0.003 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.200 * * * [progress]: [2/2] Setting up program. 0.206 * [progress]: [Phase 2 of 3] Improving. 0.206 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.207 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.207 * * [simplify]: iters left: 6 (13 enodes) 0.215 * * [simplify]: iters left: 5 (57 enodes) 0.234 * * [simplify]: iters left: 4 (96 enodes) 0.297 * * [simplify]: iters left: 3 (172 enodes) 0.342 * * [simplify]: iters left: 2 (338 enodes) 0.466 * * [simplify]: Extracting #0: cost 1 inf + 0 0.466 * * [simplify]: Extracting #1: cost 41 inf + 0 0.467 * * [simplify]: Extracting #2: cost 120 inf + 1 0.468 * * [simplify]: Extracting #3: cost 166 inf + 127 0.469 * * [simplify]: Extracting #4: cost 166 inf + 467 0.473 * * [simplify]: Extracting #5: cost 119 inf + 9856 0.484 * * [simplify]: Extracting #6: cost 46 inf + 40838 0.507 * * [simplify]: Extracting #7: cost 4 inf + 73302 0.533 * * [simplify]: Extracting #8: cost 0 inf + 76897 0.558 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.558 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.570 * * [progress]: iteration 1 / 4 0.570 * * * [progress]: picking best candidate 0.581 * * * * [pick]: Picked # 0.581 * * * [progress]: localizing error 0.628 * * * [progress]: generating rewritten candidates 0.628 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.656 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.672 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.684 * * * [progress]: generating series expansions 0.684 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.685 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.685 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.685 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.685 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.685 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.685 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.685 * [taylor]: Taking taylor expansion of 1/2 in k 0.685 * [backup-simplify]: Simplify 1/2 into 1/2 0.685 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.685 * [taylor]: Taking taylor expansion of 1 in k 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [taylor]: Taking taylor expansion of k in k 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.685 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.686 * [taylor]: Taking taylor expansion of 2 in k 0.686 * [backup-simplify]: Simplify 2 into 2 0.686 * [taylor]: Taking taylor expansion of (* n PI) in k 0.686 * [taylor]: Taking taylor expansion of n in k 0.686 * [backup-simplify]: Simplify n into n 0.686 * [taylor]: Taking taylor expansion of PI in k 0.686 * [backup-simplify]: Simplify PI into PI 0.686 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.686 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.686 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.686 * [backup-simplify]: Simplify (- 0) into 0 0.686 * [backup-simplify]: Simplify (+ 1 0) into 1 0.687 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.687 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.687 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.687 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.687 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.687 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.687 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.687 * [taylor]: Taking taylor expansion of 1/2 in n 0.687 * [backup-simplify]: Simplify 1/2 into 1/2 0.687 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.687 * [taylor]: Taking taylor expansion of 1 in n 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [taylor]: Taking taylor expansion of k in n 0.687 * [backup-simplify]: Simplify k into k 0.687 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.687 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.687 * [taylor]: Taking taylor expansion of 2 in n 0.687 * [backup-simplify]: Simplify 2 into 2 0.687 * [taylor]: Taking taylor expansion of (* n PI) in n 0.687 * [taylor]: Taking taylor expansion of n in n 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [taylor]: Taking taylor expansion of PI in n 0.687 * [backup-simplify]: Simplify PI into PI 0.687 * [backup-simplify]: Simplify (* 0 PI) into 0 0.688 * [backup-simplify]: Simplify (* 2 0) into 0 0.689 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.690 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.690 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.690 * [backup-simplify]: Simplify (- k) into (- k) 0.690 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.690 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.691 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.692 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.692 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.697 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.697 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.697 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.697 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.697 * [taylor]: Taking taylor expansion of 1/2 in n 0.697 * [backup-simplify]: Simplify 1/2 into 1/2 0.697 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.697 * [taylor]: Taking taylor expansion of 1 in n 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [taylor]: Taking taylor expansion of k in n 0.698 * [backup-simplify]: Simplify k into k 0.698 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.698 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.698 * [taylor]: Taking taylor expansion of 2 in n 0.698 * [backup-simplify]: Simplify 2 into 2 0.698 * [taylor]: Taking taylor expansion of (* n PI) in n 0.698 * [taylor]: Taking taylor expansion of n in n 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [taylor]: Taking taylor expansion of PI in n 0.698 * [backup-simplify]: Simplify PI into PI 0.699 * [backup-simplify]: Simplify (* 0 PI) into 0 0.699 * [backup-simplify]: Simplify (* 2 0) into 0 0.701 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.703 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.704 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.704 * [backup-simplify]: Simplify (- k) into (- k) 0.704 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.704 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.705 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.706 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.707 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.707 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.707 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.707 * [taylor]: Taking taylor expansion of 1/2 in k 0.707 * [backup-simplify]: Simplify 1/2 into 1/2 0.707 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.707 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.707 * [taylor]: Taking taylor expansion of 1 in k 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [taylor]: Taking taylor expansion of k in k 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.707 * [taylor]: Taking taylor expansion of (log n) in k 0.707 * [taylor]: Taking taylor expansion of n in k 0.707 * [backup-simplify]: Simplify n into n 0.707 * [backup-simplify]: Simplify (log n) into (log n) 0.707 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.707 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.707 * [taylor]: Taking taylor expansion of 2 in k 0.707 * [backup-simplify]: Simplify 2 into 2 0.707 * [taylor]: Taking taylor expansion of PI in k 0.707 * [backup-simplify]: Simplify PI into PI 0.707 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.708 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.708 * [backup-simplify]: Simplify (- 0) into 0 0.709 * [backup-simplify]: Simplify (+ 1 0) into 1 0.709 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.710 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.710 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.711 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.712 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.714 * [backup-simplify]: Simplify (- 0) into 0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.716 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.716 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.717 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.717 * [taylor]: Taking taylor expansion of 0 in k 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.718 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [backup-simplify]: Simplify (- 1) into -1 0.721 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.721 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.723 * [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))))) 0.725 * [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))))))) 0.726 * [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))))))) 0.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.728 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.730 * [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 0.730 * [backup-simplify]: Simplify (- 0) into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.732 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.733 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.734 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.734 * [taylor]: Taking taylor expansion of 0 in k 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.737 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.741 * [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 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.750 * [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))))) 0.753 * [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))))) 0.759 * [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))))) 0.759 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.759 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.759 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.759 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.759 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.759 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.759 * [taylor]: Taking taylor expansion of 1/2 in k 0.759 * [backup-simplify]: Simplify 1/2 into 1/2 0.759 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.759 * [taylor]: Taking taylor expansion of 1 in k 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.759 * [taylor]: Taking taylor expansion of k in k 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (/ 1 1) into 1 0.760 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.760 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.760 * [taylor]: Taking taylor expansion of 2 in k 0.760 * [backup-simplify]: Simplify 2 into 2 0.760 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.760 * [taylor]: Taking taylor expansion of PI in k 0.760 * [backup-simplify]: Simplify PI into PI 0.760 * [taylor]: Taking taylor expansion of n in k 0.760 * [backup-simplify]: Simplify n into n 0.760 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.760 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.760 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.760 * [backup-simplify]: Simplify (- 1) into -1 0.761 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.761 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.761 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.761 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.761 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.761 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.761 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.761 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.761 * [taylor]: Taking taylor expansion of 1/2 in n 0.761 * [backup-simplify]: Simplify 1/2 into 1/2 0.761 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.761 * [taylor]: Taking taylor expansion of 1 in n 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.761 * [taylor]: Taking taylor expansion of k in n 0.761 * [backup-simplify]: Simplify k into k 0.761 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.761 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.761 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.761 * [taylor]: Taking taylor expansion of 2 in n 0.761 * [backup-simplify]: Simplify 2 into 2 0.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.761 * [taylor]: Taking taylor expansion of PI in n 0.761 * [backup-simplify]: Simplify PI into PI 0.761 * [taylor]: Taking taylor expansion of n in n 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify (/ PI 1) into PI 0.762 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.763 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.763 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.763 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.763 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.764 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.764 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.765 * [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))))) 0.765 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.765 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.765 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.765 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.765 * [taylor]: Taking taylor expansion of 1/2 in n 0.765 * [backup-simplify]: Simplify 1/2 into 1/2 0.765 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.765 * [taylor]: Taking taylor expansion of 1 in n 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.765 * [taylor]: Taking taylor expansion of k in n 0.765 * [backup-simplify]: Simplify k into k 0.765 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.765 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.765 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.765 * [taylor]: Taking taylor expansion of 2 in n 0.765 * [backup-simplify]: Simplify 2 into 2 0.765 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.765 * [taylor]: Taking taylor expansion of PI in n 0.765 * [backup-simplify]: Simplify PI into PI 0.765 * [taylor]: Taking taylor expansion of n in n 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (/ PI 1) into PI 0.766 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.767 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.767 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.767 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.767 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.768 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.768 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.769 * [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))))) 0.769 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.769 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.769 * [taylor]: Taking taylor expansion of 1/2 in k 0.769 * [backup-simplify]: Simplify 1/2 into 1/2 0.769 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.769 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.769 * [taylor]: Taking taylor expansion of 1 in k 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.769 * [taylor]: Taking taylor expansion of k in k 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.770 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.770 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.770 * [taylor]: Taking taylor expansion of 2 in k 0.770 * [backup-simplify]: Simplify 2 into 2 0.770 * [taylor]: Taking taylor expansion of PI in k 0.770 * [backup-simplify]: Simplify PI into PI 0.770 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.771 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.771 * [taylor]: Taking taylor expansion of (log n) in k 0.771 * [taylor]: Taking taylor expansion of n in k 0.771 * [backup-simplify]: Simplify n into n 0.771 * [backup-simplify]: Simplify (log n) into (log n) 0.771 * [backup-simplify]: Simplify (- 1) into -1 0.772 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.772 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.772 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.773 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.774 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.774 * [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))))) 0.775 * [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))))) 0.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.777 * [backup-simplify]: Simplify (- 0) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.779 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.780 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.781 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.781 * [taylor]: Taking taylor expansion of 0 in k 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.784 * [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 0.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.784 * [backup-simplify]: Simplify (- 0) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.786 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.787 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.788 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.788 * [taylor]: Taking taylor expansion of 0 in k 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.793 * [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 0.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.793 * [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 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.801 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.802 * [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 0.802 * [taylor]: Taking taylor expansion of 0 in k 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.803 * [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)))))) 0.803 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.803 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.804 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.804 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.804 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.804 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.804 * [taylor]: Taking taylor expansion of 1/2 in k 0.804 * [backup-simplify]: Simplify 1/2 into 1/2 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.804 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.804 * [taylor]: Taking taylor expansion of k in k 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (/ 1 1) into 1 0.804 * [taylor]: Taking taylor expansion of 1 in k 0.804 * [backup-simplify]: Simplify 1 into 1 0.804 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.804 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.804 * [taylor]: Taking taylor expansion of -2 in k 0.804 * [backup-simplify]: Simplify -2 into -2 0.804 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.804 * [taylor]: Taking taylor expansion of PI in k 0.804 * [backup-simplify]: Simplify PI into PI 0.804 * [taylor]: Taking taylor expansion of n in k 0.804 * [backup-simplify]: Simplify n into n 0.804 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.804 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.804 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.805 * [backup-simplify]: Simplify (+ 1 0) into 1 0.805 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.805 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.805 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.805 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.805 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.805 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.805 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.805 * [taylor]: Taking taylor expansion of 1/2 in n 0.805 * [backup-simplify]: Simplify 1/2 into 1/2 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.805 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.805 * [taylor]: Taking taylor expansion of k in n 0.805 * [backup-simplify]: Simplify k into k 0.805 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.805 * [taylor]: Taking taylor expansion of 1 in n 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.805 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.805 * [taylor]: Taking taylor expansion of -2 in n 0.805 * [backup-simplify]: Simplify -2 into -2 0.805 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.805 * [taylor]: Taking taylor expansion of PI in n 0.805 * [backup-simplify]: Simplify PI into PI 0.805 * [taylor]: Taking taylor expansion of n in n 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.806 * [backup-simplify]: Simplify (/ PI 1) into PI 0.806 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.807 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.807 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.807 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.808 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.808 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.809 * [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))))) 0.809 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.809 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.809 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.809 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.809 * [taylor]: Taking taylor expansion of 1/2 in n 0.809 * [backup-simplify]: Simplify 1/2 into 1/2 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.809 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.809 * [taylor]: Taking taylor expansion of k in n 0.809 * [backup-simplify]: Simplify k into k 0.809 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.809 * [taylor]: Taking taylor expansion of 1 in n 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.809 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.809 * [taylor]: Taking taylor expansion of -2 in n 0.809 * [backup-simplify]: Simplify -2 into -2 0.809 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.809 * [taylor]: Taking taylor expansion of PI in n 0.809 * [backup-simplify]: Simplify PI into PI 0.809 * [taylor]: Taking taylor expansion of n in n 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (/ PI 1) into PI 0.810 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.811 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.811 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.811 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.812 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.814 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.814 * [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))))) 0.814 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.815 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.815 * [taylor]: Taking taylor expansion of 1/2 in k 0.815 * [backup-simplify]: Simplify 1/2 into 1/2 0.815 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.815 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.815 * [taylor]: Taking taylor expansion of k in k 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [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)) (log n)) in k 0.815 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.815 * [taylor]: Taking taylor expansion of (* -2 PI) 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 in k 0.815 * [backup-simplify]: Simplify PI into PI 0.815 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.816 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.816 * [taylor]: Taking taylor expansion of (log n) in k 0.816 * [taylor]: Taking taylor expansion of n in k 0.816 * [backup-simplify]: Simplify n into n 0.816 * [backup-simplify]: Simplify (log n) into (log n) 0.816 * [backup-simplify]: Simplify (+ 1 0) into 1 0.816 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.817 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.818 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.818 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (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))))) 0.820 * [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))))) 0.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.822 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.824 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.826 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.826 * [taylor]: Taking taylor expansion of 0 in k 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.829 * [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 0.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.829 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.832 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.833 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.833 * [taylor]: Taking taylor expansion of 0 in k 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.838 * [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 0.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.839 * [backup-simplify]: Simplify (+ 0 0) into 0 0.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.840 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.841 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.843 * [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 0.843 * [taylor]: Taking taylor expansion of 0 in k 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.844 * [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)))))) 0.844 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.844 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.844 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.844 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.844 * [taylor]: Taking taylor expansion of 2 in n 0.844 * [backup-simplify]: Simplify 2 into 2 0.844 * [taylor]: Taking taylor expansion of (* n PI) in n 0.844 * [taylor]: Taking taylor expansion of n in n 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [taylor]: Taking taylor expansion of PI in n 0.844 * [backup-simplify]: Simplify PI into PI 0.845 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.845 * [taylor]: Taking taylor expansion of 2 in n 0.845 * [backup-simplify]: Simplify 2 into 2 0.845 * [taylor]: Taking taylor expansion of (* n PI) in n 0.845 * [taylor]: Taking taylor expansion of n in n 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [taylor]: Taking taylor expansion of PI in n 0.845 * [backup-simplify]: Simplify PI into PI 0.845 * [backup-simplify]: Simplify (* 0 PI) into 0 0.845 * [backup-simplify]: Simplify (* 2 0) into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.848 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.848 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.853 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.853 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.856 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.859 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.866 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.867 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.867 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.867 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.867 * [taylor]: Taking taylor expansion of 2 in n 0.867 * [backup-simplify]: Simplify 2 into 2 0.867 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.868 * [taylor]: Taking taylor expansion of PI in n 0.868 * [backup-simplify]: Simplify PI into PI 0.868 * [taylor]: Taking taylor expansion of n in n 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [backup-simplify]: Simplify (/ PI 1) into PI 0.868 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.868 * [taylor]: Taking taylor expansion of 2 in n 0.868 * [backup-simplify]: Simplify 2 into 2 0.868 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.868 * [taylor]: Taking taylor expansion of PI in n 0.868 * [backup-simplify]: Simplify PI into PI 0.868 * [taylor]: Taking taylor expansion of n in n 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.869 * [backup-simplify]: Simplify (/ PI 1) into PI 0.869 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.870 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.874 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.883 * [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 0.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.885 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.885 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.885 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.885 * [taylor]: Taking taylor expansion of -2 in n 0.886 * [backup-simplify]: Simplify -2 into -2 0.886 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.886 * [taylor]: Taking taylor expansion of PI in n 0.886 * [backup-simplify]: Simplify PI into PI 0.886 * [taylor]: Taking taylor expansion of n in n 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify (/ PI 1) into PI 0.886 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.886 * [taylor]: Taking taylor expansion of -2 in n 0.886 * [backup-simplify]: Simplify -2 into -2 0.886 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.886 * [taylor]: Taking taylor expansion of PI in n 0.886 * [backup-simplify]: Simplify PI into PI 0.886 * [taylor]: Taking taylor expansion of n in n 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify (/ PI 1) into PI 0.887 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.888 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.899 * [backup-simplify]: Simplify 0 into 0 0.900 * [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 0.902 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.902 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.903 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.904 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.904 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.904 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.904 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.904 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.904 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.904 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.904 * [taylor]: Taking taylor expansion of 1/2 in k 0.904 * [backup-simplify]: Simplify 1/2 into 1/2 0.904 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.904 * [taylor]: Taking taylor expansion of 1 in k 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of k in k 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.904 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.904 * [taylor]: Taking taylor expansion of 2 in k 0.904 * [backup-simplify]: Simplify 2 into 2 0.904 * [taylor]: Taking taylor expansion of (* n PI) in k 0.904 * [taylor]: Taking taylor expansion of n in k 0.904 * [backup-simplify]: Simplify n into n 0.904 * [taylor]: Taking taylor expansion of PI in k 0.904 * [backup-simplify]: Simplify PI into PI 0.904 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.904 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.904 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.905 * [backup-simplify]: Simplify (- 0) into 0 0.905 * [backup-simplify]: Simplify (+ 1 0) into 1 0.906 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.906 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.906 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.906 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.906 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.906 * [taylor]: Taking taylor expansion of k in k 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (/ 1 1) into 1 0.907 * [backup-simplify]: Simplify (sqrt 0) into 0 0.909 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.909 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.909 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.909 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.909 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.909 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.909 * [taylor]: Taking taylor expansion of 1/2 in n 0.909 * [backup-simplify]: Simplify 1/2 into 1/2 0.909 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.909 * [taylor]: Taking taylor expansion of 1 in n 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [taylor]: Taking taylor expansion of k in n 0.909 * [backup-simplify]: Simplify k into k 0.909 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.909 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.909 * [taylor]: Taking taylor expansion of 2 in n 0.909 * [backup-simplify]: Simplify 2 into 2 0.909 * [taylor]: Taking taylor expansion of (* n PI) in n 0.909 * [taylor]: Taking taylor expansion of n in n 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [taylor]: Taking taylor expansion of PI in n 0.909 * [backup-simplify]: Simplify PI into PI 0.910 * [backup-simplify]: Simplify (* 0 PI) into 0 0.910 * [backup-simplify]: Simplify (* 2 0) into 0 0.912 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.913 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.914 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.914 * [backup-simplify]: Simplify (- k) into (- k) 0.914 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.914 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.916 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.917 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.924 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.924 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.924 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.924 * [taylor]: Taking taylor expansion of k in n 0.924 * [backup-simplify]: Simplify k into k 0.924 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.924 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.925 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.925 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.925 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.925 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.925 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.925 * [taylor]: Taking taylor expansion of 1/2 in n 0.925 * [backup-simplify]: Simplify 1/2 into 1/2 0.925 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.925 * [taylor]: Taking taylor expansion of 1 in n 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [taylor]: Taking taylor expansion of k in n 0.925 * [backup-simplify]: Simplify k into k 0.925 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.925 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.925 * [taylor]: Taking taylor expansion of 2 in n 0.925 * [backup-simplify]: Simplify 2 into 2 0.925 * [taylor]: Taking taylor expansion of (* n PI) in n 0.925 * [taylor]: Taking taylor expansion of n in n 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [taylor]: Taking taylor expansion of PI in n 0.925 * [backup-simplify]: Simplify PI into PI 0.926 * [backup-simplify]: Simplify (* 0 PI) into 0 0.926 * [backup-simplify]: Simplify (* 2 0) into 0 0.928 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.929 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.931 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.931 * [backup-simplify]: Simplify (- k) into (- k) 0.931 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.931 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.932 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.933 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.935 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.935 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.935 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.935 * [taylor]: Taking taylor expansion of k in n 0.935 * [backup-simplify]: Simplify k into k 0.935 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.935 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.936 * [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))) 0.936 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.936 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.936 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.936 * [taylor]: Taking taylor expansion of 1/2 in k 0.936 * [backup-simplify]: Simplify 1/2 into 1/2 0.937 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.937 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.937 * [taylor]: Taking taylor expansion of 1 in k 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [taylor]: Taking taylor expansion of k in k 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.937 * [taylor]: Taking taylor expansion of (log n) in k 0.937 * [taylor]: Taking taylor expansion of n in k 0.937 * [backup-simplify]: Simplify n into n 0.937 * [backup-simplify]: Simplify (log n) into (log n) 0.937 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.937 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.937 * [taylor]: Taking taylor expansion of 2 in k 0.937 * [backup-simplify]: Simplify 2 into 2 0.937 * [taylor]: Taking taylor expansion of PI in k 0.937 * [backup-simplify]: Simplify PI into PI 0.937 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.938 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.939 * [backup-simplify]: Simplify (- 0) into 0 0.939 * [backup-simplify]: Simplify (+ 1 0) into 1 0.940 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.941 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.942 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.943 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.943 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.943 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.944 * [taylor]: Taking taylor expansion of k in k 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [backup-simplify]: Simplify (/ 1 1) into 1 0.944 * [backup-simplify]: Simplify (sqrt 0) into 0 0.946 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.947 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.947 * [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 0.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.952 * [backup-simplify]: Simplify (- 0) into 0 0.952 * [backup-simplify]: Simplify (+ 0 0) into 0 0.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.954 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.955 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.957 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.958 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.958 * [taylor]: Taking taylor expansion of 0 in k 0.958 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.959 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.961 * [backup-simplify]: Simplify (+ 0 0) into 0 0.962 * [backup-simplify]: Simplify (- 1) into -1 0.962 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.964 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.965 * [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))))) 0.968 * [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))))))) 0.972 * [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))))))) 0.973 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.974 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.977 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.980 * [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 0.981 * [backup-simplify]: Simplify (- 0) into 0 0.981 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.983 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.985 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.987 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.989 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.989 * [taylor]: Taking taylor expansion of 0 in k 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.995 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.996 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.999 * [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 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.000 * [backup-simplify]: Simplify (- 0) into 0 1.000 * [backup-simplify]: Simplify (+ 0 0) into 0 1.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.008 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1.018 * [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)))))))) 1.023 * [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)))))))) 1.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.024 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.033 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.033 * [backup-simplify]: Simplify (- 0) into 0 1.034 * [backup-simplify]: Simplify (+ 0 0) into 0 1.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 1.036 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.038 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.041 * [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 1.043 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1.043 * [taylor]: Taking taylor expansion of 0 in k 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.051 * [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 1.052 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.058 * [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 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.059 * [backup-simplify]: Simplify (- 0) into 0 1.060 * [backup-simplify]: Simplify (+ 0 0) into 0 1.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.074 * [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))))))) 1.084 * [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)))))))))))))) 1.091 * [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)))))))))))))) 1.104 * [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)))))))))))))))))))))) 1.104 * [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)) 1.105 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.105 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.105 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.105 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.105 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.105 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.105 * [taylor]: Taking taylor expansion of 1/2 in k 1.105 * [backup-simplify]: Simplify 1/2 into 1/2 1.105 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.105 * [taylor]: Taking taylor expansion of 1 in k 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.105 * [taylor]: Taking taylor expansion of k in k 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.105 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.105 * [taylor]: Taking taylor expansion of 2 in k 1.105 * [backup-simplify]: Simplify 2 into 2 1.105 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.105 * [taylor]: Taking taylor expansion of PI in k 1.105 * [backup-simplify]: Simplify PI into PI 1.106 * [taylor]: Taking taylor expansion of n in k 1.106 * [backup-simplify]: Simplify n into n 1.106 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.106 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.106 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.106 * [backup-simplify]: Simplify (- 1) into -1 1.107 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.107 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.107 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.107 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.107 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.107 * [taylor]: Taking taylor expansion of k in k 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.108 * [backup-simplify]: Simplify (sqrt 0) into 0 1.109 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.109 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.109 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.109 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.109 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.110 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.110 * [taylor]: Taking taylor expansion of 1/2 in n 1.110 * [backup-simplify]: Simplify 1/2 into 1/2 1.110 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.110 * [taylor]: Taking taylor expansion of 1 in n 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.110 * [taylor]: Taking taylor expansion of k in n 1.110 * [backup-simplify]: Simplify k into k 1.110 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.110 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.110 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.110 * [taylor]: Taking taylor expansion of 2 in n 1.110 * [backup-simplify]: Simplify 2 into 2 1.110 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.110 * [taylor]: Taking taylor expansion of PI in n 1.110 * [backup-simplify]: Simplify PI into PI 1.110 * [taylor]: Taking taylor expansion of n in n 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify (/ PI 1) into PI 1.111 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.112 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.112 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.112 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.112 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.114 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.115 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.116 * [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))))) 1.116 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.116 * [taylor]: Taking taylor expansion of k in n 1.116 * [backup-simplify]: Simplify k into k 1.116 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.116 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.116 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.116 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.116 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.116 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.116 * [taylor]: Taking taylor expansion of 1/2 in n 1.116 * [backup-simplify]: Simplify 1/2 into 1/2 1.116 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.117 * [taylor]: Taking taylor expansion of 1 in n 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.117 * [taylor]: Taking taylor expansion of k in n 1.117 * [backup-simplify]: Simplify k into k 1.117 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.117 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.117 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.117 * [taylor]: Taking taylor expansion of 2 in n 1.117 * [backup-simplify]: Simplify 2 into 2 1.117 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.117 * [taylor]: Taking taylor expansion of PI in n 1.117 * [backup-simplify]: Simplify PI into PI 1.117 * [taylor]: Taking taylor expansion of n in n 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [backup-simplify]: Simplify (/ PI 1) into PI 1.118 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.119 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.119 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.119 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.119 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.120 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.122 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.123 * [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))))) 1.123 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.123 * [taylor]: Taking taylor expansion of k in n 1.123 * [backup-simplify]: Simplify k into k 1.123 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.124 * [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)) 1.124 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.124 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.124 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.124 * [taylor]: Taking taylor expansion of 1/2 in k 1.124 * [backup-simplify]: Simplify 1/2 into 1/2 1.124 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.124 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.125 * [taylor]: Taking taylor expansion of 1 in k 1.125 * [backup-simplify]: Simplify 1 into 1 1.125 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.125 * [taylor]: Taking taylor expansion of k in k 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify (/ 1 1) into 1 1.125 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.125 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.125 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.125 * [taylor]: Taking taylor expansion of 2 in k 1.125 * [backup-simplify]: Simplify 2 into 2 1.125 * [taylor]: Taking taylor expansion of PI in k 1.125 * [backup-simplify]: Simplify PI into PI 1.126 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.127 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.127 * [taylor]: Taking taylor expansion of (log n) in k 1.127 * [taylor]: Taking taylor expansion of n in k 1.127 * [backup-simplify]: Simplify n into n 1.127 * [backup-simplify]: Simplify (log n) into (log n) 1.127 * [backup-simplify]: Simplify (- 1) into -1 1.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.128 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.129 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.130 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.131 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.132 * [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))))) 1.132 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.132 * [taylor]: Taking taylor expansion of k in k 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 1 into 1 1.132 * [backup-simplify]: Simplify (sqrt 0) into 0 1.134 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.135 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.135 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.137 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.139 * [backup-simplify]: Simplify (- 0) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.142 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.143 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.144 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.145 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.145 * [taylor]: Taking taylor expansion of 0 in k 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.146 * [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))))))) 1.146 * [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))))))) 1.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.148 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.150 * [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 1.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.150 * [backup-simplify]: Simplify (- 0) into 0 1.151 * [backup-simplify]: Simplify (+ 0 0) into 0 1.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.152 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.153 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.155 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.155 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.156 * [taylor]: Taking taylor expansion of 0 in k 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.159 * [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))))))) 1.159 * [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))))))) 1.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.165 * [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 1.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.165 * [backup-simplify]: Simplify (- 0) into 0 1.166 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.167 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.168 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.173 * [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 1.175 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.175 * [taylor]: Taking taylor expansion of 0 in k 1.175 * [backup-simplify]: Simplify 0 into 0 1.175 * [backup-simplify]: Simplify 0 into 0 1.175 * [backup-simplify]: Simplify 0 into 0 1.175 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.178 * [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))))))) 1.179 * [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))))))) 1.182 * [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)))))))) 1.182 * [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))) 1.182 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.182 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.182 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.182 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.182 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.182 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.182 * [taylor]: Taking taylor expansion of 1/2 in k 1.182 * [backup-simplify]: Simplify 1/2 into 1/2 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.182 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.182 * [taylor]: Taking taylor expansion of k in k 1.182 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify 1 into 1 1.183 * [backup-simplify]: Simplify (/ 1 1) into 1 1.183 * [taylor]: Taking taylor expansion of 1 in k 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.183 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.183 * [taylor]: Taking taylor expansion of -2 in k 1.183 * [backup-simplify]: Simplify -2 into -2 1.183 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.183 * [taylor]: Taking taylor expansion of PI in k 1.183 * [backup-simplify]: Simplify PI into PI 1.183 * [taylor]: Taking taylor expansion of n in k 1.183 * [backup-simplify]: Simplify n into n 1.183 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.183 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.183 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.183 * [backup-simplify]: Simplify (+ 1 0) into 1 1.183 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.183 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.184 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.184 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.184 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.184 * [taylor]: Taking taylor expansion of -1 in k 1.184 * [backup-simplify]: Simplify -1 into -1 1.184 * [taylor]: Taking taylor expansion of k in k 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 1 into 1 1.184 * [backup-simplify]: Simplify (/ -1 1) into -1 1.184 * [backup-simplify]: Simplify (sqrt 0) into 0 1.185 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.185 * [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))))) 1.185 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.185 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.185 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.185 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.185 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.185 * [taylor]: Taking taylor expansion of 1/2 in n 1.185 * [backup-simplify]: Simplify 1/2 into 1/2 1.185 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.185 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.185 * [taylor]: Taking taylor expansion of k in n 1.185 * [backup-simplify]: Simplify k into k 1.185 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.185 * [taylor]: Taking taylor expansion of 1 in n 1.185 * [backup-simplify]: Simplify 1 into 1 1.185 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.185 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.185 * [taylor]: Taking taylor expansion of -2 in n 1.185 * [backup-simplify]: Simplify -2 into -2 1.185 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.185 * [taylor]: Taking taylor expansion of PI in n 1.185 * [backup-simplify]: Simplify PI into PI 1.186 * [taylor]: Taking taylor expansion of n in n 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 1 into 1 1.186 * [backup-simplify]: Simplify (/ PI 1) into PI 1.186 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.187 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.187 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.187 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.188 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.188 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.189 * [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))))) 1.189 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.189 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.189 * [taylor]: Taking taylor expansion of -1 in n 1.189 * [backup-simplify]: Simplify -1 into -1 1.189 * [taylor]: Taking taylor expansion of k in n 1.189 * [backup-simplify]: Simplify k into k 1.189 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.189 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.189 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.190 * [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))) 1.190 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.190 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.190 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.190 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.190 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.190 * [taylor]: Taking taylor expansion of 1/2 in n 1.190 * [backup-simplify]: Simplify 1/2 into 1/2 1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.190 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.190 * [taylor]: Taking taylor expansion of k in n 1.190 * [backup-simplify]: Simplify k into k 1.190 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.190 * [taylor]: Taking taylor expansion of 1 in n 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.190 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.190 * [taylor]: Taking taylor expansion of -2 in n 1.190 * [backup-simplify]: Simplify -2 into -2 1.190 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.190 * [taylor]: Taking taylor expansion of PI in n 1.190 * [backup-simplify]: Simplify PI into PI 1.190 * [taylor]: Taking taylor expansion of n in n 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.191 * [backup-simplify]: Simplify (/ PI 1) into PI 1.191 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.192 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.192 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.192 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.193 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.193 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.194 * [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))))) 1.194 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.194 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.194 * [taylor]: Taking taylor expansion of -1 in n 1.194 * [backup-simplify]: Simplify -1 into -1 1.194 * [taylor]: Taking taylor expansion of k in n 1.194 * [backup-simplify]: Simplify k into k 1.194 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.194 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.194 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.195 * [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))) 1.195 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.195 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.195 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.195 * [taylor]: Taking taylor expansion of 1/2 in k 1.195 * [backup-simplify]: Simplify 1/2 into 1/2 1.195 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.195 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.195 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.195 * [taylor]: Taking taylor expansion of k in k 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 1 into 1 1.196 * [backup-simplify]: Simplify (/ 1 1) into 1 1.196 * [taylor]: Taking taylor expansion of 1 in k 1.196 * [backup-simplify]: Simplify 1 into 1 1.196 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.196 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.196 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.196 * [taylor]: Taking taylor expansion of -2 in k 1.196 * [backup-simplify]: Simplify -2 into -2 1.196 * [taylor]: Taking taylor expansion of PI in k 1.196 * [backup-simplify]: Simplify PI into PI 1.196 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.197 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.197 * [taylor]: Taking taylor expansion of (log n) in k 1.197 * [taylor]: Taking taylor expansion of n in k 1.197 * [backup-simplify]: Simplify n into n 1.197 * [backup-simplify]: Simplify (log n) into (log n) 1.197 * [backup-simplify]: Simplify (+ 1 0) into 1 1.197 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.198 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.198 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.199 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.200 * [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))))) 1.200 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.200 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.200 * [taylor]: Taking taylor expansion of -1 in k 1.200 * [backup-simplify]: Simplify -1 into -1 1.200 * [taylor]: Taking taylor expansion of k in k 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [backup-simplify]: Simplify (/ -1 1) into -1 1.200 * [backup-simplify]: Simplify (sqrt 0) into 0 1.201 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.202 * [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)))))) 1.203 * [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)))))) 1.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.204 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.205 * [backup-simplify]: Simplify (+ 0 0) into 0 1.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.206 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.207 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.208 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.209 * [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 1.209 * [taylor]: Taking taylor expansion of 0 in k 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.211 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.212 * [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))))))) 1.213 * [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))))))) 1.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.216 * [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 1.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.217 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.218 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.220 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.222 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.222 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.223 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.224 * [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 1.224 * [taylor]: Taking taylor expansion of 0 in k 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.233 * [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))))))) 1.234 * [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))))))) 1.238 * [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)))))))))))) 1.238 * * * [progress]: simplifying candidates 1.238 * * * * [progress]: [ 1 / 133 ] simplifiying candidate # 1.238 * * * * [progress]: [ 2 / 133 ] simplifiying candidate # 1.238 * * * * [progress]: [ 3 / 133 ] simplifiying candidate # 1.239 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.239 * * [simplify]: iters left: 6 (13 enodes) 1.247 * * [simplify]: iters left: 5 (54 enodes) 1.265 * * [simplify]: iters left: 4 (97 enodes) 1.297 * * [simplify]: iters left: 3 (250 enodes) 1.402 * * [simplify]: Extracting #0: cost 1 inf + 0 1.402 * * [simplify]: Extracting #1: cost 34 inf + 0 1.402 * * [simplify]: Extracting #2: cost 100 inf + 73 1.403 * * [simplify]: Extracting #3: cost 126 inf + 1867 1.406 * * [simplify]: Extracting #4: cost 46 inf + 20363 1.419 * * [simplify]: Extracting #5: cost 5 inf + 31901 1.428 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.435 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.435 * [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))) 1.435 * * * * [progress]: [ 4 / 133 ] simplifiying candidate # 1.435 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.435 * * [simplify]: iters left: 6 (12 enodes) 1.439 * * [simplify]: iters left: 5 (52 enodes) 1.449 * * [simplify]: iters left: 4 (90 enodes) 1.470 * * [simplify]: iters left: 3 (207 enodes) 1.544 * * [simplify]: Extracting #0: cost 1 inf + 0 1.545 * * [simplify]: Extracting #1: cost 29 inf + 0 1.545 * * [simplify]: Extracting #2: cost 88 inf + 73 1.546 * * [simplify]: Extracting #3: cost 117 inf + 443 1.548 * * [simplify]: Extracting #4: cost 77 inf + 5789 1.556 * * [simplify]: Extracting #5: cost 28 inf + 17508 1.570 * * [simplify]: Extracting #6: cost 0 inf + 26056 1.581 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.582 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.582 * * * * [progress]: [ 5 / 133 ] simplifiying candidate # 1.582 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.582 * * [simplify]: iters left: 6 (11 enodes) 1.589 * * [simplify]: iters left: 5 (51 enodes) 1.607 * * [simplify]: iters left: 4 (97 enodes) 1.631 * * [simplify]: iters left: 3 (201 enodes) 1.718 * * [simplify]: Extracting #0: cost 1 inf + 0 1.718 * * [simplify]: Extracting #1: cost 31 inf + 0 1.718 * * [simplify]: Extracting #2: cost 94 inf + 2 1.719 * * [simplify]: Extracting #3: cost 127 inf + 355 1.722 * * [simplify]: Extracting #4: cost 75 inf + 7402 1.728 * * [simplify]: Extracting #5: cost 31 inf + 16283 1.736 * * [simplify]: Extracting #6: cost 3 inf + 23308 1.741 * * [simplify]: Extracting #7: cost 0 inf + 24140 1.747 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 1.747 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 1.747 * * * * [progress]: [ 6 / 133 ] simplifiying candidate # 1.747 * * * * [progress]: [ 7 / 133 ] simplifiying candidate # 1.747 * [simplify]: Simplifying (* n (* 2 PI)) 1.747 * * [simplify]: iters left: 4 (5 enodes) 1.749 * * [simplify]: iters left: 3 (19 enodes) 1.752 * * [simplify]: iters left: 2 (27 enodes) 1.756 * * [simplify]: iters left: 1 (32 enodes) 1.761 * * [simplify]: Extracting #0: cost 1 inf + 0 1.761 * * [simplify]: Extracting #1: cost 8 inf + 0 1.761 * * [simplify]: Extracting #2: cost 7 inf + 45 1.761 * * [simplify]: Extracting #3: cost 0 inf + 421 1.761 * [simplify]: Simplified to (* (* PI 2) n) 1.761 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.761 * * * * [progress]: [ 8 / 133 ] simplifiying candidate # 1.761 * [simplify]: Simplifying (* n (* 2 PI)) 1.761 * * [simplify]: iters left: 4 (5 enodes) 1.764 * * [simplify]: iters left: 3 (19 enodes) 1.770 * * [simplify]: iters left: 2 (27 enodes) 1.778 * * [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 1.787 * * [simplify]: Extracting #3: cost 0 inf + 421 1.787 * [simplify]: Simplified to (* (* PI 2) n) 1.787 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.787 * * * * [progress]: [ 9 / 133 ] simplifiying candidate # 1.788 * [simplify]: Simplifying (* n (* 2 PI)) 1.788 * * [simplify]: iters left: 4 (5 enodes) 1.794 * * [simplify]: iters left: 3 (19 enodes) 1.801 * * [simplify]: iters left: 2 (27 enodes) 1.809 * * [simplify]: iters left: 1 (32 enodes) 1.817 * * [simplify]: Extracting #0: cost 1 inf + 0 1.817 * * [simplify]: Extracting #1: cost 8 inf + 0 1.817 * * [simplify]: Extracting #2: cost 7 inf + 45 1.817 * * [simplify]: Extracting #3: cost 0 inf + 421 1.818 * [simplify]: Simplified to (* (* PI 2) n) 1.818 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.818 * * * * [progress]: [ 10 / 133 ] simplifiying candidate # 1.818 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 1.818 * * [simplify]: iters left: 5 (8 enodes) 1.823 * * [simplify]: iters left: 4 (31 enodes) 1.834 * * [simplify]: iters left: 3 (51 enodes) 1.851 * * [simplify]: iters left: 2 (85 enodes) 1.870 * * [simplify]: iters left: 1 (152 enodes) 1.901 * * [simplify]: Extracting #0: cost 1 inf + 0 1.901 * * [simplify]: Extracting #1: cost 13 inf + 0 1.901 * * [simplify]: Extracting #2: cost 59 inf + 1 1.903 * * [simplify]: Extracting #3: cost 76 inf + 9 1.904 * * [simplify]: Extracting #4: cost 41 inf + 3303 1.905 * * [simplify]: Extracting #5: cost 16 inf + 10676 1.910 * * [simplify]: Extracting #6: cost 0 inf + 21028 1.915 * * [simplify]: Extracting #7: cost 0 inf + 20456 1.920 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1.920 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 1.920 * * * * [progress]: [ 11 / 133 ] simplifiying candidate # 1.921 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 1.921 * * [simplify]: iters left: 5 (6 enodes) 1.925 * * [simplify]: iters left: 4 (26 enodes) 1.935 * * [simplify]: iters left: 3 (35 enodes) 1.945 * * [simplify]: Extracting #0: cost 1 inf + 0 1.945 * * [simplify]: Extracting #1: cost 3 inf + 0 1.945 * * [simplify]: Extracting #2: cost 8 inf + 0 1.946 * * [simplify]: Extracting #3: cost 11 inf + 2 1.946 * * [simplify]: Extracting #4: cost 8 inf + 87 1.946 * * [simplify]: Extracting #5: cost 2 inf + 500 1.946 * * [simplify]: Extracting #6: cost 0 inf + 746 1.947 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 1.947 * [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))) 1.947 * * * * [progress]: [ 12 / 133 ] simplifiying candidate # 1.947 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 1.947 * * [simplify]: iters left: 5 (6 enodes) 1.951 * * [simplify]: iters left: 4 (26 enodes) 1.961 * * [simplify]: iters left: 3 (35 enodes) 1.971 * * [simplify]: Extracting #0: cost 1 inf + 0 1.971 * * [simplify]: Extracting #1: cost 3 inf + 0 1.971 * * [simplify]: Extracting #2: cost 8 inf + 0 1.971 * * [simplify]: Extracting #3: cost 11 inf + 2 1.972 * * [simplify]: Extracting #4: cost 8 inf + 87 1.972 * * [simplify]: Extracting #5: cost 2 inf + 460 1.972 * * [simplify]: Extracting #6: cost 0 inf + 666 1.972 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 1.972 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 1.973 * * * * [progress]: [ 13 / 133 ] simplifiying candidate # 1.973 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 1.973 * * [simplify]: iters left: 5 (7 enodes) 1.977 * * [simplify]: iters left: 4 (25 enodes) 1.986 * * [simplify]: iters left: 3 (30 enodes) 1.996 * * [simplify]: Extracting #0: cost 1 inf + 0 1.996 * * [simplify]: Extracting #1: cost 4 inf + 0 1.996 * * [simplify]: Extracting #2: cost 8 inf + 0 1.996 * * [simplify]: Extracting #3: cost 10 inf + 82 1.996 * * [simplify]: Extracting #4: cost 7 inf + 206 1.996 * * [simplify]: Extracting #5: cost 2 inf + 575 1.997 * * [simplify]: Extracting #6: cost 1 inf + 818 1.997 * * [simplify]: Extracting #7: cost 0 inf + 1061 1.997 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 1.997 * [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))) 1.997 * * * * [progress]: [ 14 / 133 ] simplifiying candidate # 1.998 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 1.998 * * [simplify]: iters left: 5 (7 enodes) 2.002 * * [simplify]: iters left: 4 (25 enodes) 2.011 * * [simplify]: iters left: 3 (30 enodes) 2.021 * * [simplify]: Extracting #0: cost 1 inf + 0 2.021 * * [simplify]: Extracting #1: cost 4 inf + 0 2.021 * * [simplify]: Extracting #2: cost 8 inf + 0 2.021 * * [simplify]: Extracting #3: cost 10 inf + 42 2.022 * * [simplify]: Extracting #4: cost 7 inf + 126 2.022 * * [simplify]: Extracting #5: cost 2 inf + 495 2.022 * * [simplify]: Extracting #6: cost 1 inf + 698 2.022 * * [simplify]: Extracting #7: cost 0 inf + 901 2.023 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.023 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.023 * * * * [progress]: [ 15 / 133 ] simplifiying candidate # 2.023 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.023 * * [simplify]: iters left: 5 (6 enodes) 2.027 * * [simplify]: iters left: 4 (22 enodes) 2.035 * * [simplify]: iters left: 3 (27 enodes) 2.044 * * [simplify]: Extracting #0: cost 1 inf + 0 2.044 * * [simplify]: Extracting #1: cost 4 inf + 0 2.044 * * [simplify]: Extracting #2: cost 5 inf + 1 2.044 * * [simplify]: Extracting #3: cost 9 inf + 1 2.044 * * [simplify]: Extracting #4: cost 8 inf + 3 2.044 * * [simplify]: Extracting #5: cost 4 inf + 169 2.044 * * [simplify]: Extracting #6: cost 1 inf + 576 2.045 * * [simplify]: Extracting #7: cost 0 inf + 739 2.045 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.045 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k))) 2.045 * * * * [progress]: [ 16 / 133 ] simplifiying candidate # 2.045 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.045 * * [simplify]: iters left: 5 (7 enodes) 2.050 * * [simplify]: iters left: 4 (25 enodes) 2.059 * * [simplify]: iters left: 3 (30 enodes) 2.071 * * [simplify]: Extracting #0: cost 1 inf + 0 2.071 * * [simplify]: Extracting #1: cost 4 inf + 0 2.071 * * [simplify]: Extracting #2: cost 8 inf + 0 2.072 * * [simplify]: Extracting #3: cost 10 inf + 82 2.072 * * [simplify]: Extracting #4: cost 7 inf + 206 2.072 * * [simplify]: Extracting #5: cost 2 inf + 495 2.072 * * [simplify]: Extracting #6: cost 1 inf + 698 2.072 * * [simplify]: Extracting #7: cost 0 inf + 901 2.073 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.073 * [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))) 2.073 * * * * [progress]: [ 17 / 133 ] simplifiying candidate # 2.073 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.073 * * [simplify]: iters left: 5 (7 enodes) 2.078 * * [simplify]: iters left: 4 (25 enodes) 2.084 * * [simplify]: iters left: 3 (30 enodes) 2.089 * * [simplify]: Extracting #0: cost 1 inf + 0 2.089 * * [simplify]: Extracting #1: cost 4 inf + 0 2.090 * * [simplify]: Extracting #2: cost 8 inf + 0 2.090 * * [simplify]: Extracting #3: cost 10 inf + 42 2.090 * * [simplify]: Extracting #4: cost 7 inf + 126 2.090 * * [simplify]: Extracting #5: cost 2 inf + 415 2.090 * * [simplify]: Extracting #6: cost 1 inf + 578 2.090 * * [simplify]: Extracting #7: cost 0 inf + 741 2.090 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.090 * [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))) 2.090 * * * * [progress]: [ 18 / 133 ] simplifiying candidate # 2.090 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.091 * * [simplify]: iters left: 5 (6 enodes) 2.092 * * [simplify]: iters left: 4 (22 enodes) 2.096 * * [simplify]: iters left: 3 (27 enodes) 2.101 * * [simplify]: Extracting #0: cost 1 inf + 0 2.101 * * [simplify]: Extracting #1: cost 4 inf + 0 2.101 * * [simplify]: Extracting #2: cost 5 inf + 1 2.101 * * [simplify]: Extracting #3: cost 9 inf + 1 2.101 * * [simplify]: Extracting #4: cost 8 inf + 3 2.101 * * [simplify]: Extracting #5: cost 4 inf + 169 2.101 * * [simplify]: Extracting #6: cost 1 inf + 456 2.101 * * [simplify]: Extracting #7: cost 0 inf + 579 2.101 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.101 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.102 * * * * [progress]: [ 19 / 133 ] simplifiying candidate # 2.102 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.102 * * [simplify]: iters left: 4 (6 enodes) 2.104 * * [simplify]: iters left: 3 (25 enodes) 2.109 * * [simplify]: iters left: 2 (36 enodes) 2.118 * * [simplify]: iters left: 1 (40 enodes) 2.130 * * [simplify]: Extracting #0: cost 1 inf + 0 2.130 * * [simplify]: Extracting #1: cost 7 inf + 0 2.130 * * [simplify]: Extracting #2: cost 16 inf + 0 2.130 * * [simplify]: Extracting #3: cost 13 inf + 44 2.130 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.131 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.131 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.131 * [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))) 2.131 * * * * [progress]: [ 20 / 133 ] simplifiying candidate # 2.132 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.132 * * [simplify]: iters left: 4 (6 enodes) 2.136 * * [simplify]: iters left: 3 (25 enodes) 2.142 * * [simplify]: iters left: 2 (36 enodes) 2.148 * * [simplify]: iters left: 1 (40 enodes) 2.155 * * [simplify]: Extracting #0: cost 1 inf + 0 2.155 * * [simplify]: Extracting #1: cost 7 inf + 0 2.155 * * [simplify]: Extracting #2: cost 16 inf + 0 2.155 * * [simplify]: Extracting #3: cost 13 inf + 44 2.155 * * [simplify]: Extracting #4: cost 3 inf + 823 2.155 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.155 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.156 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.156 * * * * [progress]: [ 21 / 133 ] simplifiying candidate # 2.156 * [simplify]: Simplifying (/ (- 1 k) 2) 2.156 * * [simplify]: iters left: 4 (5 enodes) 2.158 * * [simplify]: iters left: 3 (23 enodes) 2.163 * * [simplify]: iters left: 2 (32 enodes) 2.168 * * [simplify]: Extracting #0: cost 1 inf + 0 2.168 * * [simplify]: Extracting #1: cost 6 inf + 0 2.168 * * [simplify]: Extracting #2: cost 9 inf + 2 2.168 * * [simplify]: Extracting #3: cost 6 inf + 87 2.168 * * [simplify]: Extracting #4: cost 0 inf + 420 2.168 * [simplify]: Simplified to (/ (- 1 k) 2) 2.168 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.168 * * * * [progress]: [ 22 / 133 ] simplifiying candidate # 2.168 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.168 * * [simplify]: iters left: 5 (8 enodes) 2.175 * * [simplify]: iters left: 4 (31 enodes) 2.185 * * [simplify]: iters left: 3 (45 enodes) 2.197 * * [simplify]: iters left: 2 (51 enodes) 2.211 * * [simplify]: iters left: 1 (52 enodes) 2.225 * * [simplify]: Extracting #0: cost 1 inf + 0 2.225 * * [simplify]: Extracting #1: cost 8 inf + 0 2.225 * * [simplify]: Extracting #2: cost 18 inf + 0 2.226 * * [simplify]: Extracting #3: cost 19 inf + 2 2.226 * * [simplify]: Extracting #4: cost 9 inf + 977 2.226 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.227 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.228 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.228 * [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))) 2.228 * * * * [progress]: [ 23 / 133 ] simplifiying candidate # 2.228 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.229 * * [simplify]: iters left: 5 (8 enodes) 2.235 * * [simplify]: iters left: 4 (31 enodes) 2.244 * * [simplify]: iters left: 3 (45 enodes) 2.257 * * [simplify]: iters left: 2 (51 enodes) 2.271 * * [simplify]: iters left: 1 (52 enodes) 2.285 * * [simplify]: Extracting #0: cost 1 inf + 0 2.286 * * [simplify]: Extracting #1: cost 8 inf + 0 2.286 * * [simplify]: Extracting #2: cost 18 inf + 0 2.286 * * [simplify]: Extracting #3: cost 19 inf + 2 2.286 * * [simplify]: Extracting #4: cost 9 inf + 697 2.287 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.287 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.288 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.288 * [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))) 2.288 * * * * [progress]: [ 24 / 133 ] simplifiying candidate # 2.288 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.288 * * [simplify]: iters left: 5 (7 enodes) 2.294 * * [simplify]: iters left: 4 (29 enodes) 2.303 * * [simplify]: iters left: 3 (43 enodes) 2.314 * * [simplify]: iters left: 2 (47 enodes) 2.329 * * [simplify]: Extracting #0: cost 1 inf + 0 2.329 * * [simplify]: Extracting #1: cost 7 inf + 0 2.329 * * [simplify]: Extracting #2: cost 11 inf + 2 2.330 * * [simplify]: Extracting #3: cost 13 inf + 3 2.330 * * [simplify]: Extracting #4: cost 11 inf + 45 2.330 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.330 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.330 * [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))) 2.331 * * * * [progress]: [ 25 / 133 ] simplifiying candidate # 2.331 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.331 * * [simplify]: iters left: 5 (7 enodes) 2.335 * * [simplify]: iters left: 4 (28 enodes) 2.345 * * [simplify]: iters left: 3 (39 enodes) 2.357 * * [simplify]: iters left: 2 (43 enodes) 2.369 * * [simplify]: Extracting #0: cost 1 inf + 0 2.369 * * [simplify]: Extracting #1: cost 7 inf + 0 2.369 * * [simplify]: Extracting #2: cost 16 inf + 0 2.369 * * [simplify]: Extracting #3: cost 15 inf + 164 2.370 * * [simplify]: Extracting #4: cost 13 inf + 287 2.370 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.370 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.371 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.371 * [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))) 2.371 * * * * [progress]: [ 26 / 133 ] simplifiying candidate # 2.372 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.372 * * [simplify]: iters left: 5 (7 enodes) 2.376 * * [simplify]: iters left: 4 (28 enodes) 2.386 * * [simplify]: iters left: 3 (39 enodes) 2.398 * * [simplify]: iters left: 2 (43 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 15 inf + 84 2.412 * * [simplify]: Extracting #4: cost 13 inf + 167 2.413 * * [simplify]: Extracting #5: cost 5 inf + 900 2.413 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.414 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.414 * [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))) 2.414 * * * * [progress]: [ 27 / 133 ] simplifiying candidate # 2.414 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.414 * * [simplify]: iters left: 5 (6 enodes) 2.419 * * [simplify]: iters left: 4 (26 enodes) 2.425 * * [simplify]: iters left: 3 (35 enodes) 2.431 * * [simplify]: Extracting #0: cost 1 inf + 0 2.431 * * [simplify]: Extracting #1: cost 6 inf + 0 2.431 * * [simplify]: Extracting #2: cost 9 inf + 2 2.431 * * [simplify]: Extracting #3: cost 11 inf + 3 2.431 * * [simplify]: Extracting #4: cost 10 inf + 4 2.431 * * [simplify]: Extracting #5: cost 3 inf + 535 2.431 * * [simplify]: Extracting #6: cost 0 inf + 822 2.432 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.432 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.432 * * * * [progress]: [ 28 / 133 ] simplifiying candidate # 2.432 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.432 * * [simplify]: iters left: 4 (6 enodes) 2.434 * * [simplify]: iters left: 3 (25 enodes) 2.439 * * [simplify]: iters left: 2 (36 enodes) 2.445 * * [simplify]: iters left: 1 (40 enodes) 2.451 * * [simplify]: Extracting #0: cost 1 inf + 0 2.451 * * [simplify]: Extracting #1: cost 7 inf + 0 2.451 * * [simplify]: Extracting #2: cost 16 inf + 0 2.451 * * [simplify]: Extracting #3: cost 13 inf + 44 2.451 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.452 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.452 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.452 * [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))) 2.452 * * * * [progress]: [ 29 / 133 ] simplifiying candidate # 2.452 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.452 * * [simplify]: iters left: 4 (6 enodes) 2.455 * * [simplify]: iters left: 3 (25 enodes) 2.467 * * [simplify]: iters left: 2 (36 enodes) 2.478 * * [simplify]: iters left: 1 (40 enodes) 2.489 * * [simplify]: Extracting #0: cost 1 inf + 0 2.489 * * [simplify]: Extracting #1: cost 7 inf + 0 2.489 * * [simplify]: Extracting #2: cost 16 inf + 0 2.489 * * [simplify]: Extracting #3: cost 13 inf + 44 2.489 * * [simplify]: Extracting #4: cost 3 inf + 823 2.489 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.489 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.490 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.490 * * * * [progress]: [ 30 / 133 ] simplifiying candidate # 2.490 * [simplify]: Simplifying (/ (- 1 k) 2) 2.490 * * [simplify]: iters left: 4 (5 enodes) 2.492 * * [simplify]: iters left: 3 (23 enodes) 2.496 * * [simplify]: iters left: 2 (32 enodes) 2.502 * * [simplify]: Extracting #0: cost 1 inf + 0 2.502 * * [simplify]: Extracting #1: cost 6 inf + 0 2.502 * * [simplify]: Extracting #2: cost 9 inf + 2 2.502 * * [simplify]: Extracting #3: cost 6 inf + 87 2.502 * * [simplify]: Extracting #4: cost 0 inf + 420 2.502 * [simplify]: Simplified to (/ (- 1 k) 2) 2.502 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.502 * * * * [progress]: [ 31 / 133 ] simplifiying candidate # 2.502 * [simplify]: Simplifying (/ (- 1 k) 2) 2.502 * * [simplify]: iters left: 4 (5 enodes) 2.504 * * [simplify]: iters left: 3 (23 enodes) 2.509 * * [simplify]: iters left: 2 (32 enodes) 2.514 * * [simplify]: Extracting #0: cost 1 inf + 0 2.514 * * [simplify]: Extracting #1: cost 6 inf + 0 2.514 * * [simplify]: Extracting #2: cost 9 inf + 2 2.514 * * [simplify]: Extracting #3: cost 6 inf + 87 2.514 * * [simplify]: Extracting #4: cost 0 inf + 420 2.514 * [simplify]: Simplified to (/ (- 1 k) 2) 2.514 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 2.514 * * * * [progress]: [ 32 / 133 ] simplifiying candidate # 2.515 * [simplify]: Simplifying (/ 1 2) 2.515 * * [simplify]: iters left: 2 (3 enodes) 2.518 * * [simplify]: iters left: 1 (12 enodes) 2.522 * * [simplify]: Extracting #0: cost 1 inf + 0 2.522 * * [simplify]: Extracting #1: cost 0 inf + 1 2.522 * [simplify]: Simplified to 1/2 2.522 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 2.522 * * * * [progress]: [ 33 / 133 ] simplifiying candidate # 2.523 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 2.523 * * [simplify]: iters left: 5 (7 enodes) 2.527 * * [simplify]: iters left: 4 (32 enodes) 2.539 * * [simplify]: iters left: 3 (57 enodes) 2.558 * * [simplify]: iters left: 2 (88 enodes) 2.589 * * [simplify]: iters left: 1 (156 enodes) 2.656 * * [simplify]: Extracting #0: cost 1 inf + 0 2.656 * * [simplify]: Extracting #1: cost 13 inf + 0 2.657 * * [simplify]: Extracting #2: cost 49 inf + 2 2.657 * * [simplify]: Extracting #3: cost 80 inf + 6 2.658 * * [simplify]: Extracting #4: cost 58 inf + 1840 2.661 * * [simplify]: Extracting #5: cost 22 inf + 9206 2.667 * * [simplify]: Extracting #6: cost 1 inf + 20886 2.673 * * [simplify]: Extracting #7: cost 0 inf + 21301 2.679 * * [simplify]: Extracting #8: cost 0 inf + 21130 2.685 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 2.685 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 2.686 * * * * [progress]: [ 34 / 133 ] simplifiying candidate # 2.686 * * * * [progress]: [ 35 / 133 ] simplifiying candidate # 2.686 * * * * [progress]: [ 36 / 133 ] simplifiying candidate # 2.686 * * * * [progress]: [ 37 / 133 ] simplifiying candidate # 2.686 * * * * [progress]: [ 38 / 133 ] simplifiying candidate # 2.686 * * * * [progress]: [ 39 / 133 ] simplifiying candidate # 2.686 * * * * [progress]: [ 40 / 133 ] simplifiying candidate # 2.686 * * * * [progress]: [ 41 / 133 ] simplifiying candidate # 2.686 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 2.686 * * * * [progress]: [ 43 / 133 ] simplifiying candidate # 2.686 * * * * [progress]: [ 44 / 133 ] simplifiying candidate # 2.686 * * * * [progress]: [ 45 / 133 ] simplifiying candidate # 2.687 * [simplify]: Simplifying (* n (* 2 PI)) 2.687 * * [simplify]: iters left: 4 (5 enodes) 2.690 * * [simplify]: iters left: 3 (19 enodes) 2.696 * * [simplify]: iters left: 2 (27 enodes) 2.704 * * [simplify]: iters left: 1 (32 enodes) 2.712 * * [simplify]: Extracting #0: cost 1 inf + 0 2.712 * * [simplify]: Extracting #1: cost 8 inf + 0 2.713 * * [simplify]: Extracting #2: cost 7 inf + 45 2.713 * * [simplify]: Extracting #3: cost 0 inf + 421 2.713 * [simplify]: Simplified to (* (* PI 2) n) 2.713 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.713 * * * * [progress]: [ 46 / 133 ] simplifiying candidate # 2.714 * [simplify]: Simplifying (* n (* 2 PI)) 2.714 * * [simplify]: iters left: 4 (5 enodes) 2.717 * * [simplify]: iters left: 3 (19 enodes) 2.722 * * [simplify]: iters left: 2 (27 enodes) 2.730 * * [simplify]: iters left: 1 (32 enodes) 2.738 * * [simplify]: Extracting #0: cost 1 inf + 0 2.739 * * [simplify]: Extracting #1: cost 8 inf + 0 2.739 * * [simplify]: Extracting #2: cost 7 inf + 45 2.739 * * [simplify]: Extracting #3: cost 0 inf + 421 2.739 * [simplify]: Simplified to (* (* PI 2) n) 2.739 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.739 * * * * [progress]: [ 47 / 133 ] simplifiying candidate # 2.739 * * * * [progress]: [ 48 / 133 ] simplifiying candidate # 2.740 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 2.740 * * [simplify]: iters left: 5 (8 enodes) 2.749 * * [simplify]: iters left: 4 (28 enodes) 2.758 * * [simplify]: iters left: 3 (36 enodes) 2.766 * * [simplify]: iters left: 2 (42 enodes) 2.771 * * [simplify]: Extracting #0: cost 1 inf + 0 2.771 * * [simplify]: Extracting #1: cost 8 inf + 0 2.771 * * [simplify]: Extracting #2: cost 17 inf + 0 2.772 * * [simplify]: Extracting #3: cost 12 inf + 145 2.772 * * [simplify]: Extracting #4: cost 5 inf + 1197 2.772 * * [simplify]: Extracting #5: cost 1 inf + 1925 2.772 * * [simplify]: Extracting #6: cost 0 inf + 2107 2.773 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 2.773 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.773 * * * * [progress]: [ 49 / 133 ] simplifiying candidate # 2.773 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 2.773 * * [simplify]: iters left: 5 (7 enodes) 2.775 * * [simplify]: iters left: 4 (26 enodes) 2.779 * * [simplify]: iters left: 3 (35 enodes) 2.785 * * [simplify]: iters left: 2 (44 enodes) 2.792 * * [simplify]: Extracting #0: cost 1 inf + 0 2.792 * * [simplify]: Extracting #1: cost 8 inf + 0 2.792 * * [simplify]: Extracting #2: cost 18 inf + 0 2.792 * * [simplify]: Extracting #3: cost 15 inf + 74 2.793 * * [simplify]: Extracting #4: cost 8 inf + 554 2.793 * * [simplify]: Extracting #5: cost 0 inf + 1911 2.794 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 2.794 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.794 * * * * [progress]: [ 50 / 133 ] simplifiying candidate # 2.794 * * * * [progress]: [ 51 / 133 ] simplifiying candidate # 2.794 * * * * [progress]: [ 52 / 133 ] simplifiying candidate # 2.794 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 2.794 * * [simplify]: iters left: 6 (11 enodes) 2.802 * * [simplify]: iters left: 5 (48 enodes) 2.814 * * [simplify]: iters left: 4 (121 enodes) 2.857 * * [simplify]: iters left: 3 (348 enodes) 3.058 * * [simplify]: Extracting #0: cost 1 inf + 0 3.058 * * [simplify]: Extracting #1: cost 67 inf + 0 3.059 * * [simplify]: Extracting #2: cost 165 inf + 786 3.062 * * [simplify]: Extracting #3: cost 85 inf + 10177 3.068 * * [simplify]: Extracting #4: cost 9 inf + 26399 3.077 * * [simplify]: Extracting #5: cost 0 inf + 28546 3.084 * * [simplify]: Extracting #6: cost 0 inf + 28506 3.090 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 3.090 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 3.090 * * * * [progress]: [ 53 / 133 ] simplifiying candidate # 3.090 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 3.090 * * [simplify]: iters left: 6 (9 enodes) 3.094 * * [simplify]: iters left: 5 (45 enodes) 3.108 * * [simplify]: iters left: 4 (117 enodes) 3.152 * * [simplify]: iters left: 3 (374 enodes) 3.430 * * [simplify]: Extracting #0: cost 1 inf + 0 3.430 * * [simplify]: Extracting #1: cost 77 inf + 0 3.432 * * [simplify]: Extracting #2: cost 184 inf + 984 3.439 * * [simplify]: Extracting #3: cost 106 inf + 11690 3.461 * * [simplify]: Extracting #4: cost 6 inf + 30376 3.479 * * [simplify]: Extracting #5: cost 0 inf + 31644 3.497 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 3.497 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 3.497 * * * * [progress]: [ 54 / 133 ] simplifiying candidate # 3.498 * * * * [progress]: [ 55 / 133 ] simplifiying candidate # 3.498 * * * * [progress]: [ 56 / 133 ] simplifiying candidate # 3.498 * * * * [progress]: [ 57 / 133 ] simplifiying candidate # 3.498 * * * * [progress]: [ 58 / 133 ] simplifiying candidate # 3.498 * * * * [progress]: [ 59 / 133 ] simplifiying candidate # 3.498 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 3.498 * * [simplify]: iters left: 3 (3 enodes) 3.500 * * [simplify]: iters left: 2 (9 enodes) 3.502 * * [simplify]: Extracting #0: cost 1 inf + 0 3.502 * * [simplify]: Extracting #1: cost 3 inf + 0 3.502 * * [simplify]: Extracting #2: cost 5 inf + 0 3.502 * * [simplify]: Extracting #3: cost 4 inf + 1 3.502 * * [simplify]: Extracting #4: cost 0 inf + 405 3.502 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 3.503 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.503 * * * * [progress]: [ 60 / 133 ] simplifiying candidate # 3.503 * [simplify]: Simplifying (sqrt n) 3.503 * * [simplify]: iters left: 1 (2 enodes) 3.504 * * [simplify]: Extracting #0: cost 1 inf + 0 3.504 * * [simplify]: Extracting #1: cost 3 inf + 0 3.504 * * [simplify]: Extracting #2: cost 2 inf + 1 3.504 * * [simplify]: Extracting #3: cost 0 inf + 83 3.504 * [simplify]: Simplified to (sqrt n) 3.504 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.504 * * * * [progress]: [ 61 / 133 ] simplifiying candidate # 3.504 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 3.504 * * * * [progress]: [ 63 / 133 ] simplifiying candidate # 3.504 * * * * [progress]: [ 64 / 133 ] simplifiying candidate # 3.504 * * * * [progress]: [ 65 / 133 ] simplifiying candidate # 3.505 * * * * [progress]: [ 66 / 133 ] simplifiying candidate # 3.505 * * * * [progress]: [ 67 / 133 ] simplifiying candidate # 3.505 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.505 * * [simplify]: iters left: 6 (16 enodes) 3.515 * * [simplify]: iters left: 5 (66 enodes) 3.537 * * [simplify]: iters left: 4 (113 enodes) 3.586 * * [simplify]: iters left: 3 (306 enodes) 3.744 * * [simplify]: Extracting #0: cost 1 inf + 0 3.744 * * [simplify]: Extracting #1: cost 33 inf + 0 3.745 * * [simplify]: Extracting #2: cost 89 inf + 0 3.746 * * [simplify]: Extracting #3: cost 132 inf + 603 3.749 * * [simplify]: Extracting #4: cost 115 inf + 7823 3.763 * * [simplify]: Extracting #5: cost 21 inf + 36693 3.782 * * [simplify]: Extracting #6: cost 0 inf + 43786 3.801 * * [simplify]: Extracting #7: cost 0 inf + 43785 3.821 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 3.821 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))))) 3.821 * * * * [progress]: [ 68 / 133 ] simplifiying candidate # 3.821 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.822 * * [simplify]: iters left: 6 (15 enodes) 3.834 * * [simplify]: iters left: 5 (64 enodes) 3.855 * * [simplify]: iters left: 4 (106 enodes) 3.895 * * [simplify]: iters left: 3 (247 enodes) 3.994 * * [simplify]: Extracting #0: cost 1 inf + 0 3.994 * * [simplify]: Extracting #1: cost 29 inf + 0 3.995 * * [simplify]: Extracting #2: cost 82 inf + 0 3.995 * * [simplify]: Extracting #3: cost 122 inf + 147 3.996 * * [simplify]: Extracting #4: cost 128 inf + 2275 4.000 * * [simplify]: Extracting #5: cost 42 inf + 21718 4.006 * * [simplify]: Extracting #6: cost 4 inf + 33778 4.019 * * [simplify]: Extracting #7: cost 0 inf + 35144 4.033 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 4.034 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 4.034 * * * * [progress]: [ 69 / 133 ] simplifiying candidate # 4.034 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.034 * * [simplify]: iters left: 6 (14 enodes) 4.043 * * [simplify]: iters left: 5 (63 enodes) 4.068 * * [simplify]: iters left: 4 (113 enodes) 4.103 * * [simplify]: iters left: 3 (229 enodes) 4.178 * * [simplify]: Extracting #0: cost 1 inf + 0 4.178 * * [simplify]: Extracting #1: cost 23 inf + 0 4.179 * * [simplify]: Extracting #2: cost 83 inf + 0 4.179 * * [simplify]: Extracting #3: cost 120 inf + 284 4.180 * * [simplify]: Extracting #4: cost 111 inf + 4879 4.185 * * [simplify]: Extracting #5: cost 26 inf + 24636 4.197 * * [simplify]: Extracting #6: cost 0 inf + 31546 4.204 * * [simplify]: Extracting #7: cost 0 inf + 31046 4.211 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.211 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.211 * * * * [progress]: [ 70 / 133 ] simplifiying candidate # 4.211 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.212 * * [simplify]: iters left: 6 (14 enodes) 4.216 * * [simplify]: iters left: 5 (63 enodes) 4.227 * * [simplify]: iters left: 4 (113 enodes) 4.270 * * [simplify]: iters left: 3 (229 enodes) 4.388 * * [simplify]: Extracting #0: cost 1 inf + 0 4.389 * * [simplify]: Extracting #1: cost 23 inf + 0 4.389 * * [simplify]: Extracting #2: cost 83 inf + 0 4.390 * * [simplify]: Extracting #3: cost 120 inf + 284 4.392 * * [simplify]: Extracting #4: cost 111 inf + 4879 4.401 * * [simplify]: Extracting #5: cost 26 inf + 24636 4.414 * * [simplify]: Extracting #6: cost 0 inf + 31546 4.423 * * [simplify]: Extracting #7: cost 0 inf + 31046 4.429 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.430 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.430 * * * * [progress]: [ 71 / 133 ] simplifiying candidate # 4.430 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.430 * * [simplify]: iters left: 6 (14 enodes) 4.434 * * [simplify]: iters left: 5 (61 enodes) 4.446 * * [simplify]: iters left: 4 (112 enodes) 4.481 * * [simplify]: iters left: 3 (219 enodes) 4.553 * * [simplify]: Extracting #0: cost 1 inf + 0 4.553 * * [simplify]: Extracting #1: cost 24 inf + 0 4.554 * * [simplify]: Extracting #2: cost 109 inf + 0 4.555 * * [simplify]: Extracting #3: cost 171 inf + 75 4.556 * * [simplify]: Extracting #4: cost 167 inf + 904 4.560 * * [simplify]: Extracting #5: cost 91 inf + 14562 4.572 * * [simplify]: Extracting #6: cost 10 inf + 36286 4.586 * * [simplify]: Extracting #7: cost 0 inf + 40306 4.600 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 4.600 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 4.600 * * * * [progress]: [ 72 / 133 ] simplifiying candidate # 4.601 * * * * [progress]: [ 73 / 133 ] simplifiying candidate # 4.601 * * * * [progress]: [ 74 / 133 ] simplifiying candidate # 4.601 * [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))) 4.601 * * [simplify]: iters left: 6 (16 enodes) 4.616 * * [simplify]: iters left: 5 (72 enodes) 4.642 * * [simplify]: iters left: 4 (165 enodes) 4.725 * * [simplify]: iters left: 3 (474 enodes) 4.999 * * [simplify]: Extracting #0: cost 1 inf + 0 5.000 * * [simplify]: Extracting #1: cost 172 inf + 0 5.003 * * [simplify]: Extracting #2: cost 449 inf + 1 5.006 * * [simplify]: Extracting #3: cost 500 inf + 248 5.011 * * [simplify]: Extracting #4: cost 485 inf + 2081 5.024 * * [simplify]: Extracting #5: cost 365 inf + 63723 5.054 * * [simplify]: Extracting #6: cost 66 inf + 281431 5.130 * * [simplify]: Extracting #7: cost 0 inf + 324121 5.198 * * [simplify]: Extracting #8: cost 0 inf + 321869 5.264 * [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)))) 5.264 * [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)))))) 5.264 * * * * [progress]: [ 75 / 133 ] simplifiying candidate # 5.265 * * * * [progress]: [ 76 / 133 ] simplifiying candidate # 5.265 * * * * [progress]: [ 77 / 133 ] simplifiying candidate # 5.265 * * * * [progress]: [ 78 / 133 ] simplifiying candidate # 5.265 * * * * [progress]: [ 79 / 133 ] simplifiying candidate # 5.265 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.265 * * [simplify]: iters left: 6 (11 enodes) 5.272 * * [simplify]: iters left: 5 (46 enodes) 5.289 * * [simplify]: iters left: 4 (79 enodes) 5.305 * * [simplify]: iters left: 3 (135 enodes) 5.333 * * [simplify]: iters left: 2 (270 enodes) 5.402 * * [simplify]: Extracting #0: cost 1 inf + 0 5.402 * * [simplify]: Extracting #1: cost 56 inf + 0 5.402 * * [simplify]: Extracting #2: cost 151 inf + 0 5.403 * * [simplify]: Extracting #3: cost 211 inf + 3 5.405 * * [simplify]: Extracting #4: cost 182 inf + 8248 5.410 * * [simplify]: Extracting #5: cost 108 inf + 32321 5.423 * * [simplify]: Extracting #6: cost 40 inf + 73343 5.442 * * [simplify]: Extracting #7: cost 0 inf + 103841 5.455 * * [simplify]: Extracting #8: cost 0 inf + 103639 5.468 * * [simplify]: Extracting #9: cost 0 inf + 103517 5.481 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.481 * [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))))) 5.481 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 5.481 * * [simplify]: iters left: 6 (11 enodes) 5.487 * * [simplify]: iters left: 5 (45 enodes) 5.495 * * [simplify]: iters left: 4 (68 enodes) 5.510 * * [simplify]: iters left: 3 (110 enodes) 5.540 * * [simplify]: iters left: 2 (217 enodes) 5.612 * * [simplify]: iters left: 1 (458 enodes) 5.868 * * [simplify]: Extracting #0: cost 1 inf + 0 5.868 * * [simplify]: Extracting #1: cost 45 inf + 0 5.869 * * [simplify]: Extracting #2: cost 132 inf + 0 5.870 * * [simplify]: Extracting #3: cost 212 inf + 3 5.871 * * [simplify]: Extracting #4: cost 213 inf + 801 5.874 * * [simplify]: Extracting #5: cost 140 inf + 15314 5.891 * * [simplify]: Extracting #6: cost 26 inf + 94405 5.923 * * [simplify]: Extracting #7: cost 0 inf + 113797 5.956 * * [simplify]: Extracting #8: cost 0 inf + 112990 5.982 * * [simplify]: Extracting #9: cost 0 inf + 111447 5.998 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 5.998 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 5.999 * * * * [progress]: [ 80 / 133 ] simplifiying candidate # 5.999 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 5.999 * * [simplify]: iters left: 6 (11 enodes) 6.005 * * [simplify]: iters left: 5 (45 enodes) 6.021 * * [simplify]: iters left: 4 (72 enodes) 6.046 * * [simplify]: iters left: 3 (113 enodes) 6.086 * * [simplify]: iters left: 2 (202 enodes) 6.170 * * [simplify]: iters left: 1 (423 enodes) 6.732 * * [simplify]: Extracting #0: cost 1 inf + 0 6.732 * * [simplify]: Extracting #1: cost 45 inf + 0 6.733 * * [simplify]: Extracting #2: cost 135 inf + 0 6.734 * * [simplify]: Extracting #3: cost 200 inf + 4 6.737 * * [simplify]: Extracting #4: cost 178 inf + 4357 6.747 * * [simplify]: Extracting #5: cost 104 inf + 31155 6.764 * * [simplify]: Extracting #6: cost 30 inf + 80538 6.776 * * [simplify]: Extracting #7: cost 0 inf + 106837 6.804 * * [simplify]: Extracting #8: cost 0 inf + 104726 6.829 * * [simplify]: Extracting #9: cost 0 inf + 104144 6.855 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 6.855 * [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))))) 6.856 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 6.856 * * [simplify]: iters left: 6 (11 enodes) 6.862 * * [simplify]: iters left: 5 (45 enodes) 6.877 * * [simplify]: iters left: 4 (68 enodes) 6.899 * * [simplify]: iters left: 3 (110 enodes) 6.922 * * [simplify]: iters left: 2 (217 enodes) 6.991 * * [simplify]: iters left: 1 (458 enodes) 7.164 * * [simplify]: Extracting #0: cost 1 inf + 0 7.164 * * [simplify]: Extracting #1: cost 45 inf + 0 7.164 * * [simplify]: Extracting #2: cost 132 inf + 0 7.165 * * [simplify]: Extracting #3: cost 212 inf + 3 7.166 * * [simplify]: Extracting #4: cost 213 inf + 841 7.169 * * [simplify]: Extracting #5: cost 140 inf + 15394 7.185 * * [simplify]: Extracting #6: cost 26 inf + 94485 7.213 * * [simplify]: Extracting #7: cost 0 inf + 113877 7.229 * * [simplify]: Extracting #8: cost 0 inf + 113070 7.246 * * [simplify]: Extracting #9: cost 0 inf + 111527 7.271 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 7.271 * [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))))) 7.271 * * * * [progress]: [ 81 / 133 ] simplifiying candidate # 7.272 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.272 * * [simplify]: iters left: 6 (10 enodes) 7.278 * * [simplify]: iters left: 5 (41 enodes) 7.292 * * [simplify]: iters left: 4 (68 enodes) 7.319 * * [simplify]: iters left: 3 (109 enodes) 7.339 * * [simplify]: iters left: 2 (194 enodes) 7.400 * * [simplify]: iters left: 1 (414 enodes) 7.603 * * [simplify]: Extracting #0: cost 1 inf + 0 7.603 * * [simplify]: Extracting #1: cost 45 inf + 0 7.604 * * [simplify]: Extracting #2: cost 141 inf + 0 7.606 * * [simplify]: Extracting #3: cost 206 inf + 4 7.609 * * [simplify]: Extracting #4: cost 180 inf + 9439 7.614 * * [simplify]: Extracting #5: cost 108 inf + 27286 7.626 * * [simplify]: Extracting #6: cost 36 inf + 72454 7.641 * * [simplify]: Extracting #7: cost 0 inf + 101831 7.662 * * [simplify]: Extracting #8: cost 0 inf + 101671 7.690 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.690 * [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))))) 7.690 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.690 * * [simplify]: iters left: 6 (11 enodes) 7.696 * * [simplify]: iters left: 5 (45 enodes) 7.709 * * [simplify]: iters left: 4 (68 enodes) 7.732 * * [simplify]: iters left: 3 (110 enodes) 7.757 * * [simplify]: iters left: 2 (217 enodes) 7.824 * * [simplify]: iters left: 1 (458 enodes) 8.011 * * [simplify]: Extracting #0: cost 1 inf + 0 8.011 * * [simplify]: Extracting #1: cost 45 inf + 0 8.012 * * [simplify]: Extracting #2: cost 132 inf + 0 8.013 * * [simplify]: Extracting #3: cost 212 inf + 3 8.014 * * [simplify]: Extracting #4: cost 213 inf + 761 8.017 * * [simplify]: Extracting #5: cost 140 inf + 15034 8.029 * * [simplify]: Extracting #6: cost 26 inf + 92245 8.056 * * [simplify]: Extracting #7: cost 0 inf + 111037 8.088 * * [simplify]: Extracting #8: cost 0 inf + 110230 8.124 * * [simplify]: Extracting #9: cost 0 inf + 108687 8.148 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 8.148 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 8.148 * * * * [progress]: [ 82 / 133 ] simplifiying candidate # 8.148 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 8.148 * * [simplify]: iters left: 6 (9 enodes) 8.151 * * [simplify]: iters left: 5 (38 enodes) 8.159 * * [simplify]: iters left: 4 (63 enodes) 8.169 * * [simplify]: iters left: 3 (100 enodes) 8.198 * * [simplify]: iters left: 2 (175 enodes) 8.242 * * [simplify]: iters left: 1 (360 enodes) 8.392 * * [simplify]: Extracting #0: cost 1 inf + 0 8.393 * * [simplify]: Extracting #1: cost 52 inf + 0 8.394 * * [simplify]: Extracting #2: cost 150 inf + 3 8.395 * * [simplify]: Extracting #3: cost 190 inf + 8 8.398 * * [simplify]: Extracting #4: cost 161 inf + 3039 8.402 * * [simplify]: Extracting #5: cost 116 inf + 9850 8.417 * * [simplify]: Extracting #6: cost 35 inf + 60283 8.440 * * [simplify]: Extracting #7: cost 2 inf + 86206 8.465 * * [simplify]: Extracting #8: cost 0 inf + 87719 8.489 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 8.490 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 8.490 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 8.490 * * [simplify]: iters left: 6 (10 enodes) 8.496 * * [simplify]: iters left: 5 (42 enodes) 8.511 * * [simplify]: iters left: 4 (65 enodes) 8.536 * * [simplify]: iters left: 3 (104 enodes) 8.576 * * [simplify]: iters left: 2 (206 enodes) 8.626 * * [simplify]: iters left: 1 (435 enodes) 8.805 * * [simplify]: Extracting #0: cost 1 inf + 0 8.805 * * [simplify]: Extracting #1: cost 47 inf + 0 8.806 * * [simplify]: Extracting #2: cost 137 inf + 0 8.809 * * [simplify]: Extracting #3: cost 210 inf + 45 8.810 * * [simplify]: Extracting #4: cost 204 inf + 1134 8.812 * * [simplify]: Extracting #5: cost 148 inf + 9351 8.819 * * [simplify]: Extracting #6: cost 67 inf + 53607 8.834 * * [simplify]: Extracting #7: cost 1 inf + 112920 8.861 * * [simplify]: Extracting #8: cost 0 inf + 111430 8.892 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 8.892 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 8.892 * * * * [progress]: [ 83 / 133 ] simplifiying candidate # 8.892 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.892 * * [simplify]: iters left: 6 (10 enodes) 8.898 * * [simplify]: iters left: 5 (41 enodes) 8.912 * * [simplify]: iters left: 4 (68 enodes) 8.927 * * [simplify]: iters left: 3 (109 enodes) 8.948 * * [simplify]: iters left: 2 (194 enodes) 9.003 * * [simplify]: iters left: 1 (414 enodes) 9.230 * * [simplify]: Extracting #0: cost 1 inf + 0 9.230 * * [simplify]: Extracting #1: cost 45 inf + 0 9.231 * * [simplify]: Extracting #2: cost 141 inf + 0 9.232 * * [simplify]: Extracting #3: cost 206 inf + 4 9.236 * * [simplify]: Extracting #4: cost 180 inf + 9439 9.251 * * [simplify]: Extracting #5: cost 108 inf + 27286 9.273 * * [simplify]: Extracting #6: cost 36 inf + 72454 9.304 * * [simplify]: Extracting #7: cost 0 inf + 101831 9.336 * * [simplify]: Extracting #8: cost 0 inf + 101671 9.352 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.352 * [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))))) 9.352 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.353 * * [simplify]: iters left: 6 (11 enodes) 9.356 * * [simplify]: iters left: 5 (45 enodes) 9.364 * * [simplify]: iters left: 4 (68 enodes) 9.387 * * [simplify]: iters left: 3 (110 enodes) 9.429 * * [simplify]: iters left: 2 (217 enodes) 9.516 * * [simplify]: iters left: 1 (458 enodes) 9.717 * * [simplify]: Extracting #0: cost 1 inf + 0 9.718 * * [simplify]: Extracting #1: cost 45 inf + 0 9.718 * * [simplify]: Extracting #2: cost 132 inf + 0 9.720 * * [simplify]: Extracting #3: cost 212 inf + 3 9.722 * * [simplify]: Extracting #4: cost 213 inf + 761 9.727 * * [simplify]: Extracting #5: cost 140 inf + 15034 9.752 * * [simplify]: Extracting #6: cost 26 inf + 92245 9.785 * * [simplify]: Extracting #7: cost 0 inf + 111037 9.818 * * [simplify]: Extracting #8: cost 0 inf + 110230 9.851 * * [simplify]: Extracting #9: cost 0 inf + 108687 9.877 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 9.877 * [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))))) 9.878 * * * * [progress]: [ 84 / 133 ] simplifiying candidate # 9.878 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 9.878 * * [simplify]: iters left: 6 (8 enodes) 9.881 * * [simplify]: iters left: 5 (33 enodes) 9.888 * * [simplify]: iters left: 4 (56 enodes) 9.899 * * [simplify]: iters left: 3 (98 enodes) 9.939 * * [simplify]: iters left: 2 (203 enodes) 10.026 * * [simplify]: iters left: 1 (443 enodes) 10.295 * * [simplify]: Extracting #0: cost 1 inf + 0 10.295 * * [simplify]: Extracting #1: cost 47 inf + 0 10.296 * * [simplify]: Extracting #2: cost 155 inf + 3 10.297 * * [simplify]: Extracting #3: cost 207 inf + 8 10.298 * * [simplify]: Extracting #4: cost 189 inf + 2296 10.301 * * [simplify]: Extracting #5: cost 112 inf + 20090 10.316 * * [simplify]: Extracting #6: cost 19 inf + 81064 10.347 * * [simplify]: Extracting #7: cost 0 inf + 94833 10.372 * * [simplify]: Extracting #8: cost 0 inf + 93433 10.396 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 10.396 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 10.396 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 10.396 * * [simplify]: iters left: 6 (10 enodes) 10.403 * * [simplify]: iters left: 5 (42 enodes) 10.414 * * [simplify]: iters left: 4 (65 enodes) 10.425 * * [simplify]: iters left: 3 (104 enodes) 10.455 * * [simplify]: iters left: 2 (206 enodes) 10.505 * * [simplify]: iters left: 1 (435 enodes) 10.672 * * [simplify]: Extracting #0: cost 1 inf + 0 10.672 * * [simplify]: Extracting #1: cost 47 inf + 0 10.672 * * [simplify]: Extracting #2: cost 137 inf + 0 10.673 * * [simplify]: Extracting #3: cost 210 inf + 45 10.674 * * [simplify]: Extracting #4: cost 204 inf + 1134 10.676 * * [simplify]: Extracting #5: cost 148 inf + 9351 10.683 * * [simplify]: Extracting #6: cost 67 inf + 53607 10.709 * * [simplify]: Extracting #7: cost 1 inf + 112920 10.727 * * [simplify]: Extracting #8: cost 0 inf + 111430 10.742 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 10.742 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 10.742 * * * * [progress]: [ 85 / 133 ] simplifiying candidate # 10.743 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 10.743 * * [simplify]: iters left: 6 (16 enodes) 10.748 * * [simplify]: iters left: 5 (69 enodes) 10.774 * * [simplify]: iters left: 4 (117 enodes) 10.796 * * [simplify]: iters left: 3 (164 enodes) 10.831 * * [simplify]: iters left: 2 (236 enodes) 10.884 * * [simplify]: iters left: 1 (387 enodes) 11.030 * * [simplify]: Extracting #0: cost 1 inf + 0 11.030 * * [simplify]: Extracting #1: cost 11 inf + 0 11.031 * * [simplify]: Extracting #2: cost 22 inf + 0 11.031 * * [simplify]: Extracting #3: cost 48 inf + 0 11.031 * * [simplify]: Extracting #4: cost 120 inf + 2 11.033 * * [simplify]: Extracting #5: cost 150 inf + 787 11.036 * * [simplify]: Extracting #6: cost 110 inf + 5219 11.044 * * [simplify]: Extracting #7: cost 48 inf + 27777 11.061 * * [simplify]: Extracting #8: cost 12 inf + 58840 11.085 * * [simplify]: Extracting #9: cost 0 inf + 68408 11.106 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 11.106 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 11.107 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 11.107 * * [simplify]: iters left: 6 (14 enodes) 11.115 * * [simplify]: iters left: 5 (57 enodes) 11.134 * * [simplify]: iters left: 4 (90 enodes) 11.163 * * [simplify]: iters left: 3 (127 enodes) 11.205 * * [simplify]: iters left: 2 (195 enodes) 11.272 * * [simplify]: iters left: 1 (356 enodes) 11.450 * * [simplify]: Extracting #0: cost 1 inf + 0 11.450 * * [simplify]: Extracting #1: cost 4 inf + 0 11.450 * * [simplify]: Extracting #2: cost 8 inf + 0 11.450 * * [simplify]: Extracting #3: cost 34 inf + 0 11.451 * * [simplify]: Extracting #4: cost 107 inf + 164 11.452 * * [simplify]: Extracting #5: cost 148 inf + 585 11.455 * * [simplify]: Extracting #6: cost 109 inf + 5352 11.463 * * [simplify]: Extracting #7: cost 45 inf + 27047 11.486 * * [simplify]: Extracting #8: cost 6 inf + 58672 11.507 * * [simplify]: Extracting #9: cost 0 inf + 62696 11.518 * * [simplify]: Extracting #10: cost 0 inf + 62192 11.529 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 11.529 * [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))))) 11.530 * * * * [progress]: [ 86 / 133 ] simplifiying candidate # 11.530 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 11.530 * * [simplify]: iters left: 6 (16 enodes) 11.535 * * [simplify]: iters left: 5 (66 enodes) 11.553 * * [simplify]: iters left: 4 (103 enodes) 11.578 * * [simplify]: iters left: 3 (142 enodes) 11.604 * * [simplify]: iters left: 2 (210 enodes) 11.665 * * [simplify]: iters left: 1 (370 enodes) 11.782 * * [simplify]: Extracting #0: cost 1 inf + 0 11.782 * * [simplify]: Extracting #1: cost 7 inf + 0 11.782 * * [simplify]: Extracting #2: cost 15 inf + 0 11.782 * * [simplify]: Extracting #3: cost 43 inf + 0 11.783 * * [simplify]: Extracting #4: cost 113 inf + 204 11.784 * * [simplify]: Extracting #5: cost 145 inf + 907 11.787 * * [simplify]: Extracting #6: cost 114 inf + 4465 11.794 * * [simplify]: Extracting #7: cost 52 inf + 23940 11.810 * * [simplify]: Extracting #8: cost 13 inf + 52482 11.829 * * [simplify]: Extracting #9: cost 0 inf + 63276 11.848 * * [simplify]: Extracting #10: cost 0 inf + 62983 11.868 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 11.868 * [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))))) 11.869 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 11.869 * * [simplify]: iters left: 6 (14 enodes) 11.876 * * [simplify]: iters left: 5 (57 enodes) 11.895 * * [simplify]: iters left: 4 (90 enodes) 11.927 * * [simplify]: iters left: 3 (127 enodes) 11.970 * * [simplify]: iters left: 2 (195 enodes) 12.043 * * [simplify]: iters left: 1 (356 enodes) 12.207 * * [simplify]: Extracting #0: cost 1 inf + 0 12.207 * * [simplify]: Extracting #1: cost 4 inf + 0 12.207 * * [simplify]: Extracting #2: cost 8 inf + 0 12.207 * * [simplify]: Extracting #3: cost 34 inf + 0 12.208 * * [simplify]: Extracting #4: cost 107 inf + 204 12.209 * * [simplify]: Extracting #5: cost 148 inf + 665 12.212 * * [simplify]: Extracting #6: cost 109 inf + 5432 12.221 * * [simplify]: Extracting #7: cost 45 inf + 27127 12.240 * * [simplify]: Extracting #8: cost 6 inf + 58752 12.261 * * [simplify]: Extracting #9: cost 0 inf + 62776 12.275 * * [simplify]: Extracting #10: cost 0 inf + 62272 12.289 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 12.289 * [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))))) 12.289 * * * * [progress]: [ 87 / 133 ] simplifiying candidate # 12.289 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 12.289 * * [simplify]: iters left: 6 (15 enodes) 12.294 * * [simplify]: iters left: 5 (62 enodes) 12.304 * * [simplify]: iters left: 4 (99 enodes) 12.330 * * [simplify]: iters left: 3 (142 enodes) 12.376 * * [simplify]: iters left: 2 (215 enodes) 12.448 * * [simplify]: iters left: 1 (364 enodes) 12.575 * * [simplify]: Extracting #0: cost 1 inf + 0 12.575 * * [simplify]: Extracting #1: cost 7 inf + 0 12.575 * * [simplify]: Extracting #2: cost 14 inf + 0 12.575 * * [simplify]: Extracting #3: cost 41 inf + 0 12.576 * * [simplify]: Extracting #4: cost 107 inf + 165 12.576 * * [simplify]: Extracting #5: cost 134 inf + 713 12.578 * * [simplify]: Extracting #6: cost 89 inf + 7533 12.584 * * [simplify]: Extracting #7: cost 28 inf + 38261 12.592 * * [simplify]: Extracting #8: cost 0 inf + 60484 12.603 * * [simplify]: Extracting #9: cost 0 inf + 60062 12.618 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 12.618 * [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))))) 12.619 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.619 * * [simplify]: iters left: 6 (14 enodes) 12.626 * * [simplify]: iters left: 5 (57 enodes) 12.646 * * [simplify]: iters left: 4 (90 enodes) 12.674 * * [simplify]: iters left: 3 (127 enodes) 12.715 * * [simplify]: iters left: 2 (195 enodes) 12.790 * * [simplify]: iters left: 1 (356 enodes) 12.948 * * [simplify]: Extracting #0: cost 1 inf + 0 12.948 * * [simplify]: Extracting #1: cost 4 inf + 0 12.948 * * [simplify]: Extracting #2: cost 8 inf + 0 12.948 * * [simplify]: Extracting #3: cost 34 inf + 0 12.949 * * [simplify]: Extracting #4: cost 107 inf + 124 12.950 * * [simplify]: Extracting #5: cost 148 inf + 505 12.953 * * [simplify]: Extracting #6: cost 109 inf + 5272 12.966 * * [simplify]: Extracting #7: cost 45 inf + 26887 12.985 * * [simplify]: Extracting #8: cost 6 inf + 58512 13.002 * * [simplify]: Extracting #9: cost 0 inf + 62536 13.013 * * [simplify]: Extracting #10: cost 0 inf + 62032 13.024 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 13.025 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 13.025 * * * * [progress]: [ 88 / 133 ] simplifiying candidate # 13.025 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 13.025 * * [simplify]: iters left: 6 (14 enodes) 13.030 * * [simplify]: iters left: 5 (59 enodes) 13.051 * * [simplify]: iters left: 4 (96 enodes) 13.081 * * [simplify]: iters left: 3 (136 enodes) 13.126 * * [simplify]: iters left: 2 (205 enodes) 13.203 * * [simplify]: iters left: 1 (370 enodes) 13.377 * * [simplify]: Extracting #0: cost 1 inf + 0 13.377 * * [simplify]: Extracting #1: cost 5 inf + 0 13.378 * * [simplify]: Extracting #2: cost 7 inf + 1 13.378 * * [simplify]: Extracting #3: cost 31 inf + 1 13.378 * * [simplify]: Extracting #4: cost 103 inf + 2 13.378 * * [simplify]: Extracting #5: cost 150 inf + 218 13.379 * * [simplify]: Extracting #6: cost 149 inf + 478 13.381 * * [simplify]: Extracting #7: cost 93 inf + 8914 13.389 * * [simplify]: Extracting #8: cost 27 inf + 33526 13.402 * * [simplify]: Extracting #9: cost 0 inf + 51357 13.427 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 13.427 * [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)))) 13.428 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.428 * * [simplify]: iters left: 6 (13 enodes) 13.435 * * [simplify]: iters left: 5 (54 enodes) 13.453 * * [simplify]: iters left: 4 (87 enodes) 13.481 * * [simplify]: iters left: 3 (128 enodes) 13.511 * * [simplify]: iters left: 2 (197 enodes) 13.568 * * [simplify]: iters left: 1 (354 enodes) 13.733 * * [simplify]: Extracting #0: cost 1 inf + 0 13.733 * * [simplify]: Extracting #1: cost 4 inf + 0 13.734 * * [simplify]: Extracting #2: cost 8 inf + 0 13.734 * * [simplify]: Extracting #3: cost 28 inf + 83 13.734 * * [simplify]: Extracting #4: cost 105 inf + 84 13.735 * * [simplify]: Extracting #5: cost 139 inf + 384 13.738 * * [simplify]: Extracting #6: cost 103 inf + 5239 13.745 * * [simplify]: Extracting #7: cost 50 inf + 20824 13.758 * * [simplify]: Extracting #8: cost 15 inf + 47877 13.776 * * [simplify]: Extracting #9: cost 0 inf + 59693 13.795 * * [simplify]: Extracting #10: cost 0 inf + 59363 13.814 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 13.814 * [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)))) 13.814 * * * * [progress]: [ 89 / 133 ] simplifiying candidate # 13.815 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 13.815 * * [simplify]: iters left: 6 (15 enodes) 13.821 * * [simplify]: iters left: 5 (62 enodes) 13.832 * * [simplify]: iters left: 4 (99 enodes) 13.851 * * [simplify]: iters left: 3 (142 enodes) 13.876 * * [simplify]: iters left: 2 (215 enodes) 13.935 * * [simplify]: iters left: 1 (364 enodes) 14.069 * * [simplify]: Extracting #0: cost 1 inf + 0 14.069 * * [simplify]: Extracting #1: cost 7 inf + 0 14.069 * * [simplify]: Extracting #2: cost 14 inf + 0 14.070 * * [simplify]: Extracting #3: cost 41 inf + 0 14.070 * * [simplify]: Extracting #4: cost 107 inf + 165 14.071 * * [simplify]: Extracting #5: cost 134 inf + 713 14.072 * * [simplify]: Extracting #6: cost 89 inf + 7533 14.078 * * [simplify]: Extracting #7: cost 28 inf + 38261 14.086 * * [simplify]: Extracting #8: cost 0 inf + 60484 14.101 * * [simplify]: Extracting #9: cost 0 inf + 60062 14.119 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 14.119 * [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))))) 14.120 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.120 * * [simplify]: iters left: 6 (14 enodes) 14.128 * * [simplify]: iters left: 5 (57 enodes) 14.141 * * [simplify]: iters left: 4 (90 enodes) 14.156 * * [simplify]: iters left: 3 (127 enodes) 14.178 * * [simplify]: iters left: 2 (195 enodes) 14.233 * * [simplify]: iters left: 1 (356 enodes) 14.395 * * [simplify]: Extracting #0: cost 1 inf + 0 14.395 * * [simplify]: Extracting #1: cost 4 inf + 0 14.395 * * [simplify]: Extracting #2: cost 8 inf + 0 14.395 * * [simplify]: Extracting #3: cost 34 inf + 0 14.396 * * [simplify]: Extracting #4: cost 107 inf + 124 14.397 * * [simplify]: Extracting #5: cost 148 inf + 505 14.400 * * [simplify]: Extracting #6: cost 109 inf + 5272 14.408 * * [simplify]: Extracting #7: cost 45 inf + 26887 14.427 * * [simplify]: Extracting #8: cost 6 inf + 58512 14.449 * * [simplify]: Extracting #9: cost 0 inf + 62536 14.474 * * [simplify]: Extracting #10: cost 0 inf + 62032 14.496 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 14.496 * [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))))) 14.496 * * * * [progress]: [ 90 / 133 ] simplifiying candidate # 14.497 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 14.497 * * [simplify]: iters left: 6 (13 enodes) 14.505 * * [simplify]: iters left: 5 (54 enodes) 14.516 * * [simplify]: iters left: 4 (95 enodes) 14.532 * * [simplify]: iters left: 3 (137 enodes) 14.574 * * [simplify]: iters left: 2 (206 enodes) 14.652 * * [simplify]: iters left: 1 (362 enodes) 14.810 * * [simplify]: Extracting #0: cost 1 inf + 0 14.810 * * [simplify]: Extracting #1: cost 5 inf + 0 14.810 * * [simplify]: Extracting #2: cost 7 inf + 1 14.810 * * [simplify]: Extracting #3: cost 32 inf + 1 14.811 * * [simplify]: Extracting #4: cost 110 inf + 2 14.812 * * [simplify]: Extracting #5: cost 158 inf + 176 14.813 * * [simplify]: Extracting #6: cost 151 inf + 644 14.819 * * [simplify]: Extracting #7: cost 91 inf + 10513 14.830 * * [simplify]: Extracting #8: cost 37 inf + 29756 14.841 * * [simplify]: Extracting #9: cost 0 inf + 59764 14.854 * * [simplify]: Extracting #10: cost 0 inf + 58856 14.877 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 14.877 * [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)))) 14.878 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 14.878 * * [simplify]: iters left: 6 (13 enodes) 14.882 * * [simplify]: iters left: 5 (54 enodes) 14.892 * * [simplify]: iters left: 4 (87 enodes) 14.907 * * [simplify]: iters left: 3 (128 enodes) 14.951 * * [simplify]: iters left: 2 (197 enodes) 15.018 * * [simplify]: iters left: 1 (354 enodes) 15.181 * * [simplify]: Extracting #0: cost 1 inf + 0 15.181 * * [simplify]: Extracting #1: cost 4 inf + 0 15.181 * * [simplify]: Extracting #2: cost 8 inf + 0 15.181 * * [simplify]: Extracting #3: cost 28 inf + 83 15.182 * * [simplify]: Extracting #4: cost 105 inf + 84 15.183 * * [simplify]: Extracting #5: cost 139 inf + 384 15.185 * * [simplify]: Extracting #6: cost 103 inf + 5239 15.192 * * [simplify]: Extracting #7: cost 50 inf + 20824 15.206 * * [simplify]: Extracting #8: cost 15 inf + 47877 15.224 * * [simplify]: Extracting #9: cost 0 inf + 59693 15.243 * * [simplify]: Extracting #10: cost 0 inf + 59363 15.262 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 15.262 * [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)))) 15.262 * * * * [progress]: [ 91 / 133 ] simplifiying candidate # 15.263 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.263 * * [simplify]: iters left: 6 (15 enodes) 15.272 * * [simplify]: iters left: 5 (62 enodes) 15.293 * * [simplify]: iters left: 4 (98 enodes) 15.324 * * [simplify]: iters left: 3 (134 enodes) 15.372 * * [simplify]: iters left: 2 (202 enodes) 15.444 * * [simplify]: iters left: 1 (362 enodes) 15.574 * * [simplify]: Extracting #0: cost 1 inf + 0 15.574 * * [simplify]: Extracting #1: cost 6 inf + 0 15.574 * * [simplify]: Extracting #2: cost 13 inf + 0 15.574 * * [simplify]: Extracting #3: cost 43 inf + 0 15.575 * * [simplify]: Extracting #4: cost 120 inf + 285 15.576 * * [simplify]: Extracting #5: cost 141 inf + 1984 15.583 * * [simplify]: Extracting #6: cost 72 inf + 21416 15.594 * * [simplify]: Extracting #7: cost 23 inf + 42391 15.603 * * [simplify]: Extracting #8: cost 0 inf + 61728 15.612 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.612 * [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))))) 15.612 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.613 * * [simplify]: iters left: 6 (14 enodes) 15.617 * * [simplify]: iters left: 5 (57 enodes) 15.627 * * [simplify]: iters left: 4 (91 enodes) 15.643 * * [simplify]: iters left: 3 (127 enodes) 15.671 * * [simplify]: iters left: 2 (195 enodes) 15.744 * * [simplify]: iters left: 1 (354 enodes) 15.878 * * [simplify]: Extracting #0: cost 1 inf + 0 15.878 * * [simplify]: Extracting #1: cost 4 inf + 0 15.878 * * [simplify]: Extracting #2: cost 9 inf + 0 15.879 * * [simplify]: Extracting #3: cost 36 inf + 0 15.879 * * [simplify]: Extracting #4: cost 113 inf + 205 15.880 * * [simplify]: Extracting #5: cost 131 inf + 2415 15.885 * * [simplify]: Extracting #6: cost 45 inf + 33802 15.896 * * [simplify]: Extracting #7: cost 2 inf + 54796 15.916 * * [simplify]: Extracting #8: cost 0 inf + 53175 15.931 * * [simplify]: Extracting #9: cost 0 inf + 52741 15.946 * * [simplify]: Extracting #10: cost 0 inf + 52079 15.978 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.978 * [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))))) 15.978 * * * * [progress]: [ 92 / 133 ] simplifiying candidate # 15.978 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 15.979 * * [simplify]: iters left: 6 (15 enodes) 15.988 * * [simplify]: iters left: 5 (61 enodes) 16.009 * * [simplify]: iters left: 4 (95 enodes) 16.029 * * [simplify]: iters left: 3 (131 enodes) 16.052 * * [simplify]: iters left: 2 (199 enodes) 16.127 * * [simplify]: iters left: 1 (362 enodes) 16.251 * * [simplify]: Extracting #0: cost 1 inf + 0 16.251 * * [simplify]: Extracting #1: cost 4 inf + 0 16.251 * * [simplify]: Extracting #2: cost 10 inf + 0 16.251 * * [simplify]: Extracting #3: cost 41 inf + 0 16.251 * * [simplify]: Extracting #4: cost 124 inf + 325 16.252 * * [simplify]: Extracting #5: cost 146 inf + 2066 16.254 * * [simplify]: Extracting #6: cost 94 inf + 10304 16.261 * * [simplify]: Extracting #7: cost 23 inf + 47402 16.277 * * [simplify]: Extracting #8: cost 0 inf + 67276 16.300 * * [simplify]: Extracting #9: cost 0 inf + 66421 16.310 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 16.310 * [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))))) 16.310 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.310 * * [simplify]: iters left: 6 (14 enodes) 16.315 * * [simplify]: iters left: 5 (57 enodes) 16.325 * * [simplify]: iters left: 4 (91 enodes) 16.345 * * [simplify]: iters left: 3 (127 enodes) 16.369 * * [simplify]: iters left: 2 (195 enodes) 16.425 * * [simplify]: iters left: 1 (354 enodes) 16.572 * * [simplify]: Extracting #0: cost 1 inf + 0 16.572 * * [simplify]: Extracting #1: cost 4 inf + 0 16.572 * * [simplify]: Extracting #2: cost 9 inf + 0 16.572 * * [simplify]: Extracting #3: cost 36 inf + 0 16.572 * * [simplify]: Extracting #4: cost 113 inf + 285 16.573 * * [simplify]: Extracting #5: cost 131 inf + 2495 16.581 * * [simplify]: Extracting #6: cost 45 inf + 33882 16.593 * * [simplify]: Extracting #7: cost 2 inf + 54876 16.619 * * [simplify]: Extracting #8: cost 0 inf + 53255 16.648 * * [simplify]: Extracting #9: cost 0 inf + 52821 16.677 * * [simplify]: Extracting #10: cost 0 inf + 52159 16.705 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.705 * [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))))) 16.705 * * * * [progress]: [ 93 / 133 ] simplifiying candidate # 16.706 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.706 * * [simplify]: iters left: 6 (14 enodes) 16.714 * * [simplify]: iters left: 5 (57 enodes) 16.734 * * [simplify]: iters left: 4 (91 enodes) 16.763 * * [simplify]: iters left: 3 (127 enodes) 16.807 * * [simplify]: iters left: 2 (195 enodes) 16.865 * * [simplify]: iters left: 1 (354 enodes) 17.002 * * [simplify]: Extracting #0: cost 1 inf + 0 17.002 * * [simplify]: Extracting #1: cost 4 inf + 0 17.002 * * [simplify]: Extracting #2: cost 9 inf + 0 17.002 * * [simplify]: Extracting #3: cost 36 inf + 0 17.003 * * [simplify]: Extracting #4: cost 113 inf + 165 17.003 * * [simplify]: Extracting #5: cost 131 inf + 2335 17.008 * * [simplify]: Extracting #6: cost 45 inf + 33642 17.025 * * [simplify]: Extracting #7: cost 2 inf + 54636 17.051 * * [simplify]: Extracting #8: cost 0 inf + 53015 17.066 * * [simplify]: Extracting #9: cost 0 inf + 52581 17.084 * * [simplify]: Extracting #10: cost 0 inf + 51919 17.116 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.116 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.117 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.117 * * [simplify]: iters left: 6 (14 enodes) 17.125 * * [simplify]: iters left: 5 (57 enodes) 17.145 * * [simplify]: iters left: 4 (91 enodes) 17.173 * * [simplify]: iters left: 3 (127 enodes) 17.214 * * [simplify]: iters left: 2 (195 enodes) 17.291 * * [simplify]: iters left: 1 (354 enodes) 17.433 * * [simplify]: Extracting #0: cost 1 inf + 0 17.433 * * [simplify]: Extracting #1: cost 4 inf + 0 17.433 * * [simplify]: Extracting #2: cost 9 inf + 0 17.433 * * [simplify]: Extracting #3: cost 36 inf + 0 17.433 * * [simplify]: Extracting #4: cost 113 inf + 165 17.434 * * [simplify]: Extracting #5: cost 131 inf + 2335 17.444 * * [simplify]: Extracting #6: cost 45 inf + 33642 17.467 * * [simplify]: Extracting #7: cost 2 inf + 54636 17.489 * * [simplify]: Extracting #8: cost 0 inf + 53015 17.503 * * [simplify]: Extracting #9: cost 0 inf + 52581 17.518 * * [simplify]: Extracting #10: cost 0 inf + 51919 17.533 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.533 * [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))))) 17.533 * * * * [progress]: [ 94 / 133 ] simplifiying candidate # 17.533 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 17.533 * * [simplify]: iters left: 6 (13 enodes) 17.538 * * [simplify]: iters left: 5 (54 enodes) 17.548 * * [simplify]: iters left: 4 (88 enodes) 17.563 * * [simplify]: iters left: 3 (127 enodes) 17.585 * * [simplify]: iters left: 2 (196 enodes) 17.623 * * [simplify]: iters left: 1 (362 enodes) 17.774 * * [simplify]: Extracting #0: cost 1 inf + 0 17.774 * * [simplify]: Extracting #1: cost 5 inf + 0 17.774 * * [simplify]: Extracting #2: cost 27 inf + 1 17.774 * * [simplify]: Extracting #3: cost 103 inf + 2 17.775 * * [simplify]: Extracting #4: cost 147 inf + 177 17.776 * * [simplify]: Extracting #5: cost 138 inf + 686 17.777 * * [simplify]: Extracting #6: cost 90 inf + 5192 17.782 * * [simplify]: Extracting #7: cost 29 inf + 34526 17.790 * * [simplify]: Extracting #8: cost 3 inf + 53567 17.799 * * [simplify]: Extracting #9: cost 0 inf + 55996 17.808 * * [simplify]: Extracting #10: cost 0 inf + 55520 17.818 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 17.818 * [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)))) 17.818 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 17.818 * * [simplify]: iters left: 6 (13 enodes) 17.823 * * [simplify]: iters left: 5 (54 enodes) 17.832 * * [simplify]: iters left: 4 (88 enodes) 17.857 * * [simplify]: iters left: 3 (125 enodes) 17.898 * * [simplify]: iters left: 2 (193 enodes) 17.954 * * [simplify]: iters left: 1 (356 enodes) 18.085 * * [simplify]: Extracting #0: cost 1 inf + 0 18.085 * * [simplify]: Extracting #1: cost 4 inf + 0 18.085 * * [simplify]: Extracting #2: cost 9 inf + 0 18.085 * * [simplify]: Extracting #3: cost 32 inf + 1 18.086 * * [simplify]: Extracting #4: cost 105 inf + 84 18.087 * * [simplify]: Extracting #5: cost 125 inf + 1632 18.092 * * [simplify]: Extracting #6: cost 73 inf + 13139 18.110 * * [simplify]: Extracting #7: cost 9 inf + 42244 18.123 * * [simplify]: Extracting #8: cost 0 inf + 47700 18.137 * * [simplify]: Extracting #9: cost 0 inf + 47090 18.155 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 18.155 * [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)))) 18.155 * * * * [progress]: [ 95 / 133 ] simplifiying candidate # 18.156 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.156 * * [simplify]: iters left: 6 (14 enodes) 18.160 * * [simplify]: iters left: 5 (57 enodes) 18.172 * * [simplify]: iters left: 4 (91 enodes) 18.193 * * [simplify]: iters left: 3 (127 enodes) 18.234 * * [simplify]: iters left: 2 (195 enodes) 18.292 * * [simplify]: iters left: 1 (354 enodes) 18.455 * * [simplify]: Extracting #0: cost 1 inf + 0 18.455 * * [simplify]: Extracting #1: cost 4 inf + 0 18.455 * * [simplify]: Extracting #2: cost 9 inf + 0 18.455 * * [simplify]: Extracting #3: cost 36 inf + 0 18.456 * * [simplify]: Extracting #4: cost 113 inf + 165 18.458 * * [simplify]: Extracting #5: cost 131 inf + 2335 18.468 * * [simplify]: Extracting #6: cost 45 inf + 33642 18.488 * * [simplify]: Extracting #7: cost 2 inf + 54636 18.502 * * [simplify]: Extracting #8: cost 0 inf + 53015 18.520 * * [simplify]: Extracting #9: cost 0 inf + 52581 18.553 * * [simplify]: Extracting #10: cost 0 inf + 51919 18.580 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.580 * [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))))) 18.580 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.580 * * [simplify]: iters left: 6 (14 enodes) 18.585 * * [simplify]: iters left: 5 (57 enodes) 18.595 * * [simplify]: iters left: 4 (91 enodes) 18.612 * * [simplify]: iters left: 3 (127 enodes) 18.639 * * [simplify]: iters left: 2 (195 enodes) 18.689 * * [simplify]: iters left: 1 (354 enodes) 18.803 * * [simplify]: Extracting #0: cost 1 inf + 0 18.803 * * [simplify]: Extracting #1: cost 4 inf + 0 18.803 * * [simplify]: Extracting #2: cost 9 inf + 0 18.803 * * [simplify]: Extracting #3: cost 36 inf + 0 18.804 * * [simplify]: Extracting #4: cost 113 inf + 165 18.806 * * [simplify]: Extracting #5: cost 131 inf + 2335 18.819 * * [simplify]: Extracting #6: cost 45 inf + 33642 18.842 * * [simplify]: Extracting #7: cost 2 inf + 54636 18.869 * * [simplify]: Extracting #8: cost 0 inf + 53015 18.890 * * [simplify]: Extracting #9: cost 0 inf + 52581 18.906 * * [simplify]: Extracting #10: cost 0 inf + 51919 18.930 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.930 * [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))))) 18.930 * * * * [progress]: [ 96 / 133 ] simplifiying candidate # 18.930 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 18.931 * * [simplify]: iters left: 6 (12 enodes) 18.938 * * [simplify]: iters left: 5 (49 enodes) 18.954 * * [simplify]: iters left: 4 (83 enodes) 18.969 * * [simplify]: iters left: 3 (124 enodes) 18.995 * * [simplify]: iters left: 2 (197 enodes) 19.039 * * [simplify]: iters left: 1 (352 enodes) 19.182 * * [simplify]: Extracting #0: cost 1 inf + 0 19.182 * * [simplify]: Extracting #1: cost 5 inf + 0 19.182 * * [simplify]: Extracting #2: cost 27 inf + 1 19.183 * * [simplify]: Extracting #3: cost 107 inf + 2 19.183 * * [simplify]: Extracting #4: cost 136 inf + 177 19.184 * * [simplify]: Extracting #5: cost 129 inf + 724 19.186 * * [simplify]: Extracting #6: cost 68 inf + 10028 19.191 * * [simplify]: Extracting #7: cost 27 inf + 32706 19.200 * * [simplify]: Extracting #8: cost 0 inf + 57385 19.213 * * [simplify]: Extracting #9: cost 0 inf + 56670 19.232 * * [simplify]: Extracting #10: cost 0 inf + 56408 19.248 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 19.248 * [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)))) 19.248 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 19.248 * * [simplify]: iters left: 6 (13 enodes) 19.256 * * [simplify]: iters left: 5 (54 enodes) 19.275 * * [simplify]: iters left: 4 (88 enodes) 19.289 * * [simplify]: iters left: 3 (125 enodes) 19.311 * * [simplify]: iters left: 2 (193 enodes) 19.364 * * [simplify]: iters left: 1 (356 enodes) 19.508 * * [simplify]: Extracting #0: cost 1 inf + 0 19.508 * * [simplify]: Extracting #1: cost 4 inf + 0 19.508 * * [simplify]: Extracting #2: cost 9 inf + 0 19.508 * * [simplify]: Extracting #3: cost 32 inf + 1 19.509 * * [simplify]: Extracting #4: cost 105 inf + 84 19.510 * * [simplify]: Extracting #5: cost 125 inf + 1632 19.515 * * [simplify]: Extracting #6: cost 73 inf + 13139 19.532 * * [simplify]: Extracting #7: cost 9 inf + 42244 19.558 * * [simplify]: Extracting #8: cost 0 inf + 47700 19.584 * * [simplify]: Extracting #9: cost 0 inf + 47090 19.614 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 19.614 * [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)))) 19.615 * * * * [progress]: [ 97 / 133 ] simplifiying candidate # 19.615 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.615 * * [simplify]: iters left: 6 (6 enodes) 19.618 * * [simplify]: iters left: 5 (22 enodes) 19.626 * * [simplify]: iters left: 4 (26 enodes) 19.633 * * [simplify]: Extracting #0: cost 1 inf + 0 19.633 * * [simplify]: Extracting #1: cost 6 inf + 0 19.633 * * [simplify]: Extracting #2: cost 9 inf + 1 19.634 * * [simplify]: Extracting #3: cost 11 inf + 1 19.634 * * [simplify]: Extracting #4: cost 8 inf + 84 19.634 * * [simplify]: Extracting #5: cost 2 inf + 1013 19.634 * * [simplify]: Extracting #6: cost 0 inf + 1376 19.635 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.635 * [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))))) 19.635 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 19.635 * * [simplify]: iters left: 6 (13 enodes) 19.642 * * [simplify]: iters left: 5 (54 enodes) 19.660 * * [simplify]: iters left: 4 (89 enodes) 19.689 * * [simplify]: iters left: 3 (136 enodes) 19.734 * * [simplify]: iters left: 2 (221 enodes) 19.806 * * [simplify]: iters left: 1 (444 enodes) 20.005 * * [simplify]: Extracting #0: cost 1 inf + 0 20.005 * * [simplify]: Extracting #1: cost 51 inf + 0 20.006 * * [simplify]: Extracting #2: cost 141 inf + 0 20.007 * * [simplify]: Extracting #3: cost 217 inf + 3 20.009 * * [simplify]: Extracting #4: cost 206 inf + 1256 20.016 * * [simplify]: Extracting #5: cost 128 inf + 22660 20.049 * * [simplify]: Extracting #6: cost 23 inf + 103572 20.085 * * [simplify]: Extracting #7: cost 0 inf + 122695 20.112 * * [simplify]: Extracting #8: cost 0 inf + 120000 20.131 * * [simplify]: Extracting #9: cost 0 inf + 119244 20.163 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 20.163 * [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))))) 20.163 * * * * [progress]: [ 98 / 133 ] simplifiying candidate # 20.163 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 20.163 * * [simplify]: iters left: 6 (6 enodes) 20.167 * * [simplify]: iters left: 5 (21 enodes) 20.173 * * [simplify]: iters left: 4 (23 enodes) 20.180 * * [simplify]: Extracting #0: cost 1 inf + 0 20.180 * * [simplify]: Extracting #1: cost 4 inf + 0 20.180 * * [simplify]: Extracting #2: cost 6 inf + 1 20.180 * * [simplify]: Extracting #3: cost 9 inf + 1 20.180 * * [simplify]: Extracting #4: cost 8 inf + 2 20.180 * * [simplify]: Extracting #5: cost 1 inf + 810 20.181 * * [simplify]: Extracting #6: cost 0 inf + 972 20.181 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 20.181 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 20.181 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 20.181 * * [simplify]: iters left: 6 (13 enodes) 20.189 * * [simplify]: iters left: 5 (54 enodes) 20.199 * * [simplify]: iters left: 4 (89 enodes) 20.214 * * [simplify]: iters left: 3 (136 enodes) 20.240 * * [simplify]: iters left: 2 (221 enodes) 20.328 * * [simplify]: iters left: 1 (444 enodes) 20.512 * * [simplify]: Extracting #0: cost 1 inf + 0 20.512 * * [simplify]: Extracting #1: cost 51 inf + 0 20.513 * * [simplify]: Extracting #2: cost 141 inf + 0 20.515 * * [simplify]: Extracting #3: cost 217 inf + 3 20.517 * * [simplify]: Extracting #4: cost 206 inf + 1296 20.524 * * [simplify]: Extracting #5: cost 128 inf + 22740 20.553 * * [simplify]: Extracting #6: cost 23 inf + 103652 20.592 * * [simplify]: Extracting #7: cost 0 inf + 122775 20.628 * * [simplify]: Extracting #8: cost 0 inf + 120080 20.647 * * [simplify]: Extracting #9: cost 0 inf + 119324 20.666 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 20.666 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 20.666 * * * * [progress]: [ 99 / 133 ] simplifiying candidate # 20.667 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 20.667 * * [simplify]: iters left: 4 (5 enodes) 20.669 * * [simplify]: iters left: 3 (17 enodes) 20.672 * * [simplify]: iters left: 2 (19 enodes) 20.675 * * [simplify]: Extracting #0: cost 1 inf + 0 20.675 * * [simplify]: Extracting #1: cost 4 inf + 0 20.675 * * [simplify]: Extracting #2: cost 5 inf + 1 20.675 * * [simplify]: Extracting #3: cost 7 inf + 1 20.675 * * [simplify]: Extracting #4: cost 0 inf + 490 20.675 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 20.675 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.675 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.675 * * [simplify]: iters left: 6 (13 enodes) 20.680 * * [simplify]: iters left: 5 (54 enodes) 20.697 * * [simplify]: iters left: 4 (89 enodes) 20.729 * * [simplify]: iters left: 3 (136 enodes) 20.774 * * [simplify]: iters left: 2 (221 enodes) 20.840 * * [simplify]: iters left: 1 (444 enodes) 21.072 * * [simplify]: Extracting #0: cost 1 inf + 0 21.072 * * [simplify]: Extracting #1: cost 51 inf + 0 21.072 * * [simplify]: Extracting #2: cost 141 inf + 0 21.073 * * [simplify]: Extracting #3: cost 217 inf + 3 21.074 * * [simplify]: Extracting #4: cost 206 inf + 1176 21.078 * * [simplify]: Extracting #5: cost 128 inf + 22380 21.092 * * [simplify]: Extracting #6: cost 23 inf + 101172 21.116 * * [simplify]: Extracting #7: cost 0 inf + 119655 21.148 * * [simplify]: Extracting #8: cost 0 inf + 116960 21.170 * * [simplify]: Extracting #9: cost 0 inf + 116204 21.194 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.194 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.194 * * * * [progress]: [ 100 / 133 ] simplifiying candidate # 21.194 * [simplify]: Simplifying (/ 1 (sqrt 1)) 21.194 * * [simplify]: iters left: 3 (3 enodes) 21.198 * * [simplify]: iters left: 2 (11 enodes) 21.200 * * [simplify]: iters left: 1 (13 enodes) 21.202 * * [simplify]: Extracting #0: cost 1 inf + 0 21.202 * * [simplify]: Extracting #1: cost 0 inf + 1 21.202 * [simplify]: Simplified to 1 21.202 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 21.202 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 21.203 * * [simplify]: iters left: 6 (12 enodes) 21.206 * * [simplify]: iters left: 5 (51 enodes) 21.224 * * [simplify]: iters left: 4 (86 enodes) 21.248 * * [simplify]: iters left: 3 (133 enodes) 21.274 * * [simplify]: iters left: 2 (218 enodes) 21.341 * * [simplify]: iters left: 1 (444 enodes) 21.566 * * [simplify]: Extracting #0: cost 1 inf + 0 21.566 * * [simplify]: Extracting #1: cost 39 inf + 0 21.567 * * [simplify]: Extracting #2: cost 126 inf + 0 21.569 * * [simplify]: Extracting #3: cost 201 inf + 4 21.571 * * [simplify]: Extracting #4: cost 191 inf + 1382 21.576 * * [simplify]: Extracting #5: cost 133 inf + 10319 21.591 * * [simplify]: Extracting #6: cost 56 inf + 58095 21.626 * * [simplify]: Extracting #7: cost 0 inf + 104434 21.644 * * [simplify]: Extracting #8: cost 0 inf + 104433 21.661 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 21.661 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 21.662 * * * * [progress]: [ 101 / 133 ] simplifiying candidate # 21.662 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 21.662 * * [simplify]: iters left: 4 (5 enodes) 21.665 * * [simplify]: iters left: 3 (17 enodes) 21.671 * * [simplify]: iters left: 2 (19 enodes) 21.676 * * [simplify]: Extracting #0: cost 1 inf + 0 21.676 * * [simplify]: Extracting #1: cost 4 inf + 0 21.676 * * [simplify]: Extracting #2: cost 5 inf + 1 21.676 * * [simplify]: Extracting #3: cost 7 inf + 1 21.676 * * [simplify]: Extracting #4: cost 0 inf + 490 21.676 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 21.676 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.676 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.676 * * [simplify]: iters left: 6 (13 enodes) 21.680 * * [simplify]: iters left: 5 (54 enodes) 21.691 * * [simplify]: iters left: 4 (89 enodes) 21.707 * * [simplify]: iters left: 3 (136 enodes) 21.737 * * [simplify]: iters left: 2 (221 enodes) 21.807 * * [simplify]: iters left: 1 (444 enodes) 22.048 * * [simplify]: Extracting #0: cost 1 inf + 0 22.048 * * [simplify]: Extracting #1: cost 51 inf + 0 22.049 * * [simplify]: Extracting #2: cost 141 inf + 0 22.049 * * [simplify]: Extracting #3: cost 217 inf + 3 22.050 * * [simplify]: Extracting #4: cost 206 inf + 1176 22.054 * * [simplify]: Extracting #5: cost 128 inf + 22380 22.075 * * [simplify]: Extracting #6: cost 23 inf + 101172 22.095 * * [simplify]: Extracting #7: cost 0 inf + 119655 22.123 * * [simplify]: Extracting #8: cost 0 inf + 116960 22.164 * * [simplify]: Extracting #9: cost 0 inf + 116204 22.202 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 22.202 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 22.203 * * * * [progress]: [ 102 / 133 ] simplifiying candidate # 22.203 * [simplify]: Simplifying (/ 1 1) 22.203 * * [simplify]: iters left: 2 (2 enodes) 22.205 * * [simplify]: iters left: 1 (6 enodes) 22.207 * * [simplify]: Extracting #0: cost 1 inf + 0 22.207 * * [simplify]: Extracting #1: cost 0 inf + 1 22.207 * [simplify]: Simplified to 1 22.207 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 22.207 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 22.207 * * [simplify]: iters left: 6 (12 enodes) 22.214 * * [simplify]: iters left: 5 (51 enodes) 22.232 * * [simplify]: iters left: 4 (86 enodes) 22.260 * * [simplify]: iters left: 3 (133 enodes) 22.300 * * [simplify]: iters left: 2 (218 enodes) 22.361 * * [simplify]: iters left: 1 (444 enodes) 22.565 * * [simplify]: Extracting #0: cost 1 inf + 0 22.566 * * [simplify]: Extracting #1: cost 39 inf + 0 22.566 * * [simplify]: Extracting #2: cost 126 inf + 0 22.568 * * [simplify]: Extracting #3: cost 201 inf + 4 22.570 * * [simplify]: Extracting #4: cost 191 inf + 1382 22.575 * * [simplify]: Extracting #5: cost 133 inf + 10319 22.591 * * [simplify]: Extracting #6: cost 56 inf + 58095 22.620 * * [simplify]: Extracting #7: cost 0 inf + 104434 22.642 * * [simplify]: Extracting #8: cost 0 inf + 104433 22.664 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 22.664 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 22.664 * * * * [progress]: [ 103 / 133 ] simplifiying candidate # 22.664 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 22.664 * * [simplify]: iters left: 6 (15 enodes) 22.669 * * [simplify]: iters left: 5 (65 enodes) 22.682 * * [simplify]: iters left: 4 (109 enodes) 22.714 * * [simplify]: iters left: 3 (185 enodes) 22.773 * * [simplify]: iters left: 2 (368 enodes) 22.909 * * [simplify]: Extracting #0: cost 1 inf + 0 22.909 * * [simplify]: Extracting #1: cost 54 inf + 0 22.910 * * [simplify]: Extracting #2: cost 144 inf + 0 22.911 * * [simplify]: Extracting #3: cost 223 inf + 2 22.914 * * [simplify]: Extracting #4: cost 205 inf + 3811 22.922 * * [simplify]: Extracting #5: cost 131 inf + 29200 22.949 * * [simplify]: Extracting #6: cost 16 inf + 109445 22.984 * * [simplify]: Extracting #7: cost 0 inf + 122156 23.012 * * [simplify]: Extracting #8: cost 0 inf + 122025 23.029 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 23.029 * [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))))) 23.029 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 23.029 * * [simplify]: iters left: 6 (14 enodes) 23.034 * * [simplify]: iters left: 5 (60 enodes) 23.046 * * [simplify]: iters left: 4 (98 enodes) 23.074 * * [simplify]: iters left: 3 (157 enodes) 23.105 * * [simplify]: iters left: 2 (290 enodes) 23.194 * * [simplify]: Extracting #0: cost 1 inf + 0 23.194 * * [simplify]: Extracting #1: cost 30 inf + 0 23.195 * * [simplify]: Extracting #2: cost 72 inf + 0 23.195 * * [simplify]: Extracting #3: cost 138 inf + 2 23.195 * * [simplify]: Extracting #4: cost 143 inf + 890 23.198 * * [simplify]: Extracting #5: cost 80 inf + 17711 23.205 * * [simplify]: Extracting #6: cost 8 inf + 48515 23.220 * * [simplify]: Extracting #7: cost 0 inf + 53624 23.236 * * [simplify]: Extracting #8: cost 0 inf + 53424 23.253 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 23.253 * [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))))) 23.253 * * * * [progress]: [ 104 / 133 ] simplifiying candidate # 23.254 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 23.254 * * [simplify]: iters left: 6 (15 enodes) 23.262 * * [simplify]: iters left: 5 (64 enodes) 23.276 * * [simplify]: iters left: 4 (102 enodes) 23.293 * * [simplify]: iters left: 3 (161 enodes) 23.345 * * [simplify]: iters left: 2 (288 enodes) 23.429 * * [simplify]: Extracting #0: cost 1 inf + 0 23.429 * * [simplify]: Extracting #1: cost 30 inf + 0 23.429 * * [simplify]: Extracting #2: cost 73 inf + 0 23.430 * * [simplify]: Extracting #3: cost 138 inf + 2 23.431 * * [simplify]: Extracting #4: cost 143 inf + 389 23.434 * * [simplify]: Extracting #5: cost 103 inf + 4729 23.443 * * [simplify]: Extracting #6: cost 27 inf + 38097 23.458 * * [simplify]: Extracting #7: cost 0 inf + 59534 23.466 * * [simplify]: Extracting #8: cost 0 inf + 59452 23.474 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 23.474 * [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))))) 23.474 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 23.474 * * [simplify]: iters left: 6 (14 enodes) 23.478 * * [simplify]: iters left: 5 (60 enodes) 23.491 * * [simplify]: iters left: 4 (98 enodes) 23.524 * * [simplify]: iters left: 3 (157 enodes) 23.583 * * [simplify]: iters left: 2 (290 enodes) 23.700 * * [simplify]: Extracting #0: cost 1 inf + 0 23.700 * * [simplify]: Extracting #1: cost 30 inf + 0 23.701 * * [simplify]: Extracting #2: cost 72 inf + 0 23.701 * * [simplify]: Extracting #3: cost 138 inf + 2 23.702 * * [simplify]: Extracting #4: cost 143 inf + 890 23.708 * * [simplify]: Extracting #5: cost 80 inf + 17791 23.722 * * [simplify]: Extracting #6: cost 8 inf + 48595 23.738 * * [simplify]: Extracting #7: cost 0 inf + 53704 23.755 * * [simplify]: Extracting #8: cost 0 inf + 53504 23.772 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 23.772 * [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))))) 23.772 * * * * [progress]: [ 105 / 133 ] simplifiying candidate # 23.772 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.773 * * [simplify]: iters left: 6 (14 enodes) 23.780 * * [simplify]: iters left: 5 (60 enodes) 23.791 * * [simplify]: iters left: 4 (98 enodes) 23.812 * * [simplify]: iters left: 3 (157 enodes) 23.870 * * [simplify]: iters left: 2 (290 enodes) 23.959 * * [simplify]: Extracting #0: cost 1 inf + 0 23.959 * * [simplify]: Extracting #1: cost 30 inf + 0 23.960 * * [simplify]: Extracting #2: cost 72 inf + 0 23.960 * * [simplify]: Extracting #3: cost 138 inf + 2 23.962 * * [simplify]: Extracting #4: cost 143 inf + 890 23.967 * * [simplify]: Extracting #5: cost 80 inf + 17431 23.981 * * [simplify]: Extracting #6: cost 8 inf + 47315 23.998 * * [simplify]: Extracting #7: cost 0 inf + 52144 24.014 * * [simplify]: Extracting #8: cost 0 inf + 51944 24.024 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.024 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 24.025 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.025 * * [simplify]: iters left: 6 (14 enodes) 24.029 * * [simplify]: iters left: 5 (60 enodes) 24.040 * * [simplify]: iters left: 4 (98 enodes) 24.065 * * [simplify]: iters left: 3 (157 enodes) 24.121 * * [simplify]: iters left: 2 (290 enodes) 24.208 * * [simplify]: Extracting #0: cost 1 inf + 0 24.208 * * [simplify]: Extracting #1: cost 30 inf + 0 24.208 * * [simplify]: Extracting #2: cost 72 inf + 0 24.209 * * [simplify]: Extracting #3: cost 138 inf + 2 24.210 * * [simplify]: Extracting #4: cost 143 inf + 890 24.216 * * [simplify]: Extracting #5: cost 80 inf + 17431 24.230 * * [simplify]: Extracting #6: cost 8 inf + 47315 24.246 * * [simplify]: Extracting #7: cost 0 inf + 52144 24.263 * * [simplify]: Extracting #8: cost 0 inf + 51944 24.281 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.281 * [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))))) 24.281 * * * * [progress]: [ 106 / 133 ] simplifiying candidate # 24.281 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 24.281 * * [simplify]: iters left: 6 (13 enodes) 24.291 * * [simplify]: iters left: 5 (57 enodes) 24.310 * * [simplify]: iters left: 4 (93 enodes) 24.344 * * [simplify]: iters left: 3 (148 enodes) 24.398 * * [simplify]: iters left: 2 (271 enodes) 24.478 * * [simplify]: iters left: 1 (497 enodes) 24.738 * * [simplify]: Extracting #0: cost 1 inf + 0 24.738 * * [simplify]: Extracting #1: cost 54 inf + 0 24.739 * * [simplify]: Extracting #2: cost 165 inf + 2 24.741 * * [simplify]: Extracting #3: cost 238 inf + 220 24.744 * * [simplify]: Extracting #4: cost 231 inf + 855 24.756 * * [simplify]: Extracting #5: cost 139 inf + 14771 24.783 * * [simplify]: Extracting #6: cost 27 inf + 65033 24.811 * * [simplify]: Extracting #7: cost 0 inf + 84937 24.834 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 24.834 * [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)))) 24.834 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 24.835 * * [simplify]: iters left: 6 (13 enodes) 24.842 * * [simplify]: iters left: 5 (57 enodes) 24.862 * * [simplify]: iters left: 4 (95 enodes) 24.893 * * [simplify]: iters left: 3 (154 enodes) 24.952 * * [simplify]: iters left: 2 (287 enodes) 25.035 * * [simplify]: Extracting #0: cost 1 inf + 0 25.036 * * [simplify]: Extracting #1: cost 30 inf + 0 25.036 * * [simplify]: Extracting #2: cost 73 inf + 0 25.036 * * [simplify]: Extracting #3: cost 136 inf + 3 25.037 * * [simplify]: Extracting #4: cost 130 inf + 1385 25.039 * * [simplify]: Extracting #5: cost 76 inf + 14535 25.045 * * [simplify]: Extracting #6: cost 5 inf + 50457 25.056 * * [simplify]: Extracting #7: cost 0 inf + 54374 25.071 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 25.071 * [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)))) 25.071 * * * * [progress]: [ 107 / 133 ] simplifiying candidate # 25.071 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 25.071 * * [simplify]: iters left: 6 (14 enodes) 25.080 * * [simplify]: iters left: 5 (60 enodes) 25.100 * * [simplify]: iters left: 4 (98 enodes) 25.123 * * [simplify]: iters left: 3 (157 enodes) 25.168 * * [simplify]: iters left: 2 (290 enodes) 25.253 * * [simplify]: Extracting #0: cost 1 inf + 0 25.253 * * [simplify]: Extracting #1: cost 30 inf + 0 25.254 * * [simplify]: Extracting #2: cost 72 inf + 0 25.254 * * [simplify]: Extracting #3: cost 138 inf + 2 25.255 * * [simplify]: Extracting #4: cost 143 inf + 890 25.259 * * [simplify]: Extracting #5: cost 80 inf + 17431 25.266 * * [simplify]: Extracting #6: cost 8 inf + 47315 25.275 * * [simplify]: Extracting #7: cost 0 inf + 52144 25.284 * * [simplify]: Extracting #8: cost 0 inf + 51944 25.294 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.294 * [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))))) 25.296 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 25.296 * * [simplify]: iters left: 6 (14 enodes) 25.304 * * [simplify]: iters left: 5 (60 enodes) 25.324 * * [simplify]: iters left: 4 (98 enodes) 25.360 * * [simplify]: iters left: 3 (157 enodes) 25.416 * * [simplify]: iters left: 2 (290 enodes) 25.485 * * [simplify]: Extracting #0: cost 1 inf + 0 25.485 * * [simplify]: Extracting #1: cost 30 inf + 0 25.485 * * [simplify]: Extracting #2: cost 72 inf + 0 25.486 * * [simplify]: Extracting #3: cost 138 inf + 2 25.486 * * [simplify]: Extracting #4: cost 143 inf + 890 25.489 * * [simplify]: Extracting #5: cost 80 inf + 17431 25.501 * * [simplify]: Extracting #6: cost 8 inf + 47315 25.512 * * [simplify]: Extracting #7: cost 0 inf + 52144 25.521 * * [simplify]: Extracting #8: cost 0 inf + 51944 25.529 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.529 * [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))))) 25.529 * * * * [progress]: [ 108 / 133 ] simplifiying candidate # 25.529 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 25.529 * * [simplify]: iters left: 6 (12 enodes) 25.534 * * [simplify]: iters left: 5 (52 enodes) 25.551 * * [simplify]: iters left: 4 (90 enodes) 25.585 * * [simplify]: iters left: 3 (151 enodes) 25.637 * * [simplify]: iters left: 2 (287 enodes) 25.728 * * [simplify]: Extracting #0: cost 1 inf + 0 25.728 * * [simplify]: Extracting #1: cost 31 inf + 0 25.729 * * [simplify]: Extracting #2: cost 99 inf + 2 25.729 * * [simplify]: Extracting #3: cost 141 inf + 219 25.730 * * [simplify]: Extracting #4: cost 139 inf + 807 25.731 * * [simplify]: Extracting #5: cost 85 inf + 6440 25.735 * * [simplify]: Extracting #6: cost 41 inf + 22533 25.741 * * [simplify]: Extracting #7: cost 3 inf + 47776 25.750 * * [simplify]: Extracting #8: cost 0 inf + 50387 25.764 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 25.765 * [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)))) 25.765 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 25.765 * * [simplify]: iters left: 6 (13 enodes) 25.774 * * [simplify]: iters left: 5 (57 enodes) 25.794 * * [simplify]: iters left: 4 (95 enodes) 25.821 * * [simplify]: iters left: 3 (154 enodes) 25.851 * * [simplify]: iters left: 2 (287 enodes) 25.933 * * [simplify]: Extracting #0: cost 1 inf + 0 25.933 * * [simplify]: Extracting #1: cost 30 inf + 0 25.933 * * [simplify]: Extracting #2: cost 73 inf + 0 25.933 * * [simplify]: Extracting #3: cost 136 inf + 3 25.934 * * [simplify]: Extracting #4: cost 130 inf + 1385 25.936 * * [simplify]: Extracting #5: cost 76 inf + 14535 25.942 * * [simplify]: Extracting #6: cost 5 inf + 50457 25.950 * * [simplify]: Extracting #7: cost 0 inf + 54374 25.958 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 25.958 * [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)))) 25.958 * * * * [progress]: [ 109 / 133 ] simplifiying candidate # 25.958 * * * * [progress]: [ 110 / 133 ] simplifiying candidate # 25.958 * * * * [progress]: [ 111 / 133 ] simplifiying candidate # 25.958 * * * * [progress]: [ 112 / 133 ] simplifiying candidate # 25.958 * [simplify]: Simplifying (cbrt (sqrt k)) 25.958 * * [simplify]: iters left: 2 (3 enodes) 25.959 * * [simplify]: iters left: 1 (9 enodes) 25.960 * * [simplify]: Extracting #0: cost 1 inf + 0 25.960 * * [simplify]: Extracting #1: cost 3 inf + 0 25.960 * * [simplify]: Extracting #2: cost 5 inf + 0 25.960 * * [simplify]: Extracting #3: cost 4 inf + 1 25.960 * * [simplify]: Extracting #4: cost 0 inf + 325 25.960 * [simplify]: Simplified to (cbrt (sqrt k)) 25.960 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 25.961 * * * * [progress]: [ 113 / 133 ] simplifiying candidate # 25.961 * [simplify]: Simplifying (sqrt (cbrt k)) 25.961 * * [simplify]: iters left: 2 (3 enodes) 25.961 * * [simplify]: iters left: 1 (9 enodes) 25.963 * * [simplify]: Extracting #0: cost 1 inf + 0 25.963 * * [simplify]: Extracting #1: cost 3 inf + 0 25.963 * * [simplify]: Extracting #2: cost 5 inf + 0 25.963 * * [simplify]: Extracting #3: cost 4 inf + 1 25.963 * * [simplify]: Extracting #4: cost 0 inf + 405 25.963 * [simplify]: Simplified to (sqrt (cbrt k)) 25.963 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 25.963 * * * * [progress]: [ 114 / 133 ] simplifiying candidate # 25.963 * [simplify]: Simplifying (sqrt (sqrt k)) 25.963 * * [simplify]: iters left: 2 (3 enodes) 25.964 * * [simplify]: iters left: 1 (9 enodes) 25.965 * * [simplify]: Extracting #0: cost 1 inf + 0 25.965 * * [simplify]: Extracting #1: cost 3 inf + 0 25.965 * * [simplify]: Extracting #2: cost 5 inf + 0 25.965 * * [simplify]: Extracting #3: cost 4 inf + 1 25.965 * * [simplify]: Extracting #4: cost 0 inf + 245 25.965 * [simplify]: Simplified to (sqrt (sqrt k)) 25.965 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 25.965 * * * * [progress]: [ 115 / 133 ] simplifiying candidate # 25.965 * [simplify]: Simplifying (sqrt k) 25.965 * * [simplify]: iters left: 1 (2 enodes) 25.966 * * [simplify]: Extracting #0: cost 1 inf + 0 25.966 * * [simplify]: Extracting #1: cost 3 inf + 0 25.966 * * [simplify]: Extracting #2: cost 2 inf + 1 25.966 * * [simplify]: Extracting #3: cost 0 inf + 83 25.966 * [simplify]: Simplified to (sqrt k) 25.966 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 25.966 * * * * [progress]: [ 116 / 133 ] simplifiying candidate # 25.966 * [simplify]: Simplifying (sqrt (sqrt k)) 25.966 * * [simplify]: iters left: 2 (3 enodes) 25.967 * * [simplify]: iters left: 1 (9 enodes) 25.968 * * [simplify]: Extracting #0: cost 1 inf + 0 25.968 * * [simplify]: Extracting #1: cost 3 inf + 0 25.968 * * [simplify]: Extracting #2: cost 5 inf + 0 25.968 * * [simplify]: Extracting #3: cost 4 inf + 1 25.968 * * [simplify]: Extracting #4: cost 0 inf + 245 25.968 * [simplify]: Simplified to (sqrt (sqrt k)) 25.968 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 25.968 * * * * [progress]: [ 117 / 133 ] simplifiying candidate # 25.969 * [simplify]: Simplifying (sqrt k) 25.969 * * [simplify]: iters left: 1 (2 enodes) 25.969 * * [simplify]: Extracting #0: cost 1 inf + 0 25.969 * * [simplify]: Extracting #1: cost 3 inf + 0 25.969 * * [simplify]: Extracting #2: cost 2 inf + 1 25.969 * * [simplify]: Extracting #3: cost 0 inf + 83 25.969 * [simplify]: Simplified to (sqrt k) 25.969 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 25.969 * * * * [progress]: [ 118 / 133 ] simplifiying candidate # 25.969 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 25.969 * * [simplify]: iters left: 5 (7 enodes) 25.972 * * [simplify]: iters left: 4 (32 enodes) 25.979 * * [simplify]: iters left: 3 (57 enodes) 25.998 * * [simplify]: iters left: 2 (88 enodes) 26.021 * * [simplify]: iters left: 1 (156 enodes) 26.067 * * [simplify]: Extracting #0: cost 1 inf + 0 26.067 * * [simplify]: Extracting #1: cost 13 inf + 0 26.067 * * [simplify]: Extracting #2: cost 49 inf + 2 26.067 * * [simplify]: Extracting #3: cost 80 inf + 6 26.068 * * [simplify]: Extracting #4: cost 58 inf + 1840 26.069 * * [simplify]: Extracting #5: cost 22 inf + 9206 26.072 * * [simplify]: Extracting #6: cost 1 inf + 20886 26.075 * * [simplify]: Extracting #7: cost 0 inf + 21301 26.078 * * [simplify]: Extracting #8: cost 0 inf + 21130 26.081 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 26.081 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 26.081 * * * * [progress]: [ 119 / 133 ] simplifiying candidate # 26.081 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 26.081 * * [simplify]: iters left: 6 (12 enodes) 26.085 * * [simplify]: iters left: 5 (51 enodes) 26.096 * * [simplify]: iters left: 4 (84 enodes) 26.119 * * [simplify]: iters left: 3 (125 enodes) 26.141 * * [simplify]: iters left: 2 (198 enodes) 26.199 * * [simplify]: iters left: 1 (353 enodes) 26.356 * * [simplify]: Extracting #0: cost 1 inf + 0 26.356 * * [simplify]: Extracting #1: cost 3 inf + 0 26.356 * * [simplify]: Extracting #2: cost 5 inf + 0 26.356 * * [simplify]: Extracting #3: cost 28 inf + 0 26.357 * * [simplify]: Extracting #4: cost 101 inf + 1 26.357 * * [simplify]: Extracting #5: cost 136 inf + 176 26.358 * * [simplify]: Extracting #6: cost 126 inf + 1348 26.360 * * [simplify]: Extracting #7: cost 70 inf + 12457 26.367 * * [simplify]: Extracting #8: cost 19 inf + 42176 26.384 * * [simplify]: Extracting #9: cost 0 inf + 57297 26.407 * * [simplify]: Extracting #10: cost 0 inf + 56855 26.422 * * [simplify]: Extracting #11: cost 0 inf + 56816 26.432 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 26.432 * [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)))))) 26.432 * * * * [progress]: [ 120 / 133 ] simplifiying candidate # 26.432 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 26.432 * * [simplify]: iters left: 6 (11 enodes) 26.436 * * [simplify]: iters left: 5 (48 enodes) 26.445 * * [simplify]: iters left: 4 (78 enodes) 26.469 * * [simplify]: iters left: 3 (120 enodes) 26.507 * * [simplify]: iters left: 2 (211 enodes) 26.563 * * [simplify]: iters left: 1 (380 enodes) 26.704 * * [simplify]: Extracting #0: cost 1 inf + 0 26.704 * * [simplify]: Extracting #1: cost 4 inf + 0 26.704 * * [simplify]: Extracting #2: cost 29 inf + 0 26.704 * * [simplify]: Extracting #3: cost 113 inf + 1 26.705 * * [simplify]: Extracting #4: cost 155 inf + 220 26.709 * * [simplify]: Extracting #5: cost 153 inf + 561 26.710 * * [simplify]: Extracting #6: cost 121 inf + 2833 26.713 * * [simplify]: Extracting #7: cost 68 inf + 14038 26.723 * * [simplify]: Extracting #8: cost 15 inf + 50044 26.743 * * [simplify]: Extracting #9: cost 0 inf + 59395 26.755 * * [simplify]: Extracting #10: cost 0 inf + 59194 26.766 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 26.766 * [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)))))) 26.766 * * * * [progress]: [ 121 / 133 ] simplifiying candidate # 26.766 * * * * [progress]: [ 122 / 133 ] simplifiying candidate # 26.766 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 26.766 * * [simplify]: iters left: 6 (11 enodes) 26.770 * * [simplify]: iters left: 5 (51 enodes) 26.781 * * [simplify]: iters left: 4 (87 enodes) 26.797 * * [simplify]: iters left: 3 (143 enodes) 26.838 * * [simplify]: iters left: 2 (259 enodes) 26.907 * * [simplify]: iters left: 1 (469 enodes) 27.139 * * [simplify]: Extracting #0: cost 1 inf + 0 27.139 * * [simplify]: Extracting #1: cost 24 inf + 0 27.139 * * [simplify]: Extracting #2: cost 110 inf + 1 27.140 * * [simplify]: Extracting #3: cost 192 inf + 178 27.141 * * [simplify]: Extracting #4: cost 178 inf + 1845 27.144 * * [simplify]: Extracting #5: cost 89 inf + 12477 27.150 * * [simplify]: Extracting #6: cost 41 inf + 28219 27.165 * * [simplify]: Extracting #7: cost 4 inf + 58625 27.178 * * [simplify]: Extracting #8: cost 0 inf + 62670 27.189 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 27.189 * [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))))) 27.189 * * * * [progress]: [ 123 / 133 ] simplifiying candidate # 27.189 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 27.189 * * [simplify]: iters left: 5 (8 enodes) 27.193 * * [simplify]: iters left: 4 (35 enodes) 27.207 * * [simplify]: iters left: 3 (63 enodes) 27.230 * * [simplify]: iters left: 2 (108 enodes) 27.261 * * [simplify]: iters left: 1 (162 enodes) 27.314 * * [simplify]: Extracting #0: cost 1 inf + 0 27.315 * * [simplify]: Extracting #1: cost 12 inf + 0 27.315 * * [simplify]: Extracting #2: cost 40 inf + 2 27.315 * * [simplify]: Extracting #3: cost 40 inf + 9 27.316 * * [simplify]: Extracting #4: cost 25 inf + 2233 27.318 * * [simplify]: Extracting #5: cost 10 inf + 8991 27.321 * * [simplify]: Extracting #6: cost 0 inf + 14572 27.324 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 27.324 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 27.325 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 27.325 * * * * [progress]: [ 125 / 133 ] simplifiying candidate # 27.325 * [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))))) 27.326 * * [simplify]: iters left: 6 (37 enodes) 27.347 * * [simplify]: iters left: 5 (190 enodes) 27.391 * * [simplify]: Extracting #0: cost 1 inf + 0 27.391 * * [simplify]: Extracting #1: cost 22 inf + 0 27.391 * * [simplify]: Extracting #2: cost 108 inf + 1 27.391 * * [simplify]: Extracting #3: cost 171 inf + 46 27.392 * * [simplify]: Extracting #4: cost 189 inf + 427 27.394 * * [simplify]: Extracting #5: cost 128 inf + 16032 27.405 * * [simplify]: Extracting #6: cost 29 inf + 57153 27.419 * * [simplify]: Extracting #7: cost 4 inf + 75884 27.441 * * [simplify]: Extracting #8: cost 0 inf + 78767 27.473 * [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))) 27.473 * [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))) 27.474 * * * * [progress]: [ 126 / 133 ] simplifiying candidate # 27.474 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 27.474 * * [simplify]: iters left: 6 (15 enodes) 27.484 * * [simplify]: iters left: 5 (65 enodes) 27.508 * * [simplify]: iters left: 4 (123 enodes) 27.562 * * [simplify]: iters left: 3 (367 enodes) 27.750 * * [simplify]: Extracting #0: cost 1 inf + 0 27.750 * * [simplify]: Extracting #1: cost 37 inf + 0 27.751 * * [simplify]: Extracting #2: cost 216 inf + 72 27.754 * * [simplify]: Extracting #3: cost 356 inf + 1622 27.762 * * [simplify]: Extracting #4: cost 219 inf + 28945 27.793 * * [simplify]: Extracting #5: cost 21 inf + 83197 27.813 * * [simplify]: Extracting #6: cost 0 inf + 89881 27.830 * * [simplify]: Extracting #7: cost 0 inf + 89729 27.862 * * [simplify]: Extracting #8: cost 0 inf + 89726 27.895 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 27.895 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 27.895 * * * * [progress]: [ 127 / 133 ] simplifiying candidate # 27.896 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 27.896 * * [simplify]: iters left: 6 (16 enodes) 27.906 * * [simplify]: iters left: 5 (67 enodes) 27.919 * * [simplify]: iters left: 4 (134 enodes) 27.960 * * [simplify]: iters left: 3 (413 enodes) 28.232 * * [simplify]: Extracting #0: cost 1 inf + 0 28.232 * * [simplify]: Extracting #1: cost 39 inf + 0 28.234 * * [simplify]: Extracting #2: cost 241 inf + 72 28.238 * * [simplify]: Extracting #3: cost 450 inf + 903 28.243 * * [simplify]: Extracting #4: cost 376 inf + 10375 28.253 * * [simplify]: Extracting #5: cost 158 inf + 67083 28.285 * * [simplify]: Extracting #6: cost 12 inf + 118840 28.332 * * [simplify]: Extracting #7: cost 0 inf + 121984 28.355 * * [simplify]: Extracting #8: cost 0 inf + 121983 28.388 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 28.389 * [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))) 28.389 * * * * [progress]: [ 128 / 133 ] simplifiying candidate # 28.389 * [simplify]: Simplifying (* 2 (* n PI)) 28.389 * * [simplify]: iters left: 4 (5 enodes) 28.393 * * [simplify]: iters left: 3 (19 enodes) 28.399 * * [simplify]: iters left: 2 (27 enodes) 28.408 * * [simplify]: iters left: 1 (32 enodes) 28.416 * * [simplify]: Extracting #0: cost 1 inf + 0 28.416 * * [simplify]: Extracting #1: cost 8 inf + 0 28.416 * * [simplify]: Extracting #2: cost 7 inf + 45 28.417 * * [simplify]: Extracting #3: cost 0 inf + 421 28.417 * [simplify]: Simplified to (* (* PI n) 2) 28.417 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.417 * * * * [progress]: [ 129 / 133 ] simplifiying candidate # 28.417 * [simplify]: Simplifying (* 2 (* n PI)) 28.417 * * [simplify]: iters left: 4 (5 enodes) 28.420 * * [simplify]: iters left: 3 (19 enodes) 28.427 * * [simplify]: iters left: 2 (27 enodes) 28.435 * * [simplify]: iters left: 1 (32 enodes) 28.445 * * [simplify]: Extracting #0: cost 1 inf + 0 28.445 * * [simplify]: Extracting #1: cost 8 inf + 0 28.445 * * [simplify]: Extracting #2: cost 7 inf + 45 28.446 * * [simplify]: Extracting #3: cost 0 inf + 421 28.446 * [simplify]: Simplified to (* (* PI n) 2) 28.446 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.446 * * * * [progress]: [ 130 / 133 ] simplifiying candidate # 28.446 * [simplify]: Simplifying (* 2 (* n PI)) 28.447 * * [simplify]: iters left: 4 (5 enodes) 28.450 * * [simplify]: iters left: 3 (19 enodes) 28.453 * * [simplify]: iters left: 2 (27 enodes) 28.457 * * [simplify]: iters left: 1 (32 enodes) 28.462 * * [simplify]: Extracting #0: cost 1 inf + 0 28.462 * * [simplify]: Extracting #1: cost 8 inf + 0 28.462 * * [simplify]: Extracting #2: cost 7 inf + 45 28.462 * * [simplify]: Extracting #3: cost 0 inf + 421 28.462 * [simplify]: Simplified to (* (* PI n) 2) 28.462 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.462 * * * * [progress]: [ 131 / 133 ] simplifiying candidate # 28.462 * [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)))))))))))))))))))))) 28.463 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.463 * * * * [progress]: [ 132 / 133 ] simplifiying candidate # 28.463 * [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)))))))) 28.463 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.463 * * * * [progress]: [ 133 / 133 ] simplifiying candidate # 28.463 * [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)))))))))))) 28.463 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.464 * * * [progress]: adding candidates to table 29.919 * * [progress]: iteration 2 / 4 29.919 * * * [progress]: picking best candidate 29.955 * * * * [pick]: Picked # 29.955 * * * [progress]: localizing error 30.010 * * * [progress]: generating rewritten candidates 30.010 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 30.029 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 30.034 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 30.059 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 30.081 * * * [progress]: generating series expansions 30.081 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 30.082 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 30.082 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 30.082 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 30.082 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 30.082 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 30.082 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.082 * [taylor]: Taking taylor expansion of 1/2 in k 30.082 * [backup-simplify]: Simplify 1/2 into 1/2 30.082 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.082 * [taylor]: Taking taylor expansion of 1 in k 30.082 * [backup-simplify]: Simplify 1 into 1 30.082 * [taylor]: Taking taylor expansion of k in k 30.082 * [backup-simplify]: Simplify 0 into 0 30.082 * [backup-simplify]: Simplify 1 into 1 30.082 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 30.083 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 30.083 * [taylor]: Taking taylor expansion of 2 in k 30.083 * [backup-simplify]: Simplify 2 into 2 30.083 * [taylor]: Taking taylor expansion of (* n PI) in k 30.083 * [taylor]: Taking taylor expansion of n in k 30.083 * [backup-simplify]: Simplify n into n 30.083 * [taylor]: Taking taylor expansion of PI in k 30.083 * [backup-simplify]: Simplify PI into PI 30.083 * [backup-simplify]: Simplify (* n PI) into (* n PI) 30.083 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 30.083 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 30.083 * [backup-simplify]: Simplify (- 0) into 0 30.084 * [backup-simplify]: Simplify (+ 1 0) into 1 30.084 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.084 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 30.085 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 30.085 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 30.085 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 30.085 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 30.085 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.085 * [taylor]: Taking taylor expansion of 1/2 in n 30.085 * [backup-simplify]: Simplify 1/2 into 1/2 30.085 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.085 * [taylor]: Taking taylor expansion of 1 in n 30.085 * [backup-simplify]: Simplify 1 into 1 30.085 * [taylor]: Taking taylor expansion of k in n 30.085 * [backup-simplify]: Simplify k into k 30.085 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.085 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.085 * [taylor]: Taking taylor expansion of 2 in n 30.085 * [backup-simplify]: Simplify 2 into 2 30.085 * [taylor]: Taking taylor expansion of (* n PI) in n 30.085 * [taylor]: Taking taylor expansion of n in n 30.085 * [backup-simplify]: Simplify 0 into 0 30.085 * [backup-simplify]: Simplify 1 into 1 30.085 * [taylor]: Taking taylor expansion of PI in n 30.085 * [backup-simplify]: Simplify PI into PI 30.086 * [backup-simplify]: Simplify (* 0 PI) into 0 30.086 * [backup-simplify]: Simplify (* 2 0) into 0 30.088 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.089 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.090 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.090 * [backup-simplify]: Simplify (- k) into (- k) 30.090 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.090 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.092 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.093 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 30.094 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 30.094 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 30.094 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 30.094 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 30.094 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.094 * [taylor]: Taking taylor expansion of 1/2 in n 30.094 * [backup-simplify]: Simplify 1/2 into 1/2 30.094 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.094 * [taylor]: Taking taylor expansion of 1 in n 30.094 * [backup-simplify]: Simplify 1 into 1 30.094 * [taylor]: Taking taylor expansion of k in n 30.094 * [backup-simplify]: Simplify k into k 30.094 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.094 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.094 * [taylor]: Taking taylor expansion of 2 in n 30.094 * [backup-simplify]: Simplify 2 into 2 30.094 * [taylor]: Taking taylor expansion of (* n PI) in n 30.094 * [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 * [taylor]: Taking taylor expansion of PI in n 30.095 * [backup-simplify]: Simplify PI into PI 30.095 * [backup-simplify]: Simplify (* 0 PI) into 0 30.096 * [backup-simplify]: Simplify (* 2 0) into 0 30.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.099 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.100 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.100 * [backup-simplify]: Simplify (- k) into (- k) 30.100 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.101 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.102 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.103 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 30.104 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 30.104 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 30.105 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 30.105 * [taylor]: Taking taylor expansion of 1/2 in k 30.105 * [backup-simplify]: Simplify 1/2 into 1/2 30.105 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 30.105 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.105 * [taylor]: Taking taylor expansion of 1 in k 30.105 * [backup-simplify]: Simplify 1 into 1 30.105 * [taylor]: Taking taylor expansion of k in k 30.105 * [backup-simplify]: Simplify 0 into 0 30.105 * [backup-simplify]: Simplify 1 into 1 30.105 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 30.105 * [taylor]: Taking taylor expansion of (log n) in k 30.105 * [taylor]: Taking taylor expansion of n in k 30.105 * [backup-simplify]: Simplify n into n 30.105 * [backup-simplify]: Simplify (log n) into (log n) 30.105 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.105 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.105 * [taylor]: Taking taylor expansion of 2 in k 30.105 * [backup-simplify]: Simplify 2 into 2 30.105 * [taylor]: Taking taylor expansion of PI in k 30.105 * [backup-simplify]: Simplify PI into PI 30.106 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.107 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.107 * [backup-simplify]: Simplify (- 0) into 0 30.108 * [backup-simplify]: Simplify (+ 1 0) into 1 30.109 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.110 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 30.111 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 30.112 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 30.113 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 30.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.115 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.117 * [backup-simplify]: Simplify (- 0) into 0 30.117 * [backup-simplify]: Simplify (+ 0 0) into 0 30.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 30.119 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.120 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 30.122 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.122 * [taylor]: Taking taylor expansion of 0 in k 30.122 * [backup-simplify]: Simplify 0 into 0 30.122 * [backup-simplify]: Simplify 0 into 0 30.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.124 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.126 * [backup-simplify]: Simplify (+ 0 0) into 0 30.127 * [backup-simplify]: Simplify (- 1) into -1 30.127 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.129 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 30.131 * [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))))) 30.134 * [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))))))) 30.137 * [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))))))) 30.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 30.139 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 30.143 * [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 30.144 * [backup-simplify]: Simplify (- 0) into 0 30.144 * [backup-simplify]: Simplify (+ 0 0) into 0 30.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 30.147 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.148 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.151 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.151 * [taylor]: Taking taylor expansion of 0 in k 30.151 * [backup-simplify]: Simplify 0 into 0 30.151 * [backup-simplify]: Simplify 0 into 0 30.151 * [backup-simplify]: Simplify 0 into 0 30.153 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.154 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.158 * [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 30.158 * [backup-simplify]: Simplify (+ 0 0) into 0 30.159 * [backup-simplify]: Simplify (- 0) into 0 30.159 * [backup-simplify]: Simplify (+ 0 0) into 0 30.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.168 * [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))))) 30.173 * [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))))) 30.182 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (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))))) 30.183 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 30.183 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 30.183 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 30.183 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 30.183 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 30.183 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.183 * [taylor]: Taking taylor expansion of 1/2 in k 30.183 * [backup-simplify]: Simplify 1/2 into 1/2 30.183 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.183 * [taylor]: Taking taylor expansion of 1 in k 30.183 * [backup-simplify]: Simplify 1 into 1 30.183 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.183 * [taylor]: Taking taylor expansion of k in k 30.184 * [backup-simplify]: Simplify 0 into 0 30.184 * [backup-simplify]: Simplify 1 into 1 30.184 * [backup-simplify]: Simplify (/ 1 1) into 1 30.184 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 30.184 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 30.184 * [taylor]: Taking taylor expansion of 2 in k 30.184 * [backup-simplify]: Simplify 2 into 2 30.184 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.184 * [taylor]: Taking taylor expansion of PI in k 30.184 * [backup-simplify]: Simplify PI into PI 30.184 * [taylor]: Taking taylor expansion of n in k 30.184 * [backup-simplify]: Simplify n into n 30.184 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.184 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 30.184 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 30.185 * [backup-simplify]: Simplify (- 1) into -1 30.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.186 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.186 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 30.186 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 30.186 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 30.186 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 30.186 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 30.186 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.186 * [taylor]: Taking taylor expansion of 1/2 in n 30.186 * [backup-simplify]: Simplify 1/2 into 1/2 30.186 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.186 * [taylor]: Taking taylor expansion of 1 in n 30.186 * [backup-simplify]: Simplify 1 into 1 30.186 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.187 * [taylor]: Taking taylor expansion of k in n 30.187 * [backup-simplify]: Simplify k into k 30.187 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.187 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.187 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.187 * [taylor]: Taking taylor expansion of 2 in n 30.187 * [backup-simplify]: Simplify 2 into 2 30.187 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.187 * [taylor]: Taking taylor expansion of PI in n 30.187 * [backup-simplify]: Simplify PI into PI 30.187 * [taylor]: Taking taylor expansion of n in n 30.187 * [backup-simplify]: Simplify 0 into 0 30.187 * [backup-simplify]: Simplify 1 into 1 30.187 * [backup-simplify]: Simplify (/ PI 1) into PI 30.188 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.189 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.189 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.189 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.189 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.190 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.191 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.193 * [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))))) 30.193 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 30.193 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 30.193 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 30.193 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.193 * [taylor]: Taking taylor expansion of 1/2 in n 30.193 * [backup-simplify]: Simplify 1/2 into 1/2 30.193 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.193 * [taylor]: Taking taylor expansion of 1 in n 30.193 * [backup-simplify]: Simplify 1 into 1 30.193 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.193 * [taylor]: Taking taylor expansion of k in n 30.193 * [backup-simplify]: Simplify k into k 30.193 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.193 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.193 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.193 * [taylor]: Taking taylor expansion of 2 in n 30.193 * [backup-simplify]: Simplify 2 into 2 30.193 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.193 * [taylor]: Taking taylor expansion of PI in n 30.193 * [backup-simplify]: Simplify PI into PI 30.193 * [taylor]: Taking taylor expansion of n in n 30.193 * [backup-simplify]: Simplify 0 into 0 30.193 * [backup-simplify]: Simplify 1 into 1 30.194 * [backup-simplify]: Simplify (/ PI 1) into PI 30.194 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.195 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.195 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.195 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.195 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.197 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.198 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.199 * [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))))) 30.199 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 30.199 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 30.199 * [taylor]: Taking taylor expansion of 1/2 in k 30.199 * [backup-simplify]: Simplify 1/2 into 1/2 30.199 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 30.199 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.199 * [taylor]: Taking taylor expansion of 1 in k 30.199 * [backup-simplify]: Simplify 1 into 1 30.199 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.199 * [taylor]: Taking taylor expansion of k in k 30.199 * [backup-simplify]: Simplify 0 into 0 30.199 * [backup-simplify]: Simplify 1 into 1 30.200 * [backup-simplify]: Simplify (/ 1 1) into 1 30.200 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 30.200 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.200 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.200 * [taylor]: Taking taylor expansion of 2 in k 30.200 * [backup-simplify]: Simplify 2 into 2 30.200 * [taylor]: Taking taylor expansion of PI in k 30.200 * [backup-simplify]: Simplify PI into PI 30.200 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.201 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.202 * [taylor]: Taking taylor expansion of (log 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 (log n) into (log n) 30.202 * [backup-simplify]: Simplify (- 1) into -1 30.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.203 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.204 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 30.205 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 30.206 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 30.207 * [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))))) 30.208 * [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))))) 30.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.210 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.212 * [backup-simplify]: Simplify (- 0) into 0 30.213 * [backup-simplify]: Simplify (+ 0 0) into 0 30.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 30.215 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.216 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 30.218 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.218 * [taylor]: Taking taylor expansion of 0 in k 30.218 * [backup-simplify]: Simplify 0 into 0 30.218 * [backup-simplify]: Simplify 0 into 0 30.218 * [backup-simplify]: Simplify 0 into 0 30.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.220 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.227 * [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 30.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.228 * [backup-simplify]: Simplify (- 0) into 0 30.228 * [backup-simplify]: Simplify (+ 0 0) into 0 30.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 30.231 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.232 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 30.235 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.235 * [taylor]: Taking taylor expansion of 0 in k 30.235 * [backup-simplify]: Simplify 0 into 0 30.235 * [backup-simplify]: Simplify 0 into 0 30.235 * [backup-simplify]: Simplify 0 into 0 30.235 * [backup-simplify]: Simplify 0 into 0 30.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.237 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.243 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 30.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.244 * [backup-simplify]: Simplify (- 0) into 0 30.244 * [backup-simplify]: Simplify (+ 0 0) into 0 30.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 30.247 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.249 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 30.252 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.252 * [taylor]: Taking taylor expansion of 0 in k 30.252 * [backup-simplify]: Simplify 0 into 0 30.252 * [backup-simplify]: Simplify 0 into 0 30.254 * [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)))))) 30.254 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 30.254 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 30.254 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 30.254 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 30.254 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 30.255 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.255 * [taylor]: Taking taylor expansion of 1/2 in k 30.255 * [backup-simplify]: Simplify 1/2 into 1/2 30.255 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.255 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.255 * [taylor]: Taking taylor expansion of k in k 30.255 * [backup-simplify]: Simplify 0 into 0 30.255 * [backup-simplify]: Simplify 1 into 1 30.255 * [backup-simplify]: Simplify (/ 1 1) into 1 30.255 * [taylor]: Taking taylor expansion of 1 in k 30.255 * [backup-simplify]: Simplify 1 into 1 30.255 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 30.255 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 30.255 * [taylor]: Taking taylor expansion of -2 in k 30.255 * [backup-simplify]: Simplify -2 into -2 30.255 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.255 * [taylor]: Taking taylor expansion of PI in k 30.255 * [backup-simplify]: Simplify PI into PI 30.255 * [taylor]: Taking taylor expansion of n in k 30.255 * [backup-simplify]: Simplify n into n 30.255 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.255 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 30.256 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 30.256 * [backup-simplify]: Simplify (+ 1 0) into 1 30.256 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.257 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 30.257 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 30.257 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 30.257 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 30.257 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 30.257 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.257 * [taylor]: Taking taylor expansion of 1/2 in n 30.257 * [backup-simplify]: Simplify 1/2 into 1/2 30.257 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.257 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.257 * [taylor]: Taking taylor expansion of k in n 30.257 * [backup-simplify]: Simplify k into k 30.257 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.257 * [taylor]: Taking taylor expansion of 1 in n 30.257 * [backup-simplify]: Simplify 1 into 1 30.257 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.257 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.257 * [taylor]: Taking taylor expansion of -2 in n 30.257 * [backup-simplify]: Simplify -2 into -2 30.257 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.257 * [taylor]: Taking taylor expansion of PI in n 30.257 * [backup-simplify]: Simplify PI into PI 30.257 * [taylor]: Taking taylor expansion of n in n 30.257 * [backup-simplify]: Simplify 0 into 0 30.257 * [backup-simplify]: Simplify 1 into 1 30.258 * [backup-simplify]: Simplify (/ PI 1) into PI 30.258 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.259 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.259 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.259 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.261 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.262 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.263 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.263 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 30.263 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 30.263 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 30.263 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.263 * [taylor]: Taking taylor expansion of 1/2 in n 30.263 * [backup-simplify]: Simplify 1/2 into 1/2 30.263 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.263 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.263 * [taylor]: Taking taylor expansion of k in n 30.263 * [backup-simplify]: Simplify k into k 30.263 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.264 * [taylor]: Taking taylor expansion of 1 in n 30.264 * [backup-simplify]: Simplify 1 into 1 30.264 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.264 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.264 * [taylor]: Taking taylor expansion of -2 in n 30.264 * [backup-simplify]: Simplify -2 into -2 30.264 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.264 * [taylor]: Taking taylor expansion of PI in n 30.264 * [backup-simplify]: Simplify PI into PI 30.264 * [taylor]: Taking taylor expansion of n in n 30.264 * [backup-simplify]: Simplify 0 into 0 30.264 * [backup-simplify]: Simplify 1 into 1 30.264 * [backup-simplify]: Simplify (/ PI 1) into PI 30.265 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.266 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.266 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.266 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.267 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.268 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.269 * [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))))) 30.270 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 30.270 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 30.270 * [taylor]: Taking taylor expansion of 1/2 in k 30.270 * [backup-simplify]: Simplify 1/2 into 1/2 30.270 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 30.270 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.270 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.270 * [taylor]: Taking taylor expansion of k in k 30.270 * [backup-simplify]: Simplify 0 into 0 30.270 * [backup-simplify]: Simplify 1 into 1 30.270 * [backup-simplify]: Simplify (/ 1 1) into 1 30.270 * [taylor]: Taking taylor expansion of 1 in k 30.270 * [backup-simplify]: Simplify 1 into 1 30.270 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 30.270 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 30.270 * [taylor]: Taking taylor expansion of (* -2 PI) in k 30.270 * [taylor]: Taking taylor expansion of -2 in k 30.270 * [backup-simplify]: Simplify -2 into -2 30.270 * [taylor]: Taking taylor expansion of PI in k 30.270 * [backup-simplify]: Simplify PI into PI 30.271 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.272 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.272 * [taylor]: Taking taylor expansion of (log n) in k 30.272 * [taylor]: Taking taylor expansion of n in k 30.272 * [backup-simplify]: Simplify n into n 30.272 * [backup-simplify]: Simplify (log n) into (log n) 30.272 * [backup-simplify]: Simplify (+ 1 0) into 1 30.273 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.274 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 30.275 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 30.276 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 30.277 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.278 * [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))))) 30.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.280 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 30.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.282 * [backup-simplify]: Simplify (+ 0 0) into 0 30.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 30.284 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.285 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 30.287 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.287 * [taylor]: Taking taylor expansion of 0 in k 30.287 * [backup-simplify]: Simplify 0 into 0 30.287 * [backup-simplify]: Simplify 0 into 0 30.287 * [backup-simplify]: Simplify 0 into 0 30.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.289 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 30.293 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 30.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.294 * [backup-simplify]: Simplify (+ 0 0) into 0 30.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 30.296 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.297 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 30.300 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.300 * [taylor]: Taking taylor expansion of 0 in k 30.300 * [backup-simplify]: Simplify 0 into 0 30.300 * [backup-simplify]: Simplify 0 into 0 30.300 * [backup-simplify]: Simplify 0 into 0 30.300 * [backup-simplify]: Simplify 0 into 0 30.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.303 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.309 * [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 30.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.310 * [backup-simplify]: Simplify (+ 0 0) into 0 30.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 30.312 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.314 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 30.317 * [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 30.317 * [taylor]: Taking taylor expansion of 0 in k 30.317 * [backup-simplify]: Simplify 0 into 0 30.317 * [backup-simplify]: Simplify 0 into 0 30.318 * [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)))))) 30.318 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 30.318 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 30.318 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 30.318 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.318 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.318 * [taylor]: Taking taylor expansion of k in k 30.318 * [backup-simplify]: Simplify 0 into 0 30.318 * [backup-simplify]: Simplify 1 into 1 30.319 * [backup-simplify]: Simplify (/ 1 1) into 1 30.319 * [backup-simplify]: Simplify (sqrt 0) into 0 30.321 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.321 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.321 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.321 * [taylor]: Taking taylor expansion of k in k 30.321 * [backup-simplify]: Simplify 0 into 0 30.321 * [backup-simplify]: Simplify 1 into 1 30.321 * [backup-simplify]: Simplify (/ 1 1) into 1 30.321 * [backup-simplify]: Simplify (sqrt 0) into 0 30.323 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.323 * [backup-simplify]: Simplify 0 into 0 30.323 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.327 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.327 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.332 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.332 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 30.332 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 30.332 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 30.332 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.332 * [taylor]: Taking taylor expansion of k in k 30.332 * [backup-simplify]: Simplify 0 into 0 30.332 * [backup-simplify]: Simplify 1 into 1 30.332 * [backup-simplify]: Simplify (sqrt 0) into 0 30.334 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.334 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.334 * [taylor]: Taking taylor expansion of k in k 30.334 * [backup-simplify]: Simplify 0 into 0 30.334 * [backup-simplify]: Simplify 1 into 1 30.334 * [backup-simplify]: Simplify (sqrt 0) into 0 30.335 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.335 * [backup-simplify]: Simplify 0 into 0 30.335 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.337 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.337 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.340 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.340 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 30.340 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 30.340 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 30.340 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 30.340 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.340 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.340 * [taylor]: Taking taylor expansion of -1 in k 30.340 * [backup-simplify]: Simplify -1 into -1 30.340 * [taylor]: Taking taylor expansion of k in k 30.340 * [backup-simplify]: Simplify 0 into 0 30.340 * [backup-simplify]: Simplify 1 into 1 30.340 * [backup-simplify]: Simplify (/ -1 1) into -1 30.340 * [backup-simplify]: Simplify (sqrt 0) into 0 30.341 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.342 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 30.342 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 30.342 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.342 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.342 * [taylor]: Taking taylor expansion of -1 in k 30.342 * [backup-simplify]: Simplify -1 into -1 30.342 * [taylor]: Taking taylor expansion of k in k 30.342 * [backup-simplify]: Simplify 0 into 0 30.342 * [backup-simplify]: Simplify 1 into 1 30.342 * [backup-simplify]: Simplify (/ -1 1) into -1 30.342 * [backup-simplify]: Simplify (sqrt 0) into 0 30.343 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.343 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 30.343 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.346 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.347 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 30.347 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.353 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 30.353 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.354 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 30.354 * * * * [progress]: [ 3 / 4 ] generating series at (2) 30.354 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 30.354 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 30.354 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 30.354 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 30.354 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 30.354 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 30.354 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.354 * [taylor]: Taking taylor expansion of 1/2 in k 30.354 * [backup-simplify]: Simplify 1/2 into 1/2 30.354 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.354 * [taylor]: Taking taylor expansion of 1 in k 30.354 * [backup-simplify]: Simplify 1 into 1 30.354 * [taylor]: Taking taylor expansion of k in k 30.354 * [backup-simplify]: Simplify 0 into 0 30.354 * [backup-simplify]: Simplify 1 into 1 30.354 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 30.354 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 30.354 * [taylor]: Taking taylor expansion of 2 in k 30.354 * [backup-simplify]: Simplify 2 into 2 30.354 * [taylor]: Taking taylor expansion of (* n PI) in k 30.354 * [taylor]: Taking taylor expansion of n in k 30.354 * [backup-simplify]: Simplify n into n 30.354 * [taylor]: Taking taylor expansion of PI in k 30.354 * [backup-simplify]: Simplify PI into PI 30.354 * [backup-simplify]: Simplify (* n PI) into (* n PI) 30.354 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 30.355 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 30.355 * [backup-simplify]: Simplify (- 0) into 0 30.355 * [backup-simplify]: Simplify (+ 1 0) into 1 30.355 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.355 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 30.355 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 30.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.355 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.356 * [taylor]: Taking taylor expansion of k in k 30.356 * [backup-simplify]: Simplify 0 into 0 30.356 * [backup-simplify]: Simplify 1 into 1 30.356 * [backup-simplify]: Simplify (/ 1 1) into 1 30.356 * [backup-simplify]: Simplify (sqrt 0) into 0 30.358 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.359 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 30.359 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 30.359 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 30.359 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 30.359 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.359 * [taylor]: Taking taylor expansion of 1/2 in n 30.359 * [backup-simplify]: Simplify 1/2 into 1/2 30.359 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.359 * [taylor]: Taking taylor expansion of 1 in n 30.359 * [backup-simplify]: Simplify 1 into 1 30.359 * [taylor]: Taking taylor expansion of k in n 30.359 * [backup-simplify]: Simplify k into k 30.359 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.359 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.359 * [taylor]: Taking taylor expansion of 2 in n 30.359 * [backup-simplify]: Simplify 2 into 2 30.359 * [taylor]: Taking taylor expansion of (* n PI) in n 30.359 * [taylor]: Taking taylor expansion of n in n 30.359 * [backup-simplify]: Simplify 0 into 0 30.359 * [backup-simplify]: Simplify 1 into 1 30.359 * [taylor]: Taking taylor expansion of PI in n 30.359 * [backup-simplify]: Simplify PI into PI 30.359 * [backup-simplify]: Simplify (* 0 PI) into 0 30.359 * [backup-simplify]: Simplify (* 2 0) into 0 30.360 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.361 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.362 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.362 * [backup-simplify]: Simplify (- k) into (- k) 30.362 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.362 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.363 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.364 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 30.364 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 30.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.364 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.364 * [taylor]: Taking taylor expansion of k in n 30.364 * [backup-simplify]: Simplify k into k 30.364 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.364 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.365 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 30.365 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 30.365 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 30.365 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 30.365 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.365 * [taylor]: Taking taylor expansion of 1/2 in n 30.365 * [backup-simplify]: Simplify 1/2 into 1/2 30.365 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.365 * [taylor]: Taking taylor expansion of 1 in n 30.365 * [backup-simplify]: Simplify 1 into 1 30.365 * [taylor]: Taking taylor expansion of k in n 30.365 * [backup-simplify]: Simplify k into k 30.365 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.365 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.365 * [taylor]: Taking taylor expansion of 2 in n 30.365 * [backup-simplify]: Simplify 2 into 2 30.365 * [taylor]: Taking taylor expansion of (* n PI) in n 30.365 * [taylor]: Taking taylor expansion of n in n 30.365 * [backup-simplify]: Simplify 0 into 0 30.365 * [backup-simplify]: Simplify 1 into 1 30.365 * [taylor]: Taking taylor expansion of PI in n 30.365 * [backup-simplify]: Simplify PI into PI 30.365 * [backup-simplify]: Simplify (* 0 PI) into 0 30.365 * [backup-simplify]: Simplify (* 2 0) into 0 30.366 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.367 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.368 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.368 * [backup-simplify]: Simplify (- k) into (- k) 30.368 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.368 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.369 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.369 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 30.370 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 30.370 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.370 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.370 * [taylor]: Taking taylor expansion of k in n 30.370 * [backup-simplify]: Simplify k into k 30.370 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.370 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.371 * [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))) 30.371 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 30.371 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 30.371 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 30.371 * [taylor]: Taking taylor expansion of 1/2 in k 30.371 * [backup-simplify]: Simplify 1/2 into 1/2 30.371 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 30.371 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.371 * [taylor]: Taking taylor expansion of 1 in k 30.371 * [backup-simplify]: Simplify 1 into 1 30.371 * [taylor]: Taking taylor expansion of k in k 30.371 * [backup-simplify]: Simplify 0 into 0 30.371 * [backup-simplify]: Simplify 1 into 1 30.371 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 30.372 * [taylor]: Taking taylor expansion of (log n) in k 30.372 * [taylor]: Taking taylor expansion of n in k 30.372 * [backup-simplify]: Simplify n into n 30.372 * [backup-simplify]: Simplify (log n) into (log n) 30.372 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.372 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.372 * [taylor]: Taking taylor expansion of 2 in k 30.372 * [backup-simplify]: Simplify 2 into 2 30.372 * [taylor]: Taking taylor expansion of PI in k 30.372 * [backup-simplify]: Simplify PI into PI 30.372 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.373 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.373 * [backup-simplify]: Simplify (- 0) into 0 30.373 * [backup-simplify]: Simplify (+ 1 0) into 1 30.374 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.374 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 30.375 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 30.376 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 30.376 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.376 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.376 * [taylor]: Taking taylor expansion of k in k 30.376 * [backup-simplify]: Simplify 0 into 0 30.376 * [backup-simplify]: Simplify 1 into 1 30.376 * [backup-simplify]: Simplify (/ 1 1) into 1 30.376 * [backup-simplify]: Simplify (sqrt 0) into 0 30.377 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.378 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 30.378 * [backup-simplify]: Simplify 0 into 0 30.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.379 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.380 * [backup-simplify]: Simplify (- 0) into 0 30.380 * [backup-simplify]: Simplify (+ 0 0) into 0 30.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 30.382 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.382 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 30.383 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.384 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 30.384 * [taylor]: Taking taylor expansion of 0 in k 30.384 * [backup-simplify]: Simplify 0 into 0 30.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.385 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.386 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.387 * [backup-simplify]: Simplify (+ 0 0) into 0 30.387 * [backup-simplify]: Simplify (- 1) into -1 30.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.389 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 30.390 * [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))))) 30.392 * [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))))))) 30.394 * [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))))))) 30.395 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 30.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.395 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 30.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 30.397 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 30.399 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.399 * [backup-simplify]: Simplify (- 0) into 0 30.399 * [backup-simplify]: Simplify (+ 0 0) into 0 30.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 30.400 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.401 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.404 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.405 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 30.405 * [taylor]: Taking taylor expansion of 0 in k 30.405 * [backup-simplify]: Simplify 0 into 0 30.405 * [backup-simplify]: Simplify 0 into 0 30.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.409 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.411 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.412 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.416 * [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 30.416 * [backup-simplify]: Simplify (+ 0 0) into 0 30.417 * [backup-simplify]: Simplify (- 0) into 0 30.417 * [backup-simplify]: Simplify (+ 0 0) into 0 30.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.423 * [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))))) 30.428 * [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)))))))) 30.431 * [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)))))))) 30.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 30.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.433 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 30.436 * [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 30.437 * [backup-simplify]: Simplify (- 0) into 0 30.437 * [backup-simplify]: Simplify (+ 0 0) into 0 30.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 30.439 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.440 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 30.442 * [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 30.443 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 30.443 * [taylor]: Taking taylor expansion of 0 in k 30.443 * [backup-simplify]: Simplify 0 into 0 30.443 * [backup-simplify]: Simplify 0 into 0 30.443 * [backup-simplify]: Simplify 0 into 0 30.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.449 * [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 30.450 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.459 * [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 30.459 * [backup-simplify]: Simplify (+ 0 0) into 0 30.460 * [backup-simplify]: Simplify (- 0) into 0 30.460 * [backup-simplify]: Simplify (+ 0 0) into 0 30.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 30.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 30.471 * [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))))))) 30.482 * [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)))))))))))))) 30.490 * [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)))))))))))))) 30.501 * [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)))))))))))))))))))))) 30.501 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (/ 1 (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 30.501 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 30.501 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 30.501 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 30.501 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 30.501 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 30.501 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.501 * [taylor]: Taking taylor expansion of 1/2 in k 30.502 * [backup-simplify]: Simplify 1/2 into 1/2 30.502 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.502 * [taylor]: Taking taylor expansion of 1 in k 30.502 * [backup-simplify]: Simplify 1 into 1 30.502 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.502 * [taylor]: Taking taylor expansion of k in k 30.502 * [backup-simplify]: Simplify 0 into 0 30.502 * [backup-simplify]: Simplify 1 into 1 30.502 * [backup-simplify]: Simplify (/ 1 1) into 1 30.502 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 30.502 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 30.502 * [taylor]: Taking taylor expansion of 2 in k 30.502 * [backup-simplify]: Simplify 2 into 2 30.502 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.502 * [taylor]: Taking taylor expansion of PI in k 30.502 * [backup-simplify]: Simplify PI into PI 30.502 * [taylor]: Taking taylor expansion of n in k 30.502 * [backup-simplify]: Simplify n into n 30.502 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.502 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 30.502 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 30.502 * [backup-simplify]: Simplify (- 1) into -1 30.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.503 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.503 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 30.503 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 30.503 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.503 * [taylor]: Taking taylor expansion of k in k 30.503 * [backup-simplify]: Simplify 0 into 0 30.503 * [backup-simplify]: Simplify 1 into 1 30.503 * [backup-simplify]: Simplify (sqrt 0) into 0 30.504 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.504 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 30.504 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 30.504 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 30.504 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 30.504 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.504 * [taylor]: Taking taylor expansion of 1/2 in n 30.505 * [backup-simplify]: Simplify 1/2 into 1/2 30.505 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.505 * [taylor]: Taking taylor expansion of 1 in n 30.505 * [backup-simplify]: Simplify 1 into 1 30.505 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.505 * [taylor]: Taking taylor expansion of k in n 30.505 * [backup-simplify]: Simplify k into k 30.505 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.505 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.505 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.505 * [taylor]: Taking taylor expansion of 2 in n 30.505 * [backup-simplify]: Simplify 2 into 2 30.505 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.505 * [taylor]: Taking taylor expansion of PI in n 30.505 * [backup-simplify]: Simplify PI into PI 30.505 * [taylor]: Taking taylor expansion of n in n 30.505 * [backup-simplify]: Simplify 0 into 0 30.505 * [backup-simplify]: Simplify 1 into 1 30.505 * [backup-simplify]: Simplify (/ PI 1) into PI 30.505 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.506 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.506 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.506 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.506 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.507 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.508 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.508 * [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))))) 30.508 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.509 * [taylor]: Taking taylor expansion of k in n 30.509 * [backup-simplify]: Simplify k into k 30.509 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.509 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 30.509 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 30.509 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 30.509 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 30.509 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.509 * [taylor]: Taking taylor expansion of 1/2 in n 30.509 * [backup-simplify]: Simplify 1/2 into 1/2 30.509 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.509 * [taylor]: Taking taylor expansion of 1 in n 30.509 * [backup-simplify]: Simplify 1 into 1 30.509 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.509 * [taylor]: Taking taylor expansion of k in n 30.509 * [backup-simplify]: Simplify k into k 30.509 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.509 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.509 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.509 * [taylor]: Taking taylor expansion of 2 in n 30.509 * [backup-simplify]: Simplify 2 into 2 30.509 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.509 * [taylor]: Taking taylor expansion of PI in n 30.509 * [backup-simplify]: Simplify PI into PI 30.509 * [taylor]: Taking taylor expansion of n in n 30.509 * [backup-simplify]: Simplify 0 into 0 30.509 * [backup-simplify]: Simplify 1 into 1 30.509 * [backup-simplify]: Simplify (/ PI 1) into PI 30.510 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.511 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.511 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.511 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.511 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.512 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.513 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.515 * [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))))) 30.515 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.515 * [taylor]: Taking taylor expansion of k in n 30.515 * [backup-simplify]: Simplify k into k 30.515 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.516 * [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)) 30.516 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 30.516 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 30.516 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 30.516 * [taylor]: Taking taylor expansion of 1/2 in k 30.516 * [backup-simplify]: Simplify 1/2 into 1/2 30.516 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 30.516 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.516 * [taylor]: Taking taylor expansion of 1 in k 30.516 * [backup-simplify]: Simplify 1 into 1 30.516 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.516 * [taylor]: Taking taylor expansion of k in k 30.516 * [backup-simplify]: Simplify 0 into 0 30.516 * [backup-simplify]: Simplify 1 into 1 30.517 * [backup-simplify]: Simplify (/ 1 1) into 1 30.517 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 30.517 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.517 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.517 * [taylor]: Taking taylor expansion of 2 in k 30.517 * [backup-simplify]: Simplify 2 into 2 30.517 * [taylor]: Taking taylor expansion of PI in k 30.517 * [backup-simplify]: Simplify PI into PI 30.517 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.518 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.518 * [taylor]: Taking taylor expansion of (log n) in k 30.519 * [taylor]: Taking taylor expansion of n in k 30.519 * [backup-simplify]: Simplify n into n 30.519 * [backup-simplify]: Simplify (log n) into (log n) 30.519 * [backup-simplify]: Simplify (- 1) into -1 30.519 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.519 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.521 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 30.522 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 30.523 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 30.524 * [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))))) 30.524 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.524 * [taylor]: Taking taylor expansion of k in k 30.524 * [backup-simplify]: Simplify 0 into 0 30.524 * [backup-simplify]: Simplify 1 into 1 30.524 * [backup-simplify]: Simplify (sqrt 0) into 0 30.526 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.527 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 30.527 * [backup-simplify]: Simplify 0 into 0 30.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.529 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.531 * [backup-simplify]: Simplify (- 0) into 0 30.532 * [backup-simplify]: Simplify (+ 0 0) into 0 30.