 1 into 1 58.075 * [taylor]: Taking taylor expansion of k in n 58.075 * [backup-simplify]: Simplify k into k 58.075 * [taylor]: Taking taylor expansion of (log n) in n 58.075 * [taylor]: Taking taylor expansion of n in n 58.075 * [backup-simplify]: Simplify 0 into 0 58.075 * [backup-simplify]: Simplify 1 into 1 58.076 * [backup-simplify]: Simplify (log 1) into 0 58.076 * [backup-simplify]: Simplify (- k) into (- k) 58.076 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 58.076 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 58.076 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 58.077 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 58.077 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 58.077 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in n 58.077 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in n 58.077 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in n 58.077 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 58.077 * [taylor]: Taking taylor expansion of 1/2 in n 58.077 * [backup-simplify]: Simplify 1/2 into 1/2 58.077 * [taylor]: Taking taylor expansion of (- 1 k) in n 58.077 * [taylor]: Taking taylor expansion of 1 in n 58.077 * [backup-simplify]: Simplify 1 into 1 58.077 * [taylor]: Taking taylor expansion of k in n 58.077 * [backup-simplify]: Simplify k into k 58.077 * [taylor]: Taking taylor expansion of (log 2) in n 58.077 * [taylor]: Taking taylor expansion of 2 in n 58.077 * [backup-simplify]: Simplify 2 into 2 58.077 * [backup-simplify]: Simplify (log 2) into (log 2) 58.078 * [backup-simplify]: Simplify (- k) into (- k) 58.078 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 58.078 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 58.078 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log 2)) into (* 1/2 (* (- 1 k) (log 2))) 58.079 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log 2)))) into (exp (* 1/2 (* (- 1 k) (log 2)))) 58.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 58.079 * [taylor]: Taking taylor expansion of (/ 1 k) in n 58.079 * [taylor]: Taking taylor expansion of k in n 58.079 * [backup-simplify]: Simplify k into k 58.079 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 58.079 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 58.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 58.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 58.080 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log 2))))) into (* (exp (* 1/2 (* (- 1 k) (log 2)))) (exp (* 1/2 (* (- 1 k) (log n))))) 58.081 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (* (exp (* 1/2 (* (- 1 k) (log 2)))) (exp (* 1/2 (* (- 1 k) (log n)))))) into (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 58.082 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) (sqrt (/ 1 k))) into (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) (sqrt (/ 1 k))) 58.082 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) (sqrt (/ 1 k))) in k 58.082 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) in k 58.082 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log 2)))) in k 58.082 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log 2))) in k 58.082 * [taylor]: Taking taylor expansion of 1/2 in k 58.082 * [backup-simplify]: Simplify 1/2 into 1/2 58.082 * [taylor]: Taking taylor expansion of (* (- 1 k) (log 2)) in k 58.082 * [taylor]: Taking taylor expansion of (- 1 k) in k 58.082 * [taylor]: Taking taylor expansion of 1 in k 58.082 * [backup-simplify]: Simplify 1 into 1 58.082 * [taylor]: Taking taylor expansion of k in k 58.082 * [backup-simplify]: Simplify 0 into 0 58.082 * [backup-simplify]: Simplify 1 into 1 58.082 * [taylor]: Taking taylor expansion of (log 2) in k 58.082 * [taylor]: Taking taylor expansion of 2 in k 58.082 * [backup-simplify]: Simplify 2 into 2 58.083 * [backup-simplify]: Simplify (log 2) into (log 2) 58.083 * [backup-simplify]: Simplify (- 0) into 0 58.084 * [backup-simplify]: Simplify (+ 1 0) into 1 58.084 * [backup-simplify]: Simplify (* 1 (log 2)) into (log 2) 58.085 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 58.087 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 58.087 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))) in k 58.087 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log PI)))) in k 58.087 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in k 58.087 * [taylor]: Taking taylor expansion of 1/2 in k 58.087 * [backup-simplify]: Simplify 1/2 into 1/2 58.087 * [taylor]: Taking taylor expansion of (* (- 1 k) (log PI)) in k 58.087 * [taylor]: Taking taylor expansion of (- 1 k) in k 58.087 * [taylor]: Taking taylor expansion of 1 in k 58.087 * [backup-simplify]: Simplify 1 into 1 58.087 * [taylor]: Taking taylor expansion of k in k 58.087 * [backup-simplify]: Simplify 0 into 0 58.088 * [backup-simplify]: Simplify 1 into 1 58.088 * [taylor]: Taking taylor expansion of (log PI) in k 58.088 * [taylor]: Taking taylor expansion of PI in k 58.088 * [backup-simplify]: Simplify PI into PI 58.088 * [backup-simplify]: Simplify (log PI) into (log PI) 58.088 * [backup-simplify]: Simplify (- 0) into 0 58.089 * [backup-simplify]: Simplify (+ 1 0) into 1 58.090 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 58.090 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 58.092 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 58.092 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 58.092 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 58.092 * [taylor]: Taking taylor expansion of 1/2 in k 58.092 * [backup-simplify]: Simplify 1/2 into 1/2 58.092 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 58.092 * [taylor]: Taking taylor expansion of (- 1 k) in k 58.092 * [taylor]: Taking taylor expansion of 1 in k 58.092 * [backup-simplify]: Simplify 1 into 1 58.092 * [taylor]: Taking taylor expansion of k in k 58.092 * [backup-simplify]: Simplify 0 into 0 58.092 * [backup-simplify]: Simplify 1 into 1 58.092 * [taylor]: Taking taylor expansion of (log n) in k 58.092 * [taylor]: Taking taylor expansion of n in k 58.092 * [backup-simplify]: Simplify n into n 58.092 * [backup-simplify]: Simplify (log n) into (log n) 58.093 * [backup-simplify]: Simplify (- 0) into 0 58.093 * [backup-simplify]: Simplify (+ 1 0) into 1 58.093 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 58.093 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 58.093 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 58.093 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 58.093 * [taylor]: Taking taylor expansion of (/ 1 k) in k 58.093 * [taylor]: Taking taylor expansion of k in k 58.093 * [backup-simplify]: Simplify 0 into 0 58.093 * [backup-simplify]: Simplify 1 into 1 58.094 * [backup-simplify]: Simplify (/ 1 1) into 1 58.094 * [backup-simplify]: Simplify (sqrt 0) into 0 58.096 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 58.096 * [backup-simplify]: Simplify (* (pow PI 1/2) (pow n 1/2)) into (sqrt (* n PI)) 58.097 * [backup-simplify]: Simplify (* (pow 2 1/2) (sqrt (* n PI))) into (sqrt (* PI (* n 2))) 58.097 * [backup-simplify]: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 58.097 * [backup-simplify]: Simplify 0 into 0 58.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 58.099 * [backup-simplify]: Simplify (- 0) into 0 58.099 * [backup-simplify]: Simplify (+ 0 0) into 0 58.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 58.100 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log 2))) into 0 58.101 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 58.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 58.103 * [backup-simplify]: Simplify (- 0) into 0 58.104 * [backup-simplify]: Simplify (+ 0 0) into 0 58.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 58.105 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 58.105 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 58.106 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 58.106 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log n)))) 0) (* 0 (exp (* 1/2 (* (- 1 k) (log 2)))))) into 0 58.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 58.108 * [backup-simplify]: Simplify (- 0) into 0 58.109 * [backup-simplify]: Simplify (+ 0 0) into 0 58.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 58.110 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log PI))) into 0 58.111 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 58.112 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log 2)))) (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 58.113 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 58.113 * [taylor]: Taking taylor expansion of 0 in k 58.113 * [backup-simplify]: Simplify 0 into 0 58.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 58.114 * [backup-simplify]: Simplify (- 1) into -1 58.115 * [backup-simplify]: Simplify (+ 0 -1) into -1 58.115 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 58.115 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 58.116 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 58.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 58.117 * [backup-simplify]: Simplify (- 1) into -1 58.118 * [backup-simplify]: Simplify (+ 0 -1) into -1 58.120 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log PI))) into (- (log PI)) 58.123 * [backup-simplify]: Simplify (+ (* 1/2 (- (log PI))) (* 0 (log PI))) into (- (* 1/2 (log PI))) 58.132 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 58.135 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/2 (* (log PI) (sqrt PI))) (pow n 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n)))))) 58.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 58.137 * [backup-simplify]: Simplify (- 1) into -1 58.137 * [backup-simplify]: Simplify (+ 0 -1) into -1 58.139 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log 2))) into (- (log 2)) 58.142 * [backup-simplify]: Simplify (+ (* 1/2 (- (log 2))) (* 0 (log 2))) into (- (* 1/2 (log 2))) 58.151 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 58.155 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* -1/2 (* (log 2) (sqrt 2))) (sqrt (* n PI)))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 58.158 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 58.159 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 58.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.160 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 58.163 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 58.163 * [backup-simplify]: Simplify (- 0) into 0 58.164 * [backup-simplify]: Simplify (+ 0 0) into 0 58.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 58.166 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 58.167 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 58.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 58.171 * [backup-simplify]: Simplify (- 0) into 0 58.171 * [backup-simplify]: Simplify (+ 0 0) into 0 58.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 58.173 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 58.173 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 58.175 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 58.176 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log 2))))))) into 0 58.179 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 58.179 * [backup-simplify]: Simplify (- 0) into 0 58.180 * [backup-simplify]: Simplify (+ 0 0) into 0 58.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 58.182 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 58.183 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 58.185 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log 2)))) (exp (* 1/2 (* (- 1 k) (log n)))))))) into 0 58.187 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 58.187 * [taylor]: Taking taylor expansion of 0 in k 58.187 * [backup-simplify]: Simplify 0 into 0 58.187 * [backup-simplify]: Simplify 0 into 0 58.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 58.191 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 58.192 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 58.193 * [backup-simplify]: Simplify (- 0) into 0 58.193 * [backup-simplify]: Simplify (+ 0 0) into 0 58.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 58.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 58.196 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 58.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 58.199 * [backup-simplify]: Simplify (- 0) into 0 58.200 * [backup-simplify]: Simplify (+ 0 0) into 0 58.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log PI)))) into 0 58.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log PI))) (* 0 (log PI)))) into 0 58.216 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 58.220 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* -1/2 (* (sqrt n) (log n)))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow n 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))))) 58.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 58.222 * [backup-simplify]: Simplify (- 0) into 0 58.222 * [backup-simplify]: Simplify (+ 0 0) into 0 58.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log 2)))) into 0 58.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log 2))) (* 0 (log 2)))) into 0 58.229 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 58.234 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n))))))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (sqrt (* n PI))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 58.244 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) 58.249 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) 58.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 58.256 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 58.257 * [backup-simplify]: Simplify (- 0) into 0 58.257 * [backup-simplify]: Simplify (+ 0 0) into 0 58.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 58.259 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 58.261 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 58.267 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 58.267 * [backup-simplify]: Simplify (- 0) into 0 58.268 * [backup-simplify]: Simplify (+ 0 0) into 0 58.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 58.270 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 58.270 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 58.272 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 58.274 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log 2)))))))) into 0 58.280 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 58.280 * [backup-simplify]: Simplify (- 0) into 0 58.280 * [backup-simplify]: Simplify (+ 0 0) into 0 58.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 58.283 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 58.285 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 58.287 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log 2)))) (exp (* 1/2 (* (- 1 k) (log n))))))))) into 0 58.289 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 58.289 * [taylor]: Taking taylor expansion of 0 in k 58.289 * [backup-simplify]: Simplify 0 into 0 58.289 * [backup-simplify]: Simplify 0 into 0 58.289 * [backup-simplify]: Simplify 0 into 0 58.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 58.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 58.297 * [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 58.297 * [backup-simplify]: Simplify (- 0) into 0 58.298 * [backup-simplify]: Simplify (+ 0 0) into 0 58.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log n))))) into 0 58.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log n))) (* 0 (log n))))) into 0 58.300 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 58.303 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 58.303 * [backup-simplify]: Simplify (- 0) into 0 58.304 * [backup-simplify]: Simplify (+ 0 0) into 0 58.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log PI))))) into 0 58.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log PI))) (* 0 (log PI))))) into 0 58.314 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 58.325 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* -1/48 (* (sqrt n) (pow (log n) 3)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/48 (* (pow (log PI) 3) (sqrt PI))) (pow n 1/2))))) into (- (+ (* 1/48 (* (pow (log PI) 3) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log PI) 2) (log n)) (sqrt (* PI n)))) (+ (* 1/48 (* (sqrt (* n PI)) (pow (log n) 3))) (* 1/16 (* (* (log PI) (pow (log n) 2)) (sqrt (* PI n)))))))) 58.329 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 58.329 * [backup-simplify]: Simplify (- 0) into 0 58.329 * [backup-simplify]: Simplify (+ 0 0) into 0 58.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log 2))))) into 0 58.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log 2))) (* 0 (log 2))))) into 0 58.339 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 58.350 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (- (+ (* 1/48 (* (pow (log PI) 3) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log PI) 2) (log n)) (sqrt (* PI n)))) (+ (* 1/48 (* (sqrt (* n PI)) (pow (log n) 3))) (* 1/16 (* (* (log PI) (pow (log n) 2)) (sqrt (* PI n))))))))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n))))))) (+ (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (sqrt (* n PI)))))) into (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))))))))))))) 58.373 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) +nan.0) (* (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))))))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) 58.385 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) 58.409 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) (* k 1)) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) into (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))))))))))))) 58.409 * [backup-simplify]: Simplify (/ (* (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (* (pow 2 (/ (- 1 (/ 1 k)) 2)) (pow PI (/ (- 1 (/ 1 k)) 2)))) (sqrt (/ 1 k))) into (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) 58.409 * [approximate]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in (n k) around 0 58.409 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in k 58.409 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in k 58.409 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 58.409 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 58.409 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 58.409 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 58.409 * [taylor]: Taking taylor expansion of 1/2 in k 58.409 * [backup-simplify]: Simplify 1/2 into 1/2 58.409 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 58.409 * [taylor]: Taking taylor expansion of 1 in k 58.409 * [backup-simplify]: Simplify 1 into 1 58.409 * [taylor]: Taking taylor expansion of (/ 1 k) in k 58.409 * [taylor]: Taking taylor expansion of k in k 58.410 * [backup-simplify]: Simplify 0 into 0 58.410 * [backup-simplify]: Simplify 1 into 1 58.410 * [backup-simplify]: Simplify (/ 1 1) into 1 58.410 * [taylor]: Taking taylor expansion of (log PI) in k 58.410 * [taylor]: Taking taylor expansion of PI in k 58.410 * [backup-simplify]: Simplify PI into PI 58.410 * [backup-simplify]: Simplify (log PI) into (log PI) 58.411 * [backup-simplify]: Simplify (- 1) into -1 58.411 * [backup-simplify]: Simplify (+ 0 -1) into -1 58.411 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 58.412 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 58.412 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 58.412 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in k 58.412 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 58.412 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 58.412 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 58.412 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 58.412 * [taylor]: Taking taylor expansion of 1/2 in k 58.412 * [backup-simplify]: Simplify 1/2 into 1/2 58.412 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 58.412 * [taylor]: Taking taylor expansion of 1 in k 58.412 * [backup-simplify]: Simplify 1 into 1 58.412 * [taylor]: Taking taylor expansion of (/ 1 k) in k 58.412 * [taylor]: Taking taylor expansion of k in k 58.412 * [backup-simplify]: Simplify 0 into 0 58.412 * [backup-simplify]: Simplify 1 into 1 58.413 * [backup-simplify]: Simplify (/ 1 1) into 1 58.413 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 58.413 * [taylor]: Taking taylor expansion of (/ 1 n) in k 58.413 * [taylor]: Taking taylor expansion of n in k 58.413 * [backup-simplify]: Simplify n into n 58.413 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 58.413 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 58.413 * [backup-simplify]: Simplify (- 1) into -1 58.413 * [backup-simplify]: Simplify (+ 0 -1) into -1 58.414 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 58.414 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 58.414 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 58.414 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in k 58.414 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in k 58.414 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in k 58.414 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 58.414 * [taylor]: Taking taylor expansion of 1/2 in k 58.414 * [backup-simplify]: Simplify 1/2 into 1/2 58.414 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 58.414 * [taylor]: Taking taylor expansion of 1 in k 58.414 * [backup-simplify]: Simplify 1 into 1 58.414 * [taylor]: Taking taylor expansion of (/ 1 k) in k 58.414 * [taylor]: Taking taylor expansion of k in k 58.414 * [backup-simplify]: Simplify 0 into 0 58.414 * [backup-simplify]: Simplify 1 into 1 58.414 * [backup-simplify]: Simplify (/ 1 1) into 1 58.415 * [taylor]: Taking taylor expansion of (log 2) in k 58.415 * [taylor]: Taking taylor expansion of 2 in k 58.415 * [backup-simplify]: Simplify 2 into 2 58.415 * [backup-simplify]: Simplify (log 2) into (log 2) 58.415 * [backup-simplify]: Simplify (- 1) into -1 58.415 * [backup-simplify]: Simplify (+ 0 -1) into -1 58.416 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 58.416 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 58.416 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 58.416 * [taylor]: Taking taylor expansion of (sqrt k) in k 58.416 * [taylor]: Taking taylor expansion of k in k 58.417 * [backup-simplify]: Simplify 0 into 0 58.417 * [backup-simplify]: Simplify 1 into 1 58.417 * [backup-simplify]: Simplify (sqrt 0) into 0 58.418 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 58.418 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in n 58.418 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in n 58.418 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in n 58.418 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in n 58.418 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in n 58.418 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 58.418 * [taylor]: Taking taylor expansion of 1/2 in n 58.418 * [backup-simplify]: Simplify 1/2 into 1/2 58.418 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 58.418 * [taylor]: Taking taylor expansion of 1 in n 58.418 * [backup-simplify]: Simplify 1 into 1 58.418 * [taylor]: Taking taylor expansion of (/ 1 k) in n 58.418 * [taylor]: Taking taylor expansion of k in n 58.418 * [backup-simplify]: Simplify k into k 58.418 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 58.418 * [taylor]: Taking taylor expansion of (log PI) in n 58.418 * [taylor]: Taking taylor expansion of PI in n 58.418 * [backup-simplify]: Simplify PI into PI 58.418 * [backup-simplify]: Simplify (log PI) into (log PI) 58.418 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 58.418 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 58.419 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 58.419 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 58.419 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 58.419 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in n 58.419 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 58.419 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 58.419 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 58.419 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 58.419 * [taylor]: Taking taylor expansion of 1/2 in n 58.419 * [backup-simplify]: Simplify 1/2 into 1/2 58.419 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 58.419 * [taylor]: Taking taylor expansion of 1 in n 58.419 * [backup-simplify]: Simplify 1 into 1 58.419 * [taylor]: Taking taylor expansion of (/ 1 k) in n 58.419 * [taylor]: Taking taylor expansion of k in n 58.419 * [backup-simplify]: Simplify k into k 58.419 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 58.419 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 58.419 * [taylor]: Taking taylor expansion of (/ 1 n) in n 58.420 * [taylor]: Taking taylor expansion of n in n 58.420 * [backup-simplify]: Simplify 0 into 0 58.420 * [backup-simplify]: Simplify 1 into 1 58.420 * [backup-simplify]: Simplify (/ 1 1) into 1 58.420 * [backup-simplify]: Simplify (log 1) into 0 58.420 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 58.420 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 58.420 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 58.420 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 58.421 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 58.421 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 58.421 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in n 58.421 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in n 58.421 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in n 58.421 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 58.421 * [taylor]: Taking taylor expansion of 1/2 in n 58.421 * [backup-simplify]: Simplify 1/2 into 1/2 58.421 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 58.421 * [taylor]: Taking taylor expansion of 1 in n 58.421 * [backup-simplify]: Simplify 1 into 1 58.421 * [taylor]: Taking taylor expansion of (/ 1 k) in n 58.421 * [taylor]: Taking taylor expansion of k in n 58.421 * [backup-simplify]: Simplify k into k 58.421 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 58.421 * [taylor]: Taking taylor expansion of (log 2) in n 58.421 * [taylor]: Taking taylor expansion of 2 in n 58.421 * [backup-simplify]: Simplify 2 into 2 58.421 * [backup-simplify]: Simplify (log 2) into (log 2) 58.421 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 58.421 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 58.421 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 58.422 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log 2)) into (* 1/2 (* (log 2) (- 1 (/ 1 k)))) 58.422 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 58.422 * [taylor]: Taking taylor expansion of (sqrt k) in n 58.422 * [taylor]: Taking taylor expansion of k in n 58.422 * [backup-simplify]: Simplify k into k 58.422 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 58.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 58.422 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in n 58.422 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in n 58.422 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in n 58.422 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in n 58.422 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in n 58.422 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 58.422 * [taylor]: Taking taylor expansion of 1/2 in n 58.422 * [backup-simplify]: Simplify 1/2 into 1/2 58.422 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 58.422 * [taylor]: Taking taylor expansion of 1 in n 58.422 * [backup-simplify]: Simplify 1 into 1 58.422 * [taylor]: Taking taylor expansion of (/ 1 k) in n 58.422 * [taylor]: Taking taylor expansion of k in n 58.422 * [backup-simplify]: Simplify k into k 58.422 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 58.422 * [taylor]: Taking taylor expansion of (log PI) in n 58.422 * [taylor]: Taking taylor expansion of PI in n 58.422 * [backup-simplify]: Simplify PI into PI 58.423 * [backup-simplify]: Simplify (log PI) into (log PI) 58.423 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 58.423 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 58.423 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 58.423 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 58.424 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 58.424 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in n 58.424 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 58.424 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 58.424 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 58.424 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 58.424 * [taylor]: Taking taylor expansion of 1/2 in n 58.424 * [backup-simplify]: Simplify 1/2 into 1/2 58.424 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 58.424 * [taylor]: Taking taylor expansion of 1 in n 58.424 * [backup-simplify]: Simplify 1 into 1 58.424 * [taylor]: Taking taylor expansion of (/ 1 k) in n 58.424 * [taylor]: Taking taylor expansion of k in n 58.424 * [backup-simplify]: Simplify k into k 58.424 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 58.424 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 58.424 * [taylor]: Taking taylor expansion of (/ 1 n) in n 58.424 * [taylor]: Taking taylor expansion of n in n 58.424 * [backup-simplify]: Simplify 0 into 0 58.424 * [backup-simplify]: Simplify 1 into 1 58.424 * [backup-simplify]: Simplify (/ 1 1) into 1 58.424 * [backup-simplify]: Simplify (log 1) into 0 58.424 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 58.424 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 58.425 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 58.425 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 58.425 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 58.425 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 58.425 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in n 58.425 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in n 58.425 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in n 58.425 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 58.425 * [taylor]: Taking taylor expansion of 1/2 in n 58.425 * [backup-simplify]: Simplify 1/2 into 1/2 58.425 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 58.425 * [taylor]: Taking taylor expansion of 1 in n 58.425 * [backup-simplify]: Simplify 1 into 1 58.425 * [taylor]: Taking taylor expansion of (/ 1 k) in n 58.425 * [taylor]: Taking taylor expansion of k in n 58.425 * [backup-simplify]: Simplify k into k 58.425 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 58.425 * [taylor]: Taking taylor expansion of (log 2) in n 58.425 * [taylor]: Taking taylor expansion of 2 in n 58.425 * [backup-simplify]: Simplify 2 into 2 58.426 * [backup-simplify]: Simplify (log 2) into (log 2) 58.426 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 58.426 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 58.426 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 58.426 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log 2)) into (* 1/2 (* (log 2) (- 1 (/ 1 k)))) 58.426 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 58.426 * [taylor]: Taking taylor expansion of (sqrt k) in n 58.426 * [taylor]: Taking taylor expansion of k in n 58.426 * [backup-simplify]: Simplify k into k 58.426 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 58.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 58.427 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) into (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 58.428 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 58.428 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (sqrt k)) into (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (sqrt k)) 58.428 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (sqrt k)) in k 58.428 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) in k 58.428 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in k 58.428 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in k 58.428 * [taylor]: Taking taylor expansion of 1/2 in k 58.428 * [backup-simplify]: Simplify 1/2 into 1/2 58.429 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in k 58.429 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 58.429 * [taylor]: Taking taylor expansion of 1 in k 58.429 * [backup-simplify]: Simplify 1 into 1 58.429 * [taylor]: Taking taylor expansion of (/ 1 k) in k 58.429 * [taylor]: Taking taylor expansion of k in k 58.429 * [backup-simplify]: Simplify 0 into 0 58.429 * [backup-simplify]: Simplify 1 into 1 58.429 * [backup-simplify]: Simplify (/ 1 1) into 1 58.429 * [taylor]: Taking taylor expansion of (log PI) in k 58.429 * [taylor]: Taking taylor expansion of PI in k 58.429 * [backup-simplify]: Simplify PI into PI 58.429 * [backup-simplify]: Simplify (log PI) into (log PI) 58.429 * [backup-simplify]: Simplify (- 1) into -1 58.430 * [backup-simplify]: Simplify (+ 0 -1) into -1 58.430 * [backup-simplify]: Simplify (* -1 (log PI)) into (* -1 (log PI)) 58.431 * [backup-simplify]: Simplify (* 1/2 (* -1 (log PI))) into (* -1/2 (log PI)) 58.431 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 58.432 * [taylor]: Taking taylor expansion of (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) in k 58.432 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 58.432 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 58.432 * [taylor]: Taking taylor expansion of -1/2 in k 58.432 * [backup-simplify]: Simplify -1/2 into -1/2 58.432 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 58.432 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 58.432 * [taylor]: Taking taylor expansion of 1 in k 58.432 * [backup-simplify]: Simplify 1 into 1 58.432 * [taylor]: Taking taylor expansion of (/ 1 k) in k 58.432 * [taylor]: Taking taylor expansion of k in k 58.432 * [backup-simplify]: Simplify 0 into 0 58.432 * [backup-simplify]: Simplify 1 into 1 58.432 * [backup-simplify]: Simplify (/ 1 1) into 1 58.432 * [taylor]: Taking taylor expansion of (log n) in k 58.432 * [taylor]: Taking taylor expansion of n in k 58.432 * [backup-simplify]: Simplify n into n 58.432 * [backup-simplify]: Simplify (log n) into (log n) 58.432 * [backup-simplify]: Simplify (- 1) into -1 58.433 * [backup-simplify]: Simplify (+ 0 -1) into -1 58.433 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 58.433 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 58.433 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 58.433 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) in k 58.433 * [taylor]: Taking taylor expansion of (* 1/2 (* (log 2) (- 1 (/ 1 k)))) in k 58.433 * [taylor]: Taking taylor expansion of 1/2 in k 58.433 * [backup-simplify]: Simplify 1/2 into 1/2 58.433 * [taylor]: Taking taylor expansion of (* (log 2) (- 1 (/ 1 k))) in k 58.433 * [taylor]: Taking taylor expansion of (log 2) in k 58.433 * [taylor]: Taking taylor expansion of 2 in k 58.433 * [backup-simplify]: Simplify 2 into 2 58.433 * [backup-simplify]: Simplify (log 2) into (log 2) 58.433 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 58.433 * [taylor]: Taking taylor expansion of 1 in k 58.433 * [backup-simplify]: Simplify 1 into 1 58.433 * [taylor]: Taking taylor expansion of (/ 1 k) in k 58.433 * [taylor]: Taking taylor expansion of k in k 58.433 * [backup-simplify]: Simplify 0 into 0 58.433 * [backup-simplify]: Simplify 1 into 1 58.433 * [backup-simplify]: Simplify (/ 1 1) into 1 58.434 * [backup-simplify]: Simplify (- 1) into -1 58.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 58.435 * [backup-simplify]: Simplify (* (log 2) -1) into (* -1 (log 2)) 58.435 * [backup-simplify]: Simplify (* 1/2 (* -1 (log 2))) into (* -1/2 (log 2)) 58.436 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 58.436 * [taylor]: Taking taylor expansion of (sqrt k) in k 58.436 * [taylor]: Taking taylor expansion of k in k 58.436 * [backup-simplify]: Simplify 0 into 0 58.436 * [backup-simplify]: Simplify 1 into 1 58.436 * [backup-simplify]: Simplify (sqrt 0) into 0 58.437 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 58.437 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) into (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 58.438 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 58.439 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) into 0 58.439 * [backup-simplify]: Simplify 0 into 0 58.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 58.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 58.440 * [backup-simplify]: Simplify (- 0) into 0 58.440 * [backup-simplify]: Simplify (+ 0 0) into 0 58.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 58.441 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log 2))) into 0 58.442 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 58.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 58.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 58.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 58.444 * [backup-simplify]: Simplify (- 0) into 0 58.444 * [backup-simplify]: Simplify (+ 0 0) into 0 58.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 58.445 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 58.445 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 58.446 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 58.447 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into 0 58.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 58.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 58.449 * [backup-simplify]: Simplify (- 0) into 0 58.449 * [backup-simplify]: Simplify (+ 0 0) into 0 58.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 58.451 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log PI))) into 0 58.452 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 58.453 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 58.454 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) (* 0 (sqrt k))) into 0 58.454 * [taylor]: Taking taylor expansion of 0 in k 58.454 * [backup-simplify]: Simplify 0 into 0 58.454 * [backup-simplify]: Simplify 0 into 0 58.455 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into 0 58.456 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 58.458 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 58.459 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 58.460 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 58.463 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 58.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.464 * [backup-simplify]: Simplify (- 0) into 0 58.464 * [backup-simplify]: Simplify (+ 0 0) into 0 58.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 58.466 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 58.468 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 58.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 58.471 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 58.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.472 * [backup-simplify]: Simplify (- 0) into 0 58.473 * [backup-simplify]: Simplify (+ 0 0) into 0 58.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 58.474 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 58.474 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 58.476 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 58.477 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into 0 58.480 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 58.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.481 * [backup-simplify]: Simplify (- 0) into 0 58.482 * [backup-simplify]: Simplify (+ 0 0) into 0 58.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 58.483 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 58.485 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 58.487 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))))) into 0 58.488 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 58.488 * [taylor]: Taking taylor expansion of 0 in k 58.488 * [backup-simplify]: Simplify 0 into 0 58.488 * [backup-simplify]: Simplify 0 into 0 58.488 * [backup-simplify]: Simplify 0 into 0 58.491 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 58.492 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into 0 58.494 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))))) into 0 58.496 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 58.497 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 58.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 58.503 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 58.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.504 * [backup-simplify]: Simplify (- 0) into 0 58.504 * [backup-simplify]: Simplify (+ 0 0) into 0 58.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 58.507 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 58.509 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 58.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 58.516 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 58.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.517 * [backup-simplify]: Simplify (- 0) into 0 58.517 * [backup-simplify]: Simplify (+ 0 0) into 0 58.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 58.519 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 58.520 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 58.521 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 58.529 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into 0 58.535 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 58.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.536 * [backup-simplify]: Simplify (- 0) into 0 58.536 * [backup-simplify]: Simplify (+ 0 0) into 0 58.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 58.539 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 58.541 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 58.543 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))))) into 0 58.545 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 58.545 * [taylor]: Taking taylor expansion of 0 in k 58.545 * [backup-simplify]: Simplify 0 into 0 58.545 * [backup-simplify]: Simplify 0 into 0 58.546 * [backup-simplify]: Simplify 0 into 0 58.546 * [backup-simplify]: Simplify 0 into 0 58.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 58.551 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into 0 58.552 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))))) into 0 58.553 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 58.554 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 58.557 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k))))))) 58.557 * [backup-simplify]: Simplify (/ (* (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (* (pow 2 (/ (- 1 (/ 1 (- k))) 2)) (pow PI (/ (- 1 (/ 1 (- k))) 2)))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) 58.557 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in (n k) around 0 58.557 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in k 58.557 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in k 58.557 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 58.557 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 58.557 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 58.558 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 58.558 * [taylor]: Taking taylor expansion of 1/2 in k 58.558 * [backup-simplify]: Simplify 1/2 into 1/2 58.558 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 58.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 58.558 * [taylor]: Taking taylor expansion of k in k 58.558 * [backup-simplify]: Simplify 0 into 0 58.558 * [backup-simplify]: Simplify 1 into 1 58.558 * [backup-simplify]: Simplify (/ 1 1) into 1 58.558 * [taylor]: Taking taylor expansion of 1 in k 58.558 * [backup-simplify]: Simplify 1 into 1 58.558 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 58.558 * [taylor]: Taking taylor expansion of (/ -1 n) in k 58.558 * [taylor]: Taking taylor expansion of -1 in k 58.558 * [backup-simplify]: Simplify -1 into -1 58.558 * [taylor]: Taking taylor expansion of n in k 58.558 * [backup-simplify]: Simplify n into n 58.558 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 58.558 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 58.558 * [backup-simplify]: Simplify (+ 1 0) into 1 58.559 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 58.559 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 58.559 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 58.559 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in k 58.559 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in k 58.559 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in k 58.559 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in k 58.559 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 58.559 * [taylor]: Taking taylor expansion of 1/2 in k 58.559 * [backup-simplify]: Simplify 1/2 into 1/2 58.559 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 58.559 * [taylor]: Taking taylor expansion of (/ 1 k) in k 58.559 * [taylor]: Taking taylor expansion of k in k 58.559 * [backup-simplify]: Simplify 0 into 0 58.559 * [backup-simplify]: Simplify 1 into 1 58.559 * [backup-simplify]: Simplify (/ 1 1) into 1 58.559 * [taylor]: Taking taylor expansion of 1 in k 58.559 * [backup-simplify]: Simplify 1 into 1 58.559 * [taylor]: Taking taylor expansion of (log 2) in k 58.559 * [taylor]: Taking taylor expansion of 2 in k 58.559 * [backup-simplify]: Simplify 2 into 2 58.560 * [backup-simplify]: Simplify (log 2) into (log 2) 58.560 * [backup-simplify]: Simplify (+ 1 0) into 1 58.560 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 58.561 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 58.561 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 58.561 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 58.561 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 58.561 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 58.561 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 58.561 * [taylor]: Taking taylor expansion of 1/2 in k 58.561 * [backup-simplify]: Simplify 1/2 into 1/2 58.561 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 58.561 * [taylor]: Taking taylor expansion of (/ 1 k) in k 58.561 * [taylor]: Taking taylor expansion of k in k 58.561 * [backup-simplify]: Simplify 0 into 0 58.561 * [backup-simplify]: Simplify 1 into 1 58.561 * [backup-simplify]: Simplify (/ 1 1) into 1 58.562 * [taylor]: Taking taylor expansion of 1 in k 58.562 * [backup-simplify]: Simplify 1 into 1 58.562 * [taylor]: Taking taylor expansion of (log PI) in k 58.562 * [taylor]: Taking taylor expansion of PI in k 58.562 * [backup-simplify]: Simplify PI into PI 58.562 * [backup-simplify]: Simplify (log PI) into (log PI) 58.562 * [backup-simplify]: Simplify (+ 1 0) into 1 58.562 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 58.563 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 58.563 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 58.563 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 58.563 * [taylor]: Taking taylor expansion of (/ -1 k) in k 58.563 * [taylor]: Taking taylor expansion of -1 in k 58.563 * [backup-simplify]: Simplify -1 into -1 58.563 * [taylor]: Taking taylor expansion of k in k 58.563 * [backup-simplify]: Simplify 0 into 0 58.563 * [backup-simplify]: Simplify 1 into 1 58.564 * [backup-simplify]: Simplify (/ -1 1) into -1 58.564 * [backup-simplify]: Simplify (sqrt 0) into 0 58.565 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 58.565 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 58.566 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) 58.567 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) 58.567 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in n 58.567 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in n 58.567 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 58.567 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 58.567 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 58.567 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 58.567 * [taylor]: Taking taylor expansion of 1/2 in n 58.567 * [backup-simplify]: Simplify 1/2 into 1/2 58.567 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 58.567 * [taylor]: Taking taylor expansion of (/ 1 k) in n 58.567 * [taylor]: Taking taylor expansion of k in n 58.567 * [backup-simplify]: Simplify k into k 58.567 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 58.567 * [taylor]: Taking taylor expansion of 1 in n 58.567 * [backup-simplify]: Simplify 1 into 1 58.567 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 58.567 * [taylor]: Taking taylor expansion of (/ -1 n) in n 58.567 * [taylor]: Taking taylor expansion of -1 in n 58.567 * [backup-simplify]: Simplify -1 into -1 58.567 * [taylor]: Taking taylor expansion of n in n 58.567 * [backup-simplify]: Simplify 0 into 0 58.567 * [backup-simplify]: Simplify 1 into 1 58.567 * [backup-simplify]: Simplify (/ -1 1) into -1 58.568 * [backup-simplify]: Simplify (log -1) into (log -1) 58.568 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 58.568 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 58.569 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 58.569 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 58.569 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 58.569 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in n 58.569 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in n 58.569 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in n 58.569 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in n 58.569 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 58.569 * [taylor]: Taking taylor expansion of 1/2 in n 58.569 * [backup-simplify]: Simplify 1/2 into 1/2 58.569 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 58.569 * [taylor]: Taking taylor expansion of (/ 1 k) in n 58.569 * [taylor]: Taking taylor expansion of k in n 58.569 * [backup-simplify]: Simplify k into k 58.569 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 58.569 * [taylor]: Taking taylor expansion of 1 in n 58.570 * [backup-simplify]: Simplify 1 into 1 58.570 * [taylor]: Taking taylor expansion of (log 2) in n 58.570 * [taylor]: Taking taylor expansion of 2 in n 58.570 * [backup-simplify]: Simplify 2 into 2 58.570 * [backup-simplify]: Simplify (log 2) into (log 2) 58.570 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 58.570 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 58.570 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) into (* 1/2 (* (log 2) (+ (/ 1 k) 1))) 58.571 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 58.571 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in n 58.571 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in n 58.571 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in n 58.571 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 58.571 * [taylor]: Taking taylor expansion of 1/2 in n 58.571 * [backup-simplify]: Simplify 1/2 into 1/2 58.571 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 58.571 * [taylor]: Taking taylor expansion of (/ 1 k) in n 58.571 * [taylor]: Taking taylor expansion of k in n 58.571 * [backup-simplify]: Simplify k into k 58.571 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 58.571 * [taylor]: Taking taylor expansion of 1 in n 58.571 * [backup-simplify]: Simplify 1 into 1 58.571 * [taylor]: Taking taylor expansion of (log PI) in n 58.571 * [taylor]: Taking taylor expansion of PI in n 58.571 * [backup-simplify]: Simplify PI into PI 58.571 * [backup-simplify]: Simplify (log PI) into (log PI) 58.571 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 58.571 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 58.572 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 58.572 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 58.572 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 58.572 * [taylor]: Taking taylor expansion of (/ -1 k) in n 58.572 * [taylor]: Taking taylor expansion of -1 in n 58.572 * [backup-simplify]: Simplify -1 into -1 58.572 * [taylor]: Taking taylor expansion of k in n 58.572 * [backup-simplify]: Simplify k into k 58.572 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 58.572 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 58.572 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 58.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 58.573 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 58.574 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 58.575 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) 58.575 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in n 58.575 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in n 58.575 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 58.575 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 58.575 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 58.575 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 58.575 * [taylor]: Taking taylor expansion of 1/2 in n 58.575 * [backup-simplify]: Simplify 1/2 into 1/2 58.575 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 58.575 * [taylor]: Taking taylor expansion of (/ 1 k) in n 58.575 * [taylor]: Taking taylor expansion of k in n 58.575 * [backup-simplify]: Simplify k into k 58.575 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 58.575 * [taylor]: Taking taylor expansion of 1 in n 58.575 * [backup-simplify]: Simplify 1 into 1 58.575 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 58.575 * [taylor]: Taking taylor expansion of (/ -1 n) in n 58.575 * [taylor]: Taking taylor expansion of -1 in n 58.575 * [backup-simplify]: Simplify -1 into -1 58.576 * [taylor]: Taking taylor expansion of n in n 58.576 * [backup-simplify]: Simplify 0 into 0 58.576 * [backup-simplify]: Simplify 1 into 1 58.576 * [backup-simplify]: Simplify (/ -1 1) into -1 58.576 * [backup-simplify]: Simplify (log -1) into (log -1) 58.576 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 58.576 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 58.577 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 58.577 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 58.578 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 58.578 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in n 58.578 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in n 58.578 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in n 58.578 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in n 58.578 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 58.578 * [taylor]: Taking taylor expansion of 1/2 in n 58.578 * [backup-simplify]: Simplify 1/2 into 1/2 58.578 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 58.578 * [taylor]: Taking taylor expansion of (/ 1 k) in n 58.578 * [taylor]: Taking taylor expansion of k in n 58.578 * [backup-simplify]: Simplify k into k 58.578 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 58.578 * [taylor]: Taking taylor expansion of 1 in n 58.578 * [backup-simplify]: Simplify 1 into 1 58.578 * [taylor]: Taking taylor expansion of (log 2) in n 58.578 * [taylor]: Taking taylor expansion of 2 in n 58.578 * [backup-simplify]: Simplify 2 into 2 58.578 * [backup-simplify]: Simplify (log 2) into (log 2) 58.578 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 58.578 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 58.579 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) into (* 1/2 (* (log 2) (+ (/ 1 k) 1))) 58.579 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 58.579 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in n 58.579 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in n 58.579 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in n 58.579 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 58.579 * [taylor]: Taking taylor expansion of 1/2 in n 58.579 * [backup-simplify]: Simplify 1/2 into 1/2 58.579 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 58.579 * [taylor]: Taking taylor expansion of (/ 1 k) in n 58.579 * [taylor]: Taking taylor expansion of k in n 58.579 * [backup-simplify]: Simplify k into k 58.579 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 58.579 * [taylor]: Taking taylor expansion of 1 in n 58.579 * [backup-simplify]: Simplify 1 into 1 58.579 * [taylor]: Taking taylor expansion of (log PI) in n 58.579 * [taylor]: Taking taylor expansion of PI in n 58.579 * [backup-simplify]: Simplify PI into PI 58.579 * [backup-simplify]: Simplify (log PI) into (log PI) 58.579 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 58.580 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 58.580 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 58.580 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 58.580 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 58.580 * [taylor]: Taking taylor expansion of (/ -1 k) in n 58.580 * [taylor]: Taking taylor expansion of -1 in n 58.580 * [backup-simplify]: Simplify -1 into -1 58.580 * [taylor]: Taking taylor expansion of k in n 58.580 * [backup-simplify]: Simplify k into k 58.580 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 58.580 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 58.580 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 58.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 58.581 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 58.582 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 58.583 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) 58.583 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) in k 58.583 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) in k 58.583 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in k 58.583 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in k 58.583 * [taylor]: Taking taylor expansion of 1/2 in k 58.583 * [backup-simplify]: Simplify 1/2 into 1/2 58.583 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in k 58.583 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 58.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k 58.583 * [taylor]: Taking taylor expansion of k in k 58.583 * [backup-simplify]: Simplify 0 into 0 58.583 * [backup-simplify]: Simplify 1 into 1 58.583 * [backup-simplify]: Simplify (/ 1 1) into 1 58.584 * [taylor]: Taking taylor expansion of 1 in k 58.584 * [backup-simplify]: Simplify 1 into 1 58.584 * [taylor]: Taking taylor expansion of (log PI) in k 58.584 * [taylor]: Taking taylor expansion of PI in k 58.584 * [backup-simplify]: Simplify PI into PI 58.584 * [backup-simplify]: Simplify (log PI) into (log PI) 58.584 * [backup-simplify]: Simplify (+ 1 0) into 1 58.585 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 58.585 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 58.586 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 58.586 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) in k 58.586 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) in k 58.586 * [taylor]: Taking taylor expansion of (* 1/2 (* (log 2) (+ (/ 1 k) 1))) in k 58.586 * [taylor]: Taking taylor expansion of 1/2 in k 58.586 * [backup-simplify]: Simplify 1/2 into 1/2 58.586 * [taylor]: Taking taylor expansion of (* (log 2) (+ (/ 1 k) 1)) in k 58.586 * [taylor]: Taking taylor expansion of (log 2) in k 58.586 * [taylor]: Taking taylor expansion of 2 in k 58.586 * [backup-simplify]: Simplify 2 into 2 58.586 * [backup-simplify]: Simplify (log 2) into (log 2) 58.586 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 58.586 * [taylor]: Taking taylor expansion of (/ 1 k) in k 58.586 * [taylor]: Taking taylor expansion of k in k 58.586 * [backup-simplify]: Simplify 0 into 0 58.586 * [backup-simplify]: Simplify 1 into 1 58.586 * [backup-simplify]: Simplify (/ 1 1) into 1 58.586 * [taylor]: Taking taylor expansion of 1 in k 58.586 * [backup-simplify]: Simplify 1 into 1 58.587 * [backup-simplify]: Simplify (+ 1 0) into 1 58.587 * [backup-simplify]: Simplify (* (log 2) 1) into (log 2) 58.588 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 58.588 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 58.588 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 58.588 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 58.588 * [taylor]: Taking taylor expansion of 1/2 in k 58.588 * [backup-simplify]: Simplify 1/2 into 1/2 58.588 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 58.588 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 58.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k 58.588 * [taylor]: Taking taylor expansion of k in k 58.588 * [backup-simplify]: Simplify 0 into 0 58.588 * [backup-simplify]: Simplify 1 into 1 58.588 * [backup-simplify]: Simplify (/ 1 1) into 1 58.588 * [taylor]: Taking taylor expansion of 1 in k 58.588 * [backup-simplify]: Simplify 1 into 1 58.589 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 58.589 * [taylor]: Taking taylor expansion of (log -1) in k 58.589 * [taylor]: Taking taylor expansion of -1 in k 58.589 * [backup-simplify]: Simplify -1 into -1 58.589 * [backup-simplify]: Simplify (log -1) into (log -1) 58.589 * [taylor]: Taking taylor expansion of (log n) in k 58.589 * [taylor]: Taking taylor expansion of n in k 58.589 * [backup-simplify]: Simplify n into n 58.589 * [backup-simplify]: Simplify (log n) into (log n) 58.589 * [backup-simplify]: Simplify (+ 1 0) into 1 58.589 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 58.589 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 58.590 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 58.590 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 58.590 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 58.590 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 58.590 * [taylor]: Taking taylor expansion of (/ -1 k) in k 58.590 * [taylor]: Taking taylor expansion of -1 in k 58.590 * [backup-simplify]: Simplify -1 into -1 58.590 * [taylor]: Taking taylor expansion of k in k 58.590 * [backup-simplify]: Simplify 0 into 0 58.591 * [backup-simplify]: Simplify 1 into 1 58.591 * [backup-simplify]: Simplify (/ -1 1) into -1 58.591 * [backup-simplify]: Simplify (sqrt 0) into 0 58.592 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 58.592 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) into (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 58.593 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 58.594 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 58.595 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 58.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 58.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 58.597 * [backup-simplify]: Simplify (+ 0 0) into 0 58.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 58.597 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log PI))) into 0 58.598 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 58.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 58.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 58.599 * [backup-simplify]: Simplify (+ 0 0) into 0 58.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 58.600 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log 2))) into 0 58.601 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 58.601 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))) into 0 58.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 58.603 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 58.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 58.603 * [backup-simplify]: Simplify (+ 0 0) into 0 58.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 58.604 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 58.604 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 58.605 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 58.606 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) into 0 58.607 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 58.607 * [taylor]: Taking taylor expansion of 0 in k 58.607 * [backup-simplify]: Simplify 0 into 0 58.607 * [backup-simplify]: Simplify 0 into 0 58.608 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into 0 58.608 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 58.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 58.611 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 58.612 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 58.613 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 58.615 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 58.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.615 * [backup-simplify]: Simplify (+ 0 0) into 0 58.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 58.616 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 58.617 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 58.619 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 58.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.620 * [backup-simplify]: Simplify (+ 0 0) into 0 58.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 58.621 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 58.622 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 58.623 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))))) into 0 58.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 58.630 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 58.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.630 * [backup-simplify]: Simplify (+ 0 0) into 0 58.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 58.632 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 58.632 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 58.633 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 58.634 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) into 0 58.635 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 58.635 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 58.636 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 58.636 * [taylor]: Taking taylor expansion of 0 in k 58.636 * [backup-simplify]: Simplify 0 into 0 58.636 * [backup-simplify]: Simplify 0 into 0 58.636 * [backup-simplify]: Simplify 0 into 0 58.637 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 58.638 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) into 0 58.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 58.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 58.644 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 58.645 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 58.649 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2)))))))) 58.649 * * * [progress]: simplifying candidates 58.649 * * * * [progress]: [ 1 / 218 ] simplifiying candidate # 58.649 * * * * [progress]: [ 2 / 218 ] simplifiying candidate # 58.649 * * * * [progress]: [ 3 / 218 ] simplifiying candidate # 58.649 * [simplify]: Simplifying (* (log n) (/ (- 1 k) 2)) 58.649 * * [simplify]: iters left: 6 (8 enodes) 58.652 * * [simplify]: iters left: 5 (35 enodes) 58.658 * * [simplify]: iters left: 4 (56 enodes) 58.667 * * [simplify]: iters left: 3 (72 enodes) 58.681 * * [simplify]: iters left: 2 (129 enodes) 58.711 * * [simplify]: iters left: 1 (172 enodes) 58.745 * * [simplify]: Extracting #0: cost 1 inf + 0 58.746 * * [simplify]: Extracting #1: cost 17 inf + 0 58.746 * * [simplify]: Extracting #2: cost 42 inf + 3 58.747 * * [simplify]: Extracting #3: cost 29 inf + 1337 58.749 * * [simplify]: Extracting #4: cost 4 inf + 4499 58.752 * * [simplify]: Extracting #5: cost 0 inf + 5037 58.755 * * [simplify]: Extracting #6: cost 0 inf + 5034 58.757 * [simplify]: Simplified to (* 1/2 (- (log n) (* k (log n)))) 58.757 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* 1/2 (- (log n) (* k (log n))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 58.758 * * * * [progress]: [ 4 / 218 ] simplifiying candidate # 58.758 * * * * [progress]: [ 5 / 218 ] simplifiying candidate # 58.758 * * * * [progress]: [ 6 / 218 ] simplifiying candidate # 58.758 * [simplify]: Simplifying (pow n (/ k 2)) 58.758 * * [simplify]: iters left: 3 (5 enodes) 58.761 * * [simplify]: iters left: 2 (18 enodes) 58.768 * * [simplify]: iters left: 1 (30 enodes) 58.779 * * [simplify]: Extracting #0: cost 1 inf + 0 58.779 * * [simplify]: Extracting #1: cost 10 inf + 0 58.779 * * [simplify]: Extracting #2: cost 23 inf + 1 58.780 * * [simplify]: Extracting #3: cost 23 inf + 46 58.780 * * [simplify]: Extracting #4: cost 11 inf + 1346 58.781 * * [simplify]: Extracting #5: cost 1 inf + 3938 58.782 * * [simplify]: Extracting #6: cost 0 inf + 4111 58.783 * * [simplify]: Extracting #7: cost 0 inf + 4070 58.784 * [simplify]: Simplified to (pow n (/ k 2)) 58.784 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 58.784 * * * * [progress]: [ 7 / 218 ] simplifiying candidate # 58.784 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 58.784 * * [simplify]: iters left: 5 (6 enodes) 58.789 * * [simplify]: iters left: 4 (26 enodes) 58.795 * * [simplify]: iters left: 3 (35 enodes) 58.801 * * [simplify]: Extracting #0: cost 1 inf + 0 58.802 * * [simplify]: Extracting #1: cost 3 inf + 0 58.802 * * [simplify]: Extracting #2: cost 8 inf + 0 58.802 * * [simplify]: Extracting #3: cost 11 inf + 2 58.802 * * [simplify]: Extracting #4: cost 8 inf + 87 58.802 * * [simplify]: Extracting #5: cost 2 inf + 500 58.802 * * [simplify]: Extracting #6: cost 0 inf + 746 58.802 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 58.802 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 58.802 * * * * [progress]: [ 8 / 218 ] simplifiying candidate # 58.803 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 58.803 * * [simplify]: iters left: 5 (6 enodes) 58.805 * * [simplify]: iters left: 4 (26 enodes) 58.812 * * [simplify]: iters left: 3 (35 enodes) 58.818 * * [simplify]: Extracting #0: cost 1 inf + 0 58.818 * * [simplify]: Extracting #1: cost 3 inf + 0 58.818 * * [simplify]: Extracting #2: cost 8 inf + 0 58.818 * * [simplify]: Extracting #3: cost 11 inf + 2 58.818 * * [simplify]: Extracting #4: cost 8 inf + 87 58.819 * * [simplify]: Extracting #5: cost 2 inf + 460 58.819 * * [simplify]: Extracting #6: cost 0 inf + 666 58.819 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 58.819 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 58.819 * * * * [progress]: [ 9 / 218 ] simplifiying candidate # 58.819 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 58.819 * * [simplify]: iters left: 5 (7 enodes) 58.822 * * [simplify]: iters left: 4 (25 enodes) 58.827 * * [simplify]: iters left: 3 (30 enodes) 58.832 * * [simplify]: Extracting #0: cost 1 inf + 0 58.832 * * [simplify]: Extracting #1: cost 4 inf + 0 58.832 * * [simplify]: Extracting #2: cost 8 inf + 0 58.832 * * [simplify]: Extracting #3: cost 10 inf + 82 58.832 * * [simplify]: Extracting #4: cost 7 inf + 206 58.832 * * [simplify]: Extracting #5: cost 2 inf + 575 58.833 * * [simplify]: Extracting #6: cost 1 inf + 818 58.833 * * [simplify]: Extracting #7: cost 0 inf + 1061 58.833 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 58.833 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 58.833 * * * * [progress]: [ 10 / 218 ] simplifiying candidate # 58.833 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 58.833 * * [simplify]: iters left: 5 (7 enodes) 58.836 * * [simplify]: iters left: 4 (25 enodes) 58.840 * * [simplify]: iters left: 3 (30 enodes) 58.845 * * [simplify]: Extracting #0: cost 1 inf + 0 58.845 * * [simplify]: Extracting #1: cost 4 inf + 0 58.845 * * [simplify]: Extracting #2: cost 8 inf + 0 58.845 * * [simplify]: Extracting #3: cost 10 inf + 42 58.846 * * [simplify]: Extracting #4: cost 7 inf + 126 58.846 * * [simplify]: Extracting #5: cost 2 inf + 495 58.846 * * [simplify]: Extracting #6: cost 1 inf + 698 58.846 * * [simplify]: Extracting #7: cost 0 inf + 901 58.846 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 58.846 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 58.846 * * * * [progress]: [ 11 / 218 ] simplifiying candidate # 58.847 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 58.847 * * [simplify]: iters left: 5 (6 enodes) 58.848 * * [simplify]: iters left: 4 (22 enodes) 58.852 * * [simplify]: iters left: 3 (27 enodes) 58.856 * * [simplify]: Extracting #0: cost 1 inf + 0 58.856 * * [simplify]: Extracting #1: cost 4 inf + 0 58.857 * * [simplify]: Extracting #2: cost 5 inf + 1 58.857 * * [simplify]: Extracting #3: cost 9 inf + 1 58.857 * * [simplify]: Extracting #4: cost 8 inf + 3 58.857 * * [simplify]: Extracting #5: cost 4 inf + 169 58.857 * * [simplify]: Extracting #6: cost 1 inf + 576 58.857 * * [simplify]: Extracting #7: cost 0 inf + 739 58.857 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 58.857 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 58.857 * * * * [progress]: [ 12 / 218 ] simplifiying candidate # 58.858 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 58.858 * * [simplify]: iters left: 5 (7 enodes) 58.860 * * [simplify]: iters left: 4 (25 enodes) 58.864 * * [simplify]: iters left: 3 (30 enodes) 58.869 * * [simplify]: Extracting #0: cost 1 inf + 0 58.869 * * [simplify]: Extracting #1: cost 4 inf + 0 58.870 * * [simplify]: Extracting #2: cost 8 inf + 0 58.870 * * [simplify]: Extracting #3: cost 10 inf + 82 58.870 * * [simplify]: Extracting #4: cost 7 inf + 206 58.870 * * [simplify]: Extracting #5: cost 2 inf + 495 58.870 * * [simplify]: Extracting #6: cost 1 inf + 698 58.870 * * [simplify]: Extracting #7: cost 0 inf + 901 58.870 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 58.870 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 58.871 * * * * [progress]: [ 13 / 218 ] simplifiying candidate # 58.871 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 58.871 * * [simplify]: iters left: 5 (7 enodes) 58.873 * * [simplify]: iters left: 4 (25 enodes) 58.878 * * [simplify]: iters left: 3 (30 enodes) 58.882 * * [simplify]: Extracting #0: cost 1 inf + 0 58.883 * * [simplify]: Extracting #1: cost 4 inf + 0 58.883 * * [simplify]: Extracting #2: cost 8 inf + 0 58.883 * * [simplify]: Extracting #3: cost 10 inf + 42 58.883 * * [simplify]: Extracting #4: cost 7 inf + 126 58.883 * * [simplify]: Extracting #5: cost 2 inf + 415 58.883 * * [simplify]: Extracting #6: cost 1 inf + 578 58.883 * * [simplify]: Extracting #7: cost 0 inf + 741 58.883 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 58.883 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 58.884 * * * * [progress]: [ 14 / 218 ] simplifiying candidate # 58.884 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 58.884 * * [simplify]: iters left: 5 (6 enodes) 58.886 * * [simplify]: iters left: 4 (22 enodes) 58.890 * * [simplify]: iters left: 3 (27 enodes) 58.895 * * [simplify]: Extracting #0: cost 1 inf + 0 58.895 * * [simplify]: Extracting #1: cost 4 inf + 0 58.895 * * [simplify]: Extracting #2: cost 5 inf + 1 58.895 * * [simplify]: Extracting #3: cost 9 inf + 1 58.895 * * [simplify]: Extracting #4: cost 8 inf + 3 58.895 * * [simplify]: Extracting #5: cost 4 inf + 169 58.895 * * [simplify]: Extracting #6: cost 1 inf + 456 58.895 * * [simplify]: Extracting #7: cost 0 inf + 579 58.895 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 58.895 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 58.896 * * * * [progress]: [ 15 / 218 ] simplifiying candidate # 58.896 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 58.896 * * [simplify]: iters left: 4 (6 enodes) 58.901 * * [simplify]: iters left: 3 (25 enodes) 58.905 * * [simplify]: iters left: 2 (36 enodes) 58.916 * * [simplify]: iters left: 1 (40 enodes) 58.928 * * [simplify]: Extracting #0: cost 1 inf + 0 58.928 * * [simplify]: Extracting #1: cost 7 inf + 0 58.928 * * [simplify]: Extracting #2: cost 16 inf + 0 58.929 * * [simplify]: Extracting #3: cost 13 inf + 44 58.929 * * [simplify]: Extracting #4: cost 3 inf + 1103 58.929 * * [simplify]: Extracting #5: cost 0 inf + 1469 58.930 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 58.930 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 58.930 * * * * [progress]: [ 16 / 218 ] simplifiying candidate # 58.931 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 58.931 * * [simplify]: iters left: 4 (6 enodes) 58.935 * * [simplify]: iters left: 3 (25 enodes) 58.941 * * [simplify]: iters left: 2 (36 enodes) 58.948 * * [simplify]: iters left: 1 (40 enodes) 58.954 * * [simplify]: Extracting #0: cost 1 inf + 0 58.955 * * [simplify]: Extracting #1: cost 7 inf + 0 58.955 * * [simplify]: Extracting #2: cost 16 inf + 0 58.955 * * [simplify]: Extracting #3: cost 13 inf + 44 58.955 * * [simplify]: Extracting #4: cost 3 inf + 823 58.955 * * [simplify]: Extracting #5: cost 0 inf + 1069 58.955 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 58.955 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 58.956 * * * * [progress]: [ 17 / 218 ] simplifiying candidate # 58.956 * [simplify]: Simplifying (/ (- 1 k) 2) 58.956 * * [simplify]: iters left: 4 (5 enodes) 58.958 * * [simplify]: iters left: 3 (23 enodes) 58.963 * * [simplify]: iters left: 2 (32 enodes) 58.968 * * [simplify]: Extracting #0: cost 1 inf + 0 58.968 * * [simplify]: Extracting #1: cost 6 inf + 0 58.968 * * [simplify]: Extracting #2: cost 9 inf + 2 58.968 * * [simplify]: Extracting #3: cost 6 inf + 87 58.968 * * [simplify]: Extracting #4: cost 0 inf + 420 58.968 * [simplify]: Simplified to (/ (- 1 k) 2) 58.968 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 58.968 * * * * [progress]: [ 18 / 218 ] simplifiying candidate # 58.968 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 58.969 * * [simplify]: iters left: 5 (8 enodes) 58.971 * * [simplify]: iters left: 4 (31 enodes) 58.977 * * [simplify]: iters left: 3 (45 enodes) 58.984 * * [simplify]: iters left: 2 (51 enodes) 58.992 * * [simplify]: iters left: 1 (52 enodes) 59.010 * * [simplify]: Extracting #0: cost 1 inf + 0 59.010 * * [simplify]: Extracting #1: cost 8 inf + 0 59.010 * * [simplify]: Extracting #2: cost 18 inf + 0 59.011 * * [simplify]: Extracting #3: cost 19 inf + 2 59.011 * * [simplify]: Extracting #4: cost 9 inf + 977 59.012 * * [simplify]: Extracting #5: cost 2 inf + 1790 59.012 * * [simplify]: Extracting #6: cost 0 inf + 2195 59.013 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 59.013 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 59.013 * * * * [progress]: [ 19 / 218 ] simplifiying candidate # 59.014 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 59.014 * * [simplify]: iters left: 5 (8 enodes) 59.019 * * [simplify]: iters left: 4 (31 enodes) 59.030 * * [simplify]: iters left: 3 (45 enodes) 59.043 * * [simplify]: iters left: 2 (51 enodes) 59.052 * * [simplify]: iters left: 1 (52 enodes) 59.060 * * [simplify]: Extracting #0: cost 1 inf + 0 59.060 * * [simplify]: Extracting #1: cost 8 inf + 0 59.060 * * [simplify]: Extracting #2: cost 18 inf + 0 59.060 * * [simplify]: Extracting #3: cost 19 inf + 2 59.060 * * [simplify]: Extracting #4: cost 9 inf + 697 59.060 * * [simplify]: Extracting #5: cost 2 inf + 1390 59.061 * * [simplify]: Extracting #6: cost 0 inf + 1715 59.061 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 59.061 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 59.061 * * * * [progress]: [ 20 / 218 ] simplifiying candidate # 59.061 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 59.061 * * [simplify]: iters left: 5 (7 enodes) 59.064 * * [simplify]: iters left: 4 (29 enodes) 59.069 * * [simplify]: iters left: 3 (43 enodes) 59.075 * * [simplify]: iters left: 2 (47 enodes) 59.082 * * [simplify]: Extracting #0: cost 1 inf + 0 59.082 * * [simplify]: Extracting #1: cost 7 inf + 0 59.082 * * [simplify]: Extracting #2: cost 11 inf + 2 59.082 * * [simplify]: Extracting #3: cost 13 inf + 3 59.082 * * [simplify]: Extracting #4: cost 11 inf + 45 59.082 * * [simplify]: Extracting #5: cost 0 inf + 1066 59.083 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 59.083 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 59.083 * * * * [progress]: [ 21 / 218 ] simplifiying candidate # 59.083 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 59.083 * * [simplify]: iters left: 5 (7 enodes) 59.085 * * [simplify]: iters left: 4 (28 enodes) 59.090 * * [simplify]: iters left: 3 (39 enodes) 59.103 * * [simplify]: iters left: 2 (43 enodes) 59.117 * * [simplify]: Extracting #0: cost 1 inf + 0 59.117 * * [simplify]: Extracting #1: cost 7 inf + 0 59.117 * * [simplify]: Extracting #2: cost 16 inf + 0 59.118 * * [simplify]: Extracting #3: cost 15 inf + 164 59.118 * * [simplify]: Extracting #4: cost 13 inf + 287 59.118 * * [simplify]: Extracting #5: cost 5 inf + 1180 59.119 * * [simplify]: Extracting #6: cost 0 inf + 1951 59.119 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 59.119 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 59.120 * * * * [progress]: [ 22 / 218 ] simplifiying candidate # 59.120 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 59.120 * * [simplify]: iters left: 5 (7 enodes) 59.125 * * [simplify]: iters left: 4 (28 enodes) 59.138 * * [simplify]: iters left: 3 (39 enodes) 59.151 * * [simplify]: iters left: 2 (43 enodes) 59.164 * * [simplify]: Extracting #0: cost 1 inf + 0 59.165 * * [simplify]: Extracting #1: cost 7 inf + 0 59.165 * * [simplify]: Extracting #2: cost 16 inf + 0 59.165 * * [simplify]: Extracting #3: cost 15 inf + 84 59.165 * * [simplify]: Extracting #4: cost 13 inf + 167 59.165 * * [simplify]: Extracting #5: cost 5 inf + 900 59.166 * * [simplify]: Extracting #6: cost 0 inf + 1551 59.167 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 59.167 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 59.167 * * * * [progress]: [ 23 / 218 ] simplifiying candidate # 59.167 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 59.167 * * [simplify]: iters left: 5 (6 enodes) 59.172 * * [simplify]: iters left: 4 (26 enodes) 59.180 * * [simplify]: iters left: 3 (35 enodes) 59.192 * * [simplify]: Extracting #0: cost 1 inf + 0 59.192 * * [simplify]: Extracting #1: cost 6 inf + 0 59.192 * * [simplify]: Extracting #2: cost 9 inf + 2 59.192 * * [simplify]: Extracting #3: cost 11 inf + 3 59.192 * * [simplify]: Extracting #4: cost 10 inf + 4 59.192 * * [simplify]: Extracting #5: cost 3 inf + 535 59.193 * * [simplify]: Extracting #6: cost 0 inf + 822 59.193 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 59.193 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 59.193 * * * * [progress]: [ 24 / 218 ] simplifiying candidate # 59.193 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 59.194 * * [simplify]: iters left: 4 (6 enodes) 59.198 * * [simplify]: iters left: 3 (25 enodes) 59.207 * * [simplify]: iters left: 2 (36 enodes) 59.218 * * [simplify]: iters left: 1 (40 enodes) 59.230 * * [simplify]: Extracting #0: cost 1 inf + 0 59.230 * * [simplify]: Extracting #1: cost 7 inf + 0 59.230 * * [simplify]: Extracting #2: cost 16 inf + 0 59.230 * * [simplify]: Extracting #3: cost 13 inf + 44 59.231 * * [simplify]: Extracting #4: cost 3 inf + 1103 59.231 * * [simplify]: Extracting #5: cost 0 inf + 1469 59.232 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 59.232 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 59.232 * * * * [progress]: [ 25 / 218 ] simplifiying candidate # 59.232 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 59.232 * * [simplify]: iters left: 4 (6 enodes) 59.236 * * [simplify]: iters left: 3 (25 enodes) 59.242 * * [simplify]: iters left: 2 (36 enodes) 59.248 * * [simplify]: iters left: 1 (40 enodes) 59.254 * * [simplify]: Extracting #0: cost 1 inf + 0 59.254 * * [simplify]: Extracting #1: cost 7 inf + 0 59.254 * * [simplify]: Extracting #2: cost 16 inf + 0 59.254 * * [simplify]: Extracting #3: cost 13 inf + 44 59.254 * * [simplify]: Extracting #4: cost 3 inf + 823 59.254 * * [simplify]: Extracting #5: cost 0 inf + 1069 59.255 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 59.255 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 59.255 * * * * [progress]: [ 26 / 218 ] simplifiying candidate # 59.255 * [simplify]: Simplifying (/ (- 1 k) 2) 59.255 * * [simplify]: iters left: 4 (5 enodes) 59.257 * * [simplify]: iters left: 3 (23 enodes) 59.261 * * [simplify]: iters left: 2 (32 enodes) 59.266 * * [simplify]: Extracting #0: cost 1 inf + 0 59.266 * * [simplify]: Extracting #1: cost 6 inf + 0 59.266 * * [simplify]: Extracting #2: cost 9 inf + 2 59.266 * * [simplify]: Extracting #3: cost 6 inf + 87 59.266 * * [simplify]: Extracting #4: cost 0 inf + 420 59.266 * [simplify]: Simplified to (/ (- 1 k) 2) 59.267 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 59.267 * * * * [progress]: [ 27 / 218 ] simplifiying candidate # 59.267 * [simplify]: Simplifying (/ (- 1 k) 2) 59.267 * * [simplify]: iters left: 4 (5 enodes) 59.272 * * [simplify]: iters left: 3 (23 enodes) 59.281 * * [simplify]: iters left: 2 (32 enodes) 59.290 * * [simplify]: Extracting #0: cost 1 inf + 0 59.290 * * [simplify]: Extracting #1: cost 6 inf + 0 59.290 * * [simplify]: Extracting #2: cost 9 inf + 2 59.291 * * [simplify]: Extracting #3: cost 6 inf + 87 59.291 * * [simplify]: Extracting #4: cost 0 inf + 420 59.291 * [simplify]: Simplified to (/ (- 1 k) 2) 59.291 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n 1) (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 59.291 * * * * [progress]: [ 28 / 218 ] simplifiying candidate # 59.292 * [simplify]: Simplifying (/ 1 2) 59.292 * * [simplify]: iters left: 2 (3 enodes) 59.295 * * [simplify]: iters left: 1 (12 enodes) 59.299 * * [simplify]: Extracting #0: cost 1 inf + 0 59.299 * * [simplify]: Extracting #1: cost 0 inf + 1 59.299 * [simplify]: Simplified to 1/2 59.299 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (- 1 k)) 1/2) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 59.299 * * * * [progress]: [ 29 / 218 ] simplifiying candidate # 59.299 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 59.299 * * [simplify]: iters left: 5 (9 enodes) 59.302 * * [simplify]: iters left: 4 (38 enodes) 59.309 * * [simplify]: iters left: 3 (63 enodes) 59.320 * * [simplify]: iters left: 2 (98 enodes) 59.341 * * [simplify]: iters left: 1 (167 enodes) 59.401 * * [simplify]: Extracting #0: cost 1 inf + 0 59.401 * * [simplify]: Extracting #1: cost 13 inf + 0 59.401 * * [simplify]: Extracting #2: cost 54 inf + 1 59.402 * * [simplify]: Extracting #3: cost 87 inf + 5 59.402 * * [simplify]: Extracting #4: cost 68 inf + 1334 59.403 * * [simplify]: Extracting #5: cost 40 inf + 5047 59.406 * * [simplify]: Extracting #6: cost 11 inf + 17686 59.412 * * [simplify]: Extracting #7: cost 0 inf + 25802 59.420 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 59.420 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow (cbrt n) (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 59.420 * * * * [progress]: [ 30 / 218 ] simplifiying candidate # 59.420 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 59.420 * * [simplify]: iters left: 5 (8 enodes) 59.425 * * [simplify]: iters left: 4 (35 enodes) 59.434 * * [simplify]: iters left: 3 (56 enodes) 59.444 * * [simplify]: iters left: 2 (89 enodes) 59.465 * * [simplify]: iters left: 1 (175 enodes) 59.530 * * [simplify]: Extracting #0: cost 1 inf + 0 59.530 * * [simplify]: Extracting #1: cost 13 inf + 0 59.530 * * [simplify]: Extracting #2: cost 53 inf + 1 59.530 * * [simplify]: Extracting #3: cost 83 inf + 47 59.531 * * [simplify]: Extracting #4: cost 60 inf + 2914 59.533 * * [simplify]: Extracting #5: cost 14 inf + 15118 59.536 * * [simplify]: Extracting #6: cost 1 inf + 21571 59.540 * * [simplify]: Extracting #7: cost 0 inf + 21783 59.543 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 59.543 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 59.544 * * * * [progress]: [ 31 / 218 ] simplifiying candidate # 59.544 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 59.544 * * [simplify]: iters left: 5 (6 enodes) 59.547 * * [simplify]: iters left: 4 (24 enodes) 59.551 * * [simplify]: iters left: 3 (33 enodes) 59.557 * * [simplify]: Extracting #0: cost 1 inf + 0 59.557 * * [simplify]: Extracting #1: cost 0 inf + 1 59.557 * [simplify]: Simplified to 1 59.557 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* 1 (pow n (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 59.557 * * * * [progress]: [ 32 / 218 ] simplifiying candidate # 59.557 * * * * [progress]: [ 33 / 218 ] simplifiying candidate # 59.557 * * * * [progress]: [ 34 / 218 ] simplifiying candidate # 59.557 * * * * [progress]: [ 35 / 218 ] simplifiying candidate # 59.557 * * * * [progress]: [ 36 / 218 ] simplifiying candidate # 59.557 * * * * [progress]: [ 37 / 218 ] simplifiying candidate # 59.557 * * * * [progress]: [ 38 / 218 ] simplifiying candidate # 59.557 * * * * [progress]: [ 39 / 218 ] simplifiying candidate # 59.557 * * * * [progress]: [ 40 / 218 ] simplifiying candidate #real (real->posit16 (pow n (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k)))> 59.557 * * * * [progress]: [ 41 / 218 ] simplifiying candidate # 59.558 * * * * [progress]: [ 42 / 218 ] simplifiying candidate # 59.558 * * * * [progress]: [ 43 / 218 ] simplifiying candidate # 59.558 * [simplify]: Simplifying (* (log PI) (/ (- 1 k) 2)) 59.558 * * [simplify]: iters left: 6 (8 enodes) 59.560 * * [simplify]: iters left: 5 (35 enodes) 59.567 * * [simplify]: iters left: 4 (56 enodes) 59.576 * * [simplify]: iters left: 3 (72 enodes) 59.589 * * [simplify]: iters left: 2 (129 enodes) 59.618 * * [simplify]: iters left: 1 (172 enodes) 59.675 * * [simplify]: Extracting #0: cost 1 inf + 0 59.675 * * [simplify]: Extracting #1: cost 17 inf + 0 59.676 * * [simplify]: Extracting #2: cost 42 inf + 3 59.676 * * [simplify]: Extracting #3: cost 29 inf + 1337 59.679 * * [simplify]: Extracting #4: cost 4 inf + 4499 59.682 * * [simplify]: Extracting #5: cost 0 inf + 5037 59.684 * * [simplify]: Extracting #6: cost 0 inf + 5034 59.688 * [simplify]: Simplified to (* 1/2 (- (log PI) (* k (log PI)))) 59.688 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (exp (* 1/2 (- (log PI) (* k (log PI))))))) (sqrt k))) 59.688 * * * * [progress]: [ 44 / 218 ] simplifiying candidate # 59.688 * * * * [progress]: [ 45 / 218 ] simplifiying candidate # 59.688 * * * * [progress]: [ 46 / 218 ] simplifiying candidate # 59.689 * [simplify]: Simplifying (pow PI (/ k 2)) 59.689 * * [simplify]: iters left: 3 (5 enodes) 59.691 * * [simplify]: iters left: 2 (18 enodes) 59.695 * * [simplify]: iters left: 1 (30 enodes) 59.704 * * [simplify]: Extracting #0: cost 1 inf + 0 59.704 * * [simplify]: Extracting #1: cost 10 inf + 0 59.704 * * [simplify]: Extracting #2: cost 23 inf + 1 59.704 * * [simplify]: Extracting #3: cost 23 inf + 46 59.704 * * [simplify]: Extracting #4: cost 11 inf + 1346 59.705 * * [simplify]: Extracting #5: cost 1 inf + 3938 59.705 * * [simplify]: Extracting #6: cost 0 inf + 4111 59.706 * * [simplify]: Extracting #7: cost 0 inf + 4070 59.706 * [simplify]: Simplified to (pow PI (/ k 2)) 59.706 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (/ (pow PI (/ 1 2)) (pow PI (/ k 2))))) (sqrt k))) 59.707 * * * * [progress]: [ 47 / 218 ] simplifiying candidate # 59.707 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 59.707 * * [simplify]: iters left: 5 (6 enodes) 59.709 * * [simplify]: iters left: 4 (26 enodes) 59.714 * * [simplify]: iters left: 3 (35 enodes) 59.719 * * [simplify]: Extracting #0: cost 1 inf + 0 59.720 * * [simplify]: Extracting #1: cost 3 inf + 0 59.720 * * [simplify]: Extracting #2: cost 8 inf + 0 59.720 * * [simplify]: Extracting #3: cost 11 inf + 2 59.720 * * [simplify]: Extracting #4: cost 8 inf + 87 59.720 * * [simplify]: Extracting #5: cost 2 inf + 500 59.720 * * [simplify]: Extracting #6: cost 0 inf + 746 59.720 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 59.720 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) (sqrt k))) 59.720 * * * * [progress]: [ 48 / 218 ] simplifiying candidate # 59.721 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 59.721 * * [simplify]: iters left: 5 (6 enodes) 59.723 * * [simplify]: iters left: 4 (26 enodes) 59.728 * * [simplify]: iters left: 3 (35 enodes) 59.733 * * [simplify]: Extracting #0: cost 1 inf + 0 59.733 * * [simplify]: Extracting #1: cost 3 inf + 0 59.733 * * [simplify]: Extracting #2: cost 8 inf + 0 59.733 * * [simplify]: Extracting #3: cost 11 inf + 2 59.733 * * [simplify]: Extracting #4: cost 8 inf + 87 59.734 * * [simplify]: Extracting #5: cost 2 inf + 460 59.734 * * [simplify]: Extracting #6: cost 0 inf + 666 59.734 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 59.734 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) (sqrt k))) 59.734 * * * * [progress]: [ 49 / 218 ] simplifiying candidate # 59.734 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 59.734 * * [simplify]: iters left: 5 (7 enodes) 59.739 * * [simplify]: iters left: 4 (25 enodes) 59.748 * * [simplify]: iters left: 3 (30 enodes) 59.755 * * [simplify]: Extracting #0: cost 1 inf + 0 59.755 * * [simplify]: Extracting #1: cost 4 inf + 0 59.755 * * [simplify]: Extracting #2: cost 8 inf + 0 59.755 * * [simplify]: Extracting #3: cost 10 inf + 82 59.755 * * [simplify]: Extracting #4: cost 7 inf + 206 59.755 * * [simplify]: Extracting #5: cost 2 inf + 575 59.755 * * [simplify]: Extracting #6: cost 1 inf + 818 59.755 * * [simplify]: Extracting #7: cost 0 inf + 1061 59.755 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 59.755 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) (sqrt k))) 59.756 * * * * [progress]: [ 50 / 218 ] simplifiying candidate # 59.756 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 59.756 * * [simplify]: iters left: 5 (7 enodes) 59.758 * * [simplify]: iters left: 4 (25 enodes) 59.763 * * [simplify]: iters left: 3 (30 enodes) 59.768 * * [simplify]: Extracting #0: cost 1 inf + 0 59.768 * * [simplify]: Extracting #1: cost 4 inf + 0 59.768 * * [simplify]: Extracting #2: cost 8 inf + 0 59.768 * * [simplify]: Extracting #3: cost 10 inf + 42 59.768 * * [simplify]: Extracting #4: cost 7 inf + 126 59.768 * * [simplify]: Extracting #5: cost 2 inf + 495 59.769 * * [simplify]: Extracting #6: cost 1 inf + 698 59.769 * * [simplify]: Extracting #7: cost 0 inf + 901 59.769 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 59.769 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) (sqrt k))) 59.769 * * * * [progress]: [ 51 / 218 ] simplifiying candidate # 59.769 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 59.769 * * [simplify]: iters left: 5 (6 enodes) 59.771 * * [simplify]: iters left: 4 (22 enodes) 59.775 * * [simplify]: iters left: 3 (27 enodes) 59.780 * * [simplify]: Extracting #0: cost 1 inf + 0 59.780 * * [simplify]: Extracting #1: cost 4 inf + 0 59.780 * * [simplify]: Extracting #2: cost 5 inf + 1 59.780 * * [simplify]: Extracting #3: cost 9 inf + 1 59.780 * * [simplify]: Extracting #4: cost 8 inf + 3 59.780 * * [simplify]: Extracting #5: cost 4 inf + 169 59.780 * * [simplify]: Extracting #6: cost 1 inf + 576 59.781 * * [simplify]: Extracting #7: cost 0 inf + 739 59.781 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 59.781 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) (sqrt k))) 59.781 * * * * [progress]: [ 52 / 218 ] simplifiying candidate # 59.781 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 59.782 * * [simplify]: iters left: 5 (7 enodes) 59.786 * * [simplify]: iters left: 4 (25 enodes) 59.794 * * [simplify]: iters left: 3 (30 enodes) 59.808 * * [simplify]: Extracting #0: cost 1 inf + 0 59.808 * * [simplify]: Extracting #1: cost 4 inf + 0 59.808 * * [simplify]: Extracting #2: cost 8 inf + 0 59.808 * * [simplify]: Extracting #3: cost 10 inf + 82 59.808 * * [simplify]: Extracting #4: cost 7 inf + 206 59.809 * * [simplify]: Extracting #5: cost 2 inf + 495 59.809 * * [simplify]: Extracting #6: cost 1 inf + 698 59.809 * * [simplify]: Extracting #7: cost 0 inf + 901 59.810 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 59.810 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) (sqrt k))) 59.810 * * * * [progress]: [ 53 / 218 ] simplifiying candidate # 59.810 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 59.810 * * [simplify]: iters left: 5 (7 enodes) 59.815 * * [simplify]: iters left: 4 (25 enodes) 59.823 * * [simplify]: iters left: 3 (30 enodes) 59.833 * * [simplify]: Extracting #0: cost 1 inf + 0 59.833 * * [simplify]: Extracting #1: cost 4 inf + 0 59.833 * * [simplify]: Extracting #2: cost 8 inf + 0 59.833 * * [simplify]: Extracting #3: cost 10 inf + 42 59.833 * * [simplify]: Extracting #4: cost 7 inf + 126 59.834 * * [simplify]: Extracting #5: cost 2 inf + 415 59.834 * * [simplify]: Extracting #6: cost 1 inf + 578 59.834 * * [simplify]: Extracting #7: cost 0 inf + 741 59.835 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 59.835 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) (sqrt k))) 59.835 * * * * [progress]: [ 54 / 218 ] simplifiying candidate # 59.835 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 59.835 * * [simplify]: iters left: 5 (6 enodes) 59.839 * * [simplify]: iters left: 4 (22 enodes) 59.847 * * [simplify]: iters left: 3 (27 enodes) 59.856 * * [simplify]: Extracting #0: cost 1 inf + 0 59.856 * * [simplify]: Extracting #1: cost 4 inf + 0 59.856 * * [simplify]: Extracting #2: cost 5 inf + 1 59.856 * * [simplify]: Extracting #3: cost 9 inf + 1 59.856 * * [simplify]: Extracting #4: cost 8 inf + 3 59.856 * * [simplify]: Extracting #5: cost 4 inf + 169 59.857 * * [simplify]: Extracting #6: cost 1 inf + 456 59.857 * * [simplify]: Extracting #7: cost 0 inf + 579 59.857 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 59.857 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) (sqrt k))) 59.858 * * * * [progress]: [ 55 / 218 ] simplifiying candidate # 59.858 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 59.858 * * [simplify]: iters left: 4 (6 enodes) 59.862 * * [simplify]: iters left: 3 (25 enodes) 59.871 * * [simplify]: iters left: 2 (36 enodes) 59.882 * * [simplify]: iters left: 1 (40 enodes) 59.893 * * [simplify]: Extracting #0: cost 1 inf + 0 59.894 * * [simplify]: Extracting #1: cost 7 inf + 0 59.894 * * [simplify]: Extracting #2: cost 16 inf + 0 59.894 * * [simplify]: Extracting #3: cost 13 inf + 44 59.894 * * [simplify]: Extracting #4: cost 3 inf + 1103 59.895 * * [simplify]: Extracting #5: cost 0 inf + 1469 59.895 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 59.895 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) (sqrt k))) 59.896 * * * * [progress]: [ 56 / 218 ] simplifiying candidate # 59.896 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 59.896 * * [simplify]: iters left: 4 (6 enodes) 59.900 * * [simplify]: iters left: 3 (25 enodes) 59.910 * * [simplify]: iters left: 2 (36 enodes) 59.921 * * [simplify]: iters left: 1 (40 enodes) 59.933 * * [simplify]: Extracting #0: cost 1 inf + 0 59.933 * * [simplify]: Extracting #1: cost 7 inf + 0 59.933 * * [simplify]: Extracting #2: cost 16 inf + 0 59.933 * * [simplify]: Extracting #3: cost 13 inf + 44 59.934 * * [simplify]: Extracting #4: cost 3 inf + 823 59.934 * * [simplify]: Extracting #5: cost 0 inf + 1069 59.935 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 59.935 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) (sqrt k))) 59.935 * * * * [progress]: [ 57 / 218 ] simplifiying candidate # 59.935 * [simplify]: Simplifying (/ (- 1 k) 2) 59.935 * * [simplify]: iters left: 4 (5 enodes) 59.939 * * [simplify]: iters left: 3 (23 enodes) 59.947 * * [simplify]: iters left: 2 (32 enodes) 59.957 * * [simplify]: Extracting #0: cost 1 inf + 0 59.957 * * [simplify]: Extracting #1: cost 6 inf + 0 59.958 * * [simplify]: Extracting #2: cost 9 inf + 2 59.958 * * [simplify]: Extracting #3: cost 6 inf + 87 59.958 * * [simplify]: Extracting #4: cost 0 inf + 420 59.958 * [simplify]: Simplified to (/ (- 1 k) 2) 59.958 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 1)) (/ (- 1 k) 2)))) (sqrt k))) 59.958 * * * * [progress]: [ 58 / 218 ] simplifiying candidate # 59.959 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 59.959 * * [simplify]: iters left: 5 (8 enodes) 59.968 * * [simplify]: iters left: 4 (31 enodes) 59.978 * * [simplify]: iters left: 3 (45 enodes) 59.992 * * [simplify]: iters left: 2 (51 enodes) 60.006 * * [simplify]: iters left: 1 (52 enodes) 60.016 * * [simplify]: Extracting #0: cost 1 inf + 0 60.016 * * [simplify]: Extracting #1: cost 8 inf + 0 60.016 * * [simplify]: Extracting #2: cost 18 inf + 0 60.016 * * [simplify]: Extracting #3: cost 19 inf + 2 60.016 * * [simplify]: Extracting #4: cost 9 inf + 977 60.016 * * [simplify]: Extracting #5: cost 2 inf + 1790 60.017 * * [simplify]: Extracting #6: cost 0 inf + 2195 60.017 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 60.017 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) (sqrt k))) 60.017 * * * * [progress]: [ 59 / 218 ] simplifiying candidate # 60.018 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 60.018 * * [simplify]: iters left: 5 (8 enodes) 60.021 * * [simplify]: iters left: 4 (31 enodes) 60.026 * * [simplify]: iters left: 3 (45 enodes) 60.033 * * [simplify]: iters left: 2 (51 enodes) 60.041 * * [simplify]: iters left: 1 (52 enodes) 60.055 * * [simplify]: Extracting #0: cost 1 inf + 0 60.055 * * [simplify]: Extracting #1: cost 8 inf + 0 60.055 * * [simplify]: Extracting #2: cost 18 inf + 0 60.056 * * [simplify]: Extracting #3: cost 19 inf + 2 60.056 * * [simplify]: Extracting #4: cost 9 inf + 697 60.056 * * [simplify]: Extracting #5: cost 2 inf + 1390 60.057 * * [simplify]: Extracting #6: cost 0 inf + 1715 60.058 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 60.058 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) (sqrt k))) 60.058 * * * * [progress]: [ 60 / 218 ] simplifiying candidate # 60.059 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 60.059 * * [simplify]: iters left: 5 (7 enodes) 60.064 * * [simplify]: iters left: 4 (29 enodes) 60.074 * * [simplify]: iters left: 3 (43 enodes) 60.085 * * [simplify]: iters left: 2 (47 enodes) 60.101 * * [simplify]: Extracting #0: cost 1 inf + 0 60.101 * * [simplify]: Extracting #1: cost 7 inf + 0 60.101 * * [simplify]: Extracting #2: cost 11 inf + 2 60.101 * * [simplify]: Extracting #3: cost 13 inf + 3 60.101 * * [simplify]: Extracting #4: cost 11 inf + 45 60.102 * * [simplify]: Extracting #5: cost 0 inf + 1066 60.102 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 60.102 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt k))) 60.102 * * * * [progress]: [ 61 / 218 ] simplifiying candidate # 60.103 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 60.103 * * [simplify]: iters left: 5 (7 enodes) 60.108 * * [simplify]: iters left: 4 (28 enodes) 60.118 * * [simplify]: iters left: 3 (39 enodes) 60.129 * * [simplify]: iters left: 2 (43 enodes) 60.142 * * [simplify]: Extracting #0: cost 1 inf + 0 60.142 * * [simplify]: Extracting #1: cost 7 inf + 0 60.142 * * [simplify]: Extracting #2: cost 16 inf + 0 60.142 * * [simplify]: Extracting #3: cost 15 inf + 164 60.142 * * [simplify]: Extracting #4: cost 13 inf + 287 60.142 * * [simplify]: Extracting #5: cost 5 inf + 1180 60.143 * * [simplify]: Extracting #6: cost 0 inf + 1951 60.144 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 60.144 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) (sqrt k))) 60.144 * * * * [progress]: [ 62 / 218 ] simplifiying candidate # 60.144 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 60.145 * * [simplify]: iters left: 5 (7 enodes) 60.149 * * [simplify]: iters left: 4 (28 enodes) 60.159 * * [simplify]: iters left: 3 (39 enodes) 60.172 * * [simplify]: iters left: 2 (43 enodes) 60.185 * * [simplify]: Extracting #0: cost 1 inf + 0 60.185 * * [simplify]: Extracting #1: cost 7 inf + 0 60.185 * * [simplify]: Extracting #2: cost 16 inf + 0 60.185 * * [simplify]: Extracting #3: cost 15 inf + 84 60.186 * * [simplify]: Extracting #4: cost 13 inf + 167 60.186 * * [simplify]: Extracting #5: cost 5 inf + 900 60.186 * * [simplify]: Extracting #6: cost 0 inf + 1551 60.187 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 60.187 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) (sqrt k))) 60.187 * * * * [progress]: [ 63 / 218 ] simplifiying candidate # 60.188 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 60.188 * * [simplify]: iters left: 5 (6 enodes) 60.192 * * [simplify]: iters left: 4 (26 enodes) 60.201 * * [simplify]: iters left: 3 (35 enodes) 60.212 * * [simplify]: Extracting #0: cost 1 inf + 0 60.212 * * [simplify]: Extracting #1: cost 6 inf + 0 60.212 * * [simplify]: Extracting #2: cost 9 inf + 2 60.212 * * [simplify]: Extracting #3: cost 11 inf + 3 60.212 * * [simplify]: Extracting #4: cost 10 inf + 4 60.212 * * [simplify]: Extracting #5: cost 3 inf + 535 60.213 * * [simplify]: Extracting #6: cost 0 inf + 822 60.213 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 60.213 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt k))) 60.213 * * * * [progress]: [ 64 / 218 ] simplifiying candidate # 60.213 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 60.214 * * [simplify]: iters left: 4 (6 enodes) 60.217 * * [simplify]: iters left: 3 (25 enodes) 60.227 * * [simplify]: iters left: 2 (36 enodes) 60.238 * * [simplify]: iters left: 1 (40 enodes) 60.250 * * [simplify]: Extracting #0: cost 1 inf + 0 60.251 * * [simplify]: Extracting #1: cost 7 inf + 0 60.251 * * [simplify]: Extracting #2: cost 16 inf + 0 60.251 * * [simplify]: Extracting #3: cost 13 inf + 44 60.251 * * [simplify]: Extracting #4: cost 3 inf + 1103 60.252 * * [simplify]: Extracting #5: cost 0 inf + 1469 60.252 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 60.252 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) (sqrt k))) 60.252 * * * * [progress]: [ 65 / 218 ] simplifiying candidate # 60.253 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 60.253 * * [simplify]: iters left: 4 (6 enodes) 60.257 * * [simplify]: iters left: 3 (25 enodes) 60.269 * * [simplify]: iters left: 2 (36 enodes) 60.281 * * [simplify]: iters left: 1 (40 enodes) 60.293 * * [simplify]: Extracting #0: cost 1 inf + 0 60.293 * * [simplify]: Extracting #1: cost 7 inf + 0 60.293 * * [simplify]: Extracting #2: cost 16 inf + 0 60.294 * * [simplify]: Extracting #3: cost 13 inf + 44 60.294 * * [simplify]: Extracting #4: cost 3 inf + 823 60.294 * * [simplify]: Extracting #5: cost 0 inf + 1069 60.295 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 60.295 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) (sqrt k))) 60.295 * * * * [progress]: [ 66 / 218 ] simplifiying candidate # 60.296 * [simplify]: Simplifying (/ (- 1 k) 2) 60.296 * * [simplify]: iters left: 4 (5 enodes) 60.300 * * [simplify]: iters left: 3 (23 enodes) 60.309 * * [simplify]: iters left: 2 (32 enodes) 60.318 * * [simplify]: Extracting #0: cost 1 inf + 0 60.319 * * [simplify]: Extracting #1: cost 6 inf + 0 60.319 * * [simplify]: Extracting #2: cost 9 inf + 2 60.319 * * [simplify]: Extracting #3: cost 6 inf + 87 60.319 * * [simplify]: Extracting #4: cost 0 inf + 420 60.319 * [simplify]: Simplified to (/ (- 1 k) 2) 60.319 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 1)) (/ (- 1 k) 2)))) (sqrt k))) 60.320 * * * * [progress]: [ 67 / 218 ] simplifiying candidate # 60.320 * [simplify]: Simplifying (/ (- 1 k) 2) 60.320 * * [simplify]: iters left: 4 (5 enodes) 60.324 * * [simplify]: iters left: 3 (23 enodes) 60.333 * * [simplify]: iters left: 2 (32 enodes) 60.343 * * [simplify]: Extracting #0: cost 1 inf + 0 60.343 * * [simplify]: Extracting #1: cost 6 inf + 0 60.343 * * [simplify]: Extracting #2: cost 9 inf + 2 60.343 * * [simplify]: Extracting #3: cost 6 inf + 87 60.343 * * [simplify]: Extracting #4: cost 0 inf + 420 60.344 * [simplify]: Simplified to (/ (- 1 k) 2) 60.344 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI 1) (/ (- 1 k) 2)))) (sqrt k))) 60.344 * * * * [progress]: [ 68 / 218 ] simplifiying candidate # 60.344 * [simplify]: Simplifying (/ 1 2) 60.344 * * [simplify]: iters left: 2 (3 enodes) 60.347 * * [simplify]: iters left: 1 (12 enodes) 60.352 * * [simplify]: Extracting #0: cost 1 inf + 0 60.352 * * [simplify]: Extracting #1: cost 0 inf + 1 60.352 * [simplify]: Simplified to 1/2 60.352 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (- 1 k)) 1/2))) (sqrt k))) 60.352 * * * * [progress]: [ 69 / 218 ] simplifiying candidate # 60.353 * [simplify]: Simplifying (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) 60.353 * * [simplify]: iters left: 5 (9 enodes) 60.359 * * [simplify]: iters left: 4 (38 enodes) 60.373 * * [simplify]: iters left: 3 (63 enodes) 60.395 * * [simplify]: iters left: 2 (98 enodes) 60.434 * * [simplify]: iters left: 1 (167 enodes) 60.492 * * [simplify]: Extracting #0: cost 1 inf + 0 60.492 * * [simplify]: Extracting #1: cost 13 inf + 0 60.492 * * [simplify]: Extracting #2: cost 54 inf + 1 60.493 * * [simplify]: Extracting #3: cost 87 inf + 5 60.493 * * [simplify]: Extracting #4: cost 68 inf + 1334 60.494 * * [simplify]: Extracting #5: cost 40 inf + 5047 60.497 * * [simplify]: Extracting #6: cost 11 inf + 17686 60.500 * * [simplify]: Extracting #7: cost 0 inf + 25802 60.504 * [simplify]: Simplified to (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) 60.505 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (* (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) (pow (cbrt PI) (/ (- 1 k) 2))))) (sqrt k))) 60.505 * * * * [progress]: [ 70 / 218 ] simplifiying candidate # 60.505 * [simplify]: Simplifying (pow (sqrt PI) (/ (- 1 k) 2)) 60.505 * * [simplify]: iters left: 5 (8 enodes) 60.508 * * [simplify]: iters left: 4 (35 enodes) 60.518 * * [simplify]: iters left: 3 (56 enodes) 60.532 * * [simplify]: iters left: 2 (89 enodes) 60.554 * * [simplify]: iters left: 1 (175 enodes) 60.612 * * [simplify]: Extracting #0: cost 1 inf + 0 60.612 * * [simplify]: Extracting #1: cost 13 inf + 0 60.612 * * [simplify]: Extracting #2: cost 53 inf + 1 60.613 * * [simplify]: Extracting #3: cost 83 inf + 47 60.613 * * [simplify]: Extracting #4: cost 60 inf + 2914 60.616 * * [simplify]: Extracting #5: cost 14 inf + 15118 60.619 * * [simplify]: Extracting #6: cost 1 inf + 21571 60.622 * * [simplify]: Extracting #7: cost 0 inf + 21783 60.626 * [simplify]: Simplified to (pow (sqrt PI) (/ (- 1 k) 2)) 60.626 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (* (pow (sqrt PI) (/ (- 1 k) 2)) (pow (sqrt PI) (/ (- 1 k) 2))))) (sqrt k))) 60.626 * * * * [progress]: [ 71 / 218 ] simplifiying candidate # 60.626 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 60.626 * * [simplify]: iters left: 5 (6 enodes) 60.629 * * [simplify]: iters left: 4 (24 enodes) 60.633 * * [simplify]: iters left: 3 (33 enodes) 60.639 * * [simplify]: Extracting #0: cost 1 inf + 0 60.639 * * [simplify]: Extracting #1: cost 0 inf + 1 60.639 * [simplify]: Simplified to 1 60.639 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (* 1 (pow PI (/ (- 1 k) 2))))) (sqrt k))) 60.639 * * * * [progress]: [ 72 / 218 ] simplifiying candidate # 60.639 * * * * [progress]: [ 73 / 218 ] simplifiying candidate # 60.639 * * * * [progress]: [ 74 / 218 ] simplifiying candidate # 60.639 * * * * [progress]: [ 75 / 218 ] simplifiying candidate # 60.639 * * * * [progress]: [ 76 / 218 ] simplifiying candidate # 60.639 * * * * [progress]: [ 77 / 218 ] simplifiying candidate # 60.639 * * * * [progress]: [ 78 / 218 ] simplifiying candidate # 60.640 * * * * [progress]: [ 79 / 218 ] simplifiying candidate # 60.640 * * * * [progress]: [ 80 / 218 ] simplifiying candidate #real (real->posit16 (pow PI (/ (- 1 k) 2)))))) (sqrt k)))> 60.640 * * * * [progress]: [ 81 / 218 ] simplifiying candidate # 60.640 * * * * [progress]: [ 82 / 218 ] simplifiying candidate # 60.640 * * * * [progress]: [ 83 / 218 ] simplifiying candidate # 60.640 * [simplify]: Simplifying (* n (* 2 PI)) 60.640 * * [simplify]: iters left: 4 (5 enodes) 60.642 * * [simplify]: iters left: 3 (19 enodes) 60.645 * * [simplify]: iters left: 2 (27 enodes) 60.653 * * [simplify]: iters left: 1 (32 enodes) 60.657 * * [simplify]: Extracting #0: cost 1 inf + 0 60.657 * * [simplify]: Extracting #1: cost 8 inf + 0 60.657 * * [simplify]: Extracting #2: cost 7 inf + 45 60.657 * * [simplify]: Extracting #3: cost 0 inf + 421 60.657 * [simplify]: Simplified to (* (* PI 2) n) 60.657 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 60.658 * [simplify]: Simplifying (/ (- 1 k) 2) 60.658 * * [simplify]: iters left: 4 (5 enodes) 60.660 * * [simplify]: iters left: 3 (23 enodes) 60.664 * * [simplify]: iters left: 2 (32 enodes) 60.670 * * [simplify]: Extracting #0: cost 1 inf + 0 60.670 * * [simplify]: Extracting #1: cost 6 inf + 0 60.670 * * [simplify]: Extracting #2: cost 9 inf + 2 60.670 * * [simplify]: Extracting #3: cost 6 inf + 87 60.670 * * [simplify]: Extracting #4: cost 0 inf + 420 60.670 * [simplify]: Simplified to (/ (- 1 k) 2) 60.670 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 60.670 * * * * [progress]: [ 84 / 218 ] simplifiying candidate # 60.670 * * * * [progress]: [ 85 / 218 ] simplifiying candidate # 60.670 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 60.671 * * [simplify]: iters left: 6 (15 enodes) 60.675 * * [simplify]: iters left: 5 (70 enodes) 60.690 * * [simplify]: iters left: 4 (141 enodes) 60.742 * * [simplify]: iters left: 3 (237 enodes) 60.843 * * [simplify]: Extracting #0: cost 1 inf + 0 60.843 * * [simplify]: Extracting #1: cost 23 inf + 0 60.843 * * [simplify]: Extracting #2: cost 87 inf + 1 60.844 * * [simplify]: Extracting #3: cost 101 inf + 703 60.848 * * [simplify]: Extracting #4: cost 59 inf + 9978 60.857 * * [simplify]: Extracting #5: cost 2 inf + 21927 60.862 * * [simplify]: Extracting #6: cost 0 inf + 22378 60.868 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI)))) 60.868 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI))))) (sqrt k))) 60.868 * * * * [progress]: [ 86 / 218 ] simplifiying candidate # 60.868 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 60.868 * * [simplify]: iters left: 6 (15 enodes) 60.873 * * [simplify]: iters left: 5 (70 enodes) 60.890 * * [simplify]: iters left: 4 (141 enodes) 60.921 * * [simplify]: iters left: 3 (237 enodes) 61.010 * * [simplify]: Extracting #0: cost 1 inf + 0 61.010 * * [simplify]: Extracting #1: cost 23 inf + 0 61.011 * * [simplify]: Extracting #2: cost 87 inf + 1 61.011 * * [simplify]: Extracting #3: cost 101 inf + 703 61.014 * * [simplify]: Extracting #4: cost 59 inf + 9978 61.019 * * [simplify]: Extracting #5: cost 2 inf + 21927 61.025 * * [simplify]: Extracting #6: cost 0 inf + 22378 61.030 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI)))) 61.030 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI))))) (sqrt k))) 61.030 * * * * [progress]: [ 87 / 218 ] simplifiying candidate # 61.031 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 61.031 * * [simplify]: iters left: 6 (15 enodes) 61.037 * * [simplify]: iters left: 5 (70 enodes) 61.062 * * [simplify]: iters left: 4 (140 enodes) 61.110 * * [simplify]: iters left: 3 (276 enodes) 61.205 * * [simplify]: Extracting #0: cost 1 inf + 0 61.205 * * [simplify]: Extracting #1: cost 29 inf + 0 61.205 * * [simplify]: Extracting #2: cost 113 inf + 1 61.206 * * [simplify]: Extracting #3: cost 132 inf + 1613 61.210 * * [simplify]: Extracting #4: cost 70 inf + 18406 61.220 * * [simplify]: Extracting #5: cost 19 inf + 28758 61.228 * * [simplify]: Extracting #6: cost 1 inf + 36629 61.240 * * [simplify]: Extracting #7: cost 0 inf + 37004 61.253 * [simplify]: Simplified to (/ (* (- 1 k) (+ (+ (log n) (log PI)) (log 2))) 2) 61.253 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (+ (log n) (log PI)) (log 2))) 2)) (sqrt k))) 61.253 * * * * [progress]: [ 88 / 218 ] simplifiying candidate # 61.254 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 61.254 * * [simplify]: iters left: 6 (15 enodes) 61.259 * * [simplify]: iters left: 5 (70 enodes) 61.273 * * [simplify]: iters left: 4 (141 enodes) 61.309 * * [simplify]: iters left: 3 (237 enodes) 61.373 * * [simplify]: Extracting #0: cost 1 inf + 0 61.374 * * [simplify]: Extracting #1: cost 23 inf + 0 61.374 * * [simplify]: Extracting #2: cost 87 inf + 1 61.375 * * [simplify]: Extracting #3: cost 101 inf + 703 61.379 * * [simplify]: Extracting #4: cost 59 inf + 9978 61.384 * * [simplify]: Extracting #5: cost 2 inf + 21927 61.390 * * [simplify]: Extracting #6: cost 0 inf + 22378 61.396 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI)))) 61.396 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI))))) (sqrt k))) 61.396 * * * * [progress]: [ 89 / 218 ] simplifiying candidate # 61.396 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 61.396 * * [simplify]: iters left: 6 (15 enodes) 61.401 * * [simplify]: iters left: 5 (70 enodes) 61.422 * * [simplify]: iters left: 4 (141 enodes) 61.463 * * [simplify]: iters left: 3 (237 enodes) 61.526 * * [simplify]: Extracting #0: cost 1 inf + 0 61.526 * * [simplify]: Extracting #1: cost 23 inf + 0 61.526 * * [simplify]: Extracting #2: cost 87 inf + 1 61.526 * * [simplify]: Extracting #3: cost 101 inf + 703 61.529 * * [simplify]: Extracting #4: cost 59 inf + 9978 61.534 * * [simplify]: Extracting #5: cost 2 inf + 21927 61.539 * * [simplify]: Extracting #6: cost 0 inf + 22378 61.548 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI)))) 61.548 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI))))) (sqrt k))) 61.548 * * * * [progress]: [ 90 / 218 ] simplifiying candidate # 61.549 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 61.549 * * [simplify]: iters left: 6 (15 enodes) 61.558 * * [simplify]: iters left: 5 (70 enodes) 61.571 * * [simplify]: iters left: 4 (140 enodes) 61.606 * * [simplify]: iters left: 3 (276 enodes) 61.713 * * [simplify]: Extracting #0: cost 1 inf + 0 61.713 * * [simplify]: Extracting #1: cost 29 inf + 0 61.714 * * [simplify]: Extracting #2: cost 113 inf + 1 61.718 * * [simplify]: Extracting #3: cost 132 inf + 1613 61.721 * * [simplify]: Extracting #4: cost 70 inf + 18406 61.728 * * [simplify]: Extracting #5: cost 19 inf + 28758 61.741 * * [simplify]: Extracting #6: cost 1 inf + 36629 61.757 * * [simplify]: Extracting #7: cost 0 inf + 37004 61.773 * [simplify]: Simplified to (/ (* (- 1 k) (+ (+ (log n) (log PI)) (log 2))) 2) 61.773 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (+ (log n) (log PI)) (log 2))) 2)) (sqrt k))) 61.773 * * * * [progress]: [ 91 / 218 ] simplifiying candidate # 61.774 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 61.774 * * [simplify]: iters left: 6 (15 enodes) 61.784 * * [simplify]: iters left: 5 (69 enodes) 61.808 * * [simplify]: iters left: 4 (140 enodes) 61.844 * * [simplify]: iters left: 3 (276 enodes) 61.920 * * [simplify]: Extracting #0: cost 1 inf + 0 61.920 * * [simplify]: Extracting #1: cost 30 inf + 0 61.921 * * [simplify]: Extracting #2: cost 114 inf + 1 61.921 * * [simplify]: Extracting #3: cost 121 inf + 3836 61.928 * * [simplify]: Extracting #4: cost 70 inf + 17260 61.935 * * [simplify]: Extracting #5: cost 13 inf + 32919 61.944 * * [simplify]: Extracting #6: cost 1 inf + 37406 61.959 * * [simplify]: Extracting #7: cost 0 inf + 37779 61.975 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) 61.975 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI)))) (sqrt k))) 61.975 * * * * [progress]: [ 92 / 218 ] simplifiying candidate # 61.976 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 61.976 * * [simplify]: iters left: 6 (15 enodes) 61.985 * * [simplify]: iters left: 5 (69 enodes) 62.010 * * [simplify]: iters left: 4 (140 enodes) 62.067 * * [simplify]: iters left: 3 (276 enodes) 62.186 * * [simplify]: Extracting #0: cost 1 inf + 0 62.186 * * [simplify]: Extracting #1: cost 30 inf + 0 62.187 * * [simplify]: Extracting #2: cost 114 inf + 1 62.189 * * [simplify]: Extracting #3: cost 121 inf + 3836 62.196 * * [simplify]: Extracting #4: cost 70 inf + 17260 62.215 * * [simplify]: Extracting #5: cost 13 inf + 32919 62.230 * * [simplify]: Extracting #6: cost 1 inf + 37406 62.246 * * [simplify]: Extracting #7: cost 0 inf + 37779 62.262 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) 62.262 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI)))) (sqrt k))) 62.262 * * * * [progress]: [ 93 / 218 ] simplifiying candidate # 62.262 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))) 62.263 * * [simplify]: iters left: 6 (15 enodes) 62.272 * * [simplify]: iters left: 5 (70 enodes) 62.297 * * [simplify]: iters left: 4 (141 enodes) 62.353 * * [simplify]: iters left: 3 (301 enodes) 62.500 * * [simplify]: Extracting #0: cost 1 inf + 0 62.500 * * [simplify]: Extracting #1: cost 39 inf + 0 62.501 * * [simplify]: Extracting #2: cost 149 inf + 1 62.502 * * [simplify]: Extracting #3: cost 174 inf + 3255 62.507 * * [simplify]: Extracting #4: cost 87 inf + 25494 62.516 * * [simplify]: Extracting #5: cost 25 inf + 45400 62.527 * * [simplify]: Extracting #6: cost 1 inf + 56384 62.546 * * [simplify]: Extracting #7: cost 0 inf + 56239 62.557 * [simplify]: Simplified to (* (+ (log 2) (+ (log n) (log PI))) (/ (- 1 k) 2)) 62.557 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log 2) (+ (log n) (log PI))) (/ (- 1 k) 2))) (sqrt k))) 62.558 * * * * [progress]: [ 94 / 218 ] simplifiying candidate # 62.558 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 62.558 * * [simplify]: iters left: 6 (14 enodes) 62.562 * * [simplify]: iters left: 5 (64 enodes) 62.575 * * [simplify]: iters left: 4 (132 enodes) 62.630 * * [simplify]: iters left: 3 (305 enodes) 62.791 * * [simplify]: Extracting #0: cost 1 inf + 0 62.791 * * [simplify]: Extracting #1: cost 40 inf + 0 62.792 * * [simplify]: Extracting #2: cost 139 inf + 0 62.794 * * [simplify]: Extracting #3: cost 194 inf + 1273 62.800 * * [simplify]: Extracting #4: cost 177 inf + 20329 62.820 * * [simplify]: Extracting #5: cost 64 inf + 71215 62.855 * * [simplify]: Extracting #6: cost 5 inf + 104585 62.887 * * [simplify]: Extracting #7: cost 0 inf + 106633 62.919 * * [simplify]: Extracting #8: cost 0 inf + 105833 62.950 * * [simplify]: Extracting #9: cost 0 inf + 105673 62.981 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) 62.981 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2)))) (sqrt k))) 62.981 * * * * [progress]: [ 95 / 218 ] simplifiying candidate # 62.981 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 62.982 * * [simplify]: iters left: 6 (15 enodes) 62.995 * * [simplify]: iters left: 5 (70 enodes) 63.017 * * [simplify]: iters left: 4 (141 enodes) 63.043 * * [simplify]: iters left: 3 (237 enodes) 63.112 * * [simplify]: Extracting #0: cost 1 inf + 0 63.112 * * [simplify]: Extracting #1: cost 23 inf + 0 63.113 * * [simplify]: Extracting #2: cost 87 inf + 1 63.114 * * [simplify]: Extracting #3: cost 101 inf + 703 63.118 * * [simplify]: Extracting #4: cost 59 inf + 9978 63.128 * * [simplify]: Extracting #5: cost 2 inf + 21927 63.139 * * [simplify]: Extracting #6: cost 0 inf + 22378 63.150 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI)))) 63.150 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI))))) (sqrt k))) 63.150 * * * * [progress]: [ 96 / 218 ] simplifiying candidate # 63.150 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 63.151 * * [simplify]: iters left: 6 (15 enodes) 63.160 * * [simplify]: iters left: 5 (70 enodes) 63.182 * * [simplify]: iters left: 4 (141 enodes) 63.214 * * [simplify]: iters left: 3 (237 enodes) 63.276 * * [simplify]: Extracting #0: cost 1 inf + 0 63.277 * * [simplify]: Extracting #1: cost 23 inf + 0 63.277 * * [simplify]: Extracting #2: cost 87 inf + 1 63.278 * * [simplify]: Extracting #3: cost 101 inf + 703 63.282 * * [simplify]: Extracting #4: cost 59 inf + 9978 63.292 * * [simplify]: Extracting #5: cost 2 inf + 21927 63.307 * * [simplify]: Extracting #6: cost 0 inf + 22378 63.318 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI)))) 63.318 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI))))) (sqrt k))) 63.318 * * * * [progress]: [ 97 / 218 ] simplifiying candidate # 63.318 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 63.319 * * [simplify]: iters left: 6 (15 enodes) 63.328 * * [simplify]: iters left: 5 (70 enodes) 63.353 * * [simplify]: iters left: 4 (140 enodes) 63.400 * * [simplify]: iters left: 3 (276 enodes) 63.471 * * [simplify]: Extracting #0: cost 1 inf + 0 63.472 * * [simplify]: Extracting #1: cost 29 inf + 0 63.472 * * [simplify]: Extracting #2: cost 113 inf + 1 63.473 * * [simplify]: Extracting #3: cost 132 inf + 1613 63.476 * * [simplify]: Extracting #4: cost 70 inf + 18406 63.487 * * [simplify]: Extracting #5: cost 19 inf + 28758 63.501 * * [simplify]: Extracting #6: cost 1 inf + 36629 63.509 * * [simplify]: Extracting #7: cost 0 inf + 37004 63.520 * [simplify]: Simplified to (/ (* (- 1 k) (+ (+ (log n) (log PI)) (log 2))) 2) 63.520 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (+ (log n) (log PI)) (log 2))) 2)) (sqrt k))) 63.520 * * * * [progress]: [ 98 / 218 ] simplifiying candidate # 63.520 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 63.520 * * [simplify]: iters left: 6 (15 enodes) 63.526 * * [simplify]: iters left: 5 (70 enodes) 63.546 * * [simplify]: iters left: 4 (141 enodes) 63.596 * * [simplify]: iters left: 3 (237 enodes) 63.678 * * [simplify]: Extracting #0: cost 1 inf + 0 63.678 * * [simplify]: Extracting #1: cost 23 inf + 0 63.679 * * [simplify]: Extracting #2: cost 87 inf + 1 63.679 * * [simplify]: Extracting #3: cost 101 inf + 703 63.682 * * [simplify]: Extracting #4: cost 59 inf + 9978 63.687 * * [simplify]: Extracting #5: cost 2 inf + 21927 63.693 * * [simplify]: Extracting #6: cost 0 inf + 22378 63.702 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI)))) 63.702 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI))))) (sqrt k))) 63.702 * * * * [progress]: [ 99 / 218 ] simplifiying candidate # 63.702 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 63.703 * * [simplify]: iters left: 6 (15 enodes) 63.711 * * [simplify]: iters left: 5 (70 enodes) 63.735 * * [simplify]: iters left: 4 (141 enodes) 63.772 * * [simplify]: iters left: 3 (237 enodes) 63.832 * * [simplify]: Extracting #0: cost 1 inf + 0 63.832 * * [simplify]: Extracting #1: cost 23 inf + 0 63.832 * * [simplify]: Extracting #2: cost 87 inf + 1 63.833 * * [simplify]: Extracting #3: cost 101 inf + 703 63.835 * * [simplify]: Extracting #4: cost 59 inf + 9978 63.843 * * [simplify]: Extracting #5: cost 2 inf + 21927 63.849 * * [simplify]: Extracting #6: cost 0 inf + 22378 63.854 * [simplify]: Simplified to (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI)))) 63.854 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- 1 k) (/ 2 (+ (+ (log n) (log 2)) (log PI))))) (sqrt k))) 63.855 * * * * [progress]: [ 100 / 218 ] simplifiying candidate # 63.855 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 63.855 * * [simplify]: iters left: 6 (15 enodes) 63.864 * * [simplify]: iters left: 5 (70 enodes) 63.888 * * [simplify]: iters left: 4 (140 enodes) 63.915 * * [simplify]: iters left: 3 (276 enodes) 64.012 * * [simplify]: Extracting #0: cost 1 inf + 0 64.012 * * [simplify]: Extracting #1: cost 29 inf + 0 64.013 * * [simplify]: Extracting #2: cost 113 inf + 1 64.014 * * [simplify]: Extracting #3: cost 132 inf + 1613 64.021 * * [simplify]: Extracting #4: cost 70 inf + 18406 64.028 * * [simplify]: Extracting #5: cost 19 inf + 28758 64.036 * * [simplify]: Extracting #6: cost 1 inf + 36629 64.047 * * [simplify]: Extracting #7: cost 0 inf + 37004 64.059 * [simplify]: Simplified to (/ (* (- 1 k) (+ (+ (log n) (log PI)) (log 2))) 2) 64.059 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (+ (log n) (log PI)) (log 2))) 2)) (sqrt k))) 64.060 * * * * [progress]: [ 101 / 218 ] simplifiying candidate # 64.060 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 64.060 * * [simplify]: iters left: 6 (15 enodes) 64.070 * * [simplify]: iters left: 5 (69 enodes) 64.095 * * [simplify]: iters left: 4 (140 enodes) 64.145 * * [simplify]: iters left: 3 (276 enodes) 64.219 * * [simplify]: Extracting #0: cost 1 inf + 0 64.219 * * [simplify]: Extracting #1: cost 30 inf + 0 64.220 * * [simplify]: Extracting #2: cost 114 inf + 1 64.222 * * [simplify]: Extracting #3: cost 121 inf + 3836 64.229 * * [simplify]: Extracting #4: cost 70 inf + 17260 64.243 * * [simplify]: Extracting #5: cost 13 inf + 32919 64.258 * * [simplify]: Extracting #6: cost 1 inf + 37406 64.278 * * [simplify]: Extracting #7: cost 0 inf + 37779 64.294 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) 64.294 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI)))) (sqrt k))) 64.295 * * * * [progress]: [ 102 / 218 ] simplifiying candidate # 64.295 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 64.295 * * [simplify]: iters left: 6 (15 enodes) 64.305 * * [simplify]: iters left: 5 (69 enodes) 64.331 * * [simplify]: iters left: 4 (140 enodes) 64.383 * * [simplify]: iters left: 3 (276 enodes) 64.508 * * [simplify]: Extracting #0: cost 1 inf + 0 64.508 * * [simplify]: Extracting #1: cost 30 inf + 0 64.508 * * [simplify]: Extracting #2: cost 114 inf + 1 64.510 * * [simplify]: Extracting #3: cost 121 inf + 3836 64.518 * * [simplify]: Extracting #4: cost 70 inf + 17260 64.531 * * [simplify]: Extracting #5: cost 13 inf + 32919 64.546 * * [simplify]: Extracting #6: cost 1 inf + 37406 64.562 * * [simplify]: Extracting #7: cost 0 inf + 37779 64.582 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI))) 64.582 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (+ (log n) (log 2)) (log PI)))) (sqrt k))) 64.582 * * * * [progress]: [ 103 / 218 ] simplifiying candidate # 64.582 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))) 64.583 * * [simplify]: iters left: 6 (15 enodes) 64.592 * * [simplify]: iters left: 5 (70 enodes) 64.616 * * [simplify]: iters left: 4 (141 enodes) 64.658 * * [simplify]: iters left: 3 (301 enodes) 64.760 * * [simplify]: Extracting #0: cost 1 inf + 0 64.760 * * [simplify]: Extracting #1: cost 39 inf + 0 64.761 * * [simplify]: Extracting #2: cost 149 inf + 1 64.762 * * [simplify]: Extracting #3: cost 174 inf + 3255 64.767 * * [simplify]: Extracting #4: cost 87 inf + 25494 64.782 * * [simplify]: Extracting #5: cost 25 inf + 45400 64.805 * * [simplify]: Extracting #6: cost 1 inf + 56384 64.816 * * [simplify]: Extracting #7: cost 0 inf + 56239 64.827 * [simplify]: Simplified to (* (+ (log 2) (+ (log n) (log PI))) (/ (- 1 k) 2)) 64.827 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log 2) (+ (log n) (log PI))) (/ (- 1 k) 2))) (sqrt k))) 64.827 * * * * [progress]: [ 104 / 218 ] simplifiying candidate # 64.827 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 64.827 * * [simplify]: iters left: 6 (14 enodes) 64.832 * * [simplify]: iters left: 5 (64 enodes) 64.852 * * [simplify]: iters left: 4 (132 enodes) 64.878 * * [simplify]: iters left: 3 (305 enodes) 65.049 * * [simplify]: Extracting #0: cost 1 inf + 0 65.049 * * [simplify]: Extracting #1: cost 40 inf + 0 65.050 * * [simplify]: Extracting #2: cost 139 inf + 0 65.051 * * [simplify]: Extracting #3: cost 194 inf + 1273 65.057 * * [simplify]: Extracting #4: cost 177 inf + 20329 65.078 * * [simplify]: Extracting #5: cost 64 inf + 71215 65.104 * * [simplify]: Extracting #6: cost 5 inf + 104585 65.123 * * [simplify]: Extracting #7: cost 0 inf + 106633 65.147 * * [simplify]: Extracting #8: cost 0 inf + 105833 65.163 * * [simplify]: Extracting #9: cost 0 inf + 105673 65.187 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) 65.187 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2)))) (sqrt k))) 65.188 * * * * [progress]: [ 105 / 218 ] simplifiying candidate # 65.188 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 65.188 * * [simplify]: iters left: 6 (15 enodes) 65.198 * * [simplify]: iters left: 5 (71 enodes) 65.223 * * [simplify]: iters left: 4 (149 enodes) 65.280 * * [simplify]: iters left: 3 (291 enodes) 65.365 * * [simplify]: Extracting #0: cost 1 inf + 0 65.365 * * [simplify]: Extracting #1: cost 31 inf + 0 65.365 * * [simplify]: Extracting #2: cost 122 inf + 1 65.366 * * [simplify]: Extracting #3: cost 148 inf + 3110 65.370 * * [simplify]: Extracting #4: cost 79 inf + 19089 65.384 * * [simplify]: Extracting #5: cost 18 inf + 35347 65.393 * * [simplify]: Extracting #6: cost 1 inf + 41853 65.402 * * [simplify]: Extracting #7: cost 0 inf + 41828 65.413 * * [simplify]: Extracting #8: cost 0 inf + 41788 65.422 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) 65.422 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n)))) (sqrt k))) 65.422 * * * * [progress]: [ 106 / 218 ] simplifiying candidate # 65.422 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 65.423 * * [simplify]: iters left: 6 (15 enodes) 65.427 * * [simplify]: iters left: 5 (71 enodes) 65.450 * * [simplify]: iters left: 4 (149 enodes) 65.507 * * [simplify]: iters left: 3 (291 enodes) 65.605 * * [simplify]: Extracting #0: cost 1 inf + 0 65.605 * * [simplify]: Extracting #1: cost 31 inf + 0 65.605 * * [simplify]: Extracting #2: cost 122 inf + 1 65.607 * * [simplify]: Extracting #3: cost 148 inf + 3110 65.611 * * [simplify]: Extracting #4: cost 79 inf + 19089 65.618 * * [simplify]: Extracting #5: cost 18 inf + 35347 65.632 * * [simplify]: Extracting #6: cost 1 inf + 41853 65.649 * * [simplify]: Extracting #7: cost 0 inf + 41828 65.666 * * [simplify]: Extracting #8: cost 0 inf + 41788 65.675 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) 65.675 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n)))) (sqrt k))) 65.675 * * * * [progress]: [ 107 / 218 ] simplifiying candidate # 65.676 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 65.676 * * [simplify]: iters left: 6 (15 enodes) 65.681 * * [simplify]: iters left: 5 (70 enodes) 65.701 * * [simplify]: iters left: 4 (140 enodes) 65.755 * * [simplify]: iters left: 3 (301 enodes) 65.871 * * [simplify]: Extracting #0: cost 1 inf + 0 65.871 * * [simplify]: Extracting #1: cost 40 inf + 0 65.872 * * [simplify]: Extracting #2: cost 149 inf + 72 65.873 * * [simplify]: Extracting #3: cost 174 inf + 2947 65.878 * * [simplify]: Extracting #4: cost 92 inf + 23559 65.891 * * [simplify]: Extracting #5: cost 25 inf + 47684 65.902 * * [simplify]: Extracting #6: cost 2 inf + 57096 65.914 * * [simplify]: Extracting #7: cost 0 inf + 57000 65.924 * * [simplify]: Extracting #8: cost 0 inf + 56520 65.935 * [simplify]: Simplified to (* (+ (+ (log n) (log PI)) (log 2)) (/ (- 1 k) 2)) 65.935 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log n) (log PI)) (log 2)) (/ (- 1 k) 2))) (sqrt k))) 65.936 * * * * [progress]: [ 108 / 218 ] simplifiying candidate # 65.936 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 65.936 * * [simplify]: iters left: 6 (15 enodes) 65.941 * * [simplify]: iters left: 5 (71 enodes) 65.954 * * [simplify]: iters left: 4 (149 enodes) 65.986 * * [simplify]: iters left: 3 (291 enodes) 66.055 * * [simplify]: Extracting #0: cost 1 inf + 0 66.056 * * [simplify]: Extracting #1: cost 31 inf + 0 66.056 * * [simplify]: Extracting #2: cost 122 inf + 1 66.057 * * [simplify]: Extracting #3: cost 148 inf + 3110 66.061 * * [simplify]: Extracting #4: cost 79 inf + 19089 66.069 * * [simplify]: Extracting #5: cost 18 inf + 35347 66.084 * * [simplify]: Extracting #6: cost 1 inf + 41853 66.093 * * [simplify]: Extracting #7: cost 0 inf + 41828 66.102 * * [simplify]: Extracting #8: cost 0 inf + 41788 66.111 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) 66.111 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n)))) (sqrt k))) 66.111 * * * * [progress]: [ 109 / 218 ] simplifiying candidate # 66.111 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 66.111 * * [simplify]: iters left: 6 (15 enodes) 66.117 * * [simplify]: iters left: 5 (71 enodes) 66.145 * * [simplify]: iters left: 4 (149 enodes) 66.195 * * [simplify]: iters left: 3 (291 enodes) 66.285 * * [simplify]: Extracting #0: cost 1 inf + 0 66.285 * * [simplify]: Extracting #1: cost 31 inf + 0 66.286 * * [simplify]: Extracting #2: cost 122 inf + 1 66.287 * * [simplify]: Extracting #3: cost 148 inf + 3110 66.291 * * [simplify]: Extracting #4: cost 79 inf + 19089 66.302 * * [simplify]: Extracting #5: cost 18 inf + 35347 66.319 * * [simplify]: Extracting #6: cost 1 inf + 41853 66.328 * * [simplify]: Extracting #7: cost 0 inf + 41828 66.337 * * [simplify]: Extracting #8: cost 0 inf + 41788 66.349 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) 66.349 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n)))) (sqrt k))) 66.349 * * * * [progress]: [ 110 / 218 ] simplifiying candidate # 66.349 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 66.349 * * [simplify]: iters left: 6 (15 enodes) 66.354 * * [simplify]: iters left: 5 (70 enodes) 66.370 * * [simplify]: iters left: 4 (140 enodes) 66.403 * * [simplify]: iters left: 3 (301 enodes) 66.514 * * [simplify]: Extracting #0: cost 1 inf + 0 66.514 * * [simplify]: Extracting #1: cost 40 inf + 0 66.515 * * [simplify]: Extracting #2: cost 149 inf + 72 66.516 * * [simplify]: Extracting #3: cost 174 inf + 2947 66.521 * * [simplify]: Extracting #4: cost 92 inf + 23559 66.530 * * [simplify]: Extracting #5: cost 25 inf + 47684 66.548 * * [simplify]: Extracting #6: cost 2 inf + 57096 66.570 * * [simplify]: Extracting #7: cost 0 inf + 57000 66.591 * * [simplify]: Extracting #8: cost 0 inf + 56520 66.602 * [simplify]: Simplified to (* (+ (+ (log n) (log PI)) (log 2)) (/ (- 1 k) 2)) 66.602 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log n) (log PI)) (log 2)) (/ (- 1 k) 2))) (sqrt k))) 66.602 * * * * [progress]: [ 111 / 218 ] simplifiying candidate # 66.602 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 66.602 * * [simplify]: iters left: 6 (15 enodes) 66.607 * * [simplify]: iters left: 5 (69 enodes) 66.620 * * [simplify]: iters left: 4 (140 enodes) 66.669 * * [simplify]: iters left: 3 (301 enodes) 66.786 * * [simplify]: Extracting #0: cost 1 inf + 0 66.787 * * [simplify]: Extracting #1: cost 41 inf + 0 66.787 * * [simplify]: Extracting #2: cost 150 inf + 72 66.788 * * [simplify]: Extracting #3: cost 171 inf + 4350 66.794 * * [simplify]: Extracting #4: cost 108 inf + 23660 66.811 * * [simplify]: Extracting #5: cost 32 inf + 46689 66.832 * * [simplify]: Extracting #6: cost 4 inf + 56189 66.855 * * [simplify]: Extracting #7: cost 0 inf + 57708 66.876 * * [simplify]: Extracting #8: cost 0 inf + 57628 66.899 * [simplify]: Simplified to (* (+ (log 2) (+ (log PI) (log n))) (/ (- 1 k) 2)) 66.899 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log 2) (+ (log PI) (log n))) (/ (- 1 k) 2))) (sqrt k))) 66.899 * * * * [progress]: [ 112 / 218 ] simplifiying candidate # 66.899 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 66.900 * * [simplify]: iters left: 6 (15 enodes) 66.908 * * [simplify]: iters left: 5 (69 enodes) 66.937 * * [simplify]: iters left: 4 (140 enodes) 66.977 * * [simplify]: iters left: 3 (301 enodes) 67.090 * * [simplify]: Extracting #0: cost 1 inf + 0 67.090 * * [simplify]: Extracting #1: cost 41 inf + 0 67.091 * * [simplify]: Extracting #2: cost 150 inf + 72 67.094 * * [simplify]: Extracting #3: cost 171 inf + 4350 67.102 * * [simplify]: Extracting #4: cost 108 inf + 23660 67.119 * * [simplify]: Extracting #5: cost 32 inf + 46689 67.137 * * [simplify]: Extracting #6: cost 4 inf + 56189 67.153 * * [simplify]: Extracting #7: cost 0 inf + 57708 67.164 * * [simplify]: Extracting #8: cost 0 inf + 57628 67.176 * [simplify]: Simplified to (* (+ (log 2) (+ (log PI) (log n))) (/ (- 1 k) 2)) 67.176 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log 2) (+ (log PI) (log n))) (/ (- 1 k) 2))) (sqrt k))) 67.176 * * * * [progress]: [ 113 / 218 ] simplifiying candidate # 67.177 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))) 67.177 * * [simplify]: iters left: 6 (15 enodes) 67.181 * * [simplify]: iters left: 5 (70 enodes) 67.194 * * [simplify]: iters left: 4 (144 enodes) 67.247 * * [simplify]: iters left: 3 (317 enodes) 67.362 * * [simplify]: Extracting #0: cost 1 inf + 0 67.362 * * [simplify]: Extracting #1: cost 42 inf + 0 67.363 * * [simplify]: Extracting #2: cost 164 inf + 1 67.365 * * [simplify]: Extracting #3: cost 212 inf + 1866 67.372 * * [simplify]: Extracting #4: cost 163 inf + 17564 67.390 * * [simplify]: Extracting #5: cost 73 inf + 44305 67.416 * * [simplify]: Extracting #6: cost 6 inf + 73860 67.432 * * [simplify]: Extracting #7: cost 0 inf + 76707 67.446 * * [simplify]: Extracting #8: cost 0 inf + 76066 67.474 * * [simplify]: Extracting #9: cost 0 inf + 75906 67.490 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) 67.490 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n)))) (sqrt k))) 67.490 * * * * [progress]: [ 114 / 218 ] simplifiying candidate # 67.490 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 67.490 * * [simplify]: iters left: 6 (14 enodes) 67.495 * * [simplify]: iters left: 5 (64 enodes) 67.509 * * [simplify]: iters left: 4 (132 enodes) 67.536 * * [simplify]: iters left: 3 (317 enodes) 67.669 * * [simplify]: Extracting #0: cost 1 inf + 0 67.669 * * [simplify]: Extracting #1: cost 45 inf + 0 67.670 * * [simplify]: Extracting #2: cost 160 inf + 0 67.670 * * [simplify]: Extracting #3: cost 239 inf + 5 67.672 * * [simplify]: Extracting #4: cost 253 inf + 9786 67.687 * * [simplify]: Extracting #5: cost 118 inf + 56511 67.717 * * [simplify]: Extracting #6: cost 23 inf + 108151 67.746 * * [simplify]: Extracting #7: cost 0 inf + 123255 67.767 * * [simplify]: Extracting #8: cost 0 inf + 122294 67.794 * * [simplify]: Extracting #9: cost 0 inf + 122014 67.814 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) 67.815 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI))))) (sqrt k))) 67.815 * * * * [progress]: [ 115 / 218 ] simplifiying candidate # 67.815 * * * * [progress]: [ 116 / 218 ] simplifiying candidate # 67.815 * * * * [progress]: [ 117 / 218 ] simplifiying candidate # 67.815 * [simplify]: Simplifying (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 67.815 * * [simplify]: iters left: 6 (18 enodes) 67.826 * * [simplify]: iters left: 5 (86 enodes) 67.848 * * [simplify]: iters left: 4 (239 enodes) 67.978 * * [simplify]: Extracting #0: cost 1 inf + 0 67.979 * * [simplify]: Extracting #1: cost 60 inf + 0 67.980 * * [simplify]: Extracting #2: cost 317 inf + 0 67.983 * * [simplify]: Extracting #3: cost 345 inf + 4 67.986 * * [simplify]: Extracting #4: cost 350 inf + 9 67.993 * * [simplify]: Extracting #5: cost 300 inf + 20666 68.026 * * [simplify]: Extracting #6: cost 120 inf + 143149 68.090 * * [simplify]: Extracting #7: cost 1 inf + 243873 68.135 * * [simplify]: Extracting #8: cost 0 inf + 243550 68.175 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 2)) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 68.175 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (pow n (/ (- 1 k) 2)) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) (sqrt k))) 68.175 * * * * [progress]: [ 118 / 218 ] simplifiying candidate # 68.175 * [simplify]: Simplifying (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 68.175 * * [simplify]: iters left: 6 (16 enodes) 68.181 * * [simplify]: iters left: 5 (82 enodes) 68.208 * * [simplify]: iters left: 4 (251 enodes) 68.406 * * [simplify]: Extracting #0: cost 1 inf + 0 68.407 * * [simplify]: Extracting #1: cost 60 inf + 0 68.408 * * [simplify]: Extracting #2: cost 349 inf + 0 68.412 * * [simplify]: Extracting #3: cost 401 inf + 4 68.415 * * [simplify]: Extracting #4: cost 406 inf + 9 68.425 * * [simplify]: Extracting #5: cost 294 inf + 62904 68.455 * * [simplify]: Extracting #6: cost 57 inf + 250800 68.529 * * [simplify]: Extracting #7: cost 0 inf + 302779 68.573 * * [simplify]: Extracting #8: cost 0 inf + 302620 68.638 * [simplify]: Simplified to (* (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (* (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 68.638 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (* (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))))) (sqrt k))) 68.639 * * * * [progress]: [ 119 / 218 ] simplifiying candidate # 68.639 * * * * [progress]: [ 120 / 218 ] simplifiying candidate # 68.639 * * * * [progress]: [ 121 / 218 ] simplifiying candidate # 68.639 * * * * [progress]: [ 122 / 218 ] simplifiying candidate # 68.639 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) 68.639 * * [simplify]: iters left: 6 (10 enodes) 68.647 * * [simplify]: iters left: 5 (45 enodes) 68.675 * * [simplify]: iters left: 4 (127 enodes) 68.751 * * [simplify]: iters left: 3 (400 enodes) 69.003 * * [simplify]: Extracting #0: cost 1 inf + 0 69.003 * * [simplify]: Extracting #1: cost 80 inf + 0 69.005 * * [simplify]: Extracting #2: cost 331 inf + 0 69.008 * * [simplify]: Extracting #3: cost 321 inf + 700 69.014 * * [simplify]: Extracting #4: cost 247 inf + 29887 69.030 * * [simplify]: Extracting #5: cost 45 inf + 143361 69.045 * * [simplify]: Extracting #6: cost 0 inf + 171174 69.067 * * [simplify]: Extracting #7: cost 0 inf + 171134 69.096 * [simplify]: Simplified to (* (sqrt n) (* (sqrt PI) (sqrt 2))) 69.096 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt n) (* (sqrt PI) (sqrt 2))) (* (pow n (/ k 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2))))) (sqrt k))) 69.097 * [simplify]: Simplifying (* (pow n (/ k 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 69.097 * * [simplify]: iters left: 6 (10 enodes) 69.103 * * [simplify]: iters left: 5 (41 enodes) 69.118 * * [simplify]: iters left: 4 (95 enodes) 69.164 * * [simplify]: iters left: 3 (324 enodes) 69.568 * * [simplify]: Extracting #0: cost 1 inf + 0 69.568 * * [simplify]: Extracting #1: cost 95 inf + 0 69.571 * * [simplify]: Extracting #2: cost 400 inf + 0 69.574 * * [simplify]: Extracting #3: cost 415 inf + 4 69.582 * * [simplify]: Extracting #4: cost 341 inf + 32700 69.620 * * [simplify]: Extracting #5: cost 81 inf + 228878 69.686 * * [simplify]: Extracting #6: cost 0 inf + 297226 69.746 * * [simplify]: Extracting #7: cost 0 inf + 296046 69.785 * [simplify]: Simplified to (* (pow n (/ k 2)) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))) 69.785 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (sqrt n) (* (sqrt PI) (sqrt 2))) (* (pow n (/ k 2)) (* (pow PI (/ k 2)) (pow 2 (/ k 2))))) (sqrt k))) 69.785 * * * * [progress]: [ 123 / 218 ] simplifiying candidate # 69.785 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) 69.786 * * [simplify]: iters left: 6 (13 enodes) 69.790 * * [simplify]: iters left: 5 (59 enodes) 69.822 * * [simplify]: iters left: 4 (146 enodes) 69.895 * * [simplify]: iters left: 3 (424 enodes) 70.205 * * [simplify]: Extracting #0: cost 1 inf + 0 70.205 * * [simplify]: Extracting #1: cost 79 inf + 0 70.208 * * [simplify]: Extracting #2: cost 333 inf + 0 70.211 * * [simplify]: Extracting #3: cost 345 inf + 424 70.221 * * [simplify]: Extracting #4: cost 328 inf + 7325 70.233 * * [simplify]: Extracting #5: cost 217 inf + 60649 70.272 * * [simplify]: Extracting #6: cost 19 inf + 196881 70.317 * * [simplify]: Extracting #7: cost 0 inf + 210813 70.362 * * [simplify]: Extracting #8: cost 0 inf + 210653 70.387 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (sqrt n)) 70.387 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (sqrt n)) (* (pow n (/ k 2)) (pow PI (/ k 2)))) (sqrt k))) 70.388 * [simplify]: Simplifying (* (pow n (/ k 2)) (pow PI (/ k 2))) 70.388 * * [simplify]: iters left: 5 (8 enodes) 70.390 * * [simplify]: iters left: 4 (30 enodes) 70.401 * * [simplify]: iters left: 3 (59 enodes) 70.426 * * [simplify]: iters left: 2 (149 enodes) 70.538 * * [simplify]: Extracting #0: cost 1 inf + 0 70.538 * * [simplify]: Extracting #1: cost 36 inf + 0 70.539 * * [simplify]: Extracting #2: cost 117 inf + 0 70.539 * * [simplify]: Extracting #3: cost 132 inf + 3 70.540 * * [simplify]: Extracting #4: cost 118 inf + 2611 70.547 * * [simplify]: Extracting #5: cost 60 inf + 29072 70.559 * * [simplify]: Extracting #6: cost 7 inf + 58797 70.573 * * [simplify]: Extracting #7: cost 0 inf + 64033 70.587 * * [simplify]: Extracting #8: cost 0 inf + 63950 70.602 * [simplify]: Simplified to (* (pow PI (/ k 2)) (pow n (/ k 2))) 70.602 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (sqrt n)) (* (pow PI (/ k 2)) (pow n (/ k 2)))) (sqrt k))) 70.602 * * * * [progress]: [ 124 / 218 ] simplifiying candidate # 70.602 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) 70.603 * * [simplify]: iters left: 6 (13 enodes) 70.612 * * [simplify]: iters left: 5 (59 enodes) 70.649 * * [simplify]: iters left: 4 (146 enodes) 70.731 * * [simplify]: iters left: 3 (425 enodes) 71.031 * * [simplify]: Extracting #0: cost 1 inf + 0 71.031 * * [simplify]: Extracting #1: cost 86 inf + 0 71.033 * * [simplify]: Extracting #2: cost 345 inf + 0 71.037 * * [simplify]: Extracting #3: cost 354 inf + 1191 71.041 * * [simplify]: Extracting #4: cost 325 inf + 14687 71.054 * * [simplify]: Extracting #5: cost 211 inf + 71775 71.089 * * [simplify]: Extracting #6: cost 53 inf + 176712 71.134 * * [simplify]: Extracting #7: cost 0 inf + 213091 71.171 * * [simplify]: Extracting #8: cost 0 inf + 213011 71.203 * [simplify]: Simplified to (* (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (sqrt n)) 71.203 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (sqrt n)) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) (sqrt k))) 71.203 * [simplify]: Simplifying (* (pow n (/ k 2)) (pow 2 (/ k 2))) 71.204 * * [simplify]: iters left: 5 (7 enodes) 71.208 * * [simplify]: iters left: 4 (27 enodes) 71.219 * * [simplify]: iters left: 3 (56 enodes) 71.243 * * [simplify]: iters left: 2 (144 enodes) 71.344 * * [simplify]: Extracting #0: cost 1 inf + 0 71.344 * * [simplify]: Extracting #1: cost 27 inf + 0 71.344 * * [simplify]: Extracting #2: cost 107 inf + 0 71.345 * * [simplify]: Extracting #3: cost 124 inf + 3 71.346 * * [simplify]: Extracting #4: cost 113 inf + 2147 71.350 * * [simplify]: Extracting #5: cost 72 inf + 15777 71.359 * * [simplify]: Extracting #6: cost 12 inf + 52284 71.371 * * [simplify]: Extracting #7: cost 0 inf + 59617 71.377 * [simplify]: Simplified to (* (pow n (/ k 2)) (pow 2 (/ k 2))) 71.377 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (sqrt n)) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) (sqrt k))) 71.377 * * * * [progress]: [ 125 / 218 ] simplifiying candidate # 71.377 * * * * [progress]: [ 126 / 218 ] simplifiying candidate # 71.377 * [simplify]: Simplifying (pow PI (/ (- 1 k) 2)) 71.377 * * [simplify]: iters left: 5 (7 enodes) 71.380 * * [simplify]: iters left: 4 (32 enodes) 71.387 * * [simplify]: iters left: 3 (57 enodes) 71.397 * * [simplify]: iters left: 2 (88 enodes) 71.427 * * [simplify]: iters left: 1 (156 enodes) 71.471 * * [simplify]: Extracting #0: cost 1 inf + 0 71.471 * * [simplify]: Extracting #1: cost 13 inf + 0 71.471 * * [simplify]: Extracting #2: cost 49 inf + 2 71.471 * * [simplify]: Extracting #3: cost 80 inf + 6 71.472 * * [simplify]: Extracting #4: cost 58 inf + 1840 71.473 * * [simplify]: Extracting #5: cost 22 inf + 9206 71.476 * * [simplify]: Extracting #6: cost 1 inf + 20886 71.481 * * [simplify]: Extracting #7: cost 0 inf + 21301 71.487 * * [simplify]: Extracting #8: cost 0 inf + 21130 71.494 * [simplify]: Simplified to (pow PI (/ (- 1 k) 2)) 71.494 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (sqrt k))) 71.494 * * * * [progress]: [ 127 / 218 ] simplifiying candidate # 71.495 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 71.495 * * [simplify]: iters left: 5 (9 enodes) 71.501 * * [simplify]: iters left: 4 (38 enodes) 71.514 * * [simplify]: iters left: 3 (63 enodes) 71.539 * * [simplify]: iters left: 2 (98 enodes) 71.572 * * [simplify]: iters left: 1 (167 enodes) 71.630 * * [simplify]: Extracting #0: cost 1 inf + 0 71.630 * * [simplify]: Extracting #1: cost 13 inf + 0 71.630 * * [simplify]: Extracting #2: cost 54 inf + 1 71.631 * * [simplify]: Extracting #3: cost 87 inf + 5 71.631 * * [simplify]: Extracting #4: cost 68 inf + 1334 71.632 * * [simplify]: Extracting #5: cost 40 inf + 5047 71.635 * * [simplify]: Extracting #6: cost 11 inf + 17686 71.638 * * [simplify]: Extracting #7: cost 0 inf + 25802 71.642 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 71.642 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (pow (cbrt n) (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt k))) 71.642 * * * * [progress]: [ 128 / 218 ] simplifiying candidate # 71.642 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 71.643 * * [simplify]: iters left: 5 (8 enodes) 71.645 * * [simplify]: iters left: 4 (35 enodes) 71.654 * * [simplify]: iters left: 3 (56 enodes) 71.666 * * [simplify]: iters left: 2 (89 enodes) 71.692 * * [simplify]: iters left: 1 (175 enodes) 71.732 * * [simplify]: Extracting #0: cost 1 inf + 0 71.732 * * [simplify]: Extracting #1: cost 13 inf + 0 71.732 * * [simplify]: Extracting #2: cost 53 inf + 1 71.732 * * [simplify]: Extracting #3: cost 83 inf + 47 71.733 * * [simplify]: Extracting #4: cost 60 inf + 2914 71.736 * * [simplify]: Extracting #5: cost 14 inf + 15118 71.743 * * [simplify]: Extracting #6: cost 1 inf + 21571 71.750 * * [simplify]: Extracting #7: cost 0 inf + 21783 71.756 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 71.756 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt n) (/ (- 1 k) 2)) (* (pow (sqrt n) (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt k))) 71.756 * * * * [progress]: [ 129 / 218 ] simplifiying candidate # 71.757 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 71.757 * * [simplify]: iters left: 5 (6 enodes) 71.765 * * [simplify]: iters left: 4 (24 enodes) 71.773 * * [simplify]: iters left: 3 (33 enodes) 71.782 * * [simplify]: Extracting #0: cost 1 inf + 0 71.782 * * [simplify]: Extracting #1: cost 0 inf + 1 71.782 * [simplify]: Simplified to 1 71.782 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt k))) 71.783 * * * * [progress]: [ 130 / 218 ] simplifiying candidate # 71.783 * [simplify]: Simplifying (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 71.783 * * [simplify]: iters left: 6 (9 enodes) 71.789 * * [simplify]: iters left: 5 (38 enodes) 71.799 * * [simplify]: iters left: 4 (63 enodes) 71.810 * * [simplify]: iters left: 3 (98 enodes) 71.831 * * [simplify]: iters left: 2 (167 enodes) 71.901 * * [simplify]: iters left: 1 (317 enodes) 72.000 * * [simplify]: Extracting #0: cost 1 inf + 0 72.000 * * [simplify]: Extracting #1: cost 3 inf + 0 72.000 * * [simplify]: Extracting #2: cost 5 inf + 0 72.000 * * [simplify]: Extracting #3: cost 30 inf + 0 72.000 * * [simplify]: Extracting #4: cost 100 inf + 2 72.001 * * [simplify]: Extracting #5: cost 139 inf + 8 72.002 * * [simplify]: Extracting #6: cost 126 inf + 1468 72.004 * * [simplify]: Extracting #7: cost 64 inf + 13749 72.014 * * [simplify]: Extracting #8: cost 4 inf + 52469 72.031 * * [simplify]: Extracting #9: cost 0 inf + 54607 72.048 * [simplify]: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 72.048 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt k))) 72.048 * * * * [progress]: [ 131 / 218 ] simplifiying candidate # 72.048 * [simplify]: Simplifying (sqrt (pow n (/ (- 1 k) 2))) 72.048 * * [simplify]: iters left: 6 (8 enodes) 72.053 * * [simplify]: iters left: 5 (35 enodes) 72.066 * * [simplify]: iters left: 4 (57 enodes) 72.089 * * [simplify]: iters left: 3 (90 enodes) 72.116 * * [simplify]: iters left: 2 (176 enodes) 72.154 * * [simplify]: iters left: 1 (339 enodes) 72.293 * * [simplify]: Extracting #0: cost 1 inf + 0 72.293 * * [simplify]: Extracting #1: cost 4 inf + 0 72.293 * * [simplify]: Extracting #2: cost 32 inf + 0 72.294 * * [simplify]: Extracting #3: cost 108 inf + 2 72.295 * * [simplify]: Extracting #4: cost 136 inf + 9 72.296 * * [simplify]: Extracting #5: cost 134 inf + 182 72.300 * * [simplify]: Extracting #6: cost 71 inf + 9517 72.307 * * [simplify]: Extracting #7: cost 38 inf + 21671 72.322 * * [simplify]: Extracting #8: cost 9 inf + 43354 72.337 * * [simplify]: Extracting #9: cost 0 inf + 50508 72.347 * * [simplify]: Extracting #10: cost 0 inf + 50376 72.356 * [simplify]: Simplified to (sqrt (pow n (/ (- 1 k) 2))) 72.356 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow n (/ (- 1 k) 2))) (* (sqrt (pow n (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt k))) 72.356 * * * * [progress]: [ 132 / 218 ] simplifiying candidate # 72.356 * * * * [progress]: [ 133 / 218 ] simplifiying candidate # 72.356 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 72.356 * * [simplify]: iters left: 6 (8 enodes) 72.360 * * [simplify]: iters left: 5 (38 enodes) 72.374 * * [simplify]: iters left: 4 (66 enodes) 72.398 * * [simplify]: iters left: 3 (110 enodes) 72.440 * * [simplify]: iters left: 2 (200 enodes) 72.520 * * [simplify]: iters left: 1 (403 enodes) 72.719 * * [simplify]: Extracting #0: cost 1 inf + 0 72.719 * * [simplify]: Extracting #1: cost 26 inf + 0 72.720 * * [simplify]: Extracting #2: cost 100 inf + 2 72.720 * * [simplify]: Extracting #3: cost 164 inf + 10 72.721 * * [simplify]: Extracting #4: cost 163 inf + 641 72.724 * * [simplify]: Extracting #5: cost 72 inf + 12998 72.731 * * [simplify]: Extracting #6: cost 25 inf + 35040 72.739 * * [simplify]: Extracting #7: cost 0 inf + 54806 72.750 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 72.750 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/4 (/ k 4))) (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt k))) 72.750 * * * * [progress]: [ 134 / 218 ] simplifiying candidate # 72.751 * [simplify]: Simplifying (* (pow 2 (/ k 2)) (pow PI (/ k 2))) 72.751 * * [simplify]: iters left: 5 (7 enodes) 72.755 * * [simplify]: iters left: 4 (27 enodes) 72.770 * * [simplify]: iters left: 3 (56 enodes) 72.793 * * [simplify]: iters left: 2 (144 enodes) 72.887 * * [simplify]: Extracting #0: cost 1 inf + 0 72.887 * * [simplify]: Extracting #1: cost 27 inf + 0 72.887 * * [simplify]: Extracting #2: cost 107 inf + 0 72.888 * * [simplify]: Extracting #3: cost 124 inf + 3 72.888 * * [simplify]: Extracting #4: cost 114 inf + 2145 72.890 * * [simplify]: Extracting #5: cost 83 inf + 10231 72.893 * * [simplify]: Extracting #6: cost 29 inf + 39117 72.898 * * [simplify]: Extracting #7: cost 2 inf + 58279 72.905 * * [simplify]: Extracting #8: cost 0 inf + 59617 72.911 * [simplify]: Simplified to (* (pow 2 (/ k 2)) (pow PI (/ k 2))) 72.911 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) (sqrt k))) 72.911 * * * * [progress]: [ 135 / 218 ] simplifiying candidate # 72.911 * [simplify]: Simplifying (pow PI (/ k 2)) 72.911 * * [simplify]: iters left: 3 (5 enodes) 72.913 * * [simplify]: iters left: 2 (18 enodes) 72.918 * * [simplify]: iters left: 1 (30 enodes) 72.928 * * [simplify]: Extracting #0: cost 1 inf + 0 72.928 * * [simplify]: Extracting #1: cost 10 inf + 0 72.929 * * [simplify]: Extracting #2: cost 23 inf + 1 72.929 * * [simplify]: Extracting #3: cost 23 inf + 46 72.929 * * [simplify]: Extracting #4: cost 11 inf + 1346 72.930 * * [simplify]: Extracting #5: cost 1 inf + 3938 72.931 * * [simplify]: Extracting #6: cost 0 inf + 4111 72.932 * * [simplify]: Extracting #7: cost 0 inf + 4070 72.933 * [simplify]: Simplified to (pow PI (/ k 2)) 72.933 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) (pow PI (/ k 2))) (sqrt k))) 72.933 * * * * [progress]: [ 136 / 218 ] simplifiying candidate # 72.933 * [simplify]: Simplifying (pow 2 (/ k 2)) 72.933 * * [simplify]: iters left: 3 (4 enodes) 72.936 * * [simplify]: iters left: 2 (15 enodes) 72.940 * * [simplify]: iters left: 1 (27 enodes) 72.945 * * [simplify]: Extracting #0: cost 1 inf + 0 72.945 * * [simplify]: Extracting #1: cost 10 inf + 0 72.945 * * [simplify]: Extracting #2: cost 22 inf + 1 72.945 * * [simplify]: Extracting #3: cost 23 inf + 45 72.946 * * [simplify]: Extracting #4: cost 9 inf + 1889 72.946 * * [simplify]: Extracting #5: cost 1 inf + 3931 72.946 * * [simplify]: Extracting #6: cost 0 inf + 4105 72.947 * * [simplify]: Extracting #7: cost 0 inf + 4065 72.948 * [simplify]: Simplified to (pow 2 (/ k 2)) 72.948 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) (pow 2 (/ k 2))) (sqrt k))) 72.948 * * * * [progress]: [ 137 / 218 ] simplifiying candidate # 72.948 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 72.948 * * [simplify]: iters left: 6 (13 enodes) 72.953 * * [simplify]: iters left: 5 (59 enodes) 72.965 * * [simplify]: iters left: 4 (136 enodes) 73.009 * * [simplify]: iters left: 3 (395 enodes) 73.317 * * [simplify]: Extracting #0: cost 1 inf + 0 73.318 * * [simplify]: Extracting #1: cost 89 inf + 0 73.319 * * [simplify]: Extracting #2: cost 371 inf + 0 73.321 * * [simplify]: Extracting #3: cost 385 inf + 90 73.323 * * [simplify]: Extracting #4: cost 379 inf + 2464 73.331 * * [simplify]: Extracting #5: cost 244 inf + 82821 73.376 * * [simplify]: Extracting #6: cost 41 inf + 231059 73.412 * * [simplify]: Extracting #7: cost 0 inf + 263386 73.476 * * [simplify]: Extracting #8: cost 0 inf + 263176 73.511 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt n)) 73.511 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt n)) (pow n (/ k 2))) (sqrt k))) 73.511 * * * * [progress]: [ 138 / 218 ] simplifiying candidate #real (real->posit16 (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (sqrt k)))> 73.511 * * * * [progress]: [ 139 / 218 ] simplifiying candidate # 73.511 * * * * [progress]: [ 140 / 218 ] simplifiying candidate # 73.511 * * * * [progress]: [ 141 / 218 ] simplifiying candidate # 73.511 * * * * [progress]: [ 142 / 218 ] simplifiying candidate # 73.511 * * * * [progress]: [ 143 / 218 ] simplifiying candidate # 73.511 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 73.512 * * [simplify]: iters left: 6 (18 enodes) 73.519 * * [simplify]: iters left: 5 (83 enodes) 73.550 * * [simplify]: iters left: 4 (176 enodes) 73.621 * * [simplify]: iters left: 3 (328 enodes) 73.780 * * [simplify]: Extracting #0: cost 1 inf + 0 73.780 * * [simplify]: Extracting #1: cost 32 inf + 0 73.781 * * [simplify]: Extracting #2: cost 112 inf + 0 73.782 * * [simplify]: Extracting #3: cost 124 inf + 1606 73.790 * * [simplify]: Extracting #4: cost 55 inf + 18900 73.806 * * [simplify]: Extracting #5: cost 2 inf + 31037 73.824 * * [simplify]: Extracting #6: cost 0 inf + 31827 73.840 * [simplify]: Simplified to (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))) 73.840 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))))) 73.840 * * * * [progress]: [ 144 / 218 ] simplifiying candidate # 73.840 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 73.840 * * [simplify]: iters left: 6 (18 enodes) 73.846 * * [simplify]: iters left: 5 (83 enodes) 73.862 * * [simplify]: iters left: 4 (176 enodes) 73.912 * * [simplify]: iters left: 3 (328 enodes) 74.038 * * [simplify]: Extracting #0: cost 1 inf + 0 74.038 * * [simplify]: Extracting #1: cost 32 inf + 0 74.039 * * [simplify]: Extracting #2: cost 112 inf + 0 74.041 * * [simplify]: Extracting #3: cost 124 inf + 1606 74.048 * * [simplify]: Extracting #4: cost 55 inf + 18900 74.060 * * [simplify]: Extracting #5: cost 2 inf + 31037 74.070 * * [simplify]: Extracting #6: cost 0 inf + 31827 74.082 * [simplify]: Simplified to (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))) 74.082 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))))) 74.082 * * * * [progress]: [ 145 / 218 ] simplifiying candidate # 74.082 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 74.083 * * [simplify]: iters left: 6 (18 enodes) 74.088 * * [simplify]: iters left: 5 (83 enodes) 74.111 * * [simplify]: iters left: 4 (178 enodes) 74.167 * * [simplify]: iters left: 3 (376 enodes) 74.313 * * [simplify]: Extracting #0: cost 1 inf + 0 74.314 * * [simplify]: Extracting #1: cost 50 inf + 0 74.314 * * [simplify]: Extracting #2: cost 164 inf + 0 74.315 * * [simplify]: Extracting #3: cost 184 inf + 1163 74.320 * * [simplify]: Extracting #4: cost 104 inf + 23395 74.331 * * [simplify]: Extracting #5: cost 24 inf + 48424 74.349 * * [simplify]: Extracting #6: cost 1 inf + 58987 74.375 * * [simplify]: Extracting #7: cost 0 inf + 59184 74.396 * * [simplify]: Extracting #8: cost 0 inf + 59143 74.410 * [simplify]: Simplified to (- (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)) (log (sqrt k))) 74.410 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)) (log (sqrt k))))) 74.410 * * * * [progress]: [ 146 / 218 ] simplifiying candidate # 74.410 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 74.410 * * [simplify]: iters left: 6 (18 enodes) 74.416 * * [simplify]: iters left: 5 (83 enodes) 74.447 * * [simplify]: iters left: 4 (176 enodes) 74.504 * * [simplify]: iters left: 3 (328 enodes) 74.652 * * [simplify]: Extracting #0: cost 1 inf + 0 74.652 * * [simplify]: Extracting #1: cost 32 inf + 0 74.653 * * [simplify]: Extracting #2: cost 112 inf + 0 74.654 * * [simplify]: Extracting #3: cost 124 inf + 1606 74.663 * * [simplify]: Extracting #4: cost 55 inf + 18900 74.677 * * [simplify]: Extracting #5: cost 2 inf + 31037 74.686 * * [simplify]: Extracting #6: cost 0 inf + 31827 74.695 * [simplify]: Simplified to (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))) 74.695 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))))) 74.695 * * * * [progress]: [ 147 / 218 ] simplifiying candidate # 74.695 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 74.695 * * [simplify]: iters left: 6 (18 enodes) 74.701 * * [simplify]: iters left: 5 (83 enodes) 75.078 * * [simplify]: iters left: 4 (176 enodes) 75.141 * * [simplify]: iters left: 3 (328 enodes) 75.235 * * [simplify]: Extracting #0: cost 1 inf + 0 75.235 * * [simplify]: Extracting #1: cost 32 inf + 0 75.235 * * [simplify]: Extracting #2: cost 112 inf + 0 75.236 * * [simplify]: Extracting #3: cost 124 inf + 1606 75.240 * * [simplify]: Extracting #4: cost 55 inf + 18900 75.249 * * [simplify]: Extracting #5: cost 2 inf + 31037 75.269 * * [simplify]: Extracting #6: cost 0 inf + 31827 75.286 * [simplify]: Simplified to (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))) 75.286 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))))) 75.286 * * * * [progress]: [ 148 / 218 ] simplifiying candidate # 75.287 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 75.287 * * [simplify]: iters left: 6 (18 enodes) 75.297 * * [simplify]: iters left: 5 (83 enodes) 75.328 * * [simplify]: iters left: 4 (178 enodes) 75.375 * * [simplify]: iters left: 3 (376 enodes) 75.519 * * [simplify]: Extracting #0: cost 1 inf + 0 75.520 * * [simplify]: Extracting #1: cost 50 inf + 0 75.521 * * [simplify]: Extracting #2: cost 164 inf + 0 75.523 * * [simplify]: Extracting #3: cost 184 inf + 1163 75.531 * * [simplify]: Extracting #4: cost 104 inf + 23395 75.553 * * [simplify]: Extracting #5: cost 24 inf + 48424 75.578 * * [simplify]: Extracting #6: cost 1 inf + 58987 75.608 * * [simplify]: Extracting #7: cost 0 inf + 59184 75.628 * * [simplify]: Extracting #8: cost 0 inf + 59143 75.642 * [simplify]: Simplified to (- (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)) (log (sqrt k))) 75.642 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)) (log (sqrt k))))) 75.642 * * * * [progress]: [ 149 / 218 ] simplifiying candidate # 75.642 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 75.642 * * [simplify]: iters left: 6 (18 enodes) 75.648 * * [simplify]: iters left: 5 (82 enodes) 75.675 * * [simplify]: iters left: 4 (178 enodes) 75.722 * * [simplify]: iters left: 3 (373 enodes) 75.873 * * [simplify]: Extracting #0: cost 1 inf + 0 75.873 * * [simplify]: Extracting #1: cost 46 inf + 0 75.874 * * [simplify]: Extracting #2: cost 161 inf + 0 75.876 * * [simplify]: Extracting #3: cost 174 inf + 2575 75.882 * * [simplify]: Extracting #4: cost 121 inf + 19132 75.892 * * [simplify]: Extracting #5: cost 20 inf + 54184 75.908 * * [simplify]: Extracting #6: cost 0 inf + 57480 75.922 * * [simplify]: Extracting #7: cost 0 inf + 57200 75.942 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))) 75.942 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))))) 75.942 * * * * [progress]: [ 150 / 218 ] simplifiying candidate # 75.943 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 75.943 * * [simplify]: iters left: 6 (18 enodes) 75.952 * * [simplify]: iters left: 5 (82 enodes) 75.973 * * [simplify]: iters left: 4 (178 enodes) 76.019 * * [simplify]: iters left: 3 (373 enodes) 76.160 * * [simplify]: Extracting #0: cost 1 inf + 0 76.160 * * [simplify]: Extracting #1: cost 46 inf + 0 76.161 * * [simplify]: Extracting #2: cost 161 inf + 0 76.163 * * [simplify]: Extracting #3: cost 174 inf + 2575 76.170 * * [simplify]: Extracting #4: cost 121 inf + 19132 76.189 * * [simplify]: Extracting #5: cost 20 inf + 54184 76.219 * * [simplify]: Extracting #6: cost 0 inf + 57480 76.232 * * [simplify]: Extracting #7: cost 0 inf + 57200 76.246 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))) 76.246 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))))) 76.247 * * * * [progress]: [ 151 / 218 ] simplifiying candidate # 76.247 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 76.247 * * [simplify]: iters left: 6 (18 enodes) 76.254 * * [simplify]: iters left: 5 (83 enodes) 76.270 * * [simplify]: iters left: 4 (179 enodes) 76.339 * * [simplify]: iters left: 3 (396 enodes) 76.529 * * [simplify]: Extracting #0: cost 1 inf + 0 76.529 * * [simplify]: Extracting #1: cost 61 inf + 0 76.531 * * [simplify]: Extracting #2: cost 208 inf + 0 76.533 * * [simplify]: Extracting #3: cost 222 inf + 4939 76.552 * * [simplify]: Extracting #4: cost 127 inf + 38253 76.583 * * [simplify]: Extracting #5: cost 28 inf + 75869 76.612 * * [simplify]: Extracting #6: cost 9 inf + 84215 76.630 * * [simplify]: Extracting #7: cost 0 inf + 88032 76.658 * * [simplify]: Extracting #8: cost 0 inf + 87831 76.695 * * [simplify]: Extracting #9: cost 0 inf + 87752 76.730 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))) 76.730 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))))) 76.731 * * * * [progress]: [ 152 / 218 ] simplifiying candidate # 76.731 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 76.731 * * [simplify]: iters left: 6 (17 enodes) 76.741 * * [simplify]: iters left: 5 (77 enodes) 76.760 * * [simplify]: iters left: 4 (165 enodes) 76.805 * * [simplify]: iters left: 3 (376 enodes) 77.007 * * [simplify]: Extracting #0: cost 1 inf + 0 77.007 * * [simplify]: Extracting #1: cost 52 inf + 0 77.008 * * [simplify]: Extracting #2: cost 193 inf + 0 77.010 * * [simplify]: Extracting #3: cost 217 inf + 8522 77.018 * * [simplify]: Extracting #4: cost 161 inf + 49135 77.036 * * [simplify]: Extracting #5: cost 52 inf + 102253 77.076 * * [simplify]: Extracting #6: cost 8 inf + 131347 77.122 * * [simplify]: Extracting #7: cost 0 inf + 134451 77.165 * * [simplify]: Extracting #8: cost 0 inf + 134411 77.209 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log n) (log PI)) (log 2))) (log (sqrt k))) 77.209 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log n) (log PI)) (log 2))) (log (sqrt k))))) 77.209 * * * * [progress]: [ 153 / 218 ] simplifiying candidate # 77.210 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 77.210 * * [simplify]: iters left: 6 (18 enodes) 77.221 * * [simplify]: iters left: 5 (83 enodes) 77.252 * * [simplify]: iters left: 4 (176 enodes) 77.311 * * [simplify]: iters left: 3 (328 enodes) 77.429 * * [simplify]: Extracting #0: cost 1 inf + 0 77.429 * * [simplify]: Extracting #1: cost 32 inf + 0 77.430 * * [simplify]: Extracting #2: cost 112 inf + 0 77.432 * * [simplify]: Extracting #3: cost 124 inf + 1606 77.439 * * [simplify]: Extracting #4: cost 55 inf + 18900 77.455 * * [simplify]: Extracting #5: cost 2 inf + 31037 77.473 * * [simplify]: Extracting #6: cost 0 inf + 31827 77.491 * [simplify]: Simplified to (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))) 77.491 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))))) 77.491 * * * * [progress]: [ 154 / 218 ] simplifiying candidate # 77.491 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 77.491 * * [simplify]: iters left: 6 (18 enodes) 77.506 * * [simplify]: iters left: 5 (83 enodes) 77.537 * * [simplify]: iters left: 4 (176 enodes) 77.578 * * [simplify]: iters left: 3 (328 enodes) 77.688 * * [simplify]: Extracting #0: cost 1 inf + 0 77.691 * * [simplify]: Extracting #1: cost 32 inf + 0 77.692 * * [simplify]: Extracting #2: cost 112 inf + 0 77.694 * * [simplify]: Extracting #3: cost 124 inf + 1606 77.702 * * [simplify]: Extracting #4: cost 55 inf + 18900 77.718 * * [simplify]: Extracting #5: cost 2 inf + 31037 77.736 * * [simplify]: Extracting #6: cost 0 inf + 31827 77.752 * [simplify]: Simplified to (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))) 77.753 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))))) 77.753 * * * * [progress]: [ 155 / 218 ] simplifiying candidate # 77.753 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 77.753 * * [simplify]: iters left: 6 (18 enodes) 77.764 * * [simplify]: iters left: 5 (83 enodes) 77.794 * * [simplify]: iters left: 4 (178 enodes) 77.863 * * [simplify]: iters left: 3 (376 enodes) 78.003 * * [simplify]: Extracting #0: cost 1 inf + 0 78.003 * * [simplify]: Extracting #1: cost 50 inf + 0 78.004 * * [simplify]: Extracting #2: cost 164 inf + 0 78.005 * * [simplify]: Extracting #3: cost 184 inf + 1163 78.009 * * [simplify]: Extracting #4: cost 104 inf + 23395 78.024 * * [simplify]: Extracting #5: cost 24 inf + 48424 78.044 * * [simplify]: Extracting #6: cost 1 inf + 58987 78.058 * * [simplify]: Extracting #7: cost 0 inf + 59184 78.071 * * [simplify]: Extracting #8: cost 0 inf + 59143 78.094 * [simplify]: Simplified to (- (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)) (log (sqrt k))) 78.094 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)) (log (sqrt k))))) 78.095 * * * * [progress]: [ 156 / 218 ] simplifiying candidate # 78.095 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 78.095 * * [simplify]: iters left: 6 (18 enodes) 78.105 * * [simplify]: iters left: 5 (83 enodes) 78.123 * * [simplify]: iters left: 4 (176 enodes) 78.185 * * [simplify]: iters left: 3 (328 enodes) 78.300 * * [simplify]: Extracting #0: cost 1 inf + 0 78.300 * * [simplify]: Extracting #1: cost 32 inf + 0 78.301 * * [simplify]: Extracting #2: cost 112 inf + 0 78.301 * * [simplify]: Extracting #3: cost 124 inf + 1606 78.305 * * [simplify]: Extracting #4: cost 55 inf + 18900 78.314 * * [simplify]: Extracting #5: cost 2 inf + 31037 78.335 * * [simplify]: Extracting #6: cost 0 inf + 31827 78.351 * [simplify]: Simplified to (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))) 78.351 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))))) 78.352 * * * * [progress]: [ 157 / 218 ] simplifiying candidate # 78.352 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 78.352 * * [simplify]: iters left: 6 (18 enodes) 78.358 * * [simplify]: iters left: 5 (83 enodes) 78.373 * * [simplify]: iters left: 4 (176 enodes) 78.434 * * [simplify]: iters left: 3 (328 enodes) 78.554 * * [simplify]: Extracting #0: cost 1 inf + 0 78.554 * * [simplify]: Extracting #1: cost 32 inf + 0 78.555 * * [simplify]: Extracting #2: cost 112 inf + 0 78.556 * * [simplify]: Extracting #3: cost 124 inf + 1606 78.560 * * [simplify]: Extracting #4: cost 55 inf + 18900 78.568 * * [simplify]: Extracting #5: cost 2 inf + 31037 78.581 * * [simplify]: Extracting #6: cost 0 inf + 31827 78.595 * [simplify]: Simplified to (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))) 78.595 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (+ (log PI) (+ (log n) (log 2))) (- 1 k)) 2) (log (sqrt k))))) 78.595 * * * * [progress]: [ 158 / 218 ] simplifiying candidate # 78.595 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 78.595 * * [simplify]: iters left: 6 (18 enodes) 78.600 * * [simplify]: iters left: 5 (83 enodes) 78.616 * * [simplify]: iters left: 4 (178 enodes) 78.663 * * [simplify]: iters left: 3 (376 enodes) 78.806 * * [simplify]: Extracting #0: cost 1 inf + 0 78.806 * * [simplify]: Extracting #1: cost 50 inf + 0 78.808 * * [simplify]: Extracting #2: cost 164 inf + 0 78.815 * * [simplify]: Extracting #3: cost 184 inf + 1163 78.823 * * [simplify]: Extracting #4: cost 104 inf + 23395 78.844 * * [simplify]: Extracting #5: cost 24 inf + 48424 78.870 * * [simplify]: Extracting #6: cost 1 inf + 58987 78.896 * * [simplify]: Extracting #7: cost 0 inf + 59184 78.922 * * [simplify]: Extracting #8: cost 0 inf + 59143 78.936 * [simplify]: Simplified to (- (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)) (log (sqrt k))) 78.936 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (+ (log PI) (log n)) (log 2)) (/ (- 1 k) 2)) (log (sqrt k))))) 78.936 * * * * [progress]: [ 159 / 218 ] simplifiying candidate # 78.936 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 78.936 * * [simplify]: iters left: 6 (18 enodes) 78.942 * * [simplify]: iters left: 5 (82 enodes) 78.959 * * [simplify]: iters left: 4 (178 enodes) 78.997 * * [simplify]: iters left: 3 (373 enodes) 79.129 * * [simplify]: Extracting #0: cost 1 inf + 0 79.130 * * [simplify]: Extracting #1: cost 46 inf + 0 79.131 * * [simplify]: Extracting #2: cost 161 inf + 0 79.133 * * [simplify]: Extracting #3: cost 174 inf + 2575 79.140 * * [simplify]: Extracting #4: cost 121 inf + 19132 79.159 * * [simplify]: Extracting #5: cost 20 inf + 54184 79.184 * * [simplify]: Extracting #6: cost 0 inf + 57480 79.209 * * [simplify]: Extracting #7: cost 0 inf + 57200 79.234 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))) 79.234 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))))) 79.234 * * * * [progress]: [ 160 / 218 ] simplifiying candidate # 79.234 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 79.235 * * [simplify]: iters left: 6 (18 enodes) 79.245 * * [simplify]: iters left: 5 (82 enodes) 79.267 * * [simplify]: iters left: 4 (178 enodes) 79.309 * * [simplify]: iters left: 3 (373 enodes) 79.447 * * [simplify]: Extracting #0: cost 1 inf + 0 79.448 * * [simplify]: Extracting #1: cost 46 inf + 0 79.448 * * [simplify]: Extracting #2: cost 161 inf + 0 79.450 * * [simplify]: Extracting #3: cost 174 inf + 2575 79.454 * * [simplify]: Extracting #4: cost 121 inf + 19132 79.464 * * [simplify]: Extracting #5: cost 20 inf + 54184 79.477 * * [simplify]: Extracting #6: cost 0 inf + 57480 79.495 * * [simplify]: Extracting #7: cost 0 inf + 57200 79.560 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))) 79.560 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))))) 79.560 * * * * [progress]: [ 161 / 218 ] simplifiying candidate # 79.560 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 79.560 * * [simplify]: iters left: 6 (18 enodes) 79.566 * * [simplify]: iters left: 5 (83 enodes) 79.584 * * [simplify]: iters left: 4 (179 enodes) 79.634 * * [simplify]: iters left: 3 (396 enodes) 79.815 * * [simplify]: Extracting #0: cost 1 inf + 0 79.815 * * [simplify]: Extracting #1: cost 61 inf + 0 79.816 * * [simplify]: Extracting #2: cost 208 inf + 0 79.819 * * [simplify]: Extracting #3: cost 222 inf + 4939 79.832 * * [simplify]: Extracting #4: cost 127 inf + 38253 79.848 * * [simplify]: Extracting #5: cost 28 inf + 75869 79.876 * * [simplify]: Extracting #6: cost 9 inf + 84215 79.913 * * [simplify]: Extracting #7: cost 0 inf + 88032 79.931 * * [simplify]: Extracting #8: cost 0 inf + 87831 79.948 * * [simplify]: Extracting #9: cost 0 inf + 87752 79.970 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))) 79.970 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))))) 79.970 * * * * [progress]: [ 162 / 218 ] simplifiying candidate # 79.971 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 79.971 * * [simplify]: iters left: 6 (17 enodes) 79.981 * * [simplify]: iters left: 5 (77 enodes) 80.011 * * [simplify]: iters left: 4 (165 enodes) 80.048 * * [simplify]: iters left: 3 (376 enodes) 80.273 * * [simplify]: Extracting #0: cost 1 inf + 0 80.273 * * [simplify]: Extracting #1: cost 52 inf + 0 80.274 * * [simplify]: Extracting #2: cost 193 inf + 0 80.276 * * [simplify]: Extracting #3: cost 217 inf + 8522 80.285 * * [simplify]: Extracting #4: cost 161 inf + 49135 80.319 * * [simplify]: Extracting #5: cost 52 inf + 102253 80.344 * * [simplify]: Extracting #6: cost 8 inf + 131347 80.384 * * [simplify]: Extracting #7: cost 0 inf + 134451 80.417 * * [simplify]: Extracting #8: cost 0 inf + 134411 80.444 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log n) (log PI)) (log 2))) (log (sqrt k))) 80.444 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log n) (log PI)) (log 2))) (log (sqrt k))))) 80.444 * * * * [progress]: [ 163 / 218 ] simplifiying candidate # 80.445 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 80.445 * * [simplify]: iters left: 6 (18 enodes) 80.457 * * [simplify]: iters left: 5 (84 enodes) 80.479 * * [simplify]: iters left: 4 (187 enodes) 80.524 * * [simplify]: iters left: 3 (389 enodes) 80.644 * * [simplify]: Extracting #0: cost 1 inf + 0 80.644 * * [simplify]: Extracting #1: cost 46 inf + 0 80.644 * * [simplify]: Extracting #2: cost 169 inf + 0 80.646 * * [simplify]: Extracting #3: cost 196 inf + 2723 80.651 * * [simplify]: Extracting #4: cost 109 inf + 23854 80.662 * * [simplify]: Extracting #5: cost 21 inf + 53625 80.682 * * [simplify]: Extracting #6: cost 3 inf + 59716 80.709 * * [simplify]: Extracting #7: cost 0 inf + 61718 80.726 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))) 80.726 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))))) 80.726 * * * * [progress]: [ 164 / 218 ] simplifiying candidate # 80.727 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 80.727 * * [simplify]: iters left: 6 (18 enodes) 80.732 * * [simplify]: iters left: 5 (84 enodes) 80.761 * * [simplify]: iters left: 4 (187 enodes) 80.807 * * [simplify]: iters left: 3 (389 enodes) 80.951 * * [simplify]: Extracting #0: cost 1 inf + 0 80.951 * * [simplify]: Extracting #1: cost 46 inf + 0 80.951 * * [simplify]: Extracting #2: cost 169 inf + 0 80.953 * * [simplify]: Extracting #3: cost 196 inf + 2723 80.957 * * [simplify]: Extracting #4: cost 109 inf + 23854 80.971 * * [simplify]: Extracting #5: cost 21 inf + 53625 80.999 * * [simplify]: Extracting #6: cost 3 inf + 59716 81.031 * * [simplify]: Extracting #7: cost 0 inf + 61718 81.053 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))) 81.053 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))))) 81.053 * * * * [progress]: [ 165 / 218 ] simplifiying candidate # 81.053 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 81.053 * * [simplify]: iters left: 6 (18 enodes) 81.059 * * [simplify]: iters left: 5 (83 enodes) 81.074 * * [simplify]: iters left: 4 (173 enodes) 81.127 * * [simplify]: iters left: 3 (404 enodes) 81.314 * * [simplify]: Extracting #0: cost 1 inf + 0 81.315 * * [simplify]: Extracting #1: cost 60 inf + 0 81.316 * * [simplify]: Extracting #2: cost 221 inf + 0 81.319 * * [simplify]: Extracting #3: cost 233 inf + 7010 81.336 * * [simplify]: Extracting #4: cost 122 inf + 48588 81.369 * * [simplify]: Extracting #5: cost 24 inf + 81091 81.388 * * [simplify]: Extracting #6: cost 1 inf + 89986 81.415 * * [simplify]: Extracting #7: cost 0 inf + 90198 81.443 * [simplify]: Simplified to (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)) (log (sqrt k))) 81.443 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 81.443 * * * * [progress]: [ 166 / 218 ] simplifiying candidate # 81.444 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 81.444 * * [simplify]: iters left: 6 (18 enodes) 81.449 * * [simplify]: iters left: 5 (84 enodes) 81.469 * * [simplify]: iters left: 4 (187 enodes) 81.523 * * [simplify]: iters left: 3 (389 enodes) 81.660 * * [simplify]: Extracting #0: cost 1 inf + 0 81.660 * * [simplify]: Extracting #1: cost 46 inf + 0 81.661 * * [simplify]: Extracting #2: cost 169 inf + 0 81.662 * * [simplify]: Extracting #3: cost 196 inf + 2723 81.667 * * [simplify]: Extracting #4: cost 109 inf + 23854 81.689 * * [simplify]: Extracting #5: cost 21 inf + 53625 81.717 * * [simplify]: Extracting #6: cost 3 inf + 59716 81.744 * * [simplify]: Extracting #7: cost 0 inf + 61718 81.759 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))) 81.759 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))))) 81.759 * * * * [progress]: [ 167 / 218 ] simplifiying candidate # 81.759 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 81.759 * * [simplify]: iters left: 6 (18 enodes) 81.764 * * [simplify]: iters left: 5 (84 enodes) 81.780 * * [simplify]: iters left: 4 (187 enodes) 81.848 * * [simplify]: iters left: 3 (389 enodes) 81.966 * * [simplify]: Extracting #0: cost 1 inf + 0 81.967 * * [simplify]: Extracting #1: cost 46 inf + 0 81.968 * * [simplify]: Extracting #2: cost 169 inf + 0 81.970 * * [simplify]: Extracting #3: cost 196 inf + 2723 81.979 * * [simplify]: Extracting #4: cost 109 inf + 23854 81.990 * * [simplify]: Extracting #5: cost 21 inf + 53625 82.008 * * [simplify]: Extracting #6: cost 3 inf + 59716 82.023 * * [simplify]: Extracting #7: cost 0 inf + 61718 82.038 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))) 82.038 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))))) 82.038 * * * * [progress]: [ 168 / 218 ] simplifiying candidate # 82.038 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 82.038 * * [simplify]: iters left: 6 (18 enodes) 82.044 * * [simplify]: iters left: 5 (83 enodes) 82.059 * * [simplify]: iters left: 4 (173 enodes) 82.100 * * [simplify]: iters left: 3 (404 enodes) 82.312 * * [simplify]: Extracting #0: cost 1 inf + 0 82.313 * * [simplify]: Extracting #1: cost 60 inf + 0 82.314 * * [simplify]: Extracting #2: cost 221 inf + 0 82.317 * * [simplify]: Extracting #3: cost 233 inf + 7010 82.334 * * [simplify]: Extracting #4: cost 122 inf + 48588 82.366 * * [simplify]: Extracting #5: cost 24 inf + 81091 82.385 * * [simplify]: Extracting #6: cost 1 inf + 89986 82.424 * * [simplify]: Extracting #7: cost 0 inf + 90198 82.458 * [simplify]: Simplified to (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)) (log (sqrt k))) 82.458 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 82.458 * * * * [progress]: [ 169 / 218 ] simplifiying candidate # 82.458 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 82.458 * * [simplify]: iters left: 6 (18 enodes) 82.463 * * [simplify]: iters left: 5 (82 enodes) 82.479 * * [simplify]: iters left: 4 (177 enodes) 82.544 * * [simplify]: iters left: 3 (404 enodes) 82.722 * * [simplify]: Extracting #0: cost 1 inf + 0 82.722 * * [simplify]: Extracting #1: cost 60 inf + 0 82.723 * * [simplify]: Extracting #2: cost 218 inf + 0 82.727 * * [simplify]: Extracting #3: cost 234 inf + 6628 82.737 * * [simplify]: Extracting #4: cost 104 inf + 50367 82.758 * * [simplify]: Extracting #5: cost 21 inf + 79967 82.793 * * [simplify]: Extracting #6: cost 8 inf + 85150 82.829 * * [simplify]: Extracting #7: cost 0 inf + 88856 82.866 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log 2) (+ (log PI) (log n)))) (log (sqrt k))) 82.866 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log 2) (+ (log PI) (log n)))) (log (sqrt k))))) 82.866 * * * * [progress]: [ 170 / 218 ] simplifiying candidate # 82.866 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 82.867 * * [simplify]: iters left: 6 (18 enodes) 82.877 * * [simplify]: iters left: 5 (82 enodes) 82.908 * * [simplify]: iters left: 4 (177 enodes) 82.954 * * [simplify]: iters left: 3 (404 enodes) 83.130 * * [simplify]: Extracting #0: cost 1 inf + 0 83.130 * * [simplify]: Extracting #1: cost 60 inf + 0 83.131 * * [simplify]: Extracting #2: cost 218 inf + 0 83.133 * * [simplify]: Extracting #3: cost 234 inf + 6628 83.142 * * [simplify]: Extracting #4: cost 104 inf + 50367 83.168 * * [simplify]: Extracting #5: cost 21 inf + 79967 83.188 * * [simplify]: Extracting #6: cost 8 inf + 85150 83.209 * * [simplify]: Extracting #7: cost 0 inf + 88856 83.244 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log 2) (+ (log PI) (log n)))) (log (sqrt k))) 83.244 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log 2) (+ (log PI) (log n)))) (log (sqrt k))))) 83.245 * * * * [progress]: [ 171 / 218 ] simplifiying candidate # 83.245 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 83.245 * * [simplify]: iters left: 6 (18 enodes) 83.255 * * [simplify]: iters left: 5 (83 enodes) 83.287 * * [simplify]: iters left: 4 (177 enodes) 83.335 * * [simplify]: iters left: 3 (428 enodes) 83.525 * * [simplify]: Extracting #0: cost 1 inf + 0 83.526 * * [simplify]: Extracting #1: cost 74 inf + 0 83.528 * * [simplify]: Extracting #2: cost 268 inf + 0 83.530 * * [simplify]: Extracting #3: cost 325 inf + 401 83.536 * * [simplify]: Extracting #4: cost 279 inf + 10996 83.565 * * [simplify]: Extracting #5: cost 107 inf + 71388 83.596 * * [simplify]: Extracting #6: cost 10 inf + 117996 83.622 * * [simplify]: Extracting #7: cost 0 inf + 122562 83.652 * [simplify]: Simplified to (- (* (+ (log 2) (+ (log PI) (log n))) (/ (- 1 k) 2)) (log (sqrt k))) 83.652 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log 2) (+ (log PI) (log n))) (/ (- 1 k) 2)) (log (sqrt k))))) 83.652 * * * * [progress]: [ 172 / 218 ] simplifiying candidate # 83.652 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 83.652 * * [simplify]: iters left: 6 (17 enodes) 83.657 * * [simplify]: iters left: 5 (77 enodes) 83.678 * * [simplify]: iters left: 4 (164 enodes) 83.712 * * [simplify]: iters left: 3 (396 enodes) 83.990 * * [simplify]: Extracting #0: cost 1 inf + 0 83.990 * * [simplify]: Extracting #1: cost 59 inf + 0 83.992 * * [simplify]: Extracting #2: cost 230 inf + 0 83.994 * * [simplify]: Extracting #3: cost 308 inf + 148 84.000 * * [simplify]: Extracting #4: cost 303 inf + 14918 84.025 * * [simplify]: Extracting #5: cost 155 inf + 73644 84.048 * * [simplify]: Extracting #6: cost 7 inf + 153409 84.098 * * [simplify]: Extracting #7: cost 0 inf + 156690 84.150 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))) 84.151 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))))) 84.151 * * * * [progress]: [ 173 / 218 ] simplifiying candidate # 84.151 * [simplify]: Simplifying (- (log (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 84.152 * * [simplify]: iters left: 6 (16 enodes) 84.160 * * [simplify]: iters left: 5 (72 enodes) 84.187 * * [simplify]: iters left: 4 (157 enodes) 84.232 * * [simplify]: iters left: 3 (487 enodes) 84.659 * * [simplify]: Extracting #0: cost 1 inf + 0 84.659 * * [simplify]: Extracting #1: cost 56 inf + 0 84.660 * * [simplify]: Extracting #2: cost 214 inf + 0 84.661 * * [simplify]: Extracting #3: cost 388 inf + 259 84.666 * * [simplify]: Extracting #4: cost 512 inf + 30086 84.705 * * [simplify]: Extracting #5: cost 261 inf + 196727 84.767 * * [simplify]: Extracting #6: cost 14 inf + 386590 84.846 * * [simplify]: Extracting #7: cost 0 inf + 392141 84.957 * * [simplify]: Extracting #8: cost 0 inf + 391979 85.037 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (* (/ (- 1 k) 2) (+ (log 2) (log PI))) (log (sqrt k)))) 85.037 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (* (/ (- 1 k) 2) (+ (log 2) (log PI))) (log (sqrt k)))))) 85.037 * * * * [progress]: [ 174 / 218 ] simplifiying candidate # 85.037 * * * * [progress]: [ 175 / 218 ] simplifiying candidate # 85.037 * * * * [progress]: [ 176 / 218 ] simplifiying candidate # 85.037 * [simplify]: Simplifying (/ (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 85.038 * * [simplify]: iters left: 6 (22 enodes) 85.047 * * [simplify]: iters left: 5 (104 enodes) 85.069 * * [simplify]: iters left: 4 (349 enodes) 85.365 * * [simplify]: Extracting #0: cost 1 inf + 0 85.365 * * [simplify]: Extracting #1: cost 211 inf + 0 85.367 * * [simplify]: Extracting #2: cost 626 inf + 123 85.370 * * [simplify]: Extracting #3: cost 752 inf + 249 85.379 * * [simplify]: Extracting #4: cost 723 inf + 13428 85.400 * * [simplify]: Extracting #5: cost 443 inf + 210996 85.491 * * [simplify]: Extracting #6: cost 45 inf + 522903 85.593 * * [simplify]: Extracting #7: cost 0 inf + 562419 85.723 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (/ (/ k (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 85.723 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow n (/ (- 1 k) 2)) (/ (/ k (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))))) 85.723 * * * * [progress]: [ 177 / 218 ] simplifiying candidate # 85.723 * [simplify]: Simplifying (/ (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 85.723 * * [simplify]: iters left: 6 (20 enodes) 85.730 * * [simplify]: iters left: 5 (100 enodes) 85.764 * * [simplify]: iters left: 4 (351 enodes) 86.037 * * [simplify]: Extracting #0: cost 1 inf + 0 86.038 * * [simplify]: Extracting #1: cost 178 inf + 0 86.041 * * [simplify]: Extracting #2: cost 629 inf + 1 86.045 * * [simplify]: Extracting #3: cost 761 inf + 127 86.049 * * [simplify]: Extracting #4: cost 741 inf + 5707 86.070 * * [simplify]: Extracting #5: cost 426 inf + 235710 86.170 * * [simplify]: Extracting #6: cost 27 inf + 576151 86.307 * * [simplify]: Extracting #7: cost 0 inf + 591547 86.419 * * [simplify]: Extracting #8: cost 0 inf + 590949 86.542 * * [simplify]: Extracting #9: cost 0 inf + 590909 86.663 * [simplify]: Simplified to (/ (* (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) (* k (sqrt k))) 86.663 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) (* k (sqrt k))))) 86.663 * * * * [progress]: [ 178 / 218 ] simplifiying candidate # 86.663 * [simplify]: Simplifying (/ (* (* (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 86.664 * * [simplify]: iters left: 6 (18 enodes) 86.669 * * [simplify]: iters left: 5 (89 enodes) 86.706 * * [simplify]: iters left: 4 (324 enodes) 87.094 * * [simplify]: Extracting #0: cost 1 inf + 0 87.095 * * [simplify]: Extracting #1: cost 252 inf + 0 87.097 * * [simplify]: Extracting #2: cost 859 inf + 123 87.104 * * [simplify]: Extracting #3: cost 1005 inf + 249 87.114 * * [simplify]: Extracting #4: cost 1006 inf + 337 87.131 * * [simplify]: Extracting #5: cost 988 inf + 4427 87.184 * * [simplify]: Extracting #6: cost 617 inf + 275952 87.325 * * [simplify]: Extracting #7: cost 22 inf + 809547 87.468 * * [simplify]: Extracting #8: cost 0 inf + 827341 87.687 * [simplify]: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (* (/ k (* (pow PI (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))))) 87.687 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow PI (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (* (/ k (* (pow PI (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))))))) 87.687 * * * * [progress]: [ 179 / 218 ] simplifiying candidate # 87.687 * * * * [progress]: [ 180 / 218 ] simplifiying candidate # 87.688 * * * * [progress]: [ 181 / 218 ] simplifiying candidate # 87.688 * * * * [progress]: [ 182 / 218 ] simplifiying candidate # 87.688 * * * * [progress]: [ 183 / 218 ] simplifiying candidate # 87.688 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 87.688 * * [simplify]: iters left: 6 (11 enodes) 87.692 * * [simplify]: iters left: 5 (46 enodes) 87.702 * * [simplify]: iters left: 4 (79 enodes) 87.731 * * [simplify]: iters left: 3 (135 enodes) 87.780 * * [simplify]: iters left: 2 (270 enodes) 87.868 * * [simplify]: Extracting #0: cost 1 inf + 0 87.868 * * [simplify]: Extracting #1: cost 56 inf + 0 87.869 * * [simplify]: Extracting #2: cost 151 inf + 0 87.870 * * [simplify]: Extracting #3: cost 211 inf + 3 87.872 * * [simplify]: Extracting #4: cost 182 inf + 8248 87.882 * * [simplify]: Extracting #5: cost 108 inf + 32321 87.899 * * [simplify]: Extracting #6: cost 40 inf + 73343 87.913 * * [simplify]: Extracting #7: cost 0 inf + 103841 87.928 * * [simplify]: Extracting #8: cost 0 inf + 103639 87.953 * * [simplify]: Extracting #9: cost 0 inf + 103517 87.980 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 87.980 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k))))) 87.981 * [simplify]: Simplifying (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k))) 87.981 * * [simplify]: iters left: 6 (12 enodes) 87.984 * * [simplify]: iters left: 5 (52 enodes) 87.994 * * [simplify]: iters left: 4 (100 enodes) 88.019 * * [simplify]: iters left: 3 (230 enodes) 88.144 * * [simplify]: Extracting #0: cost 1 inf + 0 88.144 * * [simplify]: Extracting #1: cost 65 inf + 0 88.145 * * [simplify]: Extracting #2: cost 183 inf + 0 88.146 * * [simplify]: Extracting #3: cost 214 inf + 3 88.149 * * [simplify]: Extracting #4: cost 190 inf + 5053 88.161 * * [simplify]: Extracting #5: cost 85 inf + 62477 88.189 * * [simplify]: Extracting #6: cost 1 inf + 124663 88.219 * * [simplify]: Extracting #7: cost 0 inf + 124209 88.251 * * [simplify]: Extracting #8: cost 0 inf + 124208 88.273 * [simplify]: Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (cbrt (sqrt k))) 88.273 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (cbrt (sqrt k))))) 88.273 * * * * [progress]: [ 184 / 218 ] simplifiying candidate # 88.274 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 88.274 * * [simplify]: iters left: 6 (11 enodes) 88.277 * * [simplify]: iters left: 5 (45 enodes) 88.285 * * [simplify]: iters left: 4 (72 enodes) 88.297 * * [simplify]: iters left: 3 (113 enodes) 88.322 * * [simplify]: iters left: 2 (202 enodes) 88.378 * * [simplify]: iters left: 1 (423 enodes) 88.611 * * [simplify]: Extracting #0: cost 1 inf + 0 88.611 * * [simplify]: Extracting #1: cost 45 inf + 0 88.612 * * [simplify]: Extracting #2: cost 135 inf + 0 88.613 * * [simplify]: Extracting #3: cost 200 inf + 4 88.616 * * [simplify]: Extracting #4: cost 178 inf + 4357 88.626 * * [simplify]: Extracting #5: cost 104 inf + 31155 88.646 * * [simplify]: Extracting #6: cost 30 inf + 80538 88.667 * * [simplify]: Extracting #7: cost 0 inf + 106837 88.685 * * [simplify]: Extracting #8: cost 0 inf + 104726 88.700 * * [simplify]: Extracting #9: cost 0 inf + 104144 88.726 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 88.727 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (cbrt k))))) 88.727 * [simplify]: Simplifying (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (cbrt k))) 88.727 * * [simplify]: iters left: 6 (12 enodes) 88.734 * * [simplify]: iters left: 5 (52 enodes) 88.748 * * [simplify]: iters left: 4 (100 enodes) 88.767 * * [simplify]: iters left: 3 (230 enodes) 88.917 * * [simplify]: Extracting #0: cost 1 inf + 0 88.917 * * [simplify]: Extracting #1: cost 65 inf + 0 88.918 * * [simplify]: Extracting #2: cost 183 inf + 0 88.920 * * [simplify]: Extracting #3: cost 214 inf + 3 88.923 * * [simplify]: Extracting #4: cost 190 inf + 5093 88.931 * * [simplify]: Extracting #5: cost 85 inf + 62557 88.946 * * [simplify]: Extracting #6: cost 1 inf + 124743 88.963 * * [simplify]: Extracting #7: cost 0 inf + 124289 88.985 * * [simplify]: Extracting #8: cost 0 inf + 124288 89.013 * [simplify]: Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt (cbrt k))) 89.013 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt (cbrt k))))) 89.013 * * * * [progress]: [ 185 / 218 ] simplifiying candidate # 89.014 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 89.014 * * [simplify]: iters left: 6 (10 enodes) 89.020 * * [simplify]: iters left: 5 (41 enodes) 89.038 * * [simplify]: iters left: 4 (68 enodes) 89.060 * * [simplify]: iters left: 3 (109 enodes) 89.090 * * [simplify]: iters left: 2 (194 enodes) 89.160 * * [simplify]: iters left: 1 (414 enodes) 89.354 * * [simplify]: Extracting #0: cost 1 inf + 0 89.355 * * [simplify]: Extracting #1: cost 45 inf + 0 89.355 * * [simplify]: Extracting #2: cost 141 inf + 0 89.358 * * [simplify]: Extracting #3: cost 206 inf + 4 89.362 * * [simplify]: Extracting #4: cost 180 inf + 9439 89.373 * * [simplify]: Extracting #5: cost 108 inf + 27286 89.395 * * [simplify]: Extracting #6: cost 36 inf + 72454 89.412 * * [simplify]: Extracting #7: cost 0 inf + 101831 89.429 * * [simplify]: Extracting #8: cost 0 inf + 101671 89.449 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 89.449 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))))) 89.450 * [simplify]: Simplifying (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))) 89.450 * * [simplify]: iters left: 6 (12 enodes) 89.457 * * [simplify]: iters left: 5 (52 enodes) 89.478 * * [simplify]: iters left: 4 (100 enodes) 89.500 * * [simplify]: iters left: 3 (230 enodes) 89.581 * * [simplify]: Extracting #0: cost 1 inf + 0 89.582 * * [simplify]: Extracting #1: cost 65 inf + 0 89.582 * * [simplify]: Extracting #2: cost 183 inf + 0 89.583 * * [simplify]: Extracting #3: cost 214 inf + 3 89.584 * * [simplify]: Extracting #4: cost 190 inf + 5053 89.594 * * [simplify]: Extracting #5: cost 85 inf + 61237 89.622 * * [simplify]: Extracting #6: cost 1 inf + 121663 89.650 * * [simplify]: Extracting #7: cost 0 inf + 121169 89.665 * * [simplify]: Extracting #8: cost 0 inf + 121168 89.679 * [simplify]: Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt (sqrt k))) 89.679 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt (sqrt k))))) 89.679 * * * * [progress]: [ 186 / 218 ] simplifiying candidate # 89.680 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 89.680 * * [simplify]: iters left: 6 (9 enodes) 89.686 * * [simplify]: iters left: 5 (38 enodes) 89.700 * * [simplify]: iters left: 4 (63 enodes) 89.723 * * [simplify]: iters left: 3 (100 enodes) 89.745 * * [simplify]: iters left: 2 (175 enodes) 89.783 * * [simplify]: iters left: 1 (360 enodes) 89.955 * * [simplify]: Extracting #0: cost 1 inf + 0 89.955 * * [simplify]: Extracting #1: cost 52 inf + 0 89.956 * * [simplify]: Extracting #2: cost 150 inf + 3 89.957 * * [simplify]: Extracting #3: cost 190 inf + 8 89.960 * * [simplify]: Extracting #4: cost 161 inf + 3039 89.965 * * [simplify]: Extracting #5: cost 116 inf + 9850 89.980 * * [simplify]: Extracting #6: cost 35 inf + 60283 90.002 * * [simplify]: Extracting #7: cost 2 inf + 86206 90.015 * * [simplify]: Extracting #8: cost 0 inf + 87719 90.033 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 90.033 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k)))) 90.034 * [simplify]: Simplifying (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k)) 90.034 * * [simplify]: iters left: 6 (11 enodes) 90.041 * * [simplify]: iters left: 5 (49 enodes) 90.058 * * [simplify]: iters left: 4 (97 enodes) 90.096 * * [simplify]: iters left: 3 (227 enodes) 90.203 * * [simplify]: Extracting #0: cost 1 inf + 0 90.203 * * [simplify]: Extracting #1: cost 64 inf + 0 90.204 * * [simplify]: Extracting #2: cost 183 inf + 0 90.205 * * [simplify]: Extracting #3: cost 211 inf + 45 90.206 * * [simplify]: Extracting #4: cost 188 inf + 5340 90.212 * * [simplify]: Extracting #5: cost 85 inf + 55137 90.232 * * [simplify]: Extracting #6: cost 11 inf + 106095 90.250 * * [simplify]: Extracting #7: cost 0 inf + 111566 90.272 * * [simplify]: Extracting #8: cost 0 inf + 110892 90.294 * [simplify]: Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt k)) 90.294 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt k)))) 90.294 * * * * [progress]: [ 187 / 218 ] simplifiying candidate # 90.294 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 90.294 * * [simplify]: iters left: 6 (10 enodes) 90.298 * * [simplify]: iters left: 5 (41 enodes) 90.306 * * [simplify]: iters left: 4 (68 enodes) 90.319 * * [simplify]: iters left: 3 (109 enodes) 90.354 * * [simplify]: iters left: 2 (194 enodes) 90.402 * * [simplify]: iters left: 1 (414 enodes) 90.592 * * [simplify]: Extracting #0: cost 1 inf + 0 90.592 * * [simplify]: Extracting #1: cost 45 inf + 0 90.593 * * [simplify]: Extracting #2: cost 141 inf + 0 90.595 * * [simplify]: Extracting #3: cost 206 inf + 4 90.598 * * [simplify]: Extracting #4: cost 180 inf + 9439 90.608 * * [simplify]: Extracting #5: cost 108 inf + 27286 90.620 * * [simplify]: Extracting #6: cost 36 inf + 72454 90.641 * * [simplify]: Extracting #7: cost 0 inf + 101831 90.663 * * [simplify]: Extracting #8: cost 0 inf + 101671 90.680 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 90.680 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))))) 90.680 * [simplify]: Simplifying (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))) 90.681 * * [simplify]: iters left: 6 (12 enodes) 90.686 * * [simplify]: iters left: 5 (52 enodes) 90.702 * * [simplify]: iters left: 4 (100 enodes) 90.722 * * [simplify]: iters left: 3 (230 enodes) 90.851 * * [simplify]: Extracting #0: cost 1 inf + 0 90.851 * * [simplify]: Extracting #1: cost 65 inf + 0 90.851 * * [simplify]: Extracting #2: cost 183 inf + 0 90.852 * * [simplify]: Extracting #3: cost 214 inf + 3 90.853 * * [simplify]: Extracting #4: cost 190 inf + 5053 90.860 * * [simplify]: Extracting #5: cost 85 inf + 61237 90.886 * * [simplify]: Extracting #6: cost 1 inf + 121663 90.914 * * [simplify]: Extracting #7: cost 0 inf + 121169 90.942 * * [simplify]: Extracting #8: cost 0 inf + 121168 90.972 * [simplify]: Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt (sqrt k))) 90.972 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt (sqrt k))))) 90.972 * * * * [progress]: [ 188 / 218 ] simplifiying candidate # 90.972 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 90.972 * * [simplify]: iters left: 6 (8 enodes) 90.978 * * [simplify]: iters left: 5 (33 enodes) 90.995 * * [simplify]: iters left: 4 (56 enodes) 91.015 * * [simplify]: iters left: 3 (98 enodes) 91.054 * * [simplify]: iters left: 2 (203 enodes) 91.117 * * [simplify]: iters left: 1 (443 enodes) 91.376 * * [simplify]: Extracting #0: cost 1 inf + 0 91.376 * * [simplify]: Extracting #1: cost 47 inf + 0 91.377 * * [simplify]: Extracting #2: cost 155 inf + 3 91.379 * * [simplify]: Extracting #3: cost 207 inf + 8 91.381 * * [simplify]: Extracting #4: cost 189 inf + 2296 91.392 * * [simplify]: Extracting #5: cost 112 inf + 20090 91.404 * * [simplify]: Extracting #6: cost 19 inf + 81064 91.423 * * [simplify]: Extracting #7: cost 0 inf + 94833 91.454 * * [simplify]: Extracting #8: cost 0 inf + 93433 91.473 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 91.473 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k)))) 91.473 * [simplify]: Simplifying (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k)) 91.473 * * [simplify]: iters left: 6 (11 enodes) 91.477 * * [simplify]: iters left: 5 (49 enodes) 91.487 * * [simplify]: iters left: 4 (97 enodes) 91.516 * * [simplify]: iters left: 3 (227 enodes) 91.609 * * [simplify]: Extracting #0: cost 1 inf + 0 91.610 * * [simplify]: Extracting #1: cost 64 inf + 0 91.611 * * [simplify]: Extracting #2: cost 183 inf + 0 91.612 * * [simplify]: Extracting #3: cost 211 inf + 45 91.615 * * [simplify]: Extracting #4: cost 188 inf + 5340 91.627 * * [simplify]: Extracting #5: cost 85 inf + 55137 91.640 * * [simplify]: Extracting #6: cost 11 inf + 106095 91.664 * * [simplify]: Extracting #7: cost 0 inf + 111566 91.684 * * [simplify]: Extracting #8: cost 0 inf + 110892 91.705 * [simplify]: Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt k)) 91.705 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt k)))) 91.705 * * * * [progress]: [ 189 / 218 ] simplifiying candidate # 91.705 * * * * [progress]: [ 190 / 218 ] simplifiying candidate # 91.705 * * * * [progress]: [ 191 / 218 ] simplifiying candidate # 91.705 * * * * [progress]: [ 192 / 218 ] simplifiying candidate # 91.706 * [simplify]: Simplifying (cbrt (sqrt k)) 91.706 * * [simplify]: iters left: 2 (3 enodes) 91.707 * * [simplify]: iters left: 1 (9 enodes) 91.709 * * [simplify]: Extracting #0: cost 1 inf + 0 91.709 * * [simplify]: Extracting #1: cost 3 inf + 0 91.710 * * [simplify]: Extracting #2: cost 5 inf + 0 91.710 * * [simplify]: Extracting #3: cost 4 inf + 1 91.710 * * [simplify]: Extracting #4: cost 0 inf + 325 91.710 * [simplify]: Simplified to (cbrt (sqrt k)) 91.710 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 91.710 * * * * [progress]: [ 193 / 218 ] simplifiying candidate # 91.710 * [simplify]: Simplifying (sqrt (cbrt k)) 91.710 * * [simplify]: iters left: 2 (3 enodes) 91.711 * * [simplify]: iters left: 1 (9 enodes) 91.714 * * [simplify]: Extracting #0: cost 1 inf + 0 91.714 * * [simplify]: Extracting #1: cost 3 inf + 0 91.714 * * [simplify]: Extracting #2: cost 5 inf + 0 91.714 * * [simplify]: Extracting #3: cost 4 inf + 1 91.714 * * [simplify]: Extracting #4: cost 0 inf + 405 91.714 * [simplify]: Simplified to (sqrt (cbrt k)) 91.714 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 91.714 * * * * [progress]: [ 194 / 218 ] simplifiying candidate # 91.715 * [simplify]: Simplifying (sqrt (sqrt k)) 91.715 * * [simplify]: iters left: 2 (3 enodes) 91.716 * * [simplify]: iters left: 1 (9 enodes) 91.718 * * [simplify]: Extracting #0: cost 1 inf + 0 91.718 * * [simplify]: Extracting #1: cost 3 inf + 0 91.719 * * [simplify]: Extracting #2: cost 5 inf + 0 91.719 * * [simplify]: Extracting #3: cost 4 inf + 1 91.719 * * [simplify]: Extracting #4: cost 0 inf + 245 91.719 * [simplify]: Simplified to (sqrt (sqrt k)) 91.719 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 91.719 * * * * [progress]: [ 195 / 218 ] simplifiying candidate # 91.719 * [simplify]: Simplifying (sqrt k) 91.719 * * [simplify]: iters left: 1 (2 enodes) 91.720 * * [simplify]: Extracting #0: cost 1 inf + 0 91.720 * * [simplify]: Extracting #1: cost 3 inf + 0 91.720 * * [simplify]: Extracting #2: cost 2 inf + 1 91.720 * * [simplify]: Extracting #3: cost 0 inf + 83 91.721 * [simplify]: Simplified to (sqrt k) 91.721 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt 1)) (sqrt k))) 91.721 * * * * [progress]: [ 196 / 218 ] simplifiying candidate # 91.721 * [simplify]: Simplifying (sqrt (sqrt k)) 91.721 * * [simplify]: iters left: 2 (3 enodes) 91.722 * * [simplify]: iters left: 1 (9 enodes) 91.725 * * [simplify]: Extracting #0: cost 1 inf + 0 91.725 * * [simplify]: Extracting #1: cost 3 inf + 0 91.725 * * [simplify]: Extracting #2: cost 5 inf + 0 91.725 * * [simplify]: Extracting #3: cost 4 inf + 1 91.725 * * [simplify]: Extracting #4: cost 0 inf + 245 91.725 * [simplify]: Simplified to (sqrt (sqrt k)) 91.725 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 91.725 * * * * [progress]: [ 197 / 218 ] simplifiying candidate # 91.726 * [simplify]: Simplifying (sqrt k) 91.726 * * [simplify]: iters left: 1 (2 enodes) 91.727 * * [simplify]: Extracting #0: cost 1 inf + 0 91.727 * * [simplify]: Extracting #1: cost 3 inf + 0 91.727 * * [simplify]: Extracting #2: cost 2 inf + 1 91.727 * * [simplify]: Extracting #3: cost 0 inf + 83 91.727 * [simplify]: Simplified to (sqrt k) 91.727 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 1) (sqrt k))) 91.727 * * * * [progress]: [ 198 / 218 ] simplifiying candidate # 91.727 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 91.727 * * [simplify]: iters left: 5 (7 enodes) 91.732 * * [simplify]: iters left: 4 (32 enodes) 91.745 * * [simplify]: iters left: 3 (57 enodes) 91.764 * * [simplify]: iters left: 2 (88 enodes) 91.782 * * [simplify]: iters left: 1 (156 enodes) 91.834 * * [simplify]: Extracting #0: cost 1 inf + 0 91.835 * * [simplify]: Extracting #1: cost 13 inf + 0 91.835 * * [simplify]: Extracting #2: cost 49 inf + 2 91.835 * * [simplify]: Extracting #3: cost 80 inf + 6 91.836 * * [simplify]: Extracting #4: cost 58 inf + 1840 91.839 * * [simplify]: Extracting #5: cost 22 inf + 9206 91.845 * * [simplify]: Extracting #6: cost 1 inf + 20886 91.851 * * [simplify]: Extracting #7: cost 0 inf + 21301 91.857 * * [simplify]: Extracting #8: cost 0 inf + 21130 91.864 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 91.864 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 91.864 * * * * [progress]: [ 199 / 218 ] simplifiying candidate # 91.864 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) 91.864 * * [simplify]: iters left: 6 (10 enodes) 91.872 * * [simplify]: iters left: 5 (45 enodes) 91.901 * * [simplify]: iters left: 4 (127 enodes) 91.960 * * [simplify]: iters left: 3 (400 enodes) 92.211 * * [simplify]: Extracting #0: cost 1 inf + 0 92.211 * * [simplify]: Extracting #1: cost 80 inf + 0 92.214 * * [simplify]: Extracting #2: cost 331 inf + 0 92.216 * * [simplify]: Extracting #3: cost 321 inf + 700 92.222 * * [simplify]: Extracting #4: cost 247 inf + 29887 92.244 * * [simplify]: Extracting #5: cost 45 inf + 143361 92.273 * * [simplify]: Extracting #6: cost 0 inf + 171174 92.302 * * [simplify]: Extracting #7: cost 0 inf + 171134 92.332 * [simplify]: Simplified to (* (sqrt n) (* (sqrt PI) (sqrt 2))) 92.332 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt n) (* (sqrt PI) (sqrt 2))) (* (sqrt k) (* (pow n (/ k 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2))))))) 92.332 * * * * [progress]: [ 200 / 218 ] simplifiying candidate # 92.333 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) 92.333 * * [simplify]: iters left: 6 (13 enodes) 92.341 * * [simplify]: iters left: 5 (59 enodes) 92.359 * * [simplify]: iters left: 4 (146 enodes) 92.419 * * [simplify]: iters left: 3 (424 enodes) 92.661 * * [simplify]: Extracting #0: cost 1 inf + 0 92.662 * * [simplify]: Extracting #1: cost 79 inf + 0 92.664 * * [simplify]: Extracting #2: cost 333 inf + 0 92.667 * * [simplify]: Extracting #3: cost 345 inf + 424 92.675 * * [simplify]: Extracting #4: cost 328 inf + 7325 92.681 * * [simplify]: Extracting #5: cost 217 inf + 60649 92.702 * * [simplify]: Extracting #6: cost 19 inf + 196881 92.733 * * [simplify]: Extracting #7: cost 0 inf + 210813 92.757 * * [simplify]: Extracting #8: cost 0 inf + 210653 92.802 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (sqrt n)) 92.802 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (sqrt n)) (* (sqrt k) (* (pow n (/ k 2)) (pow PI (/ k 2)))))) 92.802 * * * * [progress]: [ 201 / 218 ] simplifiying candidate # 92.802 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) 92.802 * * [simplify]: iters left: 6 (13 enodes) 92.812 * * [simplify]: iters left: 5 (59 enodes) 92.843 * * [simplify]: iters left: 4 (146 enodes) 92.928 * * [simplify]: iters left: 3 (425 enodes) 93.191 * * [simplify]: Extracting #0: cost 1 inf + 0 93.192 * * [simplify]: Extracting #1: cost 86 inf + 0 93.194 * * [simplify]: Extracting #2: cost 345 inf + 0 93.197 * * [simplify]: Extracting #3: cost 354 inf + 1191 93.202 * * [simplify]: Extracting #4: cost 325 inf + 14687 93.214 * * [simplify]: Extracting #5: cost 211 inf + 71775 93.247 * * [simplify]: Extracting #6: cost 53 inf + 176712 93.288 * * [simplify]: Extracting #7: cost 0 inf + 213091 93.313 * * [simplify]: Extracting #8: cost 0 inf + 213011 93.340 * [simplify]: Simplified to (* (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (sqrt n)) 93.340 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (sqrt n)) (* (sqrt k) (* (pow n (/ k 2)) (pow 2 (/ k 2)))))) 93.340 * * * * [progress]: [ 202 / 218 ] simplifiying candidate # 93.340 * [simplify]: Simplifying (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) 93.341 * * [simplify]: iters left: 6 (13 enodes) 93.349 * * [simplify]: iters left: 5 (58 enodes) 93.374 * * [simplify]: iters left: 4 (136 enodes) 93.432 * * [simplify]: iters left: 3 (415 enodes) 93.904 * * [simplify]: Extracting #0: cost 1 inf + 0 93.905 * * [simplify]: Extracting #1: cost 98 inf + 0 93.907 * * [simplify]: Extracting #2: cost 403 inf + 0 93.912 * * [simplify]: Extracting #3: cost 390 inf + 9297 93.919 * * [simplify]: Extracting #4: cost 321 inf + 47595 93.929 * * [simplify]: Extracting #5: cost 199 inf + 111722 93.959 * * [simplify]: Extracting #6: cost 14 inf + 248133 93.989 * * [simplify]: Extracting #7: cost 0 inf + 258831 94.016 * [simplify]: Simplified to (* (* (sqrt 2) (sqrt PI)) (pow n (/ (- 1 k) 2))) 94.016 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (sqrt 2) (sqrt PI)) (pow n (/ (- 1 k) 2))) (* (sqrt k) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 94.016 * * * * [progress]: [ 203 / 218 ] simplifiying candidate # 94.017 * [simplify]: Simplifying (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) 94.017 * * [simplify]: iters left: 6 (13 enodes) 94.022 * * [simplify]: iters left: 5 (58 enodes) 94.034 * * [simplify]: iters left: 4 (130 enodes) 94.069 * * [simplify]: iters left: 3 (394 enodes) 94.477 * * [simplify]: Extracting #0: cost 1 inf + 0 94.477 * * [simplify]: Extracting #1: cost 92 inf + 0 94.479 * * [simplify]: Extracting #2: cost 400 inf + 0 94.480 * * [simplify]: Extracting #3: cost 413 inf + 514 94.482 * * [simplify]: Extracting #4: cost 410 inf + 3218 94.488 * * [simplify]: Extracting #5: cost 321 inf + 51071 94.521 * * [simplify]: Extracting #6: cost 112 inf + 196780 94.561 * * [simplify]: Extracting #7: cost 1 inf + 290120 94.617 * * [simplify]: Extracting #8: cost 0 inf + 290785 94.679 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (pow n (/ (- 1 k) 2))) 94.679 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (pow n (/ (- 1 k) 2))) (* (sqrt k) (pow PI (/ k 2))))) 94.679 * * * * [progress]: [ 204 / 218 ] simplifiying candidate # 94.679 * [simplify]: Simplifying (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) 94.680 * * [simplify]: iters left: 6 (13 enodes) 94.685 * * [simplify]: iters left: 5 (58 enodes) 94.698 * * [simplify]: iters left: 4 (130 enodes) 94.774 * * [simplify]: iters left: 3 (394 enodes) 95.192 * * [simplify]: Extracting #0: cost 1 inf + 0 95.192 * * [simplify]: Extracting #1: cost 92 inf + 0 95.195 * * [simplify]: Extracting #2: cost 391 inf + 0 95.198 * * [simplify]: Extracting #3: cost 405 inf + 513 95.201 * * [simplify]: Extracting #4: cost 407 inf + 1576 95.214 * * [simplify]: Extracting #5: cost 288 inf + 63066 95.267 * * [simplify]: Extracting #6: cost 62 inf + 227835 95.315 * * [simplify]: Extracting #7: cost 0 inf + 280137 95.360 * * [simplify]: Extracting #8: cost 0 inf + 280057 95.405 * [simplify]: Simplified to (* (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) 95.406 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (sqrt k) (pow 2 (/ k 2))))) 95.406 * * * * [progress]: [ 205 / 218 ] simplifiying candidate # 95.406 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 95.406 * * [simplify]: iters left: 6 (13 enodes) 95.411 * * [simplify]: iters left: 5 (59 enodes) 95.432 * * [simplify]: iters left: 4 (136 enodes) 95.489 * * [simplify]: iters left: 3 (395 enodes) 95.809 * * [simplify]: Extracting #0: cost 1 inf + 0 95.809 * * [simplify]: Extracting #1: cost 89 inf + 0 95.810 * * [simplify]: Extracting #2: cost 371 inf + 0 95.812 * * [simplify]: Extracting #3: cost 385 inf + 90 95.814 * * [simplify]: Extracting #4: cost 379 inf + 2464 95.821 * * [simplify]: Extracting #5: cost 244 inf + 82821 95.855 * * [simplify]: Extracting #6: cost 41 inf + 231059 95.906 * * [simplify]: Extracting #7: cost 0 inf + 263386 95.947 * * [simplify]: Extracting #8: cost 0 inf + 263176 95.984 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt n)) 95.984 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt n)) (* (sqrt k) (pow n (/ k 2))))) 95.985 * * * * [progress]: [ 206 / 218 ] simplifiying candidate #real (real->posit16 (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k)))))> 95.985 * * * * [progress]: [ 207 / 218 ] simplifiying candidate # 95.985 * [simplify]: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 95.985 * * [simplify]: iters left: 6 (18 enodes) 95.992 * * [simplify]: iters left: 5 (83 enodes) 96.012 * * [simplify]: iters left: 4 (217 enodes) 96.106 * * [simplify]: Extracting #0: cost 1 inf + 0 96.106 * * [simplify]: Extracting #1: cost 30 inf + 0 96.107 * * [simplify]: Extracting #2: cost 133 inf + 3 96.108 * * [simplify]: Extracting #3: cost 153 inf + 1555 96.115 * * [simplify]: Extracting #4: cost 48 inf + 27042 96.128 * * [simplify]: Extracting #5: cost 1 inf + 39385 96.140 * * [simplify]: Extracting #6: cost 0 inf + 39357 96.147 * [simplify]: Simplified to (fma (* -1/2 (sqrt n)) (* k (log n)) (fma (* (sqrt n) (* (* k (log n)) (* k (log n)))) 1/8 (sqrt n))) 96.147 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (fma (* -1/2 (sqrt n)) (* k (log n)) (fma (* (sqrt n) (* (* k (log n)) (* k (log n)))) 1/8 (sqrt n))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 96.147 * * * * [progress]: [ 208 / 218 ] simplifiying candidate # 96.148 * [simplify]: Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 96.148 * * [simplify]: iters left: 6 (10 enodes) 96.151 * * [simplify]: iters left: 5 (44 enodes) 96.159 * * [simplify]: iters left: 4 (87 enodes) 96.186 * * [simplify]: iters left: 3 (211 enodes) 96.258 * * [simplify]: Extracting #0: cost 1 inf + 0 96.258 * * [simplify]: Extracting #1: cost 32 inf + 0 96.258 * * [simplify]: Extracting #2: cost 115 inf + 2 96.260 * * [simplify]: Extracting #3: cost 148 inf + 1208 96.265 * * [simplify]: Extracting #4: cost 61 inf + 14505 96.274 * * [simplify]: Extracting #5: cost 8 inf + 26237 96.284 * * [simplify]: Extracting #6: cost 1 inf + 30263 96.296 * * [simplify]: Extracting #7: cost 0 inf + 31149 96.307 * [simplify]: Simplified to (exp (* (log n) (* 1/2 (- 1 k)))) 96.307 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (exp (* (log n) (* 1/2 (- 1 k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 96.307 * * * * [progress]: [ 209 / 218 ] simplifiying candidate # 96.308 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 96.308 * * [simplify]: iters left: 6 (13 enodes) 96.314 * * [simplify]: iters left: 5 (53 enodes) 96.327 * * [simplify]: iters left: 4 (109 enodes) 96.361 * * [simplify]: iters left: 3 (311 enodes) 96.502 * * [simplify]: Extracting #0: cost 1 inf + 0 96.503 * * [simplify]: Extracting #1: cost 34 inf + 0 96.503 * * [simplify]: Extracting #2: cost 135 inf + 73 96.504 * * [simplify]: Extracting #3: cost 194 inf + 2919 96.507 * * [simplify]: Extracting #4: cost 87 inf + 21540 96.515 * * [simplify]: Extracting #5: cost 7 inf + 41330 96.528 * * [simplify]: Extracting #6: cost 0 inf + 43042 96.538 * * [simplify]: Extracting #7: cost 0 inf + 43035 96.547 * [simplify]: Simplified to (sqrt (exp (- (log n) (* k (log n))))) 96.547 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (exp (- (log n) (* k (log n))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 96.547 * * * * [progress]: [ 210 / 218 ] simplifiying candidate # 96.548 * [simplify]: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 96.548 * * [simplify]: iters left: 6 (18 enodes) 96.554 * * [simplify]: iters left: 5 (83 enodes) 96.583 * * [simplify]: iters left: 4 (207 enodes) 96.685 * * [simplify]: Extracting #0: cost 1 inf + 0 96.685 * * [simplify]: Extracting #1: cost 33 inf + 0 96.686 * * [simplify]: Extracting #2: cost 152 inf + 3 96.688 * * [simplify]: Extracting #3: cost 157 inf + 4468 96.698 * * [simplify]: Extracting #4: cost 42 inf + 34177 96.715 * * [simplify]: Extracting #5: cost 0 inf + 46672 96.731 * * [simplify]: Extracting #6: cost 0 inf + 45532 96.739 * * [simplify]: Extracting #7: cost 0 inf + 45282 96.748 * [simplify]: Simplified to (fma (sqrt PI) (fma 1/8 (* (* k (log PI)) (* k (log PI))) (* (* k (log PI)) -1/2)) (sqrt PI)) 96.748 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (fma (sqrt PI) (fma 1/8 (* (* k (log PI)) (* k (log PI))) (* (* k (log PI)) -1/2)) (sqrt PI)))) (sqrt k))) 96.748 * * * * [progress]: [ 211 / 218 ] simplifiying candidate # 96.748 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log PI)))) 96.748 * * [simplify]: iters left: 6 (9 enodes) 96.751 * * [simplify]: iters left: 5 (37 enodes) 96.759 * * [simplify]: iters left: 4 (72 enodes) 96.787 * * [simplify]: iters left: 3 (150 enodes) 96.824 * * [simplify]: iters left: 2 (357 enodes) 96.948 * * [simplify]: Extracting #0: cost 1 inf + 0 96.948 * * [simplify]: Extracting #1: cost 37 inf + 0 96.949 * * [simplify]: Extracting #2: cost 120 inf + 216 96.950 * * [simplify]: Extracting #3: cost 152 inf + 6412 96.954 * * [simplify]: Extracting #4: cost 60 inf + 25102 96.961 * * [simplify]: Extracting #5: cost 11 inf + 34972 96.973 * * [simplify]: Extracting #6: cost 0 inf + 40848 96.987 * * [simplify]: Extracting #7: cost 0 inf + 40394 97.001 * [simplify]: Simplified to (exp (* (log PI) (fma -1/2 k 1/2))) 97.001 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (exp (* (log PI) (fma -1/2 k 1/2))))) (sqrt k))) 97.001 * * * * [progress]: [ 212 / 218 ] simplifiying candidate # 97.002 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log PI)))) 97.002 * * [simplify]: iters left: 6 (9 enodes) 97.007 * * [simplify]: iters left: 5 (37 enodes) 97.021 * * [simplify]: iters left: 4 (72 enodes) 97.040 * * [simplify]: iters left: 3 (150 enodes) 97.079 * * [simplify]: iters left: 2 (357 enodes) 97.177 * * [simplify]: Extracting #0: cost 1 inf + 0 97.177 * * [simplify]: Extracting #1: cost 37 inf + 0 97.178 * * [simplify]: Extracting #2: cost 120 inf + 216 97.179 * * [simplify]: Extracting #3: cost 152 inf + 6412 97.184 * * [simplify]: Extracting #4: cost 60 inf + 25102 97.196 * * [simplify]: Extracting #5: cost 11 inf + 34972 97.214 * * [simplify]: Extracting #6: cost 0 inf + 40848 97.223 * * [simplify]: Extracting #7: cost 0 inf + 40394 97.231 * [simplify]: Simplified to (exp (* (log PI) (fma -1/2 k 1/2))) 97.231 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (exp (* (log PI) (fma -1/2 k 1/2))))) (sqrt k))) 97.231 * * * * [progress]: [ 213 / 218 ] simplifiying candidate # 97.231 * [simplify]: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (sqrt 2) (* (pow k 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* (sqrt 2) (sqrt (* n PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (* (pow k 2) (log PI)))) (sqrt (* PI n)))) (* 1/4 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))))))))) (+ (* 1/2 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (* 1/2 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI))))))) 97.231 * * [simplify]: iters left: 6 (68 enodes) 97.253 * * [simplify]: iters left: 5 (349 enodes) 97.374 * * [simplify]: Extracting #0: cost 1 inf + 0 97.374 * * [simplify]: Extracting #1: cost 27 inf + 0 97.374 * * [simplify]: Extracting #2: cost 131 inf + 1 97.376 * * [simplify]: Extracting #3: cost 272 inf + 2 97.379 * * [simplify]: Extracting #4: cost 314 inf + 5184 97.394 * * [simplify]: Extracting #5: cost 167 inf + 45121 97.414 * * [simplify]: Extracting #6: cost 65 inf + 90936 97.459 * * [simplify]: Extracting #7: cost 17 inf + 138671 97.518 * * [simplify]: Extracting #8: cost 0 inf + 164379 97.578 * * [simplify]: Extracting #9: cost 0 inf + 163944 97.647 * * [simplify]: Extracting #10: cost 0 inf + 163799 97.706 * * [simplify]: Extracting #11: cost 0 inf + 163789 97.774 * [simplify]: Simplified to (- (fma 1/8 (* (* (sqrt 2) (sqrt (* PI n))) (* (* k (log n)) (* k (log n)))) (fma 1/8 (* (* (* (log PI) k) (* (log PI) k)) (* (sqrt 2) (sqrt (* PI n)))) (fma (* 1/8 (* (* (log 2) (log 2)) (* (* k k) (sqrt 2)))) (sqrt (* PI n)) (+ (* 1/4 (* (log 2) (+ (* (* (* k k) (sqrt 2)) (* (log PI) (sqrt (* PI n)))) (* (* (* k k) (* (log n) (sqrt 2))) (sqrt (* PI n)))))) (fma 1/4 (* (* (* (* k k) (log n)) (log PI)) (* (sqrt 2) (sqrt (* PI n)))) (* (sqrt 2) (sqrt (* PI n)))))))) (* 1/2 (+ (* (sqrt 2) (* (sqrt (* PI n)) (* (log PI) k))) (* (sqrt (* PI n)) (+ (* k (* (log n) (sqrt 2))) (* (log 2) (* k (sqrt 2)))))))) 97.774 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (fma 1/8 (* (* (sqrt 2) (sqrt (* PI n))) (* (* k (log n)) (* k (log n)))) (fma 1/8 (* (* (* (log PI) k) (* (log PI) k)) (* (sqrt 2) (sqrt (* PI n)))) (fma (* 1/8 (* (* (log 2) (log 2)) (* (* k k) (sqrt 2)))) (sqrt (* PI n)) (+ (* 1/4 (* (log 2) (+ (* (* (* k k) (sqrt 2)) (* (log PI) (sqrt (* PI n)))) (* (* (* k k) (* (log n) (sqrt 2))) (sqrt (* PI n)))))) (fma 1/4 (* (* (* (* k k) (log n)) (log PI)) (* (sqrt 2) (sqrt (* PI n)))) (* (sqrt 2) (sqrt (* PI n)))))))) (* 1/2 (+ (* (sqrt 2) (* (sqrt (* PI n)) (* (log PI) k))) (* (sqrt (* PI n)) (+ (* k (* (log n) (sqrt 2))) (* (log 2) (* k (sqrt 2)))))))) (sqrt k))) 97.775 * * * * [progress]: [ 214 / 218 ] simplifiying candidate # 97.775 * [simplify]: Simplifying (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) 97.775 * * [simplify]: iters left: 6 (23 enodes) 97.789 * * [simplify]: iters left: 5 (100 enodes) 97.825 * * [simplify]: iters left: 4 (219 enodes) 97.898 * * [simplify]: Extracting #0: cost 1 inf + 0 97.899 * * [simplify]: Extracting #1: cost 15 inf + 0 97.899 * * [simplify]: Extracting #2: cost 95 inf + 0 97.900 * * [simplify]: Extracting #3: cost 174 inf + 500 97.902 * * [simplify]: Extracting #4: cost 158 inf + 5700 97.910 * * [simplify]: Extracting #5: cost 62 inf + 26532 97.925 * * [simplify]: Extracting #6: cost 14 inf + 43651 97.937 * * [simplify]: Extracting #7: cost 1 inf + 52636 97.954 * * [simplify]: Extracting #8: cost 0 inf + 53111 97.970 * [simplify]: Simplified to (exp (- (* (* 1/2 (- 1 k)) (+ (log 2) (log PI))) (* (* (- 1 k) -1/2) (log n)))) 97.970 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (- (* (* 1/2 (- 1 k)) (+ (log 2) (log PI))) (* (* (- 1 k) -1/2) (log n)))) (sqrt k))) 97.970 * * * * [progress]: [ 215 / 218 ] simplifiying candidate # 97.971 * [simplify]: Simplifying (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) 97.971 * * [simplify]: iters left: 6 (25 enodes) 97.984 * * [simplify]: iters left: 5 (104 enodes) 98.006 * * [simplify]: iters left: 4 (224 enodes) 98.094 * * [simplify]: Extracting #0: cost 1 inf + 0 98.094 * * [simplify]: Extracting #1: cost 15 inf + 0 98.094 * * [simplify]: Extracting #2: cost 95 inf + 0 98.095 * * [simplify]: Extracting #3: cost 190 inf + 398 98.098 * * [simplify]: Extracting #4: cost 180 inf + 7316 98.109 * * [simplify]: Extracting #5: cost 84 inf + 33272 98.127 * * [simplify]: Extracting #6: cost 19 inf + 53394 98.138 * * [simplify]: Extracting #7: cost 0 inf + 62389 98.148 * * [simplify]: Extracting #8: cost 0 inf + 60817 98.167 * * [simplify]: Extracting #9: cost 0 inf + 60762 98.183 * [simplify]: Simplified to (exp (* 1/2 (+ (* (- 1 k) (+ 0 (log n))) (* (- 1 k) (+ (log 2) (log PI)))))) 98.183 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* 1/2 (+ (* (- 1 k) (+ 0 (log n))) (* (- 1 k) (+ (log 2) (log PI)))))) (sqrt k))) 98.183 * * * * [progress]: [ 216 / 218 ] simplifiying candidate # 98.183 * [simplify]: Simplifying (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))))))))))))) 98.184 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 98.184 * * * * [progress]: [ 217 / 218 ] simplifiying candidate # 98.184 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k))))))) 98.184 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 98.185 * * * * [progress]: [ 218 / 218 ] simplifiying candidate # 98.185 * [simplify]: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2)))))))) 98.185 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 98.185 * * * [progress]: adding candidates to table 101.236 * * [progress]: iteration 4 / 4 101.236 * * * [progress]: picking best candidate 101.258 * * * * [pick]: Picked # 101.258 * * * [progress]: localizing error 101.292 * * * [progress]: generating rewritten candidates 101.292 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 101.298 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 101.303 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 101.315 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 101.363 * * * [progress]: generating series expansions 101.363 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 101.368 * [backup-simplify]: Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k))) 101.368 * [approximate]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0 101.368 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 101.368 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 101.368 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 101.368 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.368 * [taylor]: Taking taylor expansion of 1/2 in k 101.368 * [backup-simplify]: Simplify 1/2 into 1/2 101.368 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.368 * [taylor]: Taking taylor expansion of 1 in k 101.368 * [backup-simplify]: Simplify 1 into 1 101.368 * [taylor]: Taking taylor expansion of k in k 101.368 * [backup-simplify]: Simplify 0 into 0 101.368 * [backup-simplify]: Simplify 1 into 1 101.368 * [taylor]: Taking taylor expansion of (log n) in k 101.368 * [taylor]: Taking taylor expansion of n in k 101.368 * [backup-simplify]: Simplify n into n 101.368 * [backup-simplify]: Simplify (log n) into (log n) 101.369 * [backup-simplify]: Simplify (- 0) into 0 101.370 * [backup-simplify]: Simplify (+ 1 0) into 1 101.370 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.370 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 101.370 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 101.370 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 101.370 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 101.370 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 101.370 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 101.370 * [taylor]: Taking taylor expansion of 1/2 in n 101.370 * [backup-simplify]: Simplify 1/2 into 1/2 101.371 * [taylor]: Taking taylor expansion of (- 1 k) in n 101.371 * [taylor]: Taking taylor expansion of 1 in n 101.371 * [backup-simplify]: Simplify 1 into 1 101.371 * [taylor]: Taking taylor expansion of k in n 101.371 * [backup-simplify]: Simplify k into k 101.371 * [taylor]: Taking taylor expansion of (log n) in n 101.371 * [taylor]: Taking taylor expansion of n in n 101.371 * [backup-simplify]: Simplify 0 into 0 101.371 * [backup-simplify]: Simplify 1 into 1 101.371 * [backup-simplify]: Simplify (log 1) into 0 101.371 * [backup-simplify]: Simplify (- k) into (- k) 101.371 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 101.371 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 101.372 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 101.372 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 101.372 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 101.372 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 101.372 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 101.372 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 101.372 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 101.372 * [taylor]: Taking taylor expansion of 1/2 in n 101.372 * [backup-simplify]: Simplify 1/2 into 1/2 101.372 * [taylor]: Taking taylor expansion of (- 1 k) in n 101.372 * [taylor]: Taking taylor expansion of 1 in n 101.372 * [backup-simplify]: Simplify 1 into 1 101.372 * [taylor]: Taking taylor expansion of k in n 101.372 * [backup-simplify]: Simplify k into k 101.372 * [taylor]: Taking taylor expansion of (log n) in n 101.372 * [taylor]: Taking taylor expansion of n in n 101.372 * [backup-simplify]: Simplify 0 into 0 101.372 * [backup-simplify]: Simplify 1 into 1 101.373 * [backup-simplify]: Simplify (log 1) into 0 101.373 * [backup-simplify]: Simplify (- k) into (- k) 101.373 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 101.373 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 101.373 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 101.374 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 101.374 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 101.374 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 101.374 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 101.374 * [taylor]: Taking taylor expansion of 1/2 in k 101.374 * [backup-simplify]: Simplify 1/2 into 1/2 101.374 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 101.374 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.374 * [taylor]: Taking taylor expansion of 1 in k 101.374 * [backup-simplify]: Simplify 1 into 1 101.374 * [taylor]: Taking taylor expansion of k in k 101.374 * [backup-simplify]: Simplify 0 into 0 101.374 * [backup-simplify]: Simplify 1 into 1 101.374 * [taylor]: Taking taylor expansion of (log n) in k 101.374 * [taylor]: Taking taylor expansion of n in k 101.374 * [backup-simplify]: Simplify n into n 101.374 * [backup-simplify]: Simplify (log n) into (log n) 101.375 * [backup-simplify]: Simplify (- 0) into 0 101.375 * [backup-simplify]: Simplify (+ 1 0) into 1 101.375 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 101.375 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 101.375 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 101.375 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2) 101.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 101.377 * [backup-simplify]: Simplify (- 0) into 0 101.377 * [backup-simplify]: Simplify (+ 0 0) into 0 101.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 101.378 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 101.378 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 101.379 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 101.379 * [taylor]: Taking taylor expansion of 0 in k 101.379 * [backup-simplify]: Simplify 0 into 0 101.379 * [backup-simplify]: Simplify 0 into 0 101.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 101.381 * [backup-simplify]: Simplify (- 1) into -1 101.381 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.382 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 101.382 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 101.382 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 101.382 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 101.384 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 101.384 * [backup-simplify]: Simplify (- 0) into 0 101.385 * [backup-simplify]: Simplify (+ 0 0) into 0 101.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 101.385 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 101.386 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 101.387 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.387 * [taylor]: Taking taylor expansion of 0 in k 101.387 * [backup-simplify]: Simplify 0 into 0 101.387 * [backup-simplify]: Simplify 0 into 0 101.387 * [backup-simplify]: Simplify 0 into 0 101.388 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 101.388 * [backup-simplify]: Simplify (- 0) into 0 101.388 * [backup-simplify]: Simplify (+ 0 0) into 0 101.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 101.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 101.390 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 101.390 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 101.390 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 101.390 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) 101.390 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 101.390 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 101.390 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 101.391 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 101.391 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 101.391 * [taylor]: Taking taylor expansion of 1/2 in k 101.391 * [backup-simplify]: Simplify 1/2 into 1/2 101.391 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 101.391 * [taylor]: Taking taylor expansion of 1 in k 101.391 * [backup-simplify]: Simplify 1 into 1 101.391 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.391 * [taylor]: Taking taylor expansion of k in k 101.391 * [backup-simplify]: Simplify 0 into 0 101.391 * [backup-simplify]: Simplify 1 into 1 101.391 * [backup-simplify]: Simplify (/ 1 1) into 1 101.391 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 101.391 * [taylor]: Taking taylor expansion of (/ 1 n) in k 101.391 * [taylor]: Taking taylor expansion of n in k 101.391 * [backup-simplify]: Simplify n into n 101.391 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 101.391 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 101.391 * [backup-simplify]: Simplify (- 1) into -1 101.392 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.392 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 101.392 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 101.392 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 101.392 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 101.392 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 101.392 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 101.392 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 101.392 * [taylor]: Taking taylor expansion of 1/2 in n 101.392 * [backup-simplify]: Simplify 1/2 into 1/2 101.392 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 101.392 * [taylor]: Taking taylor expansion of 1 in n 101.392 * [backup-simplify]: Simplify 1 into 1 101.392 * [taylor]: Taking taylor expansion of (/ 1 k) in n 101.392 * [taylor]: Taking taylor expansion of k in n 101.392 * [backup-simplify]: Simplify k into k 101.392 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 101.392 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 101.392 * [taylor]: Taking taylor expansion of (/ 1 n) in n 101.392 * [taylor]: Taking taylor expansion of n in n 101.392 * [backup-simplify]: Simplify 0 into 0 101.392 * [backup-simplify]: Simplify 1 into 1 101.393 * [backup-simplify]: Simplify (/ 1 1) into 1 101.393 * [backup-simplify]: Simplify (log 1) into 0 101.393 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 101.393 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 101.393 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 101.393 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 101.393 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 101.393 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 101.393 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 101.393 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 101.393 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 101.393 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 101.394 * [taylor]: Taking taylor expansion of 1/2 in n 101.394 * [backup-simplify]: Simplify 1/2 into 1/2 101.394 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 101.394 * [taylor]: Taking taylor expansion of 1 in n 101.394 * [backup-simplify]: Simplify 1 into 1 101.394 * [taylor]: Taking taylor expansion of (/ 1 k) in n 101.394 * [taylor]: Taking taylor expansion of k in n 101.394 * [backup-simplify]: Simplify k into k 101.394 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 101.394 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 101.394 * [taylor]: Taking taylor expansion of (/ 1 n) in n 101.394 * [taylor]: Taking taylor expansion of n in n 101.394 * [backup-simplify]: Simplify 0 into 0 101.394 * [backup-simplify]: Simplify 1 into 1 101.394 * [backup-simplify]: Simplify (/ 1 1) into 1 101.394 * [backup-simplify]: Simplify (log 1) into 0 101.394 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 101.394 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 101.394 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 101.395 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 101.395 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 101.395 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 101.395 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 101.395 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 101.395 * [taylor]: Taking taylor expansion of -1/2 in k 101.395 * [backup-simplify]: Simplify -1/2 into -1/2 101.395 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 101.395 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 101.395 * [taylor]: Taking taylor expansion of 1 in k 101.395 * [backup-simplify]: Simplify 1 into 1 101.395 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.395 * [taylor]: Taking taylor expansion of k in k 101.395 * [backup-simplify]: Simplify 0 into 0 101.395 * [backup-simplify]: Simplify 1 into 1 101.395 * [backup-simplify]: Simplify (/ 1 1) into 1 101.395 * [taylor]: Taking taylor expansion of (log n) in k 101.395 * [taylor]: Taking taylor expansion of n in k 101.395 * [backup-simplify]: Simplify n into n 101.395 * [backup-simplify]: Simplify (log n) into (log n) 101.396 * [backup-simplify]: Simplify (- 1) into -1 101.396 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.396 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 101.396 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 101.396 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 101.396 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 101.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 101.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 101.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 101.398 * [backup-simplify]: Simplify (- 0) into 0 101.398 * [backup-simplify]: Simplify (+ 0 0) into 0 101.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 101.399 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 101.399 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 101.399 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 101.399 * [taylor]: Taking taylor expansion of 0 in k 101.399 * [backup-simplify]: Simplify 0 into 0 101.399 * [backup-simplify]: Simplify 0 into 0 101.399 * [backup-simplify]: Simplify 0 into 0 101.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.401 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 101.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 101.402 * [backup-simplify]: Simplify (- 0) into 0 101.402 * [backup-simplify]: Simplify (+ 0 0) into 0 101.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 101.403 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 101.403 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 101.404 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.404 * [taylor]: Taking taylor expansion of 0 in k 101.404 * [backup-simplify]: Simplify 0 into 0 101.404 * [backup-simplify]: Simplify 0 into 0 101.404 * [backup-simplify]: Simplify 0 into 0 101.404 * [backup-simplify]: Simplify 0 into 0 101.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.407 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 101.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 101.408 * [backup-simplify]: Simplify (- 0) into 0 101.408 * [backup-simplify]: Simplify (+ 0 0) into 0 101.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 101.409 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 101.410 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 101.411 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 101.411 * [taylor]: Taking taylor expansion of 0 in k 101.411 * [backup-simplify]: Simplify 0 into 0 101.411 * [backup-simplify]: Simplify 0 into 0 101.411 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 101.411 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) 101.411 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 101.411 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 101.411 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 101.411 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 101.411 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 101.411 * [taylor]: Taking taylor expansion of 1/2 in k 101.411 * [backup-simplify]: Simplify 1/2 into 1/2 101.411 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 101.411 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.411 * [taylor]: Taking taylor expansion of k in k 101.411 * [backup-simplify]: Simplify 0 into 0 101.411 * [backup-simplify]: Simplify 1 into 1 101.411 * [backup-simplify]: Simplify (/ 1 1) into 1 101.412 * [taylor]: Taking taylor expansion of 1 in k 101.412 * [backup-simplify]: Simplify 1 into 1 101.412 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 101.412 * [taylor]: Taking taylor expansion of (/ -1 n) in k 101.412 * [taylor]: Taking taylor expansion of -1 in k 101.412 * [backup-simplify]: Simplify -1 into -1 101.412 * [taylor]: Taking taylor expansion of n in k 101.412 * [backup-simplify]: Simplify n into n 101.412 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 101.412 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 101.412 * [backup-simplify]: Simplify (+ 1 0) into 1 101.412 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.412 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 101.412 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 101.412 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 101.412 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 101.412 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 101.413 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 101.413 * [taylor]: Taking taylor expansion of 1/2 in n 101.413 * [backup-simplify]: Simplify 1/2 into 1/2 101.413 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 101.413 * [taylor]: Taking taylor expansion of (/ 1 k) in n 101.413 * [taylor]: Taking taylor expansion of k in n 101.413 * [backup-simplify]: Simplify k into k 101.413 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 101.413 * [taylor]: Taking taylor expansion of 1 in n 101.413 * [backup-simplify]: Simplify 1 into 1 101.413 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 101.413 * [taylor]: Taking taylor expansion of (/ -1 n) in n 101.413 * [taylor]: Taking taylor expansion of -1 in n 101.413 * [backup-simplify]: Simplify -1 into -1 101.413 * [taylor]: Taking taylor expansion of n in n 101.413 * [backup-simplify]: Simplify 0 into 0 101.413 * [backup-simplify]: Simplify 1 into 1 101.413 * [backup-simplify]: Simplify (/ -1 1) into -1 101.413 * [backup-simplify]: Simplify (log -1) into (log -1) 101.413 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 101.413 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 101.414 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 101.414 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 101.415 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 101.415 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 101.415 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 101.415 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 101.415 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 101.415 * [taylor]: Taking taylor expansion of 1/2 in n 101.415 * [backup-simplify]: Simplify 1/2 into 1/2 101.415 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 101.415 * [taylor]: Taking taylor expansion of (/ 1 k) in n 101.415 * [taylor]: Taking taylor expansion of k in n 101.415 * [backup-simplify]: Simplify k into k 101.415 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 101.415 * [taylor]: Taking taylor expansion of 1 in n 101.415 * [backup-simplify]: Simplify 1 into 1 101.415 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 101.415 * [taylor]: Taking taylor expansion of (/ -1 n) in n 101.415 * [taylor]: Taking taylor expansion of -1 in n 101.415 * [backup-simplify]: Simplify -1 into -1 101.415 * [taylor]: Taking taylor expansion of n in n 101.415 * [backup-simplify]: Simplify 0 into 0 101.415 * [backup-simplify]: Simplify 1 into 1 101.415 * [backup-simplify]: Simplify (/ -1 1) into -1 101.415 * [backup-simplify]: Simplify (log -1) into (log -1) 101.415 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 101.416 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 101.416 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 101.416 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 101.417 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 101.417 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 101.417 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 101.417 * [taylor]: Taking taylor expansion of 1/2 in k 101.417 * [backup-simplify]: Simplify 1/2 into 1/2 101.417 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 101.417 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 101.417 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.417 * [taylor]: Taking taylor expansion of k in k 101.417 * [backup-simplify]: Simplify 0 into 0 101.417 * [backup-simplify]: Simplify 1 into 1 101.417 * [backup-simplify]: Simplify (/ 1 1) into 1 101.417 * [taylor]: Taking taylor expansion of 1 in k 101.417 * [backup-simplify]: Simplify 1 into 1 101.417 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 101.417 * [taylor]: Taking taylor expansion of (log -1) in k 101.417 * [taylor]: Taking taylor expansion of -1 in k 101.417 * [backup-simplify]: Simplify -1 into -1 101.417 * [backup-simplify]: Simplify (log -1) into (log -1) 101.417 * [taylor]: Taking taylor expansion of (log n) in k 101.418 * [taylor]: Taking taylor expansion of n in k 101.418 * [backup-simplify]: Simplify n into n 101.418 * [backup-simplify]: Simplify (log n) into (log n) 101.418 * [backup-simplify]: Simplify (+ 1 0) into 1 101.418 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 101.418 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 101.418 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 101.419 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 101.419 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 101.420 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 101.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 101.422 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 101.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 101.423 * [backup-simplify]: Simplify (+ 0 0) into 0 101.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 101.424 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 101.425 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 101.426 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 101.426 * [taylor]: Taking taylor expansion of 0 in k 101.426 * [backup-simplify]: Simplify 0 into 0 101.426 * [backup-simplify]: Simplify 0 into 0 101.426 * [backup-simplify]: Simplify 0 into 0 101.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.430 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 101.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 101.431 * [backup-simplify]: Simplify (+ 0 0) into 0 101.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 101.433 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 101.433 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 101.435 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.435 * [taylor]: Taking taylor expansion of 0 in k 101.435 * [backup-simplify]: Simplify 0 into 0 101.435 * [backup-simplify]: Simplify 0 into 0 101.436 * [backup-simplify]: Simplify 0 into 0 101.436 * [backup-simplify]: Simplify 0 into 0 101.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.442 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 101.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 101.443 * [backup-simplify]: Simplify (+ 0 0) into 0 101.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 101.445 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 101.447 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 101.449 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 101.449 * [taylor]: Taking taylor expansion of 0 in k 101.449 * [backup-simplify]: Simplify 0 into 0 101.449 * [backup-simplify]: Simplify 0 into 0 101.450 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 101.450 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 101.450 * [backup-simplify]: Simplify (pow PI (/ (- 1 k) 2)) into (pow PI (* 1/2 (- 1 k))) 101.450 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in (k) around 0 101.450 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 101.450 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 101.450 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 101.450 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.450 * [taylor]: Taking taylor expansion of 1/2 in k 101.450 * [backup-simplify]: Simplify 1/2 into 1/2 101.450 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.450 * [taylor]: Taking taylor expansion of 1 in k 101.450 * [backup-simplify]: Simplify 1 into 1 101.450 * [taylor]: Taking taylor expansion of k in k 101.450 * [backup-simplify]: Simplify 0 into 0 101.450 * [backup-simplify]: Simplify 1 into 1 101.450 * [taylor]: Taking taylor expansion of (log PI) in k 101.450 * [taylor]: Taking taylor expansion of PI in k 101.450 * [backup-simplify]: Simplify PI into PI 101.451 * [backup-simplify]: Simplify (log PI) into (log PI) 101.451 * [backup-simplify]: Simplify (- 0) into 0 101.452 * [backup-simplify]: Simplify (+ 1 0) into 1 101.452 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.453 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 101.454 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 101.455 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 101.455 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 101.455 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 101.455 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.455 * [taylor]: Taking taylor expansion of 1/2 in k 101.455 * [backup-simplify]: Simplify 1/2 into 1/2 101.455 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.455 * [taylor]: Taking taylor expansion of 1 in k 101.455 * [backup-simplify]: Simplify 1 into 1 101.455 * [taylor]: Taking taylor expansion of k in k 101.455 * [backup-simplify]: Simplify 0 into 0 101.455 * [backup-simplify]: Simplify 1 into 1 101.455 * [taylor]: Taking taylor expansion of (log PI) in k 101.455 * [taylor]: Taking taylor expansion of PI in k 101.455 * [backup-simplify]: Simplify PI into PI 101.455 * [backup-simplify]: Simplify (log PI) into (log PI) 101.456 * [backup-simplify]: Simplify (- 0) into 0 101.456 * [backup-simplify]: Simplify (+ 1 0) into 1 101.457 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.457 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 101.459 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 101.460 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2) 101.461 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 101.462 * [backup-simplify]: Simplify (- 1) into -1 101.462 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.463 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 101.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 101.475 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 101.476 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 101.478 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 101.478 * [backup-simplify]: Simplify (- 0) into 0 101.478 * [backup-simplify]: Simplify (+ 0 0) into 0 101.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 101.