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 30.533 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.535 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 30.537 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.538 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 30.538 * [taylor]: Taking taylor expansion of 0 in k 30.538 * [backup-simplify]: Simplify 0 into 0 30.538 * [backup-simplify]: Simplify 0 into 0 30.540 * [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))))))) 30.541 * [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))))))) 30.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 30.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.545 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.548 * [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 30.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.548 * [backup-simplify]: Simplify (- 0) into 0 30.549 * [backup-simplify]: Simplify (+ 0 0) into 0 30.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 30.551 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.553 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 30.556 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.557 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 30.557 * [taylor]: Taking taylor expansion of 0 in k 30.557 * [backup-simplify]: Simplify 0 into 0 30.557 * [backup-simplify]: Simplify 0 into 0 30.557 * [backup-simplify]: Simplify 0 into 0 30.561 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.563 * [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))))))) 30.564 * [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))))))) 30.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 30.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 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 30.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.574 * [backup-simplify]: Simplify (- 0) into 0 30.575 * [backup-simplify]: Simplify (+ 0 0) into 0 30.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 30.580 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.582 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 30.585 * [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 30.587 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 30.587 * [taylor]: Taking taylor expansion of 0 in k 30.587 * [backup-simplify]: Simplify 0 into 0 30.587 * [backup-simplify]: Simplify 0 into 0 30.587 * [backup-simplify]: Simplify 0 into 0 30.587 * [backup-simplify]: Simplify 0 into 0 30.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.595 * [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))))))) 30.596 * [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))))))) 30.601 * [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)))))))) 30.601 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (/ 1 (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 30.602 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 30.602 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 30.602 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 30.602 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 30.602 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 30.602 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.602 * [taylor]: Taking taylor expansion of 1/2 in k 30.602 * [backup-simplify]: Simplify 1/2 into 1/2 30.602 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.602 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.602 * [taylor]: Taking taylor expansion of k in k 30.602 * [backup-simplify]: Simplify 0 into 0 30.602 * [backup-simplify]: Simplify 1 into 1 30.602 * [backup-simplify]: Simplify (/ 1 1) into 1 30.602 * [taylor]: Taking taylor expansion of 1 in k 30.602 * [backup-simplify]: Simplify 1 into 1 30.602 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 30.602 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 30.602 * [taylor]: Taking taylor expansion of -2 in k 30.603 * [backup-simplify]: Simplify -2 into -2 30.603 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.603 * [taylor]: Taking taylor expansion of PI in k 30.603 * [backup-simplify]: Simplify PI into PI 30.603 * [taylor]: Taking taylor expansion of n in k 30.603 * [backup-simplify]: Simplify n into n 30.603 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.603 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 30.603 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 30.603 * [backup-simplify]: Simplify (+ 1 0) into 1 30.604 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.604 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 30.604 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 30.604 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.604 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.604 * [taylor]: Taking taylor expansion of -1 in k 30.604 * [backup-simplify]: Simplify -1 into -1 30.604 * [taylor]: Taking taylor expansion of k in k 30.604 * [backup-simplify]: Simplify 0 into 0 30.604 * [backup-simplify]: Simplify 1 into 1 30.605 * [backup-simplify]: Simplify (/ -1 1) into -1 30.605 * [backup-simplify]: Simplify (sqrt 0) into 0 30.607 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.607 * [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))))) 30.607 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 30.607 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 30.607 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 30.607 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 30.607 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.607 * [taylor]: Taking taylor expansion of 1/2 in n 30.607 * [backup-simplify]: Simplify 1/2 into 1/2 30.607 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.607 * [taylor]: Taking taylor expansion of k in n 30.607 * [backup-simplify]: Simplify k into k 30.607 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.607 * [taylor]: Taking taylor expansion of 1 in n 30.608 * [backup-simplify]: Simplify 1 into 1 30.608 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.608 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.608 * [taylor]: Taking taylor expansion of -2 in n 30.608 * [backup-simplify]: Simplify -2 into -2 30.608 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.608 * [taylor]: Taking taylor expansion of PI in n 30.608 * [backup-simplify]: Simplify PI into PI 30.608 * [taylor]: Taking taylor expansion of n in n 30.608 * [backup-simplify]: Simplify 0 into 0 30.608 * [backup-simplify]: Simplify 1 into 1 30.608 * [backup-simplify]: Simplify (/ PI 1) into PI 30.609 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.610 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.610 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.610 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.613 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.614 * [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))))) 30.614 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.614 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.614 * [taylor]: Taking taylor expansion of -1 in n 30.614 * [backup-simplify]: Simplify -1 into -1 30.614 * [taylor]: Taking taylor expansion of k in n 30.614 * [backup-simplify]: Simplify k into k 30.614 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.614 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.614 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.615 * [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))) 30.616 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 30.616 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 30.616 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 30.616 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 30.616 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.616 * [taylor]: Taking taylor expansion of 1/2 in n 30.616 * [backup-simplify]: Simplify 1/2 into 1/2 30.616 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.616 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.616 * [taylor]: Taking taylor expansion of k in n 30.616 * [backup-simplify]: Simplify k into k 30.616 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.616 * [taylor]: Taking taylor expansion of 1 in n 30.616 * [backup-simplify]: Simplify 1 into 1 30.616 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.616 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.616 * [taylor]: Taking taylor expansion of -2 in n 30.616 * [backup-simplify]: Simplify -2 into -2 30.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.616 * [taylor]: Taking taylor expansion of PI in n 30.616 * [backup-simplify]: Simplify PI into PI 30.616 * [taylor]: Taking taylor expansion of n in n 30.616 * [backup-simplify]: Simplify 0 into 0 30.616 * [backup-simplify]: Simplify 1 into 1 30.617 * [backup-simplify]: Simplify (/ PI 1) into PI 30.617 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.618 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.618 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.618 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.620 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.621 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.622 * [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))))) 30.622 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.622 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.622 * [taylor]: Taking taylor expansion of -1 in n 30.622 * [backup-simplify]: Simplify -1 into -1 30.622 * [taylor]: Taking taylor expansion of k in n 30.622 * [backup-simplify]: Simplify k into k 30.622 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.622 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.623 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.624 * [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))) 30.624 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 30.624 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 30.624 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 30.624 * [taylor]: Taking taylor expansion of 1/2 in k 30.624 * [backup-simplify]: Simplify 1/2 into 1/2 30.624 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 30.624 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.624 * [taylor]: Taking taylor expansion of k in k 30.624 * [backup-simplify]: Simplify 0 into 0 30.624 * [backup-simplify]: Simplify 1 into 1 30.625 * [backup-simplify]: Simplify (/ 1 1) into 1 30.625 * [taylor]: Taking taylor expansion of 1 in k 30.625 * [backup-simplify]: Simplify 1 into 1 30.625 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 30.625 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 30.625 * [taylor]: Taking taylor expansion of (* -2 PI) in k 30.625 * [taylor]: Taking taylor expansion of -2 in k 30.625 * [backup-simplify]: Simplify -2 into -2 30.625 * [taylor]: Taking taylor expansion of PI in k 30.625 * [backup-simplify]: Simplify PI into PI 30.625 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.626 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.626 * [taylor]: Taking taylor expansion of (log n) in k 30.626 * [taylor]: Taking taylor expansion of n in k 30.626 * [backup-simplify]: Simplify n into n 30.626 * [backup-simplify]: Simplify (log n) into (log n) 30.627 * [backup-simplify]: Simplify (+ 1 0) into 1 30.627 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.627 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 30.628 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 30.628 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 30.629 * [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))))) 30.629 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.629 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.629 * [taylor]: Taking taylor expansion of -1 in k 30.629 * [backup-simplify]: Simplify -1 into -1 30.629 * [taylor]: Taking taylor expansion of k in k 30.629 * [backup-simplify]: Simplify 0 into 0 30.629 * [backup-simplify]: Simplify 1 into 1 30.630 * [backup-simplify]: Simplify (/ -1 1) into -1 30.630 * [backup-simplify]: Simplify (sqrt 0) into 0 30.631 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.631 * [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)))))) 30.632 * [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)))))) 30.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.633 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 30.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.634 * [backup-simplify]: Simplify (+ 0 0) into 0 30.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 30.636 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.636 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 30.637 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.638 * [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 30.638 * [taylor]: Taking taylor expansion of 0 in k 30.638 * [backup-simplify]: Simplify 0 into 0 30.638 * [backup-simplify]: Simplify 0 into 0 30.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.641 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.642 * [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))))))) 30.643 * [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))))))) 30.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.644 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 30.646 * [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 30.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.646 * [backup-simplify]: Simplify (+ 0 0) into 0 30.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 30.648 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.649 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 30.650 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.650 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.651 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 30.651 * [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 30.651 * [taylor]: Taking taylor expansion of 0 in k 30.652 * [backup-simplify]: Simplify 0 into 0 30.652 * [backup-simplify]: Simplify 0 into 0 30.652 * [backup-simplify]: Simplify 0 into 0 30.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.655 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.657 * [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))))))) 30.658 * [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))))))) 30.661 * [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)))))))))))) 30.661 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 30.661 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 30.661 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 30.661 * [taylor]: Taking taylor expansion of (* 2 (* n 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 (* n PI) in n 30.661 * [taylor]: Taking taylor expansion of n in n 30.661 * [backup-simplify]: Simplify 0 into 0 30.661 * [backup-simplify]: Simplify 1 into 1 30.661 * [taylor]: Taking taylor expansion of PI in n 30.661 * [backup-simplify]: Simplify PI into PI 30.661 * [taylor]: Taking taylor expansion of (* 2 (* n 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 (* n PI) in n 30.661 * [taylor]: Taking taylor expansion of n in n 30.661 * [backup-simplify]: Simplify 0 into 0 30.661 * [backup-simplify]: Simplify 1 into 1 30.662 * [taylor]: Taking taylor expansion of PI in n 30.662 * [backup-simplify]: Simplify PI into PI 30.662 * [backup-simplify]: Simplify (* 0 PI) into 0 30.662 * [backup-simplify]: Simplify (* 2 0) into 0 30.662 * [backup-simplify]: Simplify 0 into 0 30.663 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.664 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.665 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.666 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.666 * [backup-simplify]: Simplify 0 into 0 30.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 30.668 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 30.668 * [backup-simplify]: Simplify 0 into 0 30.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.669 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 30.669 * [backup-simplify]: Simplify 0 into 0 30.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.671 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 30.671 * [backup-simplify]: Simplify 0 into 0 30.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.673 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 30.673 * [backup-simplify]: Simplify 0 into 0 30.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 30.675 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 30.675 * [backup-simplify]: Simplify 0 into 0 30.675 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 30.676 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 30.676 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 30.676 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.676 * [taylor]: Taking taylor expansion of 2 in n 30.676 * [backup-simplify]: Simplify 2 into 2 30.676 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.676 * [taylor]: Taking taylor expansion of PI in n 30.676 * [backup-simplify]: Simplify PI into PI 30.676 * [taylor]: Taking taylor expansion of n in n 30.676 * [backup-simplify]: Simplify 0 into 0 30.676 * [backup-simplify]: Simplify 1 into 1 30.676 * [backup-simplify]: Simplify (/ PI 1) into PI 30.676 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.676 * [taylor]: Taking taylor expansion of 2 in n 30.676 * [backup-simplify]: Simplify 2 into 2 30.676 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.676 * [taylor]: Taking taylor expansion of PI in n 30.676 * [backup-simplify]: Simplify PI into PI 30.676 * [taylor]: Taking taylor expansion of n in n 30.676 * [backup-simplify]: Simplify 0 into 0 30.676 * [backup-simplify]: Simplify 1 into 1 30.677 * [backup-simplify]: Simplify (/ PI 1) into PI 30.677 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.677 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.678 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.678 * [backup-simplify]: Simplify 0 into 0 30.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.680 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.680 * [backup-simplify]: Simplify 0 into 0 30.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.681 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.681 * [backup-simplify]: Simplify 0 into 0 30.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.682 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.682 * [backup-simplify]: Simplify 0 into 0 30.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.684 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.684 * [backup-simplify]: Simplify 0 into 0 30.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.687 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.688 * [backup-simplify]: Simplify 0 into 0 30.688 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 30.688 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 30.688 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 30.688 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.688 * [taylor]: Taking taylor expansion of -2 in n 30.688 * [backup-simplify]: Simplify -2 into -2 30.688 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.688 * [taylor]: Taking taylor expansion of PI in n 30.688 * [backup-simplify]: Simplify PI into PI 30.688 * [taylor]: Taking taylor expansion of n in n 30.688 * [backup-simplify]: Simplify 0 into 0 30.688 * [backup-simplify]: Simplify 1 into 1 30.689 * [backup-simplify]: Simplify (/ PI 1) into PI 30.689 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.689 * [taylor]: Taking taylor expansion of -2 in n 30.689 * [backup-simplify]: Simplify -2 into -2 30.689 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.689 * [taylor]: Taking taylor expansion of PI in n 30.689 * [backup-simplify]: Simplify PI into PI 30.689 * [taylor]: Taking taylor expansion of n in n 30.689 * [backup-simplify]: Simplify 0 into 0 30.689 * [backup-simplify]: Simplify 1 into 1 30.689 * [backup-simplify]: Simplify (/ PI 1) into PI 30.690 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.690 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.691 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.691 * [backup-simplify]: Simplify 0 into 0 30.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.692 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 30.692 * [backup-simplify]: Simplify 0 into 0 30.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.693 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.693 * [backup-simplify]: Simplify 0 into 0 30.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.695 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.695 * [backup-simplify]: Simplify 0 into 0 30.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.696 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.696 * [backup-simplify]: Simplify 0 into 0 30.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.698 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.698 * [backup-simplify]: Simplify 0 into 0 30.698 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 30.699 * * * [progress]: simplifying candidates 30.699 * * * * [progress]: [ 1 / 197 ] simplifiying candidate # 30.699 * * * * [progress]: [ 2 / 197 ] simplifiying candidate # 30.699 * * * * [progress]: [ 3 / 197 ] simplifiying candidate # 30.699 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 30.699 * * [simplify]: iters left: 6 (13 enodes) 30.703 * * [simplify]: iters left: 5 (54 enodes) 30.713 * * [simplify]: iters left: 4 (97 enodes) 30.749 * * [simplify]: iters left: 3 (250 enodes) 30.871 * * [simplify]: Extracting #0: cost 1 inf + 0 30.871 * * [simplify]: Extracting #1: cost 34 inf + 0 30.871 * * [simplify]: Extracting #2: cost 100 inf + 73 30.872 * * [simplify]: Extracting #3: cost 126 inf + 1867 30.875 * * [simplify]: Extracting #4: cost 46 inf + 20363 30.882 * * [simplify]: Extracting #5: cost 5 inf + 31901 30.896 * * [simplify]: Extracting #6: cost 0 inf + 33789 30.911 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 30.911 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (/ 1 (sqrt k)))) 30.911 * * * * [progress]: [ 4 / 197 ] simplifiying candidate # 30.911 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 30.911 * * [simplify]: iters left: 6 (12 enodes) 30.919 * * [simplify]: iters left: 5 (52 enodes) 30.936 * * [simplify]: iters left: 4 (90 enodes) 30.966 * * [simplify]: iters left: 3 (207 enodes) 31.058 * * [simplify]: Extracting #0: cost 1 inf + 0 31.058 * * [simplify]: Extracting #1: cost 29 inf + 0 31.058 * * [simplify]: Extracting #2: cost 88 inf + 73 31.059 * * [simplify]: Extracting #3: cost 117 inf + 443 31.060 * * [simplify]: Extracting #4: cost 77 inf + 5789 31.063 * * [simplify]: Extracting #5: cost 28 inf + 17508 31.069 * * [simplify]: Extracting #6: cost 0 inf + 26056 31.074 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 31.074 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (/ 1 (sqrt k)))) 31.074 * * * * [progress]: [ 5 / 197 ] simplifiying candidate # 31.075 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 31.075 * * [simplify]: iters left: 6 (11 enodes) 31.079 * * [simplify]: iters left: 5 (51 enodes) 31.090 * * [simplify]: iters left: 4 (97 enodes) 31.129 * * [simplify]: iters left: 3 (201 enodes) 31.183 * * [simplify]: Extracting #0: cost 1 inf + 0 31.183 * * [simplify]: Extracting #1: cost 31 inf + 0 31.183 * * [simplify]: Extracting #2: cost 94 inf + 2 31.184 * * [simplify]: Extracting #3: cost 127 inf + 355 31.185 * * [simplify]: Extracting #4: cost 75 inf + 7402 31.188 * * [simplify]: Extracting #5: cost 31 inf + 16283 31.195 * * [simplify]: Extracting #6: cost 3 inf + 23308 31.201 * * [simplify]: Extracting #7: cost 0 inf + 24140 31.207 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 31.207 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (/ 1 (sqrt k)))) 31.207 * * * * [progress]: [ 6 / 197 ] simplifiying candidate # 31.207 * * * * [progress]: [ 7 / 197 ] simplifiying candidate # 31.207 * [simplify]: Simplifying (* n (* 2 PI)) 31.207 * * [simplify]: iters left: 4 (5 enodes) 31.209 * * [simplify]: iters left: 3 (19 enodes) 31.212 * * [simplify]: iters left: 2 (27 enodes) 31.217 * * [simplify]: iters left: 1 (32 enodes) 31.221 * * [simplify]: Extracting #0: cost 1 inf + 0 31.221 * * [simplify]: Extracting #1: cost 8 inf + 0 31.221 * * [simplify]: Extracting #2: cost 7 inf + 45 31.221 * * [simplify]: Extracting #3: cost 0 inf + 421 31.221 * [simplify]: Simplified to (* (* PI 2) n) 31.221 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 31.221 * * * * [progress]: [ 8 / 197 ] simplifiying candidate # 31.221 * [simplify]: Simplifying (* n (* 2 PI)) 31.221 * * [simplify]: iters left: 4 (5 enodes) 31.223 * * [simplify]: iters left: 3 (19 enodes) 31.226 * * [simplify]: iters left: 2 (27 enodes) 31.231 * * [simplify]: iters left: 1 (32 enodes) 31.235 * * [simplify]: Extracting #0: cost 1 inf + 0 31.235 * * [simplify]: Extracting #1: cost 8 inf + 0 31.235 * * [simplify]: Extracting #2: cost 7 inf + 45 31.235 * * [simplify]: Extracting #3: cost 0 inf + 421 31.235 * [simplify]: Simplified to (* (* PI 2) n) 31.235 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 31.235 * * * * [progress]: [ 9 / 197 ] simplifiying candidate # 31.235 * [simplify]: Simplifying (* n (* 2 PI)) 31.236 * * [simplify]: iters left: 4 (5 enodes) 31.237 * * [simplify]: iters left: 3 (19 enodes) 31.240 * * [simplify]: iters left: 2 (27 enodes) 31.245 * * [simplify]: iters left: 1 (32 enodes) 31.249 * * [simplify]: Extracting #0: cost 1 inf + 0 31.249 * * [simplify]: Extracting #1: cost 8 inf + 0 31.249 * * [simplify]: Extracting #2: cost 7 inf + 45 31.249 * * [simplify]: Extracting #3: cost 0 inf + 421 31.249 * [simplify]: Simplified to (* (* PI 2) n) 31.249 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 31.249 * * * * [progress]: [ 10 / 197 ] simplifiying candidate # 31.250 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 31.250 * * [simplify]: iters left: 5 (8 enodes) 31.254 * * [simplify]: iters left: 4 (31 enodes) 31.264 * * [simplify]: iters left: 3 (51 enodes) 31.281 * * [simplify]: iters left: 2 (85 enodes) 31.312 * * [simplify]: iters left: 1 (152 enodes) 31.369 * * [simplify]: Extracting #0: cost 1 inf + 0 31.369 * * [simplify]: Extracting #1: cost 13 inf + 0 31.369 * * [simplify]: Extracting #2: cost 59 inf + 1 31.370 * * [simplify]: Extracting #3: cost 76 inf + 9 31.371 * * [simplify]: Extracting #4: cost 41 inf + 3303 31.374 * * [simplify]: Extracting #5: cost 16 inf + 10676 31.379 * * [simplify]: Extracting #6: cost 0 inf + 21028 31.385 * * [simplify]: Extracting #7: cost 0 inf + 20456 31.391 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 31.391 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ 1 (sqrt k)))) 31.391 * * * * [progress]: [ 11 / 197 ] simplifiying candidate # 31.391 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 31.391 * * [simplify]: iters left: 5 (6 enodes) 31.396 * * [simplify]: iters left: 4 (26 enodes) 31.405 * * [simplify]: iters left: 3 (35 enodes) 31.415 * * [simplify]: Extracting #0: cost 1 inf + 0 31.415 * * [simplify]: Extracting #1: cost 3 inf + 0 31.415 * * [simplify]: Extracting #2: cost 8 inf + 0 31.415 * * [simplify]: Extracting #3: cost 11 inf + 2 31.415 * * [simplify]: Extracting #4: cost 8 inf + 87 31.416 * * [simplify]: Extracting #5: cost 2 inf + 500 31.416 * * [simplify]: Extracting #6: cost 0 inf + 746 31.416 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 31.416 * [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))) (/ 1 (sqrt k)))) 31.416 * * * * [progress]: [ 12 / 197 ] simplifiying candidate # 31.417 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 31.417 * * [simplify]: iters left: 5 (6 enodes) 31.421 * * [simplify]: iters left: 4 (26 enodes) 31.430 * * [simplify]: iters left: 3 (35 enodes) 31.441 * * [simplify]: Extracting #0: cost 1 inf + 0 31.441 * * [simplify]: Extracting #1: cost 3 inf + 0 31.441 * * [simplify]: Extracting #2: cost 8 inf + 0 31.441 * * [simplify]: Extracting #3: cost 11 inf + 2 31.441 * * [simplify]: Extracting #4: cost 8 inf + 87 31.441 * * [simplify]: Extracting #5: cost 2 inf + 460 31.442 * * [simplify]: Extracting #6: cost 0 inf + 666 31.442 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 31.442 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 31.442 * * * * [progress]: [ 13 / 197 ] simplifiying candidate # 31.442 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 31.443 * * [simplify]: iters left: 5 (7 enodes) 31.450 * * [simplify]: iters left: 4 (25 enodes) 31.458 * * [simplify]: iters left: 3 (30 enodes) 31.467 * * [simplify]: Extracting #0: cost 1 inf + 0 31.467 * * [simplify]: Extracting #1: cost 4 inf + 0 31.467 * * [simplify]: Extracting #2: cost 8 inf + 0 31.468 * * [simplify]: Extracting #3: cost 10 inf + 82 31.468 * * [simplify]: Extracting #4: cost 7 inf + 206 31.468 * * [simplify]: Extracting #5: cost 2 inf + 575 31.468 * * [simplify]: Extracting #6: cost 1 inf + 818 31.468 * * [simplify]: Extracting #7: cost 0 inf + 1061 31.469 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 31.469 * [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))) (/ 1 (sqrt k)))) 31.469 * * * * [progress]: [ 14 / 197 ] simplifiying candidate # 31.469 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 31.469 * * [simplify]: iters left: 5 (7 enodes) 31.474 * * [simplify]: iters left: 4 (25 enodes) 31.482 * * [simplify]: iters left: 3 (30 enodes) 31.492 * * [simplify]: Extracting #0: cost 1 inf + 0 31.492 * * [simplify]: Extracting #1: cost 4 inf + 0 31.492 * * [simplify]: Extracting #2: cost 8 inf + 0 31.492 * * [simplify]: Extracting #3: cost 10 inf + 42 31.492 * * [simplify]: Extracting #4: cost 7 inf + 126 31.492 * * [simplify]: Extracting #5: cost 2 inf + 495 31.492 * * [simplify]: Extracting #6: cost 1 inf + 698 31.493 * * [simplify]: Extracting #7: cost 0 inf + 901 31.493 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 31.493 * [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))) (/ 1 (sqrt k)))) 31.493 * * * * [progress]: [ 15 / 197 ] simplifiying candidate # 31.494 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 31.494 * * [simplify]: iters left: 5 (6 enodes) 31.497 * * [simplify]: iters left: 4 (22 enodes) 31.505 * * [simplify]: iters left: 3 (27 enodes) 31.513 * * [simplify]: Extracting #0: cost 1 inf + 0 31.513 * * [simplify]: Extracting #1: cost 4 inf + 0 31.513 * * [simplify]: Extracting #2: cost 5 inf + 1 31.513 * * [simplify]: Extracting #3: cost 9 inf + 1 31.513 * * [simplify]: Extracting #4: cost 8 inf + 3 31.513 * * [simplify]: Extracting #5: cost 4 inf + 169 31.513 * * [simplify]: Extracting #6: cost 1 inf + 576 31.514 * * [simplify]: Extracting #7: cost 0 inf + 739 31.514 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 31.514 * [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)) (/ 1 (sqrt k)))) 31.514 * * * * [progress]: [ 16 / 197 ] simplifiying candidate # 31.515 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 31.515 * * [simplify]: iters left: 5 (7 enodes) 31.519 * * [simplify]: iters left: 4 (25 enodes) 31.527 * * [simplify]: iters left: 3 (30 enodes) 31.537 * * [simplify]: Extracting #0: cost 1 inf + 0 31.537 * * [simplify]: Extracting #1: cost 4 inf + 0 31.537 * * [simplify]: Extracting #2: cost 8 inf + 0 31.537 * * [simplify]: Extracting #3: cost 10 inf + 82 31.537 * * [simplify]: Extracting #4: cost 7 inf + 206 31.538 * * [simplify]: Extracting #5: cost 2 inf + 495 31.538 * * [simplify]: Extracting #6: cost 1 inf + 698 31.538 * * [simplify]: Extracting #7: cost 0 inf + 901 31.538 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 31.539 * [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))) (/ 1 (sqrt k)))) 31.539 * * * * [progress]: [ 17 / 197 ] simplifiying candidate # 31.539 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 31.539 * * [simplify]: iters left: 5 (7 enodes) 31.543 * * [simplify]: iters left: 4 (25 enodes) 31.552 * * [simplify]: iters left: 3 (30 enodes) 31.562 * * [simplify]: Extracting #0: cost 1 inf + 0 31.562 * * [simplify]: Extracting #1: cost 4 inf + 0 31.562 * * [simplify]: Extracting #2: cost 8 inf + 0 31.562 * * [simplify]: Extracting #3: cost 10 inf + 42 31.562 * * [simplify]: Extracting #4: cost 7 inf + 126 31.563 * * [simplify]: Extracting #5: cost 2 inf + 415 31.563 * * [simplify]: Extracting #6: cost 1 inf + 578 31.563 * * [simplify]: Extracting #7: cost 0 inf + 741 31.563 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 31.564 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 31.564 * * * * [progress]: [ 18 / 197 ] simplifiying candidate # 31.564 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 31.564 * * [simplify]: iters left: 5 (6 enodes) 31.568 * * [simplify]: iters left: 4 (22 enodes) 31.573 * * [simplify]: iters left: 3 (27 enodes) 31.577 * * [simplify]: Extracting #0: cost 1 inf + 0 31.577 * * [simplify]: Extracting #1: cost 4 inf + 0 31.577 * * [simplify]: Extracting #2: cost 5 inf + 1 31.577 * * [simplify]: Extracting #3: cost 9 inf + 1 31.577 * * [simplify]: Extracting #4: cost 8 inf + 3 31.577 * * [simplify]: Extracting #5: cost 4 inf + 169 31.577 * * [simplify]: Extracting #6: cost 1 inf + 456 31.577 * * [simplify]: Extracting #7: cost 0 inf + 579 31.577 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 31.577 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 31.577 * * * * [progress]: [ 19 / 197 ] simplifiying candidate # 31.578 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 31.578 * * [simplify]: iters left: 4 (6 enodes) 31.580 * * [simplify]: iters left: 3 (25 enodes) 31.584 * * [simplify]: iters left: 2 (36 enodes) 31.592 * * [simplify]: iters left: 1 (40 enodes) 31.599 * * [simplify]: Extracting #0: cost 1 inf + 0 31.599 * * [simplify]: Extracting #1: cost 7 inf + 0 31.599 * * [simplify]: Extracting #2: cost 16 inf + 0 31.599 * * [simplify]: Extracting #3: cost 13 inf + 44 31.599 * * [simplify]: Extracting #4: cost 3 inf + 1103 31.600 * * [simplify]: Extracting #5: cost 0 inf + 1469 31.600 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 31.600 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 31.600 * * * * [progress]: [ 20 / 197 ] simplifiying candidate # 31.601 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 31.601 * * [simplify]: iters left: 4 (6 enodes) 31.605 * * [simplify]: iters left: 3 (25 enodes) 31.614 * * [simplify]: iters left: 2 (36 enodes) 31.625 * * [simplify]: iters left: 1 (40 enodes) 31.631 * * [simplify]: Extracting #0: cost 1 inf + 0 31.632 * * [simplify]: Extracting #1: cost 7 inf + 0 31.632 * * [simplify]: Extracting #2: cost 16 inf + 0 31.632 * * [simplify]: Extracting #3: cost 13 inf + 44 31.632 * * [simplify]: Extracting #4: cost 3 inf + 823 31.632 * * [simplify]: Extracting #5: cost 0 inf + 1069 31.632 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 31.632 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 31.632 * * * * [progress]: [ 21 / 197 ] simplifiying candidate # 31.633 * [simplify]: Simplifying (/ (- 1 k) 2) 31.633 * * [simplify]: iters left: 4 (5 enodes) 31.635 * * [simplify]: iters left: 3 (23 enodes) 31.639 * * [simplify]: iters left: 2 (32 enodes) 31.644 * * [simplify]: Extracting #0: cost 1 inf + 0 31.644 * * [simplify]: Extracting #1: cost 6 inf + 0 31.644 * * [simplify]: Extracting #2: cost 9 inf + 2 31.644 * * [simplify]: Extracting #3: cost 6 inf + 87 31.644 * * [simplify]: Extracting #4: cost 0 inf + 420 31.644 * [simplify]: Simplified to (/ (- 1 k) 2) 31.644 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.645 * * * * [progress]: [ 22 / 197 ] simplifiying candidate # 31.645 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 31.645 * * [simplify]: iters left: 5 (8 enodes) 31.648 * * [simplify]: iters left: 4 (31 enodes) 31.653 * * [simplify]: iters left: 3 (45 enodes) 31.661 * * [simplify]: iters left: 2 (51 enodes) 31.675 * * [simplify]: iters left: 1 (52 enodes) 31.689 * * [simplify]: Extracting #0: cost 1 inf + 0 31.689 * * [simplify]: Extracting #1: cost 8 inf + 0 31.689 * * [simplify]: Extracting #2: cost 18 inf + 0 31.689 * * [simplify]: Extracting #3: cost 19 inf + 2 31.689 * * [simplify]: Extracting #4: cost 9 inf + 977 31.690 * * [simplify]: Extracting #5: cost 2 inf + 1790 31.691 * * [simplify]: Extracting #6: cost 0 inf + 2195 31.691 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 31.691 * [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))) (/ 1 (sqrt k)))) 31.692 * * * * [progress]: [ 23 / 197 ] simplifiying candidate # 31.692 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 31.692 * * [simplify]: iters left: 5 (8 enodes) 31.697 * * [simplify]: iters left: 4 (31 enodes) 31.705 * * [simplify]: iters left: 3 (45 enodes) 31.712 * * [simplify]: iters left: 2 (51 enodes) 31.719 * * [simplify]: iters left: 1 (52 enodes) 31.726 * * [simplify]: Extracting #0: cost 1 inf + 0 31.726 * * [simplify]: Extracting #1: cost 8 inf + 0 31.726 * * [simplify]: Extracting #2: cost 18 inf + 0 31.726 * * [simplify]: Extracting #3: cost 19 inf + 2 31.727 * * [simplify]: Extracting #4: cost 9 inf + 697 31.727 * * [simplify]: Extracting #5: cost 2 inf + 1390 31.728 * * [simplify]: Extracting #6: cost 0 inf + 1715 31.728 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 31.729 * [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))) (/ 1 (sqrt k)))) 31.729 * * * * [progress]: [ 24 / 197 ] simplifiying candidate # 31.729 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 31.729 * * [simplify]: iters left: 5 (7 enodes) 31.734 * * [simplify]: iters left: 4 (29 enodes) 31.744 * * [simplify]: iters left: 3 (43 enodes) 31.756 * * [simplify]: iters left: 2 (47 enodes) 31.769 * * [simplify]: Extracting #0: cost 1 inf + 0 31.769 * * [simplify]: Extracting #1: cost 7 inf + 0 31.769 * * [simplify]: Extracting #2: cost 11 inf + 2 31.770 * * [simplify]: Extracting #3: cost 13 inf + 3 31.770 * * [simplify]: Extracting #4: cost 11 inf + 45 31.770 * * [simplify]: Extracting #5: cost 0 inf + 1066 31.771 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 31.771 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 31.771 * * * * [progress]: [ 25 / 197 ] simplifiying candidate # 31.771 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 31.771 * * [simplify]: iters left: 5 (7 enodes) 31.776 * * [simplify]: iters left: 4 (28 enodes) 31.786 * * [simplify]: iters left: 3 (39 enodes) 31.798 * * [simplify]: iters left: 2 (43 enodes) 31.810 * * [simplify]: Extracting #0: cost 1 inf + 0 31.810 * * [simplify]: Extracting #1: cost 7 inf + 0 31.810 * * [simplify]: Extracting #2: cost 16 inf + 0 31.811 * * [simplify]: Extracting #3: cost 15 inf + 164 31.811 * * [simplify]: Extracting #4: cost 13 inf + 287 31.811 * * [simplify]: Extracting #5: cost 5 inf + 1180 31.812 * * [simplify]: Extracting #6: cost 0 inf + 1951 31.812 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 31.812 * [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))) (/ 1 (sqrt k)))) 31.812 * * * * [progress]: [ 26 / 197 ] simplifiying candidate # 31.813 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 31.813 * * [simplify]: iters left: 5 (7 enodes) 31.817 * * [simplify]: iters left: 4 (28 enodes) 31.827 * * [simplify]: iters left: 3 (39 enodes) 31.839 * * [simplify]: iters left: 2 (43 enodes) 31.854 * * [simplify]: Extracting #0: cost 1 inf + 0 31.854 * * [simplify]: Extracting #1: cost 7 inf + 0 31.855 * * [simplify]: Extracting #2: cost 16 inf + 0 31.855 * * [simplify]: Extracting #3: cost 15 inf + 84 31.855 * * [simplify]: Extracting #4: cost 13 inf + 167 31.855 * * [simplify]: Extracting #5: cost 5 inf + 900 31.856 * * [simplify]: Extracting #6: cost 0 inf + 1551 31.856 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 31.856 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 31.857 * * * * [progress]: [ 27 / 197 ] simplifiying candidate # 31.857 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 31.857 * * [simplify]: iters left: 5 (6 enodes) 31.861 * * [simplify]: iters left: 4 (26 enodes) 31.870 * * [simplify]: iters left: 3 (35 enodes) 31.881 * * [simplify]: Extracting #0: cost 1 inf + 0 31.881 * * [simplify]: Extracting #1: cost 6 inf + 0 31.881 * * [simplify]: Extracting #2: cost 9 inf + 2 31.881 * * [simplify]: Extracting #3: cost 11 inf + 3 31.882 * * [simplify]: Extracting #4: cost 10 inf + 4 31.882 * * [simplify]: Extracting #5: cost 3 inf + 535 31.882 * * [simplify]: Extracting #6: cost 0 inf + 822 31.882 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 31.882 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 31.883 * * * * [progress]: [ 28 / 197 ] simplifiying candidate # 31.883 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 31.883 * * [simplify]: iters left: 4 (6 enodes) 31.887 * * [simplify]: iters left: 3 (25 enodes) 31.896 * * [simplify]: iters left: 2 (36 enodes) 31.907 * * [simplify]: iters left: 1 (40 enodes) 31.919 * * [simplify]: Extracting #0: cost 1 inf + 0 31.920 * * [simplify]: Extracting #1: cost 7 inf + 0 31.920 * * [simplify]: Extracting #2: cost 16 inf + 0 31.920 * * [simplify]: Extracting #3: cost 13 inf + 44 31.920 * * [simplify]: Extracting #4: cost 3 inf + 1103 31.921 * * [simplify]: Extracting #5: cost 0 inf + 1469 31.921 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 31.921 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 31.921 * * * * [progress]: [ 29 / 197 ] simplifiying candidate # 31.922 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 31.922 * * [simplify]: iters left: 4 (6 enodes) 31.926 * * [simplify]: iters left: 3 (25 enodes) 31.935 * * [simplify]: iters left: 2 (36 enodes) 31.943 * * [simplify]: iters left: 1 (40 enodes) 31.949 * * [simplify]: Extracting #0: cost 1 inf + 0 31.949 * * [simplify]: Extracting #1: cost 7 inf + 0 31.949 * * [simplify]: Extracting #2: cost 16 inf + 0 31.949 * * [simplify]: Extracting #3: cost 13 inf + 44 31.949 * * [simplify]: Extracting #4: cost 3 inf + 823 31.950 * * [simplify]: Extracting #5: cost 0 inf + 1069 31.950 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 31.950 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 31.950 * * * * [progress]: [ 30 / 197 ] simplifiying candidate # 31.950 * [simplify]: Simplifying (/ (- 1 k) 2) 31.950 * * [simplify]: iters left: 4 (5 enodes) 31.952 * * [simplify]: iters left: 3 (23 enodes) 31.957 * * [simplify]: iters left: 2 (32 enodes) 31.962 * * [simplify]: Extracting #0: cost 1 inf + 0 31.962 * * [simplify]: Extracting #1: cost 6 inf + 0 31.962 * * [simplify]: Extracting #2: cost 9 inf + 2 31.962 * * [simplify]: Extracting #3: cost 6 inf + 87 31.962 * * [simplify]: Extracting #4: cost 0 inf + 420 31.962 * [simplify]: Simplified to (/ (- 1 k) 2) 31.962 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.962 * * * * [progress]: [ 31 / 197 ] simplifiying candidate # 31.963 * [simplify]: Simplifying (/ (- 1 k) 2) 31.963 * * [simplify]: iters left: 4 (5 enodes) 31.965 * * [simplify]: iters left: 3 (23 enodes) 31.969 * * [simplify]: iters left: 2 (32 enodes) 31.980 * * [simplify]: Extracting #0: cost 1 inf + 0 31.980 * * [simplify]: Extracting #1: cost 6 inf + 0 31.980 * * [simplify]: Extracting #2: cost 9 inf + 2 31.981 * * [simplify]: Extracting #3: cost 6 inf + 87 31.981 * * [simplify]: Extracting #4: cost 0 inf + 420 31.981 * [simplify]: Simplified to (/ (- 1 k) 2) 31.981 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.981 * * * * [progress]: [ 32 / 197 ] simplifiying candidate # 31.982 * [simplify]: Simplifying (/ 1 2) 31.982 * * [simplify]: iters left: 2 (3 enodes) 31.985 * * [simplify]: iters left: 1 (12 enodes) 31.989 * * [simplify]: Extracting #0: cost 1 inf + 0 31.989 * * [simplify]: Extracting #1: cost 0 inf + 1 31.989 * [simplify]: Simplified to 1/2 31.989 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (/ 1 (sqrt k)))) 31.990 * * * * [progress]: [ 33 / 197 ] simplifiying candidate # 31.990 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 31.990 * * [simplify]: iters left: 5 (7 enodes) 31.995 * * [simplify]: iters left: 4 (32 enodes) 32.007 * * [simplify]: iters left: 3 (57 enodes) 32.027 * * [simplify]: iters left: 2 (88 enodes) 32.058 * * [simplify]: iters left: 1 (156 enodes) 32.110 * * [simplify]: Extracting #0: cost 1 inf + 0 32.110 * * [simplify]: Extracting #1: cost 13 inf + 0 32.110 * * [simplify]: Extracting #2: cost 49 inf + 2 32.110 * * [simplify]: Extracting #3: cost 80 inf + 6 32.111 * * [simplify]: Extracting #4: cost 58 inf + 1840 32.114 * * [simplify]: Extracting #5: cost 22 inf + 9206 32.117 * * [simplify]: Extracting #6: cost 1 inf + 20886 32.121 * * [simplify]: Extracting #7: cost 0 inf + 21301 32.124 * * [simplify]: Extracting #8: cost 0 inf + 21130 32.127 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 32.127 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 32.127 * * * * [progress]: [ 34 / 197 ] simplifiying candidate # 32.127 * * * * [progress]: [ 35 / 197 ] simplifiying candidate # 32.128 * * * * [progress]: [ 36 / 197 ] simplifiying candidate # 32.128 * * * * [progress]: [ 37 / 197 ] simplifiying candidate # 32.128 * * * * [progress]: [ 38 / 197 ] simplifiying candidate # 32.128 * * * * [progress]: [ 39 / 197 ] simplifiying candidate # 32.128 * * * * [progress]: [ 40 / 197 ] simplifiying candidate # 32.128 * * * * [progress]: [ 41 / 197 ] simplifiying candidate # 32.128 * * * * [progress]: [ 42 / 197 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))> 32.128 * * * * [progress]: [ 43 / 197 ] simplifiying candidate # 32.128 * * * * [progress]: [ 44 / 197 ] simplifiying candidate # 32.128 * * * * [progress]: [ 45 / 197 ] simplifiying candidate # 32.128 * * * * [progress]: [ 46 / 197 ] simplifiying candidate # 32.128 * [simplify]: Simplifying (- 1/2) 32.128 * * [simplify]: iters left: 2 (2 enodes) 32.131 * * [simplify]: iters left: 1 (7 enodes) 32.133 * * [simplify]: Extracting #0: cost 1 inf + 0 32.133 * * [simplify]: Extracting #1: cost 0 inf + 1 32.133 * [simplify]: Simplified to -1/2 32.133 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 32.133 * * * * [progress]: [ 47 / 197 ] simplifiying candidate # 32.134 * [simplify]: Simplifying (- 1) 32.134 * * [simplify]: iters left: 2 (2 enodes) 32.136 * * [simplify]: iters left: 1 (9 enodes) 32.139 * * [simplify]: Extracting #0: cost 1 inf + 0 32.139 * * [simplify]: Extracting #1: cost 0 inf + 1 32.139 * [simplify]: Simplified to -1 32.139 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1))) 32.139 * * * * [progress]: [ 48 / 197 ] simplifiying candidate # 32.139 * [simplify]: Simplifying (- (/ 1 2)) 32.139 * * [simplify]: iters left: 4 (4 enodes) 32.144 * * [simplify]: iters left: 3 (19 enodes) 32.150 * * [simplify]: iters left: 2 (23 enodes) 32.156 * * [simplify]: Extracting #0: cost 1 inf + 0 32.156 * * [simplify]: Extracting #1: cost 0 inf + 1 32.156 * [simplify]: Simplified to -1/2 32.156 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 32.156 * * * * [progress]: [ 49 / 197 ] simplifiying candidate # 32.157 * * * * [progress]: [ 50 / 197 ] simplifiying candidate # 32.157 * * * * [progress]: [ 51 / 197 ] simplifiying candidate # 32.157 * [simplify]: Simplifying (- 0 (log (sqrt k))) 32.157 * * [simplify]: iters left: 4 (5 enodes) 32.160 * * [simplify]: iters left: 3 (17 enodes) 32.165 * * [simplify]: iters left: 2 (21 enodes) 32.172 * * [simplify]: iters left: 1 (23 enodes) 32.178 * * [simplify]: Extracting #0: cost 1 inf + 0 32.178 * * [simplify]: Extracting #1: cost 4 inf + 0 32.178 * * [simplify]: Extracting #2: cost 5 inf + 1 32.178 * * [simplify]: Extracting #3: cost 7 inf + 1 32.179 * * [simplify]: Extracting #4: cost 0 inf + 608 32.179 * [simplify]: Simplified to (- (log (sqrt k))) 32.179 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 32.179 * * * * [progress]: [ 52 / 197 ] simplifiying candidate # 32.179 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 32.179 * * [simplify]: iters left: 4 (6 enodes) 32.183 * * [simplify]: iters left: 3 (22 enodes) 32.189 * * [simplify]: Extracting #0: cost 1 inf + 0 32.189 * * [simplify]: Extracting #1: cost 4 inf + 0 32.189 * * [simplify]: Extracting #2: cost 5 inf + 1 32.190 * * [simplify]: Extracting #3: cost 7 inf + 1 32.190 * * [simplify]: Extracting #4: cost 6 inf + 2 32.190 * * [simplify]: Extracting #5: cost 1 inf + 457 32.190 * * [simplify]: Extracting #6: cost 0 inf + 608 32.190 * [simplify]: Simplified to (- (log (sqrt k))) 32.190 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 32.190 * * * * [progress]: [ 53 / 197 ] simplifiying candidate # 32.190 * * * * [progress]: [ 54 / 197 ] simplifiying candidate # 32.190 * * * * [progress]: [ 55 / 197 ] simplifiying candidate # 32.191 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 32.191 * * [simplify]: iters left: 6 (8 enodes) 32.195 * * [simplify]: iters left: 5 (26 enodes) 32.204 * * [simplify]: iters left: 4 (43 enodes) 32.217 * * [simplify]: iters left: 3 (59 enodes) 32.234 * * [simplify]: iters left: 2 (67 enodes) 32.252 * * [simplify]: iters left: 1 (69 enodes) 32.272 * * [simplify]: Extracting #0: cost 1 inf + 0 32.272 * * [simplify]: Extracting #1: cost 14 inf + 0 32.272 * * [simplify]: Extracting #2: cost 18 inf + 2 32.273 * * [simplify]: Extracting #3: cost 7 inf + 701 32.273 * * [simplify]: Extracting #4: cost 0 inf + 1234 32.274 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 32.274 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ (/ 1 k) (sqrt k))))) 32.274 * * * * [progress]: [ 56 / 197 ] simplifiying candidate # 32.274 * * * * [progress]: [ 57 / 197 ] simplifiying candidate # 32.274 * * * * [progress]: [ 58 / 197 ] simplifiying candidate # 32.274 * * * * [progress]: [ 59 / 197 ] simplifiying candidate # 32.274 * * * * [progress]: [ 60 / 197 ] simplifiying candidate # 32.275 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.275 * * [simplify]: iters left: 6 (8 enodes) 32.280 * * [simplify]: iters left: 5 (32 enodes) 32.290 * * [simplify]: iters left: 4 (48 enodes) 32.299 * * [simplify]: iters left: 3 (76 enodes) 32.311 * * [simplify]: iters left: 2 (81 enodes) 32.317 * * [simplify]: Extracting #0: cost 1 inf + 0 32.317 * * [simplify]: Extracting #1: cost 6 inf + 0 32.317 * * [simplify]: Extracting #2: cost 9 inf + 1 32.317 * * [simplify]: Extracting #3: cost 11 inf + 1 32.317 * * [simplify]: Extracting #4: cost 2 inf + 1052 32.317 * * [simplify]: Extracting #5: cost 0 inf + 1376 32.318 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.318 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))))) 32.318 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 32.318 * * [simplify]: iters left: 4 (6 enodes) 32.320 * * [simplify]: iters left: 3 (20 enodes) 32.323 * * [simplify]: iters left: 2 (22 enodes) 32.326 * * [simplify]: Extracting #0: cost 1 inf + 0 32.326 * * [simplify]: Extracting #1: cost 4 inf + 0 32.326 * * [simplify]: Extracting #2: cost 5 inf + 1 32.326 * * [simplify]: Extracting #3: cost 7 inf + 1 32.327 * * [simplify]: Extracting #4: cost 1 inf + 488 32.327 * * [simplify]: Extracting #5: cost 0 inf + 650 32.327 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 32.327 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 32.327 * * * * [progress]: [ 61 / 197 ] simplifiying candidate # 32.327 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 32.327 * * [simplify]: iters left: 6 (8 enodes) 32.330 * * [simplify]: iters left: 5 (29 enodes) 32.339 * * [simplify]: iters left: 4 (31 enodes) 32.347 * * [simplify]: Extracting #0: cost 1 inf + 0 32.347 * * [simplify]: Extracting #1: cost 4 inf + 0 32.348 * * [simplify]: Extracting #2: cost 6 inf + 1 32.348 * * [simplify]: Extracting #3: cost 9 inf + 1 32.348 * * [simplify]: Extracting #4: cost 8 inf + 2 32.348 * * [simplify]: Extracting #5: cost 2 inf + 729 32.348 * * [simplify]: Extracting #6: cost 0 inf + 972 32.348 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 32.348 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))))) 32.349 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 32.349 * * [simplify]: iters left: 4 (6 enodes) 32.353 * * [simplify]: iters left: 3 (20 enodes) 32.358 * * [simplify]: iters left: 2 (22 enodes) 32.365 * * [simplify]: Extracting #0: cost 1 inf + 0 32.365 * * [simplify]: Extracting #1: cost 4 inf + 0 32.365 * * [simplify]: Extracting #2: cost 5 inf + 1 32.365 * * [simplify]: Extracting #3: cost 7 inf + 1 32.365 * * [simplify]: Extracting #4: cost 1 inf + 568 32.365 * * [simplify]: Extracting #5: cost 0 inf + 730 32.366 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 32.366 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 32.366 * * * * [progress]: [ 62 / 197 ] simplifiying candidate # 32.366 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 32.366 * * [simplify]: iters left: 5 (7 enodes) 32.371 * * [simplify]: iters left: 4 (25 enodes) 32.382 * * [simplify]: iters left: 3 (27 enodes) 32.388 * * [simplify]: Extracting #0: cost 1 inf + 0 32.388 * * [simplify]: Extracting #1: cost 4 inf + 0 32.389 * * [simplify]: Extracting #2: cost 5 inf + 1 32.389 * * [simplify]: Extracting #3: cost 7 inf + 1 32.389 * * [simplify]: Extracting #4: cost 6 inf + 2 32.389 * * [simplify]: Extracting #5: cost 2 inf + 368 32.389 * * [simplify]: Extracting #6: cost 0 inf + 490 32.389 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.389 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 32.389 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 32.389 * * [simplify]: iters left: 4 (6 enodes) 32.391 * * [simplify]: iters left: 3 (20 enodes) 32.395 * * [simplify]: iters left: 2 (22 enodes) 32.398 * * [simplify]: Extracting #0: cost 1 inf + 0 32.398 * * [simplify]: Extracting #1: cost 4 inf + 0 32.398 * * [simplify]: Extracting #2: cost 5 inf + 1 32.398 * * [simplify]: Extracting #3: cost 7 inf + 1 32.398 * * [simplify]: Extracting #4: cost 1 inf + 368 32.398 * * [simplify]: Extracting #5: cost 0 inf + 490 32.398 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.398 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.398 * * * * [progress]: [ 63 / 197 ] simplifiying candidate # 32.399 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 32.399 * * [simplify]: iters left: 5 (5 enodes) 32.404 * * [simplify]: iters left: 4 (19 enodes) 32.407 * * [simplify]: iters left: 3 (21 enodes) 32.410 * * [simplify]: Extracting #0: cost 1 inf + 0 32.410 * * [simplify]: Extracting #1: cost 0 inf + 1 32.410 * [simplify]: Simplified to 1 32.410 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 32.410 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 32.410 * * [simplify]: iters left: 3 (5 enodes) 32.412 * * [simplify]: iters left: 2 (17 enodes) 32.415 * * [simplify]: iters left: 1 (19 enodes) 32.418 * * [simplify]: Extracting #0: cost 1 inf + 0 32.418 * * [simplify]: Extracting #1: cost 4 inf + 0 32.418 * * [simplify]: Extracting #2: cost 5 inf + 1 32.418 * * [simplify]: Extracting #3: cost 0 inf + 248 32.418 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.418 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.418 * * * * [progress]: [ 64 / 197 ] simplifiying candidate # 32.419 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 32.419 * * [simplify]: iters left: 5 (7 enodes) 32.423 * * [simplify]: iters left: 4 (25 enodes) 32.432 * * [simplify]: iters left: 3 (27 enodes) 32.440 * * [simplify]: Extracting #0: cost 1 inf + 0 32.440 * * [simplify]: Extracting #1: cost 4 inf + 0 32.440 * * [simplify]: Extracting #2: cost 5 inf + 1 32.440 * * [simplify]: Extracting #3: cost 7 inf + 1 32.440 * * [simplify]: Extracting #4: cost 6 inf + 2 32.440 * * [simplify]: Extracting #5: cost 2 inf + 368 32.440 * * [simplify]: Extracting #6: cost 0 inf + 490 32.440 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.440 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 32.441 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 32.441 * * [simplify]: iters left: 4 (6 enodes) 32.445 * * [simplify]: iters left: 3 (20 enodes) 32.451 * * [simplify]: iters left: 2 (22 enodes) 32.457 * * [simplify]: Extracting #0: cost 1 inf + 0 32.457 * * [simplify]: Extracting #1: cost 4 inf + 0 32.457 * * [simplify]: Extracting #2: cost 5 inf + 1 32.457 * * [simplify]: Extracting #3: cost 7 inf + 1 32.457 * * [simplify]: Extracting #4: cost 1 inf + 368 32.457 * * [simplify]: Extracting #5: cost 0 inf + 490 32.458 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.458 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.458 * * * * [progress]: [ 65 / 197 ] simplifiying candidate # 32.458 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 32.458 * * [simplify]: iters left: 5 (4 enodes) 32.464 * * [simplify]: iters left: 4 (14 enodes) 32.466 * * [simplify]: iters left: 3 (16 enodes) 32.468 * * [simplify]: Extracting #0: cost 1 inf + 0 32.468 * * [simplify]: Extracting #1: cost 0 inf + 1 32.468 * [simplify]: Simplified to 1 32.468 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 32.468 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 32.468 * * [simplify]: iters left: 3 (5 enodes) 32.471 * * [simplify]: iters left: 2 (17 enodes) 32.474 * * [simplify]: iters left: 1 (19 enodes) 32.477 * * [simplify]: Extracting #0: cost 1 inf + 0 32.477 * * [simplify]: Extracting #1: cost 4 inf + 0 32.477 * * [simplify]: Extracting #2: cost 5 inf + 1 32.477 * * [simplify]: Extracting #3: cost 0 inf + 248 32.477 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.477 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.477 * * * * [progress]: [ 66 / 197 ] simplifiying candidate # 32.477 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.477 * * [simplify]: iters left: 6 (7 enodes) 32.480 * * [simplify]: iters left: 5 (25 enodes) 32.484 * * [simplify]: iters left: 4 (32 enodes) 32.489 * * [simplify]: iters left: 3 (34 enodes) 32.496 * * [simplify]: Extracting #0: cost 1 inf + 0 32.496 * * [simplify]: Extracting #1: cost 7 inf + 0 32.496 * * [simplify]: Extracting #2: cost 11 inf + 1 32.496 * * [simplify]: Extracting #3: cost 13 inf + 1 32.496 * * [simplify]: Extracting #4: cost 10 inf + 84 32.496 * * [simplify]: Extracting #5: cost 4 inf + 1014 32.496 * * [simplify]: Extracting #6: cost 1 inf + 1498 32.496 * * [simplify]: Extracting #7: cost 0 inf + 1700 32.497 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 32.497 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))))) 32.497 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 32.497 * * [simplify]: iters left: 4 (6 enodes) 32.499 * * [simplify]: iters left: 3 (20 enodes) 32.502 * * [simplify]: iters left: 2 (22 enodes) 32.505 * * [simplify]: Extracting #0: cost 1 inf + 0 32.505 * * [simplify]: Extracting #1: cost 4 inf + 0 32.505 * * [simplify]: Extracting #2: cost 5 inf + 1 32.506 * * [simplify]: Extracting #3: cost 7 inf + 1 32.506 * * [simplify]: Extracting #4: cost 1 inf + 488 32.506 * * [simplify]: Extracting #5: cost 0 inf + 650 32.506 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 32.506 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 32.506 * * * * [progress]: [ 67 / 197 ] simplifiying candidate # 32.506 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 32.506 * * [simplify]: iters left: 6 (7 enodes) 32.509 * * [simplify]: iters left: 5 (24 enodes) 32.512 * * [simplify]: iters left: 4 (26 enodes) 32.517 * * [simplify]: Extracting #0: cost 1 inf + 0 32.517 * * [simplify]: Extracting #1: cost 4 inf + 0 32.517 * * [simplify]: Extracting #2: cost 6 inf + 1 32.517 * * [simplify]: Extracting #3: cost 9 inf + 1 32.517 * * [simplify]: Extracting #4: cost 8 inf + 2 32.517 * * [simplify]: Extracting #5: cost 2 inf + 730 32.518 * * [simplify]: Extracting #6: cost 0 inf + 972 32.518 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 32.518 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))))) 32.518 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 32.518 * * [simplify]: iters left: 4 (6 enodes) 32.522 * * [simplify]: iters left: 3 (20 enodes) 32.528 * * [simplify]: iters left: 2 (22 enodes) 32.534 * * [simplify]: Extracting #0: cost 1 inf + 0 32.534 * * [simplify]: Extracting #1: cost 4 inf + 0 32.534 * * [simplify]: Extracting #2: cost 5 inf + 1 32.534 * * [simplify]: Extracting #3: cost 7 inf + 1 32.534 * * [simplify]: Extracting #4: cost 1 inf + 568 32.534 * * [simplify]: Extracting #5: cost 0 inf + 730 32.535 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 32.535 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 32.535 * * * * [progress]: [ 68 / 197 ] simplifiying candidate # 32.535 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.535 * * [simplify]: iters left: 4 (6 enodes) 32.539 * * [simplify]: iters left: 3 (20 enodes) 32.545 * * [simplify]: iters left: 2 (22 enodes) 32.552 * * [simplify]: Extracting #0: cost 1 inf + 0 32.552 * * [simplify]: Extracting #1: cost 4 inf + 0 32.552 * * [simplify]: Extracting #2: cost 5 inf + 1 32.552 * * [simplify]: Extracting #3: cost 7 inf + 1 32.552 * * [simplify]: Extracting #4: cost 1 inf + 368 32.552 * * [simplify]: Extracting #5: cost 0 inf + 490 32.552 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.552 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 32.553 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.553 * * [simplify]: iters left: 4 (6 enodes) 32.557 * * [simplify]: iters left: 3 (20 enodes) 32.563 * * [simplify]: iters left: 2 (22 enodes) 32.569 * * [simplify]: Extracting #0: cost 1 inf + 0 32.569 * * [simplify]: Extracting #1: cost 4 inf + 0 32.570 * * [simplify]: Extracting #2: cost 5 inf + 1 32.570 * * [simplify]: Extracting #3: cost 7 inf + 1 32.570 * * [simplify]: Extracting #4: cost 1 inf + 368 32.570 * * [simplify]: Extracting #5: cost 0 inf + 490 32.570 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.570 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.570 * * * * [progress]: [ 69 / 197 ] simplifiying candidate # 32.571 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 32.571 * * [simplify]: iters left: 3 (3 enodes) 32.574 * * [simplify]: iters left: 2 (9 enodes) 32.577 * * [simplify]: iters left: 1 (11 enodes) 32.579 * * [simplify]: Extracting #0: cost 1 inf + 0 32.580 * * [simplify]: Extracting #1: cost 0 inf + 1 32.580 * [simplify]: Simplified to 1 32.580 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 32.580 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 32.580 * * [simplify]: iters left: 3 (5 enodes) 32.584 * * [simplify]: iters left: 2 (17 enodes) 32.589 * * [simplify]: iters left: 1 (19 enodes) 32.595 * * [simplify]: Extracting #0: cost 1 inf + 0 32.595 * * [simplify]: Extracting #1: cost 4 inf + 0 32.595 * * [simplify]: Extracting #2: cost 5 inf + 1 32.595 * * [simplify]: Extracting #3: cost 0 inf + 248 32.595 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.595 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.595 * * * * [progress]: [ 70 / 197 ] simplifiying candidate # 32.596 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.596 * * [simplify]: iters left: 4 (6 enodes) 32.600 * * [simplify]: iters left: 3 (20 enodes) 32.606 * * [simplify]: iters left: 2 (22 enodes) 32.613 * * [simplify]: Extracting #0: cost 1 inf + 0 32.613 * * [simplify]: Extracting #1: cost 4 inf + 0 32.613 * * [simplify]: Extracting #2: cost 5 inf + 1 32.613 * * [simplify]: Extracting #3: cost 7 inf + 1 32.613 * * [simplify]: Extracting #4: cost 1 inf + 368 32.613 * * [simplify]: Extracting #5: cost 0 inf + 490 32.613 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.613 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 32.614 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.614 * * [simplify]: iters left: 4 (6 enodes) 32.618 * * [simplify]: iters left: 3 (20 enodes) 32.624 * * [simplify]: iters left: 2 (22 enodes) 32.630 * * [simplify]: Extracting #0: cost 1 inf + 0 32.630 * * [simplify]: Extracting #1: cost 4 inf + 0 32.630 * * [simplify]: Extracting #2: cost 5 inf + 1 32.630 * * [simplify]: Extracting #3: cost 7 inf + 1 32.630 * * [simplify]: Extracting #4: cost 1 inf + 368 32.631 * * [simplify]: Extracting #5: cost 0 inf + 490 32.631 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.631 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.631 * * * * [progress]: [ 71 / 197 ] simplifiying candidate # 32.631 * [simplify]: Simplifying (/ (sqrt 1) 1) 32.631 * * [simplify]: iters left: 3 (3 enodes) 32.637 * * [simplify]: iters left: 2 (9 enodes) 32.640 * * [simplify]: iters left: 1 (11 enodes) 32.643 * * [simplify]: Extracting #0: cost 1 inf + 0 32.644 * * [simplify]: Extracting #1: cost 0 inf + 1 32.644 * [simplify]: Simplified to 1 32.644 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 32.644 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 32.644 * * [simplify]: iters left: 3 (5 enodes) 32.649 * * [simplify]: iters left: 2 (17 enodes) 32.655 * * [simplify]: iters left: 1 (19 enodes) 32.660 * * [simplify]: Extracting #0: cost 1 inf + 0 32.660 * * [simplify]: Extracting #1: cost 4 inf + 0 32.660 * * [simplify]: Extracting #2: cost 5 inf + 1 32.660 * * [simplify]: Extracting #3: cost 0 inf + 248 32.661 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.661 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.661 * * * * [progress]: [ 72 / 197 ] simplifiying candidate # 32.661 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.661 * * [simplify]: iters left: 6 (6 enodes) 32.665 * * [simplify]: iters left: 5 (22 enodes) 32.672 * * [simplify]: iters left: 4 (26 enodes) 32.677 * * [simplify]: Extracting #0: cost 1 inf + 0 32.677 * * [simplify]: Extracting #1: cost 6 inf + 0 32.677 * * [simplify]: Extracting #2: cost 9 inf + 1 32.677 * * [simplify]: Extracting #3: cost 11 inf + 1 32.677 * * [simplify]: Extracting #4: cost 8 inf + 84 32.677 * * [simplify]: Extracting #5: cost 2 inf + 1013 32.678 * * [simplify]: Extracting #6: cost 0 inf + 1376 32.678 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.678 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 32.678 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 32.678 * * [simplify]: iters left: 4 (5 enodes) 32.679 * * [simplify]: iters left: 3 (17 enodes) 32.682 * * [simplify]: iters left: 2 (19 enodes) 32.685 * * [simplify]: Extracting #0: cost 1 inf + 0 32.685 * * [simplify]: Extracting #1: cost 4 inf + 0 32.685 * * [simplify]: Extracting #2: cost 5 inf + 1 32.685 * * [simplify]: Extracting #3: cost 7 inf + 1 32.685 * * [simplify]: Extracting #4: cost 0 inf + 650 32.685 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 32.685 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 32.685 * * * * [progress]: [ 73 / 197 ] simplifiying candidate # 32.686 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 32.686 * * [simplify]: iters left: 6 (6 enodes) 32.687 * * [simplify]: iters left: 5 (21 enodes) 32.690 * * [simplify]: iters left: 4 (23 enodes) 32.694 * * [simplify]: Extracting #0: cost 1 inf + 0 32.694 * * [simplify]: Extracting #1: cost 4 inf + 0 32.694 * * [simplify]: Extracting #2: cost 6 inf + 1 32.694 * * [simplify]: Extracting #3: cost 9 inf + 1 32.694 * * [simplify]: Extracting #4: cost 8 inf + 2 32.694 * * [simplify]: Extracting #5: cost 1 inf + 810 32.694 * * [simplify]: Extracting #6: cost 0 inf + 972 32.695 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 32.695 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 32.695 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 32.695 * * [simplify]: iters left: 4 (5 enodes) 32.696 * * [simplify]: iters left: 3 (17 enodes) 32.699 * * [simplify]: iters left: 2 (19 enodes) 32.702 * * [simplify]: Extracting #0: cost 1 inf + 0 32.703 * * [simplify]: Extracting #1: cost 4 inf + 0 32.703 * * [simplify]: Extracting #2: cost 5 inf + 1 32.703 * * [simplify]: Extracting #3: cost 7 inf + 1 32.703 * * [simplify]: Extracting #4: cost 0 inf + 730 32.703 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 32.703 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 32.703 * * * * [progress]: [ 74 / 197 ] simplifiying candidate # 32.703 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.703 * * [simplify]: iters left: 4 (5 enodes) 32.705 * * [simplify]: iters left: 3 (17 enodes) 32.707 * * [simplify]: iters left: 2 (19 enodes) 32.710 * * [simplify]: Extracting #0: cost 1 inf + 0 32.710 * * [simplify]: Extracting #1: cost 4 inf + 0 32.710 * * [simplify]: Extracting #2: cost 5 inf + 1 32.710 * * [simplify]: Extracting #3: cost 7 inf + 1 32.710 * * [simplify]: Extracting #4: cost 0 inf + 490 32.711 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.711 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.711 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.711 * * [simplify]: iters left: 4 (5 enodes) 32.712 * * [simplify]: iters left: 3 (17 enodes) 32.715 * * [simplify]: iters left: 2 (19 enodes) 32.718 * * [simplify]: Extracting #0: cost 1 inf + 0 32.718 * * [simplify]: Extracting #1: cost 4 inf + 0 32.718 * * [simplify]: Extracting #2: cost 5 inf + 1 32.718 * * [simplify]: Extracting #3: cost 7 inf + 1 32.718 * * [simplify]: Extracting #4: cost 0 inf + 490 32.718 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.718 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.719 * * * * [progress]: [ 75 / 197 ] simplifiying candidate # 32.719 * [simplify]: Simplifying (/ 1 (sqrt 1)) 32.719 * * [simplify]: iters left: 3 (3 enodes) 32.722 * * [simplify]: iters left: 2 (11 enodes) 32.725 * * [simplify]: iters left: 1 (13 enodes) 32.729 * * [simplify]: Extracting #0: cost 1 inf + 0 32.729 * * [simplify]: Extracting #1: cost 0 inf + 1 32.729 * [simplify]: Simplified to 1 32.729 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.729 * [simplify]: Simplifying (/ 1 (sqrt k)) 32.729 * * [simplify]: iters left: 3 (4 enodes) 32.731 * * [simplify]: iters left: 2 (14 enodes) 32.736 * * [simplify]: iters left: 1 (16 enodes) 32.739 * * [simplify]: Extracting #0: cost 1 inf + 0 32.739 * * [simplify]: Extracting #1: cost 4 inf + 0 32.740 * * [simplify]: Extracting #2: cost 5 inf + 1 32.740 * * [simplify]: Extracting #3: cost 3 inf + 43 32.740 * * [simplify]: Extracting #4: cost 1 inf + 166 32.740 * * [simplify]: Extracting #5: cost 0 inf + 248 32.740 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.740 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.740 * * * * [progress]: [ 76 / 197 ] simplifiying candidate # 32.740 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.740 * * [simplify]: iters left: 4 (5 enodes) 32.741 * * [simplify]: iters left: 3 (17 enodes) 32.744 * * [simplify]: iters left: 2 (19 enodes) 32.749 * * [simplify]: Extracting #0: cost 1 inf + 0 32.749 * * [simplify]: Extracting #1: cost 4 inf + 0 32.749 * * [simplify]: Extracting #2: cost 5 inf + 1 32.749 * * [simplify]: Extracting #3: cost 7 inf + 1 32.749 * * [simplify]: Extracting #4: cost 0 inf + 490 32.749 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.749 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.749 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.749 * * [simplify]: iters left: 4 (5 enodes) 32.751 * * [simplify]: iters left: 3 (17 enodes) 32.754 * * [simplify]: iters left: 2 (19 enodes) 32.757 * * [simplify]: Extracting #0: cost 1 inf + 0 32.757 * * [simplify]: Extracting #1: cost 4 inf + 0 32.757 * * [simplify]: Extracting #2: cost 5 inf + 1 32.757 * * [simplify]: Extracting #3: cost 7 inf + 1 32.757 * * [simplify]: Extracting #4: cost 0 inf + 490 32.757 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.757 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.757 * * * * [progress]: [ 77 / 197 ] simplifiying candidate # 32.757 * [simplify]: Simplifying (/ 1 1) 32.757 * * [simplify]: iters left: 2 (2 enodes) 32.758 * * [simplify]: iters left: 1 (6 enodes) 32.759 * * [simplify]: Extracting #0: cost 1 inf + 0 32.759 * * [simplify]: Extracting #1: cost 0 inf + 1 32.759 * [simplify]: Simplified to 1 32.759 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.759 * [simplify]: Simplifying (/ 1 (sqrt k)) 32.759 * * [simplify]: iters left: 3 (4 enodes) 32.761 * * [simplify]: iters left: 2 (14 enodes) 32.763 * * [simplify]: iters left: 1 (16 enodes) 32.766 * * [simplify]: Extracting #0: cost 1 inf + 0 32.766 * * [simplify]: Extracting #1: cost 4 inf + 0 32.766 * * [simplify]: Extracting #2: cost 5 inf + 1 32.766 * * [simplify]: Extracting #3: cost 3 inf + 43 32.766 * * [simplify]: Extracting #4: cost 1 inf + 166 32.766 * * [simplify]: Extracting #5: cost 0 inf + 248 32.766 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.766 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.766 * * * * [progress]: [ 78 / 197 ] simplifiying candidate # 32.766 * * * * [progress]: [ 79 / 197 ] simplifiying candidate # 32.766 * * * * [progress]: [ 80 / 197 ] simplifiying candidate # 32.766 * * * * [progress]: [ 81 / 197 ] simplifiying candidate # 32.767 * [simplify]: Simplifying (cbrt (sqrt k)) 32.767 * * [simplify]: iters left: 2 (3 enodes) 32.767 * * [simplify]: iters left: 1 (9 enodes) 32.769 * * [simplify]: Extracting #0: cost 1 inf + 0 32.769 * * [simplify]: Extracting #1: cost 3 inf + 0 32.769 * * [simplify]: Extracting #2: cost 5 inf + 0 32.769 * * [simplify]: Extracting #3: cost 4 inf + 1 32.769 * * [simplify]: Extracting #4: cost 0 inf + 325 32.769 * [simplify]: Simplified to (cbrt (sqrt k)) 32.769 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 32.769 * * * * [progress]: [ 82 / 197 ] simplifiying candidate # 32.769 * [simplify]: Simplifying (sqrt (cbrt k)) 32.769 * * [simplify]: iters left: 2 (3 enodes) 32.770 * * [simplify]: iters left: 1 (9 enodes) 32.772 * * [simplify]: Extracting #0: cost 1 inf + 0 32.772 * * [simplify]: Extracting #1: cost 3 inf + 0 32.772 * * [simplify]: Extracting #2: cost 5 inf + 0 32.772 * * [simplify]: Extracting #3: cost 4 inf + 1 32.772 * * [simplify]: Extracting #4: cost 0 inf + 405 32.772 * [simplify]: Simplified to (sqrt (cbrt k)) 32.772 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))) 32.772 * * * * [progress]: [ 83 / 197 ] simplifiying candidate # 32.773 * [simplify]: Simplifying (sqrt (sqrt k)) 32.773 * * [simplify]: iters left: 2 (3 enodes) 32.774 * * [simplify]: iters left: 1 (9 enodes) 32.776 * * [simplify]: Extracting #0: cost 1 inf + 0 32.776 * * [simplify]: Extracting #1: cost 3 inf + 0 32.776 * * [simplify]: Extracting #2: cost 5 inf + 0 32.777 * * [simplify]: Extracting #3: cost 4 inf + 1 32.777 * * [simplify]: Extracting #4: cost 0 inf + 245 32.777 * [simplify]: Simplified to (sqrt (sqrt k)) 32.777 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 32.777 * * * * [progress]: [ 84 / 197 ] simplifiying candidate # 32.777 * [simplify]: Simplifying (sqrt k) 32.777 * * [simplify]: iters left: 1 (2 enodes) 32.778 * * [simplify]: Extracting #0: cost 1 inf + 0 32.778 * * [simplify]: Extracting #1: cost 3 inf + 0 32.778 * * [simplify]: Extracting #2: cost 2 inf + 1 32.778 * * [simplify]: Extracting #3: cost 0 inf + 83 32.778 * [simplify]: Simplified to (sqrt k) 32.778 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt 1)) (sqrt k)))) 32.778 * * * * [progress]: [ 85 / 197 ] simplifiying candidate # 32.779 * [simplify]: Simplifying (sqrt (sqrt k)) 32.779 * * [simplify]: iters left: 2 (3 enodes) 32.780 * * [simplify]: iters left: 1 (9 enodes) 32.782 * * [simplify]: Extracting #0: cost 1 inf + 0 32.782 * * [simplify]: Extracting #1: cost 3 inf + 0 32.782 * * [simplify]: Extracting #2: cost 5 inf + 0 32.782 * * [simplify]: Extracting #3: cost 4 inf + 1 32.782 * * [simplify]: Extracting #4: cost 0 inf + 245 32.782 * [simplify]: Simplified to (sqrt (sqrt k)) 32.782 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 32.782 * * * * [progress]: [ 86 / 197 ] simplifiying candidate # 32.783 * [simplify]: Simplifying (sqrt k) 32.783 * * [simplify]: iters left: 1 (2 enodes) 32.783 * * [simplify]: Extracting #0: cost 1 inf + 0 32.783 * * [simplify]: Extracting #1: cost 3 inf + 0 32.783 * * [simplify]: Extracting #2: cost 2 inf + 1 32.783 * * [simplify]: Extracting #3: cost 0 inf + 83 32.783 * [simplify]: Simplified to (sqrt k) 32.783 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 1) (sqrt k)))) 32.783 * * * * [progress]: [ 87 / 197 ] simplifiying candidate # 32.783 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 32.784 * * [simplify]: iters left: 3 (3 enodes) 32.787 * * [simplify]: iters left: 2 (11 enodes) 32.789 * * [simplify]: iters left: 1 (13 enodes) 32.790 * * [simplify]: Extracting #0: cost 1 inf + 0 32.791 * * [simplify]: Extracting #1: cost 0 inf + 1 32.791 * [simplify]: Simplified to 1 32.791 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (cbrt 1))))) 32.791 * * * * [progress]: [ 88 / 197 ] simplifiying candidate # 32.791 * [simplify]: Simplifying (sqrt 1) 32.791 * * [simplify]: iters left: 1 (2 enodes) 32.793 * * [simplify]: Extracting #0: cost 1 inf + 0 32.793 * * [simplify]: Extracting #1: cost 0 inf + 1 32.793 * [simplify]: Simplified to 1 32.793 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (sqrt 1))))) 32.793 * * * * [progress]: [ 89 / 197 ] simplifiying candidate # 32.793 * * * * [progress]: [ 90 / 197 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k))))))> 32.793 * * * * [progress]: [ 91 / 197 ] simplifiying candidate # 32.793 * * * * [progress]: [ 92 / 197 ] simplifiying candidate # 32.793 * * * * [progress]: [ 93 / 197 ] simplifiying candidate # 32.793 * * * * [progress]: [ 94 / 197 ] simplifiying candidate # 32.793 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 32.794 * * [simplify]: iters left: 6 (17 enodes) 32.798 * * [simplify]: iters left: 5 (69 enodes) 32.810 * * [simplify]: iters left: 4 (113 enodes) 32.846 * * [simplify]: iters left: 3 (306 enodes) 32.960 * * [simplify]: Extracting #0: cost 1 inf + 0 32.960 * * [simplify]: Extracting #1: cost 34 inf + 0 32.961 * * [simplify]: Extracting #2: cost 91 inf + 0 32.961 * * [simplify]: Extracting #3: cost 140 inf + 147 32.963 * * [simplify]: Extracting #4: cost 120 inf + 7792 32.969 * * [simplify]: Extracting #5: cost 19 inf + 37202 32.978 * * [simplify]: Extracting #6: cost 0 inf + 44869 32.987 * * [simplify]: Extracting #7: cost 0 inf + 44867 33.003 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 33.003 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 33.004 * * * * [progress]: [ 95 / 197 ] simplifiying candidate # 33.004 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 33.004 * * [simplify]: iters left: 6 (18 enodes) 33.020 * * [simplify]: iters left: 5 (74 enodes) 33.046 * * [simplify]: iters left: 4 (131 enodes) 33.081 * * [simplify]: iters left: 3 (343 enodes) 33.244 * * [simplify]: Extracting #0: cost 1 inf + 0 33.244 * * [simplify]: Extracting #1: cost 36 inf + 0 33.245 * * [simplify]: Extracting #2: cost 135 inf + 1 33.246 * * [simplify]: Extracting #3: cost 182 inf + 442 33.251 * * [simplify]: Extracting #4: cost 152 inf + 12475 33.270 * * [simplify]: Extracting #5: cost 17 inf + 54342 33.292 * * [simplify]: Extracting #6: cost 0 inf + 60687 33.305 * * [simplify]: Extracting #7: cost 0 inf + 60680 33.326 * * [simplify]: Extracting #8: cost 0 inf + 60677 33.343 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 33.343 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 33.343 * * * * [progress]: [ 96 / 197 ] simplifiying candidate # 33.344 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 33.344 * * [simplify]: iters left: 6 (18 enodes) 33.350 * * [simplify]: iters left: 5 (75 enodes) 33.363 * * [simplify]: iters left: 4 (121 enodes) 33.407 * * [simplify]: iters left: 3 (324 enodes) 33.565 * * [simplify]: Extracting #0: cost 1 inf + 0 33.565 * * [simplify]: Extracting #1: cost 53 inf + 0 33.566 * * [simplify]: Extracting #2: cost 117 inf + 1 33.567 * * [simplify]: Extracting #3: cost 165 inf + 401 33.571 * * [simplify]: Extracting #4: cost 136 inf + 12136 33.579 * * [simplify]: Extracting #5: cost 31 inf + 46348 33.590 * * [simplify]: Extracting #6: cost 0 inf + 57454 33.604 * * [simplify]: Extracting #7: cost 0 inf + 57352 33.622 * * [simplify]: Extracting #8: cost 0 inf + 57351 33.639 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 33.640 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 33.640 * * * * [progress]: [ 97 / 197 ] simplifiying candidate # 33.640 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 33.640 * * [simplify]: iters left: 6 (17 enodes) 33.646 * * [simplify]: iters left: 5 (72 enodes) 33.658 * * [simplify]: iters left: 4 (119 enodes) 33.691 * * [simplify]: iters left: 3 (314 enodes) 33.848 * * [simplify]: Extracting #0: cost 1 inf + 0 33.848 * * [simplify]: Extracting #1: cost 35 inf + 0 33.848 * * [simplify]: Extracting #2: cost 106 inf + 1 33.849 * * [simplify]: Extracting #3: cost 150 inf + 331 33.851 * * [simplify]: Extracting #4: cost 128 inf + 9031 33.858 * * [simplify]: Extracting #5: cost 15 inf + 44365 33.869 * * [simplify]: Extracting #6: cost 0 inf + 50212 33.884 * * [simplify]: Extracting #7: cost 0 inf + 50196 33.903 * [simplify]: Simplified to (- (/ (- (+ (log 2) (+ (log n) (log PI))) (* k (+ (log 2) (+ (log n) (log PI))))) 2) (log (sqrt k))) 33.903 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log 2) (+ (log n) (log PI))) (* k (+ (log 2) (+ (log n) (log PI))))) 2) (log (sqrt k))))) 33.903 * * * * [progress]: [ 98 / 197 ] simplifiying candidate # 33.903 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 33.903 * * [simplify]: iters left: 6 (16 enodes) 33.912 * * [simplify]: iters left: 5 (67 enodes) 33.935 * * [simplify]: iters left: 4 (106 enodes) 33.958 * * [simplify]: iters left: 3 (247 enodes) 34.053 * * [simplify]: Extracting #0: cost 1 inf + 0 34.053 * * [simplify]: Extracting #1: cost 29 inf + 0 34.054 * * [simplify]: Extracting #2: cost 82 inf + 0 34.054 * * [simplify]: Extracting #3: cost 116 inf + 575 34.056 * * [simplify]: Extracting #4: cost 103 inf + 6299 34.060 * * [simplify]: Extracting #5: cost 33 inf + 25185 34.068 * * [simplify]: Extracting #6: cost 3 inf + 34801 34.087 * * [simplify]: Extracting #7: cost 0 inf + 35420 34.100 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.100 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.101 * * * * [progress]: [ 99 / 197 ] simplifiying candidate # 34.101 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 34.101 * * [simplify]: iters left: 6 (17 enodes) 34.106 * * [simplify]: iters left: 5 (72 enodes) 34.120 * * [simplify]: iters left: 4 (124 enodes) 34.159 * * [simplify]: iters left: 3 (283 enodes) 34.262 * * [simplify]: Extracting #0: cost 1 inf + 0 34.262 * * [simplify]: Extracting #1: cost 31 inf + 0 34.262 * * [simplify]: Extracting #2: cost 118 inf + 1 34.263 * * [simplify]: Extracting #3: cost 160 inf + 261 34.265 * * [simplify]: Extracting #4: cost 133 inf + 9328 34.271 * * [simplify]: Extracting #5: cost 43 inf + 34393 34.286 * * [simplify]: Extracting #6: cost 9 inf + 45459 34.307 * * [simplify]: Extracting #7: cost 0 inf + 48148 34.328 * * [simplify]: Extracting #8: cost 0 inf + 47906 34.350 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.350 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.350 * * * * [progress]: [ 100 / 197 ] simplifiying candidate # 34.350 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 34.350 * * [simplify]: iters left: 6 (17 enodes) 34.361 * * [simplify]: iters left: 5 (73 enodes) 34.381 * * [simplify]: iters left: 4 (114 enodes) 34.409 * * [simplify]: iters left: 3 (265 enodes) 34.566 * * [simplify]: Extracting #0: cost 1 inf + 0 34.566 * * [simplify]: Extracting #1: cost 42 inf + 0 34.567 * * [simplify]: Extracting #2: cost 100 inf + 1 34.568 * * [simplify]: Extracting #3: cost 136 inf + 386 34.571 * * [simplify]: Extracting #4: cost 124 inf + 5458 34.581 * * [simplify]: Extracting #5: cost 38 inf + 29744 34.594 * * [simplify]: Extracting #6: cost 3 inf + 41290 34.603 * * [simplify]: Extracting #7: cost 0 inf + 42504 34.616 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.617 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.617 * * * * [progress]: [ 101 / 197 ] simplifiying candidate # 34.617 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 34.617 * * [simplify]: iters left: 6 (16 enodes) 34.627 * * [simplify]: iters left: 5 (70 enodes) 34.649 * * [simplify]: iters left: 4 (112 enodes) 34.691 * * [simplify]: iters left: 3 (256 enodes) 34.797 * * [simplify]: Extracting #0: cost 1 inf + 0 34.797 * * [simplify]: Extracting #1: cost 31 inf + 0 34.798 * * [simplify]: Extracting #2: cost 94 inf + 1 34.798 * * [simplify]: Extracting #3: cost 133 inf + 314 34.799 * * [simplify]: Extracting #4: cost 118 inf + 5137 34.804 * * [simplify]: Extracting #5: cost 41 inf + 26009 34.813 * * [simplify]: Extracting #6: cost 8 inf + 36688 34.834 * * [simplify]: Extracting #7: cost 1 inf + 39032 34.851 * * [simplify]: Extracting #8: cost 0 inf + 39377 34.865 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.865 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.865 * * * * [progress]: [ 102 / 197 ] simplifiying candidate # 34.865 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 34.865 * * [simplify]: iters left: 6 (15 enodes) 34.870 * * [simplify]: iters left: 5 (66 enodes) 34.882 * * [simplify]: iters left: 4 (113 enodes) 34.903 * * [simplify]: iters left: 3 (229 enodes) 34.987 * * [simplify]: Extracting #0: cost 1 inf + 0 34.987 * * [simplify]: Extracting #1: cost 23 inf + 0 34.987 * * [simplify]: Extracting #2: cost 83 inf + 0 34.988 * * [simplify]: Extracting #3: cost 122 inf + 130 34.990 * * [simplify]: Extracting #4: cost 122 inf + 3176 34.997 * * [simplify]: Extracting #5: cost 40 inf + 21068 35.009 * * [simplify]: Extracting #6: cost 2 inf + 30658 35.022 * * [simplify]: Extracting #7: cost 0 inf + 30886 35.033 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.033 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.033 * * * * [progress]: [ 103 / 197 ] simplifiying candidate # 35.034 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 35.034 * * [simplify]: iters left: 6 (16 enodes) 35.039 * * [simplify]: iters left: 5 (71 enodes) 35.051 * * [simplify]: iters left: 4 (131 enodes) 35.094 * * [simplify]: iters left: 3 (262 enodes) 35.198 * * [simplify]: Extracting #0: cost 1 inf + 0 35.198 * * [simplify]: Extracting #1: cost 27 inf + 0 35.199 * * [simplify]: Extracting #2: cost 112 inf + 1 35.200 * * [simplify]: Extracting #3: cost 151 inf + 302 35.202 * * [simplify]: Extracting #4: cost 142 inf + 5480 35.210 * * [simplify]: Extracting #5: cost 72 inf + 21099 35.223 * * [simplify]: Extracting #6: cost 16 inf + 35543 35.235 * * [simplify]: Extracting #7: cost 0 inf + 40340 35.244 * * [simplify]: Extracting #8: cost 0 inf + 40337 35.257 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.257 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.257 * * * * [progress]: [ 104 / 197 ] simplifiying candidate # 35.258 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 35.258 * * [simplify]: iters left: 6 (16 enodes) 35.268 * * [simplify]: iters left: 5 (72 enodes) 35.292 * * [simplify]: iters left: 4 (121 enodes) 35.321 * * [simplify]: iters left: 3 (247 enodes) 35.388 * * [simplify]: Extracting #0: cost 1 inf + 0 35.388 * * [simplify]: Extracting #1: cost 33 inf + 0 35.389 * * [simplify]: Extracting #2: cost 97 inf + 1 35.389 * * [simplify]: Extracting #3: cost 133 inf + 373 35.391 * * [simplify]: Extracting #4: cost 123 inf + 5352 35.400 * * [simplify]: Extracting #5: cost 38 inf + 24521 35.418 * * [simplify]: Extracting #6: cost 3 inf + 35147 35.425 * * [simplify]: Extracting #7: cost 0 inf + 35848 35.433 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.433 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.434 * * * * [progress]: [ 105 / 197 ] simplifiying candidate # 35.434 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 35.434 * * [simplify]: iters left: 6 (15 enodes) 35.439 * * [simplify]: iters left: 5 (69 enodes) 35.451 * * [simplify]: iters left: 4 (119 enodes) 35.483 * * [simplify]: iters left: 3 (239 enodes) 35.561 * * [simplify]: Extracting #0: cost 1 inf + 0 35.562 * * [simplify]: Extracting #1: cost 25 inf + 0 35.562 * * [simplify]: Extracting #2: cost 94 inf + 1 35.563 * * [simplify]: Extracting #3: cost 132 inf + 273 35.566 * * [simplify]: Extracting #4: cost 115 inf + 6476 35.577 * * [simplify]: Extracting #5: cost 12 inf + 31154 35.591 * * [simplify]: Extracting #6: cost 0 inf + 34674 35.601 * * [simplify]: Extracting #7: cost 0 inf + 34574 35.608 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.608 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.609 * * * * [progress]: [ 106 / 197 ] simplifiying candidate # 35.609 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 35.609 * * [simplify]: iters left: 6 (15 enodes) 35.614 * * [simplify]: iters left: 5 (66 enodes) 35.628 * * [simplify]: iters left: 4 (113 enodes) 35.653 * * [simplify]: iters left: 3 (229 enodes) 35.725 * * [simplify]: Extracting #0: cost 1 inf + 0 35.725 * * [simplify]: Extracting #1: cost 23 inf + 0 35.725 * * [simplify]: Extracting #2: cost 83 inf + 0 35.726 * * [simplify]: Extracting #3: cost 122 inf + 130 35.727 * * [simplify]: Extracting #4: cost 122 inf + 3176 35.730 * * [simplify]: Extracting #5: cost 40 inf + 21068 35.736 * * [simplify]: Extracting #6: cost 2 inf + 30658 35.743 * * [simplify]: Extracting #7: cost 0 inf + 30886 35.749 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.749 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.750 * * * * [progress]: [ 107 / 197 ] simplifiying candidate # 35.750 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 35.750 * * [simplify]: iters left: 6 (16 enodes) 35.760 * * [simplify]: iters left: 5 (71 enodes) 35.777 * * [simplify]: iters left: 4 (131 enodes) 35.813 * * [simplify]: iters left: 3 (262 enodes) 35.911 * * [simplify]: Extracting #0: cost 1 inf + 0 35.912 * * [simplify]: Extracting #1: cost 27 inf + 0 35.912 * * [simplify]: Extracting #2: cost 112 inf + 1 35.912 * * [simplify]: Extracting #3: cost 151 inf + 302 35.914 * * [simplify]: Extracting #4: cost 142 inf + 5480 35.918 * * [simplify]: Extracting #5: cost 72 inf + 21099 35.932 * * [simplify]: Extracting #6: cost 16 inf + 35543 35.942 * * [simplify]: Extracting #7: cost 0 inf + 40340 35.951 * * [simplify]: Extracting #8: cost 0 inf + 40337 35.963 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.963 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.963 * * * * [progress]: [ 108 / 197 ] simplifiying candidate # 35.963 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 35.963 * * [simplify]: iters left: 6 (16 enodes) 35.973 * * [simplify]: iters left: 5 (72 enodes) 35.988 * * [simplify]: iters left: 4 (121 enodes) 36.017 * * [simplify]: iters left: 3 (247 enodes) 36.146 * * [simplify]: Extracting #0: cost 1 inf + 0 36.146 * * [simplify]: Extracting #1: cost 33 inf + 0 36.146 * * [simplify]: Extracting #2: cost 97 inf + 1 36.147 * * [simplify]: Extracting #3: cost 133 inf + 373 36.149 * * [simplify]: Extracting #4: cost 123 inf + 5352 36.158 * * [simplify]: Extracting #5: cost 38 inf + 24521 36.172 * * [simplify]: Extracting #6: cost 3 inf + 35147 36.188 * * [simplify]: Extracting #7: cost 0 inf + 35848 36.207 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 36.207 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 36.207 * * * * [progress]: [ 109 / 197 ] simplifiying candidate # 36.208 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 36.208 * * [simplify]: iters left: 6 (15 enodes) 36.217 * * [simplify]: iters left: 5 (69 enodes) 36.239 * * [simplify]: iters left: 4 (119 enodes) 36.281 * * [simplify]: iters left: 3 (239 enodes) 36.357 * * [simplify]: Extracting #0: cost 1 inf + 0 36.357 * * [simplify]: Extracting #1: cost 25 inf + 0 36.357 * * [simplify]: Extracting #2: cost 94 inf + 1 36.358 * * [simplify]: Extracting #3: cost 132 inf + 273 36.359 * * [simplify]: Extracting #4: cost 115 inf + 6476 36.364 * * [simplify]: Extracting #5: cost 12 inf + 31154 36.374 * * [simplify]: Extracting #6: cost 0 inf + 34674 36.389 * * [simplify]: Extracting #7: cost 0 inf + 34574 36.404 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 36.404 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 36.404 * * * * [progress]: [ 110 / 197 ] simplifiying candidate # 36.405 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log (sqrt k)))) 36.405 * * [simplify]: iters left: 6 (15 enodes) 36.413 * * [simplify]: iters left: 5 (64 enodes) 36.424 * * [simplify]: iters left: 4 (112 enodes) 36.449 * * [simplify]: iters left: 3 (215 enodes) 36.528 * * [simplify]: Extracting #0: cost 1 inf + 0 36.528 * * [simplify]: Extracting #1: cost 24 inf + 0 36.529 * * [simplify]: Extracting #2: cost 109 inf + 0 36.530 * * [simplify]: Extracting #3: cost 173 inf + 4 36.531 * * [simplify]: Extracting #4: cost 159 inf + 2128 36.537 * * [simplify]: Extracting #5: cost 86 inf + 16632 36.549 * * [simplify]: Extracting #6: cost 2 inf + 39628 36.561 * * [simplify]: Extracting #7: cost 0 inf + 39658 36.568 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 36.568 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 36.568 * * * * [progress]: [ 111 / 197 ] simplifiying candidate # 36.568 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 0 (log (sqrt k)))) 36.568 * * [simplify]: iters left: 6 (16 enodes) 36.573 * * [simplify]: iters left: 5 (69 enodes) 36.586 * * [simplify]: iters left: 4 (129 enodes) 36.636 * * [simplify]: iters left: 3 (250 enodes) 36.724 * * [simplify]: Extracting #0: cost 1 inf + 0 36.724 * * [simplify]: Extracting #1: cost 28 inf + 0 36.725 * * [simplify]: Extracting #2: cost 142 inf + 1 36.725 * * [simplify]: Extracting #3: cost 208 inf + 5 36.727 * * [simplify]: Extracting #4: cost 168 inf + 5893 36.735 * * [simplify]: Extracting #5: cost 44 inf + 35824 36.744 * * [simplify]: Extracting #6: cost 2 inf + 50163 36.759 * * [simplify]: Extracting #7: cost 0 inf + 51246 36.777 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))) 36.777 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))))) 36.777 * * * * [progress]: [ 112 / 197 ] simplifiying candidate # 36.778 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log 1) (log (sqrt k)))) 36.778 * * [simplify]: iters left: 6 (16 enodes) 36.788 * * [simplify]: iters left: 5 (70 enodes) 36.812 * * [simplify]: iters left: 4 (119 enodes) 36.847 * * [simplify]: iters left: 3 (239 enodes) 36.941 * * [simplify]: Extracting #0: cost 1 inf + 0 36.942 * * [simplify]: Extracting #1: cost 34 inf + 0 36.942 * * [simplify]: Extracting #2: cost 124 inf + 1 36.943 * * [simplify]: Extracting #3: cost 187 inf + 5 36.946 * * [simplify]: Extracting #4: cost 147 inf + 6512 36.951 * * [simplify]: Extracting #5: cost 34 inf + 32936 36.958 * * [simplify]: Extracting #6: cost 0 inf + 45571 36.969 * * [simplify]: Extracting #7: cost 0 inf + 45374 36.977 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 36.977 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 36.977 * * * * [progress]: [ 113 / 197 ] simplifiying candidate # 36.977 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (/ 1 (sqrt k)))) 36.977 * * [simplify]: iters left: 6 (15 enodes) 36.982 * * [simplify]: iters left: 5 (67 enodes) 36.995 * * [simplify]: iters left: 4 (118 enodes) 37.016 * * [simplify]: iters left: 3 (225 enodes) 37.116 * * [simplify]: Extracting #0: cost 1 inf + 0 37.116 * * [simplify]: Extracting #1: cost 26 inf + 0 37.116 * * [simplify]: Extracting #2: cost 121 inf + 1 37.118 * * [simplify]: Extracting #3: cost 186 inf + 5 37.120 * * [simplify]: Extracting #4: cost 155 inf + 4693 37.128 * * [simplify]: Extracting #5: cost 39 inf + 29468 37.143 * * [simplify]: Extracting #6: cost 3 inf + 42209 37.152 * * [simplify]: Extracting #7: cost 0 inf + 44155 37.160 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 37.160 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 37.160 * * * * [progress]: [ 114 / 197 ] simplifiying candidate # 37.160 * * * * [progress]: [ 115 / 197 ] simplifiying candidate # 37.160 * * * * [progress]: [ 116 / 197 ] simplifiying candidate # 37.160 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 37.160 * * [simplify]: iters left: 6 (19 enodes) 37.168 * * [simplify]: iters left: 5 (80 enodes) 37.186 * * [simplify]: iters left: 4 (188 enodes) 37.281 * * [simplify]: Extracting #0: cost 1 inf + 0 37.282 * * [simplify]: Extracting #1: cost 50 inf + 0 37.282 * * [simplify]: Extracting #2: cost 145 inf + 206 37.284 * * [simplify]: Extracting #3: cost 157 inf + 1393 37.286 * * [simplify]: Extracting #4: cost 146 inf + 2848 37.296 * * [simplify]: Extracting #5: cost 56 inf + 40587 37.316 * * [simplify]: Extracting #6: cost 0 inf + 73945 37.336 * * [simplify]: Extracting #7: cost 0 inf + 73750 37.356 * [simplify]: Simplified to (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k) 37.356 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k))) 37.357 * * * * [progress]: [ 117 / 197 ] simplifiying candidate # 37.357 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) 37.357 * * [simplify]: iters left: 6 (17 enodes) 37.367 * * [simplify]: iters left: 5 (81 enodes) 37.399 * * [simplify]: iters left: 4 (174 enodes) 37.469 * * [simplify]: iters left: 3 (492 enodes) 38.115 * * [simplify]: Extracting #0: cost 1 inf + 0 38.116 * * [simplify]: Extracting #1: cost 79 inf + 0 38.118 * * [simplify]: Extracting #2: cost 422 inf + 45 38.122 * * [simplify]: Extracting #3: cost 467 inf + 1578 38.127 * * [simplify]: Extracting #4: cost 451 inf + 4029 38.151 * * [simplify]: Extracting #5: cost 241 inf + 124146 38.207 * * [simplify]: Extracting #6: cost 11 inf + 301244 38.261 * * [simplify]: Extracting #7: cost 0 inf + 301839 38.348 * * [simplify]: Extracting #8: cost 0 inf + 300567 38.431 * [simplify]: Simplified to (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k)) 38.431 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k)))) 38.431 * * * * [progress]: [ 118 / 197 ] simplifiying candidate # 38.432 * * * * [progress]: [ 119 / 197 ] simplifiying candidate # 38.432 * * * * [progress]: [ 120 / 197 ] simplifiying candidate # 38.432 * * * * [progress]: [ 121 / 197 ] simplifiying candidate # 38.432 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) 1) 38.432 * * [simplify]: iters left: 6 (9 enodes) 38.439 * * [simplify]: iters left: 5 (37 enodes) 38.453 * * [simplify]: iters left: 4 (66 enodes) 38.480 * * [simplify]: iters left: 3 (106 enodes) 38.515 * * [simplify]: iters left: 2 (160 enodes) 38.571 * * [simplify]: iters left: 1 (277 enodes) 38.714 * * [simplify]: Extracting #0: cost 1 inf + 0 38.714 * * [simplify]: Extracting #1: cost 18 inf + 0 38.714 * * [simplify]: Extracting #2: cost 67 inf + 3 38.715 * * [simplify]: Extracting #3: cost 72 inf + 11 38.716 * * [simplify]: Extracting #4: cost 58 inf + 2363 38.723 * * [simplify]: Extracting #5: cost 25 inf + 17516 38.731 * * [simplify]: Extracting #6: cost 1 inf + 34423 38.740 * * [simplify]: Extracting #7: cost 0 inf + 35219 38.746 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 38.746 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)))) 38.746 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)) 38.746 * * [simplify]: iters left: 6 (10 enodes) 38.749 * * [simplify]: iters left: 5 (38 enodes) 38.755 * * [simplify]: iters left: 4 (62 enodes) 38.766 * * [simplify]: iters left: 3 (104 enodes) 38.794 * * [simplify]: iters left: 2 (207 enodes) 38.843 * * [simplify]: iters left: 1 (463 enodes) 39.158 * * [simplify]: Extracting #0: cost 1 inf + 0 39.158 * * [simplify]: Extracting #1: cost 54 inf + 0 39.160 * * [simplify]: Extracting #2: cost 171 inf + 0 39.161 * * [simplify]: Extracting #3: cost 210 inf + 45 39.164 * * [simplify]: Extracting #4: cost 181 inf + 4887 39.169 * * [simplify]: Extracting #5: cost 140 inf + 13636 39.189 * * [simplify]: Extracting #6: cost 43 inf + 93420 39.224 * * [simplify]: Extracting #7: cost 0 inf + 133565 39.261 * * [simplify]: Extracting #8: cost 0 inf + 131993 39.296 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k)) 39.296 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k)))) 39.296 * * * * [progress]: [ 122 / 197 ] simplifiying candidate # 39.296 * * * * [progress]: [ 123 / 197 ] simplifiying candidate # 39.296 * [simplify]: Simplifying (sqrt k) 39.296 * * [simplify]: iters left: 1 (2 enodes) 39.297 * * [simplify]: Extracting #0: cost 1 inf + 0 39.297 * * [simplify]: Extracting #1: cost 3 inf + 0 39.297 * * [simplify]: Extracting #2: cost 2 inf + 1 39.297 * * [simplify]: Extracting #3: cost 0 inf + 83 39.297 * [simplify]: Simplified to (sqrt k) 39.297 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 39.297 * * * * [progress]: [ 124 / 197 ] simplifiying candidate # 39.297 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 39.297 * * [simplify]: iters left: 6 (15 enodes) 39.302 * * [simplify]: iters left: 5 (61 enodes) 39.313 * * [simplify]: iters left: 4 (95 enodes) 39.329 * * [simplify]: iters left: 3 (135 enodes) 39.363 * * [simplify]: iters left: 2 (208 enodes) 39.438 * * [simplify]: iters left: 1 (367 enodes) 39.549 * * [simplify]: Extracting #0: cost 1 inf + 0 39.549 * * [simplify]: Extracting #1: cost 4 inf + 0 39.549 * * [simplify]: Extracting #2: cost 9 inf + 0 39.550 * * [simplify]: Extracting #3: cost 40 inf + 0 39.550 * * [simplify]: Extracting #4: cost 123 inf + 2 39.551 * * [simplify]: Extracting #5: cost 149 inf + 428 39.552 * * [simplify]: Extracting #6: cost 95 inf + 7564 39.559 * * [simplify]: Extracting #7: cost 43 inf + 25541 39.573 * * [simplify]: Extracting #8: cost 5 inf + 57306 39.583 * * [simplify]: Extracting #9: cost 0 inf + 61577 39.592 * * [simplify]: Extracting #10: cost 0 inf + 61496 39.609 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))) 39.609 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))))) 39.610 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 39.610 * * [simplify]: iters left: 6 (15 enodes) 39.618 * * [simplify]: iters left: 5 (61 enodes) 39.631 * * [simplify]: iters left: 4 (95 enodes) 39.647 * * [simplify]: iters left: 3 (135 enodes) 39.672 * * [simplify]: iters left: 2 (208 enodes) 39.720 * * [simplify]: iters left: 1 (367 enodes) 39.878 * * [simplify]: Extracting #0: cost 1 inf + 0 39.878 * * [simplify]: Extracting #1: cost 4 inf + 0 39.878 * * [simplify]: Extracting #2: cost 9 inf + 0 39.878 * * [simplify]: Extracting #3: cost 40 inf + 0 39.879 * * [simplify]: Extracting #4: cost 123 inf + 2 39.880 * * [simplify]: Extracting #5: cost 149 inf + 428 39.883 * * [simplify]: Extracting #6: cost 95 inf + 7564 39.892 * * [simplify]: Extracting #7: cost 43 inf + 25541 39.909 * * [simplify]: Extracting #8: cost 5 inf + 57306 39.928 * * [simplify]: Extracting #9: cost 0 inf + 61577 39.946 * * [simplify]: Extracting #10: cost 0 inf + 61496 39.965 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))) 39.965 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))))) 39.965 * * * * [progress]: [ 125 / 197 ] simplifiying candidate # 39.965 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 39.965 * * [simplify]: iters left: 6 (16 enodes) 39.973 * * [simplify]: iters left: 5 (66 enodes) 39.985 * * [simplify]: iters left: 4 (106 enodes) 40.007 * * [simplify]: iters left: 3 (151 enodes) 40.054 * * [simplify]: iters left: 2 (225 enodes) 40.133 * * [simplify]: iters left: 1 (378 enodes) 40.273 * * [simplify]: Extracting #0: cost 1 inf + 0 40.273 * * [simplify]: Extracting #1: cost 7 inf + 0 40.273 * * [simplify]: Extracting #2: cost 13 inf + 1 40.273 * * [simplify]: Extracting #3: cost 42 inf + 1 40.274 * * [simplify]: Extracting #4: cost 113 inf + 125 40.275 * * [simplify]: Extracting #5: cost 140 inf + 1039 40.278 * * [simplify]: Extracting #6: cost 89 inf + 7670 40.286 * * [simplify]: Extracting #7: cost 37 inf + 28450 40.301 * * [simplify]: Extracting #8: cost 2 inf + 56186 40.321 * * [simplify]: Extracting #9: cost 0 inf + 57532 40.340 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 40.340 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))))) 40.341 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 40.341 * * [simplify]: iters left: 6 (16 enodes) 40.351 * * [simplify]: iters left: 5 (66 enodes) 40.379 * * [simplify]: iters left: 4 (106 enodes) 40.402 * * [simplify]: iters left: 3 (151 enodes) 40.428 * * [simplify]: iters left: 2 (225 enodes) 40.487 * * [simplify]: iters left: 1 (378 enodes) 40.644 * * [simplify]: Extracting #0: cost 1 inf + 0 40.644 * * [simplify]: Extracting #1: cost 7 inf + 0 40.644 * * [simplify]: Extracting #2: cost 13 inf + 1 40.644 * * [simplify]: Extracting #3: cost 42 inf + 1 40.645 * * [simplify]: Extracting #4: cost 113 inf + 125 40.646 * * [simplify]: Extracting #5: cost 140 inf + 1039 40.650 * * [simplify]: Extracting #6: cost 89 inf + 7670 40.659 * * [simplify]: Extracting #7: cost 37 inf + 28450 40.676 * * [simplify]: Extracting #8: cost 2 inf + 56186 40.691 * * [simplify]: Extracting #9: cost 0 inf + 57532 40.701 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 40.701 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 40.701 * * * * [progress]: [ 126 / 197 ] simplifiying candidate # 40.701 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 40.702 * * [simplify]: iters left: 6 (16 enodes) 40.711 * * [simplify]: iters left: 5 (66 enodes) 40.732 * * [simplify]: iters left: 4 (106 enodes) 40.750 * * [simplify]: iters left: 3 (151 enodes) 40.784 * * [simplify]: iters left: 2 (225 enodes) 40.836 * * [simplify]: iters left: 1 (378 enodes) 40.992 * * [simplify]: Extracting #0: cost 1 inf + 0 40.992 * * [simplify]: Extracting #1: cost 7 inf + 0 40.992 * * [simplify]: Extracting #2: cost 13 inf + 1 40.993 * * [simplify]: Extracting #3: cost 42 inf + 1 40.993 * * [simplify]: Extracting #4: cost 113 inf + 125 40.995 * * [simplify]: Extracting #5: cost 140 inf + 1039 40.999 * * [simplify]: Extracting #6: cost 89 inf + 7670 41.009 * * [simplify]: Extracting #7: cost 37 inf + 28450 41.026 * * [simplify]: Extracting #8: cost 2 inf + 56186 41.046 * * [simplify]: Extracting #9: cost 0 inf + 57532 41.069 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 41.069 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))))) 41.070 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 41.070 * * [simplify]: iters left: 6 (16 enodes) 41.080 * * [simplify]: iters left: 5 (66 enodes) 41.102 * * [simplify]: iters left: 4 (106 enodes) 41.127 * * [simplify]: iters left: 3 (151 enodes) 41.152 * * [simplify]: iters left: 2 (225 enodes) 41.204 * * [simplify]: iters left: 1 (378 enodes) 41.351 * * [simplify]: Extracting #0: cost 1 inf + 0 41.352 * * [simplify]: Extracting #1: cost 7 inf + 0 41.352 * * [simplify]: Extracting #2: cost 13 inf + 1 41.352 * * [simplify]: Extracting #3: cost 42 inf + 1 41.353 * * [simplify]: Extracting #4: cost 113 inf + 125 41.354 * * [simplify]: Extracting #5: cost 140 inf + 1039 41.358 * * [simplify]: Extracting #6: cost 89 inf + 7670 41.367 * * [simplify]: Extracting #7: cost 37 inf + 28450 41.390 * * [simplify]: Extracting #8: cost 2 inf + 56186 41.409 * * [simplify]: Extracting #9: cost 0 inf + 57532 41.427 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 41.427 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 41.427 * * * * [progress]: [ 127 / 197 ] simplifiying candidate # 41.428 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 41.428 * * [simplify]: iters left: 6 (15 enodes) 41.432 * * [simplify]: iters left: 5 (63 enodes) 41.443 * * [simplify]: iters left: 4 (101 enodes) 41.461 * * [simplify]: iters left: 3 (147 enodes) 41.506 * * [simplify]: iters left: 2 (218 enodes) 41.555 * * [simplify]: iters left: 1 (379 enodes) 41.677 * * [simplify]: Extracting #0: cost 1 inf + 0 41.678 * * [simplify]: Extracting #1: cost 7 inf + 0 41.678 * * [simplify]: Extracting #2: cost 13 inf + 1 41.678 * * [simplify]: Extracting #3: cost 42 inf + 1 41.678 * * [simplify]: Extracting #4: cost 116 inf + 369 41.679 * * [simplify]: Extracting #5: cost 131 inf + 1622 41.684 * * [simplify]: Extracting #6: cost 72 inf + 13805 41.692 * * [simplify]: Extracting #7: cost 15 inf + 47860 41.702 * * [simplify]: Extracting #8: cost 0 inf + 61860 41.720 * * [simplify]: Extracting #9: cost 0 inf + 60325 41.729 * * [simplify]: Extracting #10: cost 0 inf + 58429 41.740 * * [simplify]: Extracting #11: cost 0 inf + 57511 41.755 * * [simplify]: Extracting #12: cost 0 inf + 57420 41.777 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 41.777 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))))) 41.777 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 41.777 * * [simplify]: iters left: 6 (15 enodes) 41.786 * * [simplify]: iters left: 5 (63 enodes) 41.811 * * [simplify]: iters left: 4 (101 enodes) 41.843 * * [simplify]: iters left: 3 (147 enodes) 41.891 * * [simplify]: iters left: 2 (218 enodes) 41.939 * * [simplify]: iters left: 1 (379 enodes) 42.080 * * [simplify]: Extracting #0: cost 1 inf + 0 42.080 * * [simplify]: Extracting #1: cost 7 inf + 0 42.081 * * [simplify]: Extracting #2: cost 13 inf + 1 42.081 * * [simplify]: Extracting #3: cost 42 inf + 1 42.082 * * [simplify]: Extracting #4: cost 116 inf + 369 42.084 * * [simplify]: Extracting #5: cost 131 inf + 1622 42.089 * * [simplify]: Extracting #6: cost 72 inf + 13805 42.099 * * [simplify]: Extracting #7: cost 15 inf + 47860 42.108 * * [simplify]: Extracting #8: cost 0 inf + 61860 42.122 * * [simplify]: Extracting #9: cost 0 inf + 60325 42.142 * * [simplify]: Extracting #10: cost 0 inf + 58429 42.153 * * [simplify]: Extracting #11: cost 0 inf + 57511 42.163 * * [simplify]: Extracting #12: cost 0 inf + 57420 42.178 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 42.178 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 42.178 * * * * [progress]: [ 128 / 197 ] simplifiying candidate # 42.178 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 42.178 * * [simplify]: iters left: 6 (15 enodes) 42.183 * * [simplify]: iters left: 5 (63 enodes) 42.194 * * [simplify]: iters left: 4 (101 enodes) 42.218 * * [simplify]: iters left: 3 (147 enodes) 42.251 * * [simplify]: iters left: 2 (218 enodes) 42.309 * * [simplify]: iters left: 1 (379 enodes) 42.456 * * [simplify]: Extracting #0: cost 1 inf + 0 42.456 * * [simplify]: Extracting #1: cost 7 inf + 0 42.456 * * [simplify]: Extracting #2: cost 13 inf + 1 42.457 * * [simplify]: Extracting #3: cost 42 inf + 1 42.457 * * [simplify]: Extracting #4: cost 116 inf + 369 42.459 * * [simplify]: Extracting #5: cost 131 inf + 1622 42.463 * * [simplify]: Extracting #6: cost 72 inf + 13805 42.470 * * [simplify]: Extracting #7: cost 15 inf + 47860 42.480 * * [simplify]: Extracting #8: cost 0 inf + 61860 42.490 * * [simplify]: Extracting #9: cost 0 inf + 60325 42.509 * * [simplify]: Extracting #10: cost 0 inf + 58429 42.531 * * [simplify]: Extracting #11: cost 0 inf + 57511 42.552 * * [simplify]: Extracting #12: cost 0 inf + 57420 42.564 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 42.564 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))))) 42.566 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 42.566 * * [simplify]: iters left: 6 (15 enodes) 42.571 * * [simplify]: iters left: 5 (63 enodes) 42.582 * * [simplify]: iters left: 4 (101 enodes) 42.610 * * [simplify]: iters left: 3 (147 enodes) 42.639 * * [simplify]: iters left: 2 (218 enodes) 42.692 * * [simplify]: iters left: 1 (379 enodes) 42.871 * * [simplify]: Extracting #0: cost 1 inf + 0 42.871 * * [simplify]: Extracting #1: cost 7 inf + 0 42.871 * * [simplify]: Extracting #2: cost 13 inf + 1 42.871 * * [simplify]: Extracting #3: cost 42 inf + 1 42.872 * * [simplify]: Extracting #4: cost 116 inf + 369 42.874 * * [simplify]: Extracting #5: cost 131 inf + 1622 42.879 * * [simplify]: Extracting #6: cost 72 inf + 13805 42.893 * * [simplify]: Extracting #7: cost 15 inf + 47860 42.905 * * [simplify]: Extracting #8: cost 0 inf + 61860 42.917 * * [simplify]: Extracting #9: cost 0 inf + 60325 42.929 * * [simplify]: Extracting #10: cost 0 inf + 58429 42.950 * * [simplify]: Extracting #11: cost 0 inf + 57511 42.971 * * [simplify]: Extracting #12: cost 0 inf + 57420 42.992 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 42.993 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 42.993 * * * * [progress]: [ 129 / 197 ] simplifiying candidate # 42.993 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 42.993 * * [simplify]: iters left: 6 (15 enodes) 43.002 * * [simplify]: iters left: 5 (64 enodes) 43.024 * * [simplify]: iters left: 4 (104 enodes) 43.062 * * [simplify]: iters left: 3 (167 enodes) 43.124 * * [simplify]: iters left: 2 (322 enodes) 43.231 * * [simplify]: Extracting #0: cost 1 inf + 0 43.231 * * [simplify]: Extracting #1: cost 34 inf + 0 43.231 * * [simplify]: Extracting #2: cost 104 inf + 0 43.232 * * [simplify]: Extracting #3: cost 158 inf + 2 43.233 * * [simplify]: Extracting #4: cost 169 inf + 181 43.236 * * [simplify]: Extracting #5: cost 138 inf + 4240 43.241 * * [simplify]: Extracting #6: cost 86 inf + 12902 43.256 * * [simplify]: Extracting #7: cost 20 inf + 56686 43.277 * * [simplify]: Extracting #8: cost 0 inf + 73863 43.298 * * [simplify]: Extracting #9: cost 0 inf + 73230 43.323 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 43.323 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))))) 43.324 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 43.324 * * [simplify]: iters left: 6 (15 enodes) 43.332 * * [simplify]: iters left: 5 (64 enodes) 43.343 * * [simplify]: iters left: 4 (104 enodes) 43.361 * * [simplify]: iters left: 3 (167 enodes) 43.395 * * [simplify]: iters left: 2 (322 enodes) 43.469 * * [simplify]: Extracting #0: cost 1 inf + 0 43.469 * * [simplify]: Extracting #1: cost 34 inf + 0 43.470 * * [simplify]: Extracting #2: cost 104 inf + 0 43.471 * * [simplify]: Extracting #3: cost 158 inf + 2 43.472 * * [simplify]: Extracting #4: cost 169 inf + 181 43.478 * * [simplify]: Extracting #5: cost 138 inf + 4240 43.483 * * [simplify]: Extracting #6: cost 86 inf + 12902 43.498 * * [simplify]: Extracting #7: cost 20 inf + 56686 43.519 * * [simplify]: Extracting #8: cost 0 inf + 73863 43.540 * * [simplify]: Extracting #9: cost 0 inf + 73230 43.562 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 43.562 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))))) 43.563 * * * * [progress]: [ 130 / 197 ] simplifiying candidate # 43.563 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 43.563 * * [simplify]: iters left: 6 (16 enodes) 43.573 * * [simplify]: iters left: 5 (69 enodes) 43.596 * * [simplify]: iters left: 4 (113 enodes) 43.639 * * [simplify]: iters left: 3 (191 enodes) 43.713 * * [simplify]: iters left: 2 (381 enodes) 43.844 * * [simplify]: Extracting #0: cost 1 inf + 0 43.844 * * [simplify]: Extracting #1: cost 36 inf + 0 43.845 * * [simplify]: Extracting #2: cost 108 inf + 1 43.845 * * [simplify]: Extracting #3: cost 166 inf + 2 43.846 * * [simplify]: Extracting #4: cost 168 inf + 639 43.848 * * [simplify]: Extracting #5: cost 117 inf + 7263 43.854 * * [simplify]: Extracting #6: cost 47 inf + 36706 43.865 * * [simplify]: Extracting #7: cost 3 inf + 72435 43.884 * * [simplify]: Extracting #8: cost 0 inf + 75548 43.908 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 43.908 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))))) 43.908 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 43.908 * * [simplify]: iters left: 6 (16 enodes) 43.917 * * [simplify]: iters left: 5 (69 enodes) 43.930 * * [simplify]: iters left: 4 (113 enodes) 43.952 * * [simplify]: iters left: 3 (191 enodes) 43.993 * * [simplify]: iters left: 2 (381 enodes) 44.141 * * [simplify]: Extracting #0: cost 1 inf + 0 44.141 * * [simplify]: Extracting #1: cost 36 inf + 0 44.142 * * [simplify]: Extracting #2: cost 108 inf + 1 44.143 * * [simplify]: Extracting #3: cost 166 inf + 2 44.145 * * [simplify]: Extracting #4: cost 168 inf + 639 44.148 * * [simplify]: Extracting #5: cost 117 inf + 7263 44.160 * * [simplify]: Extracting #6: cost 47 inf + 36706 44.182 * * [simplify]: Extracting #7: cost 3 inf + 72435 44.205 * * [simplify]: Extracting #8: cost 0 inf + 75548 44.229 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.229 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 44.229 * * * * [progress]: [ 131 / 197 ] simplifiying candidate # 44.229 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 44.230 * * [simplify]: iters left: 6 (16 enodes) 44.240 * * [simplify]: iters left: 5 (69 enodes) 44.263 * * [simplify]: iters left: 4 (113 enodes) 44.305 * * [simplify]: iters left: 3 (191 enodes) 44.379 * * [simplify]: iters left: 2 (381 enodes) 44.512 * * [simplify]: Extracting #0: cost 1 inf + 0 44.512 * * [simplify]: Extracting #1: cost 36 inf + 0 44.512 * * [simplify]: Extracting #2: cost 108 inf + 1 44.513 * * [simplify]: Extracting #3: cost 166 inf + 2 44.513 * * [simplify]: Extracting #4: cost 168 inf + 639 44.515 * * [simplify]: Extracting #5: cost 117 inf + 7263 44.521 * * [simplify]: Extracting #6: cost 47 inf + 36706 44.532 * * [simplify]: Extracting #7: cost 3 inf + 72435 44.544 * * [simplify]: Extracting #8: cost 0 inf + 75548 44.559 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.559 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))))) 44.559 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 44.559 * * [simplify]: iters left: 6 (16 enodes) 44.569 * * [simplify]: iters left: 5 (69 enodes) 44.593 * * [simplify]: iters left: 4 (113 enodes) 44.635 * * [simplify]: iters left: 3 (191 enodes) 44.685 * * [simplify]: iters left: 2 (381 enodes) 44.841 * * [simplify]: Extracting #0: cost 1 inf + 0 44.841 * * [simplify]: Extracting #1: cost 36 inf + 0 44.842 * * [simplify]: Extracting #2: cost 108 inf + 1 44.842 * * [simplify]: Extracting #3: cost 166 inf + 2 44.843 * * [simplify]: Extracting #4: cost 168 inf + 639 44.845 * * [simplify]: Extracting #5: cost 117 inf + 7263 44.851 * * [simplify]: Extracting #6: cost 47 inf + 36706 44.874 * * [simplify]: Extracting #7: cost 3 inf + 72435 44.888 * * [simplify]: Extracting #8: cost 0 inf + 75548 44.900 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.900 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 44.900 * * * * [progress]: [ 132 / 197 ] simplifiying candidate # 44.900 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 44.900 * * [simplify]: iters left: 6 (15 enodes) 44.907 * * [simplify]: iters left: 5 (66 enodes) 44.931 * * [simplify]: iters left: 4 (112 enodes) 44.955 * * [simplify]: iters left: 3 (196 enodes) 45.009 * * [simplify]: iters left: 2 (392 enodes) 45.143 * * [simplify]: Extracting #0: cost 1 inf + 0 45.143 * * [simplify]: Extracting #1: cost 39 inf + 0 45.143 * * [simplify]: Extracting #2: cost 125 inf + 1 45.144 * * [simplify]: Extracting #3: cost 179 inf + 3 45.145 * * [simplify]: Extracting #4: cost 182 inf + 432 45.147 * * [simplify]: Extracting #5: cost 135 inf + 7467 45.153 * * [simplify]: Extracting #6: cost 58 inf + 40786 45.166 * * [simplify]: Extracting #7: cost 2 inf + 84070 45.198 * * [simplify]: Extracting #8: cost 0 inf + 84912 45.226 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 45.226 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))))) 45.226 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 45.226 * * [simplify]: iters left: 6 (15 enodes) 45.231 * * [simplify]: iters left: 5 (66 enodes) 45.244 * * [simplify]: iters left: 4 (112 enodes) 45.268 * * [simplify]: iters left: 3 (196 enodes) 45.326 * * [simplify]: iters left: 2 (392 enodes) 45.502 * * [simplify]: Extracting #0: cost 1 inf + 0 45.502 * * [simplify]: Extracting #1: cost 39 inf + 0 45.503 * * [simplify]: Extracting #2: cost 125 inf + 1 45.504 * * [simplify]: Extracting #3: cost 179 inf + 3 45.505 * * [simplify]: Extracting #4: cost 182 inf + 432 45.509 * * [simplify]: Extracting #5: cost 135 inf + 7467 45.521 * * [simplify]: Extracting #6: cost 58 inf + 40786 45.547 * * [simplify]: Extracting #7: cost 2 inf + 84070 45.577 * * [simplify]: Extracting #8: cost 0 inf + 84912 45.606 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 45.606 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 45.606 * * * * [progress]: [ 133 / 197 ] simplifiying candidate # 45.607 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 45.607 * * [simplify]: iters left: 6 (15 enodes) 45.616 * * [simplify]: iters left: 5 (66 enodes) 45.632 * * [simplify]: iters left: 4 (112 enodes) 45.653 * * [simplify]: iters left: 3 (196 enodes) 45.704 * * [simplify]: iters left: 2 (392 enodes) 45.868 * * [simplify]: Extracting #0: cost 1 inf + 0 45.868 * * [simplify]: Extracting #1: cost 39 inf + 0 45.869 * * [simplify]: Extracting #2: cost 125 inf + 1 45.870 * * [simplify]: Extracting #3: cost 179 inf + 3 45.871 * * [simplify]: Extracting #4: cost 182 inf + 432 45.873 * * [simplify]: Extracting #5: cost 135 inf + 7467 45.879 * * [simplify]: Extracting #6: cost 58 inf + 40786 45.892 * * [simplify]: Extracting #7: cost 2 inf + 84070 45.909 * * [simplify]: Extracting #8: cost 0 inf + 84912 45.933 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 45.933 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))))) 45.933 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 45.933 * * [simplify]: iters left: 6 (15 enodes) 45.938 * * [simplify]: iters left: 5 (66 enodes) 45.950 * * [simplify]: iters left: 4 (112 enodes) 45.978 * * [simplify]: iters left: 3 (196 enodes) 46.037 * * [simplify]: iters left: 2 (392 enodes) 46.209 * * [simplify]: Extracting #0: cost 1 inf + 0 46.209 * * [simplify]: Extracting #1: cost 39 inf + 0 46.209 * * [simplify]: Extracting #2: cost 125 inf + 1 46.210 * * [simplify]: Extracting #3: cost 179 inf + 3 46.211 * * [simplify]: Extracting #4: cost 182 inf + 432 46.212 * * [simplify]: Extracting #5: cost 135 inf + 7467 46.222 * * [simplify]: Extracting #6: cost 58 inf + 40786 46.235 * * [simplify]: Extracting #7: cost 2 inf + 84070 46.249 * * [simplify]: Extracting #8: cost 0 inf + 84912 46.277 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 46.277 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 46.278 * * * * [progress]: [ 134 / 197 ] simplifiying candidate # 46.278 * [simplify]: Simplifying (cbrt (/ 1 (sqrt k))) 46.278 * * [simplify]: iters left: 4 (5 enodes) 46.281 * * [simplify]: iters left: 3 (17 enodes) 46.286 * * [simplify]: iters left: 2 (19 enodes) 46.292 * * [simplify]: Extracting #0: cost 1 inf + 0 46.292 * * [simplify]: Extracting #1: cost 3 inf + 0 46.292 * * [simplify]: Extracting #2: cost 6 inf + 0 46.292 * * [simplify]: Extracting #3: cost 7 inf + 1 46.292 * * [simplify]: Extracting #4: cost 0 inf + 572 46.292 * [simplify]: Simplified to (cbrt (/ 1 (sqrt k))) 46.292 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (cbrt (/ 1 (sqrt k))))) 46.293 * * * * [progress]: [ 135 / 197 ] simplifiying candidate # 46.293 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 46.293 * * [simplify]: iters left: 4 (5 enodes) 46.295 * * [simplify]: iters left: 3 (17 enodes) 46.301 * * [simplify]: iters left: 2 (19 enodes) 46.308 * * [simplify]: Extracting #0: cost 1 inf + 0 46.308 * * [simplify]: Extracting #1: cost 3 inf + 0 46.308 * * [simplify]: Extracting #2: cost 6 inf + 0 46.308 * * [simplify]: Extracting #3: cost 7 inf + 1 46.308 * * [simplify]: Extracting #4: cost 0 inf + 492 46.308 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 46.308 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k))))) 46.308 * * * * [progress]: [ 136 / 197 ] simplifiying candidate # 46.308 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 46.309 * * [simplify]: iters left: 4 (6 enodes) 46.311 * * [simplify]: iters left: 3 (20 enodes) 46.314 * * [simplify]: iters left: 2 (22 enodes) 46.318 * * [simplify]: Extracting #0: cost 1 inf + 0 46.318 * * [simplify]: Extracting #1: cost 4 inf + 0 46.318 * * [simplify]: Extracting #2: cost 5 inf + 1 46.318 * * [simplify]: Extracting #3: cost 7 inf + 1 46.318 * * [simplify]: Extracting #4: cost 1 inf + 488 46.318 * * [simplify]: Extracting #5: cost 0 inf + 650 46.318 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 46.318 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 46.318 * * * * [progress]: [ 137 / 197 ] simplifiying candidate # 46.318 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 46.318 * * [simplify]: iters left: 4 (6 enodes) 46.321 * * [simplify]: iters left: 3 (20 enodes) 46.324 * * [simplify]: iters left: 2 (22 enodes) 46.327 * * [simplify]: Extracting #0: cost 1 inf + 0 46.327 * * [simplify]: Extracting #1: cost 4 inf + 0 46.327 * * [simplify]: Extracting #2: cost 5 inf + 1 46.327 * * [simplify]: Extracting #3: cost 7 inf + 1 46.327 * * [simplify]: Extracting #4: cost 1 inf + 568 46.327 * * [simplify]: Extracting #5: cost 0 inf + 730 46.327 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 46.327 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 46.327 * * * * [progress]: [ 138 / 197 ] simplifiying candidate # 46.328 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 46.328 * * [simplify]: iters left: 4 (6 enodes) 46.330 * * [simplify]: iters left: 3 (20 enodes) 46.333 * * [simplify]: iters left: 2 (22 enodes) 46.338 * * [simplify]: Extracting #0: cost 1 inf + 0 46.338 * * [simplify]: Extracting #1: cost 4 inf + 0 46.338 * * [simplify]: Extracting #2: cost 5 inf + 1 46.338 * * [simplify]: Extracting #3: cost 7 inf + 1 46.338 * * [simplify]: Extracting #4: cost 1 inf + 368 46.338 * * [simplify]: Extracting #5: cost 0 inf + 490 46.339 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.339 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.339 * * * * [progress]: [ 139 / 197 ] simplifiying candidate # 46.339 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 46.339 * * [simplify]: iters left: 3 (5 enodes) 46.343 * * [simplify]: iters left: 2 (17 enodes) 46.349 * * [simplify]: iters left: 1 (19 enodes) 46.354 * * [simplify]: Extracting #0: cost 1 inf + 0 46.354 * * [simplify]: Extracting #1: cost 4 inf + 0 46.354 * * [simplify]: Extracting #2: cost 5 inf + 1 46.354 * * [simplify]: Extracting #3: cost 0 inf + 248 46.354 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.354 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ 1 (sqrt k)))) 46.354 * * * * [progress]: [ 140 / 197 ] simplifiying candidate # 46.355 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 46.355 * * [simplify]: iters left: 4 (6 enodes) 46.359 * * [simplify]: iters left: 3 (20 enodes) 46.364 * * [simplify]: iters left: 2 (22 enodes) 46.371 * * [simplify]: Extracting #0: cost 1 inf + 0 46.371 * * [simplify]: Extracting #1: cost 4 inf + 0 46.371 * * [simplify]: Extracting #2: cost 5 inf + 1 46.371 * * [simplify]: Extracting #3: cost 7 inf + 1 46.371 * * [simplify]: Extracting #4: cost 1 inf + 368 46.371 * * [simplify]: Extracting #5: cost 0 inf + 490 46.371 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.371 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.372 * * * * [progress]: [ 141 / 197 ] simplifiying candidate # 46.372 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 46.372 * * [simplify]: iters left: 3 (5 enodes) 46.376 * * [simplify]: iters left: 2 (17 enodes) 46.381 * * [simplify]: iters left: 1 (19 enodes) 46.386 * * [simplify]: Extracting #0: cost 1 inf + 0 46.386 * * [simplify]: Extracting #1: cost 4 inf + 0 46.386 * * [simplify]: Extracting #2: cost 5 inf + 1 46.386 * * [simplify]: Extracting #3: cost 0 inf + 248 46.386 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.387 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ 1 (sqrt k)))) 46.387 * * * * [progress]: [ 142 / 197 ] simplifiying candidate # 46.387 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 46.387 * * [simplify]: iters left: 4 (6 enodes) 46.391 * * [simplify]: iters left: 3 (20 enodes) 46.396 * * [simplify]: iters left: 2 (22 enodes) 46.399 * * [simplify]: Extracting #0: cost 1 inf + 0 46.399 * * [simplify]: Extracting #1: cost 4 inf + 0 46.399 * * [simplify]: Extracting #2: cost 5 inf + 1 46.399 * * [simplify]: Extracting #3: cost 7 inf + 1 46.399 * * [simplify]: Extracting #4: cost 1 inf + 488 46.399 * * [simplify]: Extracting #5: cost 0 inf + 650 46.399 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 46.399 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 46.399 * * * * [progress]: [ 143 / 197 ] simplifiying candidate # 46.400 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 46.400 * * [simplify]: iters left: 4 (6 enodes) 46.402 * * [simplify]: iters left: 3 (20 enodes) 46.405 * * [simplify]: iters left: 2 (22 enodes) 46.408 * * [simplify]: Extracting #0: cost 1 inf + 0 46.408 * * [simplify]: Extracting #1: cost 4 inf + 0 46.408 * * [simplify]: Extracting #2: cost 5 inf + 1 46.408 * * [simplify]: Extracting #3: cost 7 inf + 1 46.408 * * [simplify]: Extracting #4: cost 1 inf + 568 46.408 * * [simplify]: Extracting #5: cost 0 inf + 730 46.408 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 46.408 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 46.408 * * * * [progress]: [ 144 / 197 ] simplifiying candidate # 46.409 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 46.409 * * [simplify]: iters left: 4 (6 enodes) 46.411 * * [simplify]: iters left: 3 (20 enodes) 46.414 * * [simplify]: iters left: 2 (22 enodes) 46.417 * * [simplify]: Extracting #0: cost 1 inf + 0 46.417 * * [simplify]: Extracting #1: cost 4 inf + 0 46.417 * * [simplify]: Extracting #2: cost 5 inf + 1 46.417 * * [simplify]: Extracting #3: cost 7 inf + 1 46.417 * * [simplify]: Extracting #4: cost 1 inf + 368 46.417 * * [simplify]: Extracting #5: cost 0 inf + 490 46.417 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.417 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.417 * * * * [progress]: [ 145 / 197 ] simplifiying candidate # 46.418 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 46.418 * * [simplify]: iters left: 3 (5 enodes) 46.422 * * [simplify]: iters left: 2 (17 enodes) 46.427 * * [simplify]: iters left: 1 (19 enodes) 46.432 * * [simplify]: Extracting #0: cost 1 inf + 0 46.433 * * [simplify]: Extracting #1: cost 4 inf + 0 46.433 * * [simplify]: Extracting #2: cost 5 inf + 1 46.433 * * [simplify]: Extracting #3: cost 0 inf + 248 46.433 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.433 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt 1))) (/ 1 (sqrt k)))) 46.433 * * * * [progress]: [ 146 / 197 ] simplifiying candidate # 46.434 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 46.434 * * [simplify]: iters left: 4 (6 enodes) 46.437 * * [simplify]: iters left: 3 (20 enodes) 46.444 * * [simplify]: iters left: 2 (22 enodes) 46.450 * * [simplify]: Extracting #0: cost 1 inf + 0 46.450 * * [simplify]: Extracting #1: cost 4 inf + 0 46.450 * * [simplify]: Extracting #2: cost 5 inf + 1 46.450 * * [simplify]: Extracting #3: cost 7 inf + 1 46.450 * * [simplify]: Extracting #4: cost 1 inf + 368 46.451 * * [simplify]: Extracting #5: cost 0 inf + 490 46.451 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.451 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.451 * * * * [progress]: [ 147 / 197 ] simplifiying candidate # 46.451 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 46.451 * * [simplify]: iters left: 3 (5 enodes) 46.456 * * [simplify]: iters left: 2 (17 enodes) 46.461 * * [simplify]: iters left: 1 (19 enodes) 46.467 * * [simplify]: Extracting #0: cost 1 inf + 0 46.467 * * [simplify]: Extracting #1: cost 4 inf + 0 46.467 * * [simplify]: Extracting #2: cost 5 inf + 1 46.467 * * [simplify]: Extracting #3: cost 0 inf + 248 46.467 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.467 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (/ 1 (sqrt k)))) 46.468 * * * * [progress]: [ 148 / 197 ] simplifiying candidate # 46.468 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 46.468 * * [simplify]: iters left: 4 (5 enodes) 46.471 * * [simplify]: iters left: 3 (17 enodes) 46.477 * * [simplify]: iters left: 2 (19 enodes) 46.483 * * [simplify]: Extracting #0: cost 1 inf + 0 46.483 * * [simplify]: Extracting #1: cost 4 inf + 0 46.483 * * [simplify]: Extracting #2: cost 5 inf + 1 46.483 * * [simplify]: Extracting #3: cost 7 inf + 1 46.483 * * [simplify]: Extracting #4: cost 0 inf + 650 46.483 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 46.483 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 46.483 * * * * [progress]: [ 149 / 197 ] simplifiying candidate # 46.484 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 46.484 * * [simplify]: iters left: 4 (5 enodes) 46.486 * * [simplify]: iters left: 3 (17 enodes) 46.491 * * [simplify]: iters left: 2 (19 enodes) 46.494 * * [simplify]: Extracting #0: cost 1 inf + 0 46.494 * * [simplify]: Extracting #1: cost 4 inf + 0 46.494 * * [simplify]: Extracting #2: cost 5 inf + 1 46.494 * * [simplify]: Extracting #3: cost 7 inf + 1 46.494 * * [simplify]: Extracting #4: cost 0 inf + 730 46.494 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 46.495 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 46.495 * * * * [progress]: [ 150 / 197 ] simplifiying candidate # 46.495 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 46.495 * * [simplify]: iters left: 4 (5 enodes) 46.496 * * [simplify]: iters left: 3 (17 enodes) 46.499 * * [simplify]: iters left: 2 (19 enodes) 46.502 * * [simplify]: Extracting #0: cost 1 inf + 0 46.502 * * [simplify]: Extracting #1: cost 4 inf + 0 46.502 * * [simplify]: Extracting #2: cost 5 inf + 1 46.502 * * [simplify]: Extracting #3: cost 7 inf + 1 46.502 * * [simplify]: Extracting #4: cost 0 inf + 490 46.502 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.502 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.503 * * * * [progress]: [ 151 / 197 ] simplifiying candidate # 46.503 * [simplify]: Simplifying (/ 1 (sqrt k)) 46.503 * * [simplify]: iters left: 3 (4 enodes) 46.504 * * [simplify]: iters left: 2 (14 enodes) 46.507 * * [simplify]: iters left: 1 (16 enodes) 46.509 * * [simplify]: Extracting #0: cost 1 inf + 0 46.509 * * [simplify]: Extracting #1: cost 4 inf + 0 46.509 * * [simplify]: Extracting #2: cost 5 inf + 1 46.509 * * [simplify]: Extracting #3: cost 3 inf + 43 46.509 * * [simplify]: Extracting #4: cost 1 inf + 166 46.510 * * [simplify]: Extracting #5: cost 0 inf + 248 46.510 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.510 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt 1))) (/ 1 (sqrt k)))) 46.510 * * * * [progress]: [ 152 / 197 ] simplifiying candidate # 46.510 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 46.510 * * [simplify]: iters left: 4 (5 enodes) 46.512 * * [simplify]: iters left: 3 (17 enodes) 46.514 * * [simplify]: iters left: 2 (19 enodes) 46.517 * * [simplify]: Extracting #0: cost 1 inf + 0 46.517 * * [simplify]: Extracting #1: cost 4 inf + 0 46.518 * * [simplify]: Extracting #2: cost 5 inf + 1 46.518 * * [simplify]: Extracting #3: cost 7 inf + 1 46.518 * * [simplify]: Extracting #4: cost 0 inf + 490 46.518 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.518 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.518 * * * * [progress]: [ 153 / 197 ] simplifiying candidate # 46.518 * [simplify]: Simplifying (/ 1 (sqrt k)) 46.519 * * [simplify]: iters left: 3 (4 enodes) 46.521 * * [simplify]: iters left: 2 (14 enodes) 46.526 * * [simplify]: iters left: 1 (16 enodes) 46.531 * * [simplify]: Extracting #0: cost 1 inf + 0 46.531 * * [simplify]: Extracting #1: cost 4 inf + 0 46.531 * * [simplify]: Extracting #2: cost 5 inf + 1 46.531 * * [simplify]: Extracting #3: cost 3 inf + 43 46.531 * * [simplify]: Extracting #4: cost 1 inf + 166 46.531 * * [simplify]: Extracting #5: cost 0 inf + 248 46.531 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.531 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 1)) (/ 1 (sqrt k)))) 46.531 * * * * [progress]: [ 154 / 197 ] simplifiying candidate # 46.532 * [simplify]: Simplifying (/ 1 (sqrt k)) 46.532 * * [simplify]: iters left: 3 (4 enodes) 46.534 * * [simplify]: iters left: 2 (14 enodes) 46.539 * * [simplify]: iters left: 1 (16 enodes) 46.544 * * [simplify]: Extracting #0: cost 1 inf + 0 46.544 * * [simplify]: Extracting #1: cost 4 inf + 0 46.544 * * [simplify]: Extracting #2: cost 5 inf + 1 46.544 * * [simplify]: Extracting #3: cost 3 inf + 43 46.544 * * [simplify]: Extracting #4: cost 1 inf + 166 46.544 * * [simplify]: Extracting #5: cost 0 inf + 248 46.545 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.545 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k)))) 46.545 * * * * [progress]: [ 155 / 197 ] simplifiying candidate # 46.545 * [simplify]: Simplifying (/ 1 (sqrt k)) 46.545 * * [simplify]: iters left: 3 (4 enodes) 46.547 * * [simplify]: iters left: 2 (14 enodes) 46.552 * * [simplify]: iters left: 1 (16 enodes) 46.557 * * [simplify]: Extracting #0: cost 1 inf + 0 46.557 * * [simplify]: Extracting #1: cost 4 inf + 0 46.557 * * [simplify]: Extracting #2: cost 5 inf + 1 46.557 * * [simplify]: Extracting #3: cost 3 inf + 43 46.557 * * [simplify]: Extracting #4: cost 1 inf + 166 46.558 * * [simplify]: Extracting #5: cost 0 inf + 248 46.558 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.558 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k)))) 46.558 * * * * [progress]: [ 156 / 197 ] simplifiying candidate # 46.558 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 46.558 * * [simplify]: iters left: 5 (7 enodes) 46.565 * * [simplify]: iters left: 4 (32 enodes) 46.577 * * [simplify]: iters left: 3 (57 enodes) 46.596 * * [simplify]: iters left: 2 (88 enodes) 46.627 * * [simplify]: iters left: 1 (156 enodes) 46.687 * * [simplify]: Extracting #0: cost 1 inf + 0 46.687 * * [simplify]: Extracting #1: cost 13 inf + 0 46.687 * * [simplify]: Extracting #2: cost 49 inf + 2 46.687 * * [simplify]: Extracting #3: cost 80 inf + 6 46.688 * * [simplify]: Extracting #4: cost 58 inf + 1840 46.689 * * [simplify]: Extracting #5: cost 22 inf + 9206 46.692 * * [simplify]: Extracting #6: cost 1 inf + 20886 46.695 * * [simplify]: Extracting #7: cost 0 inf + 21301 46.700 * * [simplify]: Extracting #8: cost 0 inf + 21130 46.703 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 46.703 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) 46.703 * * * * [progress]: [ 157 / 197 ] simplifiying candidate # 46.704 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 46.704 * * [simplify]: iters left: 6 (12 enodes) 46.707 * * [simplify]: iters left: 5 (51 enodes) 46.717 * * [simplify]: iters left: 4 (84 enodes) 46.731 * * [simplify]: iters left: 3 (125 enodes) 46.753 * * [simplify]: iters left: 2 (198 enodes) 46.807 * * [simplify]: iters left: 1 (353 enodes) 46.978 * * [simplify]: Extracting #0: cost 1 inf + 0 46.978 * * [simplify]: Extracting #1: cost 3 inf + 0 46.979 * * [simplify]: Extracting #2: cost 5 inf + 0 46.979 * * [simplify]: Extracting #3: cost 28 inf + 0 46.979 * * [simplify]: Extracting #4: cost 101 inf + 1 46.980 * * [simplify]: Extracting #5: cost 136 inf + 176 46.982 * * [simplify]: Extracting #6: cost 126 inf + 1348 46.986 * * [simplify]: Extracting #7: cost 70 inf + 12457 47.000 * * [simplify]: Extracting #8: cost 19 inf + 42176 47.022 * * [simplify]: Extracting #9: cost 0 inf + 57297 47.032 * * [simplify]: Extracting #10: cost 0 inf + 56855 47.042 * * [simplify]: Extracting #11: cost 0 inf + 56816 47.051 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 47.051 * [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))) (/ 1 (sqrt k))))) 47.051 * * * * [progress]: [ 158 / 197 ] simplifiying candidate # 47.052 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 47.052 * * [simplify]: iters left: 6 (11 enodes) 47.057 * * [simplify]: iters left: 5 (48 enodes) 47.068 * * [simplify]: iters left: 4 (78 enodes) 47.082 * * [simplify]: iters left: 3 (120 enodes) 47.119 * * [simplify]: iters left: 2 (211 enodes) 47.196 * * [simplify]: iters left: 1 (380 enodes) 47.344 * * [simplify]: Extracting #0: cost 1 inf + 0 47.344 * * [simplify]: Extracting #1: cost 4 inf + 0 47.344 * * [simplify]: Extracting #2: cost 29 inf + 0 47.345 * * [simplify]: Extracting #3: cost 113 inf + 1 47.346 * * [simplify]: Extracting #4: cost 155 inf + 220 47.347 * * [simplify]: Extracting #5: cost 153 inf + 561 47.350 * * [simplify]: Extracting #6: cost 121 inf + 2833 47.356 * * [simplify]: Extracting #7: cost 68 inf + 14038 47.371 * * [simplify]: Extracting #8: cost 15 inf + 50044 47.392 * * [simplify]: Extracting #9: cost 0 inf + 59395 47.408 * * [simplify]: Extracting #10: cost 0 inf + 59194 47.422 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 47.422 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))))) 47.423 * * * * [progress]: [ 159 / 197 ] simplifiying candidate # 47.423 * * * * [progress]: [ 160 / 197 ] simplifiying candidate # 47.423 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 47.423 * * [simplify]: iters left: 6 (11 enodes) 47.431 * * [simplify]: iters left: 5 (51 enodes) 47.449 * * [simplify]: iters left: 4 (87 enodes) 47.483 * * [simplify]: iters left: 3 (143 enodes) 47.513 * * [simplify]: iters left: 2 (259 enodes) 47.591 * * [simplify]: iters left: 1 (469 enodes) 47.799 * * [simplify]: Extracting #0: cost 1 inf + 0 47.799 * * [simplify]: Extracting #1: cost 24 inf + 0 47.800 * * [simplify]: Extracting #2: cost 110 inf + 1 47.800 * * [simplify]: Extracting #3: cost 192 inf + 178 47.802 * * [simplify]: Extracting #4: cost 178 inf + 1845 47.805 * * [simplify]: Extracting #5: cost 89 inf + 12477 47.811 * * [simplify]: Extracting #6: cost 41 inf + 28219 47.821 * * [simplify]: Extracting #7: cost 4 inf + 58625 47.832 * * [simplify]: Extracting #8: cost 0 inf + 62670 47.845 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 47.845 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt k))))) 47.845 * * * * [progress]: [ 161 / 197 ] simplifiying candidate # 47.845 * [simplify]: Simplifying (sqrt k) 47.845 * * [simplify]: iters left: 1 (2 enodes) 47.846 * * [simplify]: Extracting #0: cost 1 inf + 0 47.846 * * [simplify]: Extracting #1: cost 3 inf + 0 47.846 * * [simplify]: Extracting #2: cost 2 inf + 1 47.846 * * [simplify]: Extracting #3: cost 0 inf + 83 47.846 * [simplify]: Simplified to (sqrt k) 47.846 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 47.846 * * * * [progress]: [ 162 / 197 ] simplifiying candidate # 47.846 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (/ 1 (sqrt k))) 47.846 * * [simplify]: iters left: 6 (12 enodes) 47.851 * * [simplify]: iters left: 5 (50 enodes) 47.861 * * [simplify]: iters left: 4 (88 enodes) 47.898 * * [simplify]: iters left: 3 (169 enodes) 47.942 * * [simplify]: iters left: 2 (291 enodes) 48.102 * * [simplify]: Extracting #0: cost 1 inf + 0 48.102 * * [simplify]: Extracting #1: cost 31 inf + 0 48.103 * * [simplify]: Extracting #2: cost 95 inf + 1 48.104 * * [simplify]: Extracting #3: cost 95 inf + 50 48.105 * * [simplify]: Extracting #4: cost 85 inf + 844 48.109 * * [simplify]: Extracting #5: cost 34 inf + 22508 48.116 * * [simplify]: Extracting #6: cost 0 inf + 45097 48.122 * * [simplify]: Extracting #7: cost 0 inf + 44362 48.128 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 48.128 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))) 48.128 * * * * [progress]: [ 163 / 197 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))> 48.128 * * * * [progress]: [ 164 / 197 ] simplifiying candidate # 48.128 * * * * [progress]: [ 165 / 197 ] simplifiying candidate # 48.128 * * * * [progress]: [ 166 / 197 ] simplifiying candidate # 48.128 * * * * [progress]: [ 167 / 197 ] simplifiying candidate # 48.129 * [simplify]: Simplifying (* n (* 2 PI)) 48.129 * * [simplify]: iters left: 4 (5 enodes) 48.130 * * [simplify]: iters left: 3 (19 enodes) 48.134 * * [simplify]: iters left: 2 (27 enodes) 48.142 * * [simplify]: iters left: 1 (32 enodes) 48.150 * * [simplify]: Extracting #0: cost 1 inf + 0 48.150 * * [simplify]: Extracting #1: cost 8 inf + 0 48.150 * * [simplify]: Extracting #2: cost 7 inf + 45 48.150 * * [simplify]: Extracting #3: cost 0 inf + 421 48.151 * [simplify]: Simplified to (* (* PI 2) n) 48.151 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.151 * * * * [progress]: [ 168 / 197 ] simplifiying candidate # 48.151 * [simplify]: Simplifying (* n (* 2 PI)) 48.151 * * [simplify]: iters left: 4 (5 enodes) 48.154 * * [simplify]: iters left: 3 (19 enodes) 48.160 * * [simplify]: iters left: 2 (27 enodes) 48.169 * * [simplify]: iters left: 1 (32 enodes) 48.180 * * [simplify]: Extracting #0: cost 1 inf + 0 48.180 * * [simplify]: Extracting #1: cost 8 inf + 0 48.180 * * [simplify]: Extracting #2: cost 7 inf + 45 48.181 * * [simplify]: Extracting #3: cost 0 inf + 421 48.181 * [simplify]: Simplified to (* (* PI 2) n) 48.181 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.181 * * * * [progress]: [ 169 / 197 ] simplifiying candidate # 48.181 * * * * [progress]: [ 170 / 197 ] simplifiying candidate # 48.181 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 48.182 * * [simplify]: iters left: 5 (8 enodes) 48.186 * * [simplify]: iters left: 4 (28 enodes) 48.195 * * [simplify]: iters left: 3 (36 enodes) 48.205 * * [simplify]: iters left: 2 (42 enodes) 48.210 * * [simplify]: Extracting #0: cost 1 inf + 0 48.210 * * [simplify]: Extracting #1: cost 8 inf + 0 48.210 * * [simplify]: Extracting #2: cost 17 inf + 0 48.210 * * [simplify]: Extracting #3: cost 12 inf + 145 48.211 * * [simplify]: Extracting #4: cost 5 inf + 1197 48.211 * * [simplify]: Extracting #5: cost 1 inf + 1925 48.211 * * [simplify]: Extracting #6: cost 0 inf + 2107 48.211 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 48.211 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.212 * * * * [progress]: [ 171 / 197 ] simplifiying candidate # 48.212 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 48.212 * * [simplify]: iters left: 5 (7 enodes) 48.214 * * [simplify]: iters left: 4 (26 enodes) 48.218 * * [simplify]: iters left: 3 (35 enodes) 48.224 * * [simplify]: iters left: 2 (44 enodes) 48.231 * * [simplify]: Extracting #0: cost 1 inf + 0 48.231 * * [simplify]: Extracting #1: cost 8 inf + 0 48.231 * * [simplify]: Extracting #2: cost 18 inf + 0 48.231 * * [simplify]: Extracting #3: cost 15 inf + 74 48.231 * * [simplify]: Extracting #4: cost 8 inf + 554 48.231 * * [simplify]: Extracting #5: cost 0 inf + 1911 48.231 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 48.231 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.232 * * * * [progress]: [ 172 / 197 ] simplifiying candidate # 48.232 * * * * [progress]: [ 173 / 197 ] simplifiying candidate # 48.232 * * * * [progress]: [ 174 / 197 ] simplifiying candidate # 48.232 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 48.232 * * [simplify]: iters left: 6 (11 enodes) 48.236 * * [simplify]: iters left: 5 (48 enodes) 48.254 * * [simplify]: iters left: 4 (121 enodes) 48.289 * * [simplify]: iters left: 3 (348 enodes) 48.494 * * [simplify]: Extracting #0: cost 1 inf + 0 48.494 * * [simplify]: Extracting #1: cost 67 inf + 0 48.496 * * [simplify]: Extracting #2: cost 165 inf + 786 48.501 * * [simplify]: Extracting #3: cost 85 inf + 10177 48.510 * * [simplify]: Extracting #4: cost 9 inf + 26399 48.518 * * [simplify]: Extracting #5: cost 0 inf + 28546 48.525 * * [simplify]: Extracting #6: cost 0 inf + 28506 48.531 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 48.531 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.532 * * * * [progress]: [ 175 / 197 ] simplifiying candidate # 48.532 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 48.532 * * [simplify]: iters left: 6 (9 enodes) 48.535 * * [simplify]: iters left: 5 (45 enodes) 48.550 * * [simplify]: iters left: 4 (117 enodes) 48.599 * * [simplify]: iters left: 3 (374 enodes) 48.889 * * [simplify]: Extracting #0: cost 1 inf + 0 48.889 * * [simplify]: Extracting #1: cost 77 inf + 0 48.892 * * [simplify]: Extracting #2: cost 184 inf + 984 48.899 * * [simplify]: Extracting #3: cost 106 inf + 11690 48.920 * * [simplify]: Extracting #4: cost 6 inf + 30376 48.939 * * [simplify]: Extracting #5: cost 0 inf + 31644 48.954 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 48.954 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.954 * * * * [progress]: [ 176 / 197 ] simplifiying candidate # 48.954 * * * * [progress]: [ 177 / 197 ] simplifiying candidate # 48.954 * * * * [progress]: [ 178 / 197 ] simplifiying candidate # 48.954 * * * * [progress]: [ 179 / 197 ] simplifiying candidate # 48.954 * * * * [progress]: [ 180 / 197 ] simplifiying candidate # 48.954 * * * * [progress]: [ 181 / 197 ] simplifiying candidate # 48.954 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 48.954 * * [simplify]: iters left: 3 (3 enodes) 48.955 * * [simplify]: iters left: 2 (9 enodes) 48.956 * * [simplify]: Extracting #0: cost 1 inf + 0 48.956 * * [simplify]: Extracting #1: cost 3 inf + 0 48.956 * * [simplify]: Extracting #2: cost 5 inf + 0 48.956 * * [simplify]: Extracting #3: cost 4 inf + 1 48.957 * * [simplify]: Extracting #4: cost 0 inf + 405 48.957 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 48.957 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.957 * * * * [progress]: [ 182 / 197 ] simplifiying candidate # 48.957 * [simplify]: Simplifying (sqrt n) 48.957 * * [simplify]: iters left: 1 (2 enodes) 48.957 * * [simplify]: Extracting #0: cost 1 inf + 0 48.957 * * [simplify]: Extracting #1: cost 3 inf + 0 48.957 * * [simplify]: Extracting #2: cost 2 inf + 1 48.957 * * [simplify]: Extracting #3: cost 0 inf + 83 48.958 * [simplify]: Simplified to (sqrt n) 48.958 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.958 * * * * [progress]: [ 183 / 197 ] simplifiying candidate # 48.958 * * * * [progress]: [ 184 / 197 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))> 48.958 * * * * [progress]: [ 185 / 197 ] simplifiying candidate # 48.958 * * * * [progress]: [ 186 / 197 ] simplifiying candidate # 48.958 * [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))))) 48.958 * * [simplify]: iters left: 6 (37 enodes) 48.970 * * [simplify]: iters left: 5 (190 enodes) 49.016 * * [simplify]: Extracting #0: cost 1 inf + 0 49.016 * * [simplify]: Extracting #1: cost 22 inf + 0 49.016 * * [simplify]: Extracting #2: cost 108 inf + 1 49.017 * * [simplify]: Extracting #3: cost 171 inf + 46 49.017 * * [simplify]: Extracting #4: cost 189 inf + 427 49.020 * * [simplify]: Extracting #5: cost 128 inf + 16032 49.028 * * [simplify]: Extracting #6: cost 29 inf + 57153 49.054 * * [simplify]: Extracting #7: cost 4 inf + 75884 49.086 * * [simplify]: Extracting #8: cost 0 inf + 78767 49.119 * [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))) 49.119 * [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))) (/ 1 (sqrt k)))) 49.120 * * * * [progress]: [ 187 / 197 ] simplifiying candidate # 49.120 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 49.120 * * [simplify]: iters left: 6 (15 enodes) 49.129 * * [simplify]: iters left: 5 (65 enodes) 49.151 * * [simplify]: iters left: 4 (123 enodes) 49.180 * * [simplify]: iters left: 3 (367 enodes) 49.361 * * [simplify]: Extracting #0: cost 1 inf + 0 49.362 * * [simplify]: Extracting #1: cost 37 inf + 0 49.362 * * [simplify]: Extracting #2: cost 216 inf + 72 49.363 * * [simplify]: Extracting #3: cost 356 inf + 1622 49.372 * * [simplify]: Extracting #4: cost 219 inf + 28945 49.399 * * [simplify]: Extracting #5: cost 21 inf + 83197 49.423 * * [simplify]: Extracting #6: cost 0 inf + 89881 49.442 * * [simplify]: Extracting #7: cost 0 inf + 89729 49.466 * * [simplify]: Extracting #8: cost 0 inf + 89726 49.483 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 49.483 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (/ 1 (sqrt k)))) 49.483 * * * * [progress]: [ 188 / 197 ] simplifiying candidate # 49.483 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 49.483 * * [simplify]: iters left: 6 (16 enodes) 49.489 * * [simplify]: iters left: 5 (67 enodes) 49.511 * * [simplify]: iters left: 4 (134 enodes) 49.575 * * [simplify]: iters left: 3 (413 enodes) 49.810 * * [simplify]: Extracting #0: cost 1 inf + 0 49.810 * * [simplify]: Extracting #1: cost 39 inf + 0 49.811 * * [simplify]: Extracting #2: cost 241 inf + 72 49.813 * * [simplify]: Extracting #3: cost 450 inf + 903 49.816 * * [simplify]: Extracting #4: cost 376 inf + 10375 49.826 * * [simplify]: Extracting #5: cost 158 inf + 67083 49.854 * * [simplify]: Extracting #6: cost 12 inf + 118840 49.877 * * [simplify]: Extracting #7: cost 0 inf + 121984 49.921 * * [simplify]: Extracting #8: cost 0 inf + 121983 49.968 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 49.968 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 (sqrt k)))) 49.968 * * * * [progress]: [ 189 / 197 ] simplifiying candidate # 49.969 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 49.969 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 49.969 * * * * [progress]: [ 190 / 197 ] simplifiying candidate # 49.969 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 49.969 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 49.969 * * * * [progress]: [ 191 / 197 ] simplifiying candidate # 49.969 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 49.969 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 49.970 * * * * [progress]: [ 192 / 197 ] simplifiying candidate # 49.970 * [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)))))))))))))))))))))) 49.970 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 49.971 * * * * [progress]: [ 193 / 197 ] simplifiying candidate # 49.971 * [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)))))))) 49.971 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 49.971 * * * * [progress]: [ 194 / 197 ] simplifiying candidate # 49.971 * [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)))))))))))) 49.972 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 49.972 * * * * [progress]: [ 195 / 197 ] simplifiying candidate # 49.972 * [simplify]: Simplifying (* 2 (* n PI)) 49.972 * * [simplify]: iters left: 4 (5 enodes) 49.975 * * [simplify]: iters left: 3 (19 enodes) 49.978 * * [simplify]: iters left: 2 (27 enodes) 49.982 * * [simplify]: iters left: 1 (32 enodes) 49.986 * * [simplify]: Extracting #0: cost 1 inf + 0 49.986 * * [simplify]: Extracting #1: cost 8 inf + 0 49.986 * * [simplify]: Extracting #2: cost 7 inf + 45 49.986 * * [simplify]: Extracting #3: cost 0 inf + 421 49.987 * [simplify]: Simplified to (* (* PI n) 2) 49.987 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 49.987 * * * * [progress]: [ 196 / 197 ] simplifiying candidate # 49.987 * [simplify]: Simplifying (* 2 (* n PI)) 49.987 * * [simplify]: iters left: 4 (5 enodes) 49.989 * * [simplify]: iters left: 3 (19 enodes) 49.992 * * [simplify]: iters left: 2 (27 enodes) 49.996 * * [simplify]: iters left: 1 (32 enodes) 50.000 * * [simplify]: Extracting #0: cost 1 inf + 0 50.000 * * [simplify]: Extracting #1: cost 8 inf + 0 50.000 * * [simplify]: Extracting #2: cost 7 inf + 45 50.000 * * [simplify]: Extracting #3: cost 0 inf + 421 50.000 * [simplify]: Simplified to (* (* PI n) 2) 50.000 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 50.000 * * * * [progress]: [ 197 / 197 ] simplifiying candidate # 50.000 * [simplify]: Simplifying (* 2 (* n PI)) 50.001 * * [simplify]: iters left: 4 (5 enodes) 50.002 * * [simplify]: iters left: 3 (19 enodes) 50.005 * * [simplify]: iters left: 2 (27 enodes) 50.009 * * [simplify]: iters left: 1 (32 enodes) 50.016 * * [simplify]: Extracting #0: cost 1 inf + 0 50.017 * * [simplify]: Extracting #1: cost 8 inf + 0 50.017 * * [simplify]: Extracting #2: cost 7 inf + 45 50.017 * * [simplify]: Extracting #3: cost 0 inf + 421 50.017 * [simplify]: Simplified to (* (* PI n) 2) 50.017 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 50.017 * * * [progress]: adding candidates to table 52.212 * * [progress]: iteration 3 / 4 52.212 * * * [progress]: picking best candidate 52.247 * * * * [pick]: Picked # 52.247 * * * [progress]: localizing error 52.276 * * * [progress]: generating rewritten candidates 52.276 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 52.302 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 52.331 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 52.372 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 52.402 * * * [progress]: generating series expansions 52.402 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 52.403 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 52.403 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 52.403 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 52.403 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 52.403 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 52.403 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 52.403 * [taylor]: Taking taylor expansion of 1/4 in k 52.403 * [backup-simplify]: Simplify 1/4 into 1/4 52.403 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.403 * [taylor]: Taking taylor expansion of 1 in k 52.403 * [backup-simplify]: Simplify 1 into 1 52.403 * [taylor]: Taking taylor expansion of k in k 52.403 * [backup-simplify]: Simplify 0 into 0 52.403 * [backup-simplify]: Simplify 1 into 1 52.403 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 52.403 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 52.403 * [taylor]: Taking taylor expansion of 2 in k 52.403 * [backup-simplify]: Simplify 2 into 2 52.403 * [taylor]: Taking taylor expansion of (* n PI) in k 52.403 * [taylor]: Taking taylor expansion of n in k 52.403 * [backup-simplify]: Simplify n into n 52.403 * [taylor]: Taking taylor expansion of PI in k 52.403 * [backup-simplify]: Simplify PI into PI 52.403 * [backup-simplify]: Simplify (* n PI) into (* n PI) 52.403 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 52.403 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 52.404 * [backup-simplify]: Simplify (- 0) into 0 52.404 * [backup-simplify]: Simplify (+ 1 0) into 1 52.404 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 52.404 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 52.404 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 52.404 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 52.404 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 52.404 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 52.404 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 52.404 * [taylor]: Taking taylor expansion of 1/4 in n 52.404 * [backup-simplify]: Simplify 1/4 into 1/4 52.404 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.405 * [taylor]: Taking taylor expansion of 1 in n 52.405 * [backup-simplify]: Simplify 1 into 1 52.405 * [taylor]: Taking taylor expansion of k in n 52.405 * [backup-simplify]: Simplify k into k 52.405 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.405 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.405 * [taylor]: Taking taylor expansion of 2 in n 52.405 * [backup-simplify]: Simplify 2 into 2 52.405 * [taylor]: Taking taylor expansion of (* n PI) in n 52.405 * [taylor]: Taking taylor expansion of n in n 52.405 * [backup-simplify]: Simplify 0 into 0 52.405 * [backup-simplify]: Simplify 1 into 1 52.405 * [taylor]: Taking taylor expansion of PI in n 52.405 * [backup-simplify]: Simplify PI into PI 52.405 * [backup-simplify]: Simplify (* 0 PI) into 0 52.405 * [backup-simplify]: Simplify (* 2 0) into 0 52.406 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.407 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.408 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.408 * [backup-simplify]: Simplify (- k) into (- k) 52.408 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.408 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 52.409 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.410 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.410 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.410 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 52.410 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 52.410 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 52.410 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 52.410 * [taylor]: Taking taylor expansion of 1/4 in n 52.410 * [backup-simplify]: Simplify 1/4 into 1/4 52.410 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.410 * [taylor]: Taking taylor expansion of 1 in n 52.410 * [backup-simplify]: Simplify 1 into 1 52.410 * [taylor]: Taking taylor expansion of k in n 52.410 * [backup-simplify]: Simplify k into k 52.410 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.410 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.410 * [taylor]: Taking taylor expansion of 2 in n 52.410 * [backup-simplify]: Simplify 2 into 2 52.411 * [taylor]: Taking taylor expansion of (* n PI) in n 52.411 * [taylor]: Taking taylor expansion of n in n 52.411 * [backup-simplify]: Simplify 0 into 0 52.411 * [backup-simplify]: Simplify 1 into 1 52.411 * [taylor]: Taking taylor expansion of PI in n 52.411 * [backup-simplify]: Simplify PI into PI 52.411 * [backup-simplify]: Simplify (* 0 PI) into 0 52.411 * [backup-simplify]: Simplify (* 2 0) into 0 52.412 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.413 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.413 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.414 * [backup-simplify]: Simplify (- k) into (- k) 52.414 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.414 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 52.414 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.415 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.416 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.416 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 52.416 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 52.416 * [taylor]: Taking taylor expansion of 1/4 in k 52.416 * [backup-simplify]: Simplify 1/4 into 1/4 52.416 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 52.416 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.416 * [taylor]: Taking taylor expansion of 1 in k 52.416 * [backup-simplify]: Simplify 1 into 1 52.416 * [taylor]: Taking taylor expansion of k in k 52.416 * [backup-simplify]: Simplify 0 into 0 52.416 * [backup-simplify]: Simplify 1 into 1 52.416 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 52.416 * [taylor]: Taking taylor expansion of (log n) in k 52.416 * [taylor]: Taking taylor expansion of n in k 52.416 * [backup-simplify]: Simplify n into n 52.416 * [backup-simplify]: Simplify (log n) into (log n) 52.416 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.416 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.416 * [taylor]: Taking taylor expansion of 2 in k 52.416 * [backup-simplify]: Simplify 2 into 2 52.416 * [taylor]: Taking taylor expansion of PI in k 52.416 * [backup-simplify]: Simplify PI into PI 52.416 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.417 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.417 * [backup-simplify]: Simplify (- 0) into 0 52.418 * [backup-simplify]: Simplify (+ 1 0) into 1 52.418 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.419 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 52.420 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 52.420 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 52.421 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 52.