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 101.487 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 101.489 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 101.492 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 101.492 * [backup-simplify]: Simplify (pow PI (/ (- 1 (/ 1 k)) 2)) into (pow PI (* 1/2 (- 1 (/ 1 k)))) 101.492 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in (k) around 0 101.492 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 101.492 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 101.492 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 101.492 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 101.492 * [taylor]: Taking taylor expansion of 1/2 in k 101.492 * [backup-simplify]: Simplify 1/2 into 1/2 101.492 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 101.492 * [taylor]: Taking taylor expansion of 1 in k 101.492 * [backup-simplify]: Simplify 1 into 1 101.492 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.492 * [taylor]: Taking taylor expansion of k in k 101.492 * [backup-simplify]: Simplify 0 into 0 101.492 * [backup-simplify]: Simplify 1 into 1 101.492 * [backup-simplify]: Simplify (/ 1 1) into 1 101.492 * [taylor]: Taking taylor expansion of (log PI) in k 101.492 * [taylor]: Taking taylor expansion of PI in k 101.493 * [backup-simplify]: Simplify PI into PI 101.493 * [backup-simplify]: Simplify (log PI) into (log PI) 101.493 * [backup-simplify]: Simplify (- 1) into -1 101.493 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.494 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 101.494 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 101.494 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 101.494 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 101.494 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 101.494 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 101.494 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 101.494 * [taylor]: Taking taylor expansion of 1/2 in k 101.494 * [backup-simplify]: Simplify 1/2 into 1/2 101.494 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 101.494 * [taylor]: Taking taylor expansion of 1 in k 101.495 * [backup-simplify]: Simplify 1 into 1 101.495 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.495 * [taylor]: Taking taylor expansion of k in k 101.495 * [backup-simplify]: Simplify 0 into 0 101.495 * [backup-simplify]: Simplify 1 into 1 101.495 * [backup-simplify]: Simplify (/ 1 1) into 1 101.495 * [taylor]: Taking taylor expansion of (log PI) in k 101.495 * [taylor]: Taking taylor expansion of PI in k 101.495 * [backup-simplify]: Simplify PI into PI 101.495 * [backup-simplify]: Simplify (log PI) into (log PI) 101.495 * [backup-simplify]: Simplify (- 1) into -1 101.496 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.496 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 101.496 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 101.497 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 101.497 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 101.497 * [backup-simplify]: Simplify 0 into 0 101.497 * [backup-simplify]: Simplify 0 into 0 101.497 * [backup-simplify]: Simplify 0 into 0 101.497 * [backup-simplify]: Simplify 0 into 0 101.497 * [backup-simplify]: Simplify 0 into 0 101.497 * [backup-simplify]: Simplify 0 into 0 101.498 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 101.498 * [backup-simplify]: Simplify (pow PI (/ (- 1 (/ 1 (- k))) 2)) into (pow PI (* 1/2 (+ (/ 1 k) 1))) 101.498 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in (k) around 0 101.498 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 101.498 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 101.498 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 101.498 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 101.498 * [taylor]: Taking taylor expansion of 1/2 in k 101.498 * [backup-simplify]: Simplify 1/2 into 1/2 101.498 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 101.498 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.498 * [taylor]: Taking taylor expansion of k in k 101.498 * [backup-simplify]: Simplify 0 into 0 101.498 * [backup-simplify]: Simplify 1 into 1 101.498 * [backup-simplify]: Simplify (/ 1 1) into 1 101.498 * [taylor]: Taking taylor expansion of 1 in k 101.498 * [backup-simplify]: Simplify 1 into 1 101.498 * [taylor]: Taking taylor expansion of (log PI) in k 101.498 * [taylor]: Taking taylor expansion of PI in k 101.498 * [backup-simplify]: Simplify PI into PI 101.498 * [backup-simplify]: Simplify (log PI) into (log PI) 101.499 * [backup-simplify]: Simplify (+ 1 0) into 1 101.499 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.500 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 101.500 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 101.500 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 101.500 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 101.500 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 101.500 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 101.500 * [taylor]: Taking taylor expansion of 1/2 in k 101.500 * [backup-simplify]: Simplify 1/2 into 1/2 101.500 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 101.500 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.500 * [taylor]: Taking taylor expansion of k in k 101.500 * [backup-simplify]: Simplify 0 into 0 101.500 * [backup-simplify]: Simplify 1 into 1 101.500 * [backup-simplify]: Simplify (/ 1 1) into 1 101.500 * [taylor]: Taking taylor expansion of 1 in k 101.500 * [backup-simplify]: Simplify 1 into 1 101.500 * [taylor]: Taking taylor expansion of (log PI) in k 101.500 * [taylor]: Taking taylor expansion of PI in k 101.500 * [backup-simplify]: Simplify PI into PI 101.501 * [backup-simplify]: Simplify (log PI) into (log PI) 101.501 * [backup-simplify]: Simplify (+ 1 0) into 1 101.501 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.502 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 101.502 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 101.502 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 101.502 * [backup-simplify]: Simplify 0 into 0 101.502 * [backup-simplify]: Simplify 0 into 0 101.502 * [backup-simplify]: Simplify 0 into 0 101.502 * [backup-simplify]: Simplify 0 into 0 101.502 * [backup-simplify]: Simplify 0 into 0 101.503 * [backup-simplify]: Simplify 0 into 0 101.503 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 101.503 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 101.503 * [backup-simplify]: Simplify (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) into (* (/ 1 (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k))))) (sqrt k)) 101.503 * [approximate]: Taking taylor expansion of (* (/ 1 (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k))))) (sqrt k)) in (k) around 0 101.503 * [taylor]: Taking taylor expansion of (* (/ 1 (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k))))) (sqrt k)) in k 101.503 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k))))) in k 101.503 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) in k 101.504 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in k 101.504 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in k 101.504 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in k 101.504 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.504 * [taylor]: Taking taylor expansion of 1/2 in k 101.504 * [backup-simplify]: Simplify 1/2 into 1/2 101.504 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.504 * [taylor]: Taking taylor expansion of 1 in k 101.504 * [backup-simplify]: Simplify 1 into 1 101.504 * [taylor]: Taking taylor expansion of k in k 101.504 * [backup-simplify]: Simplify 0 into 0 101.504 * [backup-simplify]: Simplify 1 into 1 101.504 * [taylor]: Taking taylor expansion of (log 2) in k 101.504 * [taylor]: Taking taylor expansion of 2 in k 101.504 * [backup-simplify]: Simplify 2 into 2 101.504 * [backup-simplify]: Simplify (log 2) into (log 2) 101.505 * [backup-simplify]: Simplify (- 0) into 0 101.505 * [backup-simplify]: Simplify (+ 1 0) into 1 101.505 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.506 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 101.508 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 101.508 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 101.508 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 101.508 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 101.508 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.508 * [taylor]: Taking taylor expansion of 1/2 in k 101.508 * [backup-simplify]: Simplify 1/2 into 1/2 101.508 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.508 * [taylor]: Taking taylor expansion of 1 in k 101.508 * [backup-simplify]: Simplify 1 into 1 101.508 * [taylor]: Taking taylor expansion of k in k 101.508 * [backup-simplify]: Simplify 0 into 0 101.508 * [backup-simplify]: Simplify 1 into 1 101.508 * [taylor]: Taking taylor expansion of (log PI) in k 101.508 * [taylor]: Taking taylor expansion of PI in k 101.508 * [backup-simplify]: Simplify PI into PI 101.509 * [backup-simplify]: Simplify (log PI) into (log PI) 101.509 * [backup-simplify]: Simplify (- 0) into 0 101.510 * [backup-simplify]: Simplify (+ 1 0) into 1 101.510 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.511 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 101.513 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 101.514 * [backup-simplify]: Simplify (* (pow 2 1/2) (pow PI 1/2)) into (sqrt (* PI 2)) 101.516 * [backup-simplify]: Simplify (/ 1 (sqrt (* PI 2))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) 101.516 * [taylor]: Taking taylor expansion of (sqrt k) in k 101.516 * [taylor]: Taking taylor expansion of k in k 101.516 * [backup-simplify]: Simplify 0 into 0 101.516 * [backup-simplify]: Simplify 1 into 1 101.516 * [backup-simplify]: Simplify (sqrt 0) into 0 101.517 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 101.517 * [taylor]: Taking taylor expansion of (* (/ 1 (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k))))) (sqrt k)) in k 101.517 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k))))) in k 101.518 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) in k 101.518 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in k 101.518 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in k 101.518 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in k 101.518 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.518 * [taylor]: Taking taylor expansion of 1/2 in k 101.518 * [backup-simplify]: Simplify 1/2 into 1/2 101.518 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.518 * [taylor]: Taking taylor expansion of 1 in k 101.518 * [backup-simplify]: Simplify 1 into 1 101.518 * [taylor]: Taking taylor expansion of k in k 101.518 * [backup-simplify]: Simplify 0 into 0 101.518 * [backup-simplify]: Simplify 1 into 1 101.518 * [taylor]: Taking taylor expansion of (log 2) in k 101.518 * [taylor]: Taking taylor expansion of 2 in k 101.518 * [backup-simplify]: Simplify 2 into 2 101.518 * [backup-simplify]: Simplify (log 2) into (log 2) 101.519 * [backup-simplify]: Simplify (- 0) into 0 101.519 * [backup-simplify]: Simplify (+ 1 0) into 1 101.520 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.520 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 101.522 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 101.522 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 101.522 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 101.522 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 101.522 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.522 * [taylor]: Taking taylor expansion of 1/2 in k 101.522 * [backup-simplify]: Simplify 1/2 into 1/2 101.522 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.522 * [taylor]: Taking taylor expansion of 1 in k 101.522 * [backup-simplify]: Simplify 1 into 1 101.522 * [taylor]: Taking taylor expansion of k in k 101.522 * [backup-simplify]: Simplify 0 into 0 101.522 * [backup-simplify]: Simplify 1 into 1 101.522 * [taylor]: Taking taylor expansion of (log PI) in k 101.522 * [taylor]: Taking taylor expansion of PI in k 101.522 * [backup-simplify]: Simplify PI into PI 101.523 * [backup-simplify]: Simplify (log PI) into (log PI) 101.523 * [backup-simplify]: Simplify (- 0) into 0 101.523 * [backup-simplify]: Simplify (+ 1 0) into 1 101.524 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.525 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 101.526 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 101.527 * [backup-simplify]: Simplify (* (pow 2 1/2) (pow PI 1/2)) into (sqrt (* PI 2)) 101.529 * [backup-simplify]: Simplify (/ 1 (sqrt (* PI 2))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) 101.529 * [taylor]: Taking taylor expansion of (sqrt k) in k 101.529 * [taylor]: Taking taylor expansion of k in k 101.529 * [backup-simplify]: Simplify 0 into 0 101.529 * [backup-simplify]: Simplify 1 into 1 101.530 * [backup-simplify]: Simplify (sqrt 0) into 0 101.531 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 101.532 * [backup-simplify]: Simplify (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) 0) into 0 101.532 * [backup-simplify]: Simplify 0 into 0 101.534 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 101.534 * [backup-simplify]: Simplify (- 1) into -1 101.534 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.535 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 101.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 101.547 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 101.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 101.549 * [backup-simplify]: Simplify (- 1) into -1 101.549 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.550 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 101.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 101.561 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 101.571 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (log 2) (sqrt 2))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) 101.604 * [backup-simplify]: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) (/ (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) (sqrt (* PI 2)))))) into (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))) 101.617 * [backup-simplify]: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) +nan.0) (* (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))) 0)) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))))) 101.622 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))))) 101.625 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 101.628 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 101.629 * [backup-simplify]: Simplify (- 0) into 0 101.629 * [backup-simplify]: Simplify (+ 0 0) into 0 101.630 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 101.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 101.642 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 101.645 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 101.646 * [backup-simplify]: Simplify (- 0) into 0 101.646 * [backup-simplify]: Simplify (+ 0 0) into 0 101.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 101.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 101.659 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 101.674 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) 101.770 * [backup-simplify]: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) (/ (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) (sqrt (* PI 2)))) (* (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))) (/ (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) (sqrt (* PI 2)))))) into (+ (* 1/8 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/4 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI)))))) 101.807 * [backup-simplify]: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) +nan.0) (+ (* (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))) +nan.0) (* (+ (* 1/8 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/4 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI)))))) 0))) into (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))))))) 101.824 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))))))) into (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))))))) 101.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 101.829 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 101.830 * [backup-simplify]: Simplify (- 0) into 0 101.830 * [backup-simplify]: Simplify (+ 0 0) into 0 101.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 101.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 101.841 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 101.843 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 101.844 * [backup-simplify]: Simplify (- 0) into 0 101.844 * [backup-simplify]: Simplify (+ 0 0) into 0 101.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 101.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 101.855 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 101.893 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI))))))) 102.087 * [backup-simplify]: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) (/ (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI))))))) (sqrt (* PI 2)))) (* (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))) (/ (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) (sqrt (* PI 2)))) (* (+ (* 1/8 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/4 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI)))))) (/ (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) (sqrt (* PI 2)))))) into (+ (* 1/48 (* (/ (pow (log PI) 3) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/48 (* (/ (pow (log 2) 3) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/16 (* (/ (* (log 2) (pow (log PI) 2)) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/16 (* (/ (* (pow (log 2) 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI))))))) 102.162 * [backup-simplify]: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) +nan.0) (+ (* (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))) +nan.0) (+ (* (+ (* 1/8 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/4 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI)))))) +nan.0) (* (+ (* 1/48 (* (/ (pow (log PI) 3) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/48 (* (/ (pow (log 2) 3) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/16 (* (/ (* (log 2) (pow (log PI) 2)) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/16 (* (/ (* (pow (log 2) 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI))))))) 0)))) into (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI))))))))))))))) 102.255 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI))))))))))))))) into (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI))))))))))))))) 102.368 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI))))))))))))))) (pow k 3)) (+ (* (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))))))) (pow k 2)) (* (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))))) k))) into (- (+ (* +nan.0 (* (/ (* (log 2) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow k 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log PI) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow k 3) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ k (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (pow (log PI) 2) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log 2) (pow k 2)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log 2) (* (log PI) (pow k 3))) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log PI) (pow k 2)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (* (pow (log 2) 2) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI))))))))))))))))))))))) 102.368 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (* (pow 2 (/ (- 1 (/ 1 k)) 2)) (pow PI (/ (- 1 (/ 1 k)) 2)))) into (* (/ 1 (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k)))))) (sqrt (/ 1 k))) 102.368 * [approximate]: Taking taylor expansion of (* (/ 1 (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k)))))) (sqrt (/ 1 k))) in (k) around 0 102.369 * [taylor]: Taking taylor expansion of (* (/ 1 (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k)))))) (sqrt (/ 1 k))) in k 102.369 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k)))))) in k 102.369 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) in k 102.369 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in k 102.369 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in k 102.369 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in k 102.369 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.369 * [taylor]: Taking taylor expansion of 1/2 in k 102.369 * [backup-simplify]: Simplify 1/2 into 1/2 102.369 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.369 * [taylor]: Taking taylor expansion of 1 in k 102.369 * [backup-simplify]: Simplify 1 into 1 102.369 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.369 * [taylor]: Taking taylor expansion of k in k 102.369 * [backup-simplify]: Simplify 0 into 0 102.369 * [backup-simplify]: Simplify 1 into 1 102.369 * [backup-simplify]: Simplify (/ 1 1) into 1 102.369 * [taylor]: Taking taylor expansion of (log 2) in k 102.369 * [taylor]: Taking taylor expansion of 2 in k 102.369 * [backup-simplify]: Simplify 2 into 2 102.369 * [backup-simplify]: Simplify (log 2) into (log 2) 102.370 * [backup-simplify]: Simplify (- 1) into -1 102.370 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.370 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.371 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 102.371 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 102.371 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 102.371 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 102.371 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 102.371 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.371 * [taylor]: Taking taylor expansion of 1/2 in k 102.371 * [backup-simplify]: Simplify 1/2 into 1/2 102.371 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.371 * [taylor]: Taking taylor expansion of 1 in k 102.371 * [backup-simplify]: Simplify 1 into 1 102.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.371 * [taylor]: Taking taylor expansion of k in k 102.371 * [backup-simplify]: Simplify 0 into 0 102.371 * [backup-simplify]: Simplify 1 into 1 102.371 * [backup-simplify]: Simplify (/ 1 1) into 1 102.371 * [taylor]: Taking taylor expansion of (log PI) in k 102.371 * [taylor]: Taking taylor expansion of PI in k 102.371 * [backup-simplify]: Simplify PI into PI 102.372 * [backup-simplify]: Simplify (log PI) into (log PI) 102.372 * [backup-simplify]: Simplify (- 1) into -1 102.372 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.372 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.373 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 102.373 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 102.374 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) 102.375 * [backup-simplify]: Simplify (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 102.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 102.375 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.375 * [taylor]: Taking taylor expansion of k in k 102.375 * [backup-simplify]: Simplify 0 into 0 102.375 * [backup-simplify]: Simplify 1 into 1 102.375 * [backup-simplify]: Simplify (/ 1 1) into 1 102.375 * [backup-simplify]: Simplify (sqrt 0) into 0 102.376 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.376 * [taylor]: Taking taylor expansion of (* (/ 1 (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k)))))) (sqrt (/ 1 k))) in k 102.376 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k)))))) in k 102.376 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) in k 102.376 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in k 102.376 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in k 102.376 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in k 102.376 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.376 * [taylor]: Taking taylor expansion of 1/2 in k 102.376 * [backup-simplify]: Simplify 1/2 into 1/2 102.376 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.376 * [taylor]: Taking taylor expansion of 1 in k 102.376 * [backup-simplify]: Simplify 1 into 1 102.376 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.376 * [taylor]: Taking taylor expansion of k in k 102.376 * [backup-simplify]: Simplify 0 into 0 102.377 * [backup-simplify]: Simplify 1 into 1 102.377 * [backup-simplify]: Simplify (/ 1 1) into 1 102.377 * [taylor]: Taking taylor expansion of (log 2) in k 102.377 * [taylor]: Taking taylor expansion of 2 in k 102.377 * [backup-simplify]: Simplify 2 into 2 102.377 * [backup-simplify]: Simplify (log 2) into (log 2) 102.377 * [backup-simplify]: Simplify (- 1) into -1 102.378 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.378 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.378 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 102.379 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 102.379 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 102.379 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 102.379 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 102.379 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.379 * [taylor]: Taking taylor expansion of 1/2 in k 102.379 * [backup-simplify]: Simplify 1/2 into 1/2 102.379 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.379 * [taylor]: Taking taylor expansion of 1 in k 102.379 * [backup-simplify]: Simplify 1 into 1 102.379 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.379 * [taylor]: Taking taylor expansion of k in k 102.379 * [backup-simplify]: Simplify 0 into 0 102.379 * [backup-simplify]: Simplify 1 into 1 102.379 * [backup-simplify]: Simplify (/ 1 1) into 1 102.379 * [taylor]: Taking taylor expansion of (log PI) in k 102.379 * [taylor]: Taking taylor expansion of PI in k 102.379 * [backup-simplify]: Simplify PI into PI 102.379 * [backup-simplify]: Simplify (log PI) into (log PI) 102.380 * [backup-simplify]: Simplify (- 1) into -1 102.380 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.380 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.381 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 102.381 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 102.382 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) 102.382 * [backup-simplify]: Simplify (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 102.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 102.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.382 * [taylor]: Taking taylor expansion of k in k 102.382 * [backup-simplify]: Simplify 0 into 0 102.382 * [backup-simplify]: Simplify 1 into 1 102.383 * [backup-simplify]: Simplify (/ 1 1) into 1 102.383 * [backup-simplify]: Simplify (sqrt 0) into 0 102.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.384 * [backup-simplify]: Simplify (* (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) into 0 102.384 * [backup-simplify]: Simplify 0 into 0 102.385 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))) into 0 102.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (/ 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))))) into 0 102.387 * [backup-simplify]: Simplify (+ (* (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.388 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 102.390 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.391 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))))) into 0 102.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (/ 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) (* 0 (/ 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))))) into 0 102.396 * [backup-simplify]: Simplify (+ (* (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.397 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.402 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 102.404 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))))) into 0 102.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (/ 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) (* 0 (/ 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) (* 0 (/ 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))))) into 0 102.410 * [backup-simplify]: Simplify (+ (* (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.411 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.415 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (/ 1 k)) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) k)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (pow k 2)))))))))) 102.415 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (* (pow 2 (/ (- 1 (/ 1 (- k))) 2)) (pow PI (/ (- 1 (/ 1 (- k))) 2)))) into (/ (sqrt (/ -1 k)) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) 102.415 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in (k) around 0 102.415 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in k 102.416 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 102.416 * [taylor]: Taking taylor expansion of (/ -1 k) in k 102.416 * [taylor]: Taking taylor expansion of -1 in k 102.416 * [backup-simplify]: Simplify -1 into -1 102.416 * [taylor]: Taking taylor expansion of k in k 102.416 * [backup-simplify]: Simplify 0 into 0 102.416 * [backup-simplify]: Simplify 1 into 1 102.416 * [backup-simplify]: Simplify (/ -1 1) into -1 102.417 * [backup-simplify]: Simplify (sqrt 0) into 0 102.420 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 102.420 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in k 102.420 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in k 102.421 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in k 102.421 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in k 102.421 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.421 * [taylor]: Taking taylor expansion of 1/2 in k 102.421 * [backup-simplify]: Simplify 1/2 into 1/2 102.421 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.421 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.421 * [taylor]: Taking taylor expansion of k in k 102.421 * [backup-simplify]: Simplify 0 into 0 102.421 * [backup-simplify]: Simplify 1 into 1 102.421 * [backup-simplify]: Simplify (/ 1 1) into 1 102.421 * [taylor]: Taking taylor expansion of 1 in k 102.421 * [backup-simplify]: Simplify 1 into 1 102.421 * [taylor]: Taking taylor expansion of (log 2) in k 102.421 * [taylor]: Taking taylor expansion of 2 in k 102.421 * [backup-simplify]: Simplify 2 into 2 102.422 * [backup-simplify]: Simplify (log 2) into (log 2) 102.422 * [backup-simplify]: Simplify (+ 1 0) into 1 102.423 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.423 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 102.423 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 102.423 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 102.424 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 102.424 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 102.424 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.424 * [taylor]: Taking taylor expansion of 1/2 in k 102.424 * [backup-simplify]: Simplify 1/2 into 1/2 102.424 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.424 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.424 * [taylor]: Taking taylor expansion of k in k 102.424 * [backup-simplify]: Simplify 0 into 0 102.424 * [backup-simplify]: Simplify 1 into 1 102.424 * [backup-simplify]: Simplify (/ 1 1) into 1 102.424 * [taylor]: Taking taylor expansion of 1 in k 102.424 * [backup-simplify]: Simplify 1 into 1 102.424 * [taylor]: Taking taylor expansion of (log PI) in k 102.424 * [taylor]: Taking taylor expansion of PI in k 102.424 * [backup-simplify]: Simplify PI into PI 102.424 * [backup-simplify]: Simplify (log PI) into (log PI) 102.424 * [backup-simplify]: Simplify (+ 1 0) into 1 102.425 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.425 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 102.426 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 102.426 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 102.427 * [backup-simplify]: Simplify (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) 102.427 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in k 102.427 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 102.427 * [taylor]: Taking taylor expansion of (/ -1 k) in k 102.427 * [taylor]: Taking taylor expansion of -1 in k 102.427 * [backup-simplify]: Simplify -1 into -1 102.427 * [taylor]: Taking taylor expansion of k in k 102.427 * [backup-simplify]: Simplify 0 into 0 102.427 * [backup-simplify]: Simplify 1 into 1 102.427 * [backup-simplify]: Simplify (/ -1 1) into -1 102.427 * [backup-simplify]: Simplify (sqrt 0) into 0 102.428 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 102.428 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in k 102.428 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in k 102.428 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in k 102.428 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in k 102.428 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.428 * [taylor]: Taking taylor expansion of 1/2 in k 102.428 * [backup-simplify]: Simplify 1/2 into 1/2 102.428 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.428 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.428 * [taylor]: Taking taylor expansion of k in k 102.428 * [backup-simplify]: Simplify 0 into 0 102.428 * [backup-simplify]: Simplify 1 into 1 102.429 * [backup-simplify]: Simplify (/ 1 1) into 1 102.429 * [taylor]: Taking taylor expansion of 1 in k 102.429 * [backup-simplify]: Simplify 1 into 1 102.429 * [taylor]: Taking taylor expansion of (log 2) in k 102.429 * [taylor]: Taking taylor expansion of 2 in k 102.429 * [backup-simplify]: Simplify 2 into 2 102.429 * [backup-simplify]: Simplify (log 2) into (log 2) 102.429 * [backup-simplify]: Simplify (+ 1 0) into 1 102.430 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.430 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 102.430 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 102.430 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 102.430 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 102.430 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 102.430 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.430 * [taylor]: Taking taylor expansion of 1/2 in k 102.430 * [backup-simplify]: Simplify 1/2 into 1/2 102.431 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.431 * [taylor]: Taking taylor expansion of k in k 102.431 * [backup-simplify]: Simplify 0 into 0 102.431 * [backup-simplify]: Simplify 1 into 1 102.431 * [backup-simplify]: Simplify (/ 1 1) into 1 102.431 * [taylor]: Taking taylor expansion of 1 in k 102.431 * [backup-simplify]: Simplify 1 into 1 102.431 * [taylor]: Taking taylor expansion of (log PI) in k 102.431 * [taylor]: Taking taylor expansion of PI in k 102.431 * [backup-simplify]: Simplify PI into PI 102.431 * [backup-simplify]: Simplify (log PI) into (log PI) 102.431 * [backup-simplify]: Simplify (+ 1 0) into 1 102.432 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.432 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 102.432 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 102.433 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 102.434 * [backup-simplify]: Simplify (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) 102.434 * [backup-simplify]: Simplify (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) 102.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 102.437 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.437 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))) into 0 102.439 * [backup-simplify]: Simplify (- (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) (+ (* (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) (/ 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) 102.440 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) 102.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 102.444 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))))) into 0 102.446 * [backup-simplify]: Simplify (- (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) (+ (* (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) (/ 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) (* (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) (/ 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) 102.447 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) 102.449 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))))))) (/ 1 (- k))) (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) k)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (pow k 2)))))))))) 102.449 * * * * [progress]: [ 4 / 4 ] generating series at (2) 102.450 * [backup-simplify]: Simplify (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) into (* (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) 102.450 * [approximate]: Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in (n k) around 0 102.450 * [taylor]: Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in k 102.450 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in k 102.450 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in k 102.450 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in k 102.450 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in k 102.450 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 102.450 * [taylor]: Taking taylor expansion of 1/2 in k 102.450 * [backup-simplify]: Simplify 1/2 into 1/2 102.450 * [taylor]: Taking taylor expansion of (- 1 k) in k 102.450 * [taylor]: Taking taylor expansion of 1 in k 102.450 * [backup-simplify]: Simplify 1 into 1 102.450 * [taylor]: Taking taylor expansion of k in k 102.450 * [backup-simplify]: Simplify 0 into 0 102.450 * [backup-simplify]: Simplify 1 into 1 102.450 * [taylor]: Taking taylor expansion of (log 2) in k 102.450 * [taylor]: Taking taylor expansion of 2 in k 102.450 * [backup-simplify]: Simplify 2 into 2 102.450 * [backup-simplify]: Simplify (log 2) into (log 2) 102.450 * [backup-simplify]: Simplify (- 0) into 0 102.451 * [backup-simplify]: Simplify (+ 1 0) into 1 102.451 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.452 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 102.454 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 102.454 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in k 102.454 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 102.454 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 102.454 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 102.454 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 102.454 * [taylor]: Taking taylor expansion of 1/2 in k 102.454 * [backup-simplify]: Simplify 1/2 into 1/2 102.454 * [taylor]: Taking taylor expansion of (- 1 k) in k 102.454 * [taylor]: Taking taylor expansion of 1 in k 102.454 * [backup-simplify]: Simplify 1 into 1 102.454 * [taylor]: Taking taylor expansion of k in k 102.454 * [backup-simplify]: Simplify 0 into 0 102.454 * [backup-simplify]: Simplify 1 into 1 102.454 * [taylor]: Taking taylor expansion of (log PI) in k 102.454 * [taylor]: Taking taylor expansion of PI in k 102.454 * [backup-simplify]: Simplify PI into PI 102.454 * [backup-simplify]: Simplify (log PI) into (log PI) 102.455 * [backup-simplify]: Simplify (- 0) into 0 102.455 * [backup-simplify]: Simplify (+ 1 0) into 1 102.456 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.457 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 102.458 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 102.458 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 102.458 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 102.458 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 102.458 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 102.458 * [taylor]: Taking taylor expansion of 1/2 in k 102.458 * [backup-simplify]: Simplify 1/2 into 1/2 102.458 * [taylor]: Taking taylor expansion of (- 1 k) in k 102.458 * [taylor]: Taking taylor expansion of 1 in k 102.458 * [backup-simplify]: Simplify 1 into 1 102.458 * [taylor]: Taking taylor expansion of k in k 102.458 * [backup-simplify]: Simplify 0 into 0 102.458 * [backup-simplify]: Simplify 1 into 1 102.458 * [taylor]: Taking taylor expansion of (log n) in k 102.458 * [taylor]: Taking taylor expansion of n in k 102.459 * [backup-simplify]: Simplify n into n 102.459 * [backup-simplify]: Simplify (log n) into (log n) 102.459 * [backup-simplify]: Simplify (- 0) into 0 102.459 * [backup-simplify]: Simplify (+ 1 0) into 1 102.460 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.460 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 102.460 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 102.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 102.460 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.460 * [taylor]: Taking taylor expansion of k in k 102.460 * [backup-simplify]: Simplify 0 into 0 102.460 * [backup-simplify]: Simplify 1 into 1 102.461 * [backup-simplify]: Simplify (/ 1 1) into 1 102.461 * [backup-simplify]: Simplify (sqrt 0) into 0 102.462 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.462 * [taylor]: Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in n 102.462 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 102.462 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in n 102.463 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in n 102.463 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in n 102.463 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 102.463 * [taylor]: Taking taylor expansion of 1/2 in n 102.463 * [backup-simplify]: Simplify 1/2 into 1/2 102.463 * [taylor]: Taking taylor expansion of (- 1 k) in n 102.463 * [taylor]: Taking taylor expansion of 1 in n 102.463 * [backup-simplify]: Simplify 1 into 1 102.463 * [taylor]: Taking taylor expansion of k in n 102.463 * [backup-simplify]: Simplify k into k 102.463 * [taylor]: Taking taylor expansion of (log 2) in n 102.463 * [taylor]: Taking taylor expansion of 2 in n 102.463 * [backup-simplify]: Simplify 2 into 2 102.463 * [backup-simplify]: Simplify (log 2) into (log 2) 102.463 * [backup-simplify]: Simplify (- k) into (- k) 102.463 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 102.463 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 102.464 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log 2)) into (* 1/2 (* (- 1 k) (log 2))) 102.465 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log 2)))) into (exp (* 1/2 (* (- 1 k) (log 2)))) 102.465 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 102.465 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in n 102.465 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in n 102.465 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in n 102.465 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 102.465 * [taylor]: Taking taylor expansion of 1/2 in n 102.465 * [backup-simplify]: Simplify 1/2 into 1/2 102.465 * [taylor]: Taking taylor expansion of (- 1 k) in n 102.465 * [taylor]: Taking taylor expansion of 1 in n 102.465 * [backup-simplify]: Simplify 1 into 1 102.465 * [taylor]: Taking taylor expansion of k in n 102.465 * [backup-simplify]: Simplify k into k 102.465 * [taylor]: Taking taylor expansion of (log PI) in n 102.465 * [taylor]: Taking taylor expansion of PI in n 102.465 * [backup-simplify]: Simplify PI into PI 102.465 * [backup-simplify]: Simplify (log PI) into (log PI) 102.466 * [backup-simplify]: Simplify (- k) into (- k) 102.466 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 102.466 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 102.466 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI))) 102.467 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 102.467 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 102.467 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 102.467 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 102.467 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 102.467 * [taylor]: Taking taylor expansion of 1/2 in n 102.467 * [backup-simplify]: Simplify 1/2 into 1/2 102.467 * [taylor]: Taking taylor expansion of (- 1 k) in n 102.467 * [taylor]: Taking taylor expansion of 1 in n 102.467 * [backup-simplify]: Simplify 1 into 1 102.467 * [taylor]: Taking taylor expansion of k in n 102.467 * [backup-simplify]: Simplify k into k 102.467 * [taylor]: Taking taylor expansion of (log n) in n 102.467 * [taylor]: Taking taylor expansion of n in n 102.467 * [backup-simplify]: Simplify 0 into 0 102.467 * [backup-simplify]: Simplify 1 into 1 102.467 * [backup-simplify]: Simplify (log 1) into 0 102.468 * [backup-simplify]: Simplify (- k) into (- k) 102.468 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 102.468 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 102.468 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 102.468 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 102.468 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 102.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 102.468 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.468 * [taylor]: Taking taylor expansion of k in n 102.468 * [backup-simplify]: Simplify k into k 102.469 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.469 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 102.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 102.469 * [taylor]: Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in n 102.469 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 102.469 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in n 102.469 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in n 102.469 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in n 102.469 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 102.469 * [taylor]: Taking taylor expansion of 1/2 in n 102.469 * [backup-simplify]: Simplify 1/2 into 1/2 102.469 * [taylor]: Taking taylor expansion of (- 1 k) in n 102.469 * [taylor]: Taking taylor expansion of 1 in n 102.469 * [backup-simplify]: Simplify 1 into 1 102.469 * [taylor]: Taking taylor expansion of k in n 102.469 * [backup-simplify]: Simplify k into k 102.469 * [taylor]: Taking taylor expansion of (log 2) in n 102.469 * [taylor]: Taking taylor expansion of 2 in n 102.469 * [backup-simplify]: Simplify 2 into 2 102.470 * [backup-simplify]: Simplify (log 2) into (log 2) 102.470 * [backup-simplify]: Simplify (- k) into (- k) 102.470 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 102.470 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 102.470 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log 2)) into (* 1/2 (* (- 1 k) (log 2))) 102.471 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log 2)))) into (exp (* 1/2 (* (- 1 k) (log 2)))) 102.471 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 102.471 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in n 102.471 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in n 102.471 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in n 102.471 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 102.471 * [taylor]: Taking taylor expansion of 1/2 in n 102.471 * [backup-simplify]: Simplify 1/2 into 1/2 102.471 * [taylor]: Taking taylor expansion of (- 1 k) in n 102.471 * [taylor]: Taking taylor expansion of 1 in n 102.471 * [backup-simplify]: Simplify 1 into 1 102.471 * [taylor]: Taking taylor expansion of k in n 102.471 * [backup-simplify]: Simplify k into k 102.471 * [taylor]: Taking taylor expansion of (log PI) in n 102.471 * [taylor]: Taking taylor expansion of PI in n 102.471 * [backup-simplify]: Simplify PI into PI 102.472 * [backup-simplify]: Simplify (log PI) into (log PI) 102.472 * [backup-simplify]: Simplify (- k) into (- k) 102.472 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 102.472 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 102.472 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI))) 102.473 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 102.473 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 102.473 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 102.473 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 102.473 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 102.473 * [taylor]: Taking taylor expansion of 1/2 in n 102.473 * [backup-simplify]: Simplify 1/2 into 1/2 102.473 * [taylor]: Taking taylor expansion of (- 1 k) in n 102.473 * [taylor]: Taking taylor expansion of 1 in n 102.473 * [backup-simplify]: Simplify 1 into 1 102.473 * [taylor]: Taking taylor expansion of k in n 102.473 * [backup-simplify]: Simplify k into k 102.473 * [taylor]: Taking taylor expansion of (log n) in n 102.473 * [taylor]: Taking taylor expansion of n in n 102.473 * [backup-simplify]: Simplify 0 into 0 102.473 * [backup-simplify]: Simplify 1 into 1 102.474 * [backup-simplify]: Simplify (log 1) into 0 102.474 * [backup-simplify]: Simplify (- k) into (- k) 102.474 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 102.474 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 102.475 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 102.475 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 102.475 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 102.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 102.475 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.475 * [taylor]: Taking taylor expansion of k in n 102.475 * [backup-simplify]: Simplify k into k 102.475 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.475 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 102.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 102.476 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))) into (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))) 102.477 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) into (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 102.478 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) (sqrt (/ 1 k))) into (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) (sqrt (/ 1 k))) 102.478 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) (sqrt (/ 1 k))) in k 102.478 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) in k 102.478 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log 2)))) in k 102.478 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log 2))) in k 102.478 * [taylor]: Taking taylor expansion of 1/2 in k 102.478 * [backup-simplify]: Simplify 1/2 into 1/2 102.478 * [taylor]: Taking taylor expansion of (* (- 1 k) (log 2)) in k 102.478 * [taylor]: Taking taylor expansion of (- 1 k) in k 102.478 * [taylor]: Taking taylor expansion of 1 in k 102.479 * [backup-simplify]: Simplify 1 into 1 102.479 * [taylor]: Taking taylor expansion of k in k 102.479 * [backup-simplify]: Simplify 0 into 0 102.479 * [backup-simplify]: Simplify 1 into 1 102.479 * [taylor]: Taking taylor expansion of (log 2) in k 102.479 * [taylor]: Taking taylor expansion of 2 in k 102.479 * [backup-simplify]: Simplify 2 into 2 102.479 * [backup-simplify]: Simplify (log 2) into (log 2) 102.480 * [backup-simplify]: Simplify (- 0) into 0 102.480 * [backup-simplify]: Simplify (+ 1 0) into 1 102.481 * [backup-simplify]: Simplify (* 1 (log 2)) into (log 2) 102.482 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 102.483 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 102.483 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))) in k 102.484 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log PI)))) in k 102.484 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in k 102.484 * [taylor]: Taking taylor expansion of 1/2 in k 102.484 * [backup-simplify]: Simplify 1/2 into 1/2 102.484 * [taylor]: Taking taylor expansion of (* (- 1 k) (log PI)) in k 102.484 * [taylor]: Taking taylor expansion of (- 1 k) in k 102.484 * [taylor]: Taking taylor expansion of 1 in k 102.484 * [backup-simplify]: Simplify 1 into 1 102.484 * [taylor]: Taking taylor expansion of k in k 102.484 * [backup-simplify]: Simplify 0 into 0 102.484 * [backup-simplify]: Simplify 1 into 1 102.484 * [taylor]: Taking taylor expansion of (log PI) in k 102.484 * [taylor]: Taking taylor expansion of PI in k 102.484 * [backup-simplify]: Simplify PI into PI 102.484 * [backup-simplify]: Simplify (log PI) into (log PI) 102.485 * [backup-simplify]: Simplify (- 0) into 0 102.485 * [backup-simplify]: Simplify (+ 1 0) into 1 102.486 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 102.487 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 102.488 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 102.488 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 102.488 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 102.488 * [taylor]: Taking taylor expansion of 1/2 in k 102.488 * [backup-simplify]: Simplify 1/2 into 1/2 102.488 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 102.488 * [taylor]: Taking taylor expansion of (- 1 k) in k 102.488 * [taylor]: Taking taylor expansion of 1 in k 102.489 * [backup-simplify]: Simplify 1 into 1 102.489 * [taylor]: Taking taylor expansion of k in k 102.489 * [backup-simplify]: Simplify 0 into 0 102.489 * [backup-simplify]: Simplify 1 into 1 102.489 * [taylor]: Taking taylor expansion of (log n) in k 102.489 * [taylor]: Taking taylor expansion of n in k 102.489 * [backup-simplify]: Simplify n into n 102.489 * [backup-simplify]: Simplify (log n) into (log n) 102.489 * [backup-simplify]: Simplify (- 0) into 0 102.490 * [backup-simplify]: Simplify (+ 1 0) into 1 102.490 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 102.490 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 102.490 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 102.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 102.490 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.490 * [taylor]: Taking taylor expansion of k in k 102.490 * [backup-simplify]: Simplify 0 into 0 102.490 * [backup-simplify]: Simplify 1 into 1 102.490 * [backup-simplify]: Simplify (/ 1 1) into 1 102.491 * [backup-simplify]: Simplify (sqrt 0) into 0 102.492 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.493 * [backup-simplify]: Simplify (* (pow PI 1/2) (pow n 1/2)) into (sqrt (* n PI)) 102.493 * [backup-simplify]: Simplify (* (pow 2 1/2) (sqrt (* n PI))) into (sqrt (* PI (* n 2))) 102.493 * [backup-simplify]: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 102.493 * [backup-simplify]: Simplify 0 into 0 102.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 102.495 * [backup-simplify]: Simplify (- 0) into 0 102.495 * [backup-simplify]: Simplify (+ 0 0) into 0 102.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 102.496 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 102.497 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 102.497 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 102.499 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 102.499 * [backup-simplify]: Simplify (- 0) into 0 102.500 * [backup-simplify]: Simplify (+ 0 0) into 0 102.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 102.501 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log PI))) into 0 102.502 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 102.503 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))) into 0 102.504 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 102.504 * [backup-simplify]: Simplify (- 0) into 0 102.505 * [backup-simplify]: Simplify (+ 0 0) into 0 102.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 102.506 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log 2))) into 0 102.507 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 102.508 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log 2)))) 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 102.509 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 102.509 * [taylor]: Taking taylor expansion of 0 in k 102.509 * [backup-simplify]: Simplify 0 into 0 102.510 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 102.511 * [backup-simplify]: Simplify (- 1) into -1 102.511 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.512 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 102.512 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 102.512 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 102.513 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 102.514 * [backup-simplify]: Simplify (- 1) into -1 102.514 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.516 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log PI))) into (- (log PI)) 102.517 * [backup-simplify]: Simplify (+ (* 1/2 (- (log PI))) (* 0 (log PI))) into (- (* 1/2 (log PI))) 102.522 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 102.524 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/2 (* (log PI) (sqrt PI))) (pow n 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n)))))) 102.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 102.526 * [backup-simplify]: Simplify (- 1) into -1 102.526 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.527 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log 2))) into (- (log 2)) 102.529 * [backup-simplify]: Simplify (+ (* 1/2 (- (log 2))) (* 0 (log 2))) into (- (* 1/2 (log 2))) 102.536 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 102.538 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* -1/2 (* (log 2) (sqrt 2))) (sqrt (* n PI)))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 102.540 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 102.540 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 102.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.541 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 102.542 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 102.542 * [backup-simplify]: Simplify (- 0) into 0 102.543 * [backup-simplify]: Simplify (+ 0 0) into 0 102.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 102.543 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 102.544 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 102.545 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.546 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 102.546 * [backup-simplify]: Simplify (- 0) into 0 102.547 * [backup-simplify]: Simplify (+ 0 0) into 0 102.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 102.548 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 102.549 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.549 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 102.551 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 102.551 * [backup-simplify]: Simplify (- 0) into 0 102.551 * [backup-simplify]: Simplify (+ 0 0) into 0 102.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 102.552 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 102.553 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.554 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log 2)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))))) into 0 102.555 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 102.555 * [taylor]: Taking taylor expansion of 0 in k 102.555 * [backup-simplify]: Simplify 0 into 0 102.555 * [backup-simplify]: Simplify 0 into 0 102.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 102.557 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.558 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 102.559 * [backup-simplify]: Simplify (- 0) into 0 102.559 * [backup-simplify]: Simplify (+ 0 0) into 0 102.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 102.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 102.560 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 102.562 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 102.562 * [backup-simplify]: Simplify (- 0) into 0 102.562 * [backup-simplify]: Simplify (+ 0 0) into 0 102.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log PI)))) into 0 102.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log PI))) (* 0 (log PI)))) into 0 102.573 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 102.580 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* -1/2 (* (sqrt n) (log n)))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow n 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))))) 102.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 102.584 * [backup-simplify]: Simplify (- 0) into 0 102.584 * [backup-simplify]: Simplify (+ 0 0) into 0 102.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log 2)))) into 0 102.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log 2))) (* 0 (log 2)))) into 0 102.596 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 102.601 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n))))))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (sqrt (* n PI))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 102.610 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) 102.613 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) 102.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 102.616 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 102.616 * [backup-simplify]: Simplify (- 0) into 0 102.617 * [backup-simplify]: Simplify (+ 0 0) into 0 102.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 102.618 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 102.618 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 102.619 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 102.622 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 102.623 * [backup-simplify]: Simplify (- 0) into 0 102.623 * [backup-simplify]: Simplify (+ 0 0) into 0 102.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 102.628 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 102.630 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 102.631 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))))) into 0 102.637 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 102.637 * [backup-simplify]: Simplify (- 0) into 0 102.637 * [backup-simplify]: Simplify (+ 0 0) into 0 102.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 102.640 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 102.642 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 102.644 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log 2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))))))) into 0 102.645 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 102.645 * [taylor]: Taking taylor expansion of 0 in k 102.645 * [backup-simplify]: Simplify 0 into 0 102.646 * [backup-simplify]: Simplify 0 into 0 102.646 * [backup-simplify]: Simplify 0 into 0 102.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 102.654 * [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 0 102.654 * [backup-simplify]: Simplify (- 0) into 0 102.654 * [backup-simplify]: Simplify (+ 0 0) into 0 102.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log n))))) into 0 102.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log n))) (* 0 (log n))))) into 0 102.657 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 102.660 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 102.660 * [backup-simplify]: Simplify (- 0) into 0 102.660 * [backup-simplify]: Simplify (+ 0 0) into 0 102.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log PI))))) into 0 102.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log PI))) (* 0 (log PI))))) into 0 102.670 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 102.676 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* -1/48 (* (sqrt n) (pow (log n) 3)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/48 (* (pow (log PI) 3) (sqrt PI))) (pow n 1/2))))) into (- (+ (* 1/48 (* (pow (log PI) 3) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log PI) 2) (log n)) (sqrt (* PI n)))) (+ (* 1/48 (* (sqrt (* n PI)) (pow (log n) 3))) (* 1/16 (* (* (log PI) (pow (log n) 2)) (sqrt (* PI n)))))))) 102.679 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 102.679 * [backup-simplify]: Simplify (- 0) into 0 102.679 * [backup-simplify]: Simplify (+ 0 0) into 0 102.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log 2))))) into 0 102.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log 2))) (* 0 (log 2))))) into 0 102.689 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 102.699 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (- (+ (* 1/48 (* (pow (log PI) 3) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log PI) 2) (log n)) (sqrt (* PI n)))) (+ (* 1/48 (* (sqrt (* n PI)) (pow (log n) 3))) (* 1/16 (* (* (log PI) (pow (log n) 2)) (sqrt (* PI n))))))))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n))))))) (+ (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (sqrt (* n PI)))))) into (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))))))))))))) 102.736 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) +nan.0) (* (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))))))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) 102.750 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) 102.766 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) (* k 1)) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) into (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))))))))))))) 102.766 * [backup-simplify]: Simplify (/ (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (/ (sqrt (/ 1 k)) (* (pow 2 (/ (- 1 (/ 1 k)) 2)) (pow PI (/ (- 1 (/ 1 k)) 2))))) into (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) 102.766 * [approximate]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in (n k) around 0 102.766 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in k 102.766 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in k 102.766 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 102.766 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 102.766 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 102.766 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.766 * [taylor]: Taking taylor expansion of 1/2 in k 102.766 * [backup-simplify]: Simplify 1/2 into 1/2 102.766 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.766 * [taylor]: Taking taylor expansion of 1 in k 102.766 * [backup-simplify]: Simplify 1 into 1 102.766 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.766 * [taylor]: Taking taylor expansion of k in k 102.766 * [backup-simplify]: Simplify 0 into 0 102.766 * [backup-simplify]: Simplify 1 into 1 102.767 * [backup-simplify]: Simplify (/ 1 1) into 1 102.767 * [taylor]: Taking taylor expansion of (log PI) in k 102.767 * [taylor]: Taking taylor expansion of PI in k 102.767 * [backup-simplify]: Simplify PI into PI 102.767 * [backup-simplify]: Simplify (log PI) into (log PI) 102.767 * [backup-simplify]: Simplify (- 1) into -1 102.768 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.768 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.768 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 102.769 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 102.769 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in k 102.769 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 102.769 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 102.769 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 102.769 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.769 * [taylor]: Taking taylor expansion of 1/2 in k 102.769 * [backup-simplify]: Simplify 1/2 into 1/2 102.769 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.769 * [taylor]: Taking taylor expansion of 1 in k 102.769 * [backup-simplify]: Simplify 1 into 1 102.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.769 * [taylor]: Taking taylor expansion of k in k 102.769 * [backup-simplify]: Simplify 0 into 0 102.769 * [backup-simplify]: Simplify 1 into 1 102.769 * [backup-simplify]: Simplify (/ 1 1) into 1 102.769 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 102.769 * [taylor]: Taking taylor expansion of (/ 1 n) in k 102.769 * [taylor]: Taking taylor expansion of n in k 102.769 * [backup-simplify]: Simplify n into n 102.769 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 102.769 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 102.769 * [backup-simplify]: Simplify (- 1) into -1 102.770 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.770 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.770 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 102.770 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 102.770 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in k 102.770 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in k 102.770 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in k 102.770 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.770 * [taylor]: Taking taylor expansion of 1/2 in k 102.770 * [backup-simplify]: Simplify 1/2 into 1/2 102.770 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.770 * [taylor]: Taking taylor expansion of 1 in k 102.770 * [backup-simplify]: Simplify 1 into 1 102.770 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.770 * [taylor]: Taking taylor expansion of k in k 102.770 * [backup-simplify]: Simplify 0 into 0 102.770 * [backup-simplify]: Simplify 1 into 1 102.771 * [backup-simplify]: Simplify (/ 1 1) into 1 102.771 * [taylor]: Taking taylor expansion of (log 2) in k 102.771 * [taylor]: Taking taylor expansion of 2 in k 102.771 * [backup-simplify]: Simplify 2 into 2 102.771 * [backup-simplify]: Simplify (log 2) into (log 2) 102.771 * [backup-simplify]: Simplify (- 1) into -1 102.772 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.772 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.773 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 102.773 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 102.773 * [taylor]: Taking taylor expansion of (sqrt k) in k 102.773 * [taylor]: Taking taylor expansion of k in k 102.773 * [backup-simplify]: Simplify 0 into 0 102.773 * [backup-simplify]: Simplify 1 into 1 102.773 * [backup-simplify]: Simplify (sqrt 0) into 0 102.774 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.774 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in n 102.774 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in n 102.774 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in n 102.774 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in n 102.774 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in n 102.774 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.774 * [taylor]: Taking taylor expansion of 1/2 in n 102.774 * [backup-simplify]: Simplify 1/2 into 1/2 102.774 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.774 * [taylor]: Taking taylor expansion of 1 in n 102.774 * [backup-simplify]: Simplify 1 into 1 102.774 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.774 * [taylor]: Taking taylor expansion of k in n 102.774 * [backup-simplify]: Simplify k into k 102.774 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.774 * [taylor]: Taking taylor expansion of (log PI) in n 102.774 * [taylor]: Taking taylor expansion of PI in n 102.774 * [backup-simplify]: Simplify PI into PI 102.775 * [backup-simplify]: Simplify (log PI) into (log PI) 102.775 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.775 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.775 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.775 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 102.775 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 102.775 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in n 102.775 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 102.776 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 102.776 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 102.776 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.776 * [taylor]: Taking taylor expansion of 1/2 in n 102.776 * [backup-simplify]: Simplify 1/2 into 1/2 102.776 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.776 * [taylor]: Taking taylor expansion of 1 in n 102.776 * [backup-simplify]: Simplify 1 into 1 102.776 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.776 * [taylor]: Taking taylor expansion of k in n 102.776 * [backup-simplify]: Simplify k into k 102.776 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.776 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 102.776 * [taylor]: Taking taylor expansion of (/ 1 n) in n 102.776 * [taylor]: Taking taylor expansion of n in n 102.776 * [backup-simplify]: Simplify 0 into 0 102.776 * [backup-simplify]: Simplify 1 into 1 102.776 * [backup-simplify]: Simplify (/ 1 1) into 1 102.776 * [backup-simplify]: Simplify (log 1) into 0 102.776 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.776 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.776 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.777 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 102.777 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 102.777 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 102.777 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in n 102.777 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in n 102.777 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in n 102.777 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.777 * [taylor]: Taking taylor expansion of 1/2 in n 102.777 * [backup-simplify]: Simplify 1/2 into 1/2 102.777 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.777 * [taylor]: Taking taylor expansion of 1 in n 102.777 * [backup-simplify]: Simplify 1 into 1 102.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.777 * [taylor]: Taking taylor expansion of k in n 102.777 * [backup-simplify]: Simplify k into k 102.777 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.777 * [taylor]: Taking taylor expansion of (log 2) in n 102.777 * [taylor]: Taking taylor expansion of 2 in n 102.777 * [backup-simplify]: Simplify 2 into 2 102.777 * [backup-simplify]: Simplify (log 2) into (log 2) 102.777 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.778 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.778 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.778 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log 2)) into (* 1/2 (* (log 2) (- 1 (/ 1 k)))) 102.778 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 102.778 * [taylor]: Taking taylor expansion of (sqrt k) in n 102.778 * [taylor]: Taking taylor expansion of k in n 102.778 * [backup-simplify]: Simplify k into k 102.778 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 102.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 102.778 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in n 102.778 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in n 102.778 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in n 102.778 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in n 102.778 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in n 102.778 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.779 * [taylor]: Taking taylor expansion of 1/2 in n 102.779 * [backup-simplify]: Simplify 1/2 into 1/2 102.779 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.779 * [taylor]: Taking taylor expansion of 1 in n 102.779 * [backup-simplify]: Simplify 1 into 1 102.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.779 * [taylor]: Taking taylor expansion of k in n 102.779 * [backup-simplify]: Simplify k into k 102.779 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.779 * [taylor]: Taking taylor expansion of (log PI) in n 102.779 * [taylor]: Taking taylor expansion of PI in n 102.779 * [backup-simplify]: Simplify PI into PI 102.779 * [backup-simplify]: Simplify (log PI) into (log PI) 102.779 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.779 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.780 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.780 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 102.781 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 102.781 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in n 102.781 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 102.781 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 102.781 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 102.781 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.781 * [taylor]: Taking taylor expansion of 1/2 in n 102.781 * [backup-simplify]: Simplify 1/2 into 1/2 102.781 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.781 * [taylor]: Taking taylor expansion of 1 in n 102.781 * [backup-simplify]: Simplify 1 into 1 102.781 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.781 * [taylor]: Taking taylor expansion of k in n 102.781 * [backup-simplify]: Simplify k into k 102.781 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.781 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 102.781 * [taylor]: Taking taylor expansion of (/ 1 n) in n 102.781 * [taylor]: Taking taylor expansion of n in n 102.781 * [backup-simplify]: Simplify 0 into 0 102.781 * [backup-simplify]: Simplify 1 into 1 102.781 * [backup-simplify]: Simplify (/ 1 1) into 1 102.782 * [backup-simplify]: Simplify (log 1) into 0 102.782 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.782 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.782 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.783 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 102.783 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 102.783 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 102.783 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in n 102.783 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in n 102.783 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in n 102.783 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.783 * [taylor]: Taking taylor expansion of 1/2 in n 102.783 * [backup-simplify]: Simplify 1/2 into 1/2 102.783 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.783 * [taylor]: Taking taylor expansion of 1 in n 102.783 * [backup-simplify]: Simplify 1 into 1 102.783 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.783 * [taylor]: Taking taylor expansion of k in n 102.783 * [backup-simplify]: Simplify k into k 102.783 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.783 * [taylor]: Taking taylor expansion of (log 2) in n 102.783 * [taylor]: Taking taylor expansion of 2 in n 102.783 * [backup-simplify]: Simplify 2 into 2 102.783 * [backup-simplify]: Simplify (log 2) into (log 2) 102.783 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.783 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.783 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.784 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log 2)) into (* 1/2 (* (log 2) (- 1 (/ 1 k)))) 102.784 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 102.784 * [taylor]: Taking taylor expansion of (sqrt k) in n 102.784 * [taylor]: Taking taylor expansion of k in n 102.784 * [backup-simplify]: Simplify k into k 102.784 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 102.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 102.785 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) into (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 102.785 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 102.786 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (sqrt k)) into (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (sqrt k)) 102.786 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (sqrt k)) in k 102.786 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) in k 102.786 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in k 102.786 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in k 102.786 * [taylor]: Taking taylor expansion of 1/2 in k 102.786 * [backup-simplify]: Simplify 1/2 into 1/2 102.786 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in k 102.786 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.786 * [taylor]: Taking taylor expansion of 1 in k 102.786 * [backup-simplify]: Simplify 1 into 1 102.786 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.786 * [taylor]: Taking taylor expansion of k in k 102.786 * [backup-simplify]: Simplify 0 into 0 102.786 * [backup-simplify]: Simplify 1 into 1 102.787 * [backup-simplify]: Simplify (/ 1 1) into 1 102.787 * [taylor]: Taking taylor expansion of (log PI) in k 102.787 * [taylor]: Taking taylor expansion of PI in k 102.787 * [backup-simplify]: Simplify PI into PI 102.787 * [backup-simplify]: Simplify (log PI) into (log PI) 102.787 * [backup-simplify]: Simplify (- 1) into -1 102.787 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.788 * [backup-simplify]: Simplify (* -1 (log PI)) into (* -1 (log PI)) 102.789 * [backup-simplify]: Simplify (* 1/2 (* -1 (log PI))) into (* -1/2 (log PI)) 102.789 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 102.789 * [taylor]: Taking taylor expansion of (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) in k 102.789 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 102.789 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 102.789 * [taylor]: Taking taylor expansion of -1/2 in k 102.789 * [backup-simplify]: Simplify -1/2 into -1/2 102.789 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 102.789 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.789 * [taylor]: Taking taylor expansion of 1 in k 102.789 * [backup-simplify]: Simplify 1 into 1 102.789 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.789 * [taylor]: Taking taylor expansion of k in k 102.789 * [backup-simplify]: Simplify 0 into 0 102.789 * [backup-simplify]: Simplify 1 into 1 102.790 * [backup-simplify]: Simplify (/ 1 1) into 1 102.790 * [taylor]: Taking taylor expansion of (log n) in k 102.790 * [taylor]: Taking taylor expansion of n in k 102.790 * [backup-simplify]: Simplify n into n 102.790 * [backup-simplify]: Simplify (log n) into (log n) 102.790 * [backup-simplify]: Simplify (- 1) into -1 102.790 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.790 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 102.790 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 102.790 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 102.790 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) in k 102.790 * [taylor]: Taking taylor expansion of (* 1/2 (* (log 2) (- 1 (/ 1 k)))) in k 102.790 * [taylor]: Taking taylor expansion of 1/2 in k 102.790 * [backup-simplify]: Simplify 1/2 into 1/2 102.790 * [taylor]: Taking taylor expansion of (* (log 2) (- 1 (/ 1 k))) in k 102.791 * [taylor]: Taking taylor expansion of (log 2) in k 102.791 * [taylor]: Taking taylor expansion of 2 in k 102.791 * [backup-simplify]: Simplify 2 into 2 102.791 * [backup-simplify]: Simplify (log 2) into (log 2) 102.791 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.791 * [taylor]: Taking taylor expansion of 1 in k 102.791 * [backup-simplify]: Simplify 1 into 1 102.791 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.791 * [taylor]: Taking taylor expansion of k in k 102.791 * [backup-simplify]: Simplify 0 into 0 102.791 * [backup-simplify]: Simplify 1 into 1 102.791 * [backup-simplify]: Simplify (/ 1 1) into 1 102.791 * [backup-simplify]: Simplify (- 1) into -1 102.792 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.792 * [backup-simplify]: Simplify (* (log 2) -1) into (* -1 (log 2)) 102.793 * [backup-simplify]: Simplify (* 1/2 (* -1 (log 2))) into (* -1/2 (log 2)) 102.793 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 102.793 * [taylor]: Taking taylor expansion of (sqrt k) in k 102.793 * [taylor]: Taking taylor expansion of k in k 102.793 * [backup-simplify]: Simplify 0 into 0 102.793 * [backup-simplify]: Simplify 1 into 1 102.794 * [backup-simplify]: Simplify (sqrt 0) into 0 102.794 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.795 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) into (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 102.796 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 102.796 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) into 0 102.797 * [backup-simplify]: Simplify 0 into 0 102.797 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 102.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.798 * [backup-simplify]: Simplify (- 0) into 0 102.798 * [backup-simplify]: Simplify (+ 0 0) into 0 102.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 102.799 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log 2))) into 0 102.799 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 102.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 102.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 102.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.801 * [backup-simplify]: Simplify (- 0) into 0 102.801 * [backup-simplify]: Simplify (+ 0 0) into 0 102.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 102.802 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 102.802 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 102.802 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 102.803 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into 0 102.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 102.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.804 * [backup-simplify]: Simplify (- 0) into 0 102.804 * [backup-simplify]: Simplify (+ 0 0) into 0 102.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 102.805 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log PI))) into 0 102.805 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 102.806 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 102.809 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) (* 0 (sqrt k))) into 0 102.809 * [taylor]: Taking taylor expansion of 0 in k 102.809 * [backup-simplify]: Simplify 0 into 0 102.809 * [backup-simplify]: Simplify 0 into 0 102.809 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into 0 102.810 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 102.811 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.812 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.812 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 102.814 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 102.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.814 * [backup-simplify]: Simplify (- 0) into 0 102.814 * [backup-simplify]: Simplify (+ 0 0) into 0 102.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 102.815 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 102.816 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.818 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 102.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.819 * [backup-simplify]: Simplify (- 0) into 0 102.819 * [backup-simplify]: Simplify (+ 0 0) into 0 102.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 102.820 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 102.820 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 102.821 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.821 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into 0 102.823 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 102.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.823 * [backup-simplify]: Simplify (- 0) into 0 102.824 * [backup-simplify]: Simplify (+ 0 0) into 0 102.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 102.825 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 102.826 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.827 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))))) into 0 102.827 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 102.828 * [taylor]: Taking taylor expansion of 0 in k 102.828 * [backup-simplify]: Simplify 0 into 0 102.828 * [backup-simplify]: Simplify 0 into 0 102.828 * [backup-simplify]: Simplify 0 into 0 102.829 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.830 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into 0 102.831 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))))) into 0 102.832 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.833 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 102.836 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 102.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.837 * [backup-simplify]: Simplify (- 0) into 0 102.837 * [backup-simplify]: Simplify (+ 0 0) into 0 102.838 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 102.838 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 102.840 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 102.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.843 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 102.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.843 * [backup-simplify]: Simplify (- 0) into 0 102.844 * [backup-simplify]: Simplify (+ 0 0) into 0 102.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 102.845 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 102.845 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 102.846 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 102.847 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into 0 102.850 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 102.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.851 * [backup-simplify]: Simplify (- 0) into 0 102.851 * [backup-simplify]: Simplify (+ 0 0) into 0 102.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 102.853 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 102.855 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 102.856 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))))) into 0 102.857 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 102.857 * [taylor]: Taking taylor expansion of 0 in k 102.857 * [backup-simplify]: Simplify 0 into 0 102.857 * [backup-simplify]: Simplify 0 into 0 102.857 * [backup-simplify]: Simplify 0 into 0 102.857 * [backup-simplify]: Simplify 0 into 0 102.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 102.861 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into 0 102.862 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))))) into 0 102.863 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.863 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.866 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k))))))) 102.867 * [backup-simplify]: Simplify (/ (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (/ (sqrt (/ 1 (- k))) (* (pow 2 (/ (- 1 (/ 1 (- k))) 2)) (pow PI (/ (- 1 (/ 1 (- k))) 2))))) into (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) 102.867 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in (n k) around 0 102.867 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in k 102.867 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in k 102.867 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 102.867 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 102.867 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 102.867 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.867 * [taylor]: Taking taylor expansion of 1/2 in k 102.867 * [backup-simplify]: Simplify 1/2 into 1/2 102.867 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.867 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.867 * [taylor]: Taking taylor expansion of k in k 102.867 * [backup-simplify]: Simplify 0 into 0 102.867 * [backup-simplify]: Simplify 1 into 1 102.867 * [backup-simplify]: Simplify (/ 1 1) into 1 102.867 * [taylor]: Taking taylor expansion of 1 in k 102.867 * [backup-simplify]: Simplify 1 into 1 102.867 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 102.867 * [taylor]: Taking taylor expansion of (/ -1 n) in k 102.867 * [taylor]: Taking taylor expansion of -1 in k 102.867 * [backup-simplify]: Simplify -1 into -1 102.867 * [taylor]: Taking taylor expansion of n in k 102.867 * [backup-simplify]: Simplify n into n 102.867 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 102.867 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 102.868 * [backup-simplify]: Simplify (+ 1 0) into 1 102.868 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.868 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 102.868 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 102.868 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in k 102.868 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in k 102.868 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in k 102.868 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in k 102.868 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.868 * [taylor]: Taking taylor expansion of 1/2 in k 102.868 * [backup-simplify]: Simplify 1/2 into 1/2 102.868 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.868 * [taylor]: Taking taylor expansion of k in k 102.868 * [backup-simplify]: Simplify 0 into 0 102.868 * [backup-simplify]: Simplify 1 into 1 102.868 * [backup-simplify]: Simplify (/ 1 1) into 1 102.868 * [taylor]: Taking taylor expansion of 1 in k 102.868 * [backup-simplify]: Simplify 1 into 1 102.869 * [taylor]: Taking taylor expansion of (log 2) in k 102.869 * [taylor]: Taking taylor expansion of 2 in k 102.869 * [backup-simplify]: Simplify 2 into 2 102.869 * [backup-simplify]: Simplify (log 2) into (log 2) 102.869 * [backup-simplify]: Simplify (+ 1 0) into 1 102.869 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.870 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 102.870 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 102.870 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 102.870 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 102.870 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 102.870 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.870 * [taylor]: Taking taylor expansion of 1/2 in k 102.870 * [backup-simplify]: Simplify 1/2 into 1/2 102.870 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.870 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.870 * [taylor]: Taking taylor expansion of k in k 102.870 * [backup-simplify]: Simplify 0 into 0 102.870 * [backup-simplify]: Simplify 1 into 1 102.871 * [backup-simplify]: Simplify (/ 1 1) into 1 102.871 * [taylor]: Taking taylor expansion of 1 in k 102.871 * [backup-simplify]: Simplify 1 into 1 102.871 * [taylor]: Taking taylor expansion of (log PI) in k 102.871 * [taylor]: Taking taylor expansion of PI in k 102.871 * [backup-simplify]: Simplify PI into PI 102.871 * [backup-simplify]: Simplify (log PI) into (log PI) 102.871 * [backup-simplify]: Simplify (+ 1 0) into 1 102.871 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.872 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 102.872 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 102.872 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 102.872 * [taylor]: Taking taylor expansion of (/ -1 k) in k 102.872 * [taylor]: Taking taylor expansion of -1 in k 102.872 * [backup-simplify]: Simplify -1 into -1 102.872 * [taylor]: Taking taylor expansion of k in k 102.872 * [backup-simplify]: Simplify 0 into 0 102.872 * [backup-simplify]: Simplify 1 into 1 102.873 * [backup-simplify]: Simplify (/ -1 1) into -1 102.873 * [backup-simplify]: Simplify (sqrt 0) into 0 102.874 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 102.874 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 102.875 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) 102.876 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) 102.876 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in n 102.876 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in n 102.876 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 102.876 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 102.876 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 102.876 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.876 * [taylor]: Taking taylor expansion of 1/2 in n 102.876 * [backup-simplify]: Simplify 1/2 into 1/2 102.876 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.876 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.876 * [taylor]: Taking taylor expansion of k in n 102.876 * [backup-simplify]: Simplify k into k 102.876 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.876 * [taylor]: Taking taylor expansion of 1 in n 102.876 * [backup-simplify]: Simplify 1 into 1 102.876 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 102.876 * [taylor]: Taking taylor expansion of (/ -1 n) in n 102.876 * [taylor]: Taking taylor expansion of -1 in n 102.876 * [backup-simplify]: Simplify -1 into -1 102.876 * [taylor]: Taking taylor expansion of n in n 102.876 * [backup-simplify]: Simplify 0 into 0 102.876 * [backup-simplify]: Simplify 1 into 1 102.876 * [backup-simplify]: Simplify (/ -1 1) into -1 102.877 * [backup-simplify]: Simplify (log -1) into (log -1) 102.877 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.877 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.877 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 102.878 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 102.878 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 102.878 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in n 102.878 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in n 102.878 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in n 102.878 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in n 102.878 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.878 * [taylor]: Taking taylor expansion of 1/2 in n 102.878 * [backup-simplify]: Simplify 1/2 into 1/2 102.878 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.878 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.878 * [taylor]: Taking taylor expansion of k in n 102.878 * [backup-simplify]: Simplify k into k 102.878 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.878 * [taylor]: Taking taylor expansion of 1 in n 102.878 * [backup-simplify]: Simplify 1 into 1 102.878 * [taylor]: Taking taylor expansion of (log 2) in n 102.878 * [taylor]: Taking taylor expansion of 2 in n 102.878 * [backup-simplify]: Simplify 2 into 2 102.879 * [backup-simplify]: Simplify (log 2) into (log 2) 102.879 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.879 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.879 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) into (* 1/2 (* (log 2) (+ (/ 1 k) 1))) 102.879 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 102.879 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in n 102.879 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in n 102.879 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in n 102.879 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.879 * [taylor]: Taking taylor expansion of 1/2 in n 102.879 * [backup-simplify]: Simplify 1/2 into 1/2 102.879 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.879 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.879 * [taylor]: Taking taylor expansion of k in n 102.879 * [backup-simplify]: Simplify k into k 102.879 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.880 * [taylor]: Taking taylor expansion of 1 in n 102.880 * [backup-simplify]: Simplify 1 into 1 102.880 * [taylor]: Taking taylor expansion of (log PI) in n 102.880 * [taylor]: Taking taylor expansion of PI in n 102.880 * [backup-simplify]: Simplify PI into PI 102.880 * [backup-simplify]: Simplify (log PI) into (log PI) 102.880 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.880 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.880 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 102.881 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 102.881 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 102.881 * [taylor]: Taking taylor expansion of (/ -1 k) in n 102.881 * [taylor]: Taking taylor expansion of -1 in n 102.881 * [backup-simplify]: Simplify -1 into -1 102.881 * [taylor]: Taking taylor expansion of k in n 102.881 * [backup-simplify]: Simplify k into k 102.881 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 102.881 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 102.881 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 102.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 102.881 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 102.882 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 102.884 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) 102.884 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in n 102.884 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in n 102.884 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 102.884 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 102.885 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 102.885 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.885 * [taylor]: Taking taylor expansion of 1/2 in n 102.885 * [backup-simplify]: Simplify 1/2 into 1/2 102.885 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.885 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.885 * [taylor]: Taking taylor expansion of k in n 102.885 * [backup-simplify]: Simplify k into k 102.885 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.885 * [taylor]: Taking taylor expansion of 1 in n 102.885 * [backup-simplify]: Simplify 1 into 1 102.885 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 102.885 * [taylor]: Taking taylor expansion of (/ -1 n) in n 102.885 * [taylor]: Taking taylor expansion of -1 in n 102.885 * [backup-simplify]: Simplify -1 into -1 102.885 * [taylor]: Taking taylor expansion of n in n 102.885 * [backup-simplify]: Simplify 0 into 0 102.885 * [backup-simplify]: Simplify 1 into 1 102.885 * [backup-simplify]: Simplify (/ -1 1) into -1 102.886 * [backup-simplify]: Simplify (log -1) into (log -1) 102.886 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.886 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.887 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 102.887 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 102.888 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 102.888 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in n 102.888 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in n 102.888 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in n 102.888 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in n 102.888 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.888 * [taylor]: Taking taylor expansion of 1/2 in n 102.888 * [backup-simplify]: Simplify 1/2 into 1/2 102.888 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.888 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.888 * [taylor]: Taking taylor expansion of k in n 102.888 * [backup-simplify]: Simplify k into k 102.888 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.888 * [taylor]: Taking taylor expansion of 1 in n 102.888 * [backup-simplify]: Simplify 1 into 1 102.888 * [taylor]: Taking taylor expansion of (log 2) in n 102.888 * [taylor]: Taking taylor expansion of 2 in n 102.888 * [backup-simplify]: Simplify 2 into 2 102.888 * [backup-simplify]: Simplify (log 2) into (log 2) 102.888 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.888 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.889 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) into (* 1/2 (* (log 2) (+ (/ 1 k) 1))) 102.889 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 102.889 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in n 102.889 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in n 102.889 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in n 102.889 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.889 * [taylor]: Taking taylor expansion of 1/2 in n 102.889 * [backup-simplify]: Simplify 1/2 into 1/2 102.889 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.889 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.889 * [taylor]: Taking taylor expansion of k in n 102.889 * [backup-simplify]: Simplify k into k 102.889 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.889 * [taylor]: Taking taylor expansion of 1 in n 102.889 * [backup-simplify]: Simplify 1 into 1 102.889 * [taylor]: Taking taylor expansion of (log PI) in n 102.889 * [taylor]: Taking taylor expansion of PI in n 102.889 * [backup-simplify]: Simplify PI into PI 102.889 * [backup-simplify]: Simplify (log PI) into (log PI) 102.889 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.889 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.890 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 102.890 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 102.890 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 102.890 * [taylor]: Taking taylor expansion of (/ -1 k) in n 102.890 * [taylor]: Taking taylor expansion of -1 in n 102.890 * [backup-simplify]: Simplify -1 into -1 102.890 * [taylor]: Taking taylor expansion of k in n 102.890 * [backup-simplify]: Simplify k into k 102.890 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 102.890 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 102.890 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 102.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 102.891 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 102.892 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 102.893 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) 102.893 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) in k 102.893 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) in k 102.893 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in k 102.893 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in k 102.893 * [taylor]: Taking taylor expansion of 1/2 in k 102.893 * [backup-simplify]: Simplify 1/2 into 1/2 102.893 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in k 102.893 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.893 * [taylor]: Taking taylor expansion of k in k 102.893 * [backup-simplify]: Simplify 0 into 0 102.893 * [backup-simplify]: Simplify 1 into 1 102.893 * [backup-simplify]: Simplify (/ 1 1) into 1 102.894 * [taylor]: Taking taylor expansion of 1 in k 102.894 * [backup-simplify]: Simplify 1 into 1 102.894 * [taylor]: Taking taylor expansion of (log PI) in k 102.894 * [taylor]: Taking taylor expansion of PI in k 102.894 * [backup-simplify]: Simplify PI into PI 102.896 * [backup-simplify]: Simplify (log PI) into (log PI) 102.896 * [backup-simplify]: Simplify (+ 1 0) into 1 102.897 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 102.897 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 102.898 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 102.898 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) in k 102.898 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) in k 102.898 * [taylor]: Taking taylor expansion of (* 1/2 (* (log 2) (+ (/ 1 k) 1))) in k 102.898 * [taylor]: Taking taylor expansion of 1/2 in k 102.898 * [backup-simplify]: Simplify 1/2 into 1/2 102.898 * [taylor]: Taking taylor expansion of (* (log 2) (+ (/ 1 k) 1)) in k 102.898 * [taylor]: Taking taylor expansion of (log 2) in k 102.898 * [taylor]: Taking taylor expansion of 2 in k 102.898 * [backup-simplify]: Simplify 2 into 2 102.898 * [backup-simplify]: Simplify (log 2) into (log 2) 102.898 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.898 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.898 * [taylor]: Taking taylor expansion of k in k 102.898 * [backup-simplify]: Simplify 0 into 0 102.898 * [backup-simplify]: Simplify 1 into 1 102.899 * [backup-simplify]: Simplify (/ 1 1) into 1 102.899 * [taylor]: Taking taylor expansion of 1 in k 102.899 * [backup-simplify]: Simplify 1 into 1 102.899 * [backup-simplify]: Simplify (+ 1 0) into 1 102.899 * [backup-simplify]: Simplify (* (log 2) 1) into (log 2) 102.900 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 102.900 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 102.900 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 102.900 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 102.900 * [taylor]: Taking taylor expansion of 1/2 in k 102.900 * [backup-simplify]: Simplify 1/2 into 1/2 102.900 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 102.900 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.900 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.900 * [taylor]: Taking taylor expansion of k in k 102.900 * [backup-simplify]: Simplify 0 into 0 102.900 * [backup-simplify]: Simplify 1 into 1 102.901 * [backup-simplify]: Simplify (/ 1 1) into 1 102.901 * [taylor]: Taking taylor expansion of 1 in k 102.901 * [backup-simplify]: Simplify 1 into 1 102.901 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 102.901 * [taylor]: Taking taylor expansion of (log -1) in k 102.901 * [taylor]: Taking taylor expansion of -1 in k 102.901 * [backup-simplify]: Simplify -1 into -1 102.901 * [backup-simplify]: Simplify (log -1) into (log -1) 102.901 * [taylor]: Taking taylor expansion of (log n) in k 102.901 * [taylor]: Taking taylor expansion of n in k 102.901 * [backup-simplify]: Simplify n into n 102.901 * [backup-simplify]: Simplify (log n) into (log n) 102.901 * [backup-simplify]: Simplify (+ 1 0) into 1 102.901 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 102.902 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 102.902 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 102.902 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 102.902 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 102.903 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 102.903 * [taylor]: Taking taylor expansion of (/ -1 k) in k 102.903 * [taylor]: Taking taylor expansion of -1 in k 102.903 * [backup-simplify]: Simplify -1 into -1 102.903 * [taylor]: Taking taylor expansion of k in k 102.903 * [backup-simplify]: Simplify 0 into 0 102.903 * [backup-simplify]: Simplify 1 into 1 102.903 * [backup-simplify]: Simplify (/ -1 1) into -1 102.903 * [backup-simplify]: Simplify (sqrt 0) into 0 102.904 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 102.905 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) into (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 102.906 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 102.907 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 102.908 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 102.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 102.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.909 * [backup-simplify]: Simplify (+ 0 0) into 0 102.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 102.909 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log PI))) into 0 102.910 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 102.911 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 102.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.911 * [backup-simplify]: Simplify (+ 0 0) into 0 102.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 102.912 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log 2))) into 0 102.913 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 102.914 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))) into 0 102.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 102.915 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 102.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.915 * [backup-simplify]: Simplify (+ 0 0) into 0 102.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 102.916 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 102.917 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 102.917 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 102.918 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) into 0 102.919 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 102.919 * [taylor]: Taking taylor expansion of 0 in k 102.920 * [backup-simplify]: Simplify 0 into 0 102.920 * [backup-simplify]: Simplify 0 into 0 102.920 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into 0 102.921 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 102.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 102.924 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.927 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 102.928 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 102.931 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 102.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.932 * [backup-simplify]: Simplify (+ 0 0) into 0 102.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 102.934 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 102.935 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.937 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 102.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.937 * [backup-simplify]: Simplify (+ 0 0) into 0 102.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 102.938 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 102.939 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.940 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))))) into 0 102.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 102.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.942 * [backup-simplify]: Simplify (+ 0 0) into 0 102.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 102.943 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 102.944 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 102.945 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.946 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) into 0 102.946 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.947 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 102.948 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 102.948 * [taylor]: Taking taylor expansion of 0 in k 102.948 * [backup-simplify]: Simplify 0 into 0 102.948 * [backup-simplify]: Simplify 0 into 0 102.948 * [backup-simplify]: Simplify 0 into 0 102.949 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 102.950 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) into 0 102.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 102.955 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 102.956 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 102.961 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2)))))))) 102.962 * * * [progress]: simplifying candidates 102.962 * * * * [progress]: [ 1 / 295 ] simplifiying candidate # 102.962 * * * * [progress]: [ 2 / 295 ] simplifiying candidate # 102.962 * * * * [progress]: [ 3 / 295 ] simplifiying candidate # 102.962 * [simplify]: Simplifying (* (log n) (/ (- 1 k) 2)) 102.962 * * [simplify]: iters left: 6 (8 enodes) 102.967 * * [simplify]: iters left: 5 (35 enodes) 102.977 * * [simplify]: iters left: 4 (56 enodes) 102.990 * * [simplify]: iters left: 3 (72 enodes) 103.015 * * [simplify]: iters left: 2 (129 enodes) 103.040 * * [simplify]: iters left: 1 (172 enodes) 103.072 * * [simplify]: Extracting #0: cost 1 inf + 0 103.072 * * [simplify]: Extracting #1: cost 17 inf + 0 103.072 * * [simplify]: Extracting #2: cost 42 inf + 3 103.073 * * [simplify]: Extracting #3: cost 29 inf + 1337 103.074 * * [simplify]: Extracting #4: cost 4 inf + 4499 103.075 * * [simplify]: Extracting #5: cost 0 inf + 5037 103.078 * * [simplify]: Extracting #6: cost 0 inf + 5034 103.080 * [simplify]: Simplified to (* 1/2 (- (log n) (* k (log n)))) 103.080 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* 1/2 (- (log n) (* k (log n))))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.080 * * * * [progress]: [ 4 / 295 ] simplifiying candidate # 103.080 * * * * [progress]: [ 5 / 295 ] simplifiying candidate # 103.080 * * * * [progress]: [ 6 / 295 ] simplifiying candidate # 103.081 * [simplify]: Simplifying (pow n (/ k 2)) 103.081 * * [simplify]: iters left: 3 (5 enodes) 103.082 * * [simplify]: iters left: 2 (18 enodes) 103.086 * * [simplify]: iters left: 1 (30 enodes) 103.091 * * [simplify]: Extracting #0: cost 1 inf + 0 103.091 * * [simplify]: Extracting #1: cost 10 inf + 0 103.091 * * [simplify]: Extracting #2: cost 23 inf + 1 103.091 * * [simplify]: Extracting #3: cost 23 inf + 46 103.092 * * [simplify]: Extracting #4: cost 11 inf + 1346 103.092 * * [simplify]: Extracting #5: cost 1 inf + 3938 103.092 * * [simplify]: Extracting #6: cost 0 inf + 4111 103.093 * * [simplify]: Extracting #7: cost 0 inf + 4070 103.093 * [simplify]: Simplified to (pow n (/ k 2)) 103.093 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.094 * * * * [progress]: [ 7 / 295 ] simplifiying candidate # 103.094 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 103.094 * * [simplify]: iters left: 5 (6 enodes) 103.096 * * [simplify]: iters left: 4 (26 enodes) 103.101 * * [simplify]: iters left: 3 (35 enodes) 103.109 * * [simplify]: Extracting #0: cost 1 inf + 0 103.109 * * [simplify]: Extracting #1: cost 3 inf + 0 103.109 * * [simplify]: Extracting #2: cost 8 inf + 0 103.109 * * [simplify]: Extracting #3: cost 11 inf + 2 103.109 * * [simplify]: Extracting #4: cost 8 inf + 87 103.109 * * [simplify]: Extracting #5: cost 2 inf + 500 103.109 * * [simplify]: Extracting #6: cost 0 inf + 746 103.109 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 103.109 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.109 * * * * [progress]: [ 8 / 295 ] simplifiying candidate # 103.110 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 103.110 * * [simplify]: iters left: 5 (6 enodes) 103.112 * * [simplify]: iters left: 4 (26 enodes) 103.117 * * [simplify]: iters left: 3 (35 enodes) 103.123 * * [simplify]: Extracting #0: cost 1 inf + 0 103.123 * * [simplify]: Extracting #1: cost 3 inf + 0 103.123 * * [simplify]: Extracting #2: cost 8 inf + 0 103.123 * * [simplify]: Extracting #3: cost 11 inf + 2 103.123 * * [simplify]: Extracting #4: cost 8 inf + 87 103.123 * * [simplify]: Extracting #5: cost 2 inf + 460 103.123 * * [simplify]: Extracting #6: cost 0 inf + 666 103.124 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 103.124 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.124 * * * * [progress]: [ 9 / 295 ] simplifiying candidate # 103.124 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 103.124 * * [simplify]: iters left: 5 (7 enodes) 103.126 * * [simplify]: iters left: 4 (25 enodes) 103.131 * * [simplify]: iters left: 3 (30 enodes) 103.136 * * [simplify]: Extracting #0: cost 1 inf + 0 103.136 * * [simplify]: Extracting #1: cost 4 inf + 0 103.136 * * [simplify]: Extracting #2: cost 8 inf + 0 103.136 * * [simplify]: Extracting #3: cost 10 inf + 82 103.136 * * [simplify]: Extracting #4: cost 7 inf + 206 103.136 * * [simplify]: Extracting #5: cost 2 inf + 575 103.137 * * [simplify]: Extracting #6: cost 1 inf + 818 103.137 * * [simplify]: Extracting #7: cost 0 inf + 1061 103.137 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 103.137 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.138 * * * * [progress]: [ 10 / 295 ] simplifiying candidate # 103.138 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 103.138 * * [simplify]: iters left: 5 (7 enodes) 103.142 * * [simplify]: iters left: 4 (25 enodes) 103.149 * * [simplify]: iters left: 3 (30 enodes) 103.154 * * [simplify]: Extracting #0: cost 1 inf + 0 103.154 * * [simplify]: Extracting #1: cost 4 inf + 0 103.154 * * [simplify]: Extracting #2: cost 8 inf + 0 103.154 * * [simplify]: Extracting #3: cost 10 inf + 42 103.154 * * [simplify]: Extracting #4: cost 7 inf + 126 103.154 * * [simplify]: Extracting #5: cost 2 inf + 495 103.154 * * [simplify]: Extracting #6: cost 1 inf + 698 103.154 * * [simplify]: Extracting #7: cost 0 inf + 901 103.154 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 103.155 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.155 * * * * [progress]: [ 11 / 295 ] simplifiying candidate # 103.155 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 103.155 * * [simplify]: iters left: 5 (6 enodes) 103.157 * * [simplify]: iters left: 4 (22 enodes) 103.161 * * [simplify]: iters left: 3 (27 enodes) 103.165 * * [simplify]: Extracting #0: cost 1 inf + 0 103.165 * * [simplify]: Extracting #1: cost 4 inf + 0 103.165 * * [simplify]: Extracting #2: cost 5 inf + 1 103.165 * * [simplify]: Extracting #3: cost 9 inf + 1 103.165 * * [simplify]: Extracting #4: cost 8 inf + 3 103.165 * * [simplify]: Extracting #5: cost 4 inf + 169 103.165 * * [simplify]: Extracting #6: cost 1 inf + 576 103.166 * * [simplify]: Extracting #7: cost 0 inf + 739 103.166 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 103.166 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.166 * * * * [progress]: [ 12 / 295 ] simplifiying candidate # 103.166 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 103.166 * * [simplify]: iters left: 5 (7 enodes) 103.169 * * [simplify]: iters left: 4 (25 enodes) 103.175 * * [simplify]: iters left: 3 (30 enodes) 103.180 * * [simplify]: Extracting #0: cost 1 inf + 0 103.180 * * [simplify]: Extracting #1: cost 4 inf + 0 103.180 * * [simplify]: Extracting #2: cost 8 inf + 0 103.180 * * [simplify]: Extracting #3: cost 10 inf + 82 103.180 * * [simplify]: Extracting #4: cost 7 inf + 206 103.180 * * [simplify]: Extracting #5: cost 2 inf + 495 103.180 * * [simplify]: Extracting #6: cost 1 inf + 698 103.181 * * [simplify]: Extracting #7: cost 0 inf + 901 103.181 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 103.181 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.181 * * * * [progress]: [ 13 / 295 ] simplifiying candidate # 103.181 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 103.181 * * [simplify]: iters left: 5 (7 enodes) 103.184 * * [simplify]: iters left: 4 (25 enodes) 103.192 * * [simplify]: iters left: 3 (30 enodes) 103.201 * * [simplify]: Extracting #0: cost 1 inf + 0 103.201 * * [simplify]: Extracting #1: cost 4 inf + 0 103.201 * * [simplify]: Extracting #2: cost 8 inf + 0 103.201 * * [simplify]: Extracting #3: cost 10 inf + 42 103.201 * * [simplify]: Extracting #4: cost 7 inf + 126 103.202 * * [simplify]: Extracting #5: cost 2 inf + 415 103.202 * * [simplify]: Extracting #6: cost 1 inf + 578 103.202 * * [simplify]: Extracting #7: cost 0 inf + 741 103.203 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 103.203 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.203 * * * * [progress]: [ 14 / 295 ] simplifiying candidate # 103.203 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 103.203 * * [simplify]: iters left: 5 (6 enodes) 103.207 * * [simplify]: iters left: 4 (22 enodes) 103.215 * * [simplify]: iters left: 3 (27 enodes) 103.222 * * [simplify]: Extracting #0: cost 1 inf + 0 103.222 * * [simplify]: Extracting #1: cost 4 inf + 0 103.222 * * [simplify]: Extracting #2: cost 5 inf + 1 103.222 * * [simplify]: Extracting #3: cost 9 inf + 1 103.222 * * [simplify]: Extracting #4: cost 8 inf + 3 103.222 * * [simplify]: Extracting #5: cost 4 inf + 169 103.222 * * [simplify]: Extracting #6: cost 1 inf + 456 103.222 * * [simplify]: Extracting #7: cost 0 inf + 579 103.222 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 103.222 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.222 * * * * [progress]: [ 15 / 295 ] simplifiying candidate # 103.223 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 103.223 * * [simplify]: iters left: 4 (6 enodes) 103.225 * * [simplify]: iters left: 3 (25 enodes) 103.230 * * [simplify]: iters left: 2 (36 enodes) 103.236 * * [simplify]: iters left: 1 (40 enodes) 103.243 * * [simplify]: Extracting #0: cost 1 inf + 0 103.243 * * [simplify]: Extracting #1: cost 7 inf + 0 103.243 * * [simplify]: Extracting #2: cost 16 inf + 0 103.243 * * [simplify]: Extracting #3: cost 13 inf + 44 103.244 * * [simplify]: Extracting #4: cost 3 inf + 1103 103.244 * * [simplify]: Extracting #5: cost 0 inf + 1469 103.244 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 103.244 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.244 * * * * [progress]: [ 16 / 295 ] simplifiying candidate # 103.245 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 103.245 * * [simplify]: iters left: 4 (6 enodes) 103.247 * * [simplify]: iters left: 3 (25 enodes) 103.252 * * [simplify]: iters left: 2 (36 enodes) 103.261 * * [simplify]: iters left: 1 (40 enodes) 103.272 * * [simplify]: Extracting #0: cost 1 inf + 0 103.273 * * [simplify]: Extracting #1: cost 7 inf + 0 103.273 * * [simplify]: Extracting #2: cost 16 inf + 0 103.273 * * [simplify]: Extracting #3: cost 13 inf + 44 103.273 * * [simplify]: Extracting #4: cost 3 inf + 823 103.274 * * [simplify]: Extracting #5: cost 0 inf + 1069 103.274 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 103.274 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.274 * * * * [progress]: [ 17 / 295 ] simplifiying candidate # 103.275 * [simplify]: Simplifying (/ (- 1 k) 2) 103.275 * * [simplify]: iters left: 4 (5 enodes) 103.278 * * [simplify]: iters left: 3 (23 enodes) 103.286 * * [simplify]: iters left: 2 (32 enodes) 103.297 * * [simplify]: Extracting #0: cost 1 inf + 0 103.297 * * [simplify]: Extracting #1: cost 6 inf + 0 103.297 * * [simplify]: Extracting #2: cost 9 inf + 2 103.297 * * [simplify]: Extracting #3: cost 6 inf + 87 103.297 * * [simplify]: Extracting #4: cost 0 inf + 420 103.298 * [simplify]: Simplified to (/ (- 1 k) 2) 103.298 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.298 * * * * [progress]: [ 18 / 295 ] simplifiying candidate # 103.298 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 103.298 * * [simplify]: iters left: 5 (8 enodes) 103.303 * * [simplify]: iters left: 4 (31 enodes) 103.312 * * [simplify]: iters left: 3 (45 enodes) 103.325 * * [simplify]: iters left: 2 (51 enodes) 103.340 * * [simplify]: iters left: 1 (52 enodes) 103.348 * * [simplify]: Extracting #0: cost 1 inf + 0 103.348 * * [simplify]: Extracting #1: cost 8 inf + 0 103.349 * * [simplify]: Extracting #2: cost 18 inf + 0 103.349 * * [simplify]: Extracting #3: cost 19 inf + 2 103.349 * * [simplify]: Extracting #4: cost 9 inf + 977 103.349 * * [simplify]: Extracting #5: cost 2 inf + 1790 103.349 * * [simplify]: Extracting #6: cost 0 inf + 2195 103.350 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 103.350 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.350 * * * * [progress]: [ 19 / 295 ] simplifiying candidate # 103.350 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 103.350 * * [simplify]: iters left: 5 (8 enodes) 103.353 * * [simplify]: iters left: 4 (31 enodes) 103.358 * * [simplify]: iters left: 3 (45 enodes) 103.365 * * [simplify]: iters left: 2 (51 enodes) 103.372 * * [simplify]: iters left: 1 (52 enodes) 103.384 * * [simplify]: Extracting #0: cost 1 inf + 0 103.384 * * [simplify]: Extracting #1: cost 8 inf + 0 103.384 * * [simplify]: Extracting #2: cost 18 inf + 0 103.384 * * [simplify]: Extracting #3: cost 19 inf + 2 103.384 * * [simplify]: Extracting #4: cost 9 inf + 697 103.385 * * [simplify]: Extracting #5: cost 2 inf + 1390 103.386 * * [simplify]: Extracting #6: cost 0 inf + 1715 103.387 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 103.387 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.387 * * * * [progress]: [ 20 / 295 ] simplifiying candidate # 103.387 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 103.387 * * [simplify]: iters left: 5 (7 enodes) 103.392 * * [simplify]: iters left: 4 (29 enodes) 103.402 * * [simplify]: iters left: 3 (43 enodes) 103.414 * * [simplify]: iters left: 2 (47 enodes) 103.429 * * [simplify]: Extracting #0: cost 1 inf + 0 103.429 * * [simplify]: Extracting #1: cost 7 inf + 0 103.429 * * [simplify]: Extracting #2: cost 11 inf + 2 103.429 * * [simplify]: Extracting #3: cost 13 inf + 3 103.429 * * [simplify]: Extracting #4: cost 11 inf + 45 103.429 * * [simplify]: Extracting #5: cost 0 inf + 1066 103.430 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 103.430 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.430 * * * * [progress]: [ 21 / 295 ] simplifiying candidate # 103.431 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 103.431 * * [simplify]: iters left: 5 (7 enodes) 103.435 * * [simplify]: iters left: 4 (28 enodes) 103.445 * * [simplify]: iters left: 3 (39 enodes) 103.457 * * [simplify]: iters left: 2 (43 enodes) 103.470 * * [simplify]: Extracting #0: cost 1 inf + 0 103.470 * * [simplify]: Extracting #1: cost 7 inf + 0 103.470 * * [simplify]: Extracting #2: cost 16 inf + 0 103.470 * * [simplify]: Extracting #3: cost 15 inf + 164 103.470 * * [simplify]: Extracting #4: cost 13 inf + 287 103.470 * * [simplify]: Extracting #5: cost 5 inf + 1180 103.471 * * [simplify]: Extracting #6: cost 0 inf + 1951 103.472 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 103.472 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.472 * * * * [progress]: [ 22 / 295 ] simplifiying candidate # 103.472 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 103.473 * * [simplify]: iters left: 5 (7 enodes) 103.477 * * [simplify]: iters left: 4 (28 enodes) 103.486 * * [simplify]: iters left: 3 (39 enodes) 103.498 * * [simplify]: iters left: 2 (43 enodes) 103.510 * * [simplify]: Extracting #0: cost 1 inf + 0 103.510 * * [simplify]: Extracting #1: cost 7 inf + 0 103.510 * * [simplify]: Extracting #2: cost 16 inf + 0 103.511 * * [simplify]: Extracting #3: cost 15 inf + 84 103.511 * * [simplify]: Extracting #4: cost 13 inf + 167 103.511 * * [simplify]: Extracting #5: cost 5 inf + 900 103.512 * * [simplify]: Extracting #6: cost 0 inf + 1551 103.512 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 103.512 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.512 * * * * [progress]: [ 23 / 295 ] simplifiying candidate # 103.513 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 103.513 * * [simplify]: iters left: 5 (6 enodes) 103.517 * * [simplify]: iters left: 4 (26 enodes) 103.526 * * [simplify]: iters left: 3 (35 enodes) 103.536 * * [simplify]: Extracting #0: cost 1 inf + 0 103.536 * * [simplify]: Extracting #1: cost 6 inf + 0 103.536 * * [simplify]: Extracting #2: cost 9 inf + 2 103.536 * * [simplify]: Extracting #3: cost 11 inf + 3 103.537 * * [simplify]: Extracting #4: cost 10 inf + 4 103.537 * * [simplify]: Extracting #5: cost 3 inf + 535 103.537 * * [simplify]: Extracting #6: cost 0 inf + 822 103.538 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 103.538 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.538 * * * * [progress]: [ 24 / 295 ] simplifiying candidate # 103.538 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 103.538 * * [simplify]: iters left: 4 (6 enodes) 103.542 * * [simplify]: iters left: 3 (25 enodes) 103.551 * * [simplify]: iters left: 2 (36 enodes) 103.562 * * [simplify]: iters left: 1 (40 enodes) 103.573 * * [simplify]: Extracting #0: cost 1 inf + 0 103.573 * * [simplify]: Extracting #1: cost 7 inf + 0 103.573 * * [simplify]: Extracting #2: cost 16 inf + 0 103.574 * * [simplify]: Extracting #3: cost 13 inf + 44 103.574 * * [simplify]: Extracting #4: cost 3 inf + 1103 103.574 * * [simplify]: Extracting #5: cost 0 inf + 1469 103.575 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 103.575 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.575 * * * * [progress]: [ 25 / 295 ] simplifiying candidate # 103.576 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 103.576 * * [simplify]: iters left: 4 (6 enodes) 103.582 * * [simplify]: iters left: 3 (25 enodes) 103.590 * * [simplify]: iters left: 2 (36 enodes) 103.600 * * [simplify]: iters left: 1 (40 enodes) 103.611 * * [simplify]: Extracting #0: cost 1 inf + 0 103.611 * * [simplify]: Extracting #1: cost 7 inf + 0 103.611 * * [simplify]: Extracting #2: cost 16 inf + 0 103.611 * * [simplify]: Extracting #3: cost 13 inf + 44 103.611 * * [simplify]: Extracting #4: cost 3 inf + 823 103.612 * * [simplify]: Extracting #5: cost 0 inf + 1069 103.612 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 103.612 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.612 * * * * [progress]: [ 26 / 295 ] simplifiying candidate # 103.613 * [simplify]: Simplifying (/ (- 1 k) 2) 103.613 * * [simplify]: iters left: 4 (5 enodes) 103.616 * * [simplify]: iters left: 3 (23 enodes) 103.623 * * [simplify]: iters left: 2 (32 enodes) 103.632 * * [simplify]: Extracting #0: cost 1 inf + 0 103.632 * * [simplify]: Extracting #1: cost 6 inf + 0 103.632 * * [simplify]: Extracting #2: cost 9 inf + 2 103.632 * * [simplify]: Extracting #3: cost 6 inf + 87 103.632 * * [simplify]: Extracting #4: cost 0 inf + 420 103.632 * [simplify]: Simplified to (/ (- 1 k) 2) 103.632 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.632 * * * * [progress]: [ 27 / 295 ] simplifiying candidate # 103.633 * [simplify]: Simplifying (/ (- 1 k) 2) 103.633 * * [simplify]: iters left: 4 (5 enodes) 103.636 * * [simplify]: iters left: 3 (23 enodes) 103.643 * * [simplify]: iters left: 2 (32 enodes) 103.652 * * [simplify]: Extracting #0: cost 1 inf + 0 103.652 * * [simplify]: Extracting #1: cost 6 inf + 0 103.652 * * [simplify]: Extracting #2: cost 9 inf + 2 103.652 * * [simplify]: Extracting #3: cost 6 inf + 87 103.652 * * [simplify]: Extracting #4: cost 0 inf + 420 103.652 * [simplify]: Simplified to (/ (- 1 k) 2) 103.653 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n 1) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.653 * * * * [progress]: [ 28 / 295 ] simplifiying candidate # 103.653 * [simplify]: Simplifying (/ 1 2) 103.653 * * [simplify]: iters left: 2 (3 enodes) 103.656 * * [simplify]: iters left: 1 (12 enodes) 103.660 * * [simplify]: Extracting #0: cost 1 inf + 0 103.660 * * [simplify]: Extracting #1: cost 0 inf + 1 103.660 * [simplify]: Simplified to 1/2 103.660 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (- 1 k)) 1/2) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.660 * * * * [progress]: [ 29 / 295 ] simplifiying candidate # 103.660 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 103.660 * * [simplify]: iters left: 5 (9 enodes) 103.665 * * [simplify]: iters left: 4 (38 enodes) 103.677 * * [simplify]: iters left: 3 (63 enodes) 103.697 * * [simplify]: iters left: 2 (98 enodes) 103.725 * * [simplify]: iters left: 1 (167 enodes) 103.765 * * [simplify]: Extracting #0: cost 1 inf + 0 103.765 * * [simplify]: Extracting #1: cost 13 inf + 0 103.766 * * [simplify]: Extracting #2: cost 54 inf + 1 103.766 * * [simplify]: Extracting #3: cost 87 inf + 5 103.766 * * [simplify]: Extracting #4: cost 68 inf + 1334 103.767 * * [simplify]: Extracting #5: cost 40 inf + 5047 103.770 * * [simplify]: Extracting #6: cost 11 inf + 17686 103.773 * * [simplify]: Extracting #7: cost 0 inf + 25802 103.777 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 103.777 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow (cbrt n) (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.777 * * * * [progress]: [ 30 / 295 ] simplifiying candidate # 103.778 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 103.778 * * [simplify]: iters left: 5 (8 enodes) 103.780 * * [simplify]: iters left: 4 (35 enodes) 103.787 * * [simplify]: iters left: 3 (56 enodes) 103.797 * * [simplify]: iters left: 2 (89 enodes) 103.831 * * [simplify]: iters left: 1 (175 enodes) 103.874 * * [simplify]: Extracting #0: cost 1 inf + 0 103.874 * * [simplify]: Extracting #1: cost 13 inf + 0 103.874 * * [simplify]: Extracting #2: cost 53 inf + 1 103.874 * * [simplify]: Extracting #3: cost 83 inf + 47 103.875 * * [simplify]: Extracting #4: cost 60 inf + 2914 103.877 * * [simplify]: Extracting #5: cost 14 inf + 15118 103.881 * * [simplify]: Extracting #6: cost 1 inf + 21571 103.886 * * [simplify]: Extracting #7: cost 0 inf + 21783 103.889 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 103.889 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.889 * * * * [progress]: [ 31 / 295 ] simplifiying candidate # 103.890 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 103.890 * * [simplify]: iters left: 5 (6 enodes) 103.892 * * [simplify]: iters left: 4 (24 enodes) 103.896 * * [simplify]: iters left: 3 (33 enodes) 103.901 * * [simplify]: Extracting #0: cost 1 inf + 0 103.901 * * [simplify]: Extracting #1: cost 0 inf + 1 103.901 * [simplify]: Simplified to 1 103.901 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.902 * * * * [progress]: [ 32 / 295 ] simplifiying candidate # 103.902 * * * * [progress]: [ 33 / 295 ] simplifiying candidate # 103.902 * * * * [progress]: [ 34 / 295 ] simplifiying candidate # 103.902 * * * * [progress]: [ 35 / 295 ] simplifiying candidate # 103.902 * * * * [progress]: [ 36 / 295 ] simplifiying candidate # 103.902 * * * * [progress]: [ 37 / 295 ] simplifiying candidate # 103.902 * * * * [progress]: [ 38 / 295 ] simplifiying candidate # 103.902 * * * * [progress]: [ 39 / 295 ] simplifiying candidate # 103.902 * * * * [progress]: [ 40 / 295 ] simplifiying candidate #real (real->posit16 (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))> 103.902 * * * * [progress]: [ 41 / 295 ] simplifiying candidate # 103.902 * * * * [progress]: [ 42 / 295 ] simplifiying candidate # 103.902 * * * * [progress]: [ 43 / 295 ] simplifiying candidate # 103.902 * [simplify]: Simplifying (* (log PI) (/ (- 1 k) 2)) 103.902 * * [simplify]: iters left: 6 (8 enodes) 103.905 * * [simplify]: iters left: 5 (35 enodes) 103.913 * * [simplify]: iters left: 4 (56 enodes) 103.922 * * [simplify]: iters left: 3 (72 enodes) 103.935 * * [simplify]: iters left: 2 (129 enodes) 103.968 * * [simplify]: iters left: 1 (172 enodes) 104.021 * * [simplify]: Extracting #0: cost 1 inf + 0 104.021 * * [simplify]: Extracting #1: cost 17 inf + 0 104.021 * * [simplify]: Extracting #2: cost 42 inf + 3 104.021 * * [simplify]: Extracting #3: cost 29 inf + 1337 104.022 * * [simplify]: Extracting #4: cost 4 inf + 4499 104.024 * * [simplify]: Extracting #5: cost 0 inf + 5037 104.025 * * [simplify]: Extracting #6: cost 0 inf + 5034 104.027 * [simplify]: Simplified to (* 1/2 (- (log PI) (* k (log PI)))) 104.027 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (exp (* 1/2 (- (log PI) (* k (log PI))))))))) 104.027 * * * * [progress]: [ 44 / 295 ] simplifiying candidate # 104.027 * * * * [progress]: [ 45 / 295 ] simplifiying candidate # 104.027 * * * * [progress]: [ 46 / 295 ] simplifiying candidate # 104.027 * [simplify]: Simplifying (pow PI (/ k 2)) 104.027 * * [simplify]: iters left: 3 (5 enodes) 104.029 * * [simplify]: iters left: 2 (18 enodes) 104.032 * * [simplify]: iters left: 1 (30 enodes) 104.038 * * [simplify]: Extracting #0: cost 1 inf + 0 104.038 * * [simplify]: Extracting #1: cost 10 inf + 0 104.038 * * [simplify]: Extracting #2: cost 23 inf + 1 104.038 * * [simplify]: Extracting #3: cost 23 inf + 46 104.038 * * [simplify]: Extracting #4: cost 11 inf + 1346 104.039 * * [simplify]: Extracting #5: cost 1 inf + 3938 104.039 * * [simplify]: Extracting #6: cost 0 inf + 4111 104.040 * * [simplify]: Extracting #7: cost 0 inf + 4070 104.040 * [simplify]: Simplified to (pow PI (/ k 2)) 104.040 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (/ (pow PI (/ 1 2)) (pow PI (/ k 2))))))) 104.040 * * * * [progress]: [ 47 / 295 ] simplifiying candidate # 104.040 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 104.041 * * [simplify]: iters left: 5 (6 enodes) 104.043 * * [simplify]: iters left: 4 (26 enodes) 104.047 * * [simplify]: iters left: 3 (35 enodes) 104.052 * * [simplify]: Extracting #0: cost 1 inf + 0 104.052 * * [simplify]: Extracting #1: cost 3 inf + 0 104.052 * * [simplify]: Extracting #2: cost 8 inf + 0 104.052 * * [simplify]: Extracting #3: cost 11 inf + 2 104.052 * * [simplify]: Extracting #4: cost 8 inf + 87 104.052 * * [simplify]: Extracting #5: cost 2 inf + 500 104.053 * * [simplify]: Extracting #6: cost 0 inf + 746 104.053 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 104.053 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))) 104.053 * * * * [progress]: [ 48 / 295 ] simplifiying candidate # 104.053 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 104.053 * * [simplify]: iters left: 5 (6 enodes) 104.055 * * [simplify]: iters left: 4 (26 enodes) 104.060 * * [simplify]: iters left: 3 (35 enodes) 104.065 * * [simplify]: Extracting #0: cost 1 inf + 0 104.065 * * [simplify]: Extracting #1: cost 3 inf + 0 104.065 * * [simplify]: Extracting #2: cost 8 inf + 0 104.065 * * [simplify]: Extracting #3: cost 11 inf + 2 104.065 * * [simplify]: Extracting #4: cost 8 inf + 87 104.066 * * [simplify]: Extracting #5: cost 2 inf + 460 104.066 * * [simplify]: Extracting #6: cost 0 inf + 666 104.066 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 104.066 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))) 104.066 * * * * [progress]: [ 49 / 295 ] simplifiying candidate # 104.066 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 104.066 * * [simplify]: iters left: 5 (7 enodes) 104.068 * * [simplify]: iters left: 4 (25 enodes) 104.073 * * [simplify]: iters left: 3 (30 enodes) 104.078 * * [simplify]: Extracting #0: cost 1 inf + 0 104.078 * * [simplify]: Extracting #1: cost 4 inf + 0 104.078 * * [simplify]: Extracting #2: cost 8 inf + 0 104.078 * * [simplify]: Extracting #3: cost 10 inf + 82 104.078 * * [simplify]: Extracting #4: cost 7 inf + 206 104.078 * * [simplify]: Extracting #5: cost 2 inf + 575 104.078 * * [simplify]: Extracting #6: cost 1 inf + 818 104.079 * * [simplify]: Extracting #7: cost 0 inf + 1061 104.079 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 104.079 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))))) 104.079 * * * * [progress]: [ 50 / 295 ] simplifiying candidate # 104.079 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 104.079 * * [simplify]: iters left: 5 (7 enodes) 104.081 * * [simplify]: iters left: 4 (25 enodes) 104.088 * * [simplify]: iters left: 3 (30 enodes) 104.093 * * [simplify]: Extracting #0: cost 1 inf + 0 104.093 * * [simplify]: Extracting #1: cost 4 inf + 0 104.093 * * [simplify]: Extracting #2: cost 8 inf + 0 104.093 * * [simplify]: Extracting #3: cost 10 inf + 42 104.093 * * [simplify]: Extracting #4: cost 7 inf + 126 104.094 * * [simplify]: Extracting #5: cost 2 inf + 495 104.094 * * [simplify]: Extracting #6: cost 1 inf + 698 104.094 * * [simplify]: Extracting #7: cost 0 inf + 901 104.094 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 104.094 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))))) 104.094 * * * * [progress]: [ 51 / 295 ] simplifiying candidate # 104.095 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 104.095 * * [simplify]: iters left: 5 (6 enodes) 104.096 * * [simplify]: iters left: 4 (22 enodes) 104.100 * * [simplify]: iters left: 3 (27 enodes) 104.104 * * [simplify]: Extracting #0: cost 1 inf + 0 104.104 * * [simplify]: Extracting #1: cost 4 inf + 0 104.104 * * [simplify]: Extracting #2: cost 5 inf + 1 104.104 * * [simplify]: Extracting #3: cost 9 inf + 1 104.104 * * [simplify]: Extracting #4: cost 8 inf + 3 104.105 * * [simplify]: Extracting #5: cost 4 inf + 169 104.105 * * [simplify]: Extracting #6: cost 1 inf + 576 104.105 * * [simplify]: Extracting #7: cost 0 inf + 739 104.105 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 104.105 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))))) 104.105 * * * * [progress]: [ 52 / 295 ] simplifiying candidate # 104.105 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 104.105 * * [simplify]: iters left: 5 (7 enodes) 104.107 * * [simplify]: iters left: 4 (25 enodes) 104.112 * * [simplify]: iters left: 3 (30 enodes) 104.116 * * [simplify]: Extracting #0: cost 1 inf + 0 104.116 * * [simplify]: Extracting #1: cost 4 inf + 0 104.116 * * [simplify]: Extracting #2: cost 8 inf + 0 104.117 * * [simplify]: Extracting #3: cost 10 inf + 82 104.117 * * [simplify]: Extracting #4: cost 7 inf + 206 104.117 * * [simplify]: Extracting #5: cost 2 inf + 495 104.117 * * [simplify]: Extracting #6: cost 1 inf + 698 104.117 * * [simplify]: Extracting #7: cost 0 inf + 901 104.117 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 104.117 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))))) 104.117 * * * * [progress]: [ 53 / 295 ] simplifiying candidate # 104.118 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 104.118 * * [simplify]: iters left: 5 (7 enodes) 104.120 * * [simplify]: iters left: 4 (25 enodes) 104.124 * * [simplify]: iters left: 3 (30 enodes) 104.129 * * [simplify]: Extracting #0: cost 1 inf + 0 104.129 * * [simplify]: Extracting #1: cost 4 inf + 0 104.129 * * [simplify]: Extracting #2: cost 8 inf + 0 104.129 * * [simplify]: Extracting #3: cost 10 inf + 42 104.129 * * [simplify]: Extracting #4: cost 7 inf + 126 104.129 * * [simplify]: Extracting #5: cost 2 inf + 415 104.129 * * [simplify]: Extracting #6: cost 1 inf + 578 104.129 * * [simplify]: Extracting #7: cost 0 inf + 741 104.130 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 104.130 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))))) 104.130 * * * * [progress]: [ 54 / 295 ] simplifiying candidate # 104.130 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 104.130 * * [simplify]: iters left: 5 (6 enodes) 104.132 * * [simplify]: iters left: 4 (22 enodes) 104.136 * * [simplify]: iters left: 3 (27 enodes) 104.145 * * [simplify]: Extracting #0: cost 1 inf + 0 104.145 * * [simplify]: Extracting #1: cost 4 inf + 0 104.145 * * [simplify]: Extracting #2: cost 5 inf + 1 104.145 * * [simplify]: Extracting #3: cost 9 inf + 1 104.145 * * [simplify]: Extracting #4: cost 8 inf + 3 104.145 * * [simplify]: Extracting #5: cost 4 inf + 169 104.145 * * [simplify]: Extracting #6: cost 1 inf + 456 104.146 * * [simplify]: Extracting #7: cost 0 inf + 579 104.146 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 104.146 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))))) 104.146 * * * * [progress]: [ 55 / 295 ] simplifiying candidate # 104.146 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 104.146 * * [simplify]: iters left: 4 (6 enodes) 104.150 * * [simplify]: iters left: 3 (25 enodes) 104.159 * * [simplify]: iters left: 2 (36 enodes) 104.170 * * [simplify]: iters left: 1 (40 enodes) 104.180 * * [simplify]: Extracting #0: cost 1 inf + 0 104.180 * * [simplify]: Extracting #1: cost 7 inf + 0 104.181 * * [simplify]: Extracting #2: cost 16 inf + 0 104.181 * * [simplify]: Extracting #3: cost 13 inf + 44 104.181 * * [simplify]: Extracting #4: cost 3 inf + 1103 104.181 * * [simplify]: Extracting #5: cost 0 inf + 1469 104.181 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 104.181 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))) 104.181 * * * * [progress]: [ 56 / 295 ] simplifiying candidate # 104.182 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 104.182 * * [simplify]: iters left: 4 (6 enodes) 104.184 * * [simplify]: iters left: 3 (25 enodes) 104.192 * * [simplify]: iters left: 2 (36 enodes) 104.199 * * [simplify]: iters left: 1 (40 enodes) 104.206 * * [simplify]: Extracting #0: cost 1 inf + 0 104.206 * * [simplify]: Extracting #1: cost 7 inf + 0 104.206 * * [simplify]: Extracting #2: cost 16 inf + 0 104.206 * * [simplify]: Extracting #3: cost 13 inf + 44 104.206 * * [simplify]: Extracting #4: cost 3 inf + 823 104.206 * * [simplify]: Extracting #5: cost 0 inf + 1069 104.207 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 104.207 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))) 104.207 * * * * [progress]: [ 57 / 295 ] simplifiying candidate # 104.207 * [simplify]: Simplifying (/ (- 1 k) 2) 104.207 * * [simplify]: iters left: 4 (5 enodes) 104.209 * * [simplify]: iters left: 3 (23 enodes) 104.213 * * [simplify]: iters left: 2 (32 enodes) 104.218 * * [simplify]: Extracting #0: cost 1 inf + 0 104.218 * * [simplify]: Extracting #1: cost 6 inf + 0 104.218 * * [simplify]: Extracting #2: cost 9 inf + 2 104.218 * * [simplify]: Extracting #3: cost 6 inf + 87 104.219 * * [simplify]: Extracting #4: cost 0 inf + 420 104.219 * [simplify]: Simplified to (/ (- 1 k) 2) 104.219 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 1)) (/ (- 1 k) 2)))))) 104.219 * * * * [progress]: [ 58 / 295 ] simplifiying candidate # 104.219 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 104.219 * * [simplify]: iters left: 5 (8 enodes) 104.222 * * [simplify]: iters left: 4 (31 enodes) 104.227 * * [simplify]: iters left: 3 (45 enodes) 104.235 * * [simplify]: iters left: 2 (51 enodes) 104.248 * * [simplify]: iters left: 1 (52 enodes) 104.258 * * [simplify]: Extracting #0: cost 1 inf + 0 104.258 * * [simplify]: Extracting #1: cost 8 inf + 0 104.258 * * [simplify]: Extracting #2: cost 18 inf + 0 104.258 * * [simplify]: Extracting #3: cost 19 inf + 2 104.258 * * [simplify]: Extracting #4: cost 9 inf + 977 104.259 * * [simplify]: Extracting #5: cost 2 inf + 1790 104.259 * * [simplify]: Extracting #6: cost 0 inf + 2195 104.260 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 104.260 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))))) 104.260 * * * * [progress]: [ 59 / 295 ] simplifiying candidate # 104.260 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 104.260 * * [simplify]: iters left: 5 (8 enodes) 104.265 * * [simplify]: iters left: 4 (31 enodes) 104.274 * * [simplify]: iters left: 3 (45 enodes) 104.281 * * [simplify]: iters left: 2 (51 enodes) 104.291 * * [simplify]: iters left: 1 (52 enodes) 104.306 * * [simplify]: Extracting #0: cost 1 inf + 0 104.306 * * [simplify]: Extracting #1: cost 8 inf + 0 104.306 * * [simplify]: Extracting #2: cost 18 inf + 0 104.306 * * [simplify]: Extracting #3: cost 19 inf + 2 104.307 * * [simplify]: Extracting #4: cost 9 inf + 697 104.307 * * [simplify]: Extracting #5: cost 2 inf + 1390 104.308 * * [simplify]: Extracting #6: cost 0 inf + 1715 104.309 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 104.309 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))) 104.309 * * * * [progress]: [ 60 / 295 ] simplifiying candidate # 104.309 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 104.309 * * [simplify]: iters left: 5 (7 enodes) 104.314 * * [simplify]: iters left: 4 (29 enodes) 104.324 * * [simplify]: iters left: 3 (43 enodes) 104.335 * * [simplify]: iters left: 2 (47 enodes) 104.347 * * [simplify]: Extracting #0: cost 1 inf + 0 104.347 * * [simplify]: Extracting #1: cost 7 inf + 0 104.347 * * [simplify]: Extracting #2: cost 11 inf + 2 104.347 * * [simplify]: Extracting #3: cost 13 inf + 3 104.347 * * [simplify]: Extracting #4: cost 11 inf + 45 104.348 * * [simplify]: Extracting #5: cost 0 inf + 1066 104.348 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 104.348 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 104.348 * * * * [progress]: [ 61 / 295 ] simplifiying candidate # 104.349 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 104.349 * * [simplify]: iters left: 5 (7 enodes) 104.353 * * [simplify]: iters left: 4 (28 enodes) 104.362 * * [simplify]: iters left: 3 (39 enodes) 104.375 * * [simplify]: iters left: 2 (43 enodes) 104.387 * * [simplify]: Extracting #0: cost 1 inf + 0 104.387 * * [simplify]: Extracting #1: cost 7 inf + 0 104.388 * * [simplify]: Extracting #2: cost 16 inf + 0 104.388 * * [simplify]: Extracting #3: cost 15 inf + 164 104.388 * * [simplify]: Extracting #4: cost 13 inf + 287 104.388 * * [simplify]: Extracting #5: cost 5 inf + 1180 104.389 * * [simplify]: Extracting #6: cost 0 inf + 1951 104.389 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 104.389 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))))) 104.390 * * * * [progress]: [ 62 / 295 ] simplifiying candidate # 104.390 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 104.390 * * [simplify]: iters left: 5 (7 enodes) 104.394 * * [simplify]: iters left: 4 (28 enodes) 104.400 * * [simplify]: iters left: 3 (39 enodes) 104.412 * * [simplify]: iters left: 2 (43 enodes) 104.424 * * [simplify]: Extracting #0: cost 1 inf + 0 104.424 * * [simplify]: Extracting #1: cost 7 inf + 0 104.424 * * [simplify]: Extracting #2: cost 16 inf + 0 104.424 * * [simplify]: Extracting #3: cost 15 inf + 84 104.424 * * [simplify]: Extracting #4: cost 13 inf + 167 104.425 * * [simplify]: Extracting #5: cost 5 inf + 900 104.425 * * [simplify]: Extracting #6: cost 0 inf + 1551 104.426 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 104.426 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))) 104.426 * * * * [progress]: [ 63 / 295 ] simplifiying candidate # 104.426 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 104.426 * * [simplify]: iters left: 5 (6 enodes) 104.431 * * [simplify]: iters left: 4 (26 enodes) 104.439 * * [simplify]: iters left: 3 (35 enodes) 104.451 * * [simplify]: Extracting #0: cost 1 inf + 0 104.451 * * [simplify]: Extracting #1: cost 6 inf + 0 104.451 * * [simplify]: Extracting #2: cost 9 inf + 2 104.451 * * [simplify]: Extracting #3: cost 11 inf + 3 104.452 * * [simplify]: Extracting #4: cost 10 inf + 4 104.452 * * [simplify]: Extracting #5: cost 3 inf + 535 104.452 * * [simplify]: Extracting #6: cost 0 inf + 822 104.452 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 104.452 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 104.452 * * * * [progress]: [ 64 / 295 ] simplifiying candidate # 104.452 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 104.452 * * [simplify]: iters left: 4 (6 enodes) 104.455 * * [simplify]: iters left: 3 (25 enodes) 104.459 * * [simplify]: iters left: 2 (36 enodes) 104.465 * * [simplify]: iters left: 1 (40 enodes) 104.471 * * [simplify]: Extracting #0: cost 1 inf + 0 104.472 * * [simplify]: Extracting #1: cost 7 inf + 0 104.472 * * [simplify]: Extracting #2: cost 16 inf + 0 104.472 * * [simplify]: Extracting #3: cost 13 inf + 44 104.472 * * [simplify]: Extracting #4: cost 3 inf + 1103 104.472 * * [simplify]: Extracting #5: cost 0 inf + 1469 104.472 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 104.472 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))) 104.473 * * * * [progress]: [ 65 / 295 ] simplifiying candidate # 104.473 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 104.473 * * [simplify]: iters left: 4 (6 enodes) 104.475 * * [simplify]: iters left: 3 (25 enodes) 104.480 * * [simplify]: iters left: 2 (36 enodes) 104.487 * * [simplify]: iters left: 1 (40 enodes) 104.499 * * [simplify]: Extracting #0: cost 1 inf + 0 104.499 * * [simplify]: Extracting #1: cost 7 inf + 0 104.499 * * [simplify]: Extracting #2: cost 16 inf + 0 104.499 * * [simplify]: Extracting #3: cost 13 inf + 44 104.500 * * [simplify]: Extracting #4: cost 3 inf + 823 104.500 * * [simplify]: Extracting #5: cost 0 inf + 1069 104.501 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 104.501 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))) 104.501 * * * * [progress]: [ 66 / 295 ] simplifiying candidate # 104.501 * [simplify]: Simplifying (/ (- 1 k) 2) 104.501 * * [simplify]: iters left: 4 (5 enodes) 104.505 * * [simplify]: iters left: 3 (23 enodes) 104.513 * * [simplify]: iters left: 2 (32 enodes) 104.524 * * [simplify]: Extracting #0: cost 1 inf + 0 104.524 * * [simplify]: Extracting #1: cost 6 inf + 0 104.524 * * [simplify]: Extracting #2: cost 9 inf + 2 104.524 * * [simplify]: Extracting #3: cost 6 inf + 87 104.525 * * [simplify]: Extracting #4: cost 0 inf + 420 104.525 * [simplify]: Simplified to (/ (- 1 k) 2) 104.525 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 1)) (/ (- 1 k) 2)))))) 104.525 * * * * [progress]: [ 67 / 295 ] simplifiying candidate # 104.526 * [simplify]: Simplifying (/ (- 1 k) 2) 104.526 * * [simplify]: iters left: 4 (5 enodes) 104.530 * * [simplify]: iters left: 3 (23 enodes) 104.538 * * [simplify]: iters left: 2 (32 enodes) 104.548 * * [simplify]: Extracting #0: cost 1 inf + 0 104.548 * * [simplify]: Extracting #1: cost 6 inf + 0 104.548 * * [simplify]: Extracting #2: cost 9 inf + 2 104.548 * * [simplify]: Extracting #3: cost 6 inf + 87 104.548 * * [simplify]: Extracting #4: cost 0 inf + 420 104.549 * [simplify]: Simplified to (/ (- 1 k) 2) 104.549 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI 1) (/ (- 1 k) 2)))))) 104.549 * * * * [progress]: [ 68 / 295 ] simplifiying candidate # 104.549 * [simplify]: Simplifying (/ 1 2) 104.549 * * [simplify]: iters left: 2 (3 enodes) 104.552 * * [simplify]: iters left: 1 (12 enodes) 104.556 * * [simplify]: Extracting #0: cost 1 inf + 0 104.556 * * [simplify]: Extracting #1: cost 0 inf + 1 104.556 * [simplify]: Simplified to 1/2 104.557 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (- 1 k)) 1/2))))) 104.557 * * * * [progress]: [ 69 / 295 ] simplifiying candidate # 104.557 * [simplify]: Simplifying (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) 104.557 * * [simplify]: iters left: 5 (9 enodes) 104.562 * * [simplify]: iters left: 4 (38 enodes) 104.579 * * [simplify]: iters left: 3 (63 enodes) 104.600 * * [simplify]: iters left: 2 (98 enodes) 104.626 * * [simplify]: iters left: 1 (167 enodes) 104.672 * * [simplify]: Extracting #0: cost 1 inf + 0 104.672 * * [simplify]: Extracting #1: cost 13 inf + 0 104.673 * * [simplify]: Extracting #2: cost 54 inf + 1 104.673 * * [simplify]: Extracting #3: cost 87 inf + 5 104.674 * * [simplify]: Extracting #4: cost 68 inf + 1334 104.675 * * [simplify]: Extracting #5: cost 40 inf + 5047 104.678 * * [simplify]: Extracting #6: cost 11 inf + 17686 104.681 * * [simplify]: Extracting #7: cost 0 inf + 25802 104.685 * [simplify]: Simplified to (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) 104.685 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (* (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) (pow (cbrt PI) (/ (- 1 k) 2))))))) 104.688 * * * * [progress]: [ 70 / 295 ] simplifiying candidate # 104.688 * [simplify]: Simplifying (pow (sqrt PI) (/ (- 1 k) 2)) 104.688 * * [simplify]: iters left: 5 (8 enodes) 104.691 * * [simplify]: iters left: 4 (35 enodes) 104.697 * * [simplify]: iters left: 3 (56 enodes) 104.709 * * [simplify]: iters left: 2 (89 enodes) 104.745 * * [simplify]: iters left: 1 (175 enodes) 104.813 * * [simplify]: Extracting #0: cost 1 inf + 0 104.813 * * [simplify]: Extracting #1: cost 13 inf + 0 104.813 * * [simplify]: Extracting #2: cost 53 inf + 1 104.814 * * [simplify]: Extracting #3: cost 83 inf + 47 104.815 * * [simplify]: Extracting #4: cost 60 inf + 2914 104.823 * * [simplify]: Extracting #5: cost 14 inf + 15118 104.829 * * [simplify]: Extracting #6: cost 1 inf + 21571 104.835 * * [simplify]: Extracting #7: cost 0 inf + 21783 104.838 * [simplify]: Simplified to (pow (sqrt PI) (/ (- 1 k) 2)) 104.838 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (* (pow (sqrt PI) (/ (- 1 k) 2)) (pow (sqrt PI) (/ (- 1 k) 2))))))) 104.838 * * * * [progress]: [ 71 / 295 ] simplifiying candidate # 104.838 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 104.838 * * [simplify]: iters left: 5 (6 enodes) 104.841 * * [simplify]: iters left: 4 (24 enodes) 104.845 * * [simplify]: iters left: 3 (33 enodes) 104.850 * * [simplify]: Extracting #0: cost 1 inf + 0 104.850 * * [simplify]: Extracting #1: cost 0 inf + 1 104.850 * [simplify]: Simplified to 1 104.850 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (* 1 (pow PI (/ (- 1 k) 2))))))) 104.850 * * * * [progress]: [ 72 / 295 ] simplifiying candidate # 104.850 * * * * [progress]: [ 73 / 295 ] simplifiying candidate # 104.850 * * * * [progress]: [ 74 / 295 ] simplifiying candidate # 104.850 * * * * [progress]: [ 75 / 295 ] simplifiying candidate # 104.850 * * * * [progress]: [ 76 / 295 ] simplifiying candidate # 104.850 * * * * [progress]: [ 77 / 295 ] simplifiying candidate # 104.850 * * * * [progress]: [ 78 / 295 ] simplifiying candidate # 104.850 * * * * [progress]: [ 79 / 295 ] simplifiying candidate # 104.850 * * * * [progress]: [ 80 / 295 ] simplifiying candidate #real (real->posit16 (pow PI (/ (- 1 k) 2))))))))> 104.850 * * * * [progress]: [ 81 / 295 ] simplifiying candidate # 104.850 * * * * [progress]: [ 82 / 295 ] simplifiying candidate # 104.850 * * * * [progress]: [ 83 / 295 ] simplifiying candidate # 104.850 * * * * [progress]: [ 84 / 295 ] simplifiying candidate # 104.851 * [simplify]: Simplifying (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 104.851 * * [simplify]: iters left: 6 (14 enodes) 104.855 * * [simplify]: iters left: 5 (64 enodes) 104.866 * * [simplify]: iters left: 4 (123 enodes) 104.888 * * [simplify]: iters left: 3 (210 enodes) 104.936 * * [simplify]: iters left: 2 (471 enodes) 105.138 * * [simplify]: Extracting #0: cost 1 inf + 0 105.138 * * [simplify]: Extracting #1: cost 32 inf + 0 105.139 * * [simplify]: Extracting #2: cost 123 inf + 1 105.140 * * [simplify]: Extracting #3: cost 149 inf + 1543 105.149 * * [simplify]: Extracting #4: cost 83 inf + 17447 105.167 * * [simplify]: Extracting #5: cost 11 inf + 34509 105.189 * * [simplify]: Extracting #6: cost 0 inf + 37293 105.211 * [simplify]: Simplified to (fma (/ (+ k -1) 2) (+ (log PI) (log 2)) (log (sqrt k))) 105.211 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (fma (/ (+ k -1) 2) (+ (log PI) (log 2)) (log (sqrt k)))))) 105.212 * * * * [progress]: [ 85 / 295 ] simplifiying candidate # 105.212 * [simplify]: Simplifying (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 105.212 * * [simplify]: iters left: 6 (14 enodes) 105.220 * * [simplify]: iters left: 5 (64 enodes) 105.239 * * [simplify]: iters left: 4 (123 enodes) 105.264 * * [simplify]: iters left: 3 (210 enodes) 105.321 * * [simplify]: iters left: 2 (471 enodes) 105.558 * * [simplify]: Extracting #0: cost 1 inf + 0 105.558 * * [simplify]: Extracting #1: cost 32 inf + 0 105.559 * * [simplify]: Extracting #2: cost 123 inf + 1 105.560 * * [simplify]: Extracting #3: cost 149 inf + 1543 105.565 * * [simplify]: Extracting #4: cost 83 inf + 17447 105.575 * * [simplify]: Extracting #5: cost 11 inf + 34509 105.592 * * [simplify]: Extracting #6: cost 0 inf + 37293 105.606 * [simplify]: Simplified to (fma (/ (+ k -1) 2) (+ (log PI) (log 2)) (log (sqrt k))) 105.606 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (fma (/ (+ k -1) 2) (+ (log PI) (log 2)) (log (sqrt k)))))) 105.606 * * * * [progress]: [ 86 / 295 ] simplifiying candidate # 105.607 * [simplify]: Simplifying (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 105.607 * * [simplify]: iters left: 6 (14 enodes) 105.611 * * [simplify]: iters left: 5 (64 enodes) 105.623 * * [simplify]: iters left: 4 (127 enodes) 105.645 * * [simplify]: iters left: 3 (250 enodes) 105.708 * * [simplify]: Extracting #0: cost 1 inf + 0 105.708 * * [simplify]: Extracting #1: cost 31 inf + 0 105.709 * * [simplify]: Extracting #2: cost 127 inf + 0 105.709 * * [simplify]: Extracting #3: cost 167 inf + 77 105.710 * * [simplify]: Extracting #4: cost 139 inf + 6494 105.716 * * [simplify]: Extracting #5: cost 36 inf + 27894 105.724 * * [simplify]: Extracting #6: cost 2 inf + 40836 105.739 * * [simplify]: Extracting #7: cost 0 inf + 41710 105.757 * [simplify]: Simplified to (- (log (sqrt k)) (/ (* (- 1 k) (+ (log 2) (log PI))) 2)) 105.757 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (/ (* (- 1 k) (+ (log 2) (log PI))) 2))))) 105.757 * * * * [progress]: [ 87 / 295 ] simplifiying candidate # 105.758 * [simplify]: Simplifying (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 105.758 * * [simplify]: iters left: 6 (14 enodes) 105.767 * * [simplify]: iters left: 5 (64 enodes) 105.780 * * [simplify]: iters left: 4 (123 enodes) 105.801 * * [simplify]: iters left: 3 (210 enodes) 105.850 * * [simplify]: iters left: 2 (471 enodes) 106.069 * * [simplify]: Extracting #0: cost 1 inf + 0 106.069 * * [simplify]: Extracting #1: cost 32 inf + 0 106.070 * * [simplify]: Extracting #2: cost 123 inf + 1 106.072 * * [simplify]: Extracting #3: cost 149 inf + 1543 106.085 * * [simplify]: Extracting #4: cost 83 inf + 17447 106.103 * * [simplify]: Extracting #5: cost 11 inf + 34509 106.125 * * [simplify]: Extracting #6: cost 0 inf + 37293 106.147 * [simplify]: Simplified to (fma (/ (+ k -1) 2) (+ (log PI) (log 2)) (log (sqrt k))) 106.148 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (fma (/ (+ k -1) 2) (+ (log PI) (log 2)) (log (sqrt k)))))) 106.148 * * * * [progress]: [ 88 / 295 ] simplifiying candidate # 106.148 * [simplify]: Simplifying (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 106.148 * * [simplify]: iters left: 6 (14 enodes) 106.157 * * [simplify]: iters left: 5 (64 enodes) 106.169 * * [simplify]: iters left: 4 (123 enodes) 106.191 * * [simplify]: iters left: 3 (210 enodes) 106.279 * * [simplify]: iters left: 2 (471 enodes) 106.477 * * [simplify]: Extracting #0: cost 1 inf + 0 106.477 * * [simplify]: Extracting #1: cost 32 inf + 0 106.477 * * [simplify]: Extracting #2: cost 123 inf + 1 106.478 * * [simplify]: Extracting #3: cost 149 inf + 1543 106.483 * * [simplify]: Extracting #4: cost 83 inf + 17447 106.493 * * [simplify]: Extracting #5: cost 11 inf + 34509 106.506 * * [simplify]: Extracting #6: cost 0 inf + 37293 106.519 * [simplify]: Simplified to (fma (/ (+ k -1) 2) (+ (log PI) (log 2)) (log (sqrt k))) 106.519 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (fma (/ (+ k -1) 2) (+ (log PI) (log 2)) (log (sqrt k)))))) 106.519 * * * * [progress]: [ 89 / 295 ] simplifiying candidate # 106.519 * [simplify]: Simplifying (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 106.520 * * [simplify]: iters left: 6 (14 enodes) 106.527 * * [simplify]: iters left: 5 (64 enodes) 106.539 * * [simplify]: iters left: 4 (127 enodes) 106.568 * * [simplify]: iters left: 3 (250 enodes) 106.654 * * [simplify]: Extracting #0: cost 1 inf + 0 106.654 * * [simplify]: Extracting #1: cost 31 inf + 0 106.654 * * [simplify]: Extracting #2: cost 127 inf + 0 106.655 * * [simplify]: Extracting #3: cost 167 inf + 77 106.658 * * [simplify]: Extracting #4: cost 139 inf + 6494 106.667 * * [simplify]: Extracting #5: cost 36 inf + 27894 106.681 * * [simplify]: Extracting #6: cost 2 inf + 40836 106.692 * * [simplify]: Extracting #7: cost 0 inf + 41710 106.700 * [simplify]: Simplified to (- (log (sqrt k)) (/ (* (- 1 k) (+ (log 2) (log PI))) 2)) 106.700 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (/ (* (- 1 k) (+ (log 2) (log PI))) 2))))) 106.701 * * * * [progress]: [ 90 / 295 ] simplifiying candidate # 106.701 * [simplify]: Simplifying (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 106.701 * * [simplify]: iters left: 6 (14 enodes) 106.705 * * [simplify]: iters left: 5 (63 enodes) 106.717 * * [simplify]: iters left: 4 (127 enodes) 106.743 * * [simplify]: iters left: 3 (250 enodes) 106.810 * * [simplify]: Extracting #0: cost 1 inf + 0 106.810 * * [simplify]: Extracting #1: cost 33 inf + 0 106.811 * * [simplify]: Extracting #2: cost 128 inf + 0 106.812 * * [simplify]: Extracting #3: cost 169 inf + 6 106.814 * * [simplify]: Extracting #4: cost 148 inf + 4884 106.821 * * [simplify]: Extracting #5: cost 50 inf + 25615 106.835 * * [simplify]: Extracting #6: cost 3 inf + 40928 106.850 * * [simplify]: Extracting #7: cost 0 inf + 42146 106.862 * * [simplify]: Extracting #8: cost 0 inf + 42145 106.877 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (+ (log PI) (log 2)))) 106.877 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (+ (log PI) (log 2))))))) 106.877 * * * * [progress]: [ 91 / 295 ] simplifiying candidate # 106.877 * [simplify]: Simplifying (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 106.877 * * [simplify]: iters left: 6 (14 enodes) 106.885 * * [simplify]: iters left: 5 (63 enodes) 106.904 * * [simplify]: iters left: 4 (127 enodes) 106.945 * * [simplify]: iters left: 3 (250 enodes) 106.999 * * [simplify]: Extracting #0: cost 1 inf + 0 106.999 * * [simplify]: Extracting #1: cost 33 inf + 0 106.999 * * [simplify]: Extracting #2: cost 128 inf + 0 107.000 * * [simplify]: Extracting #3: cost 169 inf + 6 107.001 * * [simplify]: Extracting #4: cost 148 inf + 4884 107.006 * * [simplify]: Extracting #5: cost 50 inf + 25615 107.023 * * [simplify]: Extracting #6: cost 3 inf + 40928 107.040 * * [simplify]: Extracting #7: cost 0 inf + 42146 107.056 * * [simplify]: Extracting #8: cost 0 inf + 42145 107.070 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (+ (log PI) (log 2)))) 107.070 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (+ (log PI) (log 2))))))) 107.070 * * * * [progress]: [ 92 / 295 ] simplifiying candidate # 107.070 * [simplify]: Simplifying (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))) 107.070 * * [simplify]: iters left: 6 (14 enodes) 107.074 * * [simplify]: iters left: 5 (64 enodes) 107.086 * * [simplify]: iters left: 4 (123 enodes) 107.116 * * [simplify]: iters left: 3 (264 enodes) 107.180 * * [simplify]: Extracting #0: cost 1 inf + 0 107.180 * * [simplify]: Extracting #1: cost 41 inf + 0 107.180 * * [simplify]: Extracting #2: cost 157 inf + 0 107.181 * * [simplify]: Extracting #3: cost 210 inf + 4 107.182 * * [simplify]: Extracting #4: cost 182 inf + 10142 107.189 * * [simplify]: Extracting #5: cost 61 inf + 39586 107.212 * * [simplify]: Extracting #6: cost 2 inf + 62287 107.227 * * [simplify]: Extracting #7: cost 0 inf + 62956 107.239 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 2))) 107.239 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 2)))))) 107.239 * * * * [progress]: [ 93 / 295 ] simplifiying candidate # 107.239 * [simplify]: Simplifying (- (log (sqrt k)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 107.239 * * [simplify]: iters left: 6 (13 enodes) 107.243 * * [simplify]: iters left: 5 (58 enodes) 107.256 * * [simplify]: iters left: 4 (121 enodes) 107.305 * * [simplify]: iters left: 3 (285 enodes) 107.460 * * [simplify]: Extracting #0: cost 1 inf + 0 107.461 * * [simplify]: Extracting #1: cost 32 inf + 0 107.461 * * [simplify]: Extracting #2: cost 131 inf + 0 107.462 * * [simplify]: Extracting #3: cost 201 inf + 3 107.466 * * [simplify]: Extracting #4: cost 213 inf + 10187 107.479 * * [simplify]: Extracting #5: cost 108 inf + 54115 107.506 * * [simplify]: Extracting #6: cost 8 inf + 105457 107.523 * * [simplify]: Extracting #7: cost 0 inf + 108579 107.554 * * [simplify]: Extracting #8: cost 0 inf + 108248 107.570 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 2))) 107.571 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 2)))))) 107.571 * * * * [progress]: [ 94 / 295 ] simplifiying candidate # 107.571 * * * * [progress]: [ 95 / 295 ] simplifiying candidate # 107.571 * * * * [progress]: [ 96 / 295 ] simplifiying candidate # 107.571 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 107.571 * * [simplify]: iters left: 6 (17 enodes) 107.576 * * [simplify]: iters left: 5 (80 enodes) 107.593 * * [simplify]: iters left: 4 (241 enodes) 107.720 * * [simplify]: Extracting #0: cost 1 inf + 0 107.721 * * [simplify]: Extracting #1: cost 125 inf + 0 107.722 * * [simplify]: Extracting #2: cost 305 inf + 123 107.723 * * [simplify]: Extracting #3: cost 337 inf + 248 107.726 * * [simplify]: Extracting #4: cost 337 inf + 502 107.734 * * [simplify]: Extracting #5: cost 266 inf + 32264 107.755 * * [simplify]: Extracting #6: cost 77 inf + 161434 107.808 * * [simplify]: Extracting #7: cost 0 inf + 214175 107.854 * * [simplify]: Extracting #8: cost 0 inf + 212103 107.895 * * [simplify]: Extracting #9: cost 0 inf + 212023 107.953 * [simplify]: Simplified to (/ (* k (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (* (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 107.953 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (* k (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (* (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))))) 107.954 * * * * [progress]: [ 97 / 295 ] simplifiying candidate # 107.954 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 107.954 * * [simplify]: iters left: 6 (15 enodes) 107.964 * * [simplify]: iters left: 5 (75 enodes) 107.997 * * [simplify]: iters left: 4 (260 enodes) 108.234 * * [simplify]: Extracting #0: cost 1 inf + 0 108.235 * * [simplify]: Extracting #1: cost 194 inf + 0 108.236 * * [simplify]: Extracting #2: cost 421 inf + 123 108.238 * * [simplify]: Extracting #3: cost 463 inf + 248 108.240 * * [simplify]: Extracting #4: cost 465 inf + 294 108.248 * * [simplify]: Extracting #5: cost 346 inf + 64928 108.275 * * [simplify]: Extracting #6: cost 161 inf + 195060 108.322 * * [simplify]: Extracting #7: cost 7 inf + 325750 108.407 * * [simplify]: Extracting #8: cost 0 inf + 326696 108.479 * * [simplify]: Extracting #9: cost 0 inf + 325259 108.529 * * [simplify]: Extracting #10: cost 0 inf + 325179 108.615 * [simplify]: Simplified to (/ (* k (sqrt k)) (* (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))) 108.615 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (* k (sqrt k)) (* (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))))) 108.616 * * * * [progress]: [ 98 / 295 ] simplifiying candidate # 108.616 * * * * [progress]: [ 99 / 295 ] simplifiying candidate # 108.616 * * * * [progress]: [ 100 / 295 ] simplifiying candidate # 108.616 * * * * [progress]: [ 101 / 295 ] simplifiying candidate # 108.616 * * * * [progress]: [ 102 / 295 ] simplifiying candidate # 108.616 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) 108.616 * * [simplify]: iters left: 6 (10 enodes) 108.623 * * [simplify]: iters left: 5 (43 enodes) 108.638 * * [simplify]: iters left: 4 (73 enodes) 108.655 * * [simplify]: iters left: 3 (133 enodes) 108.686 * * [simplify]: iters left: 2 (286 enodes) 108.793 * * [simplify]: Extracting #0: cost 1 inf + 0 108.794 * * [simplify]: Extracting #1: cost 43 inf + 0 108.794 * * [simplify]: Extracting #2: cost 142 inf + 0 108.796 * * [simplify]: Extracting #3: cost 200 inf + 3 108.798 * * [simplify]: Extracting #4: cost 179 inf + 4518 108.808 * * [simplify]: Extracting #5: cost 86 inf + 45397 108.824 * * [simplify]: Extracting #6: cost 6 inf + 100352 108.838 * * [simplify]: Extracting #7: cost 0 inf + 103652 108.864 * * [simplify]: Extracting #8: cost 0 inf + 102626 108.891 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) 108.892 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 108.892 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 108.892 * * [simplify]: iters left: 6 (10 enodes) 108.896 * * [simplify]: iters left: 5 (41 enodes) 108.904 * * [simplify]: iters left: 4 (64 enodes) 108.916 * * [simplify]: iters left: 3 (104 enodes) 108.942 * * [simplify]: iters left: 2 (198 enodes) 108.990 * * [simplify]: iters left: 1 (379 enodes) 109.122 * * [simplify]: Extracting #0: cost 1 inf + 0 109.123 * * [simplify]: Extracting #1: cost 6 inf + 0 109.123 * * [simplify]: Extracting #2: cost 38 inf + 0 109.123 * * [simplify]: Extracting #3: cost 124 inf + 2 109.124 * * [simplify]: Extracting #4: cost 179 inf + 541 109.126 * * [simplify]: Extracting #5: cost 142 inf + 6676 109.132 * * [simplify]: Extracting #6: cost 47 inf + 39646 109.150 * * [simplify]: Extracting #7: cost 3 inf + 67335 109.162 * * [simplify]: Extracting #8: cost 0 inf + 67738 109.172 * * [simplify]: Extracting #9: cost 0 inf + 67577 109.182 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 109.182 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 109.182 * * * * [progress]: [ 103 / 295 ] simplifiying candidate # 109.183 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2))) 109.183 * * [simplify]: iters left: 6 (10 enodes) 109.188 * * [simplify]: iters left: 5 (42 enodes) 109.201 * * [simplify]: iters left: 4 (65 enodes) 109.212 * * [simplify]: iters left: 3 (105 enodes) 109.240 * * [simplify]: iters left: 2 (202 enodes) 109.299 * * [simplify]: iters left: 1 (385 enodes) 109.423 * * [simplify]: Extracting #0: cost 1 inf + 0 109.423 * * [simplify]: Extracting #1: cost 6 inf + 0 109.423 * * [simplify]: Extracting #2: cost 38 inf + 0 109.423 * * [simplify]: Extracting #3: cost 124 inf + 2 109.424 * * [simplify]: Extracting #4: cost 161 inf + 988 109.426 * * [simplify]: Extracting #5: cost 106 inf + 8417 109.432 * * [simplify]: Extracting #6: cost 43 inf + 35089 109.442 * * [simplify]: Extracting #7: cost 0 inf + 64773 109.453 * * [simplify]: Extracting #8: cost 0 inf + 64449 109.469 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow 2 (* 1/2 (- 1 k)))) 109.469 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (fabs (cbrt k)) (pow 2 (* 1/2 (- 1 k)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 109.469 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 109.469 * * [simplify]: iters left: 6 (10 enodes) 109.475 * * [simplify]: iters left: 5 (41 enodes) 109.489 * * [simplify]: iters left: 4 (64 enodes) 109.510 * * [simplify]: iters left: 3 (104 enodes) 109.548 * * [simplify]: iters left: 2 (198 enodes) 109.595 * * [simplify]: iters left: 1 (379 enodes) 109.765 * * [simplify]: Extracting #0: cost 1 inf + 0 109.765 * * [simplify]: Extracting #1: cost 6 inf + 0 109.765 * * [simplify]: Extracting #2: cost 38 inf + 0 109.766 * * [simplify]: Extracting #3: cost 124 inf + 2 109.767 * * [simplify]: Extracting #4: cost 179 inf + 621 109.768 * * [simplify]: Extracting #5: cost 142 inf + 6756 109.775 * * [simplify]: Extracting #6: cost 47 inf + 39726 109.794 * * [simplify]: Extracting #7: cost 3 inf + 67415 109.804 * * [simplify]: Extracting #8: cost 0 inf + 67818 109.814 * * [simplify]: Extracting #9: cost 0 inf + 67657 109.827 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 109.827 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 109.827 * * * * [progress]: [ 104 / 295 ] simplifiying candidate # 109.827 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 109.827 * * [simplify]: iters left: 6 (9 enodes) 109.833 * * [simplify]: iters left: 5 (38 enodes) 109.843 * * [simplify]: iters left: 4 (61 enodes) 109.854 * * [simplify]: iters left: 3 (101 enodes) 109.885 * * [simplify]: iters left: 2 (195 enodes) 109.933 * * [simplify]: iters left: 1 (359 enodes) 110.091 * * [simplify]: Extracting #0: cost 1 inf + 0 110.091 * * [simplify]: Extracting #1: cost 6 inf + 0 110.091 * * [simplify]: Extracting #2: cost 36 inf + 0 110.092 * * [simplify]: Extracting #3: cost 118 inf + 2 110.092 * * [simplify]: Extracting #4: cost 169 inf + 296 110.093 * * [simplify]: Extracting #5: cost 139 inf + 2912 110.096 * * [simplify]: Extracting #6: cost 89 inf + 9361 110.101 * * [simplify]: Extracting #7: cost 36 inf + 34708 110.110 * * [simplify]: Extracting #8: cost 1 inf + 62406 110.123 * * [simplify]: Extracting #9: cost 0 inf + 62506 110.141 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 110.141 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 110.142 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 110.142 * * [simplify]: iters left: 6 (10 enodes) 110.147 * * [simplify]: iters left: 5 (41 enodes) 110.162 * * [simplify]: iters left: 4 (64 enodes) 110.185 * * [simplify]: iters left: 3 (104 enodes) 110.228 * * [simplify]: iters left: 2 (198 enodes) 110.283 * * [simplify]: iters left: 1 (379 enodes) 110.401 * * [simplify]: Extracting #0: cost 1 inf + 0 110.401 * * [simplify]: Extracting #1: cost 6 inf + 0 110.402 * * [simplify]: Extracting #2: cost 38 inf + 0 110.402 * * [simplify]: Extracting #3: cost 124 inf + 2 110.403 * * [simplify]: Extracting #4: cost 179 inf + 461 110.404 * * [simplify]: Extracting #5: cost 142 inf + 6556 110.411 * * [simplify]: Extracting #6: cost 47 inf + 39006 110.421 * * [simplify]: Extracting #7: cost 3 inf + 66455 110.431 * * [simplify]: Extracting #8: cost 0 inf + 66818 110.441 * * [simplify]: Extracting #9: cost 0 inf + 66657 110.451 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 110.451 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 110.451 * * * * [progress]: [ 105 / 295 ] simplifiying candidate # 110.452 * [simplify]: Simplifying (/ (sqrt 1) (pow 2 (/ (- 1 k) 2))) 110.452 * * [simplify]: iters left: 6 (8 enodes) 110.455 * * [simplify]: iters left: 5 (35 enodes) 110.463 * * [simplify]: iters left: 4 (58 enodes) 110.476 * * [simplify]: iters left: 3 (95 enodes) 110.495 * * [simplify]: iters left: 2 (187 enodes) 110.544 * * [simplify]: iters left: 1 (358 enodes) 110.652 * * [simplify]: Extracting #0: cost 1 inf + 0 110.652 * * [simplify]: Extracting #1: cost 6 inf + 0 110.652 * * [simplify]: Extracting #2: cost 30 inf + 1 110.652 * * [simplify]: Extracting #3: cost 113 inf + 3 110.653 * * [simplify]: Extracting #4: cost 160 inf + 8 110.655 * * [simplify]: Extracting #5: cost 151 inf + 3193 110.664 * * [simplify]: Extracting #6: cost 69 inf + 24212 110.683 * * [simplify]: Extracting #7: cost 1 inf + 55706 110.704 * * [simplify]: Extracting #8: cost 0 inf + 55681 110.725 * * [simplify]: Extracting #9: cost 0 inf + 55640 110.745 * [simplify]: Simplified to (/ 1 (pow 2 (* 1/2 (- 1 k)))) 110.745 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow 2 (* 1/2 (- 1 k)))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 110.745 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 110.745 * * [simplify]: iters left: 6 (9 enodes) 110.751 * * [simplify]: iters left: 5 (38 enodes) 110.762 * * [simplify]: iters left: 4 (61 enodes) 110.773 * * [simplify]: iters left: 3 (101 enodes) 110.794 * * [simplify]: iters left: 2 (195 enodes) 110.866 * * [simplify]: iters left: 1 (364 enodes) 111.023 * * [simplify]: Extracting #0: cost 1 inf + 0 111.023 * * [simplify]: Extracting #1: cost 6 inf + 0 111.023 * * [simplify]: Extracting #2: cost 38 inf + 0 111.024 * * [simplify]: Extracting #3: cost 116 inf + 44 111.025 * * [simplify]: Extracting #4: cost 170 inf + 135 111.028 * * [simplify]: Extracting #5: cost 143 inf + 2414 111.034 * * [simplify]: Extracting #6: cost 71 inf + 17929 111.048 * * [simplify]: Extracting #7: cost 12 inf + 52022 111.066 * * [simplify]: Extracting #8: cost 0 inf + 62626 111.085 * * [simplify]: Extracting #9: cost 0 inf + 61596 111.104 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 111.104 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt 1) (pow 2 (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 111.104 * * * * [progress]: [ 106 / 295 ] simplifiying candidate # 111.104 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 111.104 * * [simplify]: iters left: 6 (9 enodes) 111.115 * * [simplify]: iters left: 5 (38 enodes) 111.128 * * [simplify]: iters left: 4 (61 enodes) 111.148 * * [simplify]: iters left: 3 (101 enodes) 111.173 * * [simplify]: iters left: 2 (195 enodes) 111.235 * * [simplify]: iters left: 1 (359 enodes) 111.386 * * [simplify]: Extracting #0: cost 1 inf + 0 111.386 * * [simplify]: Extracting #1: cost 6 inf + 0 111.386 * * [simplify]: Extracting #2: cost 36 inf + 0 111.386 * * [simplify]: Extracting #3: cost 118 inf + 2 111.388 * * [simplify]: Extracting #4: cost 169 inf + 296 111.390 * * [simplify]: Extracting #5: cost 139 inf + 2912 111.395 * * [simplify]: Extracting #6: cost 89 inf + 9361 111.400 * * [simplify]: Extracting #7: cost 36 inf + 34708 111.408 * * [simplify]: Extracting #8: cost 1 inf + 62406 111.417 * * [simplify]: Extracting #9: cost 0 inf + 62506 111.431 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 111.431 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 111.431 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 111.431 * * [simplify]: iters left: 6 (10 enodes) 111.438 * * [simplify]: iters left: 5 (41 enodes) 111.456 * * [simplify]: iters left: 4 (64 enodes) 111.468 * * [simplify]: iters left: 3 (104 enodes) 111.491 * * [simplify]: iters left: 2 (198 enodes) 111.561 * * [simplify]: iters left: 1 (379 enodes) 111.709 * * [simplify]: Extracting #0: cost 1 inf + 0 111.709 * * [simplify]: Extracting #1: cost 6 inf + 0 111.709 * * [simplify]: Extracting #2: cost 38 inf + 0 111.710 * * [simplify]: Extracting #3: cost 124 inf + 2 111.711 * * [simplify]: Extracting #4: cost 179 inf + 461 111.714 * * [simplify]: Extracting #5: cost 142 inf + 6556 111.726 * * [simplify]: Extracting #6: cost 47 inf + 39006 111.738 * * [simplify]: Extracting #7: cost 3 inf + 66455 111.748 * * [simplify]: Extracting #8: cost 0 inf + 66818 111.758 * * [simplify]: Extracting #9: cost 0 inf + 66657 111.782 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 111.782 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 111.782 * * * * [progress]: [ 107 / 295 ] simplifiying candidate # 111.782 * [simplify]: Simplifying (/ 1 (pow 2 (/ (- 1 k) 2))) 111.782 * * [simplify]: iters left: 6 (7 enodes) 111.787 * * [simplify]: iters left: 5 (32 enodes) 111.799 * * [simplify]: iters left: 4 (55 enodes) 111.819 * * [simplify]: iters left: 3 (92 enodes) 111.855 * * [simplify]: iters left: 2 (184 enodes) 111.928 * * [simplify]: iters left: 1 (352 enodes) 112.078 * * [simplify]: Extracting #0: cost 1 inf + 0 112.078 * * [simplify]: Extracting #1: cost 6 inf + 0 112.078 * * [simplify]: Extracting #2: cost 36 inf + 1 112.079 * * [simplify]: Extracting #3: cost 111 inf + 3 112.080 * * [simplify]: Extracting #4: cost 155 inf + 8 112.081 * * [simplify]: Extracting #5: cost 147 inf + 677 112.086 * * [simplify]: Extracting #6: cost 92 inf + 8218 112.093 * * [simplify]: Extracting #7: cost 57 inf + 18571 112.107 * * [simplify]: Extracting #8: cost 9 inf + 52111 112.124 * * [simplify]: Extracting #9: cost 0 inf + 60326 112.141 * [simplify]: Simplified to (/ 1 (pow 2 (* 1/2 (- 1 k)))) 112.141 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow 2 (* 1/2 (- 1 k)))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 112.142 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 112.142 * * [simplify]: iters left: 6 (9 enodes) 112.147 * * [simplify]: iters left: 5 (38 enodes) 112.157 * * [simplify]: iters left: 4 (61 enodes) 112.168 * * [simplify]: iters left: 3 (101 enodes) 112.197 * * [simplify]: iters left: 2 (195 enodes) 112.271 * * [simplify]: iters left: 1 (364 enodes) 112.435 * * [simplify]: Extracting #0: cost 1 inf + 0 112.435 * * [simplify]: Extracting #1: cost 6 inf + 0 112.435 * * [simplify]: Extracting #2: cost 38 inf + 0 112.436 * * [simplify]: Extracting #3: cost 116 inf + 44 112.437 * * [simplify]: Extracting #4: cost 170 inf + 135 112.439 * * [simplify]: Extracting #5: cost 143 inf + 2414 112.447 * * [simplify]: Extracting #6: cost 71 inf + 17929 112.461 * * [simplify]: Extracting #7: cost 12 inf + 52022 112.479 * * [simplify]: Extracting #8: cost 0 inf + 62626 112.498 * * [simplify]: Extracting #9: cost 0 inf + 61596 112.517 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 112.517 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow 2 (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 112.517 * * * * [progress]: [ 108 / 295 ] simplifiying candidate # 112.517 * * * * [progress]: [ 109 / 295 ] simplifiying candidate # 112.517 * * * * [progress]: [ 110 / 295 ] simplifiying candidate # 112.517 * * * * [progress]: [ 111 / 295 ] simplifiying candidate # 112.518 * [simplify]: Simplifying (pow PI (/ (- 1 k) 2)) 112.518 * * [simplify]: iters left: 5 (7 enodes) 112.523 * * [simplify]: iters left: 4 (32 enodes) 112.539 * * [simplify]: iters left: 3 (57 enodes) 112.558 * * [simplify]: iters left: 2 (88 enodes) 112.589 * * [simplify]: iters left: 1 (156 enodes) 112.655 * * [simplify]: Extracting #0: cost 1 inf + 0 112.655 * * [simplify]: Extracting #1: cost 13 inf + 0 112.655 * * [simplify]: Extracting #2: cost 49 inf + 2 112.656 * * [simplify]: Extracting #3: cost 80 inf + 6 112.657 * * [simplify]: Extracting #4: cost 58 inf + 1840 112.660 * * [simplify]: Extracting #5: cost 22 inf + 9206 112.666 * * [simplify]: Extracting #6: cost 1 inf + 20886 112.673 * * [simplify]: Extracting #7: cost 0 inf + 21301 112.679 * * [simplify]: Extracting #8: cost 0 inf + 21130 112.689 * [simplify]: Simplified to (pow PI (/ (- 1 k) 2)) 112.689 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 112.689 * * * * [progress]: [ 112 / 295 ] simplifiying candidate # 112.689 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 112.689 * * [simplify]: iters left: 4 (4 enodes) 112.691 * * [simplify]: iters left: 3 (12 enodes) 112.695 * * [simplify]: Extracting #0: cost 1 inf + 0 112.695 * * [simplify]: Extracting #1: cost 3 inf + 0 112.695 * * [simplify]: Extracting #2: cost 5 inf + 0 112.695 * * [simplify]: Extracting #3: cost 7 inf + 0 112.695 * * [simplify]: Extracting #4: cost 6 inf + 1 112.695 * * [simplify]: Extracting #5: cost 0 inf + 647 112.695 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 112.695 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))))) 112.696 * * * * [progress]: [ 113 / 295 ] simplifiying candidate # 112.696 * [simplify]: Simplifying (sqrt (* (cbrt k) (cbrt k))) 112.696 * * [simplify]: iters left: 4 (4 enodes) 112.698 * * [simplify]: iters left: 3 (13 enodes) 112.701 * * [simplify]: Extracting #0: cost 1 inf + 0 112.701 * * [simplify]: Extracting #1: cost 4 inf + 0 112.701 * * [simplify]: Extracting #2: cost 7 inf + 0 112.701 * * [simplify]: Extracting #3: cost 6 inf + 1 112.702 * * [simplify]: Extracting #4: cost 0 inf + 647 112.702 * [simplify]: Simplified to (fabs (cbrt k)) 112.702 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (fabs (cbrt k)) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (cbrt k)))))) 112.702 * * * * [progress]: [ 114 / 295 ] simplifiying candidate # 112.702 * [simplify]: Simplifying (sqrt (sqrt k)) 112.702 * * [simplify]: iters left: 2 (3 enodes) 112.704 * * [simplify]: iters left: 1 (9 enodes) 112.706 * * [simplify]: Extracting #0: cost 1 inf + 0 112.706 * * [simplify]: Extracting #1: cost 3 inf + 0 112.706 * * [simplify]: Extracting #2: cost 5 inf + 0 112.706 * * [simplify]: Extracting #3: cost 4 inf + 1 112.706 * * [simplify]: Extracting #4: cost 0 inf + 245 112.707 * [simplify]: Simplified to (sqrt (sqrt k)) 112.707 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 112.707 * * * * [progress]: [ 115 / 295 ] simplifiying candidate # 112.708 * [simplify]: Simplifying (sqrt 1) 112.708 * * [simplify]: iters left: 1 (2 enodes) 112.711 * * [simplify]: Extracting #0: cost 1 inf + 0 112.712 * * [simplify]: Extracting #1: cost 0 inf + 1 112.712 * [simplify]: Simplified to 1 112.712 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ 1 (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k))))) 112.712 * * * * [progress]: [ 116 / 295 ] simplifiying candidate # 112.712 * [simplify]: Simplifying (sqrt (sqrt k)) 112.712 * * [simplify]: iters left: 2 (3 enodes) 112.713 * * [simplify]: iters left: 1 (9 enodes) 112.716 * * [simplify]: Extracting #0: cost 1 inf + 0 112.716 * * [simplify]: Extracting #1: cost 3 inf + 0 112.716 * * [simplify]: Extracting #2: cost 5 inf + 0 112.716 * * [simplify]: Extracting #3: cost 4 inf + 1 112.716 * * [simplify]: Extracting #4: cost 0 inf + 245 112.716 * [simplify]: Simplified to (sqrt (sqrt k)) 112.716 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 112.716 * * * * [progress]: [ 117 / 295 ] simplifiying candidate # 112.716 * * * * [progress]: [ 118 / 295 ] simplifiying candidate # 112.717 * [simplify]: Simplifying (* (pow 2 (/ k 2)) (pow PI (/ k 2))) 112.717 * * [simplify]: iters left: 5 (7 enodes) 112.720 * * [simplify]: iters left: 4 (27 enodes) 112.730 * * [simplify]: iters left: 3 (56 enodes) 112.752 * * [simplify]: iters left: 2 (144 enodes) 112.823 * * [simplify]: Extracting #0: cost 1 inf + 0 112.823 * * [simplify]: Extracting #1: cost 27 inf + 0 112.823 * * [simplify]: Extracting #2: cost 107 inf + 0 112.824 * * [simplify]: Extracting #3: cost 124 inf + 3 112.825 * * [simplify]: Extracting #4: cost 114 inf + 2145 112.828 * * [simplify]: Extracting #5: cost 83 inf + 10231 112.835 * * [simplify]: Extracting #6: cost 29 inf + 39117 112.846 * * [simplify]: Extracting #7: cost 2 inf + 58279 112.857 * * [simplify]: Extracting #8: cost 0 inf + 59617 112.870 * [simplify]: Simplified to (* (pow 2 (/ k 2)) (pow PI (/ k 2))) 112.870 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 112.870 * * * * [progress]: [ 119 / 295 ] simplifiying candidate # 112.870 * [simplify]: Simplifying (pow PI (/ k 2)) 112.870 * * [simplify]: iters left: 3 (5 enodes) 112.874 * * [simplify]: iters left: 2 (18 enodes) 112.880 * * [simplify]: iters left: 1 (30 enodes) 112.886 * * [simplify]: Extracting #0: cost 1 inf + 0 112.886 * * [simplify]: Extracting #1: cost 10 inf + 0 112.886 * * [simplify]: Extracting #2: cost 23 inf + 1 112.886 * * [simplify]: Extracting #3: cost 23 inf + 46 112.886 * * [simplify]: Extracting #4: cost 11 inf + 1346 112.887 * * [simplify]: Extracting #5: cost 1 inf + 3938 112.887 * * [simplify]: Extracting #6: cost 0 inf + 4111 112.888 * * [simplify]: Extracting #7: cost 0 inf + 4070 112.888 * [simplify]: Simplified to (pow PI (/ k 2)) 112.888 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) (pow PI (/ k 2))))) 112.888 * * * * [progress]: [ 120 / 295 ] simplifiying candidate # 112.888 * [simplify]: Simplifying (pow 2 (/ k 2)) 112.888 * * [simplify]: iters left: 3 (4 enodes) 112.890 * * [simplify]: iters left: 2 (15 enodes) 112.893 * * [simplify]: iters left: 1 (27 enodes) 112.898 * * [simplify]: Extracting #0: cost 1 inf + 0 112.898 * * [simplify]: Extracting #1: cost 10 inf + 0 112.898 * * [simplify]: Extracting #2: cost 22 inf + 1 112.898 * * [simplify]: Extracting #3: cost 23 inf + 45 112.898 * * [simplify]: Extracting #4: cost 9 inf + 1889 112.899 * * [simplify]: Extracting #5: cost 1 inf + 3931 112.899 * * [simplify]: Extracting #6: cost 0 inf + 4105 112.900 * * [simplify]: Extracting #7: cost 0 inf + 4065 112.900 * [simplify]: Simplified to (pow 2 (/ k 2)) 112.900 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) (pow 2 (/ k 2))))) 112.900 * * * * [progress]: [ 121 / 295 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))))> 112.900 * * * * [progress]: [ 122 / 295 ] simplifiying candidate # 112.900 * * * * [progress]: [ 123 / 295 ] simplifiying candidate # 112.901 * * * * [progress]: [ 124 / 295 ] simplifiying candidate # 112.901 * * * * [progress]: [ 125 / 295 ] simplifiying candidate # 112.901 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 112.901 * * [simplify]: iters left: 6 (18 enodes) 112.907 * * [simplify]: iters left: 5 (84 enodes) 112.939 * * [simplify]: iters left: 4 (174 enodes) 112.980 * * [simplify]: iters left: 3 (321 enodes) 113.109 * * [simplify]: Extracting #0: cost 1 inf + 0 113.109 * * [simplify]: Extracting #1: cost 36 inf + 0 113.110 * * [simplify]: Extracting #2: cost 138 inf + 0 113.112 * * [simplify]: Extracting #3: cost 155 inf + 1696 113.121 * * [simplify]: Extracting #4: cost 56 inf + 25256 113.146 * * [simplify]: Extracting #5: cost 2 inf + 37970 113.167 * * [simplify]: Extracting #6: cost 0 inf + 38864 113.189 * * [simplify]: Extracting #7: cost 0 inf + 38862 113.210 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 113.211 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 113.211 * * * * [progress]: [ 126 / 295 ] simplifiying candidate # 113.211 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 113.211 * * [simplify]: iters left: 6 (18 enodes) 113.222 * * [simplify]: iters left: 5 (84 enodes) 113.254 * * [simplify]: iters left: 4 (174 enodes) 113.299 * * [simplify]: iters left: 3 (321 enodes) 113.382 * * [simplify]: Extracting #0: cost 1 inf + 0 113.382 * * [simplify]: Extracting #1: cost 36 inf + 0 113.383 * * [simplify]: Extracting #2: cost 138 inf + 0 113.385 * * [simplify]: Extracting #3: cost 155 inf + 1696 113.395 * * [simplify]: Extracting #4: cost 56 inf + 25256 113.414 * * [simplify]: Extracting #5: cost 2 inf + 37970 113.436 * * [simplify]: Extracting #6: cost 0 inf + 38864 113.458 * * [simplify]: Extracting #7: cost 0 inf + 38862 113.479 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 113.479 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 113.479 * * * * [progress]: [ 127 / 295 ] simplifiying candidate # 113.479 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))) 113.480 * * [simplify]: iters left: 6 (18 enodes) 113.494 * * [simplify]: iters left: 5 (84 enodes) 113.516 * * [simplify]: iters left: 4 (178 enodes) 113.565 * * [simplify]: iters left: 3 (361 enodes) 113.700 * * [simplify]: Extracting #0: cost 1 inf + 0 113.700 * * [simplify]: Extracting #1: cost 43 inf + 0 113.701 * * [simplify]: Extracting #2: cost 194 inf + 0 113.704 * * [simplify]: Extracting #3: cost 204 inf + 6985 113.722 * * [simplify]: Extracting #4: cost 71 inf + 46522 113.752 * * [simplify]: Extracting #5: cost 9 inf + 65518 113.773 * * [simplify]: Extracting #6: cost 0 inf + 68828 113.789 * * [simplify]: Extracting #7: cost 0 inf + 68826 113.805 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 113.805 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 113.805 * * * * [progress]: [ 128 / 295 ] simplifiying candidate # 113.806 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 113.806 * * [simplify]: iters left: 6 (18 enodes) 113.814 * * [simplify]: iters left: 5 (84 enodes) 113.835 * * [simplify]: iters left: 4 (174 enodes) 113.879 * * [simplify]: iters left: 3 (321 enodes) 114.010 * * [simplify]: Extracting #0: cost 1 inf + 0 114.010 * * [simplify]: Extracting #1: cost 36 inf + 0 114.011 * * [simplify]: Extracting #2: cost 138 inf + 0 114.013 * * [simplify]: Extracting #3: cost 155 inf + 1696 114.026 * * [simplify]: Extracting #4: cost 56 inf + 25256 114.046 * * [simplify]: Extracting #5: cost 2 inf + 37970 114.068 * * [simplify]: Extracting #6: cost 0 inf + 38864 114.090 * * [simplify]: Extracting #7: cost 0 inf + 38862 114.112 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 114.112 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 114.112 * * * * [progress]: [ 129 / 295 ] simplifiying candidate # 114.113 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 114.113 * * [simplify]: iters left: 6 (18 enodes) 114.123 * * [simplify]: iters left: 5 (84 enodes) 114.147 * * [simplify]: iters left: 4 (174 enodes) 114.192 * * [simplify]: iters left: 3 (321 enodes) 114.346 * * [simplify]: Extracting #0: cost 1 inf + 0 114.346 * * [simplify]: Extracting #1: cost 36 inf + 0 114.347 * * [simplify]: Extracting #2: cost 138 inf + 0 114.349 * * [simplify]: Extracting #3: cost 155 inf + 1696 114.358 * * [simplify]: Extracting #4: cost 56 inf + 25256 114.378 * * [simplify]: Extracting #5: cost 2 inf + 37970 114.400 * * [simplify]: Extracting #6: cost 0 inf + 38864 114.422 * * [simplify]: Extracting #7: cost 0 inf + 38862 114.445 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 114.445 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 114.445 * * * * [progress]: [ 130 / 295 ] simplifiying candidate # 114.445 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))) 114.445 * * [simplify]: iters left: 6 (18 enodes) 114.451 * * [simplify]: iters left: 5 (84 enodes) 114.467 * * [simplify]: iters left: 4 (178 enodes) 114.521 * * [simplify]: iters left: 3 (361 enodes) 114.646 * * [simplify]: Extracting #0: cost 1 inf + 0 114.646 * * [simplify]: Extracting #1: cost 43 inf + 0 114.647 * * [simplify]: Extracting #2: cost 194 inf + 0 114.650 * * [simplify]: Extracting #3: cost 204 inf + 6985 114.668 * * [simplify]: Extracting #4: cost 71 inf + 46522 114.697 * * [simplify]: Extracting #5: cost 9 inf + 65518 114.727 * * [simplify]: Extracting #6: cost 0 inf + 68828 114.745 * * [simplify]: Extracting #7: cost 0 inf + 68826 114.764 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 114.764 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 114.764 * * * * [progress]: [ 131 / 295 ] simplifiying candidate # 114.764 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))) 114.764 * * [simplify]: iters left: 6 (18 enodes) 114.772 * * [simplify]: iters left: 5 (83 enodes) 114.799 * * [simplify]: iters left: 4 (178 enodes) 114.838 * * [simplify]: iters left: 3 (355 enodes) 114.981 * * [simplify]: Extracting #0: cost 1 inf + 0 114.982 * * [simplify]: Extracting #1: cost 41 inf + 0 114.982 * * [simplify]: Extracting #2: cost 191 inf + 0 114.984 * * [simplify]: Extracting #3: cost 208 inf + 6844 114.993 * * [simplify]: Extracting #4: cost 76 inf + 42757 115.008 * * [simplify]: Extracting #5: cost 12 inf + 64389 115.036 * * [simplify]: Extracting #6: cost 1 inf + 68057 115.067 * * [simplify]: Extracting #7: cost 0 inf + 68641 115.101 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 115.101 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 115.101 * * * * [progress]: [ 132 / 295 ] simplifiying candidate # 115.101 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))) 115.102 * * [simplify]: iters left: 6 (18 enodes) 115.113 * * [simplify]: iters left: 5 (83 enodes) 115.143 * * [simplify]: iters left: 4 (178 enodes) 115.210 * * [simplify]: iters left: 3 (355 enodes) 115.310 * * [simplify]: Extracting #0: cost 1 inf + 0 115.310 * * [simplify]: Extracting #1: cost 41 inf + 0 115.310 * * [simplify]: Extracting #2: cost 191 inf + 0 115.313 * * [simplify]: Extracting #3: cost 208 inf + 6844 115.329 * * [simplify]: Extracting #4: cost 76 inf + 42757 115.344 * * [simplify]: Extracting #5: cost 12 inf + 64389 115.359 * * [simplify]: Extracting #6: cost 1 inf + 68057 115.376 * * [simplify]: Extracting #7: cost 0 inf + 68641 115.400 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 115.401 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 115.401 * * * * [progress]: [ 133 / 295 ] simplifiying candidate # 115.401 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2)))))) 115.401 * * [simplify]: iters left: 6 (18 enodes) 115.411 * * [simplify]: iters left: 5 (84 enodes) 115.439 * * [simplify]: iters left: 4 (179 enodes) 115.483 * * [simplify]: iters left: 3 (381 enodes) 115.623 * * [simplify]: Extracting #0: cost 1 inf + 0 115.624 * * [simplify]: Extracting #1: cost 49 inf + 0 115.625 * * [simplify]: Extracting #2: cost 241 inf + 0 115.629 * * [simplify]: Extracting #3: cost 269 inf + 9397 115.649 * * [simplify]: Extracting #4: cost 124 inf + 55736 115.678 * * [simplify]: Extracting #5: cost 31 inf + 87268 115.699 * * [simplify]: Extracting #6: cost 2 inf + 98990 115.723 * * [simplify]: Extracting #7: cost 0 inf + 99520 115.744 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 115.744 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 115.744 * * * * [progress]: [ 134 / 295 ] simplifiying candidate # 115.744 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 115.744 * * [simplify]: iters left: 6 (17 enodes) 115.749 * * [simplify]: iters left: 5 (78 enodes) 115.775 * * [simplify]: iters left: 4 (169 enodes) 115.830 * * [simplify]: iters left: 3 (372 enodes) 115.959 * * [simplify]: Extracting #0: cost 1 inf + 0 115.959 * * [simplify]: Extracting #1: cost 50 inf + 0 115.959 * * [simplify]: Extracting #2: cost 220 inf + 0 115.962 * * [simplify]: Extracting #3: cost 244 inf + 13947 115.975 * * [simplify]: Extracting #4: cost 165 inf + 63386 115.994 * * [simplify]: Extracting #5: cost 54 inf + 105712 116.017 * * [simplify]: Extracting #6: cost 5 inf + 138130 116.041 * * [simplify]: Extracting #7: cost 0 inf + 139704 116.079 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 116.079 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 116.079 * * * * [progress]: [ 135 / 295 ] simplifiying candidate # 116.079 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (log (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 116.080 * * [simplify]: iters left: 6 (16 enodes) 116.088 * * [simplify]: iters left: 5 (73 enodes) 116.101 * * [simplify]: iters left: 4 (153 enodes) 116.142 * * [simplify]: iters left: 3 (337 enodes) 116.308 * * [simplify]: Extracting #0: cost 1 inf + 0 116.309 * * [simplify]: Extracting #1: cost 34 inf + 0 116.309 * * [simplify]: Extracting #2: cost 133 inf + 0 116.311 * * [simplify]: Extracting #3: cost 212 inf + 1478 116.317 * * [simplify]: Extracting #4: cost 218 inf + 17462 116.338 * * [simplify]: Extracting #5: cost 81 inf + 85999 116.379 * * [simplify]: Extracting #6: cost 0 inf + 134816 116.403 * * [simplify]: Extracting #7: cost 0 inf + 131859 116.432 * * [simplify]: Extracting #8: cost 0 inf + 131739 116.461 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (+ (log 2) (log PI))))) 116.461 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (+ (log 2) (log PI))))))) 116.461 * * * * [progress]: [ 136 / 295 ] simplifiying candidate # 116.461 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 116.461 * * [simplify]: iters left: 6 (18 enodes) 116.466 * * [simplify]: iters left: 5 (84 enodes) 116.482 * * [simplify]: iters left: 4 (174 enodes) 116.535 * * [simplify]: iters left: 3 (321 enodes) 116.646 * * [simplify]: Extracting #0: cost 1 inf + 0 116.646 * * [simplify]: Extracting #1: cost 36 inf + 0 116.647 * * [simplify]: Extracting #2: cost 138 inf + 0 116.648 * * [simplify]: Extracting #3: cost 155 inf + 1696 116.653 * * [simplify]: Extracting #4: cost 56 inf + 25256 116.663 * * [simplify]: Extracting #5: cost 2 inf + 37970 116.684 * * [simplify]: Extracting #6: cost 0 inf + 38864 116.701 * * [simplify]: Extracting #7: cost 0 inf + 38862 116.715 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 116.715 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 116.715 * * * * [progress]: [ 137 / 295 ] simplifiying candidate # 116.715 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 116.715 * * [simplify]: iters left: 6 (18 enodes) 116.720 * * [simplify]: iters left: 5 (84 enodes) 116.736 * * [simplify]: iters left: 4 (174 enodes) 116.800 * * [simplify]: iters left: 3 (321 enodes) 116.914 * * [simplify]: Extracting #0: cost 1 inf + 0 116.915 * * [simplify]: Extracting #1: cost 36 inf + 0 116.915 * * [simplify]: Extracting #2: cost 138 inf + 0 116.916 * * [simplify]: Extracting #3: cost 155 inf + 1696 116.925 * * [simplify]: Extracting #4: cost 56 inf + 25256 116.935 * * [simplify]: Extracting #5: cost 2 inf + 37970 116.953 * * [simplify]: Extracting #6: cost 0 inf + 38864 116.974 * * [simplify]: Extracting #7: cost 0 inf + 38862 116.995 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 116.995 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 116.996 * * * * [progress]: [ 138 / 295 ] simplifiying candidate # 116.996 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))) 116.996 * * [simplify]: iters left: 6 (18 enodes) 117.007 * * [simplify]: iters left: 5 (84 enodes) 117.038 * * [simplify]: iters left: 4 (178 enodes) 117.109 * * [simplify]: iters left: 3 (361 enodes) 117.269 * * [simplify]: Extracting #0: cost 1 inf + 0 117.270 * * [simplify]: Extracting #1: cost 43 inf + 0 117.271 * * [simplify]: Extracting #2: cost 194 inf + 0 117.274 * * [simplify]: Extracting #3: cost 204 inf + 6985 117.289 * * [simplify]: Extracting #4: cost 71 inf + 46522 117.305 * * [simplify]: Extracting #5: cost 9 inf + 65518 117.334 * * [simplify]: Extracting #6: cost 0 inf + 68828 117.363 * * [simplify]: Extracting #7: cost 0 inf + 68826 117.394 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 117.394 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 117.395 * * * * [progress]: [ 139 / 295 ] simplifiying candidate # 117.395 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 117.395 * * [simplify]: iters left: 6 (18 enodes) 117.405 * * [simplify]: iters left: 5 (84 enodes) 117.423 * * [simplify]: iters left: 4 (174 enodes) 117.469 * * [simplify]: iters left: 3 (321 enodes) 117.578 * * [simplify]: Extracting #0: cost 1 inf + 0 117.578 * * [simplify]: Extracting #1: cost 36 inf + 0 117.579 * * [simplify]: Extracting #2: cost 138 inf + 0 117.580 * * [simplify]: Extracting #3: cost 155 inf + 1696 117.590 * * [simplify]: Extracting #4: cost 56 inf + 25256 117.610 * * [simplify]: Extracting #5: cost 2 inf + 37970 117.631 * * [simplify]: Extracting #6: cost 0 inf + 38864 117.652 * * [simplify]: Extracting #7: cost 0 inf + 38862 117.676 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 117.676 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 117.676 * * * * [progress]: [ 140 / 295 ] simplifiying candidate # 117.676 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 117.677 * * [simplify]: iters left: 6 (18 enodes) 117.682 * * [simplify]: iters left: 5 (84 enodes) 117.699 * * [simplify]: iters left: 4 (174 enodes) 117.740 * * [simplify]: iters left: 3 (321 enodes) 117.870 * * [simplify]: Extracting #0: cost 1 inf + 0 117.870 * * [simplify]: Extracting #1: cost 36 inf + 0 117.870 * * [simplify]: Extracting #2: cost 138 inf + 0 117.871 * * [simplify]: Extracting #3: cost 155 inf + 1696 117.876 * * [simplify]: Extracting #4: cost 56 inf + 25256 117.887 * * [simplify]: Extracting #5: cost 2 inf + 37970 117.898 * * [simplify]: Extracting #6: cost 0 inf + 38864 117.920 * * [simplify]: Extracting #7: cost 0 inf + 38862 117.934 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 117.934 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 117.934 * * * * [progress]: [ 141 / 295 ] simplifiying candidate # 117.935 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))) 117.935 * * [simplify]: iters left: 6 (18 enodes) 117.940 * * [simplify]: iters left: 5 (84 enodes) 117.957 * * [simplify]: iters left: 4 (178 enodes) 118.001 * * [simplify]: iters left: 3 (361 enodes) 118.144 * * [simplify]: Extracting #0: cost 1 inf + 0 118.144 * * [simplify]: Extracting #1: cost 43 inf + 0 118.146 * * [simplify]: Extracting #2: cost 194 inf + 0 118.149 * * [simplify]: Extracting #3: cost 204 inf + 6985 118.166 * * [simplify]: Extracting #4: cost 71 inf + 46522 118.199 * * [simplify]: Extracting #5: cost 9 inf + 65518 118.221 * * [simplify]: Extracting #6: cost 0 inf + 68828 118.239 * * [simplify]: Extracting #7: cost 0 inf + 68826 118.267 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 118.267 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 118.267 * * * * [progress]: [ 142 / 295 ] simplifiying candidate # 118.267 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))) 118.268 * * [simplify]: iters left: 6 (18 enodes) 118.273 * * [simplify]: iters left: 5 (83 enodes) 118.288 * * [simplify]: iters left: 4 (178 enodes) 118.343 * * [simplify]: iters left: 3 (355 enodes) 118.464 * * [simplify]: Extracting #0: cost 1 inf + 0 118.464 * * [simplify]: Extracting #1: cost 41 inf + 0 118.465 * * [simplify]: Extracting #2: cost 191 inf + 0 118.468 * * [simplify]: Extracting #3: cost 208 inf + 6844 118.485 * * [simplify]: Extracting #4: cost 76 inf + 42757 118.516 * * [simplify]: Extracting #5: cost 12 inf + 64389 118.532 * * [simplify]: Extracting #6: cost 1 inf + 68057 118.554 * * [simplify]: Extracting #7: cost 0 inf + 68641 118.585 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 118.585 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 118.585 * * * * [progress]: [ 143 / 295 ] simplifiying candidate # 118.586 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))) 118.586 * * [simplify]: iters left: 6 (18 enodes) 118.597 * * [simplify]: iters left: 5 (83 enodes) 118.626 * * [simplify]: iters left: 4 (178 enodes) 118.696 * * [simplify]: iters left: 3 (355 enodes) 118.862 * * [simplify]: Extracting #0: cost 1 inf + 0 118.862 * * [simplify]: Extracting #1: cost 41 inf + 0 118.863 * * [simplify]: Extracting #2: cost 191 inf + 0 118.865 * * [simplify]: Extracting #3: cost 208 inf + 6844 118.874 * * [simplify]: Extracting #4: cost 76 inf + 42757 118.893 * * [simplify]: Extracting #5: cost 12 inf + 64389 118.909 * * [simplify]: Extracting #6: cost 1 inf + 68057 118.925 * * [simplify]: Extracting #7: cost 0 inf + 68641 118.941 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 118.941 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 118.941 * * * * [progress]: [ 144 / 295 ] simplifiying candidate # 118.941 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2)))))) 118.941 * * [simplify]: iters left: 6 (18 enodes) 118.950 * * [simplify]: iters left: 5 (84 enodes) 118.975 * * [simplify]: iters left: 4 (179 enodes) 119.021 * * [simplify]: iters left: 3 (381 enodes) 119.152 * * [simplify]: Extracting #0: cost 1 inf + 0 119.153 * * [simplify]: Extracting #1: cost 49 inf + 0 119.153 * * [simplify]: Extracting #2: cost 241 inf + 0 119.155 * * [simplify]: Extracting #3: cost 269 inf + 9397 119.173 * * [simplify]: Extracting #4: cost 124 inf + 55736 119.209 * * [simplify]: Extracting #5: cost 31 inf + 87268 119.249 * * [simplify]: Extracting #6: cost 2 inf + 98990 119.290 * * [simplify]: Extracting #7: cost 0 inf + 99520 119.327 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 119.327 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 119.327 * * * * [progress]: [ 145 / 295 ] simplifiying candidate # 119.328 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 119.328 * * [simplify]: iters left: 6 (17 enodes) 119.333 * * [simplify]: iters left: 5 (78 enodes) 119.348 * * [simplify]: iters left: 4 (169 enodes) 119.410 * * [simplify]: iters left: 3 (372 enodes) 119.572 * * [simplify]: Extracting #0: cost 1 inf + 0 119.573 * * [simplify]: Extracting #1: cost 50 inf + 0 119.574 * * [simplify]: Extracting #2: cost 220 inf + 0 119.578 * * [simplify]: Extracting #3: cost 244 inf + 13947 119.596 * * [simplify]: Extracting #4: cost 165 inf + 63386 119.633 * * [simplify]: Extracting #5: cost 54 inf + 105712 119.665 * * [simplify]: Extracting #6: cost 5 inf + 138130 119.689 * * [simplify]: Extracting #7: cost 0 inf + 139704 119.713 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 119.713 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 119.713 * * * * [progress]: [ 146 / 295 ] simplifiying candidate # 119.713 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (log (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 119.714 * * [simplify]: iters left: 6 (16 enodes) 119.718 * * [simplify]: iters left: 5 (73 enodes) 119.740 * * [simplify]: iters left: 4 (153 enodes) 119.777 * * [simplify]: iters left: 3 (337 enodes) 119.946 * * [simplify]: Extracting #0: cost 1 inf + 0 119.946 * * [simplify]: Extracting #1: cost 34 inf + 0 119.946 * * [simplify]: Extracting #2: cost 133 inf + 0 119.947 * * [simplify]: Extracting #3: cost 212 inf + 1478 119.950 * * [simplify]: Extracting #4: cost 218 inf + 17462 119.968 * * [simplify]: Extracting #5: cost 81 inf + 85999 120.005 * * [simplify]: Extracting #6: cost 0 inf + 134816 120.026 * * [simplify]: Extracting #7: cost 0 inf + 131859 120.053 * * [simplify]: Extracting #8: cost 0 inf + 131739 120.094 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (+ (log 2) (log PI))))) 120.094 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (+ (log 2) (log PI))))))) 120.094 * * * * [progress]: [ 147 / 295 ] simplifiying candidate # 120.094 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 120.095 * * [simplify]: iters left: 6 (18 enodes) 120.105 * * [simplify]: iters left: 5 (85 enodes) 120.137 * * [simplify]: iters left: 4 (186 enodes) 120.209 * * [simplify]: iters left: 3 (375 enodes) 120.392 * * [simplify]: Extracting #0: cost 1 inf + 0 120.392 * * [simplify]: Extracting #1: cost 46 inf + 0 120.393 * * [simplify]: Extracting #2: cost 188 inf + 0 120.395 * * [simplify]: Extracting #3: cost 197 inf + 7805 120.402 * * [simplify]: Extracting #4: cost 92 inf + 32118 120.416 * * [simplify]: Extracting #5: cost 10 inf + 61854 120.442 * * [simplify]: Extracting #6: cost 1 inf + 64955 120.472 * * [simplify]: Extracting #7: cost 0 inf + 65330 120.504 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 120.504 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 120.504 * * * * [progress]: [ 148 / 295 ] simplifiying candidate # 120.504 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 120.504 * * [simplify]: iters left: 6 (18 enodes) 120.509 * * [simplify]: iters left: 5 (85 enodes) 120.525 * * [simplify]: iters left: 4 (186 enodes) 120.588 * * [simplify]: iters left: 3 (375 enodes) 120.731 * * [simplify]: Extracting #0: cost 1 inf + 0 120.731 * * [simplify]: Extracting #1: cost 46 inf + 0 120.732 * * [simplify]: Extracting #2: cost 188 inf + 0 120.734 * * [simplify]: Extracting #3: cost 197 inf + 7805 120.740 * * [simplify]: Extracting #4: cost 92 inf + 32118 120.760 * * [simplify]: Extracting #5: cost 10 inf + 61854 120.791 * * [simplify]: Extracting #6: cost 1 inf + 64955 120.825 * * [simplify]: Extracting #7: cost 0 inf + 65330 120.855 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 120.855 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 120.856 * * * * [progress]: [ 149 / 295 ] simplifiying candidate # 120.856 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))) 120.856 * * [simplify]: iters left: 6 (18 enodes) 120.866 * * [simplify]: iters left: 5 (84 enodes) 120.895 * * [simplify]: iters left: 4 (174 enodes) 120.932 * * [simplify]: iters left: 3 (376 enodes) 121.110 * * [simplify]: Extracting #0: cost 1 inf + 0 121.110 * * [simplify]: Extracting #1: cost 52 inf + 0 121.111 * * [simplify]: Extracting #2: cost 238 inf + 0 121.113 * * [simplify]: Extracting #3: cost 250 inf + 8687 121.123 * * [simplify]: Extracting #4: cost 127 inf + 43373 121.156 * * [simplify]: Extracting #5: cost 35 inf + 76932 121.196 * * [simplify]: Extracting #6: cost 12 inf + 86499 121.233 * * [simplify]: Extracting #7: cost 0 inf + 93492 121.270 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 121.270 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 121.271 * * * * [progress]: [ 150 / 295 ] simplifiying candidate # 121.271 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 121.271 * * [simplify]: iters left: 6 (18 enodes) 121.281 * * [simplify]: iters left: 5 (85 enodes) 121.312 * * [simplify]: iters left: 4 (186 enodes) 121.371 * * [simplify]: iters left: 3 (375 enodes) 121.534 * * [simplify]: Extracting #0: cost 1 inf + 0 121.534 * * [simplify]: Extracting #1: cost 46 inf + 0 121.535 * * [simplify]: Extracting #2: cost 188 inf + 0 121.539 * * [simplify]: Extracting #3: cost 197 inf + 7805 121.552 * * [simplify]: Extracting #4: cost 92 inf + 32118 121.583 * * [simplify]: Extracting #5: cost 10 inf + 61854 121.613 * * [simplify]: Extracting #6: cost 1 inf + 64955 121.642 * * [simplify]: Extracting #7: cost 0 inf + 65330 121.672 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 121.673 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 121.673 * * * * [progress]: [ 151 / 295 ] simplifiying candidate # 121.673 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 121.673 * * [simplify]: iters left: 6 (18 enodes) 121.684 * * [simplify]: iters left: 5 (85 enodes) 121.715 * * [simplify]: iters left: 4 (186 enodes) 121.771 * * [simplify]: iters left: 3 (375 enodes) 121.915 * * [simplify]: Extracting #0: cost 1 inf + 0 121.915 * * [simplify]: Extracting #1: cost 46 inf + 0 121.915 * * [simplify]: Extracting #2: cost 188 inf + 0 121.917 * * [simplify]: Extracting #3: cost 197 inf + 7805 121.924 * * [simplify]: Extracting #4: cost 92 inf + 32118 121.953 * * [simplify]: Extracting #5: cost 10 inf + 61854 121.983 * * [simplify]: Extracting #6: cost 1 inf + 64955 122.011 * * [simplify]: Extracting #7: cost 0 inf + 65330 122.027 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 122.027 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 122.027 * * * * [progress]: [ 152 / 295 ] simplifiying candidate # 122.028 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))) 122.028 * * [simplify]: iters left: 6 (18 enodes) 122.034 * * [simplify]: iters left: 5 (84 enodes) 122.054 * * [simplify]: iters left: 4 (174 enodes) 122.091 * * [simplify]: iters left: 3 (376 enodes) 122.197 * * [simplify]: Extracting #0: cost 1 inf + 0 122.197 * * [simplify]: Extracting #1: cost 52 inf + 0 122.198 * * [simplify]: Extracting #2: cost 238 inf + 0 122.205 * * [simplify]: Extracting #3: cost 250 inf + 8687 122.213 * * [simplify]: Extracting #4: cost 127 inf + 43373 122.244 * * [simplify]: Extracting #5: cost 35 inf + 76932 122.279 * * [simplify]: Extracting #6: cost 12 inf + 86499 122.300 * * [simplify]: Extracting #7: cost 0 inf + 93492 122.326 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 122.326 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 122.327 * * * * [progress]: [ 153 / 295 ] simplifiying candidate # 122.327 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))) 122.327 * * [simplify]: iters left: 6 (18 enodes) 122.339 * * [simplify]: iters left: 5 (83 enodes) 122.369 * * [simplify]: iters left: 4 (178 enodes) 122.434 * * [simplify]: iters left: 3 (377 enodes) 122.575 * * [simplify]: Extracting #0: cost 1 inf + 0 122.576 * * [simplify]: Extracting #1: cost 50 inf + 0 122.576 * * [simplify]: Extracting #2: cost 233 inf + 0 122.578 * * [simplify]: Extracting #3: cost 247 inf + 9971 122.594 * * [simplify]: Extracting #4: cost 85 inf + 65741 122.631 * * [simplify]: Extracting #5: cost 13 inf + 88467 122.669 * * [simplify]: Extracting #6: cost 0 inf + 92701 122.712 * * [simplify]: Extracting #7: cost 0 inf + 92685 122.749 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 122.750 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 122.750 * * * * [progress]: [ 154 / 295 ] simplifiying candidate # 122.750 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))) 122.750 * * [simplify]: iters left: 6 (18 enodes) 122.761 * * [simplify]: iters left: 5 (83 enodes) 122.792 * * [simplify]: iters left: 4 (178 enodes) 122.836 * * [simplify]: iters left: 3 (377 enodes) 122.966 * * [simplify]: Extracting #0: cost 1 inf + 0 122.966 * * [simplify]: Extracting #1: cost 50 inf + 0 122.967 * * [simplify]: Extracting #2: cost 233 inf + 0 122.969 * * [simplify]: Extracting #3: cost 247 inf + 9971 122.981 * * [simplify]: Extracting #4: cost 85 inf + 65741 123.009 * * [simplify]: Extracting #5: cost 13 inf + 88467 123.047 * * [simplify]: Extracting #6: cost 0 inf + 92701 123.086 * * [simplify]: Extracting #7: cost 0 inf + 92685 123.124 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 123.124 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 123.124 * * * * [progress]: [ 155 / 295 ] simplifiying candidate # 123.124 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2)))))) 123.125 * * [simplify]: iters left: 6 (18 enodes) 123.133 * * [simplify]: iters left: 5 (84 enodes) 123.150 * * [simplify]: iters left: 4 (178 enodes) 123.189 * * [simplify]: iters left: 3 (400 enodes) 123.377 * * [simplify]: Extracting #0: cost 1 inf + 0 123.377 * * [simplify]: Extracting #1: cost 57 inf + 0 123.378 * * [simplify]: Extracting #2: cost 278 inf + 0 123.380 * * [simplify]: Extracting #3: cost 344 inf + 695 123.383 * * [simplify]: Extracting #4: cost 281 inf + 14252 123.395 * * [simplify]: Extracting #5: cost 163 inf + 51003 123.436 * * [simplify]: Extracting #6: cost 15 inf + 117322 123.476 * * [simplify]: Extracting #7: cost 0 inf + 124984 123.503 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 123.503 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 123.503 * * * * [progress]: [ 156 / 295 ] simplifiying candidate # 123.503 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 123.503 * * [simplify]: iters left: 6 (17 enodes) 123.508 * * [simplify]: iters left: 5 (78 enodes) 123.529 * * [simplify]: iters left: 4 (168 enodes) 123.592 * * [simplify]: iters left: 3 (390 enodes) 123.788 * * [simplify]: Extracting #0: cost 1 inf + 0 123.788 * * [simplify]: Extracting #1: cost 56 inf + 0 123.788 * * [simplify]: Extracting #2: cost 251 inf + 0 123.790 * * [simplify]: Extracting #3: cost 326 inf + 77 123.792 * * [simplify]: Extracting #4: cost 329 inf + 10950 123.807 * * [simplify]: Extracting #5: cost 169 inf + 69458 123.852 * * [simplify]: Extracting #6: cost 8 inf + 160956 123.904 * * [simplify]: Extracting #7: cost 0 inf + 162848 123.948 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 123.948 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 123.948 * * * * [progress]: [ 157 / 295 ] simplifiying candidate # 123.948 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (log (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 123.950 * * [simplify]: iters left: 6 (16 enodes) 123.955 * * [simplify]: iters left: 5 (73 enodes) 123.976 * * [simplify]: iters left: 4 (153 enodes) 124.008 * * [simplify]: iters left: 3 (352 enodes) 124.137 * * [simplify]: Extracting #0: cost 1 inf + 0 124.137 * * [simplify]: Extracting #1: cost 39 inf + 0 124.137 * * [simplify]: Extracting #2: cost 161 inf + 0 124.138 * * [simplify]: Extracting #3: cost 264 inf + 76 124.140 * * [simplify]: Extracting #4: cost 275 inf + 11205 124.148 * * [simplify]: Extracting #5: cost 161 inf + 58465 124.183 * * [simplify]: Extracting #6: cost 30 inf + 131597 124.219 * * [simplify]: Extracting #7: cost 0 inf + 148974 124.244 * * [simplify]: Extracting #8: cost 0 inf + 148380 124.282 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log n)) (- (log (sqrt k)) (* (/ (- 1 k) 2) (+ (log 2) (log PI))))) 124.282 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log n)) (- (log (sqrt k)) (* (/ (- 1 k) 2) (+ (log 2) (log PI))))))) 124.282 * * * * [progress]: [ 158 / 295 ] simplifiying candidate # 124.282 * * * * [progress]: [ 159 / 295 ] simplifiying candidate # 124.282 * * * * [progress]: [ 160 / 295 ] simplifiying candidate # 124.283 * [simplify]: Simplifying (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))))) 124.283 * * [simplify]: iters left: 6 (22 enodes) 124.297 * * [simplify]: iters left: 5 (103 enodes) 124.320 * * [simplify]: iters left: 4 (342 enodes) 124.581 * * [simplify]: Extracting #0: cost 1 inf + 0 124.582 * * [simplify]: Extracting #1: cost 206 inf + 0 124.584 * * [simplify]: Extracting #2: cost 693 inf + 123 124.587 * * [simplify]: Extracting #3: cost 754 inf + 249 124.591 * * [simplify]: Extracting #4: cost 749 inf + 916 124.604 * * [simplify]: Extracting #5: cost 524 inf + 155623 124.716 * * [simplify]: Extracting #6: cost 45 inf + 548511 124.824 * * [simplify]: Extracting #7: cost 0 inf + 569063 124.948 * * [simplify]: Extracting #8: cost 0 inf + 566527 125.042 * [simplify]: Simplified to (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (/ k (pow n (/ (- 1 k) 2)))))) 125.042 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (/ k (pow n (/ (- 1 k) 2)))))))) 125.042 * * * * [progress]: [ 161 / 295 ] simplifiying candidate # 125.043 * [simplify]: Simplifying (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 125.043 * * [simplify]: iters left: 6 (20 enodes) 125.051 * * [simplify]: iters left: 5 (99 enodes) 125.073 * * [simplify]: iters left: 4 (361 enodes) 125.487 * * [simplify]: Extracting #0: cost 1 inf + 0 125.487 * * [simplify]: Extracting #1: cost 179 inf + 0 125.489 * * [simplify]: Extracting #2: cost 776 inf + 1 125.496 * * [simplify]: Extracting #3: cost 877 inf + 249 125.504 * * [simplify]: Extracting #4: cost 871 inf + 917 125.527 * * [simplify]: Extracting #5: cost 698 inf + 104769 125.618 * * [simplify]: Extracting #6: cost 87 inf + 603580 125.792 * * [simplify]: Extracting #7: cost 0 inf + 674137 125.959 * * [simplify]: Extracting #8: cost 0 inf + 673351 126.113 * [simplify]: Simplified to (/ (* (/ (pow n (/ (- 1 k) 2)) (/ k (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 126.113 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (pow n (/ (- 1 k) 2)) (/ k (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 126.114 * * * * [progress]: [ 162 / 295 ] simplifiying candidate # 126.114 * [simplify]: Simplifying (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 126.114 * * [simplify]: iters left: 6 (18 enodes) 126.127 * * [simplify]: iters left: 5 (89 enodes) 126.154 * * [simplify]: iters left: 4 (275 enodes) 126.374 * * [simplify]: Extracting #0: cost 1 inf + 0 126.375 * * [simplify]: Extracting #1: cost 117 inf + 0 126.376 * * [simplify]: Extracting #2: cost 500 inf + 1 126.379 * * [simplify]: Extracting #3: cost 586 inf + 87 126.388 * * [simplify]: Extracting #4: cost 459 inf + 84181 126.442 * * [simplify]: Extracting #5: cost 153 inf + 325686 126.503 * * [simplify]: Extracting #6: cost 5 inf + 467640 126.589 * * [simplify]: Extracting #7: cost 0 inf + 463855 126.709 * * [simplify]: Extracting #8: cost 0 inf + 463695 126.785 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 126.785 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))))) 126.785 * * * * [progress]: [ 163 / 295 ] simplifiying candidate # 126.786 * * * * [progress]: [ 164 / 295 ] simplifiying candidate # 126.786 * * * * [progress]: [ 165 / 295 ] simplifiying candidate # 126.786 * * * * [progress]: [ 166 / 295 ] simplifiying candidate # 126.786 * * * * [progress]: [ 167 / 295 ] simplifiying candidate # 126.786 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 126.786 * * [simplify]: iters left: 6 (18 enodes) 126.791 * * [simplify]: iters left: 5 (74 enodes) 126.811 * * [simplify]: iters left: 4 (137 enodes) 126.856 * * [simplify]: iters left: 3 (280 enodes) 126.948 * * [simplify]: Extracting #0: cost 1 inf + 0 126.948 * * [simplify]: Extracting #1: cost 23 inf + 0 126.948 * * [simplify]: Extracting #2: cost 57 inf + 0 126.949 * * [simplify]: Extracting #3: cost 101 inf + 0 126.949 * * [simplify]: Extracting #4: cost 164 inf + 8 126.951 * * [simplify]: Extracting #5: cost 215 inf + 2692 126.957 * * [simplify]: Extracting #6: cost 145 inf + 28855 126.977 * * [simplify]: Extracting #7: cost 29 inf + 115851 126.994 * * [simplify]: Extracting #8: cost 0 inf + 146465 127.014 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 127.015 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 127.015 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 127.015 * * [simplify]: iters left: 6 (16 enodes) 127.019 * * [simplify]: iters left: 5 (66 enodes) 127.041 * * [simplify]: iters left: 4 (123 enodes) 127.082 * * [simplify]: iters left: 3 (254 enodes) 127.177 * * [simplify]: Extracting #0: cost 1 inf + 0 127.177 * * [simplify]: Extracting #1: cost 11 inf + 0 127.178 * * [simplify]: Extracting #2: cost 34 inf + 0 127.178 * * [simplify]: Extracting #3: cost 76 inf + 0 127.179 * * [simplify]: Extracting #4: cost 136 inf + 90 127.181 * * [simplify]: Extracting #5: cost 186 inf + 3208 127.198 * * [simplify]: Extracting #6: cost 66 inf + 65508 127.226 * * [simplify]: Extracting #7: cost 5 inf + 107230 127.256 * * [simplify]: Extracting #8: cost 0 inf + 109457 127.286 * * [simplify]: Extracting #9: cost 0 inf + 109377 127.313 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 127.313 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 127.314 * * * * [progress]: [ 168 / 295 ] simplifiying candidate # 127.314 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 127.314 * * [simplify]: iters left: 6 (17 enodes) 127.321 * * [simplify]: iters left: 5 (69 enodes) 127.334 * * [simplify]: iters left: 4 (126 enodes) 127.359 * * [simplify]: iters left: 3 (250 enodes) 127.492 * * [simplify]: Extracting #0: cost 1 inf + 0 127.492 * * [simplify]: Extracting #1: cost 11 inf + 0 127.492 * * [simplify]: Extracting #2: cost 34 inf + 0 127.492 * * [simplify]: Extracting #3: cost 77 inf + 0 127.493 * * [simplify]: Extracting #4: cost 137 inf + 8 127.494 * * [simplify]: Extracting #5: cost 191 inf + 1541 127.497 * * [simplify]: Extracting #6: cost 130 inf + 26743 127.510 * * [simplify]: Extracting #7: cost 17 inf + 101564 127.525 * * [simplify]: Extracting #8: cost 0 inf + 111496 127.552 * * [simplify]: Extracting #9: cost 0 inf + 110288 127.569 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 127.569 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 127.569 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 127.570 * * [simplify]: iters left: 6 (16 enodes) 127.574 * * [simplify]: iters left: 5 (66 enodes) 127.586 * * [simplify]: iters left: 4 (123 enodes) 127.610 * * [simplify]: iters left: 3 (254 enodes) 127.730 * * [simplify]: Extracting #0: cost 1 inf + 0 127.730 * * [simplify]: Extracting #1: cost 11 inf + 0 127.730 * * [simplify]: Extracting #2: cost 34 inf + 0 127.731 * * [simplify]: Extracting #3: cost 76 inf + 0 127.731 * * [simplify]: Extracting #4: cost 136 inf + 90 127.733 * * [simplify]: Extracting #5: cost 186 inf + 3208 127.747 * * [simplify]: Extracting #6: cost 66 inf + 65428 127.766 * * [simplify]: Extracting #7: cost 5 inf + 106710 127.788 * * [simplify]: Extracting #8: cost 0 inf + 108857 127.810 * * [simplify]: Extracting #9: cost 0 inf + 108777 127.826 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 127.826 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 127.826 * * * * [progress]: [ 169 / 295 ] simplifiying candidate # 127.826 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 127.826 * * [simplify]: iters left: 6 (15 enodes) 127.831 * * [simplify]: iters left: 5 (62 enodes) 127.850 * * [simplify]: iters left: 4 (117 enodes) 127.897 * * [simplify]: iters left: 3 (282 enodes) 128.034 * * [simplify]: Extracting #0: cost 1 inf + 0 128.035 * * [simplify]: Extracting #1: cost 74 inf + 0 128.036 * * [simplify]: Extracting #2: cost 235 inf + 0 128.038 * * [simplify]: Extracting #3: cost 277 inf + 2 128.041 * * [simplify]: Extracting #4: cost 256 inf + 3394 128.051 * * [simplify]: Extracting #5: cost 179 inf + 42768 128.094 * * [simplify]: Extracting #6: cost 20 inf + 169397 128.143 * * [simplify]: Extracting #7: cost 0 inf + 188305 128.189 * [simplify]: Simplified to (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)))) (cbrt (sqrt k))) 128.189 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)))) (cbrt (sqrt k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 128.190 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 128.190 * * [simplify]: iters left: 6 (14 enodes) 128.194 * * [simplify]: iters left: 5 (57 enodes) 128.205 * * [simplify]: iters left: 4 (100 enodes) 128.228 * * [simplify]: iters left: 3 (189 enodes) 128.286 * * [simplify]: Extracting #0: cost 1 inf + 0 128.287 * * [simplify]: Extracting #1: cost 38 inf + 0 128.287 * * [simplify]: Extracting #2: cost 129 inf + 0 128.288 * * [simplify]: Extracting #3: cost 165 inf + 2 128.289 * * [simplify]: Extracting #4: cost 153 inf + 918 128.293 * * [simplify]: Extracting #5: cost 98 inf + 17604 128.308 * * [simplify]: Extracting #6: cost 31 inf + 65620 128.329 * * [simplify]: Extracting #7: cost 1 inf + 88832 128.345 * * [simplify]: Extracting #8: cost 0 inf + 89172 128.356 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 128.356 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 128.357 * * * * [progress]: [ 170 / 295 ] simplifiying candidate # 128.357 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 128.357 * * [simplify]: iters left: 6 (15 enodes) 128.362 * * [simplify]: iters left: 5 (61 enodes) 128.383 * * [simplify]: iters left: 4 (104 enodes) 128.417 * * [simplify]: iters left: 3 (197 enodes) 128.483 * * [simplify]: Extracting #0: cost 1 inf + 0 128.483 * * [simplify]: Extracting #1: cost 38 inf + 0 128.483 * * [simplify]: Extracting #2: cost 130 inf + 0 128.484 * * [simplify]: Extracting #3: cost 165 inf + 2 128.484 * * [simplify]: Extracting #4: cost 163 inf + 215 128.486 * * [simplify]: Extracting #5: cost 116 inf + 11964 128.493 * * [simplify]: Extracting #6: cost 31 inf + 70084 128.505 * * [simplify]: Extracting #7: cost 0 inf + 94235 128.521 * * [simplify]: Extracting #8: cost 0 inf + 93575 128.543 * [simplify]: Simplified to (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 2))) 128.543 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 128.544 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 128.544 * * [simplify]: iters left: 6 (14 enodes) 128.552 * * [simplify]: iters left: 5 (57 enodes) 128.566 * * [simplify]: iters left: 4 (100 enodes) 128.587 * * [simplify]: iters left: 3 (189 enodes) 128.632 * * [simplify]: Extracting #0: cost 1 inf + 0 128.632 * * [simplify]: Extracting #1: cost 38 inf + 0 128.632 * * [simplify]: Extracting #2: cost 129 inf + 0 128.633 * * [simplify]: Extracting #3: cost 165 inf + 2 128.633 * * [simplify]: Extracting #4: cost 153 inf + 958 128.636 * * [simplify]: Extracting #5: cost 98 inf + 17684 128.644 * * [simplify]: Extracting #6: cost 31 inf + 65700 128.657 * * [simplify]: Extracting #7: cost 1 inf + 88912 128.673 * * [simplify]: Extracting #8: cost 0 inf + 89252 128.690 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 128.690 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 128.690 * * * * [progress]: [ 171 / 295 ] simplifiying candidate # 128.691 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 128.691 * * [simplify]: iters left: 6 (14 enodes) 128.695 * * [simplify]: iters left: 5 (57 enodes) 128.706 * * [simplify]: iters left: 4 (100 enodes) 128.728 * * [simplify]: iters left: 3 (189 enodes) 128.786 * * [simplify]: Extracting #0: cost 1 inf + 0 128.786 * * [simplify]: Extracting #1: cost 38 inf + 0 128.787 * * [simplify]: Extracting #2: cost 129 inf + 0 128.788 * * [simplify]: Extracting #3: cost 164 inf + 2 128.789 * * [simplify]: Extracting #4: cost 157 inf + 465 128.793 * * [simplify]: Extracting #5: cost 101 inf + 16085 128.810 * * [simplify]: Extracting #6: cost 21 inf + 72263 128.825 * * [simplify]: Extracting #7: cost 0 inf + 90392 128.837 * * [simplify]: Extracting #8: cost 0 inf + 90351 128.860 * [simplify]: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 128.860 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 128.861 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 128.861 * * [simplify]: iters left: 6 (14 enodes) 128.870 * * [simplify]: iters left: 5 (57 enodes) 128.892 * * [simplify]: iters left: 4 (100 enodes) 128.909 * * [simplify]: iters left: 3 (189 enodes) 128.957 * * [simplify]: Extracting #0: cost 1 inf + 0 128.957 * * [simplify]: Extracting #1: cost 38 inf + 0 128.957 * * [simplify]: Extracting #2: cost 129 inf + 0 128.960 * * [simplify]: Extracting #3: cost 165 inf + 2 128.961 * * [simplify]: Extracting #4: cost 153 inf + 878 128.963 * * [simplify]: Extracting #5: cost 98 inf + 17124 128.971 * * [simplify]: Extracting #6: cost 31 inf + 63860 128.984 * * [simplify]: Extracting #7: cost 1 inf + 86352 129.002 * * [simplify]: Extracting #8: cost 0 inf + 86652 129.013 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 129.013 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 129.013 * * * * [progress]: [ 172 / 295 ] simplifiying candidate # 129.014 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 129.014 * * [simplify]: iters left: 6 (13 enodes) 129.018 * * [simplify]: iters left: 5 (54 enodes) 129.027 * * [simplify]: iters left: 4 (92 enodes) 129.047 * * [simplify]: iters left: 3 (172 enodes) 129.091 * * [simplify]: iters left: 2 (454 enodes) 129.804 * * [simplify]: Extracting #0: cost 1 inf + 0 129.805 * * [simplify]: Extracting #1: cost 123 inf + 0 129.806 * * [simplify]: Extracting #2: cost 443 inf + 1 129.808 * * [simplify]: Extracting #3: cost 506 inf + 4 129.810 * * [simplify]: Extracting #4: cost 515 inf + 10 129.813 * * [simplify]: Extracting #5: cost 464 inf + 12421 129.821 * * [simplify]: Extracting #6: cost 368 inf + 61526 129.871 * * [simplify]: Extracting #7: cost 78 inf + 310343 129.971 * * [simplify]: Extracting #8: cost 3 inf + 376020 130.043 * * [simplify]: Extracting #9: cost 0 inf + 376173 130.125 * * [simplify]: Extracting #10: cost 0 inf + 376042 130.188 * [simplify]: Simplified to (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) 130.188 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 130.189 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 130.189 * * [simplify]: iters left: 6 (13 enodes) 130.196 * * [simplify]: iters left: 5 (54 enodes) 130.216 * * [simplify]: iters left: 4 (97 enodes) 130.249 * * [simplify]: iters left: 3 (190 enodes) 130.316 * * [simplify]: Extracting #0: cost 1 inf + 0 130.316 * * [simplify]: Extracting #1: cost 38 inf + 0 130.317 * * [simplify]: Extracting #2: cost 129 inf + 0 130.317 * * [simplify]: Extracting #3: cost 160 inf + 44 130.318 * * [simplify]: Extracting #4: cost 149 inf + 1376 130.320 * * [simplify]: Extracting #5: cost 105 inf + 15281 130.326 * * [simplify]: Extracting #6: cost 27 inf + 64747 130.343 * * [simplify]: Extracting #7: cost 0 inf + 84880 130.363 * * [simplify]: Extracting #8: cost 0 inf + 84226 130.374 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 130.375 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 130.375 * * * * [progress]: [ 173 / 295 ] simplifiying candidate # 130.375 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 130.375 * * [simplify]: iters left: 6 (14 enodes) 130.379 * * [simplify]: iters left: 5 (57 enodes) 130.392 * * [simplify]: iters left: 4 (100 enodes) 130.424 * * [simplify]: iters left: 3 (189 enodes) 130.509 * * [simplify]: Extracting #0: cost 1 inf + 0 130.509 * * [simplify]: Extracting #1: cost 38 inf + 0 130.510 * * [simplify]: Extracting #2: cost 129 inf + 0 130.511 * * [simplify]: Extracting #3: cost 164 inf + 2 130.512 * * [simplify]: Extracting #4: cost 157 inf + 465 130.517 * * [simplify]: Extracting #5: cost 101 inf + 16085 130.537 * * [simplify]: Extracting #6: cost 21 inf + 72263 130.560 * * [simplify]: Extracting #7: cost 0 inf + 90392 130.572 * * [simplify]: Extracting #8: cost 0 inf + 90351 130.585 * [simplify]: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 130.585 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 130.586 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 130.586 * * [simplify]: iters left: 6 (14 enodes) 130.593 * * [simplify]: iters left: 5 (57 enodes) 130.612 * * [simplify]: iters left: 4 (100 enodes) 130.633 * * [simplify]: iters left: 3 (189 enodes) 130.709 * * [simplify]: Extracting #0: cost 1 inf + 0 130.710 * * [simplify]: Extracting #1: cost 38 inf + 0 130.710 * * [simplify]: Extracting #2: cost 129 inf + 0 130.711 * * [simplify]: Extracting #3: cost 165 inf + 2 130.712 * * [simplify]: Extracting #4: cost 153 inf + 878 130.717 * * [simplify]: Extracting #5: cost 98 inf + 17124 130.732 * * [simplify]: Extracting #6: cost 31 inf + 63860 130.752 * * [simplify]: Extracting #7: cost 1 inf + 86352 130.772 * * [simplify]: Extracting #8: cost 0 inf + 86652 130.786 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 130.786 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 130.786 * * * * [progress]: [ 174 / 295 ] simplifiying candidate # 130.786 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 130.786 * * [simplify]: iters left: 6 (12 enodes) 130.791 * * [simplify]: iters left: 5 (51 enodes) 130.800 * * [simplify]: iters left: 4 (86 enodes) 130.822 * * [simplify]: iters left: 3 (176 enodes) 130.878 * * [simplify]: Extracting #0: cost 1 inf + 0 130.878 * * [simplify]: Extracting #1: cost 41 inf + 0 130.879 * * [simplify]: Extracting #2: cost 122 inf + 1 130.880 * * [simplify]: Extracting #3: cost 154 inf + 3 130.881 * * [simplify]: Extracting #4: cost 160 inf + 8 130.882 * * [simplify]: Extracting #5: cost 151 inf + 1250 130.886 * * [simplify]: Extracting #6: cost 102 inf + 14758 130.898 * * [simplify]: Extracting #7: cost 21 inf + 68341 130.908 * * [simplify]: Extracting #8: cost 0 inf + 84580 130.918 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) 130.918 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 130.918 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 130.918 * * [simplify]: iters left: 6 (13 enodes) 130.922 * * [simplify]: iters left: 5 (54 enodes) 130.940 * * [simplify]: iters left: 4 (97 enodes) 130.957 * * [simplify]: iters left: 3 (190 enodes) 131.012 * * [simplify]: Extracting #0: cost 1 inf + 0 131.012 * * [simplify]: Extracting #1: cost 38 inf + 0 131.013 * * [simplify]: Extracting #2: cost 129 inf + 0 131.013 * * [simplify]: Extracting #3: cost 160 inf + 44 131.014 * * [simplify]: Extracting #4: cost 149 inf + 1376 131.016 * * [simplify]: Extracting #5: cost 105 inf + 15281 131.024 * * [simplify]: Extracting #6: cost 27 inf + 64747 131.034 * * [simplify]: Extracting #7: cost 0 inf + 84880 131.045 * * [simplify]: Extracting #8: cost 0 inf + 84226 131.059 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 131.059 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 131.059 * * * * [progress]: [ 175 / 295 ] simplifiying candidate # 131.059 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 1) 131.060 * * [simplify]: iters left: 6 (10 enodes) 131.069 * * [simplify]: iters left: 5 (39 enodes) 131.082 * * [simplify]: iters left: 4 (62 enodes) 131.104 * * [simplify]: iters left: 3 (104 enodes) 131.130 * * [simplify]: iters left: 2 (209 enodes) 131.200 * * [simplify]: iters left: 1 (438 enodes) 131.411 * * [simplify]: Extracting #0: cost 1 inf + 0 131.411 * * [simplify]: Extracting #1: cost 51 inf + 0 131.412 * * [simplify]: Extracting #2: cost 162 inf + 2 131.413 * * [simplify]: Extracting #3: cost 213 inf + 7 131.414 * * [simplify]: Extracting #4: cost 194 inf + 1824 131.418 * * [simplify]: Extracting #5: cost 112 inf + 27352 131.440 * * [simplify]: Extracting #6: cost 12 inf + 101333 131.496 * * [simplify]: Extracting #7: cost 0 inf + 111373 131.539 * * [simplify]: Extracting #8: cost 0 inf + 111323 131.573 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) 131.573 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 131.574 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 131.574 * * [simplify]: iters left: 6 (15 enodes) 131.583 * * [simplify]: iters left: 5 (65 enodes) 131.599 * * [simplify]: iters left: 4 (135 enodes) 131.640 * * [simplify]: iters left: 3 (365 enodes) 131.907 * * [simplify]: Extracting #0: cost 1 inf + 0 131.908 * * [simplify]: Extracting #1: cost 104 inf + 0 131.909 * * [simplify]: Extracting #2: cost 405 inf + 0 131.911 * * [simplify]: Extracting #3: cost 447 inf + 86 131.914 * * [simplify]: Extracting #4: cost 393 inf + 21956 131.933 * * [simplify]: Extracting #5: cost 150 inf + 201345 132.002 * * [simplify]: Extracting #6: cost 7 inf + 327016 132.057 * * [simplify]: Extracting #7: cost 0 inf + 331723 132.117 * * [simplify]: Extracting #8: cost 0 inf + 331719 132.176 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) 132.176 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 1) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 132.176 * * * * [progress]: [ 176 / 295 ] simplifiying candidate # 132.177 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) 132.177 * * [simplify]: iters left: 6 (11 enodes) 132.180 * * [simplify]: iters left: 5 (44 enodes) 132.189 * * [simplify]: iters left: 4 (67 enodes) 132.203 * * [simplify]: iters left: 3 (109 enodes) 132.239 * * [simplify]: iters left: 2 (216 enodes) 132.292 * * [simplify]: iters left: 1 (454 enodes) 132.517 * * [simplify]: Extracting #0: cost 1 inf + 0 132.517 * * [simplify]: Extracting #1: cost 47 inf + 0 132.518 * * [simplify]: Extracting #2: cost 138 inf + 0 132.524 * * [simplify]: Extracting #3: cost 205 inf + 45 132.526 * * [simplify]: Extracting #4: cost 212 inf + 842 132.533 * * [simplify]: Extracting #5: cost 141 inf + 18781 132.552 * * [simplify]: Extracting #6: cost 19 inf + 110444 132.581 * * [simplify]: Extracting #7: cost 0 inf + 127149 132.604 * * [simplify]: Extracting #8: cost 0 inf + 126645 132.631 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) 132.631 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 132.632 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 132.632 * * [simplify]: iters left: 6 (14 enodes) 132.640 * * [simplify]: iters left: 5 (62 enodes) 132.657 * * [simplify]: iters left: 4 (128 enodes) 132.684 * * [simplify]: iters left: 3 (338 enodes) 132.956 * * [simplify]: Extracting #0: cost 1 inf + 0 132.956 * * [simplify]: Extracting #1: cost 99 inf + 0 132.958 * * [simplify]: Extracting #2: cost 335 inf + 1 132.961 * * [simplify]: Extracting #3: cost 377 inf + 4 132.964 * * [simplify]: Extracting #4: cost 376 inf + 172 132.976 * * [simplify]: Extracting #5: cost 253 inf + 64726 133.020 * * [simplify]: Extracting #6: cost 42 inf + 222894 133.076 * * [simplify]: Extracting #7: cost 0 inf + 258283 133.131 * * [simplify]: Extracting #8: cost 0 inf + 258152 133.167 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow (cbrt n) (/ (- 1 k) 2))) 133.167 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow (cbrt n) (/ (- 1 k) 2))))) 133.167 * * * * [progress]: [ 177 / 295 ] simplifiying candidate # 133.168 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) 133.168 * * [simplify]: iters left: 6 (17 enodes) 133.179 * * [simplify]: iters left: 5 (72 enodes) 133.213 * * [simplify]: iters left: 4 (162 enodes) 133.291 * * [simplify]: iters left: 3 (431 enodes) 133.527 * * [simplify]: Extracting #0: cost 1 inf + 0 133.527 * * [simplify]: Extracting #1: cost 97 inf + 0 133.528 * * [simplify]: Extracting #2: cost 390 inf + 0 133.530 * * [simplify]: Extracting #3: cost 412 inf + 2831 133.538 * * [simplify]: Extracting #4: cost 345 inf + 26223 133.556 * * [simplify]: Extracting #5: cost 170 inf + 132511 133.606 * * [simplify]: Extracting #6: cost 10 inf + 257938 133.663 * * [simplify]: Extracting #7: cost 0 inf + 266159 133.710 * [simplify]: Simplified to (* (sqrt 2) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt PI)))) 133.711 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt 2) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt PI)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 133.711 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 133.711 * * [simplify]: iters left: 6 (14 enodes) 133.716 * * [simplify]: iters left: 5 (60 enodes) 133.727 * * [simplify]: iters left: 4 (127 enodes) 133.768 * * [simplify]: iters left: 3 (375 enodes) 134.081 * * [simplify]: Extracting #0: cost 1 inf + 0 134.082 * * [simplify]: Extracting #1: cost 152 inf + 0 134.085 * * [simplify]: Extracting #2: cost 492 inf + 0 134.090 * * [simplify]: Extracting #3: cost 544 inf + 3 134.098 * * [simplify]: Extracting #4: cost 477 inf + 27812 134.125 * * [simplify]: Extracting #5: cost 203 inf + 250690 134.177 * * [simplify]: Extracting #6: cost 6 inf + 432876 134.232 * * [simplify]: Extracting #7: cost 0 inf + 433561 134.287 * * [simplify]: Extracting #8: cost 0 inf + 433263 134.352 * [simplify]: Simplified to (/ (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) (pow 2 (/ k 2))) 134.352 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt 2) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt PI)))) (/ (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) (pow 2 (/ k 2))))) 134.352 * * * * [progress]: [ 178 / 295 ] simplifiying candidate # 134.353 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) 134.353 * * [simplify]: iters left: 6 (17 enodes) 134.362 * * [simplify]: iters left: 5 (71 enodes) 134.388 * * [simplify]: iters left: 4 (150 enodes) 134.435 * * [simplify]: iters left: 3 (396 enodes) 134.737 * * [simplify]: Extracting #0: cost 1 inf + 0 134.738 * * [simplify]: Extracting #1: cost 104 inf + 0 134.740 * * [simplify]: Extracting #2: cost 412 inf + 0 134.744 * * [simplify]: Extracting #3: cost 443 inf + 969 134.749 * * [simplify]: Extracting #4: cost 395 inf + 22610 134.769 * * [simplify]: Extracting #5: cost 187 inf + 161694 134.832 * * [simplify]: Extracting #6: cost 13 inf + 310239 134.909 * * [simplify]: Extracting #7: cost 0 inf + 324542 134.982 * [simplify]: Simplified to (/ (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (/ (sqrt k) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)))) 134.982 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (/ (sqrt k) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))))) 134.983 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) 134.983 * * [simplify]: iters left: 6 (12 enodes) 134.990 * * [simplify]: iters left: 5 (49 enodes) 135.007 * * [simplify]: iters left: 4 (84 enodes) 135.034 * * [simplify]: iters left: 3 (174 enodes) 135.092 * * [simplify]: Extracting #0: cost 1 inf + 0 135.093 * * [simplify]: Extracting #1: cost 39 inf + 0 135.093 * * [simplify]: Extracting #2: cost 117 inf + 0 135.093 * * [simplify]: Extracting #3: cost 162 inf + 2 135.094 * * [simplify]: Extracting #4: cost 150 inf + 1472 135.096 * * [simplify]: Extracting #5: cost 93 inf + 16209 135.103 * * [simplify]: Extracting #6: cost 15 inf + 66768 135.112 * * [simplify]: Extracting #7: cost 0 inf + 79721 135.122 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) 135.122 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (/ (sqrt k) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))))) 135.122 * * * * [progress]: [ 179 / 295 ] simplifiying candidate # 135.123 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) 135.123 * * [simplify]: iters left: 6 (17 enodes) 135.134 * * [simplify]: iters left: 5 (72 enodes) 135.169 * * [simplify]: iters left: 4 (152 enodes) 135.219 * * [simplify]: iters left: 3 (396 enodes) 135.430 * * [simplify]: Extracting #0: cost 1 inf + 0 135.430 * * [simplify]: Extracting #1: cost 102 inf + 0 135.433 * * [simplify]: Extracting #2: cost 390 inf + 0 135.436 * * [simplify]: Extracting #3: cost 422 inf + 676 135.443 * * [simplify]: Extracting #4: cost 367 inf + 22209 135.457 * * [simplify]: Extracting #5: cost 199 inf + 128400 135.503 * * [simplify]: Extracting #6: cost 8 inf + 289384 135.551 * * [simplify]: Extracting #7: cost 0 inf + 296303 135.593 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) 135.593 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 135.594 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))) 135.594 * * [simplify]: iters left: 6 (11 enodes) 135.598 * * [simplify]: iters left: 5 (46 enodes) 135.606 * * [simplify]: iters left: 4 (81 enodes) 135.625 * * [simplify]: iters left: 3 (169 enodes) 135.680 * * [simplify]: iters left: 2 (495 enodes) 135.956 * * [simplify]: Extracting #0: cost 1 inf + 0 135.957 * * [simplify]: Extracting #1: cost 155 inf + 0 135.958 * * [simplify]: Extracting #2: cost 512 inf + 0 135.963 * * [simplify]: Extracting #3: cost 636 inf + 3 135.970 * * [simplify]: Extracting #4: cost 608 inf + 6768 135.986 * * [simplify]: Extracting #5: cost 493 inf + 60220 136.066 * * [simplify]: Extracting #6: cost 108 inf + 419488 136.154 * * [simplify]: Extracting #7: cost 0 inf + 507958 136.241 * * [simplify]: Extracting #8: cost 0 inf + 503406 136.341 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))) 136.342 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 136.342 * * * * [progress]: [ 180 / 295 ] simplifiying candidate # 136.342 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 136.342 * * [simplify]: iters left: 6 (17 enodes) 136.348 * * [simplify]: iters left: 5 (71 enodes) 136.369 * * [simplify]: iters left: 4 (130 enodes) 136.411 * * [simplify]: iters left: 3 (273 enodes) 136.514 * * [simplify]: Extracting #0: cost 1 inf + 0 136.514 * * [simplify]: Extracting #1: cost 23 inf + 0 136.514 * * [simplify]: Extracting #2: cost 57 inf + 0 136.515 * * [simplify]: Extracting #3: cost 102 inf + 0 136.515 * * [simplify]: Extracting #4: cost 161 inf + 50 136.516 * * [simplify]: Extracting #5: cost 217 inf + 1596 136.519 * * [simplify]: Extracting #6: cost 152 inf + 27699 136.532 * * [simplify]: Extracting #7: cost 29 inf + 119119 136.557 * * [simplify]: Extracting #8: cost 0 inf + 143908 136.575 * * [simplify]: Extracting #9: cost 0 inf + 143029 136.593 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (* (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))) 136.593 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (* (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 136.594 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 136.594 * * [simplify]: iters left: 6 (16 enodes) 136.598 * * [simplify]: iters left: 5 (66 enodes) 136.612 * * [simplify]: iters left: 4 (123 enodes) 136.657 * * [simplify]: iters left: 3 (254 enodes) 136.771 * * [simplify]: Extracting #0: cost 1 inf + 0 136.771 * * [simplify]: Extracting #1: cost 11 inf + 0 136.771 * * [simplify]: Extracting #2: cost 34 inf + 0 136.772 * * [simplify]: Extracting #3: cost 76 inf + 0 136.773 * * [simplify]: Extracting #4: cost 136 inf + 50 136.775 * * [simplify]: Extracting #5: cost 186 inf + 3048 136.788 * * [simplify]: Extracting #6: cost 66 inf + 64828 136.816 * * [simplify]: Extracting #7: cost 5 inf + 106030 136.845 * * [simplify]: Extracting #8: cost 0 inf + 108177 136.864 * * [simplify]: Extracting #9: cost 0 inf + 108097 136.886 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 136.886 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 136.886 * * * * [progress]: [ 181 / 295 ] simplifiying candidate # 136.886 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 136.887 * * [simplify]: iters left: 6 (16 enodes) 136.895 * * [simplify]: iters left: 5 (66 enodes) 136.907 * * [simplify]: iters left: 4 (123 enodes) 136.939 * * [simplify]: iters left: 3 (254 enodes) 137.039 * * [simplify]: Extracting #0: cost 1 inf + 0 137.039 * * [simplify]: Extracting #1: cost 11 inf + 0 137.039 * * [simplify]: Extracting #2: cost 34 inf + 0 137.039 * * [simplify]: Extracting #3: cost 76 inf + 0 137.039 * * [simplify]: Extracting #4: cost 136 inf + 50 137.040 * * [simplify]: Extracting #5: cost 186 inf + 3048 137.047 * * [simplify]: Extracting #6: cost 66 inf + 64748 137.061 * * [simplify]: Extracting #7: cost 5 inf + 105510 137.076 * * [simplify]: Extracting #8: cost 0 inf + 107577 137.097 * * [simplify]: Extracting #9: cost 0 inf + 107497 137.126 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 137.127 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 137.127 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 137.127 * * [simplify]: iters left: 6 (16 enodes) 137.136 * * [simplify]: iters left: 5 (66 enodes) 137.150 * * [simplify]: iters left: 4 (123 enodes) 137.181 * * [simplify]: iters left: 3 (254 enodes) 137.309 * * [simplify]: Extracting #0: cost 1 inf + 0 137.310 * * [simplify]: Extracting #1: cost 11 inf + 0 137.310 * * [simplify]: Extracting #2: cost 34 inf + 0 137.310 * * [simplify]: Extracting #3: cost 76 inf + 0 137.311 * * [simplify]: Extracting #4: cost 136 inf + 50 137.312 * * [simplify]: Extracting #5: cost 186 inf + 3048 137.325 * * [simplify]: Extracting #6: cost 66 inf + 64748 137.352 * * [simplify]: Extracting #7: cost 5 inf + 105510 137.382 * * [simplify]: Extracting #8: cost 0 inf + 107577 137.415 * * [simplify]: Extracting #9: cost 0 inf + 107497 137.444 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 137.444 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 137.445 * * * * [progress]: [ 182 / 295 ] simplifiying candidate # 137.445 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 137.445 * * [simplify]: iters left: 6 (14 enodes) 137.453 * * [simplify]: iters left: 5 (59 enodes) 137.476 * * [simplify]: iters left: 4 (114 enodes) 137.519 * * [simplify]: iters left: 3 (275 enodes) 137.630 * * [simplify]: Extracting #0: cost 1 inf + 0 137.630 * * [simplify]: Extracting #1: cost 74 inf + 0 137.631 * * [simplify]: Extracting #2: cost 236 inf + 0 137.631 * * [simplify]: Extracting #3: cost 279 inf + 2 137.633 * * [simplify]: Extracting #4: cost 237 inf + 11912 137.647 * * [simplify]: Extracting #5: cost 82 inf + 109047 137.679 * * [simplify]: Extracting #6: cost 1 inf + 175024 137.707 * * [simplify]: Extracting #7: cost 0 inf + 176056 137.745 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 137.745 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 137.745 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 137.745 * * [simplify]: iters left: 6 (14 enodes) 137.750 * * [simplify]: iters left: 5 (57 enodes) 137.760 * * [simplify]: iters left: 4 (100 enodes) 137.778 * * [simplify]: iters left: 3 (189 enodes) 137.843 * * [simplify]: Extracting #0: cost 1 inf + 0 137.843 * * [simplify]: Extracting #1: cost 38 inf + 0 137.843 * * [simplify]: Extracting #2: cost 129 inf + 0 137.844 * * [simplify]: Extracting #3: cost 165 inf + 2 137.846 * * [simplify]: Extracting #4: cost 153 inf + 838 137.850 * * [simplify]: Extracting #5: cost 98 inf + 16924 137.864 * * [simplify]: Extracting #6: cost 31 inf + 62780 137.886 * * [simplify]: Extracting #7: cost 1 inf + 84832 137.908 * * [simplify]: Extracting #8: cost 0 inf + 85132 137.929 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 137.929 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 137.930 * * * * [progress]: [ 183 / 295 ] simplifiying candidate # 137.930 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 137.930 * * [simplify]: iters left: 6 (14 enodes) 137.938 * * [simplify]: iters left: 5 (58 enodes) 137.963 * * [simplify]: iters left: 4 (101 enodes) 137.997 * * [simplify]: iters left: 3 (190 enodes) 138.071 * * [simplify]: iters left: 2 (495 enodes) 138.298 * * [simplify]: Extracting #0: cost 1 inf + 0 138.298 * * [simplify]: Extracting #1: cost 114 inf + 0 138.300 * * [simplify]: Extracting #2: cost 504 inf + 0 138.302 * * [simplify]: Extracting #3: cost 606 inf + 3 138.305 * * [simplify]: Extracting #4: cost 568 inf + 10942 138.324 * * [simplify]: Extracting #5: cost 360 inf + 145329 138.388 * * [simplify]: Extracting #6: cost 41 inf + 412657 138.494 * * [simplify]: Extracting #7: cost 0 inf + 444792 138.565 * * [simplify]: Extracting #8: cost 0 inf + 441624 138.640 * [simplify]: Simplified to (/ (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (fabs (cbrt k))) 138.640 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 138.641 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 138.641 * * [simplify]: iters left: 6 (14 enodes) 138.645 * * [simplify]: iters left: 5 (57 enodes) 138.656 * * [simplify]: iters left: 4 (100 enodes) 138.685 * * [simplify]: iters left: 3 (189 enodes) 138.750 * * [simplify]: Extracting #0: cost 1 inf + 0 138.750 * * [simplify]: Extracting #1: cost 38 inf + 0 138.751 * * [simplify]: Extracting #2: cost 129 inf + 0 138.751 * * [simplify]: Extracting #3: cost 165 inf + 2 138.752 * * [simplify]: Extracting #4: cost 153 inf + 878 138.754 * * [simplify]: Extracting #5: cost 98 inf + 17004 138.762 * * [simplify]: Extracting #6: cost 31 inf + 62860 138.773 * * [simplify]: Extracting #7: cost 1 inf + 84912 138.785 * * [simplify]: Extracting #8: cost 0 inf + 85212 138.806 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 138.807 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 138.807 * * * * [progress]: [ 184 / 295 ] simplifiying candidate # 138.807 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 138.807 * * [simplify]: iters left: 6 (13 enodes) 138.815 * * [simplify]: iters left: 5 (54 enodes) 138.834 * * [simplify]: iters left: 4 (97 enodes) 138.859 * * [simplify]: iters left: 3 (190 enodes) 138.912 * * [simplify]: Extracting #0: cost 1 inf + 0 138.912 * * [simplify]: Extracting #1: cost 38 inf + 0 138.913 * * [simplify]: Extracting #2: cost 129 inf + 0 138.913 * * [simplify]: Extracting #3: cost 163 inf + 2 138.914 * * [simplify]: Extracting #4: cost 151 inf + 1255 138.916 * * [simplify]: Extracting #5: cost 105 inf + 14568 138.925 * * [simplify]: Extracting #6: cost 37 inf + 55588 138.945 * * [simplify]: Extracting #7: cost 0 inf + 83538 138.968 * * [simplify]: Extracting #8: cost 0 inf + 82873 138.988 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 138.988 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 138.989 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 138.989 * * [simplify]: iters left: 6 (14 enodes) 138.997 * * [simplify]: iters left: 5 (57 enodes) 139.017 * * [simplify]: iters left: 4 (100 enodes) 139.051 * * [simplify]: iters left: 3 (189 enodes) 139.110 * * [simplify]: Extracting #0: cost 1 inf + 0 139.110 * * [simplify]: Extracting #1: cost 38 inf + 0 139.111 * * [simplify]: Extracting #2: cost 129 inf + 0 139.111 * * [simplify]: Extracting #3: cost 165 inf + 2 139.113 * * [simplify]: Extracting #4: cost 153 inf + 798 139.117 * * [simplify]: Extracting #5: cost 98 inf + 16444 139.131 * * [simplify]: Extracting #6: cost 31 inf + 61020 139.153 * * [simplify]: Extracting #7: cost 1 inf + 82352 139.172 * * [simplify]: Extracting #8: cost 0 inf + 82612 139.183 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 139.183 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 139.183 * * * * [progress]: [ 185 / 295 ] simplifiying candidate # 139.184 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 139.184 * * [simplify]: iters left: 6 (12 enodes) 139.188 * * [simplify]: iters left: 5 (51 enodes) 139.197 * * [simplify]: iters left: 4 (85 enodes) 139.226 * * [simplify]: iters left: 3 (163 enodes) 139.296 * * [simplify]: iters left: 2 (460 enodes) 139.601 * * [simplify]: Extracting #0: cost 1 inf + 0 139.601 * * [simplify]: Extracting #1: cost 123 inf + 0 139.604 * * [simplify]: Extracting #2: cost 449 inf + 1 139.607 * * [simplify]: Extracting #3: cost 512 inf + 4 139.611 * * [simplify]: Extracting #4: cost 516 inf + 93 139.617 * * [simplify]: Extracting #5: cost 467 inf + 14708 139.651 * * [simplify]: Extracting #6: cost 268 inf + 138351 139.729 * * [simplify]: Extracting #7: cost 11 inf + 340653 139.819 * * [simplify]: Extracting #8: cost 0 inf + 343426 139.865 * * [simplify]: Extracting #9: cost 0 inf + 342681 139.911 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) 139.911 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 139.911 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 139.912 * * [simplify]: iters left: 6 (13 enodes) 139.916 * * [simplify]: iters left: 5 (54 enodes) 139.928 * * [simplify]: iters left: 4 (97 enodes) 139.958 * * [simplify]: iters left: 3 (190 enodes) 140.022 * * [simplify]: Extracting #0: cost 1 inf + 0 140.023 * * [simplify]: Extracting #1: cost 38 inf + 0 140.023 * * [simplify]: Extracting #2: cost 129 inf + 0 