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 52.422 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 52.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.425 * [backup-simplify]: Simplify (- 0) into 0 52.425 * [backup-simplify]: Simplify (+ 0 0) into 0 52.426 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 52.427 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.428 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 52.430 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.430 * [taylor]: Taking taylor expansion of 0 in k 52.430 * [backup-simplify]: Simplify 0 into 0 52.430 * [backup-simplify]: Simplify 0 into 0 52.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 52.431 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.432 * [backup-simplify]: Simplify (+ 0 0) into 0 52.433 * [backup-simplify]: Simplify (- 1) into -1 52.433 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.434 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 52.435 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 52.437 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 52.439 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 52.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 52.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 52.442 * [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 52.442 * [backup-simplify]: Simplify (- 0) into 0 52.443 * [backup-simplify]: Simplify (+ 0 0) into 0 52.443 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 52.444 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.445 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.446 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.447 * [taylor]: Taking taylor expansion of 0 in k 52.447 * [backup-simplify]: Simplify 0 into 0 52.447 * [backup-simplify]: Simplify 0 into 0 52.447 * [backup-simplify]: Simplify 0 into 0 52.448 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 52.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.450 * [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 52.450 * [backup-simplify]: Simplify (+ 0 0) into 0 52.451 * [backup-simplify]: Simplify (- 0) into 0 52.451 * [backup-simplify]: Simplify (+ 0 0) into 0 52.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.454 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.456 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 52.460 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 52.469 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 52.470 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 52.470 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 52.470 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 52.470 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 52.470 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 52.470 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 52.470 * [taylor]: Taking taylor expansion of 1/4 in k 52.470 * [backup-simplify]: Simplify 1/4 into 1/4 52.470 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.470 * [taylor]: Taking taylor expansion of 1 in k 52.470 * [backup-simplify]: Simplify 1 into 1 52.470 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.470 * [taylor]: Taking taylor expansion of k in k 52.470 * [backup-simplify]: Simplify 0 into 0 52.470 * [backup-simplify]: Simplify 1 into 1 52.470 * [backup-simplify]: Simplify (/ 1 1) into 1 52.471 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 52.471 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 52.471 * [taylor]: Taking taylor expansion of 2 in k 52.471 * [backup-simplify]: Simplify 2 into 2 52.471 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.471 * [taylor]: Taking taylor expansion of PI in k 52.471 * [backup-simplify]: Simplify PI into PI 52.471 * [taylor]: Taking taylor expansion of n in k 52.471 * [backup-simplify]: Simplify n into n 52.471 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.471 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 52.471 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 52.471 * [backup-simplify]: Simplify (- 1) into -1 52.472 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.472 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 52.472 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 52.473 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 52.473 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 52.473 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.473 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.473 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 52.473 * [taylor]: Taking taylor expansion of 1/4 in n 52.473 * [backup-simplify]: Simplify 1/4 into 1/4 52.473 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.473 * [taylor]: Taking taylor expansion of 1 in n 52.473 * [backup-simplify]: Simplify 1 into 1 52.473 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.473 * [taylor]: Taking taylor expansion of k in n 52.473 * [backup-simplify]: Simplify k into k 52.473 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.473 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.473 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.473 * [taylor]: Taking taylor expansion of 2 in n 52.473 * [backup-simplify]: Simplify 2 into 2 52.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.473 * [taylor]: Taking taylor expansion of PI in n 52.473 * [backup-simplify]: Simplify PI into PI 52.473 * [taylor]: Taking taylor expansion of n in n 52.473 * [backup-simplify]: Simplify 0 into 0 52.473 * [backup-simplify]: Simplify 1 into 1 52.474 * [backup-simplify]: Simplify (/ PI 1) into PI 52.474 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.475 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.475 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.475 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.475 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 52.477 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.478 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.479 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.479 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 52.479 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.479 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.479 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 52.479 * [taylor]: Taking taylor expansion of 1/4 in n 52.479 * [backup-simplify]: Simplify 1/4 into 1/4 52.479 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.479 * [taylor]: Taking taylor expansion of 1 in n 52.480 * [backup-simplify]: Simplify 1 into 1 52.480 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.480 * [taylor]: Taking taylor expansion of k in n 52.480 * [backup-simplify]: Simplify k into k 52.480 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.480 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.480 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.480 * [taylor]: Taking taylor expansion of 2 in n 52.480 * [backup-simplify]: Simplify 2 into 2 52.480 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.480 * [taylor]: Taking taylor expansion of PI in n 52.480 * [backup-simplify]: Simplify PI into PI 52.480 * [taylor]: Taking taylor expansion of n in n 52.480 * [backup-simplify]: Simplify 0 into 0 52.480 * [backup-simplify]: Simplify 1 into 1 52.481 * [backup-simplify]: Simplify (/ PI 1) into PI 52.481 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.482 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.482 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.482 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.482 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 52.484 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.485 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.486 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.486 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 52.486 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 52.486 * [taylor]: Taking taylor expansion of 1/4 in k 52.486 * [backup-simplify]: Simplify 1/4 into 1/4 52.486 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 52.486 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.486 * [taylor]: Taking taylor expansion of 1 in k 52.486 * [backup-simplify]: Simplify 1 into 1 52.486 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.486 * [taylor]: Taking taylor expansion of k in k 52.486 * [backup-simplify]: Simplify 0 into 0 52.486 * [backup-simplify]: Simplify 1 into 1 52.486 * [backup-simplify]: Simplify (/ 1 1) into 1 52.486 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 52.486 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.486 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.486 * [taylor]: Taking taylor expansion of 2 in k 52.486 * [backup-simplify]: Simplify 2 into 2 52.487 * [taylor]: Taking taylor expansion of PI in k 52.487 * [backup-simplify]: Simplify PI into PI 52.487 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.487 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.487 * [taylor]: Taking taylor expansion of (log n) in k 52.487 * [taylor]: Taking taylor expansion of n in k 52.487 * [backup-simplify]: Simplify n into n 52.487 * [backup-simplify]: Simplify (log n) into (log n) 52.488 * [backup-simplify]: Simplify (- 1) into -1 52.488 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.488 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.489 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 52.489 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 52.490 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 52.491 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.491 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.492 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.493 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.494 * [backup-simplify]: Simplify (- 0) into 0 52.494 * [backup-simplify]: Simplify (+ 0 0) into 0 52.494 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 52.495 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.496 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 52.497 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.497 * [taylor]: Taking taylor expansion of 0 in k 52.497 * [backup-simplify]: Simplify 0 into 0 52.497 * [backup-simplify]: Simplify 0 into 0 52.497 * [backup-simplify]: Simplify 0 into 0 52.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.498 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.504 * [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 52.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.506 * [backup-simplify]: Simplify (- 0) into 0 52.506 * [backup-simplify]: Simplify (+ 0 0) into 0 52.506 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 52.507 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.508 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 52.510 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.510 * [taylor]: Taking taylor expansion of 0 in k 52.510 * [backup-simplify]: Simplify 0 into 0 52.510 * [backup-simplify]: Simplify 0 into 0 52.510 * [backup-simplify]: Simplify 0 into 0 52.510 * [backup-simplify]: Simplify 0 into 0 52.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.511 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.514 * [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 52.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.515 * [backup-simplify]: Simplify (- 0) into 0 52.515 * [backup-simplify]: Simplify (+ 0 0) into 0 52.516 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 52.516 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.518 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 52.519 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 52.519 * [taylor]: Taking taylor expansion of 0 in k 52.519 * [backup-simplify]: Simplify 0 into 0 52.519 * [backup-simplify]: Simplify 0 into 0 52.520 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 52.520 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 52.520 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 52.521 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 52.521 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 52.521 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 52.521 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 52.521 * [taylor]: Taking taylor expansion of 1/4 in k 52.521 * [backup-simplify]: Simplify 1/4 into 1/4 52.521 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.521 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.521 * [taylor]: Taking taylor expansion of k in k 52.521 * [backup-simplify]: Simplify 0 into 0 52.521 * [backup-simplify]: Simplify 1 into 1 52.521 * [backup-simplify]: Simplify (/ 1 1) into 1 52.521 * [taylor]: Taking taylor expansion of 1 in k 52.521 * [backup-simplify]: Simplify 1 into 1 52.521 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 52.521 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 52.521 * [taylor]: Taking taylor expansion of -2 in k 52.521 * [backup-simplify]: Simplify -2 into -2 52.521 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.521 * [taylor]: Taking taylor expansion of PI in k 52.521 * [backup-simplify]: Simplify PI into PI 52.521 * [taylor]: Taking taylor expansion of n in k 52.521 * [backup-simplify]: Simplify n into n 52.521 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.521 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 52.521 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 52.522 * [backup-simplify]: Simplify (+ 1 0) into 1 52.522 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 52.522 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 52.522 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 52.522 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 52.522 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.522 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.522 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 52.522 * [taylor]: Taking taylor expansion of 1/4 in n 52.522 * [backup-simplify]: Simplify 1/4 into 1/4 52.522 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.522 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.522 * [taylor]: Taking taylor expansion of k in n 52.522 * [backup-simplify]: Simplify k into k 52.522 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.522 * [taylor]: Taking taylor expansion of 1 in n 52.522 * [backup-simplify]: Simplify 1 into 1 52.522 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.522 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.522 * [taylor]: Taking taylor expansion of -2 in n 52.522 * [backup-simplify]: Simplify -2 into -2 52.522 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.522 * [taylor]: Taking taylor expansion of PI in n 52.522 * [backup-simplify]: Simplify PI into PI 52.522 * [taylor]: Taking taylor expansion of n in n 52.522 * [backup-simplify]: Simplify 0 into 0 52.522 * [backup-simplify]: Simplify 1 into 1 52.523 * [backup-simplify]: Simplify (/ PI 1) into PI 52.523 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.524 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.524 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.524 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 52.525 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.525 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.526 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.526 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 52.526 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.526 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.526 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 52.526 * [taylor]: Taking taylor expansion of 1/4 in n 52.526 * [backup-simplify]: Simplify 1/4 into 1/4 52.526 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.526 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.526 * [taylor]: Taking taylor expansion of k in n 52.526 * [backup-simplify]: Simplify k into k 52.526 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.526 * [taylor]: Taking taylor expansion of 1 in n 52.526 * [backup-simplify]: Simplify 1 into 1 52.526 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.526 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.526 * [taylor]: Taking taylor expansion of -2 in n 52.526 * [backup-simplify]: Simplify -2 into -2 52.526 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.526 * [taylor]: Taking taylor expansion of PI in n 52.526 * [backup-simplify]: Simplify PI into PI 52.526 * [taylor]: Taking taylor expansion of n in n 52.526 * [backup-simplify]: Simplify 0 into 0 52.526 * [backup-simplify]: Simplify 1 into 1 52.527 * [backup-simplify]: Simplify (/ PI 1) into PI 52.527 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.527 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.528 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.528 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 52.528 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.529 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.530 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.530 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 52.530 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 52.530 * [taylor]: Taking taylor expansion of 1/4 in k 52.530 * [backup-simplify]: Simplify 1/4 into 1/4 52.530 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 52.530 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.530 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.530 * [taylor]: Taking taylor expansion of k in k 52.530 * [backup-simplify]: Simplify 0 into 0 52.530 * [backup-simplify]: Simplify 1 into 1 52.530 * [backup-simplify]: Simplify (/ 1 1) into 1 52.530 * [taylor]: Taking taylor expansion of 1 in k 52.530 * [backup-simplify]: Simplify 1 into 1 52.530 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 52.530 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 52.530 * [taylor]: Taking taylor expansion of (* -2 PI) in k 52.530 * [taylor]: Taking taylor expansion of -2 in k 52.530 * [backup-simplify]: Simplify -2 into -2 52.530 * [taylor]: Taking taylor expansion of PI in k 52.530 * [backup-simplify]: Simplify PI into PI 52.531 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.531 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.531 * [taylor]: Taking taylor expansion of (log n) in k 52.531 * [taylor]: Taking taylor expansion of n in k 52.531 * [backup-simplify]: Simplify n into n 52.531 * [backup-simplify]: Simplify (log n) into (log n) 52.532 * [backup-simplify]: Simplify (+ 1 0) into 1 52.532 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.532 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 52.533 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 52.533 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 52.534 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.535 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.537 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 52.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 52.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.539 * [backup-simplify]: Simplify (+ 0 0) into 0 52.540 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 52.541 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.542 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 52.544 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.544 * [taylor]: Taking taylor expansion of 0 in k 52.544 * [backup-simplify]: Simplify 0 into 0 52.544 * [backup-simplify]: Simplify 0 into 0 52.544 * [backup-simplify]: Simplify 0 into 0 52.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.546 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 52.549 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 52.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.550 * [backup-simplify]: Simplify (+ 0 0) into 0 52.551 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 52.552 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.554 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 52.556 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.557 * [taylor]: Taking taylor expansion of 0 in k 52.557 * [backup-simplify]: Simplify 0 into 0 52.557 * [backup-simplify]: Simplify 0 into 0 52.557 * [backup-simplify]: Simplify 0 into 0 52.557 * [backup-simplify]: Simplify 0 into 0 52.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.559 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.565 * [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 52.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.566 * [backup-simplify]: Simplify (+ 0 0) into 0 52.567 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 52.568 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.570 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 52.573 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 52.573 * [taylor]: Taking taylor expansion of 0 in k 52.573 * [backup-simplify]: Simplify 0 into 0 52.573 * [backup-simplify]: Simplify 0 into 0 52.574 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 52.574 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 52.575 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 52.575 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 52.575 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 52.575 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 52.575 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 52.575 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 52.575 * [taylor]: Taking taylor expansion of 1/4 in k 52.575 * [backup-simplify]: Simplify 1/4 into 1/4 52.575 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.575 * [taylor]: Taking taylor expansion of 1 in k 52.575 * [backup-simplify]: Simplify 1 into 1 52.575 * [taylor]: Taking taylor expansion of k in k 52.575 * [backup-simplify]: Simplify 0 into 0 52.575 * [backup-simplify]: Simplify 1 into 1 52.575 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 52.575 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 52.575 * [taylor]: Taking taylor expansion of 2 in k 52.575 * [backup-simplify]: Simplify 2 into 2 52.576 * [taylor]: Taking taylor expansion of (* n PI) in k 52.576 * [taylor]: Taking taylor expansion of n in k 52.576 * [backup-simplify]: Simplify n into n 52.576 * [taylor]: Taking taylor expansion of PI in k 52.576 * [backup-simplify]: Simplify PI into PI 52.576 * [backup-simplify]: Simplify (* n PI) into (* n PI) 52.576 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 52.576 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 52.576 * [backup-simplify]: Simplify (- 0) into 0 52.577 * [backup-simplify]: Simplify (+ 1 0) into 1 52.577 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 52.577 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 52.577 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 52.577 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 52.577 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 52.577 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 52.578 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 52.578 * [taylor]: Taking taylor expansion of 1/4 in n 52.578 * [backup-simplify]: Simplify 1/4 into 1/4 52.578 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.578 * [taylor]: Taking taylor expansion of 1 in n 52.578 * [backup-simplify]: Simplify 1 into 1 52.578 * [taylor]: Taking taylor expansion of k in n 52.578 * [backup-simplify]: Simplify k into k 52.578 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.578 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.578 * [taylor]: Taking taylor expansion of 2 in n 52.578 * [backup-simplify]: Simplify 2 into 2 52.578 * [taylor]: Taking taylor expansion of (* n PI) in n 52.578 * [taylor]: Taking taylor expansion of n in n 52.578 * [backup-simplify]: Simplify 0 into 0 52.578 * [backup-simplify]: Simplify 1 into 1 52.578 * [taylor]: Taking taylor expansion of PI in n 52.578 * [backup-simplify]: Simplify PI into PI 52.579 * [backup-simplify]: Simplify (* 0 PI) into 0 52.579 * [backup-simplify]: Simplify (* 2 0) into 0 52.581 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.582 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.583 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.583 * [backup-simplify]: Simplify (- k) into (- k) 52.583 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.583 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 52.585 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.586 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.587 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.587 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 52.587 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 52.587 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 52.587 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 52.587 * [taylor]: Taking taylor expansion of 1/4 in n 52.587 * [backup-simplify]: Simplify 1/4 into 1/4 52.587 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.587 * [taylor]: Taking taylor expansion of 1 in n 52.587 * [backup-simplify]: Simplify 1 into 1 52.587 * [taylor]: Taking taylor expansion of k in n 52.587 * [backup-simplify]: Simplify k into k 52.587 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.587 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.587 * [taylor]: Taking taylor expansion of 2 in n 52.587 * [backup-simplify]: Simplify 2 into 2 52.587 * [taylor]: Taking taylor expansion of (* n PI) in n 52.587 * [taylor]: Taking taylor expansion of n in n 52.587 * [backup-simplify]: Simplify 0 into 0 52.587 * [backup-simplify]: Simplify 1 into 1 52.587 * [taylor]: Taking taylor expansion of PI in n 52.587 * [backup-simplify]: Simplify PI into PI 52.588 * [backup-simplify]: Simplify (* 0 PI) into 0 52.588 * [backup-simplify]: Simplify (* 2 0) into 0 52.590 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.591 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.592 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.592 * [backup-simplify]: Simplify (- k) into (- k) 52.592 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.592 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 52.594 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.595 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.596 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.596 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 52.596 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 52.596 * [taylor]: Taking taylor expansion of 1/4 in k 52.596 * [backup-simplify]: Simplify 1/4 into 1/4 52.596 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 52.596 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.596 * [taylor]: Taking taylor expansion of 1 in k 52.596 * [backup-simplify]: Simplify 1 into 1 52.596 * [taylor]: Taking taylor expansion of k in k 52.596 * [backup-simplify]: Simplify 0 into 0 52.596 * [backup-simplify]: Simplify 1 into 1 52.596 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 52.596 * [taylor]: Taking taylor expansion of (log n) in k 52.596 * [taylor]: Taking taylor expansion of n in k 52.596 * [backup-simplify]: Simplify n into n 52.596 * [backup-simplify]: Simplify (log n) into (log n) 52.596 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.596 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.596 * [taylor]: Taking taylor expansion of 2 in k 52.596 * [backup-simplify]: Simplify 2 into 2 52.596 * [taylor]: Taking taylor expansion of PI in k 52.596 * [backup-simplify]: Simplify PI into PI 52.597 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.598 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.598 * [backup-simplify]: Simplify (- 0) into 0 52.599 * [backup-simplify]: Simplify (+ 1 0) into 1 52.600 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.601 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 52.602 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 52.603 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 52.604 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 52.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 52.607 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 52.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.609 * [backup-simplify]: Simplify (- 0) into 0 52.609 * [backup-simplify]: Simplify (+ 0 0) into 0 52.610 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 52.611 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.613 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 52.614 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.614 * [taylor]: Taking taylor expansion of 0 in k 52.614 * [backup-simplify]: Simplify 0 into 0 52.615 * [backup-simplify]: Simplify 0 into 0 52.615 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 52.616 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.618 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.618 * [backup-simplify]: Simplify (+ 0 0) into 0 52.619 * [backup-simplify]: Simplify (- 1) into -1 52.619 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.621 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 52.623 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 52.626 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 52.632 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 52.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 52.634 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 52.635 * [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 52.636 * [backup-simplify]: Simplify (- 0) into 0 52.636 * [backup-simplify]: Simplify (+ 0 0) into 0 52.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 52.637 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.638 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.640 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.640 * [taylor]: Taking taylor expansion of 0 in k 52.640 * [backup-simplify]: Simplify 0 into 0 52.640 * [backup-simplify]: Simplify 0 into 0 52.640 * [backup-simplify]: Simplify 0 into 0 52.641 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 52.641 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.643 * [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 52.643 * [backup-simplify]: Simplify (+ 0 0) into 0 52.644 * [backup-simplify]: Simplify (- 0) into 0 52.644 * [backup-simplify]: Simplify (+ 0 0) into 0 52.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.647 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.649 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 52.652 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 52.659 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 52.660 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 52.660 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 52.660 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 52.660 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 52.660 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 52.660 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 52.660 * [taylor]: Taking taylor expansion of 1/4 in k 52.660 * [backup-simplify]: Simplify 1/4 into 1/4 52.660 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.660 * [taylor]: Taking taylor expansion of 1 in k 52.660 * [backup-simplify]: Simplify 1 into 1 52.660 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.660 * [taylor]: Taking taylor expansion of k in k 52.660 * [backup-simplify]: Simplify 0 into 0 52.660 * [backup-simplify]: Simplify 1 into 1 52.661 * [backup-simplify]: Simplify (/ 1 1) into 1 52.661 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 52.661 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 52.661 * [taylor]: Taking taylor expansion of 2 in k 52.661 * [backup-simplify]: Simplify 2 into 2 52.661 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.661 * [taylor]: Taking taylor expansion of PI in k 52.661 * [backup-simplify]: Simplify PI into PI 52.661 * [taylor]: Taking taylor expansion of n in k 52.661 * [backup-simplify]: Simplify n into n 52.661 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.661 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 52.661 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 52.662 * [backup-simplify]: Simplify (- 1) into -1 52.662 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.662 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 52.663 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 52.663 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 52.663 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 52.663 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.663 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.663 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 52.663 * [taylor]: Taking taylor expansion of 1/4 in n 52.663 * [backup-simplify]: Simplify 1/4 into 1/4 52.663 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.663 * [taylor]: Taking taylor expansion of 1 in n 52.663 * [backup-simplify]: Simplify 1 into 1 52.663 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.663 * [taylor]: Taking taylor expansion of k in n 52.663 * [backup-simplify]: Simplify k into k 52.663 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.663 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.663 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.663 * [taylor]: Taking taylor expansion of 2 in n 52.663 * [backup-simplify]: Simplify 2 into 2 52.663 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.663 * [taylor]: Taking taylor expansion of PI in n 52.663 * [backup-simplify]: Simplify PI into PI 52.663 * [taylor]: Taking taylor expansion of n in n 52.663 * [backup-simplify]: Simplify 0 into 0 52.663 * [backup-simplify]: Simplify 1 into 1 52.664 * [backup-simplify]: Simplify (/ PI 1) into PI 52.664 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.665 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.665 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.665 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.666 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 52.668 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.669 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.670 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.670 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 52.670 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.670 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.670 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 52.670 * [taylor]: Taking taylor expansion of 1/4 in n 52.670 * [backup-simplify]: Simplify 1/4 into 1/4 52.670 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.670 * [taylor]: Taking taylor expansion of 1 in n 52.670 * [backup-simplify]: Simplify 1 into 1 52.670 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.670 * [taylor]: Taking taylor expansion of k in n 52.670 * [backup-simplify]: Simplify k into k 52.670 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.670 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.670 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.670 * [taylor]: Taking taylor expansion of 2 in n 52.670 * [backup-simplify]: Simplify 2 into 2 52.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.670 * [taylor]: Taking taylor expansion of PI in n 52.670 * [backup-simplify]: Simplify PI into PI 52.670 * [taylor]: Taking taylor expansion of n in n 52.670 * [backup-simplify]: Simplify 0 into 0 52.670 * [backup-simplify]: Simplify 1 into 1 52.671 * [backup-simplify]: Simplify (/ PI 1) into PI 52.671 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.672 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.672 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.673 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.673 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 52.674 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.675 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.676 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.677 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 52.677 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 52.677 * [taylor]: Taking taylor expansion of 1/4 in k 52.677 * [backup-simplify]: Simplify 1/4 into 1/4 52.677 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 52.677 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.677 * [taylor]: Taking taylor expansion of 1 in k 52.677 * [backup-simplify]: Simplify 1 into 1 52.677 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.677 * [taylor]: Taking taylor expansion of k in k 52.677 * [backup-simplify]: Simplify 0 into 0 52.677 * [backup-simplify]: Simplify 1 into 1 52.677 * [backup-simplify]: Simplify (/ 1 1) into 1 52.677 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 52.677 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.677 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.677 * [taylor]: Taking taylor expansion of 2 in k 52.677 * [backup-simplify]: Simplify 2 into 2 52.677 * [taylor]: Taking taylor expansion of PI in k 52.677 * [backup-simplify]: Simplify PI into PI 52.678 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.679 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.679 * [taylor]: Taking taylor expansion of (log n) in k 52.679 * [taylor]: Taking taylor expansion of n in k 52.679 * [backup-simplify]: Simplify n into n 52.679 * [backup-simplify]: Simplify (log n) into (log n) 52.680 * [backup-simplify]: Simplify (- 1) into -1 52.680 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.680 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.681 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 52.682 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 52.683 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 52.684 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.686 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.688 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.690 * [backup-simplify]: Simplify (- 0) into 0 52.690 * [backup-simplify]: Simplify (+ 0 0) into 0 52.691 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 52.692 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.693 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 52.695 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.695 * [taylor]: Taking taylor expansion of 0 in k 52.695 * [backup-simplify]: Simplify 0 into 0 52.695 * [backup-simplify]: Simplify 0 into 0 52.696 * [backup-simplify]: Simplify 0 into 0 52.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.698 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.701 * [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 52.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.702 * [backup-simplify]: Simplify (- 0) into 0 52.702 * [backup-simplify]: Simplify (+ 0 0) into 0 52.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 52.704 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.706 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 52.708 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.708 * [taylor]: Taking taylor expansion of 0 in k 52.708 * [backup-simplify]: Simplify 0 into 0 52.708 * [backup-simplify]: Simplify 0 into 0 52.708 * [backup-simplify]: Simplify 0 into 0 52.709 * [backup-simplify]: Simplify 0 into 0 52.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.711 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.717 * [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 52.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.718 * [backup-simplify]: Simplify (- 0) into 0 52.718 * [backup-simplify]: Simplify (+ 0 0) into 0 52.719 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 52.721 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.723 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 52.725 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 52.725 * [taylor]: Taking taylor expansion of 0 in k 52.726 * [backup-simplify]: Simplify 0 into 0 52.726 * [backup-simplify]: Simplify 0 into 0 52.727 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 52.728 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 52.728 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 52.728 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 52.728 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 52.728 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 52.728 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 52.728 * [taylor]: Taking taylor expansion of 1/4 in k 52.728 * [backup-simplify]: Simplify 1/4 into 1/4 52.728 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.728 * [taylor]: Taking taylor expansion of k in k 52.728 * [backup-simplify]: Simplify 0 into 0 52.728 * [backup-simplify]: Simplify 1 into 1 52.729 * [backup-simplify]: Simplify (/ 1 1) into 1 52.729 * [taylor]: Taking taylor expansion of 1 in k 52.729 * [backup-simplify]: Simplify 1 into 1 52.729 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 52.729 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 52.729 * [taylor]: Taking taylor expansion of -2 in k 52.729 * [backup-simplify]: Simplify -2 into -2 52.729 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.729 * [taylor]: Taking taylor expansion of PI in k 52.729 * [backup-simplify]: Simplify PI into PI 52.729 * [taylor]: Taking taylor expansion of n in k 52.729 * [backup-simplify]: Simplify n into n 52.729 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.729 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 52.729 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 52.730 * [backup-simplify]: Simplify (+ 1 0) into 1 52.730 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 52.730 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 52.730 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 52.730 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 52.730 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.730 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.731 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 52.731 * [taylor]: Taking taylor expansion of 1/4 in n 52.731 * [backup-simplify]: Simplify 1/4 into 1/4 52.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.731 * [taylor]: Taking taylor expansion of k in n 52.731 * [backup-simplify]: Simplify k into k 52.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.731 * [taylor]: Taking taylor expansion of 1 in n 52.731 * [backup-simplify]: Simplify 1 into 1 52.731 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.731 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.731 * [taylor]: Taking taylor expansion of -2 in n 52.731 * [backup-simplify]: Simplify -2 into -2 52.731 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.731 * [taylor]: Taking taylor expansion of PI in n 52.731 * [backup-simplify]: Simplify PI into PI 52.731 * [taylor]: Taking taylor expansion of n in n 52.731 * [backup-simplify]: Simplify 0 into 0 52.731 * [backup-simplify]: Simplify 1 into 1 52.732 * [backup-simplify]: Simplify (/ PI 1) into PI 52.732 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.733 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.733 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.733 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 52.735 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.736 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.737 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.737 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 52.737 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.737 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.737 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 52.737 * [taylor]: Taking taylor expansion of 1/4 in n 52.737 * [backup-simplify]: Simplify 1/4 into 1/4 52.737 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.737 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.737 * [taylor]: Taking taylor expansion of k in n 52.737 * [backup-simplify]: Simplify k into k 52.738 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.738 * [taylor]: Taking taylor expansion of 1 in n 52.738 * [backup-simplify]: Simplify 1 into 1 52.738 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.738 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.738 * [taylor]: Taking taylor expansion of -2 in n 52.738 * [backup-simplify]: Simplify -2 into -2 52.738 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.738 * [taylor]: Taking taylor expansion of PI in n 52.738 * [backup-simplify]: Simplify PI into PI 52.738 * [taylor]: Taking taylor expansion of n in n 52.738 * [backup-simplify]: Simplify 0 into 0 52.738 * [backup-simplify]: Simplify 1 into 1 52.738 * [backup-simplify]: Simplify (/ PI 1) into PI 52.739 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.740 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.740 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.740 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 52.741 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.742 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.744 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.744 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 52.744 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 52.744 * [taylor]: Taking taylor expansion of 1/4 in k 52.744 * [backup-simplify]: Simplify 1/4 into 1/4 52.744 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 52.744 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.744 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.744 * [taylor]: Taking taylor expansion of k in k 52.744 * [backup-simplify]: Simplify 0 into 0 52.744 * [backup-simplify]: Simplify 1 into 1 52.744 * [backup-simplify]: Simplify (/ 1 1) into 1 52.744 * [taylor]: Taking taylor expansion of 1 in k 52.744 * [backup-simplify]: Simplify 1 into 1 52.744 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 52.744 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 52.744 * [taylor]: Taking taylor expansion of (* -2 PI) in k 52.744 * [taylor]: Taking taylor expansion of -2 in k 52.744 * [backup-simplify]: Simplify -2 into -2 52.745 * [taylor]: Taking taylor expansion of PI in k 52.745 * [backup-simplify]: Simplify PI into PI 52.745 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.746 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.746 * [taylor]: Taking taylor expansion of (log n) in k 52.746 * [taylor]: Taking taylor expansion of n in k 52.746 * [backup-simplify]: Simplify n into n 52.746 * [backup-simplify]: Simplify (log n) into (log n) 52.747 * [backup-simplify]: Simplify (+ 1 0) into 1 52.747 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.748 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 52.749 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 52.750 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 52.751 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.752 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.754 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 52.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 52.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.756 * [backup-simplify]: Simplify (+ 0 0) into 0 52.757 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 52.758 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.759 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 52.766 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.766 * [taylor]: Taking taylor expansion of 0 in k 52.766 * [backup-simplify]: Simplify 0 into 0 52.766 * [backup-simplify]: Simplify 0 into 0 52.767 * [backup-simplify]: Simplify 0 into 0 52.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.769 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 52.772 * [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 52.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.773 * [backup-simplify]: Simplify (+ 0 0) into 0 52.774 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 52.775 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.777 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 52.780 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.780 * [taylor]: Taking taylor expansion of 0 in k 52.780 * [backup-simplify]: Simplify 0 into 0 52.780 * [backup-simplify]: Simplify 0 into 0 52.780 * [backup-simplify]: Simplify 0 into 0 52.780 * [backup-simplify]: Simplify 0 into 0 52.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.782 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.785 * [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 52.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.786 * [backup-simplify]: Simplify (+ 0 0) into 0 52.787 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 52.787 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.789 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 52.790 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 52.790 * [taylor]: Taking taylor expansion of 0 in k 52.790 * [backup-simplify]: Simplify 0 into 0 52.790 * [backup-simplify]: Simplify 0 into 0 52.791 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 52.791 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 52.792 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) into (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) 52.792 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in (n k) around 0 52.792 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in k 52.792 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 52.792 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 52.792 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 52.792 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 52.792 * [taylor]: Taking taylor expansion of 1/4 in k 52.792 * [backup-simplify]: Simplify 1/4 into 1/4 52.792 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.792 * [taylor]: Taking taylor expansion of 1 in k 52.792 * [backup-simplify]: Simplify 1 into 1 52.792 * [taylor]: Taking taylor expansion of k in k 52.792 * [backup-simplify]: Simplify 0 into 0 52.792 * [backup-simplify]: Simplify 1 into 1 52.792 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 52.792 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 52.792 * [taylor]: Taking taylor expansion of 2 in k 52.792 * [backup-simplify]: Simplify 2 into 2 52.792 * [taylor]: Taking taylor expansion of (* n PI) in k 52.792 * [taylor]: Taking taylor expansion of n in k 52.792 * [backup-simplify]: Simplify n into n 52.792 * [taylor]: Taking taylor expansion of PI in k 52.792 * [backup-simplify]: Simplify PI into PI 52.792 * [backup-simplify]: Simplify (* n PI) into (* n PI) 52.792 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 52.792 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 52.792 * [backup-simplify]: Simplify (- 0) into 0 52.793 * [backup-simplify]: Simplify (+ 1 0) into 1 52.793 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 52.793 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 52.793 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 52.793 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in n 52.793 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 52.793 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 52.793 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 52.793 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 52.793 * [taylor]: Taking taylor expansion of 1/4 in n 52.793 * [backup-simplify]: Simplify 1/4 into 1/4 52.793 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.793 * [taylor]: Taking taylor expansion of 1 in n 52.793 * [backup-simplify]: Simplify 1 into 1 52.793 * [taylor]: Taking taylor expansion of k in n 52.793 * [backup-simplify]: Simplify k into k 52.793 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.793 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.793 * [taylor]: Taking taylor expansion of 2 in n 52.793 * [backup-simplify]: Simplify 2 into 2 52.793 * [taylor]: Taking taylor expansion of (* n PI) in n 52.793 * [taylor]: Taking taylor expansion of n in n 52.793 * [backup-simplify]: Simplify 0 into 0 52.793 * [backup-simplify]: Simplify 1 into 1 52.793 * [taylor]: Taking taylor expansion of PI in n 52.794 * [backup-simplify]: Simplify PI into PI 52.794 * [backup-simplify]: Simplify (* 0 PI) into 0 52.794 * [backup-simplify]: Simplify (* 2 0) into 0 52.795 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.796 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.797 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.797 * [backup-simplify]: Simplify (- k) into (- k) 52.797 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.797 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 52.798 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.798 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.799 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.799 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in n 52.799 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 52.799 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 52.799 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 52.799 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 52.799 * [taylor]: Taking taylor expansion of 1/4 in n 52.799 * [backup-simplify]: Simplify 1/4 into 1/4 52.799 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.799 * [taylor]: Taking taylor expansion of 1 in n 52.799 * [backup-simplify]: Simplify 1 into 1 52.799 * [taylor]: Taking taylor expansion of k in n 52.799 * [backup-simplify]: Simplify k into k 52.799 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.800 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.800 * [taylor]: Taking taylor expansion of 2 in n 52.800 * [backup-simplify]: Simplify 2 into 2 52.800 * [taylor]: Taking taylor expansion of (* n PI) in n 52.800 * [taylor]: Taking taylor expansion of n in n 52.800 * [backup-simplify]: Simplify 0 into 0 52.800 * [backup-simplify]: Simplify 1 into 1 52.800 * [taylor]: Taking taylor expansion of PI in n 52.800 * [backup-simplify]: Simplify PI into PI 52.800 * [backup-simplify]: Simplify (* 0 PI) into 0 52.800 * [backup-simplify]: Simplify (* 2 0) into 0 52.801 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.802 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.803 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.803 * [backup-simplify]: Simplify (- k) into (- k) 52.803 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.803 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 52.804 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.804 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.805 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.806 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (pow (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 2) 52.806 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 2) in k 52.806 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 52.806 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 52.806 * [taylor]: Taking taylor expansion of 1/4 in k 52.806 * [backup-simplify]: Simplify 1/4 into 1/4 52.806 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 52.806 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.806 * [taylor]: Taking taylor expansion of 1 in k 52.806 * [backup-simplify]: Simplify 1 into 1 52.806 * [taylor]: Taking taylor expansion of k in k 52.806 * [backup-simplify]: Simplify 0 into 0 52.806 * [backup-simplify]: Simplify 1 into 1 52.806 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 52.806 * [taylor]: Taking taylor expansion of (log n) in k 52.806 * [taylor]: Taking taylor expansion of n in k 52.806 * [backup-simplify]: Simplify n into n 52.807 * [backup-simplify]: Simplify (log n) into (log n) 52.807 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.807 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.807 * [taylor]: Taking taylor expansion of 2 in k 52.807 * [backup-simplify]: Simplify 2 into 2 52.807 * [taylor]: Taking taylor expansion of PI in k 52.807 * [backup-simplify]: Simplify PI into PI 52.807 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.807 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.808 * [backup-simplify]: Simplify (- 0) into 0 52.808 * [backup-simplify]: Simplify (+ 1 0) into 1 52.809 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.809 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 52.810 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 52.811 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 52.813 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))) into (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) 52.814 * [backup-simplify]: Simplify (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) into (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) 52.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 52.816 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 52.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.818 * [backup-simplify]: Simplify (- 0) into 0 52.819 * [backup-simplify]: Simplify (+ 0 0) into 0 52.819 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 52.821 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.822 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 52.823 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.826 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))))) into 0 52.826 * [taylor]: Taking taylor expansion of 0 in k 52.826 * [backup-simplify]: Simplify 0 into 0 52.826 * [backup-simplify]: Simplify 0 into 0 52.827 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 52.827 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.830 * [backup-simplify]: Simplify (+ 0 0) into 0 52.830 * [backup-simplify]: Simplify (- 1) into -1 52.830 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.832 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 52.834 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 52.837 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 52.845 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))) (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) 52.848 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) into (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) 52.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 52.849 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 52.851 * [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 52.851 * [backup-simplify]: Simplify (- 0) into 0 52.852 * [backup-simplify]: Simplify (+ 0 0) into 0 52.852 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 52.853 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.854 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.855 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.857 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))))) into 0 52.857 * [taylor]: Taking taylor expansion of 0 in k 52.857 * [backup-simplify]: Simplify 0 into 0 52.857 * [backup-simplify]: Simplify 0 into 0 52.857 * [backup-simplify]: Simplify 0 into 0 52.858 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 52.858 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.860 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 52.861 * [backup-simplify]: Simplify (+ 0 0) into 0 52.861 * [backup-simplify]: Simplify (- 0) into 0 52.861 * [backup-simplify]: Simplify (+ 0 0) into 0 52.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.864 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.866 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 52.882 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))) (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))))) 52.886 * [backup-simplify]: Simplify (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))))) into (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))))) 52.893 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) (* k 1)) (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2))) into (- (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/4 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI)))))) (+ (* 1/8 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2)))) (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2)))) (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) k))))) 52.894 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2))) into (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) 52.894 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in (n k) around 0 52.894 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in k 52.894 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 52.894 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 52.894 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 52.894 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 52.894 * [taylor]: Taking taylor expansion of 1/4 in k 52.894 * [backup-simplify]: Simplify 1/4 into 1/4 52.894 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.894 * [taylor]: Taking taylor expansion of 1 in k 52.894 * [backup-simplify]: Simplify 1 into 1 52.894 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.894 * [taylor]: Taking taylor expansion of k in k 52.894 * [backup-simplify]: Simplify 0 into 0 52.894 * [backup-simplify]: Simplify 1 into 1 52.894 * [backup-simplify]: Simplify (/ 1 1) into 1 52.894 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 52.894 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 52.894 * [taylor]: Taking taylor expansion of 2 in k 52.894 * [backup-simplify]: Simplify 2 into 2 52.894 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.894 * [taylor]: Taking taylor expansion of PI in k 52.894 * [backup-simplify]: Simplify PI into PI 52.894 * [taylor]: Taking taylor expansion of n in k 52.894 * [backup-simplify]: Simplify n into n 52.894 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.895 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 52.895 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 52.895 * [backup-simplify]: Simplify (- 1) into -1 52.895 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.895 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 52.895 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 52.896 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 52.896 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in n 52.896 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 52.896 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.896 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.896 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 52.896 * [taylor]: Taking taylor expansion of 1/4 in n 52.896 * [backup-simplify]: Simplify 1/4 into 1/4 52.896 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.896 * [taylor]: Taking taylor expansion of 1 in n 52.896 * [backup-simplify]: Simplify 1 into 1 52.896 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.896 * [taylor]: Taking taylor expansion of k in n 52.896 * [backup-simplify]: Simplify k into k 52.896 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.896 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.896 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.896 * [taylor]: Taking taylor expansion of 2 in n 52.896 * [backup-simplify]: Simplify 2 into 2 52.896 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.896 * [taylor]: Taking taylor expansion of PI in n 52.896 * [backup-simplify]: Simplify PI into PI 52.896 * [taylor]: Taking taylor expansion of n in n 52.896 * [backup-simplify]: Simplify 0 into 0 52.896 * [backup-simplify]: Simplify 1 into 1 52.896 * [backup-simplify]: Simplify (/ PI 1) into PI 52.897 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.897 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.897 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.897 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.898 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 52.899 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.900 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.901 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.901 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in n 52.901 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 52.901 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.901 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.901 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 52.901 * [taylor]: Taking taylor expansion of 1/4 in n 52.901 * [backup-simplify]: Simplify 1/4 into 1/4 52.901 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.901 * [taylor]: Taking taylor expansion of 1 in n 52.901 * [backup-simplify]: Simplify 1 into 1 52.901 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.901 * [taylor]: Taking taylor expansion of k in n 52.901 * [backup-simplify]: Simplify k into k 52.901 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.901 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.901 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.901 * [taylor]: Taking taylor expansion of 2 in n 52.901 * [backup-simplify]: Simplify 2 into 2 52.901 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.901 * [taylor]: Taking taylor expansion of PI in n 52.902 * [backup-simplify]: Simplify PI into PI 52.902 * [taylor]: Taking taylor expansion of n in n 52.902 * [backup-simplify]: Simplify 0 into 0 52.902 * [backup-simplify]: Simplify 1 into 1 52.902 * [backup-simplify]: Simplify (/ PI 1) into PI 52.903 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.903 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.904 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.904 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.904 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 52.905 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.906 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.907 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.910 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) 52.910 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) in k 52.910 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 52.910 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 52.910 * [taylor]: Taking taylor expansion of 1/4 in k 52.910 * [backup-simplify]: Simplify 1/4 into 1/4 52.910 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 52.910 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.910 * [taylor]: Taking taylor expansion of 1 in k 52.911 * [backup-simplify]: Simplify 1 into 1 52.911 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.911 * [taylor]: Taking taylor expansion of k in k 52.911 * [backup-simplify]: Simplify 0 into 0 52.911 * [backup-simplify]: Simplify 1 into 1 52.911 * [backup-simplify]: Simplify (/ 1 1) into 1 52.911 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 52.911 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.911 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.911 * [taylor]: Taking taylor expansion of 2 in k 52.911 * [backup-simplify]: Simplify 2 into 2 52.911 * [taylor]: Taking taylor expansion of PI in k 52.911 * [backup-simplify]: Simplify PI into PI 52.912 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.913 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.913 * [taylor]: Taking taylor expansion of (log n) in k 52.913 * [taylor]: Taking taylor expansion of n in k 52.913 * [backup-simplify]: Simplify n into n 52.913 * [backup-simplify]: Simplify (log n) into (log n) 52.913 * [backup-simplify]: Simplify (- 1) into -1 52.914 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.914 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.915 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 52.916 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 52.917 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 52.918 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.920 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) 52.921 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) 52.