140.024 * * [simplify]: Extracting #3: cost 160 inf + 44 140.026 * * [simplify]: Extracting #4: cost 149 inf + 1216 140.029 * * [simplify]: Extracting #5: cost 105 inf + 14441 140.042 * * [simplify]: Extracting #6: cost 27 inf + 61547 140.061 * * [simplify]: Extracting #7: cost 0 inf + 80840 140.080 * * [simplify]: Extracting #8: cost 0 inf + 80186 140.100 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 140.100 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 140.100 * * * * [progress]: [ 186 / 295 ] simplifiying candidate # 140.100 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 140.101 * * [simplify]: iters left: 6 (13 enodes) 140.105 * * [simplify]: iters left: 5 (54 enodes) 140.115 * * [simplify]: iters left: 4 (97 enodes) 140.136 * * [simplify]: iters left: 3 (190 enodes) 140.224 * * [simplify]: Extracting #0: cost 1 inf + 0 140.224 * * [simplify]: Extracting #1: cost 38 inf + 0 140.224 * * [simplify]: Extracting #2: cost 129 inf + 0 140.225 * * [simplify]: Extracting #3: cost 163 inf + 2 140.225 * * [simplify]: Extracting #4: cost 151 inf + 1255 140.227 * * [simplify]: Extracting #5: cost 105 inf + 14568 140.233 * * [simplify]: Extracting #6: cost 37 inf + 55588 140.243 * * [simplify]: Extracting #7: cost 0 inf + 83538 140.257 * * [simplify]: Extracting #8: cost 0 inf + 82873 140.279 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 140.279 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 140.279 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 140.280 * * [simplify]: iters left: 6 (14 enodes) 140.287 * * [simplify]: iters left: 5 (57 enodes) 140.307 * * [simplify]: iters left: 4 (100 enodes) 140.341 * * [simplify]: iters left: 3 (189 enodes) 140.406 * * [simplify]: Extracting #0: cost 1 inf + 0 140.406 * * [simplify]: Extracting #1: cost 38 inf + 0 140.406 * * [simplify]: Extracting #2: cost 129 inf + 0 140.407 * * [simplify]: Extracting #3: cost 165 inf + 2 140.408 * * [simplify]: Extracting #4: cost 153 inf + 798 140.410 * * [simplify]: Extracting #5: cost 98 inf + 16444 140.418 * * [simplify]: Extracting #6: cost 31 inf + 61020 140.429 * * [simplify]: Extracting #7: cost 1 inf + 82352 140.440 * * [simplify]: Extracting #8: cost 0 inf + 82612 140.451 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 140.451 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 140.452 * * * * [progress]: [ 187 / 295 ] simplifiying candidate # 140.452 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 140.452 * * [simplify]: iters left: 6 (11 enodes) 140.455 * * [simplify]: iters left: 5 (48 enodes) 140.469 * * [simplify]: iters left: 4 (83 enodes) 140.502 * * [simplify]: iters left: 3 (176 enodes) 140.556 * * [simplify]: Extracting #0: cost 1 inf + 0 140.557 * * [simplify]: Extracting #1: cost 41 inf + 0 140.557 * * [simplify]: Extracting #2: cost 123 inf + 1 140.557 * * [simplify]: Extracting #3: cost 156 inf + 3 140.558 * * [simplify]: Extracting #4: cost 157 inf + 91 140.559 * * [simplify]: Extracting #5: cost 149 inf + 1508 140.561 * * [simplify]: Extracting #6: cost 92 inf + 20668 140.569 * * [simplify]: Extracting #7: cost 14 inf + 68583 140.579 * * [simplify]: Extracting #8: cost 0 inf + 75955 140.592 * * [simplify]: Extracting #9: cost 0 inf + 75398 140.602 * [simplify]: Simplified to (* (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) 140.602 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 140.602 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 140.602 * * [simplify]: iters left: 6 (13 enodes) 140.606 * * [simplify]: iters left: 5 (54 enodes) 140.625 * * [simplify]: iters left: 4 (97 enodes) 140.645 * * [simplify]: iters left: 3 (190 enodes) 140.711 * * [simplify]: Extracting #0: cost 1 inf + 0 140.711 * * [simplify]: Extracting #1: cost 38 inf + 0 140.711 * * [simplify]: Extracting #2: cost 129 inf + 0 140.712 * * [simplify]: Extracting #3: cost 160 inf + 44 140.714 * * [simplify]: Extracting #4: cost 149 inf + 1216 140.717 * * [simplify]: Extracting #5: cost 105 inf + 14441 140.729 * * [simplify]: Extracting #6: cost 27 inf + 61547 140.749 * * [simplify]: Extracting #7: cost 0 inf + 80840 140.769 * * [simplify]: Extracting #8: cost 0 inf + 80186 140.788 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 140.788 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 140.788 * * * * [progress]: [ 188 / 295 ] simplifiying candidate # 140.788 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) 1) 140.788 * * [simplify]: iters left: 6 (9 enodes) 140.794 * * [simplify]: iters left: 5 (36 enodes) 140.807 * * [simplify]: iters left: 4 (59 enodes) 140.831 * * [simplify]: iters left: 3 (101 enodes) 140.856 * * [simplify]: iters left: 2 (209 enodes) 140.931 * * [simplify]: iters left: 1 (450 enodes) 141.179 * * [simplify]: Extracting #0: cost 1 inf + 0 141.180 * * [simplify]: Extracting #1: cost 49 inf + 0 141.181 * * [simplify]: Extracting #2: cost 162 inf + 2 141.183 * * [simplify]: Extracting #3: cost 218 inf + 91 141.185 * * [simplify]: Extracting #4: cost 195 inf + 1957 141.195 * * [simplify]: Extracting #5: cost 96 inf + 34036 141.223 * * [simplify]: Extracting #6: cost 17 inf + 88498 141.263 * * [simplify]: Extracting #7: cost 0 inf + 97275 141.300 * * [simplify]: Extracting #8: cost 0 inf + 96412 141.338 * [simplify]: Simplified to (pow (sqrt n) (* 1/2 (- 1 k))) 141.338 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt n) (* 1/2 (- 1 k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 141.338 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 141.339 * * [simplify]: iters left: 6 (15 enodes) 141.347 * * [simplify]: iters left: 5 (65 enodes) 141.359 * * [simplify]: iters left: 4 (135 enodes) 141.409 * * [simplify]: iters left: 3 (365 enodes) 141.661 * * [simplify]: Extracting #0: cost 1 inf + 0 141.661 * * [simplify]: Extracting #1: cost 104 inf + 0 141.662 * * [simplify]: Extracting #2: cost 405 inf + 0 141.664 * * [simplify]: Extracting #3: cost 447 inf + 86 141.668 * * [simplify]: Extracting #4: cost 393 inf + 21156 141.699 * * [simplify]: Extracting #5: cost 150 inf + 194985 141.753 * * [simplify]: Extracting #6: cost 7 inf + 316456 141.803 * * [simplify]: Extracting #7: cost 0 inf + 320883 141.880 * * [simplify]: Extracting #8: cost 0 inf + 320879 141.957 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) 141.958 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) 1) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 141.958 * * * * [progress]: [ 189 / 295 ] simplifiying candidate # 141.958 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k)) 141.958 * * [simplify]: iters left: 6 (10 enodes) 141.965 * * [simplify]: iters left: 5 (41 enodes) 141.979 * * [simplify]: iters left: 4 (64 enodes) 142.001 * * [simplify]: iters left: 3 (106 enodes) 142.032 * * [simplify]: iters left: 2 (210 enodes) 142.104 * * [simplify]: iters left: 1 (436 enodes) 142.319 * * [simplify]: Extracting #0: cost 1 inf + 0 142.320 * * [simplify]: Extracting #1: cost 43 inf + 0 142.320 * * [simplify]: Extracting #2: cost 131 inf + 0 142.321 * * [simplify]: Extracting #3: cost 204 inf + 45 142.322 * * [simplify]: Extracting #4: cost 200 inf + 1214 142.325 * * [simplify]: Extracting #5: cost 143 inf + 11578 142.335 * * [simplify]: Extracting #6: cost 49 inf + 70127 142.360 * * [simplify]: Extracting #7: cost 0 inf + 113113 142.383 * * [simplify]: Extracting #8: cost 0 inf + 110616 142.407 * * [simplify]: Extracting #9: cost 0 inf + 107446 142.430 * * [simplify]: Extracting #10: cost 0 inf + 106890 142.448 * [simplify]: Simplified to (/ (pow (sqrt n) (* 1/2 (- 1 k))) (sqrt k)) 142.449 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (* 1/2 (- 1 k))) (sqrt k)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 142.449 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 142.449 * * [simplify]: iters left: 6 (14 enodes) 142.457 * * [simplify]: iters left: 5 (62 enodes) 142.479 * * [simplify]: iters left: 4 (128 enodes) 142.508 * * [simplify]: iters left: 3 (338 enodes) 142.750 * * [simplify]: Extracting #0: cost 1 inf + 0 142.751 * * [simplify]: Extracting #1: cost 99 inf + 0 142.752 * * [simplify]: Extracting #2: cost 335 inf + 1 142.755 * * [simplify]: Extracting #3: cost 377 inf + 4 142.758 * * [simplify]: Extracting #4: cost 376 inf + 92 142.775 * * [simplify]: Extracting #5: cost 253 inf + 62646 142.805 * * [simplify]: Extracting #6: cost 42 inf + 215734 142.848 * * [simplify]: Extracting #7: cost 0 inf + 250243 142.897 * * [simplify]: Extracting #8: cost 0 inf + 250112 142.927 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) 142.927 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k)) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))))) 142.927 * * * * [progress]: [ 190 / 295 ] simplifiying candidate # 142.928 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) 142.928 * * [simplify]: iters left: 6 (16 enodes) 142.933 * * [simplify]: iters left: 5 (68 enodes) 142.958 * * [simplify]: iters left: 4 (150 enodes) 143.039 * * [simplify]: iters left: 3 (413 enodes) 143.425 * * [simplify]: Extracting #0: cost 1 inf + 0 143.426 * * [simplify]: Extracting #1: cost 102 inf + 0 143.428 * * [simplify]: Extracting #2: cost 403 inf + 0 143.431 * * [simplify]: Extracting #3: cost 428 inf + 2155 143.443 * * [simplify]: Extracting #4: cost 299 inf + 62925 143.491 * * [simplify]: Extracting #5: cost 35 inf + 234256 143.552 * * [simplify]: Extracting #6: cost 0 inf + 258513 143.607 * * [simplify]: Extracting #7: cost 0 inf + 258470 143.639 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (sqrt PI) (sqrt 2)))) 143.639 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (sqrt PI) (sqrt 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 143.640 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 143.640 * * [simplify]: iters left: 6 (14 enodes) 143.646 * * [simplify]: iters left: 5 (60 enodes) 143.667 * * [simplify]: iters left: 4 (127 enodes) 143.722 * * [simplify]: iters left: 3 (375 enodes) 144.077 * * [simplify]: Extracting #0: cost 1 inf + 0 144.078 * * [simplify]: Extracting #1: cost 152 inf + 0 144.081 * * [simplify]: Extracting #2: cost 492 inf + 0 144.085 * * [simplify]: Extracting #3: cost 544 inf + 3 144.093 * * [simplify]: Extracting #4: cost 477 inf + 26492 144.136 * * [simplify]: Extracting #5: cost 203 inf + 241050 144.200 * * [simplify]: Extracting #6: cost 6 inf + 417476 144.267 * * [simplify]: Extracting #7: cost 0 inf + 418001 144.331 * * [simplify]: Extracting #8: cost 0 inf + 417703 144.394 * [simplify]: Simplified to (/ (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) (pow 2 (/ k 2))) 144.394 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (sqrt PI) (sqrt 2)))) (/ (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) (pow 2 (/ k 2))))) 144.394 * * * * [progress]: [ 191 / 295 ] simplifiying candidate # 144.394 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) 144.394 * * [simplify]: iters left: 6 (16 enodes) 144.400 * * [simplify]: iters left: 5 (69 enodes) 144.423 * * [simplify]: iters left: 4 (146 enodes) 144.488 * * [simplify]: iters left: 3 (395 enodes) 144.770 * * [simplify]: Extracting #0: cost 1 inf + 0 144.770 * * [simplify]: Extracting #1: cost 97 inf + 0 144.772 * * [simplify]: Extracting #2: cost 386 inf + 0 144.773 * * [simplify]: Extracting #3: cost 419 inf + 798 144.779 * * [simplify]: Extracting #4: cost 329 inf + 48178 144.806 * * [simplify]: Extracting #5: cost 67 inf + 238447 144.867 * * [simplify]: Extracting #6: cost 1 inf + 282784 144.903 * * [simplify]: Extracting #7: cost 0 inf + 277974 144.948 * * [simplify]: Extracting #8: cost 0 inf + 277581 144.985 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) 144.985 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))))) 144.985 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) 144.985 * * [simplify]: iters left: 6 (12 enodes) 144.992 * * [simplify]: iters left: 5 (49 enodes) 145.009 * * [simplify]: iters left: 4 (84 enodes) 145.039 * * [simplify]: iters left: 3 (174 enodes) 145.098 * * [simplify]: Extracting #0: cost 1 inf + 0 145.098 * * [simplify]: Extracting #1: cost 39 inf + 0 145.099 * * [simplify]: Extracting #2: cost 117 inf + 0 145.100 * * [simplify]: Extracting #3: cost 162 inf + 2 145.101 * * [simplify]: Extracting #4: cost 150 inf + 1392 145.105 * * [simplify]: Extracting #5: cost 93 inf + 15449 145.117 * * [simplify]: Extracting #6: cost 15 inf + 63608 145.134 * * [simplify]: Extracting #7: cost 0 inf + 76041 145.151 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) 145.151 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))))) 145.151 * * * * [progress]: [ 192 / 295 ] simplifiying candidate # 145.151 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) 145.151 * * [simplify]: iters left: 6 (16 enodes) 145.160 * * [simplify]: iters left: 5 (68 enodes) 145.182 * * [simplify]: iters left: 4 (143 enodes) 145.236 * * [simplify]: iters left: 3 (397 enodes) 145.585 * * [simplify]: Extracting #0: cost 1 inf + 0 145.585 * * [simplify]: Extracting #1: cost 106 inf + 0 145.588 * * [simplify]: Extracting #2: cost 411 inf + 0 145.591 * * [simplify]: Extracting #3: cost 440 inf + 1888 145.605 * * [simplify]: Extracting #4: cost 324 inf + 70295 145.661 * * [simplify]: Extracting #5: cost 77 inf + 246984 145.710 * * [simplify]: Extracting #6: cost 1 inf + 302325 145.785 * * [simplify]: Extracting #7: cost 0 inf + 302316 145.856 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) 145.856 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 145.857 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))) 145.857 * * [simplify]: iters left: 6 (11 enodes) 145.863 * * [simplify]: iters left: 5 (46 enodes) 145.880 * * [simplify]: iters left: 4 (81 enodes) 145.910 * * [simplify]: iters left: 3 (169 enodes) 145.993 * * [simplify]: iters left: 2 (495 enodes) 146.414 * * [simplify]: Extracting #0: cost 1 inf + 0 146.415 * * [simplify]: Extracting #1: cost 155 inf + 0 146.418 * * [simplify]: Extracting #2: cost 512 inf + 0 146.423 * * [simplify]: Extracting #3: cost 636 inf + 3 146.430 * * [simplify]: Extracting #4: cost 608 inf + 6368 146.445 * * [simplify]: Extracting #5: cost 493 inf + 57420 146.506 * * [simplify]: Extracting #6: cost 108 inf + 402568 146.594 * * [simplify]: Extracting #7: cost 0 inf + 486958 146.670 * * [simplify]: Extracting #8: cost 0 inf + 482406 146.763 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))) 146.763 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 146.763 * * * * [progress]: [ 193 / 295 ] simplifiying candidate # 146.763 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 146.764 * * [simplify]: iters left: 6 (15 enodes) 146.773 * * [simplify]: iters left: 5 (61 enodes) 146.794 * * [simplify]: iters left: 4 (111 enodes) 146.834 * * [simplify]: iters left: 3 (228 enodes) 146.934 * * [simplify]: Extracting #0: cost 1 inf + 0 146.934 * * [simplify]: Extracting #1: cost 7 inf + 0 146.934 * * [simplify]: Extracting #2: cost 11 inf + 1 146.934 * * [simplify]: Extracting #3: cost 20 inf + 1 146.934 * * [simplify]: Extracting #4: cost 85 inf + 1 146.935 * * [simplify]: Extracting #5: cost 172 inf + 4 146.935 * * [simplify]: Extracting #6: cost 171 inf + 2009 146.939 * * [simplify]: Extracting #7: cost 93 inf + 34481 146.951 * * [simplify]: Extracting #8: cost 13 inf + 85670 146.968 * * [simplify]: Extracting #9: cost 0 inf + 93469 146.990 * * [simplify]: Extracting #10: cost 0 inf + 93274 147.008 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))) (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))))) 147.008 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))) (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 147.008 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 147.008 * * [simplify]: iters left: 6 (15 enodes) 147.013 * * [simplify]: iters left: 5 (63 enodes) 147.024 * * [simplify]: iters left: 4 (120 enodes) 147.046 * * [simplify]: iters left: 3 (251 enodes) 147.178 * * [simplify]: Extracting #0: cost 1 inf + 0 147.178 * * [simplify]: Extracting #1: cost 11 inf + 0 147.178 * * [simplify]: Extracting #2: cost 34 inf + 0 147.178 * * [simplify]: Extracting #3: cost 73 inf + 1 147.178 * * [simplify]: Extracting #4: cost 133 inf + 9 147.179 * * [simplify]: Extracting #5: cost 188 inf + 2176 147.182 * * [simplify]: Extracting #6: cost 114 inf + 30107 147.194 * * [simplify]: Extracting #7: cost 17 inf + 97537 147.219 * * [simplify]: Extracting #8: cost 0 inf + 112114 147.244 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 147.244 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))) (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))))) 147.245 * * * * [progress]: [ 194 / 295 ] simplifiying candidate # 147.245 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 147.246 * * [simplify]: iters left: 6 (14 enodes) 147.254 * * [simplify]: iters left: 5 (56 enodes) 147.275 * * [simplify]: iters left: 4 (106 enodes) 147.319 * * [simplify]: iters left: 3 (216 enodes) 147.433 * * [simplify]: Extracting #0: cost 1 inf + 0 147.433 * * [simplify]: Extracting #1: cost 4 inf + 0 147.433 * * [simplify]: Extracting #2: cost 5 inf + 1 147.433 * * [simplify]: Extracting #3: cost 14 inf + 1 147.433 * * [simplify]: Extracting #4: cost 79 inf + 1 147.434 * * [simplify]: Extracting #5: cost 166 inf + 4 147.434 * * [simplify]: Extracting #6: cost 169 inf + 1176 147.439 * * [simplify]: Extracting #7: cost 105 inf + 22694 147.454 * * [simplify]: Extracting #8: cost 15 inf + 82695 147.465 * * [simplify]: Extracting #9: cost 0 inf + 91758 147.476 * * [simplify]: Extracting #10: cost 0 inf + 91597 147.492 * [simplify]: Simplified to (/ 1 (sqrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 147.492 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 147.493 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 147.493 * * [simplify]: iters left: 6 (15 enodes) 147.501 * * [simplify]: iters left: 5 (63 enodes) 147.525 * * [simplify]: iters left: 4 (120 enodes) 147.546 * * [simplify]: iters left: 3 (251 enodes) 147.626 * * [simplify]: Extracting #0: cost 1 inf + 0 147.626 * * [simplify]: Extracting #1: cost 11 inf + 0 147.626 * * [simplify]: Extracting #2: cost 34 inf + 0 147.626 * * [simplify]: Extracting #3: cost 73 inf + 1 147.627 * * [simplify]: Extracting #4: cost 133 inf + 9 147.627 * * [simplify]: Extracting #5: cost 188 inf + 2176 147.631 * * [simplify]: Extracting #6: cost 114 inf + 30027 147.641 * * [simplify]: Extracting #7: cost 17 inf + 97017 147.654 * * [simplify]: Extracting #8: cost 0 inf + 111514 147.681 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 147.682 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))))) 147.682 * * * * [progress]: [ 195 / 295 ] simplifiying candidate # 147.682 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 147.682 * * [simplify]: iters left: 6 (12 enodes) 147.689 * * [simplify]: iters left: 5 (49 enodes) 147.707 * * [simplify]: iters left: 4 (96 enodes) 147.740 * * [simplify]: iters left: 3 (193 enodes) 147.832 * * [simplify]: iters left: 2 (471 enodes) 148.175 * * [simplify]: Extracting #0: cost 1 inf + 0 148.176 * * [simplify]: Extracting #1: cost 97 inf + 0 148.176 * * [simplify]: Extracting #2: cost 273 inf + 1 148.178 * * [simplify]: Extracting #3: cost 332 inf + 4 148.180 * * [simplify]: Extracting #4: cost 307 inf + 5329 148.187 * * [simplify]: Extracting #5: cost 189 inf + 54808 148.210 * * [simplify]: Extracting #6: cost 42 inf + 158139 148.259 * * [simplify]: Extracting #7: cost 0 inf + 188067 148.289 * * [simplify]: Extracting #8: cost 0 inf + 187906 148.337 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 148.337 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 148.338 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 148.338 * * [simplify]: iters left: 6 (13 enodes) 148.346 * * [simplify]: iters left: 5 (54 enodes) 148.364 * * [simplify]: iters left: 4 (97 enodes) 148.387 * * [simplify]: iters left: 3 (190 enodes) 148.462 * * [simplify]: Extracting #0: cost 1 inf + 0 148.462 * * [simplify]: Extracting #1: cost 38 inf + 0 148.463 * * [simplify]: Extracting #2: cost 128 inf + 0 148.463 * * [simplify]: Extracting #3: cost 160 inf + 3 148.465 * * [simplify]: Extracting #4: cost 150 inf + 1134 148.469 * * [simplify]: Extracting #5: cost 103 inf + 16779 148.482 * * [simplify]: Extracting #6: cost 17 inf + 68912 148.500 * * [simplify]: Extracting #7: cost 0 inf + 79691 148.509 * * [simplify]: Extracting #8: cost 0 inf + 79273 148.519 * * [simplify]: Extracting #9: cost 0 inf + 79272 148.528 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 148.530 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 148.531 * * * * [progress]: [ 196 / 295 ] simplifiying candidate # 148.531 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 148.531 * * [simplify]: iters left: 6 (12 enodes) 148.539 * * [simplify]: iters left: 5 (48 enodes) 148.556 * * [simplify]: iters left: 4 (84 enodes) 148.584 * * [simplify]: iters left: 3 (138 enodes) 148.632 * * [simplify]: iters left: 2 (290 enodes) 148.738 * * [simplify]: Extracting #0: cost 1 inf + 0 148.738 * * [simplify]: Extracting #1: cost 49 inf + 0 148.739 * * [simplify]: Extracting #2: cost 140 inf + 1 148.740 * * [simplify]: Extracting #3: cost 182 inf + 4 148.742 * * [simplify]: Extracting #4: cost 165 inf + 3384 148.747 * * [simplify]: Extracting #5: cost 109 inf + 17227 148.762 * * [simplify]: Extracting #6: cost 19 inf + 75042 148.773 * * [simplify]: Extracting #7: cost 0 inf + 86632 148.785 * * [simplify]: Extracting #8: cost 0 inf + 85789 148.797 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) 148.797 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 148.797 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 148.797 * * [simplify]: iters left: 6 (13 enodes) 148.801 * * [simplify]: iters left: 5 (54 enodes) 148.812 * * [simplify]: iters left: 4 (97 enodes) 148.842 * * [simplify]: iters left: 3 (190 enodes) 148.913 * * [simplify]: Extracting #0: cost 1 inf + 0 148.913 * * [simplify]: Extracting #1: cost 38 inf + 0 148.914 * * [simplify]: Extracting #2: cost 128 inf + 0 148.914 * * [simplify]: Extracting #3: cost 160 inf + 3 148.915 * * [simplify]: Extracting #4: cost 150 inf + 1174 148.917 * * [simplify]: Extracting #5: cost 103 inf + 16859 148.924 * * [simplify]: Extracting #6: cost 17 inf + 68992 148.942 * * [simplify]: Extracting #7: cost 0 inf + 79771 148.952 * * [simplify]: Extracting #8: cost 0 inf + 79353 148.961 * * [simplify]: Extracting #9: cost 0 inf + 79352 148.971 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 148.971 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 148.972 * * * * [progress]: [ 197 / 295 ] simplifiying candidate # 148.972 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 148.972 * * [simplify]: iters left: 6 (11 enodes) 148.976 * * [simplify]: iters left: 5 (44 enodes) 148.990 * * [simplify]: iters left: 4 (76 enodes) 149.013 * * [simplify]: iters left: 3 (135 enodes) 149.053 * * [simplify]: iters left: 2 (307 enodes) 149.170 * * [simplify]: Extracting #0: cost 1 inf + 0 149.170 * * [simplify]: Extracting #1: cost 45 inf + 0 149.171 * * [simplify]: Extracting #2: cost 140 inf + 1 149.171 * * [simplify]: Extracting #3: cost 181 inf + 4 149.173 * * [simplify]: Extracting #4: cost 162 inf + 3620 149.176 * * [simplify]: Extracting #5: cost 101 inf + 20194 149.190 * * [simplify]: Extracting #6: cost 13 inf + 74266 149.207 * * [simplify]: Extracting #7: cost 0 inf + 83599 149.219 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 149.219 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 149.219 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 149.219 * * [simplify]: iters left: 6 (13 enodes) 149.224 * * [simplify]: iters left: 5 (54 enodes) 149.237 * * [simplify]: iters left: 4 (97 enodes) 149.261 * * [simplify]: iters left: 3 (190 enodes) 149.320 * * [simplify]: Extracting #0: cost 1 inf + 0 149.320 * * [simplify]: Extracting #1: cost 38 inf + 0 149.321 * * [simplify]: Extracting #2: cost 128 inf + 0 149.321 * * [simplify]: Extracting #3: cost 160 inf + 3 149.323 * * [simplify]: Extracting #4: cost 150 inf + 1094 149.330 * * [simplify]: Extracting #5: cost 103 inf + 16179 149.343 * * [simplify]: Extracting #6: cost 17 inf + 66872 149.362 * * [simplify]: Extracting #7: cost 0 inf + 77171 149.380 * * [simplify]: Extracting #8: cost 0 inf + 76753 149.398 * * [simplify]: Extracting #9: cost 0 inf + 76752 149.416 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 149.416 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 149.416 * * * * [progress]: [ 198 / 295 ] simplifiying candidate # 149.417 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 149.417 * * [simplify]: iters left: 6 (10 enodes) 149.425 * * [simplify]: iters left: 5 (41 enodes) 149.440 * * [simplify]: iters left: 4 (68 enodes) 149.462 * * [simplify]: iters left: 3 (108 enodes) 149.503 * * [simplify]: iters left: 2 (201 enodes) 149.550 * * [simplify]: iters left: 1 (405 enodes) 149.774 * * [simplify]: Extracting #0: cost 1 inf + 0 149.774 * * [simplify]: Extracting #1: cost 45 inf + 0 149.775 * * [simplify]: Extracting #2: cost 171 inf + 3 149.776 * * [simplify]: Extracting #3: cost 225 inf + 7 149.779 * * [simplify]: Extracting #4: cost 201 inf + 2211 149.785 * * [simplify]: Extracting #5: cost 144 inf + 11311 149.803 * * [simplify]: Extracting #6: cost 48 inf + 73577 149.825 * * [simplify]: Extracting #7: cost 2 inf + 111768 149.850 * * [simplify]: Extracting #8: cost 0 inf + 111782 149.886 * * [simplify]: Extracting #9: cost 0 inf + 110651 149.923 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 149.923 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 149.923 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 149.924 * * [simplify]: iters left: 6 (12 enodes) 149.930 * * [simplify]: iters left: 5 (51 enodes) 149.948 * * [simplify]: iters left: 4 (90 enodes) 149.980 * * [simplify]: iters left: 3 (181 enodes) 150.061 * * [simplify]: Extracting #0: cost 1 inf + 0 150.061 * * [simplify]: Extracting #1: cost 38 inf + 0 150.061 * * [simplify]: Extracting #2: cost 127 inf + 0 150.062 * * [simplify]: Extracting #3: cost 156 inf + 45 150.062 * * [simplify]: Extracting #4: cost 149 inf + 1928 150.065 * * [simplify]: Extracting #5: cost 91 inf + 21734 150.073 * * [simplify]: Extracting #6: cost 7 inf + 71818 150.082 * * [simplify]: Extracting #7: cost 0 inf + 75903 150.091 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 150.091 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 150.091 * * * * [progress]: [ 199 / 295 ] simplifiying candidate # 150.091 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 150.091 * * [simplify]: iters left: 6 (11 enodes) 150.097 * * [simplify]: iters left: 5 (44 enodes) 150.105 * * [simplify]: iters left: 4 (76 enodes) 150.119 * * [simplify]: iters left: 3 (135 enodes) 150.165 * * [simplify]: iters left: 2 (307 enodes) 150.273 * * [simplify]: Extracting #0: cost 1 inf + 0 150.274 * * [simplify]: Extracting #1: cost 45 inf + 0 150.274 * * [simplify]: Extracting #2: cost 140 inf + 1 150.275 * * [simplify]: Extracting #3: cost 181 inf + 4 150.276 * * [simplify]: Extracting #4: cost 162 inf + 3620 150.279 * * [simplify]: Extracting #5: cost 101 inf + 20194 150.287 * * [simplify]: Extracting #6: cost 13 inf + 74266 150.299 * * [simplify]: Extracting #7: cost 0 inf + 83599 150.310 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 150.310 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 150.310 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 150.310 * * [simplify]: iters left: 6 (13 enodes) 150.314 * * [simplify]: iters left: 5 (54 enodes) 150.324 * * [simplify]: iters left: 4 (97 enodes) 150.346 * * [simplify]: iters left: 3 (190 enodes) 150.406 * * [simplify]: Extracting #0: cost 1 inf + 0 150.406 * * [simplify]: Extracting #1: cost 38 inf + 0 150.407 * * [simplify]: Extracting #2: cost 128 inf + 0 150.408 * * [simplify]: Extracting #3: cost 160 inf + 3 150.409 * * [simplify]: Extracting #4: cost 150 inf + 1094 150.413 * * [simplify]: Extracting #5: cost 103 inf + 16179 150.422 * * [simplify]: Extracting #6: cost 17 inf + 66872 150.432 * * [simplify]: Extracting #7: cost 0 inf + 77171 150.441 * * [simplify]: Extracting #8: cost 0 inf + 76753 150.455 * * [simplify]: Extracting #9: cost 0 inf + 76752 150.474 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 150.474 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 150.474 * * * * [progress]: [ 200 / 295 ] simplifiying candidate # 150.474 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 150.474 * * [simplify]: iters left: 6 (9 enodes) 150.481 * * [simplify]: iters left: 5 (38 enodes) 150.494 * * [simplify]: iters left: 4 (65 enodes) 150.515 * * [simplify]: iters left: 3 (105 enodes) 150.535 * * [simplify]: iters left: 2 (194 enodes) 150.611 * * [simplify]: iters left: 1 (398 enodes) 150.820 * * [simplify]: Extracting #0: cost 1 inf + 0 150.820 * * [simplify]: Extracting #1: cost 49 inf + 0 150.820 * * [simplify]: Extracting #2: cost 178 inf + 3 150.821 * * [simplify]: Extracting #3: cost 226 inf + 7 150.823 * * [simplify]: Extracting #4: cost 196 inf + 3416 150.829 * * [simplify]: Extracting #5: cost 149 inf + 11520 150.849 * * [simplify]: Extracting #6: cost 41 inf + 83737 150.882 * * [simplify]: Extracting #7: cost 0 inf + 117218 150.917 * * [simplify]: Extracting #8: cost 0 inf + 114824 150.941 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 150.941 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 150.942 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 150.942 * * [simplify]: iters left: 6 (12 enodes) 150.946 * * [simplify]: iters left: 5 (51 enodes) 150.956 * * [simplify]: iters left: 4 (90 enodes) 150.987 * * [simplify]: iters left: 3 (181 enodes) 151.045 * * [simplify]: Extracting #0: cost 1 inf + 0 151.045 * * [simplify]: Extracting #1: cost 38 inf + 0 151.045 * * [simplify]: Extracting #2: cost 127 inf + 0 151.046 * * [simplify]: Extracting #3: cost 156 inf + 45 151.046 * * [simplify]: Extracting #4: cost 149 inf + 1928 151.049 * * [simplify]: Extracting #5: cost 91 inf + 21734 151.057 * * [simplify]: Extracting #6: cost 7 inf + 71818 151.066 * * [simplify]: Extracting #7: cost 0 inf + 75903 151.082 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 151.082 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 151.082 * * * * [progress]: [ 201 / 295 ] simplifiying candidate # 151.082 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) 1) 151.082 * * [simplify]: iters left: 6 (7 enodes) 151.087 * * [simplify]: iters left: 5 (25 enodes) 151.094 * * [simplify]: iters left: 4 (34 enodes) 151.104 * * [simplify]: Extracting #0: cost 1 inf + 0 151.104 * * [simplify]: Extracting #1: cost 0 inf + 1 151.104 * [simplify]: Simplified to 1 151.104 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 151.105 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 151.105 * * [simplify]: iters left: 6 (14 enodes) 151.112 * * [simplify]: iters left: 5 (62 enodes) 151.132 * * [simplify]: iters left: 4 (132 enodes) 151.170 * * [simplify]: iters left: 3 (362 enodes) 151.442 * * [simplify]: Extracting #0: cost 1 inf + 0 151.442 * * [simplify]: Extracting #1: cost 106 inf + 0 151.443 * * [simplify]: Extracting #2: cost 407 inf + 0 151.445 * * [simplify]: Extracting #3: cost 444 inf + 87 151.450 * * [simplify]: Extracting #4: cost 344 inf + 49038 151.474 * * [simplify]: Extracting #5: cost 92 inf + 239473 151.531 * * [simplify]: Extracting #6: cost 2 inf + 321091 151.583 * * [simplify]: Extracting #7: cost 0 inf + 321622 151.661 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 151.662 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 151.662 * * * * [progress]: [ 202 / 295 ] simplifiying candidate # 151.662 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (sqrt k)) 151.662 * * [simplify]: iters left: 6 (8 enodes) 151.668 * * [simplify]: iters left: 5 (30 enodes) 151.678 * * [simplify]: iters left: 4 (39 enodes) 151.689 * * [simplify]: Extracting #0: cost 1 inf + 0 151.689 * * [simplify]: Extracting #1: cost 4 inf + 0 151.689 * * [simplify]: Extracting #2: cost 5 inf + 1 151.689 * * [simplify]: Extracting #3: cost 2 inf + 125 151.690 * * [simplify]: Extracting #4: cost 0 inf + 248 151.690 * [simplify]: Simplified to (/ 1 (sqrt k)) 151.690 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 151.690 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 151.690 * * [simplify]: iters left: 6 (13 enodes) 151.698 * * [simplify]: iters left: 5 (59 enodes) 151.721 * * [simplify]: iters left: 4 (125 enodes) 151.771 * * [simplify]: iters left: 3 (331 enodes) 151.994 * * [simplify]: Extracting #0: cost 1 inf + 0 151.995 * * [simplify]: Extracting #1: cost 102 inf + 0 151.996 * * [simplify]: Extracting #2: cost 347 inf + 1 151.999 * * [simplify]: Extracting #3: cost 387 inf + 5 152.002 * * [simplify]: Extracting #4: cost 388 inf + 10 152.012 * * [simplify]: Extracting #5: cost 286 inf + 47305 152.046 * * [simplify]: Extracting #6: cost 88 inf + 185653 152.085 * * [simplify]: Extracting #7: cost 2 inf + 252359 152.121 * * [simplify]: Extracting #8: cost 0 inf + 253873 152.149 * [simplify]: Simplified to (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) 152.149 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) 152.150 * * * * [progress]: [ 203 / 295 ] simplifiying candidate # 152.150 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) 152.150 * * [simplify]: iters left: 6 (14 enodes) 152.155 * * [simplify]: iters left: 5 (57 enodes) 152.174 * * [simplify]: iters left: 4 (124 enodes) 152.226 * * [simplify]: iters left: 3 (339 enodes) 152.499 * * [simplify]: Extracting #0: cost 1 inf + 0 152.500 * * [simplify]: Extracting #1: cost 87 inf + 0 152.502 * * [simplify]: Extracting #2: cost 250 inf + 1 152.505 * * [simplify]: Extracting #3: cost 236 inf + 2361 152.514 * * [simplify]: Extracting #4: cost 132 inf + 43471 152.535 * * [simplify]: Extracting #5: cost 4 inf + 112631 152.559 * * [simplify]: Extracting #6: cost 0 inf + 114639 152.582 * [simplify]: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt k)) 152.583 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 152.583 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 152.583 * * [simplify]: iters left: 6 (13 enodes) 152.591 * * [simplify]: iters left: 5 (57 enodes) 152.614 * * [simplify]: iters left: 4 (121 enodes) 152.661 * * [simplify]: iters left: 3 (370 enodes) 153.021 * * [simplify]: Extracting #0: cost 1 inf + 0 153.021 * * [simplify]: Extracting #1: cost 140 inf + 0 153.023 * * [simplify]: Extracting #2: cost 458 inf + 0 153.025 * * [simplify]: Extracting #3: cost 511 inf + 4 153.033 * * [simplify]: Extracting #4: cost 453 inf + 19095 153.063 * * [simplify]: Extracting #5: cost 227 inf + 180768 153.126 * * [simplify]: Extracting #6: cost 5 inf + 373893 153.177 * * [simplify]: Extracting #7: cost 0 inf + 374836 153.252 * * [simplify]: Extracting #8: cost 0 inf + 374671 153.312 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 153.312 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 153.312 * * * * [progress]: [ 204 / 295 ] simplifiying candidate # 153.312 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) 153.312 * * [simplify]: iters left: 6 (14 enodes) 153.317 * * [simplify]: iters left: 5 (58 enodes) 153.329 * * [simplify]: iters left: 4 (126 enodes) 153.382 * * [simplify]: iters left: 3 (348 enodes) 153.655 * * [simplify]: Extracting #0: cost 1 inf + 0 153.655 * * [simplify]: Extracting #1: cost 85 inf + 0 153.657 * * [simplify]: Extracting #2: cost 258 inf + 1 153.660 * * [simplify]: Extracting #3: cost 274 inf + 970 153.664 * * [simplify]: Extracting #4: cost 230 inf + 14563 153.680 * * [simplify]: Extracting #5: cost 116 inf + 72485 153.707 * * [simplify]: Extracting #6: cost 12 inf + 137385 153.726 * * [simplify]: Extracting #7: cost 0 inf + 145683 153.753 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (/ (sqrt k) (sqrt PI))) 153.753 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (/ (sqrt k) (sqrt PI))) (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))))) 153.753 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))) 153.753 * * [simplify]: iters left: 6 (11 enodes) 153.757 * * [simplify]: iters left: 5 (46 enodes) 153.766 * * [simplify]: iters left: 4 (84 enodes) 153.782 * * [simplify]: iters left: 3 (172 enodes) 153.836 * * [simplify]: iters left: 2 (485 enodes) 154.177 * * [simplify]: Extracting #0: cost 1 inf + 0 154.177 * * [simplify]: Extracting #1: cost 156 inf + 0 154.180 * * [simplify]: Extracting #2: cost 511 inf + 0 154.185 * * [simplify]: Extracting #3: cost 624 inf + 4 154.192 * * [simplify]: Extracting #4: cost 609 inf + 2808 154.205 * * [simplify]: Extracting #5: cost 414 inf + 109800 154.268 * * [simplify]: Extracting #6: cost 65 inf + 391561 154.364 * * [simplify]: Extracting #7: cost 0 inf + 436045 154.465 * * [simplify]: Extracting #8: cost 0 inf + 432504 154.538 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))) 154.538 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (/ (sqrt k) (sqrt PI))) (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))))) 154.538 * * * * [progress]: [ 205 / 295 ] simplifiying candidate # 154.538 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) 154.539 * * [simplify]: iters left: 6 (14 enodes) 154.543 * * [simplify]: iters left: 5 (58 enodes) 154.557 * * [simplify]: iters left: 4 (126 enodes) 154.625 * * [simplify]: iters left: 3 (339 enodes) 154.972 * * [simplify]: Extracting #0: cost 1 inf + 0 154.973 * * [simplify]: Extracting #1: cost 83 inf + 0 154.974 * * [simplify]: Extracting #2: cost 249 inf + 1 154.977 * * [simplify]: Extracting #3: cost 263 inf + 882 154.982 * * [simplify]: Extracting #4: cost 225 inf + 13467 154.997 * * [simplify]: Extracting #5: cost 93 inf + 79874 155.013 * * [simplify]: Extracting #6: cost 11 inf + 131280 155.041 * * [simplify]: Extracting #7: cost 0 inf + 138762 155.071 * * [simplify]: Extracting #8: cost 0 inf + 138169 155.089 * [simplify]: Simplified to (* (pow PI (/ (- 1 k) 2)) (/ (sqrt 2) (sqrt k))) 155.089 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (/ (sqrt 2) (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 155.089 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))) 155.089 * * [simplify]: iters left: 6 (10 enodes) 155.092 * * [simplify]: iters left: 5 (43 enodes) 155.102 * * [simplify]: iters left: 4 (81 enodes) 155.129 * * [simplify]: iters left: 3 (166 enodes) 155.179 * * [simplify]: iters left: 2 (477 enodes) 155.568 * * [simplify]: Extracting #0: cost 1 inf + 0 155.568 * * [simplify]: Extracting #1: cost 153 inf + 0 155.572 * * [simplify]: Extracting #2: cost 517 inf + 0 155.576 * * [simplify]: Extracting #3: cost 626 inf + 4 155.583 * * [simplify]: Extracting #4: cost 598 inf + 5199 155.597 * * [simplify]: Extracting #5: cost 484 inf + 53085 155.651 * * [simplify]: Extracting #6: cost 132 inf + 351519 155.750 * * [simplify]: Extracting #7: cost 0 inf + 466752 155.867 * * [simplify]: Extracting #8: cost 0 inf + 461459 155.938 * * [simplify]: Extracting #9: cost 0 inf + 461418 156.026 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))) 156.026 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (/ (sqrt 2) (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 156.026 * * * * [progress]: [ 206 / 295 ] simplifiying candidate # 156.026 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 156.026 * * [simplify]: iters left: 6 (18 enodes) 156.036 * * [simplify]: iters left: 5 (78 enodes) 156.053 * * [simplify]: iters left: 4 (144 enodes) 156.087 * * [simplify]: iters left: 3 (274 enodes) 156.189 * * [simplify]: Extracting #0: cost 1 inf + 0 156.189 * * [simplify]: Extracting #1: cost 11 inf + 0 156.189 * * [simplify]: Extracting #2: cost 22 inf + 0 156.189 * * [simplify]: Extracting #3: cost 41 inf + 0 156.190 * * [simplify]: Extracting #4: cost 127 inf + 1 156.191 * * [simplify]: Extracting #5: cost 213 inf + 48 156.194 * * [simplify]: Extracting #6: cost 174 inf + 12674 156.205 * * [simplify]: Extracting #7: cost 105 inf + 44183 156.227 * * [simplify]: Extracting #8: cost 13 inf + 103859 156.253 * * [simplify]: Extracting #9: cost 0 inf + 112641 156.279 * [simplify]: Simplified to (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 156.279 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 156.279 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 156.280 * * [simplify]: iters left: 6 (16 enodes) 156.291 * * [simplify]: iters left: 5 (66 enodes) 156.314 * * [simplify]: iters left: 4 (121 enodes) 156.339 * * [simplify]: iters left: 3 (246 enodes) 156.462 * * [simplify]: Extracting #0: cost 1 inf + 0 156.462 * * [simplify]: Extracting #1: cost 4 inf + 0 156.462 * * [simplify]: Extracting #2: cost 8 inf + 0 156.462 * * [simplify]: Extracting #3: cost 27 inf + 0 156.462 * * [simplify]: Extracting #4: cost 113 inf + 1 156.463 * * [simplify]: Extracting #5: cost 196 inf + 48 156.464 * * [simplify]: Extracting #6: cost 158 inf + 9327 156.470 * * [simplify]: Extracting #7: cost 78 inf + 48807 156.481 * * [simplify]: Extracting #8: cost 7 inf + 97975 156.509 * * [simplify]: Extracting #9: cost 0 inf + 101068 156.534 * * [simplify]: Extracting #10: cost 0 inf + 100527 156.559 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 156.559 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 156.559 * * * * [progress]: [ 207 / 295 ] simplifiying candidate # 156.560 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 156.560 * * [simplify]: iters left: 6 (17 enodes) 156.569 * * [simplify]: iters left: 5 (71 enodes) 156.593 * * [simplify]: iters left: 4 (126 enodes) 156.638 * * [simplify]: iters left: 3 (252 enodes) 156.761 * * [simplify]: Extracting #0: cost 1 inf + 0 156.762 * * [simplify]: Extracting #1: cost 7 inf + 0 156.762 * * [simplify]: Extracting #2: cost 14 inf + 0 156.762 * * [simplify]: Extracting #3: cost 33 inf + 0 156.762 * * [simplify]: Extracting #4: cost 119 inf + 1 156.764 * * [simplify]: Extracting #5: cost 199 inf + 1711 156.769 * * [simplify]: Extracting #6: cost 131 inf + 24174 156.787 * * [simplify]: Extracting #7: cost 43 inf + 78396 156.801 * * [simplify]: Extracting #8: cost 0 inf + 106806 156.822 * * [simplify]: Extracting #9: cost 0 inf + 102518 156.848 * * [simplify]: Extracting #10: cost 0 inf + 102395 156.875 * [simplify]: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 156.875 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 156.875 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 156.876 * * [simplify]: iters left: 6 (16 enodes) 156.887 * * [simplify]: iters left: 5 (66 enodes) 156.910 * * [simplify]: iters left: 4 (121 enodes) 156.943 * * [simplify]: iters left: 3 (246 enodes) 157.056 * * [simplify]: Extracting #0: cost 1 inf + 0 157.056 * * [simplify]: Extracting #1: cost 4 inf + 0 157.056 * * [simplify]: Extracting #2: cost 8 inf + 0 157.056 * * [simplify]: Extracting #3: cost 27 inf + 0 157.057 * * [simplify]: Extracting #4: cost 113 inf + 1 157.057 * * [simplify]: Extracting #5: cost 196 inf + 48 157.059 * * [simplify]: Extracting #6: cost 158 inf + 9247 157.064 * * [simplify]: Extracting #7: cost 78 inf + 48647 157.084 * * [simplify]: Extracting #8: cost 7 inf + 97815 157.105 * * [simplify]: Extracting #9: cost 0 inf + 100908 157.118 * * [simplify]: Extracting #10: cost 0 inf + 100367 157.131 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 157.131 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 157.131 * * * * [progress]: [ 208 / 295 ] simplifiying candidate # 157.131 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 157.131 * * [simplify]: iters left: 6 (15 enodes) 157.136 * * [simplify]: iters left: 5 (64 enodes) 157.152 * * [simplify]: iters left: 4 (125 enodes) 157.186 * * [simplify]: iters left: 3 (288 enodes) 157.637 * * [simplify]: Extracting #0: cost 1 inf + 0 157.638 * * [simplify]: Extracting #1: cost 54 inf + 0 157.638 * * [simplify]: Extracting #2: cost 170 inf + 0 157.639 * * [simplify]: Extracting #3: cost 210 inf + 2 157.641 * * [simplify]: Extracting #4: cost 167 inf + 21194 157.655 * * [simplify]: Extracting #5: cost 34 inf + 104365 157.687 * * [simplify]: Extracting #6: cost 0 inf + 129187 157.723 * * [simplify]: Extracting #7: cost 0 inf + 129029 157.762 * [simplify]: Simplified to (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (pow 2 (/ (- 1 k) 2))) 157.762 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 157.763 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 157.763 * * [simplify]: iters left: 6 (14 enodes) 157.771 * * [simplify]: iters left: 5 (57 enodes) 157.790 * * [simplify]: iters left: 4 (96 enodes) 157.822 * * [simplify]: iters left: 3 (159 enodes) 157.885 * * [simplify]: iters left: 2 (319 enodes) 157.991 * * [simplify]: Extracting #0: cost 1 inf + 0 157.991 * * [simplify]: Extracting #1: cost 49 inf + 0 157.991 * * [simplify]: Extracting #2: cost 151 inf + 0 157.992 * * [simplify]: Extracting #3: cost 210 inf + 3 157.993 * * [simplify]: Extracting #4: cost 204 inf + 7348 158.001 * * [simplify]: Extracting #5: cost 72 inf + 84014 158.029 * * [simplify]: Extracting #6: cost 3 inf + 141572 158.049 * * [simplify]: Extracting #7: cost 0 inf + 144004 158.065 * * [simplify]: Extracting #8: cost 0 inf + 143611 158.090 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 158.090 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 158.090 * * * * [progress]: [ 209 / 295 ] simplifiying candidate # 158.091 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 158.091 * * [simplify]: iters left: 6 (15 enodes) 158.099 * * [simplify]: iters left: 5 (63 enodes) 158.122 * * [simplify]: iters left: 4 (110 enodes) 158.146 * * [simplify]: iters left: 3 (195 enodes) 158.200 * * [simplify]: iters left: 2 (432 enodes) 158.402 * * [simplify]: Extracting #0: cost 1 inf + 0 158.402 * * [simplify]: Extracting #1: cost 87 inf + 0 158.403 * * [simplify]: Extracting #2: cost 303 inf + 0 158.409 * * [simplify]: Extracting #3: cost 379 inf + 3 158.412 * * [simplify]: Extracting #4: cost 355 inf + 15718 158.427 * * [simplify]: Extracting #5: cost 152 inf + 148057 158.464 * * [simplify]: Extracting #6: cost 4 inf + 263959 158.507 * * [simplify]: Extracting #7: cost 0 inf + 260895 158.545 * * [simplify]: Extracting #8: cost 0 inf + 259939 158.586 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) 158.586 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 158.587 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 158.587 * * [simplify]: iters left: 6 (14 enodes) 158.591 * * [simplify]: iters left: 5 (57 enodes) 158.605 * * [simplify]: iters left: 4 (96 enodes) 158.639 * * [simplify]: iters left: 3 (159 enodes) 158.672 * * [simplify]: iters left: 2 (319 enodes) 158.823 * * [simplify]: Extracting #0: cost 1 inf + 0 158.823 * * [simplify]: Extracting #1: cost 49 inf + 0 158.824 * * [simplify]: Extracting #2: cost 151 inf + 0 158.825 * * [simplify]: Extracting #3: cost 210 inf + 3 158.828 * * [simplify]: Extracting #4: cost 204 inf + 7388 158.843 * * [simplify]: Extracting #5: cost 72 inf + 84094 158.866 * * [simplify]: Extracting #6: cost 3 inf + 141652 158.886 * * [simplify]: Extracting #7: cost 0 inf + 144084 158.915 * * [simplify]: Extracting #8: cost 0 inf + 143691 158.947 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 158.947 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 158.948 * * * * [progress]: [ 210 / 295 ] simplifiying candidate # 158.948 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 158.948 * * [simplify]: iters left: 6 (14 enodes) 158.957 * * [simplify]: iters left: 5 (59 enodes) 158.977 * * [simplify]: iters left: 4 (106 enodes) 159.016 * * [simplify]: iters left: 3 (191 enodes) 159.076 * * [simplify]: iters left: 2 (432 enodes) 159.285 * * [simplify]: Extracting #0: cost 1 inf + 0 159.285 * * [simplify]: Extracting #1: cost 80 inf + 0 159.286 * * [simplify]: Extracting #2: cost 276 inf + 0 159.287 * * [simplify]: Extracting #3: cost 348 inf + 3 159.290 * * [simplify]: Extracting #4: cost 340 inf + 8803 159.295 * * [simplify]: Extracting #5: cost 277 inf + 36963 159.314 * * [simplify]: Extracting #6: cost 119 inf + 165521 159.377 * * [simplify]: Extracting #7: cost 17 inf + 253977 159.426 * * [simplify]: Extracting #8: cost 0 inf + 263749 159.476 * * [simplify]: Extracting #9: cost 0 inf + 261653 159.541 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 159.541 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 159.541 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 159.541 * * [simplify]: iters left: 6 (14 enodes) 159.549 * * [simplify]: iters left: 5 (57 enodes) 159.570 * * [simplify]: iters left: 4 (96 enodes) 159.602 * * [simplify]: iters left: 3 (159 enodes) 159.666 * * [simplify]: iters left: 2 (319 enodes) 159.788 * * [simplify]: Extracting #0: cost 1 inf + 0 159.788 * * [simplify]: Extracting #1: cost 49 inf + 0 159.789 * * [simplify]: Extracting #2: cost 151 inf + 0 159.790 * * [simplify]: Extracting #3: cost 210 inf + 3 159.793 * * [simplify]: Extracting #4: cost 204 inf + 7068 159.808 * * [simplify]: Extracting #5: cost 72 inf + 82254 159.837 * * [simplify]: Extracting #6: cost 3 inf + 138692 159.870 * * [simplify]: Extracting #7: cost 0 inf + 141044 159.903 * * [simplify]: Extracting #8: cost 0 inf + 140651 159.939 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 159.939 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 159.940 * * * * [progress]: [ 211 / 295 ] simplifiying candidate # 159.940 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 159.940 * * [simplify]: iters left: 6 (13 enodes) 159.948 * * [simplify]: iters left: 5 (56 enodes) 159.967 * * [simplify]: iters left: 4 (101 enodes) 159.985 * * [simplify]: iters left: 3 (193 enodes) 160.041 * * [simplify]: iters left: 2 (420 enodes) 160.245 * * [simplify]: Extracting #0: cost 1 inf + 0 160.246 * * [simplify]: Extracting #1: cost 102 inf + 0 160.248 * * [simplify]: Extracting #2: cost 300 inf + 1 160.250 * * [simplify]: Extracting #3: cost 343 inf + 4 160.253 * * [simplify]: Extracting #4: cost 374 inf + 11 160.265 * * [simplify]: Extracting #5: cost 318 inf + 16742 160.286 * * [simplify]: Extracting #6: cost 167 inf + 105182 160.339 * * [simplify]: Extracting #7: cost 6 inf + 235666 160.381 * * [simplify]: Extracting #8: cost 0 inf + 236919 160.436 * * [simplify]: Extracting #9: cost 0 inf + 236829 160.483 * [simplify]: Simplified to (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (pow 2 (/ (- 1 k) 2))) 160.483 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 160.483 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 160.484 * * [simplify]: iters left: 6 (13 enodes) 160.491 * * [simplify]: iters left: 5 (54 enodes) 160.510 * * [simplify]: iters left: 4 (93 enodes) 160.542 * * [simplify]: iters left: 3 (160 enodes) 160.582 * * [simplify]: iters left: 2 (322 enodes) 160.693 * * [simplify]: Extracting #0: cost 1 inf + 0 160.694 * * [simplify]: Extracting #1: cost 52 inf + 0 160.694 * * [simplify]: Extracting #2: cost 150 inf + 0 160.695 * * [simplify]: Extracting #3: cost 203 inf + 45 160.696 * * [simplify]: Extracting #4: cost 188 inf + 9769 160.704 * * [simplify]: Extracting #5: cost 68 inf + 76755 160.727 * * [simplify]: Extracting #6: cost 1 inf + 126582 160.759 * * [simplify]: Extracting #7: cost 0 inf + 125129 160.798 * * [simplify]: Extracting #8: cost 0 inf + 125049 160.821 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 160.821 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 160.821 * * * * [progress]: [ 212 / 295 ] simplifiying candidate # 160.821 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 160.821 * * [simplify]: iters left: 6 (14 enodes) 160.826 * * [simplify]: iters left: 5 (59 enodes) 160.837 * * [simplify]: iters left: 4 (106 enodes) 160.861 * * [simplify]: iters left: 3 (191 enodes) 160.930 * * [simplify]: iters left: 2 (432 enodes) 161.104 * * [simplify]: Extracting #0: cost 1 inf + 0 161.105 * * [simplify]: Extracting #1: cost 80 inf + 0 161.106 * * [simplify]: Extracting #2: cost 276 inf + 0 161.109 * * [simplify]: Extracting #3: cost 348 inf + 3 161.113 * * [simplify]: Extracting #4: cost 340 inf + 8803 161.123 * * [simplify]: Extracting #5: cost 277 inf + 36963 161.154 * * [simplify]: Extracting #6: cost 119 inf + 165521 161.184 * * [simplify]: Extracting #7: cost 17 inf + 253977 161.218 * * [simplify]: Extracting #8: cost 0 inf + 263749 161.260 * * [simplify]: Extracting #9: cost 0 inf + 261653 161.301 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 161.301 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 161.301 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 161.301 * * [simplify]: iters left: 6 (14 enodes) 161.309 * * [simplify]: iters left: 5 (57 enodes) 161.328 * * [simplify]: iters left: 4 (96 enodes) 161.360 * * [simplify]: iters left: 3 (159 enodes) 161.406 * * [simplify]: iters left: 2 (319 enodes) 161.518 * * [simplify]: Extracting #0: cost 1 inf + 0 161.518 * * [simplify]: Extracting #1: cost 49 inf + 0 161.518 * * [simplify]: Extracting #2: cost 151 inf + 0 161.519 * * [simplify]: Extracting #3: cost 210 inf + 3 161.520 * * [simplify]: Extracting #4: cost 204 inf + 7068 161.531 * * [simplify]: Extracting #5: cost 72 inf + 82254 161.547 * * [simplify]: Extracting #6: cost 3 inf + 138692 161.575 * * [simplify]: Extracting #7: cost 0 inf + 141044 161.607 * * [simplify]: Extracting #8: cost 0 inf + 140651 161.624 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 161.624 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 161.624 * * * * [progress]: [ 213 / 295 ] simplifiying candidate # 161.624 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (pow 2 (/ (- 1 k) 2)))) 161.625 * * [simplify]: iters left: 6 (12 enodes) 161.628 * * [simplify]: iters left: 5 (53 enodes) 161.639 * * [simplify]: iters left: 4 (92 enodes) 161.657 * * [simplify]: iters left: 3 (189 enodes) 161.701 * * [simplify]: iters left: 2 (439 enodes) 161.938 * * [simplify]: Extracting #0: cost 1 inf + 0 161.938 * * [simplify]: Extracting #1: cost 93 inf + 0 161.940 * * [simplify]: Extracting #2: cost 287 inf + 1 161.942 * * [simplify]: Extracting #3: cost 339 inf + 4 161.945 * * [simplify]: Extracting #4: cost 369 inf + 11 161.953 * * [simplify]: Extracting #5: cost 301 inf + 19371 161.982 * * [simplify]: Extracting #6: cost 120 inf + 130299 162.025 * * [simplify]: Extracting #7: cost 3 inf + 213704 162.059 * * [simplify]: Extracting #8: cost 0 inf + 213030 162.093 * * [simplify]: Extracting #9: cost 0 inf + 212526 162.134 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) 162.134 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 162.135 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 162.135 * * [simplify]: iters left: 6 (13 enodes) 162.139 * * [simplify]: iters left: 5 (54 enodes) 162.149 * * [simplify]: iters left: 4 (93 enodes) 162.178 * * [simplify]: iters left: 3 (160 enodes) 162.212 * * [simplify]: iters left: 2 (322 enodes) 162.362 * * [simplify]: Extracting #0: cost 1 inf + 0 162.362 * * [simplify]: Extracting #1: cost 52 inf + 0 162.363 * * [simplify]: Extracting #2: cost 150 inf + 0 162.364 * * [simplify]: Extracting #3: cost 203 inf + 45 162.365 * * [simplify]: Extracting #4: cost 188 inf + 9769 162.373 * * [simplify]: Extracting #5: cost 68 inf + 76755 162.394 * * [simplify]: Extracting #6: cost 1 inf + 126582 162.421 * * [simplify]: Extracting #7: cost 0 inf + 125129 162.438 * * [simplify]: Extracting #8: cost 0 inf + 125049 162.465 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 162.465 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 162.466 * * * * [progress]: [ 214 / 295 ] simplifiying candidate # 162.466 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 1) 162.466 * * [simplify]: iters left: 6 (10 enodes) 162.475 * * [simplify]: iters left: 5 (41 enodes) 162.491 * * [simplify]: iters left: 4 (74 enodes) 162.507 * * [simplify]: iters left: 3 (110 enodes) 162.526 * * [simplify]: iters left: 2 (183 enodes) 162.593 * * [simplify]: iters left: 1 (335 enodes) 162.708 * * [simplify]: Extracting #0: cost 1 inf + 0 162.709 * * [simplify]: Extracting #1: cost 5 inf + 0 162.709 * * [simplify]: Extracting #2: cost 7 inf + 1 162.709 * * [simplify]: Extracting #3: cost 28 inf + 1 162.709 * * [simplify]: Extracting #4: cost 89 inf + 3 162.710 * * [simplify]: Extracting #5: cost 129 inf + 8 162.710 * * [simplify]: Extracting #6: cost 122 inf + 680 162.713 * * [simplify]: Extracting #7: cost 54 inf + 16068 162.720 * * [simplify]: Extracting #8: cost 8 inf + 41702 162.735 * * [simplify]: Extracting #9: cost 0 inf + 48090 162.749 * [simplify]: Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 162.749 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 162.750 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 162.750 * * [simplify]: iters left: 6 (15 enodes) 162.758 * * [simplify]: iters left: 5 (65 enodes) 162.780 * * [simplify]: iters left: 4 (131 enodes) 162.826 * * [simplify]: iters left: 3 (325 enodes) 163.071 * * [simplify]: Extracting #0: cost 1 inf + 0 163.072 * * [simplify]: Extracting #1: cost 86 inf + 0 163.073 * * [simplify]: Extracting #2: cost 274 inf + 0 163.076 * * [simplify]: Extracting #3: cost 307 inf + 86 163.080 * * [simplify]: Extracting #4: cost 286 inf + 9637 163.106 * * [simplify]: Extracting #5: cost 141 inf + 101307 163.148 * * [simplify]: Extracting #6: cost 10 inf + 214194 163.178 * * [simplify]: Extracting #7: cost 0 inf + 222143 163.217 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) 163.217 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 163.217 * * * * [progress]: [ 215 / 295 ] simplifiying candidate # 163.217 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt k)) 163.217 * * [simplify]: iters left: 6 (11 enodes) 163.221 * * [simplify]: iters left: 5 (46 enodes) 163.231 * * [simplify]: iters left: 4 (75 enodes) 163.251 * * [simplify]: iters left: 3 (113 enodes) 163.277 * * [simplify]: iters left: 2 (186 enodes) 163.317 * * [simplify]: iters left: 1 (339 enodes) 163.461 * * [simplify]: Extracting #0: cost 1 inf + 0 163.461 * * [simplify]: Extracting #1: cost 7 inf + 0 163.461 * * [simplify]: Extracting #2: cost 14 inf + 0 163.462 * * [simplify]: Extracting #3: cost 33 inf + 83 163.462 * * [simplify]: Extracting #4: cost 97 inf + 85 163.462 * * [simplify]: Extracting #5: cost 130 inf + 215 163.464 * * [simplify]: Extracting #6: cost 86 inf + 6013 163.467 * * [simplify]: Extracting #7: cost 48 inf + 17859 163.474 * * [simplify]: Extracting #8: cost 11 inf + 43750 163.483 * * [simplify]: Extracting #9: cost 0 inf + 52314 163.491 * * [simplify]: Extracting #10: cost 0 inf + 51479 163.499 * [simplify]: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt k)) 163.499 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt k)) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 163.500 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 163.500 * * [simplify]: iters left: 6 (14 enodes) 163.507 * * [simplify]: iters left: 5 (62 enodes) 163.522 * * [simplify]: iters left: 4 (124 enodes) 163.558 * * [simplify]: iters left: 3 (291 enodes) 163.679 * * [simplify]: Extracting #0: cost 1 inf + 0 163.679 * * [simplify]: Extracting #1: cost 60 inf + 0 163.680 * * [simplify]: Extracting #2: cost 196 inf + 1 163.681 * * [simplify]: Extracting #3: cost 235 inf + 4 163.681 * * [simplify]: Extracting #4: cost 248 inf + 10 163.684 * * [simplify]: Extracting #5: cost 198 inf + 17671 163.695 * * [simplify]: Extracting #6: cost 41 inf + 113345 163.712 * * [simplify]: Extracting #7: cost 0 inf + 148513 163.730 * * [simplify]: Extracting #8: cost 0 inf + 148307 163.751 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 163.751 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt k)) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))) 163.751 * * * * [progress]: [ 216 / 295 ] simplifiying candidate # 163.751 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) 163.751 * * [simplify]: iters left: 6 (17 enodes) 163.757 * * [simplify]: iters left: 5 (74 enodes) 163.775 * * [simplify]: iters left: 4 (170 enodes) 163.853 * * [simplify]: iters left: 3 (457 enodes) 164.105 * * [simplify]: Extracting #0: cost 1 inf + 0 164.106 * * [simplify]: Extracting #1: cost 107 inf + 0 164.108 * * [simplify]: Extracting #2: cost 374 inf + 0 164.111 * * [simplify]: Extracting #3: cost 373 inf + 2377 164.117 * * [simplify]: Extracting #4: cost 350 inf + 20751 164.127 * * [simplify]: Extracting #5: cost 293 inf + 55556 164.151 * * [simplify]: Extracting #6: cost 155 inf + 141957 164.186 * * [simplify]: Extracting #7: cost 15 inf + 246767 164.220 * * [simplify]: Extracting #8: cost 0 inf + 259125 164.261 * [simplify]: Simplified to (* (sqrt PI) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt 2)))) 164.261 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 164.261 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 164.262 * * [simplify]: iters left: 6 (14 enodes) 164.266 * * [simplify]: iters left: 5 (60 enodes) 164.279 * * [simplify]: iters left: 4 (117 enodes) 164.316 * * [simplify]: iters left: 3 (251 enodes) 164.393 * * [simplify]: Extracting #0: cost 1 inf + 0 164.393 * * [simplify]: Extracting #1: cost 10 inf + 0 164.393 * * [simplify]: Extracting #2: cost 75 inf + 0 164.393 * * [simplify]: Extracting #3: cost 170 inf + 2 164.394 * * [simplify]: Extracting #4: cost 185 inf + 1099 164.397 * * [simplify]: Extracting #5: cost 141 inf + 17978 164.404 * * [simplify]: Extracting #6: cost 30 inf + 84352 164.415 * * [simplify]: Extracting #7: cost 0 inf + 102068 164.437 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))) 164.437 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))))) 164.437 * * * * [progress]: [ 217 / 295 ] simplifiying candidate # 164.438 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) 164.438 * * [simplify]: iters left: 6 (17 enodes) 164.448 * * [simplify]: iters left: 5 (73 enodes) 164.477 * * [simplify]: iters left: 4 (158 enodes) 164.547 * * [simplify]: iters left: 3 (417 enodes) 164.818 * * [simplify]: Extracting #0: cost 1 inf + 0 164.818 * * [simplify]: Extracting #1: cost 114 inf + 0 164.819 * * [simplify]: Extracting #2: cost 392 inf + 0 164.826 * * [simplify]: Extracting #3: cost 418 inf + 513 164.840 * * [simplify]: Extracting #4: cost 300 inf + 70352 164.869 * * [simplify]: Extracting #5: cost 43 inf + 275794 164.914 * * [simplify]: Extracting #6: cost 0 inf + 308716 164.968 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) 164.968 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (pow PI (/ k 2))))) 164.969 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (pow PI (/ k 2))) 164.969 * * [simplify]: iters left: 6 (12 enodes) 164.976 * * [simplify]: iters left: 5 (49 enodes) 164.993 * * [simplify]: iters left: 4 (83 enodes) 165.021 * * [simplify]: iters left: 3 (146 enodes) 165.060 * * [simplify]: iters left: 2 (278 enodes) 165.133 * * [simplify]: Extracting #0: cost 1 inf + 0 165.133 * * [simplify]: Extracting #1: cost 6 inf + 0 165.133 * * [simplify]: Extracting #2: cost 28 inf + 0 165.133 * * [simplify]: Extracting #3: cost 93 inf + 2 165.133 * * [simplify]: Extracting #4: cost 128 inf + 597 165.135 * * [simplify]: Extracting #5: cost 110 inf + 6317 165.142 * * [simplify]: Extracting #6: cost 41 inf + 32617 165.154 * * [simplify]: Extracting #7: cost 3 inf + 50794 165.167 * * [simplify]: Extracting #8: cost 0 inf + 52561 165.174 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (pow PI (* 1/2 k))) 165.174 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (pow PI (* 1/2 k))))) 165.175 * * * * [progress]: [ 218 / 295 ] simplifiying candidate # 165.175 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) 165.175 * * [simplify]: iters left: 6 (17 enodes) 165.185 * * [simplify]: iters left: 5 (74 enodes) 165.211 * * [simplify]: iters left: 4 (160 enodes) 165.276 * * [simplify]: iters left: 3 (420 enodes) 165.534 * * [simplify]: Extracting #0: cost 1 inf + 0 165.535 * * [simplify]: Extracting #1: cost 106 inf + 0 165.537 * * [simplify]: Extracting #2: cost 373 inf + 0 165.541 * * [simplify]: Extracting #3: cost 398 inf + 1563 165.552 * * [simplify]: Extracting #4: cost 316 inf + 51902 165.596 * * [simplify]: Extracting #5: cost 119 inf + 201537 165.664 * * [simplify]: Extracting #6: cost 4 inf + 291661 165.712 * * [simplify]: Extracting #7: cost 0 inf + 290898 165.772 * * [simplify]: Extracting #8: cost 0 inf + 290542 165.824 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) 165.824 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))))) 165.825 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))) 165.825 * * [simplify]: iters left: 6 (11 enodes) 165.833 * * [simplify]: iters left: 5 (46 enodes) 165.850 * * [simplify]: iters left: 4 (80 enodes) 165.877 * * [simplify]: iters left: 3 (140 enodes) 165.926 * * [simplify]: iters left: 2 (270 enodes) 165.986 * * [simplify]: Extracting #0: cost 1 inf + 0 165.987 * * [simplify]: Extracting #1: cost 6 inf + 0 165.987 * * [simplify]: Extracting #2: cost 27 inf + 0 165.987 * * [simplify]: Extracting #3: cost 88 inf + 2 165.987 * * [simplify]: Extracting #4: cost 120 inf + 1425 165.989 * * [simplify]: Extracting #5: cost 102 inf + 10960 165.993 * * [simplify]: Extracting #6: cost 45 inf + 29859 165.998 * * [simplify]: Extracting #7: cost 18 inf + 41872 166.006 * * [simplify]: Extracting #8: cost 1 inf + 52674 166.019 * * [simplify]: Extracting #9: cost 0 inf + 53339 166.031 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))) 166.032 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))))) 166.032 * * * * [progress]: [ 219 / 295 ] simplifiying candidate # 166.032 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 166.032 * * [simplify]: iters left: 6 (17 enodes) 166.042 * * [simplify]: iters left: 5 (71 enodes) 166.070 * * [simplify]: iters left: 4 (125 enodes) 166.114 * * [simplify]: iters left: 3 (245 enodes) 166.236 * * [simplify]: Extracting #0: cost 1 inf + 0 166.236 * * [simplify]: Extracting #1: cost 6 inf + 0 166.236 * * [simplify]: Extracting #2: cost 13 inf + 0 166.237 * * [simplify]: Extracting #3: cost 37 inf + 0 166.237 * * [simplify]: Extracting #4: cost 124 inf + 1 166.239 * * [simplify]: Extracting #5: cost 184 inf + 2141 166.245 * * [simplify]: Extracting #6: cost 95 inf + 42431 166.257 * * [simplify]: Extracting #7: cost 8 inf + 99277 166.272 * * [simplify]: Extracting #8: cost 0 inf + 102977 166.291 * * [simplify]: Extracting #9: cost 0 inf + 102646 166.313 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))) 166.313 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 166.314 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 166.314 * * [simplify]: iters left: 6 (16 enodes) 166.318 * * [simplify]: iters left: 5 (66 enodes) 166.330 * * [simplify]: iters left: 4 (122 enodes) 166.354 * * [simplify]: iters left: 3 (244 enodes) 166.495 * * [simplify]: Extracting #0: cost 1 inf + 0 166.495 * * [simplify]: Extracting #1: cost 4 inf + 0 166.495 * * [simplify]: Extracting #2: cost 9 inf + 0 166.495 * * [simplify]: Extracting #3: cost 33 inf + 0 166.495 * * [simplify]: Extracting #4: cost 119 inf + 1 166.496 * * [simplify]: Extracting #5: cost 179 inf + 2725 166.500 * * [simplify]: Extracting #6: cost 96 inf + 40150 166.511 * * [simplify]: Extracting #7: cost 6 inf + 95373 166.531 * * [simplify]: Extracting #8: cost 0 inf + 99292 166.553 * * [simplify]: Extracting #9: cost 0 inf + 98255 166.576 * * [simplify]: Extracting #10: cost 0 inf + 98216 166.598 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 166.598 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 166.599 * * * * [progress]: [ 220 / 295 ] simplifiying candidate # 166.599 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 166.599 * * [simplify]: iters left: 6 (16 enodes) 166.608 * * [simplify]: iters left: 5 (66 enodes) 166.621 * * [simplify]: iters left: 4 (122 enodes) 166.650 * * [simplify]: iters left: 3 (244 enodes) 166.803 * * [simplify]: Extracting #0: cost 1 inf + 0 166.803 * * [simplify]: Extracting #1: cost 4 inf + 0 166.803 * * [simplify]: Extracting #2: cost 9 inf + 0 166.803 * * [simplify]: Extracting #3: cost 33 inf + 0 166.804 * * [simplify]: Extracting #4: cost 119 inf + 1 166.806 * * [simplify]: Extracting #5: cost 179 inf + 2725 166.814 * * [simplify]: Extracting #6: cost 96 inf + 40070 166.835 * * [simplify]: Extracting #7: cost 6 inf + 95213 166.858 * * [simplify]: Extracting #8: cost 0 inf + 99132 166.881 * * [simplify]: Extracting #9: cost 0 inf + 98095 166.907 * * [simplify]: Extracting #10: cost 0 inf + 98056 166.930 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 166.930 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 166.930 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 166.930 * * [simplify]: iters left: 6 (16 enodes) 166.939 * * [simplify]: iters left: 5 (66 enodes) 166.962 * * [simplify]: iters left: 4 (122 enodes) 167.005 * * [simplify]: iters left: 3 (244 enodes) 167.117 * * [simplify]: Extracting #0: cost 1 inf + 0 167.117 * * [simplify]: Extracting #1: cost 4 inf + 0 167.117 * * [simplify]: Extracting #2: cost 9 inf + 0 167.117 * * [simplify]: Extracting #3: cost 33 inf + 0 167.117 * * [simplify]: Extracting #4: cost 119 inf + 1 167.121 * * [simplify]: Extracting #5: cost 179 inf + 2725 167.125 * * [simplify]: Extracting #6: cost 96 inf + 40070 167.142 * * [simplify]: Extracting #7: cost 6 inf + 95213 167.164 * * [simplify]: Extracting #8: cost 0 inf + 99132 167.181 * * [simplify]: Extracting #9: cost 0 inf + 98095 167.193 * * [simplify]: Extracting #10: cost 0 inf + 98056 167.204 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 167.205 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 167.205 * * * * [progress]: [ 221 / 295 ] simplifiying candidate # 167.205 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 167.205 * * [simplify]: iters left: 6 (14 enodes) 167.209 * * [simplify]: iters left: 5 (59 enodes) 167.220 * * [simplify]: iters left: 4 (109 enodes) 167.242 * * [simplify]: iters left: 3 (209 enodes) 167.312 * * [simplify]: iters left: 2 (472 enodes) 167.537 * * [simplify]: Extracting #0: cost 1 inf + 0 167.537 * * [simplify]: Extracting #1: cost 84 inf + 0 167.538 * * [simplify]: Extracting #2: cost 293 inf + 0 167.539 * * [simplify]: Extracting #3: cost 392 inf + 3 167.542 * * [simplify]: Extracting #4: cost 377 inf + 12067 167.547 * * [simplify]: Extracting #5: cost 312 inf + 33081 167.581 * * [simplify]: Extracting #6: cost 101 inf + 197466 167.646 * * [simplify]: Extracting #7: cost 0 inf + 290469 167.701 * * [simplify]: Extracting #8: cost 0 inf + 287805 167.753 * * [simplify]: Extracting #9: cost 0 inf + 287355 167.809 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 167.809 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 167.809 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 167.809 * * [simplify]: iters left: 6 (14 enodes) 167.814 * * [simplify]: iters left: 5 (57 enodes) 167.834 * * [simplify]: iters left: 4 (97 enodes) 167.866 * * [simplify]: iters left: 3 (160 enodes) 167.902 * * [simplify]: iters left: 2 (320 enodes) 168.011 * * [simplify]: Extracting #0: cost 1 inf + 0 168.011 * * [simplify]: Extracting #1: cost 50 inf + 0 168.011 * * [simplify]: Extracting #2: cost 153 inf + 0 168.012 * * [simplify]: Extracting #3: cost 215 inf + 3 168.013 * * [simplify]: Extracting #4: cost 221 inf + 2510 168.016 * * [simplify]: Extracting #5: cost 152 inf + 22300 168.029 * * [simplify]: Extracting #6: cost 30 inf + 116681 168.062 * * [simplify]: Extracting #7: cost 0 inf + 141118 168.094 * * [simplify]: Extracting #8: cost 0 inf + 140288 168.112 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 168.112 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 168.112 * * * * [progress]: [ 222 / 295 ] simplifiying candidate # 168.113 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 168.113 * * [simplify]: iters left: 6 (14 enodes) 168.117 * * [simplify]: iters left: 5 (58 enodes) 168.137 * * [simplify]: iters left: 4 (98 enodes) 168.166 * * [simplify]: iters left: 3 (161 enodes) 168.199 * * [simplify]: iters left: 2 (322 enodes) 168.306 * * [simplify]: Extracting #0: cost 1 inf + 0 168.306 * * [simplify]: Extracting #1: cost 44 inf + 0 168.307 * * [simplify]: Extracting #2: cost 149 inf + 0 168.308 * * [simplify]: Extracting #3: cost 209 inf + 3 168.311 * * [simplify]: Extracting #4: cost 200 inf + 9397 168.325 * * [simplify]: Extracting #5: cost 109 inf + 47433 168.352 * * [simplify]: Extracting #6: cost 16 inf + 119214 168.381 * * [simplify]: Extracting #7: cost 0 inf + 132525 168.397 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) 168.398 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 168.398 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 168.398 * * [simplify]: iters left: 6 (14 enodes) 168.402 * * [simplify]: iters left: 5 (57 enodes) 168.412 * * [simplify]: iters left: 4 (97 enodes) 168.432 * * [simplify]: iters left: 3 (160 enodes) 168.496 * * [simplify]: iters left: 2 (320 enodes) 168.587 * * [simplify]: Extracting #0: cost 1 inf + 0 168.587 * * [simplify]: Extracting #1: cost 50 inf + 0 168.588 * * [simplify]: Extracting #2: cost 153 inf + 0 168.588 * * [simplify]: Extracting #3: cost 215 inf + 3 168.589 * * [simplify]: Extracting #4: cost 221 inf + 2550 168.592 * * [simplify]: Extracting #5: cost 152 inf + 22380 168.605 * * [simplify]: Extracting #6: cost 30 inf + 116761 168.638 * * [simplify]: Extracting #7: cost 0 inf + 141198 168.660 * * [simplify]: Extracting #8: cost 0 inf + 140368 168.678 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 168.678 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 168.678 * * * * [progress]: [ 223 / 295 ] simplifiying candidate # 168.678 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 168.678 * * [simplify]: iters left: 6 (13 enodes) 168.682 * * [simplify]: iters left: 5 (54 enodes) 168.692 * * [simplify]: iters left: 4 (94 enodes) 168.711 * * [simplify]: iters left: 3 (157 enodes) 168.756 * * [simplify]: iters left: 2 (318 enodes) 168.848 * * [simplify]: Extracting #0: cost 1 inf + 0 168.848 * * [simplify]: Extracting #1: cost 53 inf + 0 168.849 * * [simplify]: Extracting #2: cost 152 inf + 0 168.850 * * [simplify]: Extracting #3: cost 212 inf + 3 168.853 * * [simplify]: Extracting #4: cost 209 inf + 5867 168.862 * * [simplify]: Extracting #5: cost 136 inf + 32247 168.886 * * [simplify]: Extracting #6: cost 22 inf + 117560 168.907 * * [simplify]: Extracting #7: cost 0 inf + 135627 168.925 * * [simplify]: Extracting #8: cost 0 inf + 134748 168.963 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 168.963 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 168.964 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 168.964 * * [simplify]: iters left: 6 (14 enodes) 168.970 * * [simplify]: iters left: 5 (57 enodes) 168.980 * * [simplify]: iters left: 4 (97 enodes) 168.996 * * [simplify]: iters left: 3 (160 enodes) 169.033 * * [simplify]: iters left: 2 (320 enodes) 169.181 * * [simplify]: Extracting #0: cost 1 inf + 0 169.181 * * [simplify]: Extracting #1: cost 50 inf + 0 169.181 * * [simplify]: Extracting #2: cost 153 inf + 0 169.182 * * [simplify]: Extracting #3: cost 215 inf + 3 169.183 * * [simplify]: Extracting #4: cost 221 inf + 2510 169.187 * * [simplify]: Extracting #5: cost 152 inf + 21860 169.203 * * [simplify]: Extracting #6: cost 30 inf + 114281 169.224 * * [simplify]: Extracting #7: cost 0 inf + 138118 169.246 * * [simplify]: Extracting #8: cost 0 inf + 137288 169.269 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 169.269 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 169.269 * * * * [progress]: [ 224 / 295 ] simplifiying candidate # 169.269 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 169.269 * * [simplify]: iters left: 6 (12 enodes) 169.273 * * [simplify]: iters left: 5 (51 enodes) 169.284 * * [simplify]: iters left: 4 (85 enodes) 169.307 * * [simplify]: iters left: 3 (152 enodes) 169.344 * * [simplify]: iters left: 2 (318 enodes) 169.435 * * [simplify]: Extracting #0: cost 1 inf + 0 169.435 * * [simplify]: Extracting #1: cost 51 inf + 0 169.436 * * [simplify]: Extracting #2: cost 136 inf + 1 169.437 * * [simplify]: Extracting #3: cost 186 inf + 4 169.439 * * [simplify]: Extracting #4: cost 209 inf + 12 169.441 * * [simplify]: Extracting #5: cost 176 inf + 4502 169.449 * * [simplify]: Extracting #6: cost 110 inf + 26640 169.469 * * [simplify]: Extracting #7: cost 18 inf + 87378 169.489 * * [simplify]: Extracting #8: cost 0 inf + 103339 169.503 * * [simplify]: Extracting #9: cost 0 inf + 102989 169.527 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) 169.527 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 169.527 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 169.527 * * [simplify]: iters left: 6 (13 enodes) 169.535 * * [simplify]: iters left: 5 (54 enodes) 169.554 * * [simplify]: iters left: 4 (94 enodes) 169.571 * * [simplify]: iters left: 3 (157 enodes) 169.620 * * [simplify]: iters left: 2 (318 enodes) 169.766 * * [simplify]: Extracting #0: cost 1 inf + 0 169.766 * * [simplify]: Extracting #1: cost 53 inf + 0 169.767 * * [simplify]: Extracting #2: cost 152 inf + 0 169.768 * * [simplify]: Extracting #3: cost 209 inf + 45 169.771 * * [simplify]: Extracting #4: cost 206 inf + 5505 169.781 * * [simplify]: Extracting #5: cost 122 inf + 41915 169.802 * * [simplify]: Extracting #6: cost 7 inf + 128414 169.818 * * [simplify]: Extracting #7: cost 0 inf + 132618 169.851 * * [simplify]: Extracting #8: cost 0 inf + 131739 169.884 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 169.884 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 169.885 * * * * [progress]: [ 225 / 295 ] simplifiying candidate # 169.885 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 169.885 * * [simplify]: iters left: 6 (13 enodes) 169.893 * * [simplify]: iters left: 5 (54 enodes) 169.911 * * [simplify]: iters left: 4 (94 enodes) 169.928 * * [simplify]: iters left: 3 (157 enodes) 169.975 * * [simplify]: iters left: 2 (318 enodes) 170.091 * * [simplify]: Extracting #0: cost 1 inf + 0 170.091 * * [simplify]: Extracting #1: cost 53 inf + 0 170.091 * * [simplify]: Extracting #2: cost 152 inf + 0 170.092 * * [simplify]: Extracting #3: cost 212 inf + 3 170.093 * * [simplify]: Extracting #4: cost 209 inf + 5867 170.097 * * [simplify]: Extracting #5: cost 136 inf + 32247 170.117 * * [simplify]: Extracting #6: cost 22 inf + 117560 170.135 * * [simplify]: Extracting #7: cost 0 inf + 135627 170.160 * * [simplify]: Extracting #8: cost 0 inf + 134748 170.195 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 170.195 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 170.195 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 170.195 * * [simplify]: iters left: 6 (14 enodes) 170.201 * * [simplify]: iters left: 5 (57 enodes) 170.212 * * [simplify]: iters left: 4 (97 enodes) 170.231 * * [simplify]: iters left: 3 (160 enodes) 170.267 * * [simplify]: iters left: 2 (320 enodes) 170.363 * * [simplify]: Extracting #0: cost 1 inf + 0 170.363 * * [simplify]: Extracting #1: cost 50 inf + 0 170.364 * * [simplify]: Extracting #2: cost 153 inf + 0 170.365 * * [simplify]: Extracting #3: cost 215 inf + 3 170.367 * * [simplify]: Extracting #4: cost 221 inf + 2510 170.377 * * [simplify]: Extracting #5: cost 152 inf + 21860 170.390 * * [simplify]: Extracting #6: cost 30 inf + 114281 170.408 * * [simplify]: Extracting #7: cost 0 inf + 138118 170.441 * * [simplify]: Extracting #8: cost 0 inf + 137288 170.459 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 170.460 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 170.460 * * * * [progress]: [ 226 / 295 ] simplifiying candidate # 170.460 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow 2 (/ (- 1 k) 2)))) 170.460 * * [simplify]: iters left: 6 (11 enodes) 170.464 * * [simplify]: iters left: 5 (48 enodes) 170.473 * * [simplify]: iters left: 4 (84 enodes) 170.503 * * [simplify]: iters left: 3 (150 enodes) 170.532 * * [simplify]: iters left: 2 (298 enodes) 170.607 * * [simplify]: Extracting #0: cost 1 inf + 0 170.607 * * [simplify]: Extracting #1: cost 51 inf + 0 170.607 * * [simplify]: Extracting #2: cost 140 inf + 1 170.608 * * [simplify]: Extracting #3: cost 183 inf + 4 170.609 * * [simplify]: Extracting #4: cost 211 inf + 11 170.610 * * [simplify]: Extracting #5: cost 186 inf + 4415 170.613 * * [simplify]: Extracting #6: cost 127 inf + 22124 170.622 * * [simplify]: Extracting #7: cost 40 inf + 75833 170.637 * * [simplify]: Extracting #8: cost 2 inf + 105804 170.656 * * [simplify]: Extracting #9: cost 0 inf + 106539 170.670 * [simplify]: Simplified to (* (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) 170.670 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 170.670 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 170.671 * * [simplify]: iters left: 6 (13 enodes) 170.678 * * [simplify]: iters left: 5 (54 enodes) 170.696 * * [simplify]: iters left: 4 (94 enodes) 170.712 * * [simplify]: iters left: 3 (157 enodes) 170.743 * * [simplify]: iters left: 2 (318 enodes) 170.823 * * [simplify]: Extracting #0: cost 1 inf + 0 170.823 * * [simplify]: Extracting #1: cost 53 inf + 0 170.824 * * [simplify]: Extracting #2: cost 152 inf + 0 170.824 * * [simplify]: Extracting #3: cost 209 inf + 45 170.826 * * [simplify]: Extracting #4: cost 206 inf + 5505 170.831 * * [simplify]: Extracting #5: cost 122 inf + 41915 170.854 * * [simplify]: Extracting #6: cost 7 inf + 128414 170.871 * * [simplify]: Extracting #7: cost 0 inf + 132618 170.889 * * [simplify]: Extracting #8: cost 0 inf + 131739 170.917 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 170.917 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 170.917 * * * * [progress]: [ 227 / 295 ] simplifiying candidate # 170.918 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) 1) 170.918 * * [simplify]: iters left: 6 (9 enodes) 170.921 * * [simplify]: iters left: 5 (36 enodes) 170.930 * * [simplify]: iters left: 4 (62 enodes) 170.940 * * [simplify]: iters left: 3 (97 enodes) 170.958 * * [simplify]: iters left: 2 (166 enodes) 171.002 * * [simplify]: iters left: 1 (318 enodes) 171.169 * * [simplify]: Extracting #0: cost 1 inf + 0 171.169 * * [simplify]: Extracting #1: cost 5 inf + 0 171.169 * * [simplify]: Extracting #2: cost 32 inf + 1 171.169 * * [simplify]: Extracting #3: cost 108 inf + 3 171.170 * * [simplify]: Extracting #4: cost 136 inf + 9 171.170 * * [simplify]: Extracting #5: cost 126 inf + 840 171.172 * * [simplify]: Extracting #6: cost 71 inf + 8367 171.178 * * [simplify]: Extracting #7: cost 16 inf + 41694 171.186 * * [simplify]: Extracting #8: cost 0 inf + 54569 171.195 * * [simplify]: Extracting #9: cost 0 inf + 54188 171.209 * [simplify]: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 171.209 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 171.209 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 171.209 * * [simplify]: iters left: 6 (15 enodes) 171.218 * * [simplify]: iters left: 5 (65 enodes) 171.241 * * [simplify]: iters left: 4 (132 enodes) 171.273 * * [simplify]: iters left: 3 (325 enodes) 171.478 * * [simplify]: Extracting #0: cost 1 inf + 0 171.478 * * [simplify]: Extracting #1: cost 86 inf + 0 171.479 * * [simplify]: Extracting #2: cost 276 inf + 0 171.480 * * [simplify]: Extracting #3: cost 314 inf + 45 171.482 * * [simplify]: Extracting #4: cost 288 inf + 10776 171.494 * * [simplify]: Extracting #5: cost 132 inf + 116439 171.528 * * [simplify]: Extracting #6: cost 10 inf + 214174 171.568 * * [simplify]: Extracting #7: cost 0 inf + 223886 171.596 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) 171.596 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) 1) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 171.596 * * * * [progress]: [ 228 / 295 ] simplifiying candidate # 171.596 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) 171.597 * * [simplify]: iters left: 6 (10 enodes) 171.600 * * [simplify]: iters left: 5 (41 enodes) 171.612 * * [simplify]: iters left: 4 (67 enodes) 171.634 * * [simplify]: iters left: 3 (102 enodes) 171.652 * * [simplify]: iters left: 2 (175 enodes) 171.709 * * [simplify]: iters left: 1 (330 enodes) 171.859 * * [simplify]: Extracting #0: cost 1 inf + 0 171.859 * * [simplify]: Extracting #1: cost 4 inf + 0 171.859 * * [simplify]: Extracting #2: cost 9 inf + 0 171.860 * * [simplify]: Extracting #3: cost 35 inf + 42 171.860 * * [simplify]: Extracting #4: cost 106 inf + 85 171.861 * * [simplify]: Extracting #5: cost 129 inf + 382 171.865 * * [simplify]: Extracting #6: cost 82 inf + 7717 171.869 * * [simplify]: Extracting #7: cost 48 inf + 15933 171.877 * * [simplify]: Extracting #8: cost 8 inf + 45024 171.888 * * [simplify]: Extracting #9: cost 0 inf + 50572 171.898 * * [simplify]: Extracting #10: cost 0 inf + 50411 171.913 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) 171.913 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 171.913 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 171.914 * * [simplify]: iters left: 6 (14 enodes) 171.922 * * [simplify]: iters left: 5 (62 enodes) 171.936 * * [simplify]: iters left: 4 (125 enodes) 171.973 * * [simplify]: iters left: 3 (288 enodes) 172.133 * * [simplify]: Extracting #0: cost 1 inf + 0 172.133 * * [simplify]: Extracting #1: cost 61 inf + 0 172.134 * * [simplify]: Extracting #2: cost 200 inf + 1 172.134 * * [simplify]: Extracting #3: cost 243 inf + 4 172.136 * * [simplify]: Extracting #4: cost 251 inf + 10 172.137 * * [simplify]: Extracting #5: cost 214 inf + 8776 172.149 * * [simplify]: Extracting #6: cost 98 inf + 75128 172.171 * * [simplify]: Extracting #7: cost 6 inf + 145118 172.197 * * [simplify]: Extracting #8: cost 0 inf + 148853 172.234 * * [simplify]: Extracting #9: cost 0 inf + 147555 172.255 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) 172.255 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))))) 172.255 * * * * [progress]: [ 229 / 295 ] simplifiying candidate # 172.256 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) 172.256 * * [simplify]: iters left: 6 (16 enodes) 172.261 * * [simplify]: iters left: 5 (68 enodes) 172.284 * * [simplify]: iters left: 4 (149 enodes) 172.333 * * [simplify]: iters left: 3 (378 enodes) 172.626 * * [simplify]: Extracting #0: cost 1 inf + 0 172.626 * * [simplify]: Extracting #1: cost 85 inf + 0 172.627 * * [simplify]: Extracting #2: cost 263 inf + 0 172.628 * * [simplify]: Extracting #3: cost 272 inf + 912 172.631 * * [simplify]: Extracting #4: cost 242 inf + 22071 172.645 * * [simplify]: Extracting #5: cost 146 inf + 74734 172.669 * * [simplify]: Extracting #6: cost 24 inf + 155533 172.689 * * [simplify]: Extracting #7: cost 0 inf + 173394 172.714 * * [simplify]: Extracting #8: cost 0 inf + 173151 172.736 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (sqrt PI) (sqrt 2)))) 172.736 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (sqrt PI) (sqrt 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 172.736 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 172.737 * * [simplify]: iters left: 6 (14 enodes) 172.744 * * [simplify]: iters left: 5 (60 enodes) 172.760 * * [simplify]: iters left: 4 (118 enodes) 172.785 * * [simplify]: iters left: 3 (253 enodes) 172.913 * * [simplify]: Extracting #0: cost 1 inf + 0 172.913 * * [simplify]: Extracting #1: cost 10 inf + 0 172.913 * * [simplify]: Extracting #2: cost 76 inf + 0 172.914 * * [simplify]: Extracting #3: cost 175 inf + 2 172.915 * * [simplify]: Extracting #4: cost 191 inf + 1016 172.918 * * [simplify]: Extracting #5: cost 119 inf + 29014 172.926 * * [simplify]: Extracting #6: cost 22 inf + 85278 172.937 * * [simplify]: Extracting #7: cost 0 inf + 98525 172.957 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))) 172.957 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (sqrt PI) (sqrt 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))))) 172.957 * * * * [progress]: [ 230 / 295 ] simplifiying candidate # 172.957 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) 172.958 * * [simplify]: iters left: 6 (16 enodes) 172.967 * * [simplify]: iters left: 5 (69 enodes) 172.995 * * [simplify]: iters left: 4 (146 enodes) 173.057 * * [simplify]: iters left: 3 (358 enodes) 173.252 * * [simplify]: Extracting #0: cost 1 inf + 0 173.252 * * [simplify]: Extracting #1: cost 84 inf + 0 173.254 * * [simplify]: Extracting #2: cost 267 inf + 0 173.256 * * [simplify]: Extracting #3: cost 293 inf + 627 173.260 * * [simplify]: Extracting #4: cost 267 inf + 11898 173.270 * * [simplify]: Extracting #5: cost 126 inf + 91222 173.294 * * [simplify]: Extracting #6: cost 8 inf + 182883 173.324 * * [simplify]: Extracting #7: cost 0 inf + 191500 173.360 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) 173.360 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (pow PI (/ k 2))))) 173.361 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (pow PI (/ k 2))) 173.361 * * [simplify]: iters left: 6 (12 enodes) 173.364 * * [simplify]: iters left: 5 (49 enodes) 173.373 * * [simplify]: iters left: 4 (84 enodes) 173.388 * * [simplify]: iters left: 3 (147 enodes) 173.419 * * [simplify]: iters left: 2 (279 enodes) 173.535 * * [simplify]: Extracting #0: cost 1 inf + 0 173.535 * * [simplify]: Extracting #1: cost 6 inf + 0 173.535 * * [simplify]: Extracting #2: cost 29 inf + 0 173.535 * * [simplify]: Extracting #3: cost 97 inf + 2 173.536 * * [simplify]: Extracting #4: cost 138 inf + 637 173.537 * * [simplify]: Extracting #5: cost 115 inf + 5320 173.540 * * [simplify]: Extracting #6: cost 49 inf + 30281 173.546 * * [simplify]: Extracting #7: cost 12 inf + 45617 173.553 * * [simplify]: Extracting #8: cost 0 inf + 52188 173.560 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (pow PI (/ k 2))) 173.560 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 173.560 * * * * [progress]: [ 231 / 295 ] simplifiying candidate # 173.560 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) 173.560 * * [simplify]: iters left: 6 (16 enodes) 173.565 * * [simplify]: iters left: 5 (68 enodes) 173.592 * * [simplify]: iters left: 4 (143 enodes) 173.663 * * [simplify]: iters left: 3 (352 enodes) 173.933 * * [simplify]: Extracting #0: cost 1 inf + 0 173.933 * * [simplify]: Extracting #1: cost 84 inf + 0 173.935 * * [simplify]: Extracting #2: cost 276 inf + 0 173.937 * * [simplify]: Extracting #3: cost 307 inf + 130 173.941 * * [simplify]: Extracting #4: cost 275 inf + 11732 173.959 * * [simplify]: Extracting #5: cost 155 inf + 86998 173.999 * * [simplify]: Extracting #6: cost 26 inf + 181353 174.027 * * [simplify]: Extracting #7: cost 0 inf + 200042 174.068 * * [simplify]: Extracting #8: cost 0 inf + 200041 174.115 * [simplify]: Simplified to (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt 2))) (pow PI (/ (- 1 k) 2))) 174.115 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt 2))) (pow PI (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))))) 174.116 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))) 174.116 * * [simplify]: iters left: 6 (11 enodes) 174.123 * * [simplify]: iters left: 5 (46 enodes) 174.139 * * [simplify]: iters left: 4 (81 enodes) 174.166 * * [simplify]: iters left: 3 (144 enodes) 174.221 * * [simplify]: iters left: 2 (276 enodes) 174.336 * * [simplify]: Extracting #0: cost 1 inf + 0 174.336 * * [simplify]: Extracting #1: cost 6 inf + 0 174.336 * * [simplify]: Extracting #2: cost 28 inf + 0 174.339 * * [simplify]: Extracting #3: cost 94 inf + 2 174.340 * * [simplify]: Extracting #4: cost 135 inf + 718 174.343 * * [simplify]: Extracting #5: cost 116 inf + 5226 174.346 * * [simplify]: Extracting #6: cost 45 inf + 28741 174.353 * * [simplify]: Extracting #7: cost 2 inf + 50461 174.360 * * [simplify]: Extracting #8: cost 0 inf + 51389 174.366 * * [simplify]: Extracting #9: cost 0 inf + 51308 174.375 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))) 174.375 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt 2))) (pow PI (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))))) 174.375 * * * * [progress]: [ 232 / 295 ] simplifiying candidate # 174.376 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 174.376 * * [simplify]: iters left: 6 (14 enodes) 174.384 * * [simplify]: iters left: 5 (60 enodes) 174.406 * * [simplify]: iters left: 4 (112 enodes) 174.429 * * [simplify]: iters left: 3 (218 enodes) 174.546 * * [simplify]: Extracting #0: cost 1 inf + 0 174.546 * * [simplify]: Extracting #1: cost 6 inf + 0 174.546 * * [simplify]: Extracting #2: cost 9 inf + 1 174.546 * * [simplify]: Extracting #3: cost 18 inf + 1 174.546 * * [simplify]: Extracting #4: cost 78 inf + 1 174.547 * * [simplify]: Extracting #5: cost 169 inf + 4 174.549 * * [simplify]: Extracting #6: cost 167 inf + 1966 174.552 * * [simplify]: Extracting #7: cost 134 inf + 10926 174.562 * * [simplify]: Extracting #8: cost 63 inf + 48717 174.588 * * [simplify]: Extracting #9: cost 0 inf + 93271 174.610 * * [simplify]: Extracting #10: cost 0 inf + 90859 174.632 * * [simplify]: Extracting #11: cost 0 inf + 90764 174.654 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 174.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 174.655 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 174.655 * * [simplify]: iters left: 6 (15 enodes) 174.664 * * [simplify]: iters left: 5 (63 enodes) 174.686 * * [simplify]: iters left: 4 (120 enodes) 174.732 * * [simplify]: iters left: 3 (251 enodes) 174.852 * * [simplify]: Extracting #0: cost 1 inf + 0 174.852 * * [simplify]: Extracting #1: cost 11 inf + 0 174.852 * * [simplify]: Extracting #2: cost 34 inf + 0 174.852 * * [simplify]: Extracting #3: cost 73 inf + 1 174.853 * * [simplify]: Extracting #4: cost 133 inf + 9 174.854 * * [simplify]: Extracting #5: cost 188 inf + 2176 174.860 * * [simplify]: Extracting #6: cost 114 inf + 30107 174.879 * * [simplify]: Extracting #7: cost 17 inf + 97537 174.904 * * [simplify]: Extracting #8: cost 0 inf + 112114 174.929 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 174.929 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))))) 174.929 * * * * [progress]: [ 233 / 295 ] simplifiying candidate # 174.930 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 174.930 * * [simplify]: iters left: 6 (13 enodes) 174.938 * * [simplify]: iters left: 5 (55 enodes) 174.958 * * [simplify]: iters left: 4 (105 enodes) 174.990 * * [simplify]: iters left: 3 (211 enodes) 175.086 * * [simplify]: Extracting #0: cost 1 inf + 0 175.086 * * [simplify]: Extracting #1: cost 4 inf + 0 175.086 * * [simplify]: Extracting #2: cost 5 inf + 1 175.086 * * [simplify]: Extracting #3: cost 14 inf + 1 175.086 * * [simplify]: Extracting #4: cost 74 inf + 1 175.087 * * [simplify]: Extracting #5: cost 164 inf + 4 175.089 * * [simplify]: Extracting #6: cost 154 inf + 2923 175.093 * * [simplify]: Extracting #7: cost 109 inf + 17566 175.101 * * [simplify]: Extracting #8: cost 29 inf + 67104 175.111 * * [simplify]: Extracting #9: cost 0 inf + 89845 175.124 * * [simplify]: Extracting #10: cost 0 inf + 89683 175.144 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 175.144 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 175.145 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 175.145 * * [simplify]: iters left: 6 (15 enodes) 175.153 * * [simplify]: iters left: 5 (63 enodes) 175.176 * * [simplify]: iters left: 4 (120 enodes) 175.223 * * [simplify]: iters left: 3 (251 enodes) 175.345 * * [simplify]: Extracting #0: cost 1 inf + 0 175.345 * * [simplify]: Extracting #1: cost 11 inf + 0 175.345 * * [simplify]: Extracting #2: cost 34 inf + 0 175.345 * * [simplify]: Extracting #3: cost 73 inf + 1 175.345 * * [simplify]: Extracting #4: cost 133 inf + 9 175.346 * * [simplify]: Extracting #5: cost 188 inf + 2176 175.349 * * [simplify]: Extracting #6: cost 114 inf + 30027 175.359 * * [simplify]: Extracting #7: cost 17 inf + 97017 175.373 * * [simplify]: Extracting #8: cost 0 inf + 111514 175.388 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 175.389 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))))) 175.389 * * * * [progress]: [ 234 / 295 ] simplifiying candidate # 175.389 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 175.389 * * [simplify]: iters left: 6 (11 enodes) 175.397 * * [simplify]: iters left: 5 (48 enodes) 175.406 * * [simplify]: iters left: 4 (88 enodes) 175.428 * * [simplify]: iters left: 3 (175 enodes) 175.523 * * [simplify]: iters left: 2 (442 enodes) 175.764 * * [simplify]: Extracting #0: cost 1 inf + 0 175.764 * * [simplify]: Extracting #1: cost 96 inf + 0 175.765 * * [simplify]: Extracting #2: cost 271 inf + 1 175.766 * * [simplify]: Extracting #3: cost 327 inf + 4 175.768 * * [simplify]: Extracting #4: cost 310 inf + 3958 175.777 * * [simplify]: Extracting #5: cost 227 inf + 33530 175.796 * * [simplify]: Extracting #6: cost 61 inf + 142919 175.824 * * [simplify]: Extracting #7: cost 0 inf + 187472 175.874 * * [simplify]: Extracting #8: cost 0 inf + 187350 175.929 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 175.930 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 175.930 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 175.930 * * [simplify]: iters left: 6 (13 enodes) 175.938 * * [simplify]: iters left: 5 (54 enodes) 175.957 * * [simplify]: iters left: 4 (97 enodes) 175.987 * * [simplify]: iters left: 3 (190 enodes) 176.058 * * [simplify]: Extracting #0: cost 1 inf + 0 176.058 * * [simplify]: Extracting #1: cost 38 inf + 0 176.058 * * [simplify]: Extracting #2: cost 128 inf + 0 176.059 * * [simplify]: Extracting #3: cost 160 inf + 3 176.059 * * [simplify]: Extracting #4: cost 150 inf + 1134 176.061 * * [simplify]: Extracting #5: cost 103 inf + 16779 176.068 * * [simplify]: Extracting #6: cost 17 inf + 68912 176.082 * * [simplify]: Extracting #7: cost 0 inf + 79691 176.092 * * [simplify]: Extracting #8: cost 0 inf + 79273 176.101 * * [simplify]: Extracting #9: cost 0 inf + 79272 176.113 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 176.114 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 176.114 * * * * [progress]: [ 235 / 295 ] simplifiying candidate # 176.114 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 176.114 * * [simplify]: iters left: 6 (11 enodes) 176.120 * * [simplify]: iters left: 5 (47 enodes) 176.133 * * [simplify]: iters left: 4 (77 enodes) 176.149 * * [simplify]: iters left: 3 (132 enodes) 176.189 * * [simplify]: iters left: 2 (289 enodes) 176.274 * * [simplify]: Extracting #0: cost 1 inf + 0 176.275 * * [simplify]: Extracting #1: cost 41 inf + 0 176.275 * * [simplify]: Extracting #2: cost 120 inf + 1 176.276 * * [simplify]: Extracting #3: cost 165 inf + 4 176.276 * * [simplify]: Extracting #4: cost 156 inf + 2112 176.279 * * [simplify]: Extracting #5: cost 103 inf + 16078 176.292 * * [simplify]: Extracting #6: cost 21 inf + 62870 176.305 * * [simplify]: Extracting #7: cost 0 inf + 75530 176.322 * * [simplify]: Extracting #8: cost 0 inf + 74241 176.345 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) 176.345 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 176.346 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 176.346 * * [simplify]: iters left: 6 (13 enodes) 176.354 * * [simplify]: iters left: 5 (54 enodes) 176.364 * * [simplify]: iters left: 4 (97 enodes) 176.382 * * [simplify]: iters left: 3 (190 enodes) 176.451 * * [simplify]: Extracting #0: cost 1 inf + 0 176.451 * * [simplify]: Extracting #1: cost 38 inf + 0 176.452 * * [simplify]: Extracting #2: cost 128 inf + 0 176.452 * * [simplify]: Extracting #3: cost 160 inf + 3 176.453 * * [simplify]: Extracting #4: cost 150 inf + 1174 176.455 * * [simplify]: Extracting #5: cost 103 inf + 16859 176.465 * * [simplify]: Extracting #6: cost 17 inf + 68992 176.483 * * [simplify]: Extracting #7: cost 0 inf + 79771 176.501 * * [simplify]: Extracting #8: cost 0 inf + 79353 176.512 * * [simplify]: Extracting #9: cost 0 inf + 79352 176.521 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 176.521 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 176.522 * * * * [progress]: [ 236 / 295 ] simplifiying candidate # 176.522 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 176.522 * * [simplify]: iters left: 6 (10 enodes) 176.525 * * [simplify]: iters left: 5 (43 enodes) 176.533 * * [simplify]: iters left: 4 (73 enodes) 176.549 * * [simplify]: iters left: 3 (125 enodes) 176.602 * * [simplify]: iters left: 2 (279 enodes) 176.737 * * [simplify]: Extracting #0: cost 1 inf + 0 176.737 * * [simplify]: Extracting #1: cost 45 inf + 0 176.738 * * [simplify]: Extracting #2: cost 125 inf + 1 176.739 * * [simplify]: Extracting #3: cost 166 inf + 4 176.740 * * [simplify]: Extracting #4: cost 157 inf + 2375 176.746 * * [simplify]: Extracting #5: cost 98 inf + 17640 176.762 * * [simplify]: Extracting #6: cost 12 inf + 68280 176.782 * * [simplify]: Extracting #7: cost 0 inf + 76078 176.804 * * [simplify]: Extracting #8: cost 0 inf + 75957 176.828 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 176.828 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 176.829 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 176.829 * * [simplify]: iters left: 6 (13 enodes) 176.836 * * [simplify]: iters left: 5 (54 enodes) 176.856 * * [simplify]: iters left: 4 (97 enodes) 176.875 * * [simplify]: iters left: 3 (190 enodes) 176.934 * * [simplify]: Extracting #0: cost 1 inf + 0 176.934 * * [simplify]: Extracting #1: cost 38 inf + 0 176.935 * * [simplify]: Extracting #2: cost 128 inf + 0 176.935 * * [simplify]: Extracting #3: cost 160 inf + 3 176.936 * * [simplify]: Extracting #4: cost 150 inf + 1094 176.938 * * [simplify]: Extracting #5: cost 103 inf + 16179 176.950 * * [simplify]: Extracting #6: cost 17 inf + 66872 176.969 * * [simplify]: Extracting #7: cost 0 inf + 77171 176.983 * * [simplify]: Extracting #8: cost 0 inf + 76753 176.993 * * [simplify]: Extracting #9: cost 0 inf + 76752 177.003 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 177.003 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 177.003 * * * * [progress]: [ 237 / 295 ] simplifiying candidate # 177.003 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 177.003 * * [simplify]: iters left: 6 (9 enodes) 177.007 * * [simplify]: iters left: 5 (40 enodes) 177.022 * * [simplify]: iters left: 4 (69 enodes) 177.034 * * [simplify]: iters left: 3 (110 enodes) 177.061 * * [simplify]: iters left: 2 (203 enodes) 177.127 * * [simplify]: iters left: 1 (442 enodes) 177.461 * * [simplify]: Extracting #0: cost 1 inf + 0 177.461 * * [simplify]: Extracting #1: cost 44 inf + 0 177.462 * * [simplify]: Extracting #2: cost 178 inf + 3 177.463 * * [simplify]: Extracting #3: cost 220 inf + 7 177.465 * * [simplify]: Extracting #4: cost 189 inf + 7044 177.476 * * [simplify]: Extracting #5: cost 43 inf + 80832 177.502 * * [simplify]: Extracting #6: cost 0 inf + 103760 177.532 * * [simplify]: Extracting #7: cost 0 inf + 102107 177.575 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 177.575 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 177.575 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 177.576 * * [simplify]: iters left: 6 (12 enodes) 177.583 * * [simplify]: iters left: 5 (51 enodes) 177.592 * * [simplify]: iters left: 4 (90 enodes) 177.609 * * [simplify]: iters left: 3 (181 enodes) 177.686 * * [simplify]: Extracting #0: cost 1 inf + 0 177.686 * * [simplify]: Extracting #1: cost 38 inf + 0 177.686 * * [simplify]: Extracting #2: cost 127 inf + 0 177.687 * * [simplify]: Extracting #3: cost 156 inf + 45 177.687 * * [simplify]: Extracting #4: cost 149 inf + 1928 177.690 * * [simplify]: Extracting #5: cost 91 inf + 21734 177.698 * * [simplify]: Extracting #6: cost 7 inf + 71818 177.707 * * [simplify]: Extracting #7: cost 0 inf + 75903 177.717 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 177.717 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 177.717 * * * * [progress]: [ 238 / 295 ] simplifiying candidate # 177.717 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 177.717 * * [simplify]: iters left: 6 (10 enodes) 177.721 * * [simplify]: iters left: 5 (43 enodes) 177.732 * * [simplify]: iters left: 4 (73 enodes) 177.757 * * [simplify]: iters left: 3 (125 enodes) 177.810 * * [simplify]: iters left: 2 (279 enodes) 177.921 * * [simplify]: Extracting #0: cost 1 inf + 0 177.921 * * [simplify]: Extracting #1: cost 45 inf + 0 177.922 * * [simplify]: Extracting #2: cost 125 inf + 1 177.923 * * [simplify]: Extracting #3: cost 166 inf + 4 177.924 * * [simplify]: Extracting #4: cost 157 inf + 2375 177.930 * * [simplify]: Extracting #5: cost 98 inf + 17640 177.943 * * [simplify]: Extracting #6: cost 12 inf + 68280 177.956 * * [simplify]: Extracting #7: cost 0 inf + 76078 177.967 * * [simplify]: Extracting #8: cost 0 inf + 75957 177.977 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 177.977 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 177.978 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 177.978 * * [simplify]: iters left: 6 (13 enodes) 177.982 * * [simplify]: iters left: 5 (54 enodes) 177.992 * * [simplify]: iters left: 4 (97 enodes) 178.021 * * [simplify]: iters left: 3 (190 enodes) 178.077 * * [simplify]: Extracting #0: cost 1 inf + 0 178.077 * * [simplify]: Extracting #1: cost 38 inf + 0 178.077 * * [simplify]: Extracting #2: cost 128 inf + 0 178.078 * * [simplify]: Extracting #3: cost 160 inf + 3 178.078 * * [simplify]: Extracting #4: cost 150 inf + 1094 178.080 * * [simplify]: Extracting #5: cost 103 inf + 16179 178.087 * * [simplify]: Extracting #6: cost 17 inf + 66872 178.097 * * [simplify]: Extracting #7: cost 0 inf + 77171 178.112 * * [simplify]: Extracting #8: cost 0 inf + 76753 178.121 * * [simplify]: Extracting #9: cost 0 inf + 76752 178.131 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 178.131 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 178.131 * * * * [progress]: [ 239 / 295 ] simplifiying candidate # 178.131 * [simplify]: Simplifying (/ 1 (/ 1 (pow 2 (/ (- 1 k) 2)))) 178.132 * * [simplify]: iters left: 6 (8 enodes) 178.135 * * [simplify]: iters left: 5 (35 enodes) 178.141 * * [simplify]: iters left: 4 (59 enodes) 178.162 * * [simplify]: iters left: 3 (102 enodes) 178.183 * * [simplify]: iters left: 2 (222 enodes) 178.248 * * [simplify]: Extracting #0: cost 1 inf + 0 178.248 * * [simplify]: Extracting #1: cost 30 inf + 0 178.249 * * [simplify]: Extracting #2: cost 87 inf + 3 178.249 * * [simplify]: Extracting #3: cost 133 inf + 5 178.250 * * [simplify]: Extracting #4: cost 126 inf + 925 178.252 * * [simplify]: Extracting #5: cost 72 inf + 9619 178.257 * * [simplify]: Extracting #6: cost 19 inf + 39717 178.264 * * [simplify]: Extracting #7: cost 0 inf + 52477 178.275 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 178.275 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 178.276 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 178.276 * * [simplify]: iters left: 6 (12 enodes) 178.283 * * [simplify]: iters left: 5 (51 enodes) 178.292 * * [simplify]: iters left: 4 (90 enodes) 178.308 * * [simplify]: iters left: 3 (181 enodes) 178.378 * * [simplify]: Extracting #0: cost 1 inf + 0 178.378 * * [simplify]: Extracting #1: cost 38 inf + 0 178.378 * * [simplify]: Extracting #2: cost 127 inf + 0 178.379 * * [simplify]: Extracting #3: cost 156 inf + 45 178.379 * * [simplify]: Extracting #4: cost 149 inf + 1928 178.382 * * [simplify]: Extracting #5: cost 91 inf + 21734 178.389 * * [simplify]: Extracting #6: cost 7 inf + 71818 178.401 * * [simplify]: Extracting #7: cost 0 inf + 75903 178.419 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 178.419 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 178.419 * * * * [progress]: [ 240 / 295 ] simplifiying candidate # 178.419 * [simplify]: Simplifying (/ 1 1) 178.419 * * [simplify]: iters left: 2 (2 enodes) 178.421 * * [simplify]: iters left: 1 (6 enodes) 178.424 * * [simplify]: Extracting #0: cost 1 inf + 0 178.424 * * [simplify]: Extracting #1: cost 0 inf + 1 178.424 * [simplify]: Simplified to 1 178.424 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 178.424 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 178.425 * * [simplify]: iters left: 6 (14 enodes) 178.432 * * [simplify]: iters left: 5 (62 enodes) 178.459 * * [simplify]: iters left: 4 (132 enodes) 178.514 * * [simplify]: iters left: 3 (362 enodes) 178.780 * * [simplify]: Extracting #0: cost 1 inf + 0 178.780 * * [simplify]: Extracting #1: cost 106 inf + 0 178.781 * * [simplify]: Extracting #2: cost 407 inf + 0 178.783 * * [simplify]: Extracting #3: cost 444 inf + 87 178.788 * * [simplify]: Extracting #4: cost 344 inf + 49038 178.820 * * [simplify]: Extracting #5: cost 92 inf + 239473 178.862 * * [simplify]: Extracting #6: cost 2 inf + 321091 178.903 * * [simplify]: Extracting #7: cost 0 inf + 321622 178.974 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 178.974 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 178.974 * * * * [progress]: [ 241 / 295 ] simplifiying candidate # 178.975 * [simplify]: Simplifying (/ 1 (sqrt k)) 178.975 * * [simplify]: iters left: 3 (4 enodes) 178.977 * * [simplify]: iters left: 2 (14 enodes) 178.982 * * [simplify]: iters left: 1 (16 enodes) 178.987 * * [simplify]: Extracting #0: cost 1 inf + 0 178.987 * * [simplify]: Extracting #1: cost 4 inf + 0 178.987 * * [simplify]: Extracting #2: cost 5 inf + 1 178.987 * * [simplify]: Extracting #3: cost 3 inf + 43 178.987 * * [simplify]: Extracting #4: cost 1 inf + 166 178.988 * * [simplify]: Extracting #5: cost 0 inf + 248 178.988 * [simplify]: Simplified to (/ 1 (sqrt k)) 178.988 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 178.988 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 178.988 * * [simplify]: iters left: 6 (13 enodes) 178.996 * * [simplify]: iters left: 5 (59 enodes) 179.009 * * [simplify]: iters left: 4 (125 enodes) 179.037 * * [simplify]: iters left: 3 (331 enodes) 179.218 * * [simplify]: Extracting #0: cost 1 inf + 0 179.218 * * [simplify]: Extracting #1: cost 102 inf + 0 179.220 * * [simplify]: Extracting #2: cost 347 inf + 1 179.223 * * [simplify]: Extracting #3: cost 387 inf + 5 179.226 * * [simplify]: Extracting #4: cost 388 inf + 10 179.235 * * [simplify]: Extracting #5: cost 286 inf + 47305 179.258 * * [simplify]: Extracting #6: cost 88 inf + 185653 179.286 * * [simplify]: Extracting #7: cost 2 inf + 252359 179.323 * * [simplify]: Extracting #8: cost 0 inf + 253873 179.380 * [simplify]: Simplified to (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) 179.381 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) 179.381 * * * * [progress]: [ 242 / 295 ] simplifiying candidate # 179.381 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) 179.381 * * [simplify]: iters left: 6 (11 enodes) 179.387 * * [simplify]: iters left: 5 (47 enodes) 179.402 * * [simplify]: iters left: 4 (113 enodes) 179.447 * * [simplify]: iters left: 3 (313 enodes) 179.588 * * [simplify]: Extracting #0: cost 1 inf + 0 179.588 * * [simplify]: Extracting #1: cost 76 inf + 0 179.589 * * [simplify]: Extracting #2: cost 219 inf + 1 179.592 * * [simplify]: Extracting #3: cost 204 inf + 2402 179.598 * * [simplify]: Extracting #4: cost 129 inf + 30601 179.614 * * [simplify]: Extracting #5: cost 23 inf + 84221 179.624 * * [simplify]: Extracting #6: cost 0 inf + 96511 179.633 * * [simplify]: Extracting #7: cost 0 inf + 96311 179.646 * [simplify]: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt 2)) 179.646 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt 2)) (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 179.647 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 179.647 * * [simplify]: iters left: 6 (13 enodes) 179.655 * * [simplify]: iters left: 5 (57 enodes) 179.676 * * [simplify]: iters left: 4 (121 enodes) 179.724 * * [simplify]: iters left: 3 (370 enodes) 180.004 * * [simplify]: Extracting #0: cost 1 inf + 0 180.005 * * [simplify]: Extracting #1: cost 140 inf + 0 180.008 * * [simplify]: Extracting #2: cost 458 inf + 0 180.012 * * [simplify]: Extracting #3: cost 511 inf + 4 180.020 * * [simplify]: Extracting #4: cost 453 inf + 19095 180.037 * * [simplify]: Extracting #5: cost 227 inf + 180768 180.100 * * [simplify]: Extracting #6: cost 5 inf + 373893 180.163 * * [simplify]: Extracting #7: cost 0 inf + 374836 180.224 * * [simplify]: Extracting #8: cost 0 inf + 374671 180.312 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 180.312 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt 2)) (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 180.312 * * * * [progress]: [ 243 / 295 ] simplifiying candidate # 180.312 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) 180.313 * * [simplify]: iters left: 6 (13 enodes) 180.321 * * [simplify]: iters left: 5 (57 enodes) 180.341 * * [simplify]: iters left: 4 (123 enodes) 180.374 * * [simplify]: iters left: 3 (328 enodes) 180.612 * * [simplify]: Extracting #0: cost 1 inf + 0 180.612 * * [simplify]: Extracting #1: cost 80 inf + 0 180.613 * * [simplify]: Extracting #2: cost 241 inf + 1 180.616 * * [simplify]: Extracting #3: cost 257 inf + 507 180.621 * * [simplify]: Extracting #4: cost 209 inf + 17274 180.632 * * [simplify]: Extracting #5: cost 72 inf + 90402 180.652 * * [simplify]: Extracting #6: cost 3 inf + 137207 180.684 * * [simplify]: Extracting #7: cost 0 inf + 137940 180.704 * * [simplify]: Extracting #8: cost 0 inf + 137462 180.724 * [simplify]: Simplified to (* (sqrt PI) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k))) 180.724 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))))) 180.724 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))) 180.724 * * [simplify]: iters left: 6 (11 enodes) 180.731 * * [simplify]: iters left: 5 (46 enodes) 180.748 * * [simplify]: iters left: 4 (84 enodes) 180.780 * * [simplify]: iters left: 3 (172 enodes) 180.829 * * [simplify]: iters left: 2 (485 enodes) 181.193 * * [simplify]: Extracting #0: cost 1 inf + 0 181.194 * * [simplify]: Extracting #1: cost 156 inf + 0 181.197 * * [simplify]: Extracting #2: cost 511 inf + 0 181.201 * * [simplify]: Extracting #3: cost 624 inf + 4 181.207 * * [simplify]: Extracting #4: cost 609 inf + 2808 181.231 * * [simplify]: Extracting #5: cost 414 inf + 109800 181.319 * * [simplify]: Extracting #6: cost 65 inf + 391561 181.393 * * [simplify]: Extracting #7: cost 0 inf + 436045 181.472 * * [simplify]: Extracting #8: cost 0 inf + 432504 181.567 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))) 181.568 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))))) 181.568 * * * * [progress]: [ 244 / 295 ] simplifiying candidate # 181.568 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) 181.568 * * [simplify]: iters left: 6 (13 enodes) 181.577 * * [simplify]: iters left: 5 (58 enodes) 181.606 * * [simplify]: iters left: 4 (129 enodes) 181.677 * * [simplify]: iters left: 3 (330 enodes) 181.890 * * [simplify]: Extracting #0: cost 1 inf + 0 181.891 * * [simplify]: Extracting #1: cost 77 inf + 0 181.892 * * [simplify]: Extracting #2: cost 226 inf + 1 181.894 * * [simplify]: Extracting #3: cost 240 inf + 547 181.897 * * [simplify]: Extracting #4: cost 218 inf + 7581 181.908 * * [simplify]: Extracting #5: cost 107 inf + 58685 181.933 * * [simplify]: Extracting #6: cost 8 inf + 117957 181.962 * * [simplify]: Extracting #7: cost 0 inf + 122805 181.989 * [simplify]: Simplified to (* (pow PI (/ (- 1 k) 2)) (/ (sqrt 2) (sqrt k))) 181.989 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (/ (sqrt 2) (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 181.989 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))) 181.989 * * [simplify]: iters left: 6 (10 enodes) 181.992 * * [simplify]: iters left: 5 (43 enodes) 182.001 * * [simplify]: iters left: 4 (81 enodes) 182.019 * * [simplify]: iters left: 3 (166 enodes) 182.086 * * [simplify]: iters left: 2 (477 enodes) 182.402 * * [simplify]: Extracting #0: cost 1 inf + 0 182.403 * * [simplify]: Extracting #1: cost 153 inf + 0 182.406 * * [simplify]: Extracting #2: cost 517 inf + 0 182.410 * * [simplify]: Extracting #3: cost 626 inf + 4 182.416 * * [simplify]: Extracting #4: cost 598 inf + 5199 182.426 * * [simplify]: Extracting #5: cost 484 inf + 53085 182.464 * * [simplify]: Extracting #6: cost 132 inf + 351519 182.556 * * [simplify]: Extracting #7: cost 0 inf + 466752 182.644 * * [simplify]: Extracting #8: cost 0 inf + 461459 182.753 * * [simplify]: Extracting #9: cost 0 inf + 461418 182.836 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))) 182.836 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (/ (sqrt 2) (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 182.836 * * * * [progress]: [ 245 / 295 ] simplifiying candidate # 182.836 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 182.836 * * [simplify]: iters left: 6 (17 enodes) 182.842 * * [simplify]: iters left: 5 (74 enodes) 182.858 * * [simplify]: iters left: 4 (138 enodes) 182.889 * * [simplify]: iters left: 3 (294 enodes) 182.984 * * [simplify]: Extracting #0: cost 1 inf + 0 182.984 * * [simplify]: Extracting #1: cost 23 inf + 0 182.984 * * [simplify]: Extracting #2: cost 57 inf + 0 182.985 * * [simplify]: Extracting #3: cost 105 inf + 1 182.986 * * [simplify]: Extracting #4: cost 175 inf + 10 182.989 * * [simplify]: Extracting #5: cost 202 inf + 13113 183.004 * * [simplify]: Extracting #6: cost 79 inf + 80744 183.031 * * [simplify]: Extracting #7: cost 5 inf + 135217 183.062 * * [simplify]: Extracting #8: cost 0 inf + 138981 183.090 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (* (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 183.090 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (* (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 183.090 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 183.090 * * [simplify]: iters left: 6 (16 enodes) 183.099 * * [simplify]: iters left: 5 (69 enodes) 183.111 * * [simplify]: iters left: 4 (130 enodes) 183.144 * * [simplify]: iters left: 3 (277 enodes) 183.298 * * [simplify]: Extracting #0: cost 1 inf + 0 183.298 * * [simplify]: Extracting #1: cost 11 inf + 0 183.298 * * [simplify]: Extracting #2: cost 34 inf + 0 183.298 * * [simplify]: Extracting #3: cost 83 inf + 1 183.299 * * [simplify]: Extracting #4: cost 155 inf + 10 183.305 * * [simplify]: Extracting #5: cost 205 inf + 2561 183.312 * * [simplify]: Extracting #6: cost 124 inf + 31453 183.331 * * [simplify]: Extracting #7: cost 33 inf + 89664 183.354 * * [simplify]: Extracting #8: cost 0 inf + 113514 183.371 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 183.371 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (/ (pow n (/ (- 1 k) 4)) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 183.371 * * * * [progress]: [ 246 / 295 ] simplifiying candidate # 183.371 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 183.371 * * [simplify]: iters left: 6 (16 enodes) 183.376 * * [simplify]: iters left: 5 (69 enodes) 183.390 * * [simplify]: iters left: 4 (130 enodes) 183.441 * * [simplify]: iters left: 3 (277 enodes) 183.539 * * [simplify]: Extracting #0: cost 1 inf + 0 183.539 * * [simplify]: Extracting #1: cost 11 inf + 0 183.539 * * [simplify]: Extracting #2: cost 34 inf + 0 183.539 * * [simplify]: Extracting #3: cost 83 inf + 1 183.540 * * [simplify]: Extracting #4: cost 155 inf + 10 183.541 * * [simplify]: Extracting #5: cost 205 inf + 2561 183.546 * * [simplify]: Extracting #6: cost 124 inf + 31333 183.565 * * [simplify]: Extracting #7: cost 33 inf + 89184 183.580 * * [simplify]: Extracting #8: cost 0 inf + 112914 183.593 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 183.593 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 183.593 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 183.593 * * [simplify]: iters left: 6 (16 enodes) 183.602 * * [simplify]: iters left: 5 (69 enodes) 183.615 * * [simplify]: iters left: 4 (130 enodes) 183.642 * * [simplify]: iters left: 3 (277 enodes) 183.743 * * [simplify]: Extracting #0: cost 1 inf + 0 183.743 * * [simplify]: Extracting #1: cost 11 inf + 0 183.743 * * [simplify]: Extracting #2: cost 34 inf + 0 183.743 * * [simplify]: Extracting #3: cost 83 inf + 1 183.744 * * [simplify]: Extracting #4: cost 155 inf + 10 183.745 * * [simplify]: Extracting #5: cost 205 inf + 2561 183.749 * * [simplify]: Extracting #6: cost 124 inf + 31333 183.758 * * [simplify]: Extracting #7: cost 33 inf + 89184 183.783 * * [simplify]: Extracting #8: cost 0 inf + 112914 183.809 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 183.809 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 183.809 * * * * [progress]: [ 247 / 295 ] simplifiying candidate # 183.809 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 183.810 * * [simplify]: iters left: 6 (14 enodes) 183.822 * * [simplify]: iters left: 5 (62 enodes) 183.844 * * [simplify]: iters left: 4 (121 enodes) 183.886 * * [simplify]: iters left: 3 (305 enodes) 183.999 * * [simplify]: Extracting #0: cost 1 inf + 0 183.999 * * [simplify]: Extracting #1: cost 73 inf + 0 183.999 * * [simplify]: Extracting #2: cost 237 inf + 0 184.000 * * [simplify]: Extracting #3: cost 294 inf + 3 184.003 * * [simplify]: Extracting #4: cost 247 inf + 16602 184.015 * * [simplify]: Extracting #5: cost 83 inf + 113762 184.039 * * [simplify]: Extracting #6: cost 2 inf + 171283 184.081 * * [simplify]: Extracting #7: cost 0 inf + 169756 184.125 * * [simplify]: Extracting #8: cost 0 inf + 169516 184.151 * [simplify]: Simplified to (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 4)))) (cbrt (sqrt k))) 184.151 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 4)))) (cbrt (sqrt k))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 184.152 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 184.152 * * [simplify]: iters left: 6 (14 enodes) 184.156 * * [simplify]: iters left: 5 (60 enodes) 184.168 * * [simplify]: iters left: 4 (107 enodes) 184.205 * * [simplify]: iters left: 3 (216 enodes) 184.303 * * [simplify]: Extracting #0: cost 1 inf + 0 184.303 * * [simplify]: Extracting #1: cost 38 inf + 0 184.303 * * [simplify]: Extracting #2: cost 131 inf + 0 184.304 * * [simplify]: Extracting #3: cost 178 inf + 3 184.306 * * [simplify]: Extracting #4: cost 169 inf + 1428 184.310 * * [simplify]: Extracting #5: cost 104 inf + 17148 184.320 * * [simplify]: Extracting #6: cost 29 inf + 62759 184.331 * * [simplify]: Extracting #7: cost 0 inf + 84184 184.342 * * [simplify]: Extracting #8: cost 0 inf + 83161 184.361 * * [simplify]: Extracting #9: cost 0 inf + 82988 184.385 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (cbrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))) 184.385 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (cbrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))))) 184.386 * * * * [progress]: [ 248 / 295 ] simplifiying candidate # 184.386 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 184.386 * * [simplify]: iters left: 6 (14 enodes) 184.394 * * [simplify]: iters left: 5 (61 enodes) 184.415 * * [simplify]: iters left: 4 (108 enodes) 184.454 * * [simplify]: iters left: 3 (220 enodes) 184.550 * * [simplify]: Extracting #0: cost 1 inf + 0 184.551 * * [simplify]: Extracting #1: cost 38 inf + 0 184.551 * * [simplify]: Extracting #2: cost 132 inf + 0 184.551 * * [simplify]: Extracting #3: cost 180 inf + 3 184.552 * * [simplify]: Extracting #4: cost 166 inf + 2294 184.555 * * [simplify]: Extracting #5: cost 91 inf + 28903 184.564 * * [simplify]: Extracting #6: cost 9 inf + 77183 184.579 * * [simplify]: Extracting #7: cost 0 inf + 82898 184.599 * * [simplify]: Extracting #8: cost 0 inf + 82859 184.619 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 4)))) 184.619 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 184.619 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 184.619 * * [simplify]: iters left: 6 (14 enodes) 184.628 * * [simplify]: iters left: 5 (60 enodes) 184.649 * * [simplify]: iters left: 4 (107 enodes) 184.672 * * [simplify]: iters left: 3 (216 enodes) 184.737 * * [simplify]: Extracting #0: cost 1 inf + 0 184.737 * * [simplify]: Extracting #1: cost 38 inf + 0 184.737 * * [simplify]: Extracting #2: cost 131 inf + 0 184.738 * * [simplify]: Extracting #3: cost 178 inf + 3 184.739 * * [simplify]: Extracting #4: cost 169 inf + 1468 184.743 * * [simplify]: Extracting #5: cost 104 inf + 17228 184.760 * * [simplify]: Extracting #6: cost 29 inf + 62839 184.780 * * [simplify]: Extracting #7: cost 0 inf + 84264 184.796 * * [simplify]: Extracting #8: cost 0 inf + 83241 184.807 * * [simplify]: Extracting #9: cost 0 inf + 83068 184.818 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (cbrt k)) (pow PI (- 1/4 (/ k 4))))) 184.818 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (cbrt k)) (pow PI (- 1/4 (/ k 4))))))) 184.818 * * * * [progress]: [ 249 / 295 ] simplifiying candidate # 184.818 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 184.818 * * [simplify]: iters left: 6 (13 enodes) 184.826 * * [simplify]: iters left: 5 (57 enodes) 184.846 * * [simplify]: iters left: 4 (104 enodes) 184.880 * * [simplify]: iters left: 3 (213 enodes) 184.942 * * [simplify]: Extracting #0: cost 1 inf + 0 184.942 * * [simplify]: Extracting #1: cost 38 inf + 0 184.943 * * [simplify]: Extracting #2: cost 131 inf + 0 184.944 * * [simplify]: Extracting #3: cost 176 inf + 3 184.946 * * [simplify]: Extracting #4: cost 163 inf + 1423 184.950 * * [simplify]: Extracting #5: cost 104 inf + 16721 184.965 * * [simplify]: Extracting #6: cost 26 inf + 63498 184.984 * * [simplify]: Extracting #7: cost 0 inf + 81426 185.007 * * [simplify]: Extracting #8: cost 0 inf + 80617 185.027 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 185.027 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 185.028 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 185.028 * * [simplify]: iters left: 6 (14 enodes) 185.036 * * [simplify]: iters left: 5 (60 enodes) 185.057 * * [simplify]: iters left: 4 (107 enodes) 185.096 * * [simplify]: iters left: 3 (216 enodes) 185.195 * * [simplify]: Extracting #0: cost 1 inf + 0 185.195 * * [simplify]: Extracting #1: cost 38 inf + 0 185.196 * * [simplify]: Extracting #2: cost 131 inf + 0 185.197 * * [simplify]: Extracting #3: cost 178 inf + 3 185.198 * * [simplify]: Extracting #4: cost 169 inf + 1428 185.203 * * [simplify]: Extracting #5: cost 104 inf + 16668 185.216 * * [simplify]: Extracting #6: cost 29 inf + 60839 185.226 * * [simplify]: Extracting #7: cost 0 inf + 81664 185.237 * * [simplify]: Extracting #8: cost 0 inf + 80641 185.248 * * [simplify]: Extracting #9: cost 0 inf + 80468 185.261 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))) 185.261 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))))) 185.261 * * * * [progress]: [ 250 / 295 ] simplifiying candidate # 185.262 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 185.262 * * [simplify]: iters left: 6 (12 enodes) 185.267 * * [simplify]: iters left: 5 (54 enodes) 185.277 * * [simplify]: iters left: 4 (93 enodes) 185.305 * * [simplify]: iters left: 3 (186 enodes) 185.393 * * [simplify]: Extracting #0: cost 1 inf + 0 185.393 * * [simplify]: Extracting #1: cost 42 inf + 0 185.393 * * [simplify]: Extracting #2: cost 120 inf + 1 185.394 * * [simplify]: Extracting #3: cost 154 inf + 4 185.395 * * [simplify]: Extracting #4: cost 158 inf + 11 185.396 * * [simplify]: Extracting #5: cost 148 inf + 1180 185.400 * * [simplify]: Extracting #6: cost 98 inf + 11757 185.411 * * [simplify]: Extracting #7: cost 30 inf + 46707 185.426 * * [simplify]: Extracting #8: cost 0 inf + 67471 185.443 * * [simplify]: Extracting #9: cost 0 inf + 67097 185.458 * [simplify]: Simplified to (* (* (pow 2 (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (pow 2 (- 1/4 (/ k 4)))) 185.458 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (pow 2 (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (pow 2 (- 1/4 (/ k 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 185.459 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 185.459 * * [simplify]: iters left: 6 (13 enodes) 185.467 * * [simplify]: iters left: 5 (57 enodes) 185.483 * * [simplify]: iters left: 4 (104 enodes) 185.503 * * [simplify]: iters left: 3 (213 enodes) 185.578 * * [simplify]: Extracting #0: cost 1 inf + 0 185.578 * * [simplify]: Extracting #1: cost 38 inf + 0 185.578 * * [simplify]: Extracting #2: cost 131 inf + 0 185.579 * * [simplify]: Extracting #3: cost 173 inf + 45 185.580 * * [simplify]: Extracting #4: cost 158 inf + 1631 185.582 * * [simplify]: Extracting #5: cost 108 inf + 14792 185.589 * * [simplify]: Extracting #6: cost 24 inf + 61856 185.602 * * [simplify]: Extracting #7: cost 0 inf + 77902 185.622 * * [simplify]: Extracting #8: cost 0 inf + 77558 185.631 * [simplify]: Simplified to (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))) 185.631 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))))) 185.632 * * * * [progress]: [ 251 / 295 ] simplifiying candidate # 185.632 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 185.632 * * [simplify]: iters left: 6 (13 enodes) 185.636 * * [simplify]: iters left: 5 (57 enodes) 185.647 * * [simplify]: iters left: 4 (104 enodes) 185.685 * * [simplify]: iters left: 3 (213 enodes) 185.777 * * [simplify]: Extracting #0: cost 1 inf + 0 185.777 * * [simplify]: Extracting #1: cost 38 inf + 0 185.778 * * [simplify]: Extracting #2: cost 131 inf + 0 185.778 * * [simplify]: Extracting #3: cost 176 inf + 3 185.779 * * [simplify]: Extracting #4: cost 163 inf + 1423 185.781 * * [simplify]: Extracting #5: cost 104 inf + 16721 185.789 * * [simplify]: Extracting #6: cost 26 inf + 63498 185.803 * * [simplify]: Extracting #7: cost 0 inf + 81426 185.817 * * [simplify]: Extracting #8: cost 0 inf + 80617 185.827 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 185.827 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 185.828 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 185.828 * * [simplify]: iters left: 6 (14 enodes) 185.832 * * [simplify]: iters left: 5 (60 enodes) 185.845 * * [simplify]: iters left: 4 (107 enodes) 185.887 * * [simplify]: iters left: 3 (216 enodes) 185.982 * * [simplify]: Extracting #0: cost 1 inf + 0 185.982 * * [simplify]: Extracting #1: cost 38 inf + 0 185.982 * * [simplify]: Extracting #2: cost 131 inf + 0 185.983 * * [simplify]: Extracting #3: cost 178 inf + 3 185.985 * * [simplify]: Extracting #4: cost 169 inf + 1428 185.992 * * [simplify]: Extracting #5: cost 104 inf + 16668 186.006 * * [simplify]: Extracting #6: cost 29 inf + 60839 186.021 * * [simplify]: Extracting #7: cost 0 inf + 81664 186.032 * * [simplify]: Extracting #8: cost 0 inf + 80641 186.043 * * [simplify]: Extracting #9: cost 0 inf + 80468 186.063 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))) 186.063 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))))) 186.063 * * * * [progress]: [ 252 / 295 ] simplifiying candidate # 186.064 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 186.064 * * [simplify]: iters left: 6 (11 enodes) 186.071 * * [simplify]: iters left: 5 (51 enodes) 186.089 * * [simplify]: iters left: 4 (94 enodes) 186.108 * * [simplify]: iters left: 3 (200 enodes) 186.182 * * [simplify]: Extracting #0: cost 1 inf + 0 186.182 * * [simplify]: Extracting #1: cost 41 inf + 0 186.183 * * [simplify]: Extracting #2: cost 123 inf + 1 186.183 * * [simplify]: Extracting #3: cost 158 inf + 4 186.184 * * [simplify]: Extracting #4: cost 163 inf + 11 186.185 * * [simplify]: Extracting #5: cost 145 inf + 2384 186.187 * * [simplify]: Extracting #6: cost 78 inf + 23174 186.195 * * [simplify]: Extracting #7: cost 9 inf + 62122 186.205 * * [simplify]: Extracting #8: cost 0 inf + 68132 186.220 * * [simplify]: Extracting #9: cost 0 inf + 68012 186.229 * * [simplify]: Extracting #10: cost 0 inf + 67972 186.239 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 4)) (pow 2 (/ (- 1 k) 2))) 186.239 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 4)) (pow 2 (/ (- 1 k) 2))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 186.239 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 186.239 * * [simplify]: iters left: 6 (13 enodes) 186.243 * * [simplify]: iters left: 5 (57 enodes) 186.254 * * [simplify]: iters left: 4 (104 enodes) 186.279 * * [simplify]: iters left: 3 (213 enodes) 186.366 * * [simplify]: Extracting #0: cost 1 inf + 0 186.366 * * [simplify]: Extracting #1: cost 38 inf + 0 186.367 * * [simplify]: Extracting #2: cost 131 inf + 0 186.367 * * [simplify]: Extracting #3: cost 173 inf + 45 186.368 * * [simplify]: Extracting #4: cost 158 inf + 1631 186.370 * * [simplify]: Extracting #5: cost 108 inf + 14792 186.377 * * [simplify]: Extracting #6: cost 24 inf + 61856 186.387 * * [simplify]: Extracting #7: cost 0 inf + 77902 186.406 * * [simplify]: Extracting #8: cost 0 inf + 77558 186.426 * [simplify]: Simplified to (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))) 186.426 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))))) 186.426 * * * * [progress]: [ 253 / 295 ] simplifiying candidate # 186.426 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) 1) 186.427 * * [simplify]: iters left: 6 (9 enodes) 186.433 * * [simplify]: iters left: 5 (39 enodes) 186.451 * * [simplify]: iters left: 4 (69 enodes) 186.468 * * [simplify]: iters left: 3 (119 enodes) 186.493 * * [simplify]: iters left: 2 (226 enodes) 186.568 * * [simplify]: Extracting #0: cost 1 inf + 0 186.569 * * [simplify]: Extracting #1: cost 33 inf + 0 186.569 * * [simplify]: Extracting #2: cost 95 inf + 3 186.569 * * [simplify]: Extracting #3: cost 138 inf + 8 186.570 * * [simplify]: Extracting #4: cost 124 inf + 1971 186.573 * * [simplify]: Extracting #5: cost 41 inf + 24462 186.580 * * [simplify]: Extracting #6: cost 2 inf + 44267 186.590 * * [simplify]: Extracting #7: cost 0 inf + 44911 186.602 * [simplify]: Simplified to (pow n (/ (- 1 k) 4)) 186.602 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 4)) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 186.602 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 186.603 * * [simplify]: iters left: 6 (15 enodes) 186.612 * * [simplify]: iters left: 5 (68 enodes) 186.637 * * [simplify]: iters left: 4 (142 enodes) 186.678 * * [simplify]: iters left: 3 (389 enodes) 187.335 * * [simplify]: Extracting #0: cost 1 inf + 0 187.335 * * [simplify]: Extracting #1: cost 106 inf + 0 187.336 * * [simplify]: Extracting #2: cost 411 inf + 0 187.338 * * [simplify]: Extracting #3: cost 465 inf + 87 187.342 * * [simplify]: Extracting #4: cost 410 inf + 20639 187.373 * * [simplify]: Extracting #5: cost 209 inf + 146932 187.418 * * [simplify]: Extracting #6: cost 11 inf + 309258 187.482 * * [simplify]: Extracting #7: cost 0 inf + 319743 187.554 * * [simplify]: Extracting #8: cost 0 inf + 319703 187.629 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) 187.629 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) 1) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 187.629 * * * * [progress]: [ 254 / 295 ] simplifiying candidate # 187.629 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt k)) 187.629 * * [simplify]: iters left: 6 (10 enodes) 187.636 * * [simplify]: iters left: 5 (44 enodes) 187.652 * * [simplify]: iters left: 4 (74 enodes) 187.671 * * [simplify]: iters left: 3 (124 enodes) 187.694 * * [simplify]: iters left: 2 (228 enodes) 187.759 * * [simplify]: iters left: 1 (473 enodes) 187.985 * * [simplify]: Extracting #0: cost 1 inf + 0 187.985 * * [simplify]: Extracting #1: cost 43 inf + 0 187.986 * * [simplify]: Extracting #2: cost 133 inf + 0 187.987 * * [simplify]: Extracting #3: cost 208 inf + 46 187.990 * * [simplify]: Extracting #4: cost 197 inf + 2534 187.998 * * [simplify]: Extracting #5: cost 118 inf + 25382 188.029 * * [simplify]: Extracting #6: cost 18 inf + 90199 188.049 * * [simplify]: Extracting #7: cost 0 inf + 102981 188.064 * [simplify]: Simplified to (/ (pow n (- 1/4 (/ k 4))) (sqrt k)) 188.064 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/4 (/ k 4))) (sqrt k)) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 188.064 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 188.064 * * [simplify]: iters left: 6 (14 enodes) 188.071 * * [simplify]: iters left: 5 (65 enodes) 188.091 * * [simplify]: iters left: 4 (132 enodes) 188.126 * * [simplify]: iters left: 3 (355 enodes) 188.336 * * [simplify]: Extracting #0: cost 1 inf + 0 188.336 * * [simplify]: Extracting #1: cost 100 inf + 0 188.337 * * [simplify]: Extracting #2: cost 339 inf + 1 188.338 * * [simplify]: Extracting #3: cost 392 inf + 5 188.340 * * [simplify]: Extracting #4: cost 396 inf + 12 188.344 * * [simplify]: Extracting #5: cost 320 inf + 30605 188.370 * * [simplify]: Extracting #6: cost 112 inf + 163634 188.430 * * [simplify]: Extracting #7: cost 1 inf + 249678 188.488 * * [simplify]: Extracting #8: cost 0 inf + 250091 188.543 * [simplify]: Simplified to (* (* (pow PI (- 1/4 (/ k 4))) (pow 2 (- 1/4 (/ k 4)))) (* (* (pow PI (- 1/4 (/ k 4))) (pow 2 (- 1/4 (/ k 4)))) (pow n (- 1/4 (/ k 4))))) 188.543 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt k)) (* (* (pow PI (- 1/4 (/ k 4))) (pow 2 (- 1/4 (/ k 4)))) (* (* (pow PI (- 1/4 (/ k 4))) (pow 2 (- 1/4 (/ k 4)))) (pow n (- 1/4 (/ k 4))))))) 188.543 * * * * [progress]: [ 255 / 295 ] simplifiying candidate # 188.543 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) 188.544 * * [simplify]: iters left: 6 (16 enodes) 188.549 * * [simplify]: iters left: 5 (71 enodes) 188.565 * * [simplify]: iters left: 4 (155 enodes) 188.612 * * [simplify]: iters left: 3 (428 enodes) 188.979 * * [simplify]: Extracting #0: cost 1 inf + 0 188.980 * * [simplify]: Extracting #1: cost 107 inf + 0 188.981 * * [simplify]: Extracting #2: cost 411 inf + 0 188.983 * * [simplify]: Extracting #3: cost 439 inf + 2175 188.989 * * [simplify]: Extracting #4: cost 348 inf + 48071 189.028 * * [simplify]: Extracting #5: cost 86 inf + 208045 189.072 * * [simplify]: Extracting #6: cost 0 inf + 262104 189.108 * * [simplify]: Extracting #7: cost 0 inf + 258692 189.151 * * [simplify]: Extracting #8: cost 0 inf + 258532 189.186 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (/ (sqrt k) (sqrt 2)) (sqrt PI))) 189.186 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (/ (sqrt k) (sqrt 2)) (sqrt PI))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 189.186 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 189.186 * * [simplify]: iters left: 6 (14 enodes) 189.191 * * [simplify]: iters left: 5 (63 enodes) 189.203 * * [simplify]: iters left: 4 (133 enodes) 189.236 * * [simplify]: iters left: 3 (386 enodes) 189.542 * * [simplify]: Extracting #0: cost 1 inf + 0 189.543 * * [simplify]: Extracting #1: cost 148 inf + 0 189.544 * * [simplify]: Extracting #2: cost 465 inf + 0 189.547 * * [simplify]: Extracting #3: cost 520 inf + 4 189.557 * * [simplify]: Extracting #4: cost 415 inf + 61655 189.595 * * [simplify]: Extracting #5: cost 83 inf + 315835 189.694 * * [simplify]: Extracting #6: cost 3 inf + 374116 189.788 * * [simplify]: Extracting #7: cost 0 inf + 374506 189.881 * * [simplify]: Extracting #8: cost 0 inf + 374505 189.945 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))) 189.945 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (/ (sqrt k) (sqrt 2)) (sqrt PI))) (/ (pow n (/ (- 1 k) 4)) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))))) 189.945 * * * * [progress]: [ 256 / 295 ] simplifiying candidate # 189.945 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) 189.945 * * [simplify]: iters left: 6 (16 enodes) 189.951 * * [simplify]: iters left: 5 (72 enodes) 189.979 * * [simplify]: iters left: 4 (153 enodes) 190.021 * * [simplify]: iters left: 3 (413 enodes) 190.261 * * [simplify]: Extracting #0: cost 1 inf + 0 190.261 * * [simplify]: Extracting #1: cost 101 inf + 0 190.262 * * [simplify]: Extracting #2: cost 386 inf + 0 190.264 * * [simplify]: Extracting #3: cost 424 inf + 1304 190.269 * * [simplify]: Extracting #4: cost 347 inf + 36703 190.295 * * [simplify]: Extracting #5: cost 123 inf + 175664 190.332 * * [simplify]: Extracting #6: cost 8 inf + 263407 190.391 * * [simplify]: Extracting #7: cost 0 inf + 266883 190.425 * * [simplify]: Extracting #8: cost 0 inf + 266762 190.484 * [simplify]: Simplified to (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) 190.484 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (pow PI (/ k 2))))) 190.484 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (pow PI (/ k 2))) 190.484 * * [simplify]: iters left: 6 (12 enodes) 190.489 * * [simplify]: iters left: 5 (52 enodes) 190.498 * * [simplify]: iters left: 4 (90 enodes) 190.518 * * [simplify]: iters left: 3 (183 enodes) 190.578 * * [simplify]: Extracting #0: cost 1 inf + 0 190.578 * * [simplify]: Extracting #1: cost 39 inf + 0 190.579 * * [simplify]: Extracting #2: cost 117 inf + 0 190.579 * * [simplify]: Extracting #3: cost 161 inf + 3 190.581 * * [simplify]: Extracting #4: cost 150 inf + 1806 190.585 * * [simplify]: Extracting #5: cost 83 inf + 17733 190.597 * * [simplify]: Extracting #6: cost 19 inf + 58767 190.608 * * [simplify]: Extracting #7: cost 0 inf + 70381 190.617 * * [simplify]: Extracting #8: cost 0 inf + 70341 190.626 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (pow PI (/ k 2))) 190.626 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 4)) (pow PI (/ k 2))))) 190.626 * * * * [progress]: [ 257 / 295 ] simplifiying candidate # 190.626 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) 190.626 * * [simplify]: iters left: 6 (16 enodes) 190.632 * * [simplify]: iters left: 5 (71 enodes) 190.659 * * [simplify]: iters left: 4 (150 enodes) 190.703 * * [simplify]: iters left: 3 (406 enodes) 191.055 * * [simplify]: Extracting #0: cost 1 inf + 0 191.055 * * [simplify]: Extracting #1: cost 105 inf + 0 191.058 * * [simplify]: Extracting #2: cost 407 inf + 0 191.061 * * [simplify]: Extracting #3: cost 448 inf + 506 191.075 * * [simplify]: Extracting #4: cost 334 inf + 58155 191.132 * * [simplify]: Extracting #5: cost 64 inf + 236642 191.169 * * [simplify]: Extracting #6: cost 4 inf + 276308 191.227 * * [simplify]: Extracting #7: cost 0 inf + 279043 191.273 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) 191.274 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (pow 2 (/ k 2))))) 191.274 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (pow 2 (/ k 2))) 191.274 * * [simplify]: iters left: 6 (11 enodes) 191.282 * * [simplify]: iters left: 5 (49 enodes) 191.299 * * [simplify]: iters left: 4 (89 enodes) 191.330 * * [simplify]: iters left: 3 (182 enodes) 191.416 * * [simplify]: Extracting #0: cost 1 inf + 0 191.416 * * [simplify]: Extracting #1: cost 39 inf + 0 191.416 * * [simplify]: Extracting #2: cost 117 inf + 0 191.417 * * [simplify]: Extracting #3: cost 160 inf + 3 191.418 * * [simplify]: Extracting #4: cost 154 inf + 1475 191.420 * * [simplify]: Extracting #5: cost 85 inf + 19783 191.426 * * [simplify]: Extracting #6: cost 9 inf + 66962 191.435 * * [simplify]: Extracting #7: cost 0 inf + 72211 191.444 * * [simplify]: Extracting #8: cost 0 inf + 71534 191.458 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (pow 2 (/ k 2))) 191.458 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 4)) (pow 2 (/ k 2))))) 191.458 * * * * [progress]: [ 258 / 295 ] simplifiying candidate # 191.459 * * * * [progress]: [ 259 / 295 ] simplifiying candidate # 191.459 * * * * [progress]: [ 260 / 295 ] simplifiying candidate # 191.459 * * * * [progress]: [ 261 / 295 ] simplifiying candidate # 191.459 * [simplify]: Simplifying (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 191.459 * * [simplify]: iters left: 6 (12 enodes) 191.462 * * [simplify]: iters left: 5 (52 enodes) 191.472 * * [simplify]: iters left: 4 (98 enodes) 191.496 * * [simplify]: iters left: 3 (209 enodes) 191.588 * * [simplify]: Extracting #0: cost 1 inf + 0 191.588 * * [simplify]: Extracting #1: cost 3 inf + 0 191.588 * * [simplify]: Extracting #2: cost 12 inf + 0 191.588 * * [simplify]: Extracting #3: cost 70 inf + 0 191.589 * * [simplify]: Extracting #4: cost 162 inf + 44 191.589 * * [simplify]: Extracting #5: cost 162 inf + 2131 191.591 * * [simplify]: Extracting #6: cost 123 inf + 12116 191.597 * * [simplify]: Extracting #7: cost 50 inf + 52363 191.608 * * [simplify]: Extracting #8: cost 0 inf + 88062 191.623 * * [simplify]: Extracting #9: cost 0 inf + 87104 191.644 * [simplify]: Simplified to (cbrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 191.644 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (cbrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 191.645 * * * * [progress]: [ 262 / 295 ] simplifiying candidate # 191.645 * [simplify]: Simplifying (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 191.645 * * [simplify]: iters left: 6 (12 enodes) 191.652 * * [simplify]: iters left: 5 (52 enodes) 191.670 * * [simplify]: iters left: 4 (98 enodes) 191.705 * * [simplify]: iters left: 3 (209 enodes) 191.787 * * [simplify]: Extracting #0: cost 1 inf + 0 191.787 * * [simplify]: Extracting #1: cost 3 inf + 0 191.787 * * [simplify]: Extracting #2: cost 12 inf + 0 191.787 * * [simplify]: Extracting #3: cost 70 inf + 0 191.788 * * [simplify]: Extracting #4: cost 162 inf + 44 191.788 * * [simplify]: Extracting #5: cost 162 inf + 2131 191.790 * * [simplify]: Extracting #6: cost 123 inf + 12036 191.796 * * [simplify]: Extracting #7: cost 50 inf + 52283 191.807 * * [simplify]: Extracting #8: cost 0 inf + 87982 191.825 * * [simplify]: Extracting #9: cost 0 inf + 87024 191.847 * [simplify]: Simplified to (sqrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 191.847 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (sqrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 191.847 * * * * [progress]: [ 263 / 295 ] simplifiying candidate # 191.848 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 191.848 * * [simplify]: iters left: 6 (10 enodes) 191.854 * * [simplify]: iters left: 5 (41 enodes) 191.869 * * [simplify]: iters left: 4 (64 enodes) 191.890 * * [simplify]: iters left: 3 (104 enodes) 191.933 * * [simplify]: iters left: 2 (198 enodes) 191.982 * * [simplify]: iters left: 1 (379 enodes) 192.135 * * [simplify]: Extracting #0: cost 1 inf + 0 192.135 * * [simplify]: Extracting #1: cost 6 inf + 0 192.135 * * [simplify]: Extracting #2: cost 38 inf + 0 192.136 * * [simplify]: Extracting #3: cost 124 inf + 2 192.138 * * [simplify]: Extracting #4: cost 179 inf + 541 192.141 * * [simplify]: Extracting #5: cost 142 inf + 6676 192.152 * * [simplify]: Extracting #6: cost 47 inf + 39646 192.172 * * [simplify]: Extracting #7: cost 3 inf + 67335 192.192 * * [simplify]: Extracting #8: cost 0 inf + 67738 192.211 * * [simplify]: Extracting #9: cost 0 inf + 67577 192.231 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 192.231 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))))) 192.231 * * * * [progress]: [ 264 / 295 ] simplifiying candidate # 192.232 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 192.232 * * [simplify]: iters left: 6 (10 enodes) 192.238 * * [simplify]: iters left: 5 (41 enodes) 192.250 * * [simplify]: iters left: 4 (64 enodes) 192.264 * * [simplify]: iters left: 3 (104 enodes) 192.285 * * [simplify]: iters left: 2 (198 enodes) 192.335 * * [simplify]: iters left: 1 (379 enodes) 192.460 * * [simplify]: Extracting #0: cost 1 inf + 0 192.460 * * [simplify]: Extracting #1: cost 6 inf + 0 192.460 * * [simplify]: Extracting #2: cost 38 inf + 0 192.461 * * [simplify]: Extracting #3: cost 124 inf + 2 192.462 * * [simplify]: Extracting #4: cost 179 inf + 621 192.464 * * [simplify]: Extracting #5: cost 142 inf + 6756 192.470 * * [simplify]: Extracting #6: cost 47 inf + 39726 192.481 * * [simplify]: Extracting #7: cost 3 inf + 67415 192.491 * * [simplify]: Extracting #8: cost 0 inf + 67818 192.508 * * [simplify]: Extracting #9: cost 0 inf + 67657 192.528 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 192.528 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))))) 192.528 * * * * [progress]: [ 265 / 295 ] simplifiying candidate # 192.528 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 192.528 * * [simplify]: iters left: 6 (10 enodes) 192.532 * * [simplify]: iters left: 5 (41 enodes) 192.539 * * [simplify]: iters left: 4 (64 enodes) 192.550 * * [simplify]: iters left: 3 (104 enodes) 192.581 * * [simplify]: iters left: 2 (198 enodes) 192.658 * * [simplify]: iters left: 1 (379 enodes) 192.822 * * [simplify]: Extracting #0: cost 1 inf + 0 192.822 * * [simplify]: Extracting #1: cost 6 inf + 0 192.822 * * [simplify]: Extracting #2: cost 38 inf + 0 192.823 * * [simplify]: Extracting #3: cost 124 inf + 2 192.824 * * [simplify]: Extracting #4: cost 179 inf + 461 192.828 * * [simplify]: Extracting #5: cost 142 inf + 6556 192.839 * * [simplify]: Extracting #6: cost 47 inf + 39006 192.858 * * [simplify]: Extracting #7: cost 3 inf + 66455 192.878 * * [simplify]: Extracting #8: cost 0 inf + 66818 192.902 * * [simplify]: Extracting #9: cost 0 inf + 66657 192.921 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 192.921 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))) 192.921 * * * * [progress]: [ 266 / 295 ] simplifiying candidate # 192.921 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 192.921 * * [simplify]: iters left: 6 (9 enodes) 192.927 * * [simplify]: iters left: 5 (38 enodes) 192.935 * * [simplify]: iters left: 4 (61 enodes) 192.946 * * [simplify]: iters left: 3 (101 enodes) 192.972 * * [simplify]: iters left: 2 (195 enodes) 193.049 * * [simplify]: iters left: 1 (364 enodes) 193.177 * * [simplify]: Extracting #0: cost 1 inf + 0 193.177 * * [simplify]: Extracting #1: cost 6 inf + 0 193.177 * * [simplify]: Extracting #2: cost 38 inf + 0 193.178 * * [simplify]: Extracting #3: cost 116 inf + 44 193.180 * * [simplify]: Extracting #4: cost 170 inf + 135 193.182 * * [simplify]: Extracting #5: cost 143 inf + 2414 193.188 * * [simplify]: Extracting #6: cost 71 inf + 17929 193.202 * * [simplify]: Extracting #7: cost 12 inf + 52022 193.220 * * [simplify]: Extracting #8: cost 0 inf + 62626 193.244 * * [simplify]: Extracting #9: cost 0 inf + 61596 193.261 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 193.261 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 193.261 * * * * [progress]: [ 267 / 295 ] simplifiying candidate # 193.261 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 193.261 * * [simplify]: iters left: 6 (10 enodes) 193.264 * * [simplify]: iters left: 5 (41 enodes) 193.272 * * [simplify]: iters left: 4 (64 enodes) 193.283 * * [simplify]: iters left: 3 (104 enodes) 193.319 * * [simplify]: iters left: 2 (198 enodes) 193.385 * * [simplify]: iters left: 1 (379 enodes) 193.562 * * [simplify]: Extracting #0: cost 1 inf + 0 193.562 * * [simplify]: Extracting #1: cost 6 inf + 0 193.562 * * [simplify]: Extracting #2: cost 38 inf + 0 193.563 * * [simplify]: Extracting #3: cost 124 inf + 2 193.564 * * [simplify]: Extracting #4: cost 179 inf + 461 193.565 * * [simplify]: Extracting #5: cost 142 inf + 6556 193.571 * * [simplify]: Extracting #6: cost 47 inf + 39006 193.585 * * [simplify]: Extracting #7: cost 3 inf + 66455 193.599 * * [simplify]: Extracting #8: cost 0 inf + 66818 193.618 * * [simplify]: Extracting #9: cost 0 inf + 66657 193.632 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 193.633 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))) 193.633 * * * * [progress]: [ 268 / 295 ] simplifiying candidate # 193.633 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 193.633 * * [simplify]: iters left: 6 (9 enodes) 193.636 * * [simplify]: iters left: 5 (38 enodes) 193.643 * * [simplify]: iters left: 4 (61 enodes) 193.655 * * [simplify]: iters left: 3 (101 enodes) 193.676 * * [simplify]: iters left: 2 (195 enodes) 193.753 * * [simplify]: iters left: 1 (364 enodes) 193.931 * * [simplify]: Extracting #0: cost 1 inf + 0 193.931 * * [simplify]: Extracting #1: cost 6 inf + 0 193.931 * * [simplify]: Extracting #2: cost 38 inf + 0 193.932 * * [simplify]: Extracting #3: cost 116 inf + 44 193.932 * * [simplify]: Extracting #4: cost 170 inf + 135 193.934 * * [simplify]: Extracting #5: cost 143 inf + 2414 193.941 * * [simplify]: Extracting #6: cost 71 inf + 17929 193.948 * * [simplify]: Extracting #7: cost 12 inf + 52022 193.965 * * [simplify]: Extracting #8: cost 0 inf + 62626 193.984 * * [simplify]: Extracting #9: cost 0 inf + 61596 194.002 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 194.002 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 194.002 * * * * [progress]: [ 269 / 295 ] simplifiying candidate # 194.003 * [simplify]: Simplifying (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 194.003 * * [simplify]: iters left: 6 (11 enodes) 194.010 * * [simplify]: iters left: 5 (49 enodes) 194.028 * * [simplify]: iters left: 4 (99 enodes) 194.065 * * [simplify]: iters left: 3 (209 enodes) 194.156 * * [simplify]: Extracting #0: cost 1 inf + 0 194.156 * * [simplify]: Extracting #1: cost 10 inf + 0 194.156 * * [simplify]: Extracting #2: cost 69 inf + 0 194.157 * * [simplify]: Extracting #3: cost 160 inf + 44 194.158 * * [simplify]: Extracting #4: cost 157 inf + 1962 194.160 * * [simplify]: Extracting #5: cost 115 inf + 14082 194.170 * * [simplify]: Extracting #6: cost 31 inf + 69124 194.181 * * [simplify]: Extracting #7: cost 0 inf + 89492 194.193 * * [simplify]: Extracting #8: cost 0 inf + 88693 194.214 * [simplify]: Simplified to (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 194.214 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) 1) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 194.215 * * * * [progress]: [ 270 / 295 ] simplifiying candidate # 194.215 * [simplify]: Simplifying (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 194.215 * * [simplify]: iters left: 6 (10 enodes) 194.221 * * [simplify]: iters left: 5 (46 enodes) 194.230 * * [simplify]: iters left: 4 (96 enodes) 194.249 * * [simplify]: iters left: 3 (206 enodes) 194.368 * * [simplify]: Extracting #0: cost 1 inf + 0 194.368 * * [simplify]: Extracting #1: cost 10 inf + 0 194.369 * * [simplify]: Extracting #2: cost 67 inf + 1 194.369 * * [simplify]: Extracting #3: cost 159 inf + 3 194.371 * * [simplify]: Extracting #4: cost 169 inf + 7 194.372 * * [simplify]: Extracting #5: cost 156 inf + 2344 194.377 * * [simplify]: Extracting #6: cost 105 inf + 18792 194.391 * * [simplify]: Extracting #7: cost 26 inf + 67510 194.414 * * [simplify]: Extracting #8: cost 0 inf + 84451 194.434 * * [simplify]: Extracting #9: cost 0 inf + 84286 194.448 * [simplify]: Simplified to (/ 1 (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))) 194.448 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (/ 1 (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 194.448 * * * * [progress]: [ 271 / 295 ] simplifiying candidate # 194.449 * [simplify]: Simplifying (* (pow 2 (/ k 2)) (pow PI (/ k 2))) 194.449 * * [simplify]: iters left: 5 (7 enodes) 194.451 * * [simplify]: iters left: 4 (27 enodes) 194.456 * * [simplify]: iters left: 3 (56 enodes) 194.468 * * [simplify]: iters left: 2 (144 enodes) 194.545 * * [simplify]: Extracting #0: cost 1 inf + 0 194.545 * * [simplify]: Extracting #1: cost 27 inf + 0 194.546 * * [simplify]: Extracting #2: cost 107 inf + 0 194.546 * * [simplify]: Extracting #3: cost 124 inf + 3 194.547 * * [simplify]: Extracting #4: cost 114 inf + 2145 194.548 * * [simplify]: Extracting #5: cost 83 inf + 10231 194.552 * * [simplify]: Extracting #6: cost 29 inf + 39117 194.558 * * [simplify]: Extracting #7: cost 2 inf + 58279 194.568 * * [simplify]: Extracting #8: cost 0 inf + 59617 194.577 * [simplify]: Simplified to (* (pow 2 (/ k 2)) (pow PI (/ k 2))) 194.577 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) (* (pow 2 (/ k 2)) (pow PI (/ k 2))))) 194.578 * * * * [progress]: [ 272 / 295 ] simplifiying candidate # 194.578 * [simplify]: Simplifying (pow PI (/ k 2)) 194.578 * * [simplify]: iters left: 3 (5 enodes) 194.580 * * [simplify]: iters left: 2 (18 enodes) 194.583 * * [simplify]: iters left: 1 (30 enodes) 194.589 * * [simplify]: Extracting #0: cost 1 inf + 0 194.589 * * [simplify]: Extracting #1: cost 10 inf + 0 194.589 * * [simplify]: Extracting #2: cost 23 inf + 1 194.589 * * [simplify]: Extracting #3: cost 23 inf + 46 194.590 * * [simplify]: Extracting #4: cost 11 inf + 1346 194.590 * * [simplify]: Extracting #5: cost 1 inf + 3938 194.591 * * [simplify]: Extracting #6: cost 0 inf + 4111 194.591 * * [simplify]: Extracting #7: cost 0 inf + 4070 194.592 * [simplify]: Simplified to (pow PI (/ k 2)) 194.592 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) (pow PI (/ k 2)))) 194.592 * * * * [progress]: [ 273 / 295 ] simplifiying candidate # 194.592 * [simplify]: Simplifying (pow 2 (/ k 2)) 194.592 * * [simplify]: iters left: 3 (4 enodes) 194.593 * * [simplify]: iters left: 2 (15 enodes) 194.596 * * [simplify]: iters left: 1 (27 enodes) 194.602 * * [simplify]: Extracting #0: cost 1 inf + 0 194.602 * * [simplify]: Extracting #1: cost 10 inf + 0 194.602 * * [simplify]: Extracting #2: cost 22 inf + 1 194.602 * * [simplify]: Extracting #3: cost 23 inf + 45 194.602 * * [simplify]: Extracting #4: cost 9 inf + 1889 194.603 * * [simplify]: Extracting #5: cost 1 inf + 3931 194.604 * * [simplify]: Extracting #6: cost 0 inf + 4105 194.605 * * [simplify]: Extracting #7: cost 0 inf + 4065 194.605 * [simplify]: Simplified to (pow 2 (/ k 2)) 194.605 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) (pow 2 (/ k 2)))) 194.606 * * * * [progress]: [ 274 / 295 ] simplifiying candidate # 194.606 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 194.606 * * [simplify]: iters left: 5 (9 enodes) 194.615 * * [simplify]: iters left: 4 (38 enodes) 194.624 * * [simplify]: iters left: 3 (63 enodes) 194.635 * * [simplify]: iters left: 2 (98 enodes) 194.655 * * [simplify]: iters left: 1 (167 enodes) 194.721 * * [simplify]: Extracting #0: cost 1 inf + 0 194.721 * * [simplify]: Extracting #1: cost 13 inf + 0 194.721 * * [simplify]: Extracting #2: cost 54 inf + 1 194.722 * * [simplify]: Extracting #3: cost 87 inf + 5 194.723 * * [simplify]: Extracting #4: cost 68 inf + 1334 194.725 * * [simplify]: Extracting #5: cost 40 inf + 5047 194.732 * * [simplify]: Extracting #6: cost 11 inf + 17686 194.740 * * [simplify]: Extracting #7: cost 0 inf + 25802 194.747 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 194.747 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow (cbrt n) (/ (- 1 k) 2))))) 194.747 * * * * [progress]: [ 275 / 295 ] simplifiying candidate # 194.748 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 194.748 * * [simplify]: iters left: 5 (8 enodes) 194.753 * * [simplify]: iters left: 4 (35 enodes) 194.767 * * [simplify]: iters left: 3 (56 enodes) 194.786 * * [simplify]: iters left: 2 (89 enodes) 194.806 * * [simplify]: iters left: 1 (175 enodes) 194.864 * * [simplify]: Extracting #0: cost 1 inf + 0 194.864 * * [simplify]: Extracting #1: cost 13 inf + 0 194.864 * * [simplify]: Extracting #2: cost 53 inf + 1 194.865 * * [simplify]: Extracting #3: cost 83 inf + 47 194.866 * * [simplify]: Extracting #4: cost 60 inf + 2914 194.868 * * [simplify]: Extracting #5: cost 14 inf + 15118 194.872 * * [simplify]: Extracting #6: cost 1 inf + 21571 194.876 * * [simplify]: Extracting #7: cost 0 inf + 21783 194.879 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 194.879 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow (sqrt n) (/ (- 1 k) 2))))) 194.879 * * * * [progress]: [ 276 / 295 ] simplifiying candidate # 194.880 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 194.880 * * [simplify]: iters left: 5 (6 enodes) 194.882 * * [simplify]: iters left: 4 (24 enodes) 194.886 * * [simplify]: iters left: 3 (33 enodes) 194.896 * * [simplify]: Extracting #0: cost 1 inf + 0 194.896 * * [simplify]: Extracting #1: cost 0 inf + 1 194.896 * [simplify]: Simplified to 1 194.896 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))) 194.896 * * * * [progress]: [ 277 / 295 ] simplifiying candidate # 194.896 * [simplify]: Simplifying (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 194.897 * * [simplify]: iters left: 6 (9 enodes) 194.903 * * [simplify]: iters left: 5 (38 enodes) 194.917 * * [simplify]: iters left: 4 (63 enodes) 194.938 * * [simplify]: iters left: 3 (98 enodes) 194.973 * * [simplify]: iters left: 2 (167 enodes) 195.038 * * [simplify]: iters left: 1 (317 enodes) 195.156 * * [simplify]: Extracting #0: cost 1 inf + 0 195.156 * * [simplify]: Extracting #1: cost 3 inf + 0 195.156 * * [simplify]: Extracting #2: cost 5 inf + 0 195.156 * * [simplify]: Extracting #3: cost 30 inf + 0 195.156 * * [simplify]: Extracting #4: cost 100 inf + 2 195.157 * * [simplify]: Extracting #5: cost 139 inf + 8 195.159 * * [simplify]: Extracting #6: cost 126 inf + 1468 195.164 * * [simplify]: Extracting #7: cost 64 inf + 13749 195.178 * * [simplify]: Extracting #8: cost 4 inf + 52469 195.195 * * [simplify]: Extracting #9: cost 0 inf + 54607 195.215 * [simplify]: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 195.215 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (cbrt (pow n (/ (- 1 k) 2)))))) 195.216 * * * * [progress]: [ 278 / 295 ] simplifiying candidate # 195.216 * [simplify]: Simplifying (sqrt (pow n (/ (- 1 k) 2))) 195.216 * * [simplify]: iters left: 6 (8 enodes) 195.221 * * [simplify]: iters left: 5 (35 enodes) 195.233 * * [simplify]: iters left: 4 (57 enodes) 195.252 * * [simplify]: iters left: 3 (90 enodes) 195.288 * * [simplify]: iters left: 2 (176 enodes) 195.360 * * [simplify]: iters left: 1 (339 enodes) 195.509 * * [simplify]: Extracting #0: cost 1 inf + 0 195.509 * * [simplify]: Extracting #1: cost 4 inf + 0 195.509 * * [simplify]: Extracting #2: cost 32 inf + 0 195.509 * * [simplify]: Extracting #3: cost 108 inf + 2 195.510 * * [simplify]: Extracting #4: cost 136 inf + 9 195.511 * * [simplify]: Extracting #5: cost 134 inf + 182 195.514 * * [simplify]: Extracting #6: cost 71 inf + 9517 195.522 * * [simplify]: Extracting #7: cost 38 inf + 21671 195.534 * * [simplify]: Extracting #8: cost 9 inf + 43354 195.543 * * [simplify]: Extracting #9: cost 0 inf + 50508 195.552 * * [simplify]: Extracting #10: cost 0 inf + 50376 195.561 * [simplify]: Simplified to (sqrt (pow n (/ (- 1 k) 2))) 195.561 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt (pow n (/ (- 1 k) 2)))))) 195.561 * * * * [progress]: [ 279 / 295 ] simplifiying candidate # 195.561 * * * * [progress]: [ 280 / 295 ] simplifiying candidate # 195.562 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 195.562 * * [simplify]: iters left: 6 (8 enodes) 195.565 * * [simplify]: iters left: 5 (38 enodes) 195.573 * * [simplify]: iters left: 4 (66 enodes) 195.589 * * [simplify]: iters left: 3 (110 enodes) 195.611 * * [simplify]: iters left: 2 (200 enodes) 195.691 * * [simplify]: iters left: 1 (403 enodes) 195.914 * * [simplify]: Extracting #0: cost 1 inf + 0 195.914 * * [simplify]: Extracting #1: cost 26 inf + 0 195.915 * * [simplify]: Extracting #2: cost 100 inf + 2 195.915 * * [simplify]: Extracting #3: cost 164 inf + 10 195.916 * * [simplify]: Extracting #4: cost 163 inf + 641 195.919 * * [simplify]: Extracting #5: cost 72 inf + 12998 195.926 * * [simplify]: Extracting #6: cost 25 inf + 35040 195.940 * * [simplify]: Extracting #7: cost 0 inf + 54806 195.957 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 195.957 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (- 1/4 (/ k 4))) (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (/ (- 1 k) 2) 2))))) 195.957 * * * * [progress]: [ 281 / 295 ] simplifiying candidate # 195.958 * [simplify]: Simplifying (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) 195.958 * * [simplify]: iters left: 6 (9 enodes) 195.964 * * [simplify]: iters left: 5 (41 enodes) 195.979 * * [simplify]: iters left: 4 (83 enodes) 196.011 * * [simplify]: iters left: 3 (177 enodes) 196.120 * * [simplify]: Extracting #0: cost 1 inf + 0 196.120 * * [simplify]: Extracting #1: cost 27 inf + 0 196.121 * * [simplify]: Extracting #2: cost 108 inf + 0 196.122 * * [simplify]: Extracting #3: cost 131 inf + 3 196.123 * * [simplify]: Extracting #4: cost 134 inf + 9 196.124 * * [simplify]: Extracting #5: cost 125 inf + 1556 196.127 * * [simplify]: Extracting #6: cost 83 inf + 13591 196.140 * * [simplify]: Extracting #7: cost 16 inf + 57624 196.158 * * [simplify]: Extracting #8: cost 0 inf + 68751 196.176 * * [simplify]: Extracting #9: cost 0 inf + 68345 196.193 * [simplify]: Simplified to (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) 196.194 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) 196.194 * * * * [progress]: [ 282 / 295 ] simplifiying candidate # 196.194 * [simplify]: Simplifying (pow n (/ 1 2)) 196.194 * * [simplify]: iters left: 3 (5 enodes) 196.199 * * [simplify]: iters left: 2 (22 enodes) 196.208 * * [simplify]: iters left: 1 (42 enodes) 196.221 * * [simplify]: Extracting #0: cost 1 inf + 0 196.221 * * [simplify]: Extracting #1: cost 9 inf + 0 196.221 * * [simplify]: Extracting #2: cost 12 inf + 2 196.221 * * [simplify]: Extracting #3: cost 7 inf + 510 196.222 * * [simplify]: Extracting #4: cost 1 inf + 2073 196.222 * * [simplify]: Extracting #5: cost 0 inf + 2325 196.222 * [simplify]: Simplified to (sqrt n) 196.222 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt n) (* (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ k 2))))) 196.222 * * * * [progress]: [ 283 / 295 ] simplifiying candidate #real (real->posit16 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))))> 196.222 * * * * [progress]: [ 284 / 295 ] simplifiying candidate # 196.222 * [simplify]: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 196.223 * * [simplify]: iters left: 6 (18 enodes) 196.228 * * [simplify]: iters left: 5 (83 enodes) 196.261 * * [simplify]: iters left: 4 (217 enodes) 196.367 * * [simplify]: Extracting #0: cost 1 inf + 0 196.367 * * [simplify]: Extracting #1: cost 30 inf + 0 196.368 * * [simplify]: Extracting #2: cost 133 inf + 3 196.369 * * [simplify]: Extracting #3: cost 153 inf + 1555 196.376 * * [simplify]: Extracting #4: cost 48 inf + 27042 196.386 * * [simplify]: Extracting #5: cost 1 inf + 39385 196.393 * * [simplify]: Extracting #6: cost 0 inf + 39357 196.401 * [simplify]: Simplified to (fma (* -1/2 (sqrt n)) (* k (log n)) (fma (* (sqrt n) (* (* k (log n)) (* k (log n)))) 1/8 (sqrt n))) 196.401 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma (* -1/2 (sqrt n)) (* k (log n)) (fma (* (sqrt n) (* (* k (log n)) (* k (log n)))) 1/8 (sqrt n))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 196.401 * * * * [progress]: [ 285 / 295 ] simplifiying candidate # 196.401 * [simplify]: Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 196.402 * * [simplify]: iters left: 6 (10 enodes) 196.405 * * [simplify]: iters left: 5 (44 enodes) 196.414 * * [simplify]: iters left: 4 (87 enodes) 196.436 * * [simplify]: iters left: 3 (211 enodes) 196.489 * * [simplify]: Extracting #0: cost 1 inf + 0 196.489 * * [simplify]: Extracting #1: cost 32 inf + 0 196.489 * * [simplify]: Extracting #2: cost 115 inf + 2 196.490 * * [simplify]: Extracting #3: cost 148 inf + 1208 196.493 * * [simplify]: Extracting #4: cost 61 inf + 14505 196.498 * * [simplify]: Extracting #5: cost 8 inf + 26237 196.512 * * [simplify]: Extracting #6: cost 1 inf + 30263 196.522 * * [simplify]: Extracting #7: cost 0 inf + 31149 196.533 * [simplify]: Simplified to (exp (* (log n) (* 1/2 (- 1 k)))) 196.533 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (log n) (* 1/2 (- 1 k)))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 196.533 * * * * [progress]: [ 286 / 295 ] simplifiying candidate # 196.534 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 196.534 * * [simplify]: iters left: 6 (13 enodes) 196.542 * * [simplify]: iters left: 5 (53 enodes) 196.559 * * [simplify]: iters left: 4 (109 enodes) 196.584 * * [simplify]: iters left: 3 (311 enodes) 196.726 * * [simplify]: Extracting #0: cost 1 inf + 0 196.726 * * [simplify]: Extracting #1: cost 34 inf + 0 196.726 * * [simplify]: Extracting #2: cost 135 inf + 73 196.727 * * [simplify]: Extracting #3: cost 194 inf + 2919 196.730 * * [simplify]: Extracting #4: cost 87 inf + 21540 196.738 * * [simplify]: Extracting #5: cost 7 inf + 41330 196.747 * * [simplify]: Extracting #6: cost 0 inf + 43042 196.757 * * [simplify]: Extracting #7: cost 0 inf + 43035 196.766 * [simplify]: Simplified to (sqrt (exp (- (log n) (* k (log n))))) 196.766 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (log n) (* k (log n))))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 196.766 * * * * [progress]: [ 287 / 295 ] simplifiying candidate # 196.766 * [simplify]: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 196.766 * * [simplify]: iters left: 6 (18 enodes) 196.772 * * [simplify]: iters left: 5 (83 enodes) 196.793 * * [simplify]: iters left: 4 (207 enodes) 196.881 * * [simplify]: Extracting #0: cost 1 inf + 0 196.881 * * [simplify]: Extracting #1: cost 33 inf + 0 196.882 * * [simplify]: Extracting #2: cost 152 inf + 3 196.883 * * [simplify]: Extracting #3: cost 157 inf + 4468 196.894 * * [simplify]: Extracting #4: cost 42 inf + 34177 196.910 * * [simplify]: Extracting #5: cost 0 inf + 46672 196.926 * * [simplify]: Extracting #6: cost 0 inf + 45532 196.942 * * [simplify]: Extracting #7: cost 0 inf + 45282 196.958 * [simplify]: Simplified to (fma (sqrt PI) (fma 1/8 (* (* k (log PI)) (* k (log PI))) (* (* k (log PI)) -1/2)) (sqrt PI)) 196.958 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (fma (sqrt PI) (fma 1/8 (* (* k (log PI)) (* k (log PI))) (* (* k (log PI)) -1/2)) (sqrt PI)))))) 196.958 * * * * [progress]: [ 288 / 295 ] simplifiying candidate # 196.959 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log PI)))) 196.959 * * [simplify]: iters left: 6 (9 enodes) 196.965 * * [simplify]: iters left: 5 (37 enodes) 196.979 * * [simplify]: iters left: 4 (72 enodes) 197.006 * * [simplify]: iters left: 3 (150 enodes) 197.042 * * [simplify]: iters left: 2 (357 enodes) 197.149 * * [simplify]: Extracting #0: cost 1 inf + 0 197.149 * * [simplify]: Extracting #1: cost 37 inf + 0 197.150 * * [simplify]: Extracting #2: cost 120 inf + 216 197.152 * * [simplify]: Extracting #3: cost 152 inf + 6412 197.160 * * [simplify]: Extracting #4: cost 60 inf + 25102 197.172 * * [simplify]: Extracting #5: cost 11 inf + 34972 197.181 * * [simplify]: Extracting #6: cost 0 inf + 40848 197.188 * * [simplify]: Extracting #7: cost 0 inf + 40394 197.198 * [simplify]: Simplified to (exp (* (log PI) (fma -1/2 k 1/2))) 197.199 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (exp (* (log PI) (fma -1/2 k 1/2))))))) 197.199 * * * * [progress]: [ 289 / 295 ] simplifiying candidate # 197.199 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log PI)))) 197.199 * * [simplify]: iters left: 6 (9 enodes) 197.202 * * [simplify]: iters left: 5 (37 enodes) 197.209 * * [simplify]: iters left: 4 (72 enodes) 197.224 * * [simplify]: iters left: 3 (150 enodes) 197.261 * * [simplify]: iters left: 2 (357 enodes) 197.382 * * [simplify]: Extracting #0: cost 1 inf + 0 197.382 * * [simplify]: Extracting #1: cost 37 inf + 0 197.383 * * [simplify]: Extracting #2: cost 120 inf + 216 197.384 * * [simplify]: Extracting #3: cost 152 inf + 6412 197.388 * * [simplify]: Extracting #4: cost 60 inf + 25102 197.395 * * [simplify]: Extracting #5: cost 11 inf + 34972 197.403 * * [simplify]: Extracting #6: cost 0 inf + 40848 197.410 * * [simplify]: Extracting #7: cost 0 inf + 40394 197.420 * [simplify]: Simplified to (exp (* (log PI) (fma -1/2 k 1/2))) 197.420 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (exp (* (log PI) (fma -1/2 k 1/2))))))) 197.420 * * * * [progress]: [ 290 / 295 ] simplifiying candidate # 197.421 * [simplify]: Simplifying (- (+ (* +nan.0 (* (/ (* (log 2) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow k 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log PI) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow k 3) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ k (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (pow (log PI) 2) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log 2) (pow k 2)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log 2) (* (log PI) (pow k 3))) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log PI) (pow k 2)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (* (pow (log 2) 2) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI))))))))))))))))))))))) 197.421 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) +nan.0)) 197.421 * * * * [progress]: [ 291 / 295 ] simplifiying candidate # 197.422 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) k)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (pow k 2)))))))))) 197.422 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) +nan.0)) 197.422 * * * * [progress]: [ 292 / 295 ] simplifiying candidate # 197.422 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) k)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (pow k 2)))))))))) 197.422 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) +nan.0)) 197.422 * * * * [progress]: [ 293 / 295 ] simplifiying candidate # 197.423 * [simplify]: Simplifying (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))))))))))))) 197.423 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 197.424 * * * * [progress]: [ 294 / 295 ] simplifiying candidate # 197.424 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k))))))) 197.424 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 197.425 * * * * [progress]: [ 295 / 295 ] simplifiying candidate # 197.425 * [simplify]: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2)))))))) 197.425 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 197.426 * * * [progress]: adding candidates to table 201.492 * [progress]: [Phase 3 of 3] Extracting. 201.492 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 201.493 * * * [regime-changes]: Trying 2 branch expressions: (n k) 201.493 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 201.592 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 201.689 * * * [regime]: Found split indices: #