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.923 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.926 * [backup-simplify]: Simplify (- 0) into 0 52.926 * [backup-simplify]: Simplify (+ 0 0) into 0 52.927 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 52.928 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.929 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 52.931 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.933 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 52.934 * [taylor]: Taking taylor expansion of 0 in k 52.934 * [backup-simplify]: Simplify 0 into 0 52.934 * [backup-simplify]: Simplify 0 into 0 52.936 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 52.936 * [backup-simplify]: Simplify 0 into 0 52.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.938 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.942 * [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 52.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.943 * [backup-simplify]: Simplify (- 0) into 0 52.943 * [backup-simplify]: Simplify (+ 0 0) into 0 52.944 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 52.945 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.947 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 52.949 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.952 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 52.952 * [taylor]: Taking taylor expansion of 0 in k 52.952 * [backup-simplify]: Simplify 0 into 0 52.952 * [backup-simplify]: Simplify 0 into 0 52.952 * [backup-simplify]: Simplify 0 into 0 52.955 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 52.955 * [backup-simplify]: Simplify 0 into 0 52.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.957 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.964 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 52.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.964 * [backup-simplify]: Simplify (- 0) into 0 52.965 * [backup-simplify]: Simplify (+ 0 0) into 0 52.966 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 52.968 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.969 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 52.972 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 52.975 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0 52.975 * [taylor]: Taking taylor expansion of 0 in k 52.975 * [backup-simplify]: Simplify 0 into 0 52.976 * [backup-simplify]: Simplify 0 into 0 52.977 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) 2) into (pow (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2) 52.978 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2))) into (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) 52.978 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in (n k) around 0 52.978 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in k 52.978 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 52.978 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 52.978 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 52.979 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 52.979 * [taylor]: Taking taylor expansion of 1/4 in k 52.979 * [backup-simplify]: Simplify 1/4 into 1/4 52.979 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.979 * [taylor]: Taking taylor expansion of k in k 52.979 * [backup-simplify]: Simplify 0 into 0 52.979 * [backup-simplify]: Simplify 1 into 1 52.979 * [backup-simplify]: Simplify (/ 1 1) into 1 52.979 * [taylor]: Taking taylor expansion of 1 in k 52.979 * [backup-simplify]: Simplify 1 into 1 52.979 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 52.979 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 52.979 * [taylor]: Taking taylor expansion of -2 in k 52.979 * [backup-simplify]: Simplify -2 into -2 52.979 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.979 * [taylor]: Taking taylor expansion of PI in k 52.979 * [backup-simplify]: Simplify PI into PI 52.979 * [taylor]: Taking taylor expansion of n in k 52.979 * [backup-simplify]: Simplify n into n 52.979 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.980 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 52.980 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 52.980 * [backup-simplify]: Simplify (+ 1 0) into 1 52.980 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 52.981 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 52.981 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 52.981 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in n 52.981 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 52.981 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.981 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.981 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 52.981 * [taylor]: Taking taylor expansion of 1/4 in n 52.981 * [backup-simplify]: Simplify 1/4 into 1/4 52.981 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.981 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.981 * [taylor]: Taking taylor expansion of k in n 52.981 * [backup-simplify]: Simplify k into k 52.981 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.981 * [taylor]: Taking taylor expansion of 1 in n 52.981 * [backup-simplify]: Simplify 1 into 1 52.981 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.981 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.981 * [taylor]: Taking taylor expansion of -2 in n 52.981 * [backup-simplify]: Simplify -2 into -2 52.981 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.981 * [taylor]: Taking taylor expansion of PI in n 52.981 * [backup-simplify]: Simplify PI into PI 52.981 * [taylor]: Taking taylor expansion of n in n 52.981 * [backup-simplify]: Simplify 0 into 0 52.981 * [backup-simplify]: Simplify 1 into 1 52.982 * [backup-simplify]: Simplify (/ PI 1) into PI 52.982 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.983 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.983 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.984 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 52.985 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.986 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.987 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.987 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in n 52.987 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 52.987 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.987 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.987 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 52.987 * [taylor]: Taking taylor expansion of 1/4 in n 52.987 * [backup-simplify]: Simplify 1/4 into 1/4 52.987 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.987 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.987 * [taylor]: Taking taylor expansion of k in n 52.988 * [backup-simplify]: Simplify k into k 52.988 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.988 * [taylor]: Taking taylor expansion of 1 in n 52.988 * [backup-simplify]: Simplify 1 into 1 52.988 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.988 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.988 * [taylor]: Taking taylor expansion of -2 in n 52.988 * [backup-simplify]: Simplify -2 into -2 52.988 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.988 * [taylor]: Taking taylor expansion of PI in n 52.988 * [backup-simplify]: Simplify PI into PI 52.988 * [taylor]: Taking taylor expansion of n in n 52.988 * [backup-simplify]: Simplify 0 into 0 52.988 * [backup-simplify]: Simplify 1 into 1 52.988 * [backup-simplify]: Simplify (/ PI 1) into PI 52.989 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.990 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.990 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.990 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 52.991 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.993 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.994 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.996 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) 52.996 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) in k 52.996 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 52.996 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 52.996 * [taylor]: Taking taylor expansion of 1/4 in k 52.996 * [backup-simplify]: Simplify 1/4 into 1/4 52.996 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 52.996 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.996 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.996 * [taylor]: Taking taylor expansion of k in k 52.996 * [backup-simplify]: Simplify 0 into 0 52.996 * [backup-simplify]: Simplify 1 into 1 52.997 * [backup-simplify]: Simplify (/ 1 1) into 1 52.997 * [taylor]: Taking taylor expansion of 1 in k 52.997 * [backup-simplify]: Simplify 1 into 1 52.997 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 52.997 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 52.997 * [taylor]: Taking taylor expansion of (* -2 PI) in k 52.997 * [taylor]: Taking taylor expansion of -2 in k 52.997 * [backup-simplify]: Simplify -2 into -2 52.997 * [taylor]: Taking taylor expansion of PI in k 52.997 * [backup-simplify]: Simplify PI into PI 52.997 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.998 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.998 * [taylor]: Taking taylor expansion of (log n) in k 52.998 * [taylor]: Taking taylor expansion of n in k 52.998 * [backup-simplify]: Simplify n into n 52.998 * [backup-simplify]: Simplify (log n) into (log n) 52.999 * [backup-simplify]: Simplify (+ 1 0) into 1 52.999 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 53.000 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 53.001 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 53.002 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 53.004 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 53.012 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) 53.013 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) 53.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.015 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 53.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 53.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.017 * [backup-simplify]: Simplify (+ 0 0) into 0 53.018 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 53.019 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.020 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 53.022 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.024 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 53.025 * [taylor]: Taking taylor expansion of 0 in k 53.025 * [backup-simplify]: Simplify 0 into 0 53.025 * [backup-simplify]: Simplify 0 into 0 53.026 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 53.027 * [backup-simplify]: Simplify 0 into 0 53.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.028 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 53.030 * [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 53.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.030 * [backup-simplify]: Simplify (+ 0 0) into 0 53.031 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 53.032 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.033 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 53.034 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.036 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0 53.036 * [taylor]: Taking taylor expansion of 0 in k 53.036 * [backup-simplify]: Simplify 0 into 0 53.036 * [backup-simplify]: Simplify 0 into 0 53.036 * [backup-simplify]: Simplify 0 into 0 53.037 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0 53.037 * [backup-simplify]: Simplify 0 into 0 53.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.039 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.042 * [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 53.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.043 * [backup-simplify]: Simplify (+ 0 0) into 0 53.043 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 53.044 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.045 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 53.047 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 53.049 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0 53.049 * [taylor]: Taking taylor expansion of 0 in k 53.049 * [backup-simplify]: Simplify 0 into 0 53.049 * [backup-simplify]: Simplify 0 into 0 53.050 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) 2) into (pow (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2) 53.050 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 53.050 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 53.050 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 53.050 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.050 * [taylor]: Taking taylor expansion of 2 in n 53.050 * [backup-simplify]: Simplify 2 into 2 53.050 * [taylor]: Taking taylor expansion of (* n PI) in n 53.050 * [taylor]: Taking taylor expansion of n in n 53.051 * [backup-simplify]: Simplify 0 into 0 53.051 * [backup-simplify]: Simplify 1 into 1 53.051 * [taylor]: Taking taylor expansion of PI in n 53.051 * [backup-simplify]: Simplify PI into PI 53.051 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.051 * [taylor]: Taking taylor expansion of 2 in n 53.051 * [backup-simplify]: Simplify 2 into 2 53.051 * [taylor]: Taking taylor expansion of (* n PI) in n 53.051 * [taylor]: Taking taylor expansion of n in n 53.051 * [backup-simplify]: Simplify 0 into 0 53.051 * [backup-simplify]: Simplify 1 into 1 53.051 * [taylor]: Taking taylor expansion of PI in n 53.051 * [backup-simplify]: Simplify PI into PI 53.051 * [backup-simplify]: Simplify (* 0 PI) into 0 53.051 * [backup-simplify]: Simplify (* 2 0) into 0 53.051 * [backup-simplify]: Simplify 0 into 0 53.052 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.053 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.053 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 53.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 53.055 * [backup-simplify]: Simplify 0 into 0 53.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 53.056 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 53.056 * [backup-simplify]: Simplify 0 into 0 53.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 53.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 53.057 * [backup-simplify]: Simplify 0 into 0 53.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 53.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 53.059 * [backup-simplify]: Simplify 0 into 0 53.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 53.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 53.061 * [backup-simplify]: Simplify 0 into 0 53.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 53.063 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 53.063 * [backup-simplify]: Simplify 0 into 0 53.063 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 53.064 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 53.064 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 53.064 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.064 * [taylor]: Taking taylor expansion of 2 in n 53.064 * [backup-simplify]: Simplify 2 into 2 53.064 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.064 * [taylor]: Taking taylor expansion of PI in n 53.064 * [backup-simplify]: Simplify PI into PI 53.064 * [taylor]: Taking taylor expansion of n in n 53.064 * [backup-simplify]: Simplify 0 into 0 53.064 * [backup-simplify]: Simplify 1 into 1 53.064 * [backup-simplify]: Simplify (/ PI 1) into PI 53.064 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.064 * [taylor]: Taking taylor expansion of 2 in n 53.064 * [backup-simplify]: Simplify 2 into 2 53.064 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.064 * [taylor]: Taking taylor expansion of PI in n 53.064 * [backup-simplify]: Simplify PI into PI 53.064 * [taylor]: Taking taylor expansion of n in n 53.064 * [backup-simplify]: Simplify 0 into 0 53.064 * [backup-simplify]: Simplify 1 into 1 53.065 * [backup-simplify]: Simplify (/ PI 1) into PI 53.065 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.065 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.066 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 53.066 * [backup-simplify]: Simplify 0 into 0 53.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.068 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 53.068 * [backup-simplify]: Simplify 0 into 0 53.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.069 * [backup-simplify]: Simplify 0 into 0 53.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.071 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 53.071 * [backup-simplify]: Simplify 0 into 0 53.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 53.072 * [backup-simplify]: Simplify 0 into 0 53.073 * [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 53.074 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 53.074 * [backup-simplify]: Simplify 0 into 0 53.074 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 53.075 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 53.075 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 53.075 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.075 * [taylor]: Taking taylor expansion of -2 in n 53.075 * [backup-simplify]: Simplify -2 into -2 53.075 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.075 * [taylor]: Taking taylor expansion of PI in n 53.075 * [backup-simplify]: Simplify PI into PI 53.075 * [taylor]: Taking taylor expansion of n in n 53.075 * [backup-simplify]: Simplify 0 into 0 53.075 * [backup-simplify]: Simplify 1 into 1 53.075 * [backup-simplify]: Simplify (/ PI 1) into PI 53.075 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.075 * [taylor]: Taking taylor expansion of -2 in n 53.075 * [backup-simplify]: Simplify -2 into -2 53.075 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.075 * [taylor]: Taking taylor expansion of PI in n 53.075 * [backup-simplify]: Simplify PI into PI 53.075 * [taylor]: Taking taylor expansion of n in n 53.075 * [backup-simplify]: Simplify 0 into 0 53.075 * [backup-simplify]: Simplify 1 into 1 53.076 * [backup-simplify]: Simplify (/ PI 1) into PI 53.077 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.077 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.079 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 53.079 * [backup-simplify]: Simplify 0 into 0 53.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.081 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 53.081 * [backup-simplify]: Simplify 0 into 0 53.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.083 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.083 * [backup-simplify]: Simplify 0 into 0 53.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.085 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 53.086 * [backup-simplify]: Simplify 0 into 0 53.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.087 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 53.087 * [backup-simplify]: Simplify 0 into 0 53.088 * [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 53.089 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 53.089 * [backup-simplify]: Simplify 0 into 0 53.089 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 53.089 * * * [progress]: simplifying candidates 53.089 * * * * [progress]: [ 1 / 276 ] simplifiying candidate # 53.089 * * * * [progress]: [ 2 / 276 ] simplifiying candidate # 53.089 * * * * [progress]: [ 3 / 276 ] simplifiying candidate # 53.090 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 53.090 * * [simplify]: iters left: 6 (14 enodes) 53.094 * * [simplify]: iters left: 5 (60 enodes) 53.106 * * [simplify]: iters left: 4 (108 enodes) 53.142 * * [simplify]: iters left: 3 (255 enodes) 53.249 * * [simplify]: Extracting #0: cost 1 inf + 0 53.249 * * [simplify]: Extracting #1: cost 34 inf + 0 53.249 * * [simplify]: Extracting #2: cost 122 inf + 73 53.250 * * [simplify]: Extracting #3: cost 134 inf + 2876 53.256 * * [simplify]: Extracting #4: cost 49 inf + 20493 53.268 * * [simplify]: Extracting #5: cost 4 inf + 30853 53.282 * * [simplify]: Extracting #6: cost 0 inf + 31808 53.295 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI))))) 53.295 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI))))))) (sqrt k))) 53.296 * * * * [progress]: [ 4 / 276 ] simplifiying candidate # 53.296 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 53.296 * * [simplify]: iters left: 6 (13 enodes) 53.305 * * [simplify]: iters left: 5 (58 enodes) 53.318 * * [simplify]: iters left: 4 (101 enodes) 53.341 * * [simplify]: iters left: 3 (211 enodes) 53.437 * * [simplify]: Extracting #0: cost 1 inf + 0 53.437 * * [simplify]: Extracting #1: cost 28 inf + 0 53.437 * * [simplify]: Extracting #2: cost 110 inf + 73 53.438 * * [simplify]: Extracting #3: cost 127 inf + 1744 53.440 * * [simplify]: Extracting #4: cost 73 inf + 10230 53.443 * * [simplify]: Extracting #5: cost 26 inf + 20266 53.448 * * [simplify]: Extracting #6: cost 6 inf + 24692 53.456 * * [simplify]: Extracting #7: cost 0 inf + 26084 53.462 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) 53.462 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))))) (sqrt k))) 53.462 * * * * [progress]: [ 5 / 276 ] simplifiying candidate # 53.462 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 53.462 * * [simplify]: iters left: 6 (12 enodes) 53.470 * * [simplify]: iters left: 5 (57 enodes) 53.490 * * [simplify]: iters left: 4 (111 enodes) 53.518 * * [simplify]: iters left: 3 (214 enodes) 53.592 * * [simplify]: iters left: 2 (472 enodes) 53.809 * * [simplify]: Extracting #0: cost 1 inf + 0 53.809 * * [simplify]: Extracting #1: cost 40 inf + 0 53.810 * * [simplify]: Extracting #2: cost 158 inf + 4 53.812 * * [simplify]: Extracting #3: cost 193 inf + 1443 53.820 * * [simplify]: Extracting #4: cost 88 inf + 19136 53.839 * * [simplify]: Extracting #5: cost 7 inf + 36795 53.858 * * [simplify]: Extracting #6: cost 0 inf + 38243 53.875 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 53.875 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4))) (sqrt k))) 53.875 * * * * [progress]: [ 6 / 276 ] simplifiying candidate # 53.875 * * * * [progress]: [ 7 / 276 ] simplifiying candidate # 53.876 * [simplify]: Simplifying (* n (* 2 PI)) 53.876 * * [simplify]: iters left: 4 (5 enodes) 53.877 * * [simplify]: iters left: 3 (19 enodes) 53.881 * * [simplify]: iters left: 2 (27 enodes) 53.885 * * [simplify]: iters left: 1 (32 enodes) 53.889 * * [simplify]: Extracting #0: cost 1 inf + 0 53.889 * * [simplify]: Extracting #1: cost 8 inf + 0 53.889 * * [simplify]: Extracting #2: cost 7 inf + 45 53.889 * * [simplify]: Extracting #3: cost 0 inf + 421 53.890 * [simplify]: Simplified to (* (* PI 2) n) 53.890 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 53.890 * * * * [progress]: [ 8 / 276 ] simplifiying candidate # 53.890 * [simplify]: Simplifying (* n (* 2 PI)) 53.890 * * [simplify]: iters left: 4 (5 enodes) 53.892 * * [simplify]: iters left: 3 (19 enodes) 53.895 * * [simplify]: iters left: 2 (27 enodes) 53.899 * * [simplify]: iters left: 1 (32 enodes) 53.906 * * [simplify]: Extracting #0: cost 1 inf + 0 53.906 * * [simplify]: Extracting #1: cost 8 inf + 0 53.906 * * [simplify]: Extracting #2: cost 7 inf + 45 53.906 * * [simplify]: Extracting #3: cost 0 inf + 421 53.906 * [simplify]: Simplified to (* (* PI 2) n) 53.906 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 53.907 * * * * [progress]: [ 9 / 276 ] simplifiying candidate # 53.907 * [simplify]: Simplifying (* n (* 2 PI)) 53.907 * * [simplify]: iters left: 4 (5 enodes) 53.910 * * [simplify]: iters left: 3 (19 enodes) 53.916 * * [simplify]: iters left: 2 (27 enodes) 53.924 * * [simplify]: iters left: 1 (32 enodes) 53.932 * * [simplify]: Extracting #0: cost 1 inf + 0 53.932 * * [simplify]: Extracting #1: cost 8 inf + 0 53.933 * * [simplify]: Extracting #2: cost 7 inf + 45 53.933 * * [simplify]: Extracting #3: cost 0 inf + 421 53.933 * [simplify]: Simplified to (* (* PI 2) n) 53.933 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 53.933 * * * * [progress]: [ 10 / 276 ] simplifiying candidate # 53.934 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 53.934 * * [simplify]: iters left: 5 (9 enodes) 53.939 * * [simplify]: iters left: 4 (37 enodes) 53.950 * * [simplify]: iters left: 3 (57 enodes) 53.960 * * [simplify]: iters left: 2 (93 enodes) 53.977 * * [simplify]: iters left: 1 (170 enodes) 54.026 * * [simplify]: Extracting #0: cost 1 inf + 0 54.026 * * [simplify]: Extracting #1: cost 13 inf + 0 54.026 * * [simplify]: Extracting #2: cost 59 inf + 1 54.026 * * [simplify]: Extracting #3: cost 78 inf + 176 54.027 * * [simplify]: Extracting #4: cost 40 inf + 3875 54.029 * * [simplify]: Extracting #5: cost 7 inf + 16988 54.032 * * [simplify]: Extracting #6: cost 0 inf + 20577 54.035 * * [simplify]: Extracting #7: cost 0 inf + 20336 54.038 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 54.038 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4)))) (sqrt k))) 54.038 * * * * [progress]: [ 11 / 276 ] simplifiying candidate # 54.038 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 54.038 * * [simplify]: iters left: 6 (7 enodes) 54.041 * * [simplify]: iters left: 5 (32 enodes) 54.052 * * [simplify]: iters left: 4 (47 enodes) 54.067 * * [simplify]: iters left: 3 (53 enodes) 54.083 * * [simplify]: iters left: 2 (60 enodes) 54.101 * * [simplify]: Extracting #0: cost 1 inf + 0 54.101 * * [simplify]: Extracting #1: cost 3 inf + 0 54.101 * * [simplify]: Extracting #2: cost 11 inf + 0 54.101 * * [simplify]: Extracting #3: cost 17 inf + 3 54.101 * * [simplify]: Extracting #4: cost 14 inf + 129 54.102 * * [simplify]: Extracting #5: cost 3 inf + 794 54.102 * * [simplify]: Extracting #6: cost 0 inf + 1162 54.102 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 54.102 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4))))) (sqrt k))) 54.103 * * * * [progress]: [ 12 / 276 ] simplifiying candidate # 54.103 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 54.103 * * [simplify]: iters left: 6 (7 enodes) 54.106 * * [simplify]: iters left: 5 (32 enodes) 54.112 * * [simplify]: iters left: 4 (47 enodes) 54.120 * * [simplify]: iters left: 3 (53 enodes) 54.132 * * [simplify]: iters left: 2 (60 enodes) 54.149 * * [simplify]: Extracting #0: cost 1 inf + 0 54.149 * * [simplify]: Extracting #1: cost 3 inf + 0 54.149 * * [simplify]: Extracting #2: cost 11 inf + 0 54.150 * * [simplify]: Extracting #3: cost 17 inf + 3 54.150 * * [simplify]: Extracting #4: cost 14 inf + 129 54.150 * * [simplify]: Extracting #5: cost 3 inf + 794 54.151 * * [simplify]: Extracting #6: cost 0 inf + 1082 54.151 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 54.151 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4))))) (sqrt k))) 54.151 * * * * [progress]: [ 13 / 276 ] simplifiying candidate # 54.152 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 54.152 * * [simplify]: iters left: 6 (8 enodes) 54.157 * * [simplify]: iters left: 5 (32 enodes) 54.168 * * [simplify]: iters left: 4 (41 enodes) 54.181 * * [simplify]: Extracting #0: cost 1 inf + 0 54.181 * * [simplify]: Extracting #1: cost 4 inf + 0 54.181 * * [simplify]: Extracting #2: cost 8 inf + 0 54.181 * * [simplify]: Extracting #3: cost 9 inf + 163 54.181 * * [simplify]: Extracting #4: cost 13 inf + 164 54.182 * * [simplify]: Extracting #5: cost 10 inf + 249 54.182 * * [simplify]: Extracting #6: cost 3 inf + 986 54.182 * * [simplify]: Extracting #7: cost 0 inf + 1474 54.183 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 54.183 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))) (sqrt k))) 54.183 * * * * [progress]: [ 14 / 276 ] simplifiying candidate # 54.183 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 54.184 * * [simplify]: iters left: 6 (8 enodes) 54.189 * * [simplify]: iters left: 5 (32 enodes) 54.201 * * [simplify]: iters left: 4 (41 enodes) 54.213 * * [simplify]: Extracting #0: cost 1 inf + 0 54.213 * * [simplify]: Extracting #1: cost 4 inf + 0 54.213 * * [simplify]: Extracting #2: cost 8 inf + 0 54.213 * * [simplify]: Extracting #3: cost 9 inf + 83 54.213 * * [simplify]: Extracting #4: cost 13 inf + 84 54.214 * * [simplify]: Extracting #5: cost 10 inf + 169 54.214 * * [simplify]: Extracting #6: cost 3 inf + 866 54.214 * * [simplify]: Extracting #7: cost 0 inf + 1314 54.215 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 54.215 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)))) (sqrt k))) 54.215 * * * * [progress]: [ 15 / 276 ] simplifiying candidate # 54.215 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 54.216 * * [simplify]: iters left: 6 (7 enodes) 54.220 * * [simplify]: iters left: 5 (29 enodes) 54.230 * * [simplify]: iters left: 4 (38 enodes) 54.242 * * [simplify]: Extracting #0: cost 1 inf + 0 54.242 * * [simplify]: Extracting #1: cost 4 inf + 0 54.242 * * [simplify]: Extracting #2: cost 5 inf + 1 54.242 * * [simplify]: Extracting #3: cost 9 inf + 1 54.242 * * [simplify]: Extracting #4: cost 13 inf + 2 54.242 * * [simplify]: Extracting #5: cost 12 inf + 4 54.243 * * [simplify]: Extracting #6: cost 2 inf + 746 54.243 * * [simplify]: Extracting #7: cost 0 inf + 1152 54.243 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 54.243 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2))) (sqrt k))) 54.244 * * * * [progress]: [ 16 / 276 ] simplifiying candidate # 54.244 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 54.244 * * [simplify]: iters left: 6 (8 enodes) 54.249 * * [simplify]: iters left: 5 (32 enodes) 54.261 * * [simplify]: iters left: 4 (41 enodes) 54.273 * * [simplify]: Extracting #0: cost 1 inf + 0 54.273 * * [simplify]: Extracting #1: cost 4 inf + 0 54.273 * * [simplify]: Extracting #2: cost 8 inf + 0 54.274 * * [simplify]: Extracting #3: cost 9 inf + 163 54.274 * * [simplify]: Extracting #4: cost 13 inf + 164 54.274 * * [simplify]: Extracting #5: cost 10 inf + 249 54.274 * * [simplify]: Extracting #6: cost 3 inf + 906 54.275 * * [simplify]: Extracting #7: cost 0 inf + 1314 54.275 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 54.275 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)))) (sqrt k))) 54.275 * * * * [progress]: [ 17 / 276 ] simplifiying candidate # 54.276 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 54.276 * * [simplify]: iters left: 6 (8 enodes) 54.285 * * [simplify]: iters left: 5 (32 enodes) 54.296 * * [simplify]: iters left: 4 (41 enodes) 54.309 * * [simplify]: Extracting #0: cost 1 inf + 0 54.309 * * [simplify]: Extracting #1: cost 4 inf + 0 54.309 * * [simplify]: Extracting #2: cost 8 inf + 0 54.309 * * [simplify]: Extracting #3: cost 9 inf + 83 54.309 * * [simplify]: Extracting #4: cost 13 inf + 84 54.309 * * [simplify]: Extracting #5: cost 10 inf + 169 54.309 * * [simplify]: Extracting #6: cost 3 inf + 786 54.310 * * [simplify]: Extracting #7: cost 0 inf + 1154 54.310 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 54.310 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))) (sqrt k))) 54.311 * * * * [progress]: [ 18 / 276 ] simplifiying candidate # 54.311 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 54.311 * * [simplify]: iters left: 6 (7 enodes) 54.316 * * [simplify]: iters left: 5 (29 enodes) 54.325 * * [simplify]: iters left: 4 (38 enodes) 54.337 * * [simplify]: Extracting #0: cost 1 inf + 0 54.337 * * [simplify]: Extracting #1: cost 4 inf + 0 54.337 * * [simplify]: Extracting #2: cost 5 inf + 1 54.337 * * [simplify]: Extracting #3: cost 9 inf + 1 54.337 * * [simplify]: Extracting #4: cost 13 inf + 2 54.337 * * [simplify]: Extracting #5: cost 12 inf + 4 54.337 * * [simplify]: Extracting #6: cost 2 inf + 666 54.338 * * [simplify]: Extracting #7: cost 0 inf + 992 54.338 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 54.338 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2))) (sqrt k))) 54.338 * * * * [progress]: [ 19 / 276 ] simplifiying candidate # 54.339 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 54.339 * * [simplify]: iters left: 6 (8 enodes) 54.344 * * [simplify]: iters left: 5 (30 enodes) 54.354 * * [simplify]: iters left: 4 (37 enodes) 54.364 * * [simplify]: Extracting #0: cost 1 inf + 0 54.364 * * [simplify]: Extracting #1: cost 6 inf + 0 54.365 * * [simplify]: Extracting #2: cost 12 inf + 0 54.365 * * [simplify]: Extracting #3: cost 11 inf + 405 54.365 * * [simplify]: Extracting #4: cost 10 inf + 407 54.365 * * [simplify]: Extracting #5: cost 4 inf + 1220 54.365 * * [simplify]: Extracting #6: cost 0 inf + 1869 54.365 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 54.365 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))))) (sqrt k))) 54.366 * * * * [progress]: [ 20 / 276 ] simplifiying candidate # 54.366 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 54.366 * * [simplify]: iters left: 6 (9 enodes) 54.369 * * [simplify]: iters left: 5 (33 enodes) 54.375 * * [simplify]: iters left: 4 (43 enodes) 54.382 * * [simplify]: iters left: 3 (45 enodes) 54.389 * * [simplify]: Extracting #0: cost 1 inf + 0 54.389 * * [simplify]: Extracting #1: cost 8 inf + 0 54.389 * * [simplify]: Extracting #2: cost 16 inf + 0 54.389 * * [simplify]: Extracting #3: cost 16 inf + 284 54.389 * * [simplify]: Extracting #4: cost 11 inf + 610 54.389 * * [simplify]: Extracting #5: cost 8 inf + 815 54.389 * * [simplify]: Extracting #6: cost 0 inf + 2517 54.390 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 54.390 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)))) (sqrt k))) 54.390 * * * * [progress]: [ 21 / 276 ] simplifiying candidate # 54.390 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 54.390 * * [simplify]: iters left: 6 (8 enodes) 54.393 * * [simplify]: iters left: 5 (30 enodes) 54.398 * * [simplify]: iters left: 4 (40 enodes) 54.406 * * [simplify]: iters left: 3 (42 enodes) 54.413 * * [simplify]: Extracting #0: cost 1 inf + 0 54.413 * * [simplify]: Extracting #1: cost 8 inf + 0 54.413 * * [simplify]: Extracting #2: cost 12 inf + 82 54.413 * * [simplify]: Extracting #3: cost 13 inf + 405 54.413 * * [simplify]: Extracting #4: cost 12 inf + 407 54.413 * * [simplify]: Extracting #5: cost 5 inf + 1383 54.413 * * [simplify]: Extracting #6: cost 0 inf + 2195 54.414 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 54.414 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2))))) (sqrt k))) 54.414 * * * * [progress]: [ 22 / 276 ] simplifiying candidate # 54.414 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 54.414 * * [simplify]: iters left: 6 (9 enodes) 54.420 * * [simplify]: iters left: 5 (33 enodes) 54.431 * * [simplify]: iters left: 4 (43 enodes) 54.444 * * [simplify]: iters left: 3 (45 enodes) 54.458 * * [simplify]: Extracting #0: cost 1 inf + 0 54.458 * * [simplify]: Extracting #1: cost 8 inf + 0 54.458 * * [simplify]: Extracting #2: cost 16 inf + 0 54.458 * * [simplify]: Extracting #3: cost 16 inf + 284 54.458 * * [simplify]: Extracting #4: cost 11 inf + 610 54.458 * * [simplify]: Extracting #5: cost 8 inf + 815 54.459 * * [simplify]: Extracting #6: cost 0 inf + 2517 54.460 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 54.460 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)))) (sqrt k))) 54.460 * * * * [progress]: [ 23 / 276 ] simplifiying candidate # 54.460 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 54.461 * * [simplify]: iters left: 6 (8 enodes) 54.465 * * [simplify]: iters left: 5 (30 enodes) 54.476 * * [simplify]: iters left: 4 (35 enodes) 54.486 * * [simplify]: Extracting #0: cost 1 inf + 0 54.486 * * [simplify]: Extracting #1: cost 6 inf + 0 54.486 * * [simplify]: Extracting #2: cost 8 inf + 42 54.486 * * [simplify]: Extracting #3: cost 11 inf + 83 54.486 * * [simplify]: Extracting #4: cost 10 inf + 85 54.486 * * [simplify]: Extracting #5: cost 4 inf + 658 54.487 * * [simplify]: Extracting #6: cost 0 inf + 1227 54.487 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 54.487 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2))) (sqrt k))) 54.487 * * * * [progress]: [ 24 / 276 ] simplifiying candidate # 54.487 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 54.487 * * [simplify]: iters left: 6 (8 enodes) 54.490 * * [simplify]: iters left: 5 (30 enodes) 54.495 * * [simplify]: iters left: 4 (40 enodes) 54.501 * * [simplify]: iters left: 3 (42 enodes) 54.507 * * [simplify]: Extracting #0: cost 1 inf + 0 54.508 * * [simplify]: Extracting #1: cost 8 inf + 0 54.508 * * [simplify]: Extracting #2: cost 12 inf + 42 54.508 * * [simplify]: Extracting #3: cost 13 inf + 245 54.508 * * [simplify]: Extracting #4: cost 12 inf + 247 54.508 * * [simplify]: Extracting #5: cost 5 inf + 1143 54.508 * * [simplify]: Extracting #6: cost 0 inf + 1875 54.509 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 54.509 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2))))) (sqrt k))) 54.509 * * * * [progress]: [ 25 / 276 ] simplifiying candidate # 54.509 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 54.509 * * [simplify]: iters left: 6 (8 enodes) 54.511 * * [simplify]: iters left: 5 (30 enodes) 54.519 * * [simplify]: iters left: 4 (40 enodes) 54.533 * * [simplify]: iters left: 3 (42 enodes) 54.539 * * [simplify]: Extracting #0: cost 1 inf + 0 54.540 * * [simplify]: Extracting #1: cost 8 inf + 0 54.540 * * [simplify]: Extracting #2: cost 11 inf + 203 54.540 * * [simplify]: Extracting #3: cost 13 inf + 405 54.540 * * [simplify]: Extracting #4: cost 12 inf + 407 54.540 * * [simplify]: Extracting #5: cost 3 inf + 1789 54.540 * * [simplify]: Extracting #6: cost 0 inf + 2195 54.541 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 54.541 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2)))) (sqrt k))) 54.541 * * * * [progress]: [ 26 / 276 ] simplifiying candidate # 54.541 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 54.541 * * [simplify]: iters left: 6 (8 enodes) 54.544 * * [simplify]: iters left: 5 (30 enodes) 54.549 * * [simplify]: iters left: 4 (40 enodes) 54.556 * * [simplify]: iters left: 3 (42 enodes) 54.566 * * [simplify]: Extracting #0: cost 1 inf + 0 54.566 * * [simplify]: Extracting #1: cost 8 inf + 0 54.566 * * [simplify]: Extracting #2: cost 11 inf + 123 54.566 * * [simplify]: Extracting #3: cost 13 inf + 245 54.566 * * [simplify]: Extracting #4: cost 12 inf + 247 54.566 * * [simplify]: Extracting #5: cost 3 inf + 1509 54.567 * * [simplify]: Extracting #6: cost 0 inf + 1875 54.568 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 54.568 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2)))) (sqrt k))) 54.568 * * * * [progress]: [ 27 / 276 ] simplifiying candidate # 54.568 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 54.568 * * [simplify]: iters left: 6 (7 enodes) 54.573 * * [simplify]: iters left: 5 (28 enodes) 54.582 * * [simplify]: iters left: 4 (35 enodes) 54.592 * * [simplify]: Extracting #0: cost 1 inf + 0 54.592 * * [simplify]: Extracting #1: cost 6 inf + 0 54.593 * * [simplify]: Extracting #2: cost 7 inf + 2 54.593 * * [simplify]: Extracting #3: cost 11 inf + 2 54.593 * * [simplify]: Extracting #4: cost 9 inf + 45 54.593 * * [simplify]: Extracting #5: cost 4 inf + 455 54.593 * * [simplify]: Extracting #6: cost 0 inf + 1066 54.594 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 54.594 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4))) (sqrt k))) 54.594 * * * * [progress]: [ 28 / 276 ] simplifiying candidate # 54.594 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 54.594 * * [simplify]: iters left: 6 (8 enodes) 54.599 * * [simplify]: iters left: 5 (30 enodes) 54.608 * * [simplify]: iters left: 4 (37 enodes) 54.614 * * [simplify]: Extracting #0: cost 1 inf + 0 54.614 * * [simplify]: Extracting #1: cost 6 inf + 0 54.614 * * [simplify]: Extracting #2: cost 12 inf + 0 54.614 * * [simplify]: Extracting #3: cost 11 inf + 405 54.615 * * [simplify]: Extracting #4: cost 10 inf + 407 54.615 * * [simplify]: Extracting #5: cost 4 inf + 1100 54.615 * * [simplify]: Extracting #6: cost 0 inf + 1629 54.615 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 54.615 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))) (sqrt k))) 54.615 * * * * [progress]: [ 29 / 276 ] simplifiying candidate # 54.616 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 54.616 * * [simplify]: iters left: 6 (9 enodes) 54.619 * * [simplify]: iters left: 5 (33 enodes) 54.625 * * [simplify]: iters left: 4 (43 enodes) 54.632 * * [simplify]: iters left: 3 (45 enodes) 54.646 * * [simplify]: Extracting #0: cost 1 inf + 0 54.646 * * [simplify]: Extracting #1: cost 8 inf + 0 54.646 * * [simplify]: Extracting #2: cost 16 inf + 0 54.646 * * [simplify]: Extracting #3: cost 16 inf + 284 54.646 * * [simplify]: Extracting #4: cost 11 inf + 610 54.647 * * [simplify]: Extracting #5: cost 8 inf + 775 54.647 * * [simplify]: Extracting #6: cost 0 inf + 2197 54.647 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 54.647 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)))) (sqrt k))) 54.647 * * * * [progress]: [ 30 / 276 ] simplifiying candidate # 54.648 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 54.648 * * [simplify]: iters left: 6 (8 enodes) 54.650 * * [simplify]: iters left: 5 (30 enodes) 54.656 * * [simplify]: iters left: 4 (40 enodes) 54.662 * * [simplify]: iters left: 3 (42 enodes) 54.668 * * [simplify]: Extracting #0: cost 1 inf + 0 54.668 * * [simplify]: Extracting #1: cost 8 inf + 0 54.668 * * [simplify]: Extracting #2: cost 12 inf + 82 54.669 * * [simplify]: Extracting #3: cost 13 inf + 405 54.669 * * [simplify]: Extracting #4: cost 12 inf + 407 54.669 * * [simplify]: Extracting #5: cost 5 inf + 1223 54.669 * * [simplify]: Extracting #6: cost 0 inf + 1875 54.669 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 54.669 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2))))) (sqrt k))) 54.670 * * * * [progress]: [ 31 / 276 ] simplifiying candidate # 54.670 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 54.670 * * [simplify]: iters left: 6 (9 enodes) 54.675 * * [simplify]: iters left: 5 (33 enodes) 54.686 * * [simplify]: iters left: 4 (43 enodes) 54.697 * * [simplify]: iters left: 3 (45 enodes) 54.704 * * [simplify]: Extracting #0: cost 1 inf + 0 54.704 * * [simplify]: Extracting #1: cost 8 inf + 0 54.704 * * [simplify]: Extracting #2: cost 16 inf + 0 54.704 * * [simplify]: Extracting #3: cost 16 inf + 284 54.704 * * [simplify]: Extracting #4: cost 11 inf + 610 54.705 * * [simplify]: Extracting #5: cost 8 inf + 775 54.705 * * [simplify]: Extracting #6: cost 0 inf + 2197 54.705 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 54.705 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)))) (sqrt k))) 54.705 * * * * [progress]: [ 32 / 276 ] simplifiying candidate # 54.706 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 54.706 * * [simplify]: iters left: 6 (8 enodes) 54.708 * * [simplify]: iters left: 5 (30 enodes) 54.714 * * [simplify]: iters left: 4 (35 enodes) 54.719 * * [simplify]: Extracting #0: cost 1 inf + 0 54.719 * * [simplify]: Extracting #1: cost 6 inf + 0 54.719 * * [simplify]: Extracting #2: cost 8 inf + 42 54.719 * * [simplify]: Extracting #3: cost 11 inf + 83 54.719 * * [simplify]: Extracting #4: cost 10 inf + 85 54.719 * * [simplify]: Extracting #5: cost 4 inf + 538 54.719 * * [simplify]: Extracting #6: cost 0 inf + 987 54.720 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 54.720 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2))) (sqrt k))) 54.720 * * * * [progress]: [ 33 / 276 ] simplifiying candidate # 54.720 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 54.720 * * [simplify]: iters left: 6 (8 enodes) 54.724 * * [simplify]: iters left: 5 (30 enodes) 54.734 * * [simplify]: iters left: 4 (40 enodes) 54.746 * * [simplify]: iters left: 3 (42 enodes) 54.760 * * [simplify]: Extracting #0: cost 1 inf + 0 54.760 * * [simplify]: Extracting #1: cost 8 inf + 0 54.760 * * [simplify]: Extracting #2: cost 12 inf + 42 54.760 * * [simplify]: Extracting #3: cost 13 inf + 245 54.760 * * [simplify]: Extracting #4: cost 12 inf + 247 54.761 * * [simplify]: Extracting #5: cost 5 inf + 983 54.761 * * [simplify]: Extracting #6: cost 0 inf + 1555 54.761 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 54.761 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2))))) (sqrt k))) 54.761 * * * * [progress]: [ 34 / 276 ] simplifiying candidate # 54.762 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 54.762 * * [simplify]: iters left: 6 (8 enodes) 54.764 * * [simplify]: iters left: 5 (30 enodes) 54.769 * * [simplify]: iters left: 4 (40 enodes) 54.776 * * [simplify]: iters left: 3 (42 enodes) 54.782 * * [simplify]: Extracting #0: cost 1 inf + 0 54.782 * * [simplify]: Extracting #1: cost 8 inf + 0 54.782 * * [simplify]: Extracting #2: cost 11 inf + 203 54.782 * * [simplify]: Extracting #3: cost 13 inf + 405 54.782 * * [simplify]: Extracting #4: cost 12 inf + 407 54.782 * * [simplify]: Extracting #5: cost 3 inf + 1549 54.783 * * [simplify]: Extracting #6: cost 0 inf + 1875 54.783 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 54.783 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2)))) (sqrt k))) 54.783 * * * * [progress]: [ 35 / 276 ] simplifiying candidate # 54.783 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 54.783 * * [simplify]: iters left: 6 (8 enodes) 54.786 * * [simplify]: iters left: 5 (30 enodes) 54.796 * * [simplify]: iters left: 4 (40 enodes) 54.808 * * [simplify]: iters left: 3 (42 enodes) 54.820 * * [simplify]: Extracting #0: cost 1 inf + 0 54.821 * * [simplify]: Extracting #1: cost 8 inf + 0 54.821 * * [simplify]: Extracting #2: cost 11 inf + 123 54.821 * * [simplify]: Extracting #3: cost 13 inf + 245 54.821 * * [simplify]: Extracting #4: cost 12 inf + 247 54.821 * * [simplify]: Extracting #5: cost 3 inf + 1269 54.822 * * [simplify]: Extracting #6: cost 0 inf + 1555 54.823 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 54.823 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2)))) (sqrt k))) 54.823 * * * * [progress]: [ 36 / 276 ] simplifiying candidate # 54.823 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 54.823 * * [simplify]: iters left: 6 (7 enodes) 54.828 * * [simplify]: iters left: 5 (28 enodes) 54.838 * * [simplify]: iters left: 4 (35 enodes) 54.849 * * [simplify]: Extracting #0: cost 1 inf + 0 54.849 * * [simplify]: Extracting #1: cost 6 inf + 0 54.849 * * [simplify]: Extracting #2: cost 7 inf + 2 54.849 * * [simplify]: Extracting #3: cost 11 inf + 2 54.850 * * [simplify]: Extracting #4: cost 9 inf + 45 54.850 * * [simplify]: Extracting #5: cost 4 inf + 375 54.850 * * [simplify]: Extracting #6: cost 0 inf + 826 54.851 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 54.851 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4))) (sqrt k))) 54.851 * * * * [progress]: [ 37 / 276 ] simplifiying candidate # 54.851 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 54.851 * * [simplify]: iters left: 6 (7 enodes) 54.855 * * [simplify]: iters left: 5 (30 enodes) 54.861 * * [simplify]: iters left: 4 (49 enodes) 54.869 * * [simplify]: iters left: 3 (59 enodes) 54.881 * * [simplify]: iters left: 2 (64 enodes) 54.894 * * [simplify]: Extracting #0: cost 1 inf + 0 54.894 * * [simplify]: Extracting #1: cost 9 inf + 0 54.894 * * [simplify]: Extracting #2: cost 23 inf + 0 54.894 * * [simplify]: Extracting #3: cost 24 inf + 3 54.895 * * [simplify]: Extracting #4: cost 15 inf + 980 54.895 * * [simplify]: Extracting #5: cost 1 inf + 3007 54.896 * * [simplify]: Extracting #6: cost 0 inf + 3169 54.897 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 54.898 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))) (sqrt k))) 54.898 * * * * [progress]: [ 38 / 276 ] simplifiying candidate # 54.898 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 54.898 * * [simplify]: iters left: 6 (8 enodes) 54.904 * * [simplify]: iters left: 5 (33 enodes) 54.912 * * [simplify]: iters left: 4 (55 enodes) 54.922 * * [simplify]: iters left: 3 (72 enodes) 54.933 * * [simplify]: iters left: 2 (84 enodes) 54.954 * * [simplify]: iters left: 1 (88 enodes) 54.977 * * [simplify]: Extracting #0: cost 1 inf + 0 54.977 * * [simplify]: Extracting #1: cost 11 inf + 0 54.977 * * [simplify]: Extracting #2: cost 30 inf + 0 54.977 * * [simplify]: Extracting #3: cost 33 inf + 84 54.977 * * [simplify]: Extracting #4: cost 12 inf + 2402 54.978 * * [simplify]: Extracting #5: cost 0 inf + 4469 54.979 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 54.979 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))) (sqrt k))) 54.979 * * * * [progress]: [ 39 / 276 ] simplifiying candidate # 54.979 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 54.979 * * [simplify]: iters left: 6 (7 enodes) 54.982 * * [simplify]: iters left: 5 (30 enodes) 54.991 * * [simplify]: iters left: 4 (52 enodes) 55.000 * * [simplify]: iters left: 3 (70 enodes) 55.012 * * [simplify]: iters left: 2 (81 enodes) 55.035 * * [simplify]: iters left: 1 (84 enodes) 55.057 * * [simplify]: Extracting #0: cost 1 inf + 0 55.057 * * [simplify]: Extracting #1: cost 11 inf + 0 55.058 * * [simplify]: Extracting #2: cost 25 inf + 203 55.058 * * [simplify]: Extracting #3: cost 25 inf + 530 55.059 * * [simplify]: Extracting #4: cost 4 inf + 2936 55.060 * * [simplify]: Extracting #5: cost 0 inf + 3504 55.061 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 55.061 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))) (sqrt k))) 55.061 * * * * [progress]: [ 40 / 276 ] simplifiying candidate # 55.062 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 55.062 * * [simplify]: iters left: 6 (8 enodes) 55.067 * * [simplify]: iters left: 5 (33 enodes) 55.073 * * [simplify]: iters left: 4 (55 enodes) 55.083 * * [simplify]: iters left: 3 (72 enodes) 55.095 * * [simplify]: iters left: 2 (84 enodes) 55.117 * * [simplify]: iters left: 1 (88 enodes) 55.136 * * [simplify]: Extracting #0: cost 1 inf + 0 55.136 * * [simplify]: Extracting #1: cost 11 inf + 0 55.136 * * [simplify]: Extracting #2: cost 30 inf + 0 55.136 * * [simplify]: Extracting #3: cost 33 inf + 44 55.137 * * [simplify]: Extracting #4: cost 12 inf + 2362 55.137 * * [simplify]: Extracting #5: cost 0 inf + 4469 55.138 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 55.138 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))) (sqrt k))) 55.138 * * * * [progress]: [ 41 / 276 ] simplifiying candidate # 55.138 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 55.139 * * [simplify]: iters left: 6 (7 enodes) 55.141 * * [simplify]: iters left: 5 (30 enodes) 55.147 * * [simplify]: iters left: 4 (48 enodes) 55.162 * * [simplify]: iters left: 3 (56 enodes) 55.176 * * [simplify]: Extracting #0: cost 1 inf + 0 55.176 * * [simplify]: Extracting #1: cost 8 inf + 0 55.176 * * [simplify]: Extracting #2: cost 15 inf + 43 55.176 * * [simplify]: Extracting #3: cost 16 inf + 86 55.176 * * [simplify]: Extracting #4: cost 5 inf + 911 55.177 * * [simplify]: Extracting #5: cost 1 inf + 1198 55.177 * * [simplify]: Extracting #6: cost 0 inf + 1320 55.177 * [simplify]: Simplified to (/ (- 1 k) 2) 55.177 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))) (sqrt k))) 55.177 * * * * [progress]: [ 42 / 276 ] simplifiying candidate # 55.178 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 55.178 * * [simplify]: iters left: 6 (7 enodes) 55.180 * * [simplify]: iters left: 5 (30 enodes) 55.186 * * [simplify]: iters left: 4 (52 enodes) 55.196 * * [simplify]: iters left: 3 (70 enodes) 55.209 * * [simplify]: iters left: 2 (81 enodes) 55.235 * * [simplify]: iters left: 1 (84 enodes) 55.258 * * [simplify]: Extracting #0: cost 1 inf + 0 55.258 * * [simplify]: Extracting #1: cost 11 inf + 0 55.258 * * [simplify]: Extracting #2: cost 25 inf + 123 55.259 * * [simplify]: Extracting #3: cost 25 inf + 330 55.259 * * [simplify]: Extracting #4: cost 4 inf + 2256 55.261 * * [simplify]: Extracting #5: cost 0 inf + 2704 55.262 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 55.262 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))) (sqrt k))) 55.262 * * * * [progress]: [ 43 / 276 ] simplifiying candidate # 55.262 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 55.263 * * [simplify]: iters left: 6 (7 enodes) 55.268 * * [simplify]: iters left: 5 (31 enodes) 55.279 * * [simplify]: iters left: 4 (51 enodes) 55.293 * * [simplify]: iters left: 3 (64 enodes) 55.303 * * [simplify]: iters left: 2 (77 enodes) 55.314 * * [simplify]: iters left: 1 (84 enodes) 55.332 * * [simplify]: Extracting #0: cost 1 inf + 0 55.332 * * [simplify]: Extracting #1: cost 11 inf + 0 55.332 * * [simplify]: Extracting #2: cost 26 inf + 82 55.332 * * [simplify]: Extracting #3: cost 24 inf + 692 55.333 * * [simplify]: Extracting #4: cost 3 inf + 3057 55.334 * * [simplify]: Extracting #5: cost 0 inf + 3504 55.335 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 55.335 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))) (sqrt k))) 55.336 * * * * [progress]: [ 44 / 276 ] simplifiying candidate # 55.336 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 55.336 * * [simplify]: iters left: 6 (7 enodes) 55.344 * * [simplify]: iters left: 5 (31 enodes) 55.355 * * [simplify]: iters left: 4 (51 enodes) 55.371 * * [simplify]: iters left: 3 (64 enodes) 55.390 * * [simplify]: iters left: 2 (77 enodes) 55.411 * * [simplify]: iters left: 1 (84 enodes) 55.428 * * [simplify]: Extracting #0: cost 1 inf + 0 55.428 * * [simplify]: Extracting #1: cost 11 inf + 0 55.429 * * [simplify]: Extracting #2: cost 26 inf + 42 55.429 * * [simplify]: Extracting #3: cost 24 inf + 452 55.429 * * [simplify]: Extracting #4: cost 3 inf + 2337 55.430 * * [simplify]: Extracting #5: cost 0 inf + 2704 55.430 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 55.430 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))) (sqrt k))) 55.430 * * * * [progress]: [ 45 / 276 ] simplifiying candidate # 55.431 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 55.431 * * [simplify]: iters left: 6 (6 enodes) 55.433 * * [simplify]: iters left: 5 (29 enodes) 55.439 * * [simplify]: iters left: 4 (44 enodes) 55.446 * * [simplify]: iters left: 3 (50 enodes) 55.454 * * [simplify]: iters left: 2 (57 enodes) 55.469 * * [simplify]: Extracting #0: cost 1 inf + 0 55.469 * * [simplify]: Extracting #1: cost 9 inf + 0 55.469 * * [simplify]: Extracting #2: cost 15 inf + 3 55.469 * * [simplify]: Extracting #3: cost 11 inf + 131 55.469 * * [simplify]: Extracting #4: cost 2 inf + 711 55.469 * * [simplify]: Extracting #5: cost 0 inf + 836 55.470 * [simplify]: Simplified to (- 1/4 (/ k 4)) 55.470 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))) (sqrt k))) 55.470 * * * * [progress]: [ 46 / 276 ] simplifiying candidate # 55.470 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 55.470 * * [simplify]: iters left: 6 (9 enodes) 55.473 * * [simplify]: iters left: 5 (36 enodes) 55.479 * * [simplify]: iters left: 4 (58 enodes) 55.488 * * [simplify]: iters left: 3 (71 enodes) 55.502 * * [simplify]: iters left: 2 (79 enodes) 55.523 * * [simplify]: iters left: 1 (80 enodes) 55.543 * * [simplify]: Extracting #0: cost 1 inf + 0 55.544 * * [simplify]: Extracting #1: cost 9 inf + 0 55.544 * * [simplify]: Extracting #2: cost 24 inf + 0 55.544 * * [simplify]: Extracting #3: cost 29 inf + 2 55.544 * * [simplify]: Extracting #4: cost 10 inf + 2233 55.546 * * [simplify]: Extracting #5: cost 1 inf + 4013 55.547 * * [simplify]: Extracting #6: cost 0 inf + 4135 55.548 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 55.548 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))) (sqrt k))) 55.548 * * * * [progress]: [ 47 / 276 ] simplifiying candidate # 55.549 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 55.549 * * [simplify]: iters left: 6 (10 enodes) 55.555 * * [simplify]: iters left: 5 (39 enodes) 55.568 * * [simplify]: iters left: 4 (64 enodes) 55.589 * * [simplify]: iters left: 3 (86 enodes) 55.616 * * [simplify]: iters left: 2 (99 enodes) 55.629 * * [simplify]: iters left: 1 (104 enodes) 55.642 * * [simplify]: Extracting #0: cost 1 inf + 0 55.643 * * [simplify]: Extracting #1: cost 11 inf + 0 55.643 * * [simplify]: Extracting #2: cost 31 inf + 0 55.643 * * [simplify]: Extracting #3: cost 39 inf + 2 55.643 * * [simplify]: Extracting #4: cost 22 inf + 1871 55.644 * * [simplify]: Extracting #5: cost 4 inf + 4865 55.645 * * [simplify]: Extracting #6: cost 0 inf + 5675 55.646 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 55.646 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))) (sqrt k))) 55.646 * * * * [progress]: [ 48 / 276 ] simplifiying candidate # 55.646 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 55.646 * * [simplify]: iters left: 6 (9 enodes) 55.652 * * [simplify]: iters left: 5 (36 enodes) 55.664 * * [simplify]: iters left: 4 (61 enodes) 55.682 * * [simplify]: iters left: 3 (84 enodes) 55.706 * * [simplify]: iters left: 2 (96 enodes) 55.731 * * [simplify]: iters left: 1 (100 enodes) 55.745 * * [simplify]: Extracting #0: cost 1 inf + 0 55.745 * * [simplify]: Extracting #1: cost 11 inf + 0 55.745 * * [simplify]: Extracting #2: cost 27 inf + 82 55.745 * * [simplify]: Extracting #3: cost 29 inf + 651 55.745 * * [simplify]: Extracting #4: cost 12 inf + 2763 55.746 * * [simplify]: Extracting #5: cost 1 inf + 4587 55.747 * * [simplify]: Extracting #6: cost 0 inf + 4710 55.748 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 55.748 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))) (sqrt k))) 55.748 * * * * [progress]: [ 49 / 276 ] simplifiying candidate # 55.748 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 55.748 * * [simplify]: iters left: 6 (10 enodes) 55.752 * * [simplify]: iters left: 5 (39 enodes) 55.762 * * [simplify]: iters left: 4 (64 enodes) 55.781 * * [simplify]: iters left: 3 (86 enodes) 55.797 * * [simplify]: iters left: 2 (99 enodes) 55.811 * * [simplify]: iters left: 1 (104 enodes) 55.837 * * [simplify]: Extracting #0: cost 1 inf + 0 55.837 * * [simplify]: Extracting #1: cost 11 inf + 0 55.837 * * [simplify]: Extracting #2: cost 31 inf + 0 55.838 * * [simplify]: Extracting #3: cost 39 inf + 2 55.838 * * [simplify]: Extracting #4: cost 22 inf + 1831 55.840 * * [simplify]: Extracting #5: cost 4 inf + 4785 55.842 * * [simplify]: Extracting #6: cost 0 inf + 5595 55.844 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 55.844 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))) (sqrt k))) 55.844 * * * * [progress]: [ 50 / 276 ] simplifiying candidate # 55.844 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 55.845 * * [simplify]: iters left: 6 (9 enodes) 55.850 * * [simplify]: iters left: 5 (36 enodes) 55.857 * * [simplify]: iters left: 4 (57 enodes) 55.867 * * [simplify]: iters left: 3 (73 enodes) 55.879 * * [simplify]: iters left: 2 (80 enodes) 55.899 * * [simplify]: iters left: 1 (81 enodes) 55.917 * * [simplify]: Extracting #0: cost 1 inf + 0 55.918 * * [simplify]: Extracting #1: cost 9 inf + 0 55.918 * * [simplify]: Extracting #2: cost 18 inf + 43 55.918 * * [simplify]: Extracting #3: cost 23 inf + 85 55.918 * * [simplify]: Extracting #4: cost 9 inf + 1271 55.918 * * [simplify]: Extracting #5: cost 0 inf + 2370 55.919 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 55.919 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 55.919 * * * * [progress]: [ 51 / 276 ] simplifiying candidate # 55.919 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 55.919 * * [simplify]: iters left: 6 (9 enodes) 55.923 * * [simplify]: iters left: 5 (36 enodes) 55.929 * * [simplify]: iters left: 4 (61 enodes) 55.940 * * [simplify]: iters left: 3 (84 enodes) 55.966 * * [simplify]: iters left: 2 (96 enodes) 55.992 * * [simplify]: iters left: 1 (100 enodes) 56.017 * * [simplify]: Extracting #0: cost 1 inf + 0 56.017 * * [simplify]: Extracting #1: cost 11 inf + 0 56.017 * * [simplify]: Extracting #2: cost 27 inf + 42 56.018 * * [simplify]: Extracting #3: cost 29 inf + 411 56.018 * * [simplify]: Extracting #4: cost 12 inf + 2163 56.020 * * [simplify]: Extracting #5: cost 1 inf + 3707 56.021 * * [simplify]: Extracting #6: cost 0 inf + 3830 56.022 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 56.022 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))) (sqrt k))) 56.023 * * * * [progress]: [ 52 / 276 ] simplifiying candidate # 56.023 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 56.023 * * [simplify]: iters left: 6 (9 enodes) 56.026 * * [simplify]: iters left: 5 (36 enodes) 56.034 * * [simplify]: iters left: 4 (62 enodes) 56.044 * * [simplify]: iters left: 3 (78 enodes) 56.060 * * [simplify]: iters left: 2 (90 enodes) 56.088 * * [simplify]: iters left: 1 (94 enodes) 56.113 * * [simplify]: Extracting #0: cost 1 inf + 0 56.113 * * [simplify]: Extracting #1: cost 11 inf + 0 56.114 * * [simplify]: Extracting #2: cost 27 inf + 1 56.114 * * [simplify]: Extracting #3: cost 29 inf + 409 56.114 * * [simplify]: Extracting #4: cost 12 inf + 2359 56.116 * * [simplify]: Extracting #5: cost 2 inf + 4022 56.117 * * [simplify]: Extracting #6: cost 0 inf + 4466 56.119 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 56.119 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))) (sqrt k))) 56.119 * * * * [progress]: [ 53 / 276 ] simplifiying candidate # 56.119 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 56.119 * * [simplify]: iters left: 6 (9 enodes) 56.125 * * [simplify]: iters left: 5 (36 enodes) 56.135 * * [simplify]: iters left: 4 (62 enodes) 56.144 * * [simplify]: iters left: 3 (78 enodes) 56.156 * * [simplify]: iters left: 2 (90 enodes) 56.178 * * [simplify]: iters left: 1 (94 enodes) 56.202 * * [simplify]: Extracting #0: cost 1 inf + 0 56.202 * * [simplify]: Extracting #1: cost 11 inf + 0 56.202 * * [simplify]: Extracting #2: cost 27 inf + 1 56.202 * * [simplify]: Extracting #3: cost 29 inf + 249 56.203 * * [simplify]: Extracting #4: cost 12 inf + 1879 56.204 * * [simplify]: Extracting #5: cost 2 inf + 3302 56.206 * * [simplify]: Extracting #6: cost 0 inf + 3666 56.207 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 56.207 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))) (sqrt k))) 56.207 * * * * [progress]: [ 54 / 276 ] simplifiying candidate # 56.208 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 56.208 * * [simplify]: iters left: 6 (8 enodes) 56.216 * * [simplify]: iters left: 5 (34 enodes) 56.223 * * [simplify]: iters left: 4 (58 enodes) 56.232 * * [simplify]: iters left: 3 (65 enodes) 56.241 * * [simplify]: Extracting #0: cost 1 inf + 0 56.241 * * [simplify]: Extracting #1: cost 8 inf + 0 56.241 * * [simplify]: Extracting #2: cost 14 inf + 3 56.241 * * [simplify]: Extracting #3: cost 17 inf + 5 56.241 * * [simplify]: Extracting #4: cost 12 inf + 292 56.241 * * [simplify]: Extracting #5: cost 1 inf + 1355 56.241 * * [simplify]: Extracting #6: cost 0 inf + 1478 56.242 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 56.242 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4))) (sqrt k))) 56.242 * * * * [progress]: [ 55 / 276 ] simplifiying candidate # 56.242 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 56.242 * * [simplify]: iters left: 6 (8 enodes) 56.247 * * [simplify]: iters left: 5 (33 enodes) 56.259 * * [simplify]: iters left: 4 (52 enodes) 56.275 * * [simplify]: iters left: 3 (62 enodes) 56.286 * * [simplify]: iters left: 2 (67 enodes) 56.296 * * [simplify]: Extracting #0: cost 1 inf + 0 56.296 * * [simplify]: Extracting #1: cost 9 inf + 0 56.296 * * [simplify]: Extracting #2: cost 23 inf + 0 56.296 * * [simplify]: Extracting #3: cost 24 inf + 285 56.297 * * [simplify]: Extracting #4: cost 18 inf + 975 56.297 * * [simplify]: Extracting #5: cost 7 inf + 2516 56.298 * * [simplify]: Extracting #6: cost 0 inf + 3891 56.298 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 56.298 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))) (sqrt k))) 56.298 * * * * [progress]: [ 56 / 276 ] simplifiying candidate # 56.298 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 56.299 * * [simplify]: iters left: 6 (9 enodes) 56.302 * * [simplify]: iters left: 5 (36 enodes) 56.308 * * [simplify]: iters left: 4 (58 enodes) 56.326 * * [simplify]: iters left: 3 (75 enodes) 56.338 * * [simplify]: iters left: 2 (87 enodes) 56.350 * * [simplify]: iters left: 1 (91 enodes) 56.371 * * [simplify]: Extracting #0: cost 1 inf + 0 56.371 * * [simplify]: Extracting #1: cost 11 inf + 0 56.371 * * [simplify]: Extracting #2: cost 30 inf + 0 56.371 * * [simplify]: Extracting #3: cost 36 inf + 83 56.371 * * [simplify]: Extracting #4: cost 30 inf + 451 56.372 * * [simplify]: Extracting #5: cost 10 inf + 3649 56.374 * * [simplify]: Extracting #6: cost 0 inf + 5431 56.376 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 56.376 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))) (sqrt k))) 56.376 * * * * [progress]: [ 57 / 276 ] simplifiying candidate # 56.377 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 56.377 * * [simplify]: iters left: 6 (8 enodes) 56.382 * * [simplify]: iters left: 5 (33 enodes) 56.394 * * [simplify]: iters left: 4 (55 enodes) 56.412 * * [simplify]: iters left: 3 (73 enodes) 56.434 * * [simplify]: iters left: 2 (84 enodes) 56.449 * * [simplify]: iters left: 1 (87 enodes) 56.461 * * [simplify]: Extracting #0: cost 1 inf + 0 56.461 * * [simplify]: Extracting #1: cost 11 inf + 0 56.461 * * [simplify]: Extracting #2: cost 25 inf + 203 56.461 * * [simplify]: Extracting #3: cost 29 inf + 407 56.461 * * [simplify]: Extracting #4: cost 24 inf + 896 56.462 * * [simplify]: Extracting #5: cost 9 inf + 2805 56.462 * * [simplify]: Extracting #6: cost 0 inf + 4466 56.463 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 56.463 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))) (sqrt k))) 56.464 * * * * [progress]: [ 58 / 276 ] simplifiying candidate # 56.464 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 56.464 * * [simplify]: iters left: 6 (9 enodes) 56.467 * * [simplify]: iters left: 5 (36 enodes) 56.474 * * [simplify]: iters left: 4 (58 enodes) 56.486 * * [simplify]: iters left: 3 (75 enodes) 56.509 * * [simplify]: iters left: 2 (87 enodes) 56.533 * * [simplify]: iters left: 1 (91 enodes) 56.559 * * [simplify]: Extracting #0: cost 1 inf + 0 56.559 * * [simplify]: Extracting #1: cost 11 inf + 0 56.559 * * [simplify]: Extracting #2: cost 30 inf + 0 56.559 * * [simplify]: Extracting #3: cost 36 inf + 43 56.562 * * [simplify]: Extracting #4: cost 30 inf + 451 56.563 * * [simplify]: Extracting #5: cost 10 inf + 3769 56.565 * * [simplify]: Extracting #6: cost 0 inf + 5431 56.567 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 56.567 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))) (sqrt k))) 56.567 * * * * [progress]: [ 59 / 276 ] simplifiying candidate # 56.568 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 56.568 * * [simplify]: iters left: 6 (8 enodes) 56.573 * * [simplify]: iters left: 5 (33 enodes) 56.584 * * [simplify]: iters left: 4 (51 enodes) 56.600 * * [simplify]: iters left: 3 (59 enodes) 56.618 * * [simplify]: Extracting #0: cost 1 inf + 0 56.618 * * [simplify]: Extracting #1: cost 8 inf + 0 56.618 * * [simplify]: Extracting #2: cost 15 inf + 43 56.618 * * [simplify]: Extracting #3: cost 19 inf + 85 56.618 * * [simplify]: Extracting #4: cost 16 inf + 250 56.619 * * [simplify]: Extracting #5: cost 5 inf + 1311 56.619 * * [simplify]: Extracting #6: cost 0 inf + 1962 56.620 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 56.620 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 56.620 * * * * [progress]: [ 60 / 276 ] simplifiying candidate # 56.621 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 56.621 * * [simplify]: iters left: 6 (8 enodes) 56.626 * * [simplify]: iters left: 5 (33 enodes) 56.638 * * [simplify]: iters left: 4 (55 enodes) 56.656 * * [simplify]: iters left: 3 (73 enodes) 56.678 * * [simplify]: iters left: 2 (84 enodes) 56.701 * * [simplify]: iters left: 1 (87 enodes) 56.728 * * [simplify]: Extracting #0: cost 1 inf + 0 56.728 * * [simplify]: Extracting #1: cost 11 inf + 0 56.729 * * [simplify]: Extracting #2: cost 25 inf + 123 56.729 * * [simplify]: Extracting #3: cost 29 inf + 247 56.729 * * [simplify]: Extracting #4: cost 24 inf + 576 56.730 * * [simplify]: Extracting #5: cost 9 inf + 2245 56.731 * * [simplify]: Extracting #6: cost 0 inf + 3666 56.733 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 56.733 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))) (sqrt k))) 56.733 * * * * [progress]: [ 61 / 276 ] simplifiying candidate # 56.733 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 56.733 * * [simplify]: iters left: 6 (8 enodes) 56.739 * * [simplify]: iters left: 5 (34 enodes) 56.750 * * [simplify]: iters left: 4 (54 enodes) 56.767 * * [simplify]: iters left: 3 (67 enodes) 56.788 * * [simplify]: iters left: 2 (80 enodes) 56.810 * * [simplify]: iters left: 1 (87 enodes) 56.832 * * [simplify]: Extracting #0: cost 1 inf + 0 56.832 * * [simplify]: Extracting #1: cost 11 inf + 0 56.832 * * [simplify]: Extracting #2: cost 25 inf + 203 56.832 * * [simplify]: Extracting #3: cost 26 inf + 773 56.832 * * [simplify]: Extracting #4: cost 24 inf + 896 56.833 * * [simplify]: Extracting #5: cost 8 inf + 3127 56.834 * * [simplify]: Extracting #6: cost 0 inf + 4466 56.834 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 56.834 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))) (sqrt k))) 56.834 * * * * [progress]: [ 62 / 276 ] simplifiying candidate # 56.835 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 56.835 * * [simplify]: iters left: 6 (8 enodes) 56.838 * * [simplify]: iters left: 5 (34 enodes) 56.844 * * [simplify]: iters left: 4 (54 enodes) 56.852 * * [simplify]: iters left: 3 (67 enodes) 56.865 * * [simplify]: iters left: 2 (80 enodes) 56.877 * * [simplify]: iters left: 1 (87 enodes) 56.891 * * [simplify]: Extracting #0: cost 1 inf + 0 56.891 * * [simplify]: Extracting #1: cost 11 inf + 0 56.891 * * [simplify]: Extracting #2: cost 25 inf + 123 56.891 * * [simplify]: Extracting #3: cost 26 inf + 493 56.891 * * [simplify]: Extracting #4: cost 24 inf + 576 56.892 * * [simplify]: Extracting #5: cost 8 inf + 2527 56.892 * * [simplify]: Extracting #6: cost 0 inf + 3666 56.893 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 56.893 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))) (sqrt k))) 56.893 * * * * [progress]: [ 63 / 276 ] simplifiying candidate # 56.893 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 56.893 * * [simplify]: iters left: 6 (7 enodes) 56.896 * * [simplify]: iters left: 5 (32 enodes) 56.903 * * [simplify]: iters left: 4 (50 enodes) 56.911 * * [simplify]: iters left: 3 (54 enodes) 56.918 * * [simplify]: Extracting #0: cost 1 inf + 0 56.918 * * [simplify]: Extracting #1: cost 8 inf + 0 56.918 * * [simplify]: Extracting #2: cost 13 inf + 3 56.919 * * [simplify]: Extracting #3: cost 15 inf + 5 56.919 * * [simplify]: Extracting #4: cost 14 inf + 6 56.919 * * [simplify]: Extracting #5: cost 4 inf + 825 56.919 * * [simplify]: Extracting #6: cost 0 inf + 1234 56.919 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 56.919 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4)))) (sqrt k))) 56.919 * * * * [progress]: [ 64 / 276 ] simplifiying candidate # 56.920 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 56.920 * * [simplify]: iters left: 6 (7 enodes) 56.922 * * [simplify]: iters left: 5 (30 enodes) 56.928 * * [simplify]: iters left: 4 (49 enodes) 56.936 * * [simplify]: iters left: 3 (59 enodes) 56.947 * * [simplify]: iters left: 2 (64 enodes) 56.957 * * [simplify]: Extracting #0: cost 1 inf + 0 56.957 * * [simplify]: Extracting #1: cost 9 inf + 0 56.957 * * [simplify]: Extracting #2: cost 23 inf + 0 56.957 * * [simplify]: Extracting #3: cost 24 inf + 3 56.958 * * [simplify]: Extracting #4: cost 15 inf + 980 56.958 * * [simplify]: Extracting #5: cost 1 inf + 3007 56.959 * * [simplify]: Extracting #6: cost 0 inf + 3169 56.960 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 56.960 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))) (sqrt k))) 56.961 * * * * [progress]: [ 65 / 276 ] simplifiying candidate # 56.961 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 56.961 * * [simplify]: iters left: 6 (8 enodes) 56.966 * * [simplify]: iters left: 5 (33 enodes) 56.978 * * [simplify]: iters left: 4 (55 enodes) 56.989 * * [simplify]: iters left: 3 (72 enodes) 57.002 * * [simplify]: iters left: 2 (84 enodes) 57.025 * * [simplify]: iters left: 1 (88 enodes) 57.049 * * [simplify]: Extracting #0: cost 1 inf + 0 57.049 * * [simplify]: Extracting #1: cost 11 inf + 0 57.050 * * [simplify]: Extracting #2: cost 30 inf + 0 57.050 * * [simplify]: Extracting #3: cost 33 inf + 84 57.050 * * [simplify]: Extracting #4: cost 12 inf + 2402 57.052 * * [simplify]: Extracting #5: cost 0 inf + 4469 57.053 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 57.053 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))) (sqrt k))) 57.053 * * * * [progress]: [ 66 / 276 ] simplifiying candidate # 57.054 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 57.054 * * [simplify]: iters left: 6 (7 enodes) 57.058 * * [simplify]: iters left: 5 (30 enodes) 57.071 * * [simplify]: iters left: 4 (52 enodes) 57.086 * * [simplify]: iters left: 3 (70 enodes) 57.104 * * [simplify]: iters left: 2 (81 enodes) 57.126 * * [simplify]: iters left: 1 (84 enodes) 57.149 * * [simplify]: Extracting #0: cost 1 inf + 0 57.149 * * [simplify]: Extracting #1: cost 11 inf + 0 57.149 * * [simplify]: Extracting #2: cost 25 inf + 203 57.149 * * [simplify]: Extracting #3: cost 25 inf + 530 57.150 * * [simplify]: Extracting #4: cost 4 inf + 2936 57.151 * * [simplify]: Extracting #5: cost 0 inf + 3504 57.153 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 57.153 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))) (sqrt k))) 57.153 * * * * [progress]: [ 67 / 276 ] simplifiying candidate # 57.153 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 57.154 * * [simplify]: iters left: 6 (8 enodes) 57.159 * * [simplify]: iters left: 5 (33 enodes) 57.169 * * [simplify]: iters left: 4 (55 enodes) 57.179 * * [simplify]: iters left: 3 (72 enodes) 57.191 * * [simplify]: iters left: 2 (84 enodes) 57.206 * * [simplify]: iters left: 1 (88 enodes) 57.221 * * [simplify]: Extracting #0: cost 1 inf + 0 57.221 * * [simplify]: Extracting #1: cost 11 inf + 0 57.221 * * [simplify]: Extracting #2: cost 30 inf + 0 57.221 * * [simplify]: Extracting #3: cost 33 inf + 44 57.222 * * [simplify]: Extracting #4: cost 12 inf + 2362 57.224 * * [simplify]: Extracting #5: cost 0 inf + 4469 57.225 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 57.225 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))) (sqrt k))) 57.225 * * * * [progress]: [ 68 / 276 ] simplifiying candidate # 57.226 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 57.226 * * [simplify]: iters left: 6 (7 enodes) 57.230 * * [simplify]: iters left: 5 (30 enodes) 57.237 * * [simplify]: iters left: 4 (48 enodes) 57.245 * * [simplify]: iters left: 3 (56 enodes) 57.253 * * [simplify]: Extracting #0: cost 1 inf + 0 57.253 * * [simplify]: Extracting #1: cost 8 inf + 0 57.254 * * [simplify]: Extracting #2: cost 15 inf + 43 57.254 * * [simplify]: Extracting #3: cost 16 inf + 86 57.254 * * [simplify]: Extracting #4: cost 5 inf + 911 57.254 * * [simplify]: Extracting #5: cost 1 inf + 1198 57.254 * * [simplify]: Extracting #6: cost 0 inf + 1320 57.255 * [simplify]: Simplified to (/ (- 1 k) 2) 57.255 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))) (sqrt k))) 57.255 * * * * [progress]: [ 69 / 276 ] simplifiying candidate # 57.255 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 57.255 * * [simplify]: iters left: 6 (7 enodes) 57.258 * * [simplify]: iters left: 5 (30 enodes) 57.265 * * [simplify]: iters left: 4 (52 enodes) 57.282 * * [simplify]: iters left: 3 (70 enodes) 57.307 * * [simplify]: iters left: 2 (81 enodes) 57.330 * * [simplify]: iters left: 1 (84 enodes) 57.352 * * [simplify]: Extracting #0: cost 1 inf + 0 57.352 * * [simplify]: Extracting #1: cost 11 inf + 0 57.353 * * [simplify]: Extracting #2: cost 25 inf + 123 57.353 * * [simplify]: Extracting #3: cost 25 inf + 330 57.354 * * [simplify]: Extracting #4: cost 4 inf + 2256 57.355 * * [simplify]: Extracting #5: cost 0 inf + 2704 57.356 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 57.356 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))) (sqrt k))) 57.356 * * * * [progress]: [ 70 / 276 ] simplifiying candidate # 57.357 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 57.357 * * [simplify]: iters left: 6 (7 enodes) 57.362 * * [simplify]: iters left: 5 (31 enodes) 57.373 * * [simplify]: iters left: 4 (51 enodes) 57.390 * * [simplify]: iters left: 3 (64 enodes) 57.409 * * [simplify]: iters left: 2 (77 enodes) 57.431 * * [simplify]: iters left: 1 (84 enodes) 57.454 * * [simplify]: Extracting #0: cost 1 inf + 0 57.454 * * [simplify]: Extracting #1: cost 11 inf + 0 57.454 * * [simplify]: Extracting #2: cost 26 inf + 82 57.455 * * [simplify]: Extracting #3: cost 24 inf + 692 57.456 * * [simplify]: Extracting #4: cost 3 inf + 3057 57.457 * * [simplify]: Extracting #5: cost 0 inf + 3504 57.458 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 57.458 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))) (sqrt k))) 57.458 * * * * [progress]: [ 71 / 276 ] simplifiying candidate # 57.459 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 57.459 * * [simplify]: iters left: 6 (7 enodes) 57.467 * * [simplify]: iters left: 5 (31 enodes) 57.474 * * [simplify]: iters left: 4 (51 enodes) 57.483 * * [simplify]: iters left: 3 (64 enodes) 57.493 * * [simplify]: iters left: 2 (77 enodes) 57.505 * * [simplify]: iters left: 1 (84 enodes) 57.517 * * [simplify]: Extracting #0: cost 1 inf + 0 57.517 * * [simplify]: Extracting #1: cost 11 inf + 0 57.517 * * [simplify]: Extracting #2: cost 26 inf + 42 57.517 * * [simplify]: Extracting #3: cost 24 inf + 452 57.518 * * [simplify]: Extracting #4: cost 3 inf + 2337 57.518 * * [simplify]: Extracting #5: cost 0 inf + 2704 57.519 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 57.519 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))) (sqrt k))) 57.519 * * * * [progress]: [ 72 / 276 ] simplifiying candidate # 57.519 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 57.519 * * [simplify]: iters left: 6 (6 enodes) 57.522 * * [simplify]: iters left: 5 (29 enodes) 57.532 * * [simplify]: iters left: 4 (44 enodes) 57.540 * * [simplify]: iters left: 3 (50 enodes) 57.549 * * [simplify]: iters left: 2 (57 enodes) 57.559 * * [simplify]: Extracting #0: cost 1 inf + 0 57.559 * * [simplify]: Extracting #1: cost 9 inf + 0 57.559 * * [simplify]: Extracting #2: cost 15 inf + 3 57.559 * * [simplify]: Extracting #3: cost 11 inf + 131 57.560 * * [simplify]: Extracting #4: cost 2 inf + 711 57.560 * * [simplify]: Extracting #5: cost 0 inf + 836 57.560 * [simplify]: Simplified to (- 1/4 (/ k 4)) 57.560 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))) (sqrt k))) 57.560 * * * * [progress]: [ 73 / 276 ] simplifiying candidate # 57.560 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 57.560 * * [simplify]: iters left: 6 (7 enodes) 57.563 * * [simplify]: iters left: 5 (31 enodes) 57.569 * * [simplify]: iters left: 4 (51 enodes) 57.582 * * [simplify]: iters left: 3 (64 enodes) 57.592 * * [simplify]: iters left: 2 (77 enodes) 57.603 * * [simplify]: iters left: 1 (84 enodes) 57.615 * * [simplify]: Extracting #0: cost 1 inf + 0 57.615 * * [simplify]: Extracting #1: cost 11 inf + 0 57.615 * * [simplify]: Extracting #2: cost 26 inf + 82 57.615 * * [simplify]: Extracting #3: cost 24 inf + 692 57.615 * * [simplify]: Extracting #4: cost 3 inf + 3057 57.616 * * [simplify]: Extracting #5: cost 0 inf + 3504 57.616 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 57.616 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))) (sqrt k))) 57.617 * * * * [progress]: [ 74 / 276 ] simplifiying candidate # 57.617 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 57.617 * * [simplify]: iters left: 6 (7 enodes) 57.620 * * [simplify]: iters left: 5 (31 enodes) 57.628 * * [simplify]: iters left: 4 (51 enodes) 57.644 * * [simplify]: iters left: 3 (64 enodes) 57.668 * * [simplify]: iters left: 2 (77 enodes) 57.690 * * [simplify]: iters left: 1 (84 enodes) 57.701 * * [simplify]: Extracting #0: cost 1 inf + 0 57.701 * * [simplify]: Extracting #1: cost 11 inf + 0 57.701 * * [simplify]: Extracting #2: cost 26 inf + 42 57.701 * * [simplify]: Extracting #3: cost 24 inf + 452 57.702 * * [simplify]: Extracting #4: cost 3 inf + 2337 57.702 * * [simplify]: Extracting #5: cost 0 inf + 2704 57.703 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 57.703 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))) (sqrt k))) 57.703 * * * * [progress]: [ 75 / 276 ] simplifiying candidate # 57.703 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 57.704 * * [simplify]: iters left: 6 (6 enodes) 57.706 * * [simplify]: iters left: 5 (29 enodes) 57.712 * * [simplify]: iters left: 4 (44 enodes) 57.719 * * [simplify]: iters left: 3 (50 enodes) 57.727 * * [simplify]: iters left: 2 (57 enodes) 57.736 * * [simplify]: Extracting #0: cost 1 inf + 0 57.736 * * [simplify]: Extracting #1: cost 9 inf + 0 57.736 * * [simplify]: Extracting #2: cost 15 inf + 3 57.736 * * [simplify]: Extracting #3: cost 11 inf + 131 57.737 * * [simplify]: Extracting #4: cost 2 inf + 711 57.737 * * [simplify]: Extracting #5: cost 0 inf + 836 57.737 * [simplify]: Simplified to (- 1/4 (/ k 4)) 57.737 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4)))) (sqrt k))) 57.737 * * * * [progress]: [ 76 / 276 ] simplifiying candidate # 57.737 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 57.737 * * [simplify]: iters left: 4 (5 enodes) 57.740 * * [simplify]: iters left: 3 (20 enodes) 57.744 * * [simplify]: iters left: 2 (27 enodes) 57.749 * * [simplify]: iters left: 1 (29 enodes) 57.754 * * [simplify]: Extracting #0: cost 1 inf + 0 57.754 * * [simplify]: Extracting #1: cost 8 inf + 0 57.754 * * [simplify]: Extracting #2: cost 4 inf + 449 57.754 * * [simplify]: Extracting #3: cost 0 inf + 895 57.754 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 57.754 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2)))) (sqrt k))) 57.754 * * * * [progress]: [ 77 / 276 ] simplifiying candidate # 57.755 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 57.755 * * [simplify]: iters left: 4 (5 enodes) 57.759 * * [simplify]: iters left: 3 (20 enodes) 57.770 * * [simplify]: iters left: 2 (27 enodes) 57.778 * * [simplify]: iters left: 1 (29 enodes) 57.786 * * [simplify]: Extracting #0: cost 1 inf + 0 57.786 * * [simplify]: Extracting #1: cost 8 inf + 0 57.786 * * [simplify]: Extracting #2: cost 4 inf + 289 57.786 * * [simplify]: Extracting #3: cost 0 inf + 575 57.786 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 57.786 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2)))) (sqrt k))) 57.787 * * * * [progress]: [ 78 / 276 ] simplifiying candidate # 57.787 * [simplify]: Simplifying (/ (/ 1 2) 2) 57.787 * * [simplify]: iters left: 4 (4 enodes) 57.790 * * [simplify]: iters left: 3 (19 enodes) 57.793 * * [simplify]: iters left: 2 (23 enodes) 57.797 * * [simplify]: Extracting #0: cost 1 inf + 0 57.797 * * [simplify]: Extracting #1: cost 0 inf + 1 57.797 * [simplify]: Simplified to 1/4 57.797 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4)) (sqrt k))) 57.797 * * * * [progress]: [ 79 / 276 ] simplifiying candidate # 57.797 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 57.798 * * [simplify]: iters left: 6 (6 enodes) 57.800 * * [simplify]: iters left: 5 (29 enodes) 57.806 * * [simplify]: iters left: 4 (44 enodes) 57.812 * * [simplify]: iters left: 3 (50 enodes) 57.826 * * [simplify]: iters left: 2 (57 enodes) 57.842 * * [simplify]: Extracting #0: cost 1 inf + 0 57.842 * * [simplify]: Extracting #1: cost 9 inf + 0 57.842 * * [simplify]: Extracting #2: cost 15 inf + 3 57.842 * * [simplify]: Extracting #3: cost 11 inf + 131 57.843 * * [simplify]: Extracting #4: cost 2 inf + 711 57.843 * * [simplify]: Extracting #5: cost 0 inf + 836 57.844 * [simplify]: Simplified to (- 1/4 (/ k 4)) 57.844 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4)))) (sqrt k))) 57.844 * * * * [progress]: [ 80 / 276 ] simplifiying candidate # 57.844 * [simplify]: Simplifying (/ 1 2) 57.844 * * [simplify]: iters left: 2 (3 enodes) 57.847 * * [simplify]: iters left: 1 (12 enodes) 57.852 * * [simplify]: Extracting #0: cost 1 inf + 0 57.852 * * [simplify]: Extracting #1: cost 0 inf + 1 57.852 * [simplify]: Simplified to 1/2 57.852 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2)) (sqrt k))) 57.852 * * * * [progress]: [ 81 / 276 ] simplifiying candidate # 57.853 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 57.853 * * [simplify]: iters left: 6 (8 enodes) 57.858 * * [simplify]: iters left: 5 (38 enodes) 57.873 * * [simplify]: iters left: 4 (66 enodes) 57.897 * * [simplify]: iters left: 3 (110 enodes) 57.939 * * [simplify]: iters left: 2 (200 enodes) 58.020 * * [simplify]: iters left: 1 (403 enodes) 58.225 * * [simplify]: Extracting #0: cost 1 inf + 0 58.225 * * [simplify]: Extracting #1: cost 26 inf + 0 58.226 * * [simplify]: Extracting #2: cost 100 inf + 2 58.227 * * [simplify]: Extracting #3: cost 164 inf + 10 58.229 * * [simplify]: Extracting #4: cost 163 inf + 641 58.234 * * [simplify]: Extracting #5: cost 72 inf + 12998 58.244 * * [simplify]: Extracting #6: cost 25 inf + 35040 58.252 * * [simplify]: Extracting #7: cost 0 inf + 54806 58.265 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 58.265 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 58.266 * * * * [progress]: [ 82 / 276 ] simplifiying candidate # 58.266 * * * * [progress]: [ 83 / 276 ] simplifiying candidate # 58.266 * * * * [progress]: [ 84 / 276 ] simplifiying candidate # 58.266 * * * * [progress]: [ 85 / 276 ] simplifiying candidate # 58.266 * * * * [progress]: [ 86 / 276 ] simplifiying candidate # 58.266 * * * * [progress]: [ 87 / 276 ] simplifiying candidate # 58.266 * * * * [progress]: [ 88 / 276 ] simplifiying candidate # 58.266 * * * * [progress]: [ 89 / 276 ] simplifiying candidate # 58.266 * * * * [progress]: [ 90 / 276 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))> 58.266 * * * * [progress]: [ 91 / 276 ] simplifiying candidate # 58.266 * * * * [progress]: [ 92 / 276 ] simplifiying candidate # 58.266 * * * * [progress]: [ 93 / 276 ] simplifiying candidate # 58.267 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 58.267 * * [simplify]: iters left: 6 (14 enodes) 58.275 * * [simplify]: iters left: 5 (60 enodes) 58.289 * * [simplify]: iters left: 4 (108 enodes) 58.312 * * [simplify]: iters left: 3 (255 enodes) 58.392 * * [simplify]: Extracting #0: cost 1 inf + 0 58.392 * * [simplify]: Extracting #1: cost 34 inf + 0 58.392 * * [simplify]: Extracting #2: cost 122 inf + 73 58.393 * * [simplify]: Extracting #3: cost 134 inf + 2876 58.396 * * [simplify]: Extracting #4: cost 49 inf + 20493 58.402 * * [simplify]: Extracting #5: cost 4 inf + 30853 58.416 * * [simplify]: Extracting #6: cost 0 inf + 31808 58.430 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI))))) 58.430 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.430 * * * * [progress]: [ 94 / 276 ] simplifiying candidate # 58.430 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 58.430 * * [simplify]: iters left: 6 (13 enodes) 58.439 * * [simplify]: iters left: 5 (58 enodes) 58.457 * * [simplify]: iters left: 4 (101 enodes) 58.476 * * [simplify]: iters left: 3 (211 enodes) 58.546 * * [simplify]: Extracting #0: cost 1 inf + 0 58.546 * * [simplify]: Extracting #1: cost 28 inf + 0 58.546 * * [simplify]: Extracting #2: cost 110 inf + 73 58.547 * * [simplify]: Extracting #3: cost 127 inf + 1744 58.549 * * [simplify]: Extracting #4: cost 73 inf + 10230 58.554 * * [simplify]: Extracting #5: cost 26 inf + 20266 58.564 * * [simplify]: Extracting #6: cost 6 inf + 24692 58.575 * * [simplify]: Extracting #7: cost 0 inf + 26084 58.582 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) 58.583 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.583 * * * * [progress]: [ 95 / 276 ] simplifiying candidate # 58.583 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 58.583 * * [simplify]: iters left: 6 (12 enodes) 58.588 * * [simplify]: iters left: 5 (57 enodes) 58.599 * * [simplify]: iters left: 4 (111 enodes) 58.625 * * [simplify]: iters left: 3 (214 enodes) 58.689 * * [simplify]: iters left: 2 (472 enodes) 58.903 * * [simplify]: Extracting #0: cost 1 inf + 0 58.903 * * [simplify]: Extracting #1: cost 40 inf + 0 58.904 * * [simplify]: Extracting #2: cost 158 inf + 4 58.906 * * [simplify]: Extracting #3: cost 193 inf + 1443 58.914 * * [simplify]: Extracting #4: cost 88 inf + 19136 58.931 * * [simplify]: Extracting #5: cost 7 inf + 36795 58.951 * * [simplify]: Extracting #6: cost 0 inf + 38243 58.974 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 58.974 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.974 * * * * [progress]: [ 96 / 276 ] simplifiying candidate # 58.974 * * * * [progress]: [ 97 / 276 ] simplifiying candidate # 58.975 * [simplify]: Simplifying (* n (* 2 PI)) 58.975 * * [simplify]: iters left: 4 (5 enodes) 58.978 * * [simplify]: iters left: 3 (19 enodes) 58.984 * * [simplify]: iters left: 2 (27 enodes) 58.993 * * [simplify]: iters left: 1 (32 enodes) 59.001 * * [simplify]: Extracting #0: cost 1 inf + 0 59.002 * * [simplify]: Extracting #1: cost 8 inf + 0 59.002 * * [simplify]: Extracting #2: cost 7 inf + 45 59.002 * * [simplify]: Extracting #3: cost 0 inf + 421 59.002 * [simplify]: Simplified to (* (* PI 2) n) 59.002 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.002 * * * * [progress]: [ 98 / 276 ] simplifiying candidate # 59.003 * [simplify]: Simplifying (* n (* 2 PI)) 59.003 * * [simplify]: iters left: 4 (5 enodes) 59.006 * * [simplify]: iters left: 3 (19 enodes) 59.012 * * [simplify]: iters left: 2 (27 enodes) 59.020 * * [simplify]: iters left: 1 (32 enodes) 59.028 * * [simplify]: Extracting #0: cost 1 inf + 0 59.028 * * [simplify]: Extracting #1: cost 8 inf + 0 59.029 * * [simplify]: Extracting #2: cost 7 inf + 45 59.029 * * [simplify]: Extracting #3: cost 0 inf + 421 59.029 * [simplify]: Simplified to (* (* PI 2) n) 59.029 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.029 * * * * [progress]: [ 99 / 276 ] simplifiying candidate # 59.030 * [simplify]: Simplifying (* n (* 2 PI)) 59.030 * * [simplify]: iters left: 4 (5 enodes) 59.032 * * [simplify]: iters left: 3 (19 enodes) 59.038 * * [simplify]: iters left: 2 (27 enodes) 59.043 * * [simplify]: iters left: 1 (32 enodes) 59.047 * * [simplify]: Extracting #0: cost 1 inf + 0 59.047 * * [simplify]: Extracting #1: cost 8 inf + 0 59.047 * * [simplify]: Extracting #2: cost 7 inf + 45 59.047 * * [simplify]: Extracting #3: cost 0 inf + 421 59.047 * [simplify]: Simplified to (* (* PI 2) n) 59.047 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.047 * * * * [progress]: [ 100 / 276 ] simplifiying candidate # 59.048 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 59.048 * * [simplify]: iters left: 5 (9 enodes) 59.051 * * [simplify]: iters left: 4 (37 enodes) 59.057 * * [simplify]: iters left: 3 (57 enodes) 59.067 * * [simplify]: iters left: 2 (93 enodes) 59.096 * * [simplify]: iters left: 1 (170 enodes) 59.164 * * [simplify]: Extracting #0: cost 1 inf + 0 59.164 * * [simplify]: Extracting #1: cost 13 inf + 0 59.164 * * [simplify]: Extracting #2: cost 59 inf + 1 59.165 * * [simplify]: Extracting #3: cost 78 inf + 176 59.166 * * [simplify]: Extracting #4: cost 40 inf + 3875 59.170 * * [simplify]: Extracting #5: cost 7 inf + 16988 59.174 * * [simplify]: Extracting #6: cost 0 inf + 20577 59.176 * * [simplify]: Extracting #7: cost 0 inf + 20336 59.179 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 59.179 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.179 * * * * [progress]: [ 101 / 276 ] simplifiying candidate # 59.180 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 59.180 * * [simplify]: iters left: 6 (7 enodes) 59.183 * * [simplify]: iters left: 5 (32 enodes) 59.189 * * [simplify]: iters left: 4 (47 enodes) 59.197 * * [simplify]: iters left: 3 (53 enodes) 59.211 * * [simplify]: iters left: 2 (60 enodes) 59.232 * * [simplify]: Extracting #0: cost 1 inf + 0 59.232 * * [simplify]: Extracting #1: cost 3 inf + 0 59.232 * * [simplify]: Extracting #2: cost 11 inf + 0 59.232 * * [simplify]: Extracting #3: cost 17 inf + 3 59.232 * * [simplify]: Extracting #4: cost 14 inf + 129 59.233 * * [simplify]: Extracting #5: cost 3 inf + 794 59.233 * * [simplify]: Extracting #6: cost 0 inf + 1162 59.234 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 59.234 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.234 * * * * [progress]: [ 102 / 276 ] simplifiying candidate # 59.234 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 59.235 * * [simplify]: iters left: 6 (7 enodes) 59.239 * * [simplify]: iters left: 5 (32 enodes) 59.251 * * [simplify]: iters left: 4 (47 enodes) 59.265 * * [simplify]: iters left: 3 (53 enodes) 59.281 * * [simplify]: iters left: 2 (60 enodes) 59.291 * * [simplify]: Extracting #0: cost 1 inf + 0 59.291 * * [simplify]: Extracting #1: cost 3 inf + 0 59.291 * * [simplify]: Extracting #2: cost 11 inf + 0 59.291 * * [simplify]: Extracting #3: cost 17 inf + 3 59.291 * * [simplify]: Extracting #4: cost 14 inf + 129 59.291 * * [simplify]: Extracting #5: cost 3 inf + 794 59.291 * * [simplify]: Extracting #6: cost 0 inf + 1082 59.292 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 59.292 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.292 * * * * [progress]: [ 103 / 276 ] simplifiying candidate # 59.292 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 59.292 * * [simplify]: iters left: 6 (8 enodes) 59.295 * * [simplify]: iters left: 5 (32 enodes) 59.300 * * [simplify]: iters left: 4 (41 enodes) 59.307 * * [simplify]: Extracting #0: cost 1 inf + 0 59.307 * * [simplify]: Extracting #1: cost 4 inf + 0 59.307 * * [simplify]: Extracting #2: cost 8 inf + 0 59.307 * * [simplify]: Extracting #3: cost 9 inf + 163 59.307 * * [simplify]: Extracting #4: cost 13 inf + 164 59.307 * * [simplify]: Extracting #5: cost 10 inf + 249 59.307 * * [simplify]: Extracting #6: cost 3 inf + 986 59.308 * * [simplify]: Extracting #7: cost 0 inf + 1474 59.308 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 59.308 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.308 * * * * [progress]: [ 104 / 276 ] simplifiying candidate # 59.308 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 59.308 * * [simplify]: iters left: 6 (8 enodes) 59.312 * * [simplify]: iters left: 5 (32 enodes) 59.322 * * [simplify]: iters left: 4 (41 enodes) 59.335 * * [simplify]: Extracting #0: cost 1 inf + 0 59.335 * * [simplify]: Extracting #1: cost 4 inf + 0 59.335 * * [simplify]: Extracting #2: cost 8 inf + 0 59.335 * * [simplify]: Extracting #3: cost 9 inf + 83 59.335 * * [simplify]: Extracting #4: cost 13 inf + 84 59.335 * * [simplify]: Extracting #5: cost 10 inf + 169 59.335 * * [simplify]: Extracting #6: cost 3 inf + 866 59.336 * * [simplify]: Extracting #7: cost 0 inf + 1314 59.336 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 59.336 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.337 * * * * [progress]: [ 105 / 276 ] simplifiying candidate # 59.337 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 59.337 * * [simplify]: iters left: 6 (7 enodes) 59.342 * * [simplify]: iters left: 5 (29 enodes) 59.355 * * [simplify]: iters left: 4 (38 enodes) 59.366 * * [simplify]: Extracting #0: cost 1 inf + 0 59.366 * * [simplify]: Extracting #1: cost 4 inf + 0 59.366 * * [simplify]: Extracting #2: cost 5 inf + 1 59.366 * * [simplify]: Extracting #3: cost 9 inf + 1 59.366 * * [simplify]: Extracting #4: cost 13 inf + 2 59.367 * * [simplify]: Extracting #5: cost 12 inf + 4 59.367 * * [simplify]: Extracting #6: cost 2 inf + 746 59.367 * * [simplify]: Extracting #7: cost 0 inf + 1152 59.368 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 59.368 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.368 * * * * [progress]: [ 106 / 276 ] simplifiying candidate # 59.368 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 59.369 * * [simplify]: iters left: 6 (8 enodes) 59.372 * * [simplify]: iters left: 5 (32 enodes) 59.378 * * [simplify]: iters left: 4 (41 enodes) 59.385 * * [simplify]: Extracting #0: cost 1 inf + 0 59.386 * * [simplify]: Extracting #1: cost 4 inf + 0 59.386 * * [simplify]: Extracting #2: cost 8 inf + 0 59.386 * * [simplify]: Extracting #3: cost 9 inf + 163 59.386 * * [simplify]: Extracting #4: cost 13 inf + 164 59.386 * * [simplify]: Extracting #5: cost 10 inf + 249 59.386 * * [simplify]: Extracting #6: cost 3 inf + 906 59.386 * * [simplify]: Extracting #7: cost 0 inf + 1314 59.386 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 59.386 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.387 * * * * [progress]: [ 107 / 276 ] simplifiying candidate # 59.387 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 59.387 * * [simplify]: iters left: 6 (8 enodes) 59.390 * * [simplify]: iters left: 5 (32 enodes) 59.396 * * [simplify]: iters left: 4 (41 enodes) 59.404 * * [simplify]: Extracting #0: cost 1 inf + 0 59.404 * * [simplify]: Extracting #1: cost 4 inf + 0 59.404 * * [simplify]: Extracting #2: cost 8 inf + 0 59.404 * * [simplify]: Extracting #3: cost 9 inf + 83 59.404 * * [simplify]: Extracting #4: cost 13 inf + 84 59.404 * * [simplify]: Extracting #5: cost 10 inf + 169 59.404 * * [simplify]: Extracting #6: cost 3 inf + 786 59.404 * * [simplify]: Extracting #7: cost 0 inf + 1154 59.404 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 59.404 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.405 * * * * [progress]: [ 108 / 276 ] simplifiying candidate # 59.405 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 59.405 * * [simplify]: iters left: 6 (7 enodes) 59.408 * * [simplify]: iters left: 5 (29 enodes) 59.413 * * [simplify]: iters left: 4 (38 enodes) 59.419 * * [simplify]: Extracting #0: cost 1 inf + 0 59.419 * * [simplify]: Extracting #1: cost 4 inf + 0 59.419 * * [simplify]: Extracting #2: cost 5 inf + 1 59.419 * * [simplify]: Extracting #3: cost 9 inf + 1 59.419 * * [simplify]: Extracting #4: cost 13 inf + 2 59.419 * * [simplify]: Extracting #5: cost 12 inf + 4 59.419 * * [simplify]: Extracting #6: cost 2 inf + 666 59.419 * * [simplify]: Extracting #7: cost 0 inf + 992 59.420 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 59.420 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.420 * * * * [progress]: [ 109 / 276 ] simplifiying candidate # 59.420 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 59.420 * * [simplify]: iters left: 6 (8 enodes) 59.423 * * [simplify]: iters left: 5 (30 enodes) 59.428 * * [simplify]: iters left: 4 (37 enodes) 59.435 * * [simplify]: Extracting #0: cost 1 inf + 0 59.435 * * [simplify]: Extracting #1: cost 6 inf + 0 59.435 * * [simplify]: Extracting #2: cost 12 inf + 0 59.435 * * [simplify]: Extracting #3: cost 11 inf + 405 59.435 * * [simplify]: Extracting #4: cost 10 inf + 407 59.435 * * [simplify]: Extracting #5: cost 4 inf + 1220 59.436 * * [simplify]: Extracting #6: cost 0 inf + 1869 59.436 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 59.436 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.436 * * * * [progress]: [ 110 / 276 ] simplifiying candidate # 59.436 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 59.436 * * [simplify]: iters left: 6 (9 enodes) 59.440 * * [simplify]: iters left: 5 (33 enodes) 59.451 * * [simplify]: iters left: 4 (43 enodes) 59.469 * * [simplify]: iters left: 3 (45 enodes) 59.483 * * [simplify]: Extracting #0: cost 1 inf + 0 59.484 * * [simplify]: Extracting #1: cost 8 inf + 0 59.484 * * [simplify]: Extracting #2: cost 16 inf + 0 59.484 * * [simplify]: Extracting #3: cost 16 inf + 284 59.484 * * [simplify]: Extracting #4: cost 11 inf + 610 59.484 * * [simplify]: Extracting #5: cost 8 inf + 815 59.485 * * [simplify]: Extracting #6: cost 0 inf + 2517 59.486 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 59.486 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.486 * * * * [progress]: [ 111 / 276 ] simplifiying candidate # 59.486 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 59.486 * * [simplify]: iters left: 6 (8 enodes) 59.491 * * [simplify]: iters left: 5 (30 enodes) 59.502 * * [simplify]: iters left: 4 (40 enodes) 59.515 * * [simplify]: iters left: 3 (42 enodes) 59.527 * * [simplify]: Extracting #0: cost 1 inf + 0 59.527 * * [simplify]: Extracting #1: cost 8 inf + 0 59.528 * * [simplify]: Extracting #2: cost 12 inf + 82 59.528 * * [simplify]: Extracting #3: cost 13 inf + 405 59.528 * * [simplify]: Extracting #4: cost 12 inf + 407 59.528 * * [simplify]: Extracting #5: cost 5 inf + 1383 59.529 * * [simplify]: Extracting #6: cost 0 inf + 2195 59.529 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 59.529 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.530 * * * * [progress]: [ 112 / 276 ] simplifiying candidate # 59.530 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 59.530 * * [simplify]: iters left: 6 (9 enodes) 59.535 * * [simplify]: iters left: 5 (33 enodes) 59.542 * * [simplify]: iters left: 4 (43 enodes) 59.550 * * [simplify]: iters left: 3 (45 enodes) 59.559 * * [simplify]: Extracting #0: cost 1 inf + 0 59.559 * * [simplify]: Extracting #1: cost 8 inf + 0 59.559 * * [simplify]: Extracting #2: cost 16 inf + 0 59.560 * * [simplify]: Extracting #3: cost 16 inf + 284 59.560 * * [simplify]: Extracting #4: cost 11 inf + 610 59.560 * * [simplify]: Extracting #5: cost 8 inf + 815 59.561 * * [simplify]: Extracting #6: cost 0 inf + 2517 59.561 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 59.561 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.562 * * * * [progress]: [ 113 / 276 ] simplifiying candidate # 59.562 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 59.562 * * [simplify]: iters left: 6 (8 enodes) 59.567 * * [simplify]: iters left: 5 (30 enodes) 59.577 * * [simplify]: iters left: 4 (35 enodes) 59.588 * * [simplify]: Extracting #0: cost 1 inf + 0 59.588 * * [simplify]: Extracting #1: cost 6 inf + 0 59.588 * * [simplify]: Extracting #2: cost 8 inf + 42 59.588 * * [simplify]: Extracting #3: cost 11 inf + 83 59.588 * * [simplify]: Extracting #4: cost 10 inf + 85 59.588 * * [simplify]: Extracting #5: cost 4 inf + 658 59.589 * * [simplify]: Extracting #6: cost 0 inf + 1227 59.589 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 59.589 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.589 * * * * [progress]: [ 114 / 276 ] simplifiying candidate # 59.590 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 59.590 * * [simplify]: iters left: 6 (8 enodes) 59.595 * * [simplify]: iters left: 5 (30 enodes) 59.606 * * [simplify]: iters left: 4 (40 enodes) 59.622 * * [simplify]: iters left: 3 (42 enodes) 59.635 * * [simplify]: Extracting #0: cost 1 inf + 0 59.635 * * [simplify]: Extracting #1: cost 8 inf + 0 59.635 * * [simplify]: Extracting #2: cost 12 inf + 42 59.635 * * [simplify]: Extracting #3: cost 13 inf + 245 59.635 * * [simplify]: Extracting #4: cost 12 inf + 247 59.636 * * [simplify]: Extracting #5: cost 5 inf + 1143 59.636 * * [simplify]: Extracting #6: cost 0 inf + 1875 59.637 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 59.637 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.637 * * * * [progress]: [ 115 / 276 ] simplifiying candidate # 59.638 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 59.638 * * [simplify]: iters left: 6 (8 enodes) 59.643 * * [simplify]: iters left: 5 (30 enodes) 59.653 * * [simplify]: iters left: 4 (40 enodes) 59.666 * * [simplify]: iters left: 3 (42 enodes) 59.675 * * [simplify]: Extracting #0: cost 1 inf + 0 59.675 * * [simplify]: Extracting #1: cost 8 inf + 0 59.675 * * [simplify]: Extracting #2: cost 11 inf + 203 59.675 * * [simplify]: Extracting #3: cost 13 inf + 405 59.675 * * [simplify]: Extracting #4: cost 12 inf + 407 59.675 * * [simplify]: Extracting #5: cost 3 inf + 1789 59.675 * * [simplify]: Extracting #6: cost 0 inf + 2195 59.676 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 59.676 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.676 * * * * [progress]: [ 116 / 276 ] simplifiying candidate # 59.676 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 59.676 * * [simplify]: iters left: 6 (8 enodes) 59.679 * * [simplify]: iters left: 5 (30 enodes) 59.684 * * [simplify]: iters left: 4 (40 enodes) 59.691 * * [simplify]: iters left: 3 (42 enodes) 59.698 * * [simplify]: Extracting #0: cost 1 inf + 0 59.698 * * [simplify]: Extracting #1: cost 8 inf + 0 59.698 * * [simplify]: Extracting #2: cost 11 inf + 123 59.698 * * [simplify]: Extracting #3: cost 13 inf + 245 59.699 * * [simplify]: Extracting #4: cost 12 inf + 247 59.699 * * [simplify]: Extracting #5: cost 3 inf + 1509 59.700 * * [simplify]: Extracting #6: cost 0 inf + 1875 59.700 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 59.700 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.700 * * * * [progress]: [ 117 / 276 ] simplifiying candidate # 59.701 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 59.701 * * [simplify]: iters left: 6 (7 enodes) 59.706 * * [simplify]: iters left: 5 (28 enodes) 59.715 * * [simplify]: iters left: 4 (35 enodes) 59.726 * * [simplify]: Extracting #0: cost 1 inf + 0 59.726 * * [simplify]: Extracting #1: cost 6 inf + 0 59.726 * * [simplify]: Extracting #2: cost 7 inf + 2 59.726 * * [simplify]: Extracting #3: cost 11 inf + 2 59.726 * * [simplify]: Extracting #4: cost 9 inf + 45 59.726 * * [simplify]: Extracting #5: cost 4 inf + 455 59.727 * * [simplify]: Extracting #6: cost 0 inf + 1066 59.727 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 59.727 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.727 * * * * [progress]: [ 118 / 276 ] simplifiying candidate # 59.728 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 59.728 * * [simplify]: iters left: 6 (8 enodes) 59.733 * * [simplify]: iters left: 5 (30 enodes) 59.743 * * [simplify]: iters left: 4 (37 enodes) 59.757 * * [simplify]: Extracting #0: cost 1 inf + 0 59.757 * * [simplify]: Extracting #1: cost 6 inf + 0 59.757 * * [simplify]: Extracting #2: cost 12 inf + 0 59.757 * * [simplify]: Extracting #3: cost 11 inf + 405 59.758 * * [simplify]: Extracting #4: cost 10 inf + 407 59.758 * * [simplify]: Extracting #5: cost 4 inf + 1100 59.758 * * [simplify]: Extracting #6: cost 0 inf + 1629 59.759 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 59.759 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.759 * * * * [progress]: [ 119 / 276 ] simplifiying candidate # 59.760 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 59.760 * * [simplify]: iters left: 6 (9 enodes) 59.765 * * [simplify]: iters left: 5 (33 enodes) 59.777 * * [simplify]: iters left: 4 (43 enodes) 59.790 * * [simplify]: iters left: 3 (45 enodes) 59.803 * * [simplify]: Extracting #0: cost 1 inf + 0 59.803 * * [simplify]: Extracting #1: cost 8 inf + 0 59.803 * * [simplify]: Extracting #2: cost 16 inf + 0 59.803 * * [simplify]: Extracting #3: cost 16 inf + 284 59.804 * * [simplify]: Extracting #4: cost 11 inf + 610 59.804 * * [simplify]: Extracting #5: cost 8 inf + 775 59.805 * * [simplify]: Extracting #6: cost 0 inf + 2197 59.805 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 59.805 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.806 * * * * [progress]: [ 120 / 276 ] simplifiying candidate # 59.806 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 59.806 * * [simplify]: iters left: 6 (8 enodes) 59.811 * * [simplify]: iters left: 5 (30 enodes) 59.821 * * [simplify]: iters left: 4 (40 enodes) 59.833 * * [simplify]: iters left: 3 (42 enodes) 59.845 * * [simplify]: Extracting #0: cost 1 inf + 0 59.845 * * [simplify]: Extracting #1: cost 8 inf + 0 59.845 * * [simplify]: Extracting #2: cost 12 inf + 82 59.846 * * [simplify]: Extracting #3: cost 13 inf + 405 59.846 * * [simplify]: Extracting #4: cost 12 inf + 407 59.846 * * [simplify]: Extracting #5: cost 5 inf + 1223 59.847 * * [simplify]: Extracting #6: cost 0 inf + 1875 59.847 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 59.847 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.848 * * * * [progress]: [ 121 / 276 ] simplifiying candidate # 59.848 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 59.848 * * [simplify]: iters left: 6 (9 enodes) 59.853 * * [simplify]: iters left: 5 (33 enodes) 59.865 * * [simplify]: iters left: 4 (43 enodes) 59.878 * * [simplify]: iters left: 3 (45 enodes) 59.891 * * [simplify]: Extracting #0: cost 1 inf + 0 59.891 * * [simplify]: Extracting #1: cost 8 inf + 0 59.891 * * [simplify]: Extracting #2: cost 16 inf + 0 59.891 * * [simplify]: Extracting #3: cost 16 inf + 284 59.892 * * [simplify]: Extracting #4: cost 11 inf + 610 59.892 * * [simplify]: Extracting #5: cost 8 inf + 775 59.892 * * [simplify]: Extracting #6: cost 0 inf + 2197 59.893 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 59.893 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.893 * * * * [progress]: [ 122 / 276 ] simplifiying candidate # 59.894 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 59.894 * * [simplify]: iters left: 6 (8 enodes) 59.899 * * [simplify]: iters left: 5 (30 enodes) 59.913 * * [simplify]: iters left: 4 (35 enodes) 59.923 * * [simplify]: Extracting #0: cost 1 inf + 0 59.923 * * [simplify]: Extracting #1: cost 6 inf + 0 59.923 * * [simplify]: Extracting #2: cost 8 inf + 42 59.923 * * [simplify]: Extracting #3: cost 11 inf + 83 59.923 * * [simplify]: Extracting #4: cost 10 inf + 85 59.923 * * [simplify]: Extracting #5: cost 4 inf + 538 59.924 * * [simplify]: Extracting #6: cost 0 inf + 987 59.924 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 59.924 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.924 * * * * [progress]: [ 123 / 276 ] simplifiying candidate # 59.925 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 59.925 * * [simplify]: iters left: 6 (8 enodes) 59.930 * * [simplify]: iters left: 5 (30 enodes) 59.938 * * [simplify]: iters left: 4 (40 enodes) 59.944 * * [simplify]: iters left: 3 (42 enodes) 59.950 * * [simplify]: Extracting #0: cost 1 inf + 0 59.951 * * [simplify]: Extracting #1: cost 8 inf + 0 59.951 * * [simplify]: Extracting #2: cost 12 inf + 42 59.951 * * [simplify]: Extracting #3: cost 13 inf + 245 59.951 * * [simplify]: Extracting #4: cost 12 inf + 247 59.951 * * [simplify]: Extracting #5: cost 5 inf + 983 59.951 * * [simplify]: Extracting #6: cost 0 inf + 1555 59.951 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 59.952 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.952 * * * * [progress]: [ 124 / 276 ] simplifiying candidate # 59.952 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 59.952 * * [simplify]: iters left: 6 (8 enodes) 59.954 * * [simplify]: iters left: 5 (30 enodes) 59.960 * * [simplify]: iters left: 4 (40 enodes) 59.966 * * [simplify]: iters left: 3 (42 enodes) 59.973 * * [simplify]: Extracting #0: cost 1 inf + 0 59.973 * * [simplify]: Extracting #1: cost 8 inf + 0 59.973 * * [simplify]: Extracting #2: cost 11 inf + 203 59.973 * * [simplify]: Extracting #3: cost 13 inf + 405 59.973 * * [simplify]: Extracting #4: cost 12 inf + 407 59.973 * * [simplify]: Extracting #5: cost 3 inf + 1549 59.974 * * [simplify]: Extracting #6: cost 0 inf + 1875 59.974 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 59.974 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.974 * * * * [progress]: [ 125 / 276 ] simplifiying candidate # 59.974 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 59.974 * * [simplify]: iters left: 6 (8 enodes) 59.977 * * [simplify]: iters left: 5 (30 enodes) 59.982 * * [simplify]: iters left: 4 (40 enodes) 59.988 * * [simplify]: iters left: 3 (42 enodes) 60.000 * * [simplify]: Extracting #0: cost 1 inf + 0 60.000 * * [simplify]: Extracting #1: cost 8 inf + 0 60.000 * * [simplify]: Extracting #2: cost 11 inf + 123 60.000 * * [simplify]: Extracting #3: cost 13 inf + 245 60.000 * * [simplify]: Extracting #4: cost 12 inf + 247 60.000 * * [simplify]: Extracting #5: cost 3 inf + 1269 60.001 * * [simplify]: Extracting #6: cost 0 inf + 1555 60.002 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 60.002 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.002 * * * * [progress]: [ 126 / 276 ] simplifiying candidate # 60.002 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 60.002 * * [simplify]: iters left: 6 (7 enodes) 60.007 * * [simplify]: iters left: 5 (28 enodes) 60.020 * * [simplify]: iters left: 4 (35 enodes) 60.030 * * [simplify]: Extracting #0: cost 1 inf + 0 60.030 * * [simplify]: Extracting #1: cost 6 inf + 0 60.030 * * [simplify]: Extracting #2: cost 7 inf + 2 60.030 * * [simplify]: Extracting #3: cost 11 inf + 2 60.030 * * [simplify]: Extracting #4: cost 9 inf + 45 60.031 * * [simplify]: Extracting #5: cost 4 inf + 375 60.031 * * [simplify]: Extracting #6: cost 0 inf + 826 60.031 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 60.031 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.032 * * * * [progress]: [ 127 / 276 ] simplifiying candidate # 60.032 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 60.032 * * [simplify]: iters left: 6 (7 enodes) 60.037 * * [simplify]: iters left: 5 (30 enodes) 60.043 * * [simplify]: iters left: 4 (49 enodes) 60.052 * * [simplify]: iters left: 3 (59 enodes) 60.061 * * [simplify]: iters left: 2 (64 enodes) 60.070 * * [simplify]: Extracting #0: cost 1 inf + 0 60.070 * * [simplify]: Extracting #1: cost 9 inf + 0 60.071 * * [simplify]: Extracting #2: cost 23 inf + 0 60.071 * * [simplify]: Extracting #3: cost 24 inf + 3 60.071 * * [simplify]: Extracting #4: cost 15 inf + 980 60.071 * * [simplify]: Extracting #5: cost 1 inf + 3007 60.072 * * [simplify]: Extracting #6: cost 0 inf + 3169 60.072 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 60.072 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.072 * * * * [progress]: [ 128 / 276 ] simplifiying candidate # 60.072 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 60.073 * * [simplify]: iters left: 6 (8 enodes) 60.076 * * [simplify]: iters left: 5 (33 enodes) 60.082 * * [simplify]: iters left: 4 (55 enodes) 60.091 * * [simplify]: iters left: 3 (72 enodes) 60.110 * * [simplify]: iters left: 2 (84 enodes) 60.138 * * [simplify]: iters left: 1 (88 enodes) 60.162 * * [simplify]: Extracting #0: cost 1 inf + 0 60.162 * * [simplify]: Extracting #1: cost 11 inf + 0 60.162 * * [simplify]: Extracting #2: cost 30 inf + 0 60.162 * * [simplify]: Extracting #3: cost 33 inf + 84 60.163 * * [simplify]: Extracting #4: cost 12 inf + 2402 60.164 * * [simplify]: Extracting #5: cost 0 inf + 4469 60.166 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 60.166 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.166 * * * * [progress]: [ 129 / 276 ] simplifiying candidate # 60.167 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 60.167 * * [simplify]: iters left: 6 (7 enodes) 60.172 * * [simplify]: iters left: 5 (30 enodes) 60.179 * * [simplify]: iters left: 4 (52 enodes) 60.188 * * [simplify]: iters left: 3 (70 enodes) 60.199 * * [simplify]: iters left: 2 (81 enodes) 60.216 * * [simplify]: iters left: 1 (84 enodes) 60.238 * * [simplify]: Extracting #0: cost 1 inf + 0 60.238 * * [simplify]: Extracting #1: cost 11 inf + 0 60.239 * * [simplify]: Extracting #2: cost 25 inf + 203 60.239 * * [simplify]: Extracting #3: cost 25 inf + 530 60.240 * * [simplify]: Extracting #4: cost 4 inf + 2936 60.241 * * [simplify]: Extracting #5: cost 0 inf + 3504 60.242 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 60.242 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.243 * * * * [progress]: [ 130 / 276 ] simplifiying candidate # 60.243 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 60.243 * * [simplify]: iters left: 6 (8 enodes) 60.249 * * [simplify]: iters left: 5 (33 enodes) 60.264 * * [simplify]: iters left: 4 (55 enodes) 60.277 * * [simplify]: iters left: 3 (72 enodes) 60.288 * * [simplify]: iters left: 2 (84 enodes) 60.300 * * [simplify]: iters left: 1 (88 enodes) 60.322 * * [simplify]: Extracting #0: cost 1 inf + 0 60.322 * * [simplify]: Extracting #1: cost 11 inf + 0 60.322 * * [simplify]: Extracting #2: cost 30 inf + 0 60.323 * * [simplify]: Extracting #3: cost 33 inf + 44 60.323 * * [simplify]: Extracting #4: cost 12 inf + 2362 60.325 * * [simplify]: Extracting #5: cost 0 inf + 4469 60.326 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 60.326 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.327 * * * * [progress]: [ 131 / 276 ] simplifiying candidate # 60.327 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 60.327 * * [simplify]: iters left: 6 (7 enodes) 60.331 * * [simplify]: iters left: 5 (30 enodes) 60.343 * * [simplify]: iters left: 4 (48 enodes) 60.357 * * [simplify]: iters left: 3 (56 enodes) 60.373 * * [simplify]: Extracting #0: cost 1 inf + 0 60.374 * * [simplify]: Extracting #1: cost 8 inf + 0 60.374 * * [simplify]: Extracting #2: cost 15 inf + 43 60.374 * * [simplify]: Extracting #3: cost 16 inf + 86 60.374 * * [simplify]: Extracting #4: cost 5 inf + 911 60.375 * * [simplify]: Extracting #5: cost 1 inf + 1198 60.375 * * [simplify]: Extracting #6: cost 0 inf + 1320 60.376 * [simplify]: Simplified to (/ (- 1 k) 2) 60.376 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.376 * * * * [progress]: [ 132 / 276 ] simplifiying candidate # 60.377 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 60.377 * * [simplify]: iters left: 6 (7 enodes) 60.381 * * [simplify]: iters left: 5 (30 enodes) 60.396 * * [simplify]: iters left: 4 (52 enodes) 60.410 * * [simplify]: iters left: 3 (70 enodes) 60.420 * * [simplify]: iters left: 2 (81 enodes) 60.432 * * [simplify]: iters left: 1 (84 enodes) 60.447 * * [simplify]: Extracting #0: cost 1 inf + 0 60.447 * * [simplify]: Extracting #1: cost 11 inf + 0 60.447 * * [simplify]: Extracting #2: cost 25 inf + 123 60.447 * * [simplify]: Extracting #3: cost 25 inf + 330 60.448 * * [simplify]: Extracting #4: cost 4 inf + 2256 60.449 * * [simplify]: Extracting #5: cost 0 inf + 2704 60.450 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 60.450 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.451 * * * * [progress]: [ 133 / 276 ] simplifiying candidate # 60.451 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 60.451 * * [simplify]: iters left: 6 (7 enodes) 60.456 * * [simplify]: iters left: 5 (31 enodes) 60.467 * * [simplify]: iters left: 4 (51 enodes) 60.480 * * [simplify]: iters left: 3 (64 enodes) 60.497 * * [simplify]: iters left: 2 (77 enodes) 60.511 * * [simplify]: iters left: 1 (84 enodes) 60.522 * * [simplify]: Extracting #0: cost 1 inf + 0 60.522 * * [simplify]: Extracting #1: cost 11 inf + 0 60.522 * * [simplify]: Extracting #2: cost 26 inf + 82 60.522 * * [simplify]: Extracting #3: cost 24 inf + 692 60.523 * * [simplify]: Extracting #4: cost 3 inf + 3057 60.523 * * [simplify]: Extracting #5: cost 0 inf + 3504 60.524 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 60.524 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.524 * * * * [progress]: [ 134 / 276 ] simplifiying candidate # 60.524 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 60.524 * * [simplify]: iters left: 6 (7 enodes) 60.527 * * [simplify]: iters left: 5 (31 enodes) 60.535 * * [simplify]: iters left: 4 (51 enodes) 60.551 * * [simplify]: iters left: 3 (64 enodes) 60.571 * * [simplify]: iters left: 2 (77 enodes) 60.584 * * [simplify]: iters left: 1 (84 enodes) 60.595 * * [simplify]: Extracting #0: cost 1 inf + 0 60.595 * * [simplify]: Extracting #1: cost 11 inf + 0 60.595 * * [simplify]: Extracting #2: cost 26 inf + 42 60.595 * * [simplify]: Extracting #3: cost 24 inf + 452 60.596 * * [simplify]: Extracting #4: cost 3 inf + 2337 60.596 * * [simplify]: Extracting #5: cost 0 inf + 2704 60.597 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 60.597 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.597 * * * * [progress]: [ 135 / 276 ] simplifiying candidate # 60.597 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 60.597 * * [simplify]: iters left: 6 (6 enodes) 60.600 * * [simplify]: iters left: 5 (29 enodes) 60.608 * * [simplify]: iters left: 4 (44 enodes) 60.621 * * [simplify]: iters left: 3 (50 enodes) 60.636 * * [simplify]: iters left: 2 (57 enodes) 60.652 * * [simplify]: Extracting #0: cost 1 inf + 0 60.652 * * [simplify]: Extracting #1: cost 9 inf + 0 60.652 * * [simplify]: Extracting #2: cost 15 inf + 3 60.652 * * [simplify]: Extracting #3: cost 11 inf + 131 60.653 * * [simplify]: Extracting #4: cost 2 inf + 711 60.653 * * [simplify]: Extracting #5: cost 0 inf + 836 60.654 * [simplify]: Simplified to (- 1/4 (/ k 4)) 60.654 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.654 * * * * [progress]: [ 136 / 276 ] simplifiying candidate # 60.654 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 60.654 * * [simplify]: iters left: 6 (9 enodes) 60.660 * * [simplify]: iters left: 5 (36 enodes) 60.673 * * [simplify]: iters left: 4 (58 enodes) 60.689 * * [simplify]: iters left: 3 (71 enodes) 60.700 * * [simplify]: iters left: 2 (79 enodes) 60.710 * * [simplify]: iters left: 1 (80 enodes) 60.721 * * [simplify]: Extracting #0: cost 1 inf + 0 60.721 * * [simplify]: Extracting #1: cost 9 inf + 0 60.721 * * [simplify]: Extracting #2: cost 24 inf + 0 60.721 * * [simplify]: Extracting #3: cost 29 inf + 2 60.721 * * [simplify]: Extracting #4: cost 10 inf + 2233 60.722 * * [simplify]: Extracting #5: cost 1 inf + 4013 60.723 * * [simplify]: Extracting #6: cost 0 inf + 4135 60.726 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 60.726 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.726 * * * * [progress]: [ 137 / 276 ] simplifiying candidate # 60.726 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 60.726 * * [simplify]: iters left: 6 (10 enodes) 60.730 * * [simplify]: iters left: 5 (39 enodes) 60.737 * * [simplify]: iters left: 4 (64 enodes) 60.747 * * [simplify]: iters left: 3 (86 enodes) 60.764 * * [simplify]: iters left: 2 (99 enodes) 60.791 * * [simplify]: iters left: 1 (104 enodes) 60.804 * * [simplify]: Extracting #0: cost 1 inf + 0 60.804 * * [simplify]: Extracting #1: cost 11 inf + 0 60.804 * * [simplify]: Extracting #2: cost 31 inf + 0 60.804 * * [simplify]: Extracting #3: cost 39 inf + 2 60.805 * * [simplify]: Extracting #4: cost 22 inf + 1871 60.805 * * [simplify]: Extracting #5: cost 4 inf + 4865 60.806 * * [simplify]: Extracting #6: cost 0 inf + 5675 60.807 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 60.807 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.808 * * * * [progress]: [ 138 / 276 ] simplifiying candidate # 60.808 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 60.808 * * [simplify]: iters left: 6 (9 enodes) 60.811 * * [simplify]: iters left: 5 (36 enodes) 60.818 * * [simplify]: iters left: 4 (61 enodes) 60.835 * * [simplify]: iters left: 3 (84 enodes) 60.859 * * [simplify]: iters left: 2 (96 enodes) 60.884 * * [simplify]: iters left: 1 (100 enodes) 60.910 * * [simplify]: Extracting #0: cost 1 inf + 0 60.910 * * [simplify]: Extracting #1: cost 11 inf + 0 60.910 * * [simplify]: Extracting #2: cost 27 inf + 82 60.910 * * [simplify]: Extracting #3: cost 29 inf + 651 60.911 * * [simplify]: Extracting #4: cost 12 inf + 2763 60.913 * * [simplify]: Extracting #5: cost 1 inf + 4587 60.914 * * [simplify]: Extracting #6: cost 0 inf + 4710 60.916 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 60.916 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.916 * * * * [progress]: [ 139 / 276 ] simplifiying candidate # 60.917 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 60.917 * * [simplify]: iters left: 6 (10 enodes) 60.924 * * [simplify]: iters left: 5 (39 enodes) 60.937 * * [simplify]: iters left: 4 (64 enodes) 60.957 * * [simplify]: iters left: 3 (86 enodes) 60.976 * * [simplify]: iters left: 2 (99 enodes) 60.990 * * [simplify]: iters left: 1 (104 enodes) 61.012 * * [simplify]: Extracting #0: cost 1 inf + 0 61.012 * * [simplify]: Extracting #1: cost 11 inf + 0 61.012 * * [simplify]: Extracting #2: cost 31 inf + 0 61.012 * * [simplify]: Extracting #3: cost 39 inf + 2 61.013 * * [simplify]: Extracting #4: cost 22 inf + 1831 61.014 * * [simplify]: Extracting #5: cost 4 inf + 4785 61.016 * * [simplify]: Extracting #6: cost 0 inf + 5595 61.018 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 61.018 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.019 * * * * [progress]: [ 140 / 276 ] simplifiying candidate # 61.019 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 61.019 * * [simplify]: iters left: 6 (9 enodes) 61.025 * * [simplify]: iters left: 5 (36 enodes) 61.038 * * [simplify]: iters left: 4 (57 enodes) 61.056 * * [simplify]: iters left: 3 (73 enodes) 61.076 * * [simplify]: iters left: 2 (80 enodes) 61.096 * * [simplify]: iters left: 1 (81 enodes) 61.119 * * [simplify]: Extracting #0: cost 1 inf + 0 61.119 * * [simplify]: Extracting #1: cost 9 inf + 0 61.119 * * [simplify]: Extracting #2: cost 18 inf + 43 61.119 * * [simplify]: Extracting #3: cost 23 inf + 85 61.120 * * [simplify]: Extracting #4: cost 9 inf + 1271 61.121 * * [simplify]: Extracting #5: cost 0 inf + 2370 61.122 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 61.122 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.122 * * * * [progress]: [ 141 / 276 ] simplifiying candidate # 61.122 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 61.122 * * [simplify]: iters left: 6 (9 enodes) 61.128 * * [simplify]: iters left: 5 (36 enodes) 61.140 * * [simplify]: iters left: 4 (61 enodes) 61.159 * * [simplify]: iters left: 3 (84 enodes) 61.183 * * [simplify]: iters left: 2 (96 enodes) 61.209 * * [simplify]: iters left: 1 (100 enodes) 61.234 * * [simplify]: Extracting #0: cost 1 inf + 0 61.234 * * [simplify]: Extracting #1: cost 11 inf + 0 61.234 * * [simplify]: Extracting #2: cost 27 inf + 42 61.234 * * [simplify]: Extracting #3: cost 29 inf + 411 61.235 * * [simplify]: Extracting #4: cost 12 inf + 2163 61.237 * * [simplify]: Extracting #5: cost 1 inf + 3707 61.238 * * [simplify]: Extracting #6: cost 0 inf + 3830 61.240 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 61.240 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.240 * * * * [progress]: [ 142 / 276 ] simplifiying candidate # 61.240 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 61.240 * * [simplify]: iters left: 6 (9 enodes) 61.247 * * [simplify]: iters left: 5 (36 enodes) 61.258 * * [simplify]: iters left: 4 (62 enodes) 61.271 * * [simplify]: iters left: 3 (78 enodes) 61.282 * * [simplify]: iters left: 2 (90 enodes) 61.294 * * [simplify]: iters left: 1 (94 enodes) 61.306 * * [simplify]: Extracting #0: cost 1 inf + 0 61.306 * * [simplify]: Extracting #1: cost 11 inf + 0 61.306 * * [simplify]: Extracting #2: cost 27 inf + 1 61.306 * * [simplify]: Extracting #3: cost 29 inf + 409 61.307 * * [simplify]: Extracting #4: cost 12 inf + 2359 61.307 * * [simplify]: Extracting #5: cost 2 inf + 4022 61.308 * * [simplify]: Extracting #6: cost 0 inf + 4466 61.309 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 61.309 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.309 * * * * [progress]: [ 143 / 276 ] simplifiying candidate # 61.309 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 61.309 * * [simplify]: iters left: 6 (9 enodes) 61.312 * * [simplify]: iters left: 5 (36 enodes) 61.319 * * [simplify]: iters left: 4 (62 enodes) 61.330 * * [simplify]: iters left: 3 (78 enodes) 61.351 * * [simplify]: iters left: 2 (90 enodes) 61.379 * * [simplify]: iters left: 1 (94 enodes) 61.402 * * [simplify]: Extracting #0: cost 1 inf + 0 61.403 * * [simplify]: Extracting #1: cost 11 inf + 0 61.403 * * [simplify]: Extracting #2: cost 27 inf + 1 61.403 * * [simplify]: Extracting #3: cost 29 inf + 249 61.404 * * [simplify]: Extracting #4: cost 12 inf + 1879 61.405 * * [simplify]: Extracting #5: cost 2 inf + 3302 61.406 * * [simplify]: Extracting #6: cost 0 inf + 3666 61.408 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 61.408 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.408 * * * * [progress]: [ 144 / 276 ] simplifiying candidate # 61.409 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 61.409 * * [simplify]: iters left: 6 (8 enodes) 61.414 * * [simplify]: iters left: 5 (34 enodes) 61.428 * * [simplify]: iters left: 4 (58 enodes) 61.444 * * [simplify]: iters left: 3 (65 enodes) 61.460 * * [simplify]: Extracting #0: cost 1 inf + 0 61.460 * * [simplify]: Extracting #1: cost 8 inf + 0 61.460 * * [simplify]: Extracting #2: cost 14 inf + 3 61.460 * * [simplify]: Extracting #3: cost 17 inf + 5 61.460 * * [simplify]: Extracting #4: cost 12 inf + 292 61.461 * * [simplify]: Extracting #5: cost 1 inf + 1355 61.461 * * [simplify]: Extracting #6: cost 0 inf + 1478 61.462 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 61.462 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.462 * * * * [progress]: [ 145 / 276 ] simplifiying candidate # 61.463 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 61.463 * * [simplify]: iters left: 6 (8 enodes) 61.467 * * [simplify]: iters left: 5 (33 enodes) 61.473 * * [simplify]: iters left: 4 (52 enodes) 61.481 * * [simplify]: iters left: 3 (62 enodes) 61.491 * * [simplify]: iters left: 2 (67 enodes) 61.503 * * [simplify]: Extracting #0: cost 1 inf + 0 61.504 * * [simplify]: Extracting #1: cost 9 inf + 0 61.504 * * [simplify]: Extracting #2: cost 23 inf + 0 61.504 * * [simplify]: Extracting #3: cost 24 inf + 285 61.504 * * [simplify]: Extracting #4: cost 18 inf + 975 61.504 * * [simplify]: Extracting #5: cost 7 inf + 2516 61.505 * * [simplify]: Extracting #6: cost 0 inf + 3891 61.505 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 61.505 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.506 * * * * [progress]: [ 146 / 276 ] simplifiying candidate # 61.506 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 61.506 * * [simplify]: iters left: 6 (9 enodes) 61.509 * * [simplify]: iters left: 5 (36 enodes) 61.516 * * [simplify]: iters left: 4 (58 enodes) 61.526 * * [simplify]: iters left: 3 (75 enodes) 61.543 * * [simplify]: iters left: 2 (87 enodes) 61.561 * * [simplify]: iters left: 1 (91 enodes) 61.574 * * [simplify]: Extracting #0: cost 1 inf + 0 61.574 * * [simplify]: Extracting #1: cost 11 inf + 0 61.574 * * [simplify]: Extracting #2: cost 30 inf + 0 61.574 * * [simplify]: Extracting #3: cost 36 inf + 83 61.574 * * [simplify]: Extracting #4: cost 30 inf + 451 61.575 * * [simplify]: Extracting #5: cost 10 inf + 3649 61.575 * * [simplify]: Extracting #6: cost 0 inf + 5431 61.576 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 61.576 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.576 * * * * [progress]: [ 147 / 276 ] simplifiying candidate # 61.577 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 61.577 * * [simplify]: iters left: 6 (8 enodes) 61.579 * * [simplify]: iters left: 5 (33 enodes) 61.591 * * [simplify]: iters left: 4 (55 enodes) 61.609 * * [simplify]: iters left: 3 (73 enodes) 61.624 * * [simplify]: iters left: 2 (84 enodes) 61.637 * * [simplify]: iters left: 1 (87 enodes) 61.649 * * [simplify]: Extracting #0: cost 1 inf + 0 61.649 * * [simplify]: Extracting #1: cost 11 inf + 0 61.649 * * [simplify]: Extracting #2: cost 25 inf + 203 61.649 * * [simplify]: Extracting #3: cost 29 inf + 407 61.649 * * [simplify]: Extracting #4: cost 24 inf + 896 61.649 * * [simplify]: Extracting #5: cost 9 inf + 2805 61.650 * * [simplify]: Extracting #6: cost 0 inf + 4466 61.651 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 61.651 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.651 * * * * [progress]: [ 148 / 276 ] simplifiying candidate # 61.651 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 61.651 * * [simplify]: iters left: 6 (9 enodes) 61.654 * * [simplify]: iters left: 5 (36 enodes) 61.661 * * [simplify]: iters left: 4 (58 enodes) 61.670 * * [simplify]: iters left: 3 (75 enodes) 61.692 * * [simplify]: iters left: 2 (87 enodes) 61.712 * * [simplify]: iters left: 1 (91 enodes) 61.725 * * [simplify]: Extracting #0: cost 1 inf + 0 61.725 * * [simplify]: Extracting #1: cost 11 inf + 0 61.725 * * [simplify]: Extracting #2: cost 30 inf + 0 61.725 * * [simplify]: Extracting #3: cost 36 inf + 43 61.725 * * [simplify]: Extracting #4: cost 30 inf + 451 61.725 * * [simplify]: Extracting #5: cost 10 inf + 3769 61.726 * * [simplify]: Extracting #6: cost 0 inf + 5431 61.727 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 61.727 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.727 * * * * [progress]: [ 149 / 276 ] simplifiying candidate # 61.728 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 61.728 * * [simplify]: iters left: 6 (8 enodes) 61.730 * * [simplify]: iters left: 5 (33 enodes) 61.739 * * [simplify]: iters left: 4 (51 enodes) 61.750 * * [simplify]: iters left: 3 (59 enodes) 61.759 * * [simplify]: Extracting #0: cost 1 inf + 0 61.759 * * [simplify]: Extracting #1: cost 8 inf + 0 61.759 * * [simplify]: Extracting #2: cost 15 inf + 43 61.759 * * [simplify]: Extracting #3: cost 19 inf + 85 61.759 * * [simplify]: Extracting #4: cost 16 inf + 250 61.759 * * [simplify]: Extracting #5: cost 5 inf + 1311 61.760 * * [simplify]: Extracting #6: cost 0 inf + 1962 61.760 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 61.760 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.760 * * * * [progress]: [ 150 / 276 ] simplifiying candidate # 61.760 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 61.761 * * [simplify]: iters left: 6 (8 enodes) 61.763 * * [simplify]: iters left: 5 (33 enodes) 61.769 * * [simplify]: iters left: 4 (55 enodes) 61.781 * * [simplify]: iters left: 3 (73 enodes) 61.796 * * [simplify]: iters left: 2 (84 enodes) 61.807 * * [simplify]: iters left: 1 (87 enodes) 61.828 * * [simplify]: Extracting #0: cost 1 inf + 0 61.828 * * [simplify]: Extracting #1: cost 11 inf + 0 61.829 * * [simplify]: Extracting #2: cost 25 inf + 123 61.829 * * [simplify]: Extracting #3: cost 29 inf + 247 61.829 * * [simplify]: Extracting #4: cost 24 inf + 576 61.830 * * [simplify]: Extracting #5: cost 9 inf + 2245 61.831 * * [simplify]: Extracting #6: cost 0 inf + 3666 61.833 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 61.833 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.833 * * * * [progress]: [ 151 / 276 ] simplifiying candidate # 61.833 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 61.833 * * [simplify]: iters left: 6 (8 enodes) 61.839 * * [simplify]: iters left: 5 (34 enodes) 61.851 * * [simplify]: iters left: 4 (54 enodes) 61.868 * * [simplify]: iters left: 3 (67 enodes) 61.888 * * [simplify]: iters left: 2 (80 enodes) 61.911 * * [simplify]: iters left: 1 (87 enodes) 61.939 * * [simplify]: Extracting #0: cost 1 inf + 0 61.939 * * [simplify]: Extracting #1: cost 11 inf + 0 61.939 * * [simplify]: Extracting #2: cost 25 inf + 203 61.939 * * [simplify]: Extracting #3: cost 26 inf + 773 61.940 * * [simplify]: Extracting #4: cost 24 inf + 896 61.941 * * [simplify]: Extracting #5: cost 8 inf + 3127 61.942 * * [simplify]: Extracting #6: cost 0 inf + 4466 61.943 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 61.943 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.943 * * * * [progress]: [ 152 / 276 ] simplifiying candidate # 61.943 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 61.943 * * [simplify]: iters left: 6 (8 enodes) 61.947 * * [simplify]: iters left: 5 (34 enodes) 61.953 * * [simplify]: iters left: 4 (54 enodes) 61.962 * * [simplify]: iters left: 3 (67 enodes) 61.973 * * [simplify]: iters left: 2 (80 enodes) 61.990 * * [simplify]: iters left: 1 (87 enodes) 62.014 * * [simplify]: Extracting #0: cost 1 inf + 0 62.014 * * [simplify]: Extracting #1: cost 11 inf + 0 62.015 * * [simplify]: Extracting #2: cost 25 inf + 123 62.015 * * [simplify]: Extracting #3: cost 26 inf + 493 62.015 * * [simplify]: Extracting #4: cost 24 inf + 576 62.016 * * [simplify]: Extracting #5: cost 8 inf + 2527 62.017 * * [simplify]: Extracting #6: cost 0 inf + 3666 62.019 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 62.019 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.019 * * * * [progress]: [ 153 / 276 ] simplifiying candidate # 62.019 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 62.020 * * [simplify]: iters left: 6 (7 enodes) 62.025 * * [simplify]: iters left: 5 (32 enodes) 62.036 * * [simplify]: iters left: 4 (50 enodes) 62.045 * * [simplify]: iters left: 3 (54 enodes) 62.056 * * [simplify]: Extracting #0: cost 1 inf + 0 62.056 * * [simplify]: Extracting #1: cost 8 inf + 0 62.056 * * [simplify]: Extracting #2: cost 13 inf + 3 62.056 * * [simplify]: Extracting #3: cost 15 inf + 5 62.057 * * [simplify]: Extracting #4: cost 14 inf + 6 62.057 * * [simplify]: Extracting #5: cost 4 inf + 825 62.057 * * [simplify]: Extracting #6: cost 0 inf + 1234 62.057 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 62.057 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.057 * * * * [progress]: [ 154 / 276 ] simplifiying candidate # 62.058 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 62.058 * * [simplify]: iters left: 6 (7 enodes) 62.060 * * [simplify]: iters left: 5 (30 enodes) 62.066 * * [simplify]: iters left: 4 (49 enodes) 62.076 * * [simplify]: iters left: 3 (59 enodes) 62.093 * * [simplify]: iters left: 2 (64 enodes) 62.111 * * [simplify]: Extracting #0: cost 1 inf + 0 62.111 * * [simplify]: Extracting #1: cost 9 inf + 0 62.111 * * [simplify]: Extracting #2: cost 23 inf + 0 62.112 * * [simplify]: Extracting #3: cost 24 inf + 3 62.112 * * [simplify]: Extracting #4: cost 15 inf + 980 62.113 * * [simplify]: Extracting #5: cost 1 inf + 3007 62.114 * * [simplify]: Extracting #6: cost 0 inf + 3169 62.115 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 62.115 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.115 * * * * [progress]: [ 155 / 276 ] simplifiying candidate # 62.115 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 62.115 * * [simplify]: iters left: 6 (8 enodes) 62.121 * * [simplify]: iters left: 5 (33 enodes) 62.133 * * [simplify]: iters left: 4 (55 enodes) 62.150 * * [simplify]: iters left: 3 (72 enodes) 62.167 * * [simplify]: iters left: 2 (84 enodes) 62.182 * * [simplify]: iters left: 1 (88 enodes) 62.201 * * [simplify]: Extracting #0: cost 1 inf + 0 62.201 * * [simplify]: Extracting #1: cost 11 inf + 0 62.201 * * [simplify]: Extracting #2: cost 30 inf + 0 62.202 * * [simplify]: Extracting #3: cost 33 inf + 84 62.202 * * [simplify]: Extracting #4: cost 12 inf + 2402 62.204 * * [simplify]: Extracting #5: cost 0 inf + 4469 62.205 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 62.205 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.205 * * * * [progress]: [ 156 / 276 ] simplifiying candidate # 62.206 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 62.206 * * [simplify]: iters left: 6 (7 enodes) 62.208 * * [simplify]: iters left: 5 (30 enodes) 62.214 * * [simplify]: iters left: 4 (52 enodes) 62.223 * * [simplify]: iters left: 3 (70 enodes) 62.234 * * [simplify]: iters left: 2 (81 enodes) 62.245 * * [simplify]: iters left: 1 (84 enodes) 62.257 * * [simplify]: Extracting #0: cost 1 inf + 0 62.257 * * [simplify]: Extracting #1: cost 11 inf + 0 62.257 * * [simplify]: Extracting #2: cost 25 inf + 203 62.257 * * [simplify]: Extracting #3: cost 25 inf + 530 62.257 * * [simplify]: Extracting #4: cost 4 inf + 2936 62.258 * * [simplify]: Extracting #5: cost 0 inf + 3504 62.259 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 62.259 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.259 * * * * [progress]: [ 157 / 276 ] simplifiying candidate # 62.259 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 62.259 * * [simplify]: iters left: 6 (8 enodes) 62.262 * * [simplify]: iters left: 5 (33 enodes) 62.271 * * [simplify]: iters left: 4 (55 enodes) 62.280 * * [simplify]: iters left: 3 (72 enodes) 62.295 * * [simplify]: iters left: 2 (84 enodes) 62.307 * * [simplify]: iters left: 1 (88 enodes) 62.319 * * [simplify]: Extracting #0: cost 1 inf + 0 62.320 * * [simplify]: Extracting #1: cost 11 inf + 0 62.320 * * [simplify]: Extracting #2: cost 30 inf + 0 62.320 * * [simplify]: Extracting #3: cost 33 inf + 44 62.320 * * [simplify]: Extracting #4: cost 12 inf + 2362 62.321 * * [simplify]: Extracting #5: cost 0 inf + 4469 62.321 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 62.321 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.322 * * * * [progress]: [ 158 / 276 ] simplifiying candidate # 62.322 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 62.322 * * [simplify]: iters left: 6 (7 enodes) 62.325 * * [simplify]: iters left: 5 (30 enodes) 62.331 * * [simplify]: iters left: 4 (48 enodes) 62.345 * * [simplify]: iters left: 3 (56 enodes) 62.358 * * [simplify]: Extracting #0: cost 1 inf + 0 62.358 * * [simplify]: Extracting #1: cost 8 inf + 0 62.358 * * [simplify]: Extracting #2: cost 15 inf + 43 62.358 * * [simplify]: Extracting #3: cost 16 inf + 86 62.358 * * [simplify]: Extracting #4: cost 5 inf + 911 62.358 * * [simplify]: Extracting #5: cost 1 inf + 1198 62.359 * * [simplify]: Extracting #6: cost 0 inf + 1320 62.359 * [simplify]: Simplified to (/ (- 1 k) 2) 62.359 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.359 * * * * [progress]: [ 159 / 276 ] simplifiying candidate # 62.359 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 62.359 * * [simplify]: iters left: 6 (7 enodes) 62.365 * * [simplify]: iters left: 5 (30 enodes) 62.370 * * [simplify]: iters left: 4 (52 enodes) 62.380 * * [simplify]: iters left: 3 (70 enodes) 62.398 * * [simplify]: iters left: 2 (81 enodes) 62.418 * * [simplify]: iters left: 1 (84 enodes) 62.429 * * [simplify]: Extracting #0: cost 1 inf + 0 62.430 * * [simplify]: Extracting #1: cost 11 inf + 0 62.430 * * [simplify]: Extracting #2: cost 25 inf + 123 62.430 * * [simplify]: Extracting #3: cost 25 inf + 330 62.430 * * [simplify]: Extracting #4: cost 4 inf + 2256 62.431 * * [simplify]: Extracting #5: cost 0 inf + 2704 62.432 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 62.432 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.432 * * * * [progress]: [ 160 / 276 ] simplifiying candidate # 62.432 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 62.432 * * [simplify]: iters left: 6 (7 enodes) 62.435 * * [simplify]: iters left: 5 (31 enodes) 62.441 * * [simplify]: iters left: 4 (51 enodes) 62.455 * * [simplify]: iters left: 3 (64 enodes) 62.475 * * [simplify]: iters left: 2 (77 enodes) 62.500 * * [simplify]: iters left: 1 (84 enodes) 62.522 * * [simplify]: Extracting #0: cost 1 inf + 0 62.522 * * [simplify]: Extracting #1: cost 11 inf + 0 62.523 * * [simplify]: Extracting #2: cost 26 inf + 82 62.523 * * [simplify]: Extracting #3: cost 24 inf + 692 62.524 * * [simplify]: Extracting #4: cost 3 inf + 3057 62.525 * * [simplify]: Extracting #5: cost 0 inf + 3504 62.526 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 62.526 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.526 * * * * [progress]: [ 161 / 276 ] simplifiying candidate # 62.527 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 62.527 * * [simplify]: iters left: 6 (7 enodes) 62.532 * * [simplify]: iters left: 5 (31 enodes) 62.543 * * [simplify]: iters left: 4 (51 enodes) 62.558 * * [simplify]: iters left: 3 (64 enodes) 62.577 * * [simplify]: iters left: 2 (77 enodes) 62.599 * * [simplify]: iters left: 1 (84 enodes) 62.620 * * [simplify]: Extracting #0: cost 1 inf + 0 62.620 * * [simplify]: Extracting #1: cost 11 inf + 0 62.621 * * [simplify]: Extracting #2: cost 26 inf + 42 62.621 * * [simplify]: Extracting #3: cost 24 inf + 452 62.622 * * [simplify]: Extracting #4: cost 3 inf + 2337 62.623 * * [simplify]: Extracting #5: cost 0 inf + 2704 62.624 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 62.624 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.624 * * * * [progress]: [ 162 / 276 ] simplifiying candidate # 62.624 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 62.625 * * [simplify]: iters left: 6 (6 enodes) 62.629 * * [simplify]: iters left: 5 (29 enodes) 62.642 * * [simplify]: iters left: 4 (44 enodes) 62.655 * * [simplify]: iters left: 3 (50 enodes) 62.664 * * [simplify]: iters left: 2 (57 enodes) 62.673 * * [simplify]: Extracting #0: cost 1 inf + 0 62.673 * * [simplify]: Extracting #1: cost 9 inf + 0 62.674 * * [simplify]: Extracting #2: cost 15 inf + 3 62.674 * * [simplify]: Extracting #3: cost 11 inf + 131 62.674 * * [simplify]: Extracting #4: cost 2 inf + 711 62.674 * * [simplify]: Extracting #5: cost 0 inf + 836 62.674 * [simplify]: Simplified to (- 1/4 (/ k 4)) 62.674 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.675 * * * * [progress]: [ 163 / 276 ] simplifiying candidate # 62.675 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 62.675 * * [simplify]: iters left: 6 (7 enodes) 62.678 * * [simplify]: iters left: 5 (31 enodes) 62.685 * * [simplify]: iters left: 4 (51 enodes) 62.701 * * [simplify]: iters left: 3 (64 enodes) 62.714 * * [simplify]: iters left: 2 (77 enodes) 62.726 * * [simplify]: iters left: 1 (84 enodes) 62.738 * * [simplify]: Extracting #0: cost 1 inf + 0 62.738 * * [simplify]: Extracting #1: cost 11 inf + 0 62.738 * * [simplify]: Extracting #2: cost 26 inf + 82 62.739 * * [simplify]: Extracting #3: cost 24 inf + 692 62.739 * * [simplify]: Extracting #4: cost 3 inf + 3057 62.740 * * [simplify]: Extracting #5: cost 0 inf + 3504 62.743 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 62.743 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.743 * * * * [progress]: [ 164 / 276 ] simplifiying candidate # 62.743 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 62.743 * * [simplify]: iters left: 6 (7 enodes) 62.746 * * [simplify]: iters left: 5 (31 enodes) 62.754 * * [simplify]: iters left: 4 (51 enodes) 62.770 * * [simplify]: iters left: 3 (64 enodes) 62.789 * * [simplify]: iters left: 2 (77 enodes) 62.801 * * [simplify]: iters left: 1 (84 enodes) 62.813 * * [simplify]: Extracting #0: cost 1 inf + 0 62.813 * * [simplify]: Extracting #1: cost 11 inf + 0 62.813 * * [simplify]: Extracting #2: cost 26 inf + 42 62.814 * * [simplify]: Extracting #3: cost 24 inf + 452 62.814 * * [simplify]: Extracting #4: cost 3 inf + 2337 62.815 * * [simplify]: Extracting #5: cost 0 inf + 2704 62.815 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 62.815 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.815 * * * * [progress]: [ 165 / 276 ] simplifiying candidate # 62.816 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 62.816 * * [simplify]: iters left: 6 (6 enodes) 62.819 * * [simplify]: iters left: 5 (29 enodes) 62.825 * * [simplify]: iters left: 4 (44 enodes) 62.838 * * [simplify]: iters left: 3 (50 enodes) 62.853 * * [simplify]: iters left: 2 (57 enodes) 62.873 * * [simplify]: Extracting #0: cost 1 inf + 0 62.874 * * [simplify]: Extracting #1: cost 9 inf + 0 62.874 * * [simplify]: Extracting #2: cost 15 inf + 3 62.874 * * [simplify]: Extracting #3: cost 11 inf + 131 62.874 * * [simplify]: Extracting #4: cost 2 inf + 711 62.875 * * [simplify]: Extracting #5: cost 0 inf + 836 62.875 * [simplify]: Simplified to (- 1/4 (/ k 4)) 62.875 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.875 * * * * [progress]: [ 166 / 276 ] simplifiying candidate # 62.876 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 62.876 * * [simplify]: iters left: 4 (5 enodes) 62.881 * * [simplify]: iters left: 3 (20 enodes) 62.888 * * [simplify]: iters left: 2 (27 enodes) 62.893 * * [simplify]: iters left: 1 (29 enodes) 62.898 * * [simplify]: Extracting #0: cost 1 inf + 0 62.898 * * [simplify]: Extracting #1: cost 8 inf + 0 62.898 * * [simplify]: Extracting #2: cost 4 inf + 449 62.899 * * [simplify]: Extracting #3: cost 0 inf + 895 62.899 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 62.899 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.899 * * * * [progress]: [ 167 / 276 ] simplifiying candidate # 62.899 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 62.899 * * [simplify]: iters left: 4 (5 enodes) 62.902 * * [simplify]: iters left: 3 (20 enodes) 62.905 * * [simplify]: iters left: 2 (27 enodes) 62.910 * * [simplify]: iters left: 1 (29 enodes) 62.916 * * [simplify]: Extracting #0: cost 1 inf + 0 62.916 * * [simplify]: Extracting #1: cost 8 inf + 0 62.917 * * [simplify]: Extracting #2: cost 4 inf + 289 62.917 * * [simplify]: Extracting #3: cost 0 inf + 575 62.917 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 62.917 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.917 * * * * [progress]: [ 168 / 276 ] simplifiying candidate # 62.918 * [simplify]: Simplifying (/ (/ 1 2) 2) 62.918 * * [simplify]: iters left: 4 (4 enodes) 62.922 * * [simplify]: iters left: 3 (19 enodes) 62.929 * * [simplify]: iters left: 2 (23 enodes) 62.936 * * [simplify]: Extracting #0: cost 1 inf + 0 62.936 * * [simplify]: Extracting #1: cost 0 inf + 1 62.936 * [simplify]: Simplified to 1/4 62.936 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.937 * * * * [progress]: [ 169 / 276 ] simplifiying candidate # 62.937 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 62.937 * * [simplify]: iters left: 6 (6 enodes) 62.942 * * [simplify]: iters left: 5 (29 enodes) 62.951 * * [simplify]: iters left: 4 (44 enodes) 62.958 * * [simplify]: iters left: 3 (50 enodes) 62.967 * * [simplify]: iters left: 2 (57 enodes) 62.976 * * [simplify]: Extracting #0: cost 1 inf + 0 62.976 * * [simplify]: Extracting #1: cost 9 inf + 0 62.976 * * [simplify]: Extracting #2: cost 15 inf + 3 62.976 * * [simplify]: Extracting #3: cost 11 inf + 131 62.976 * * [simplify]: Extracting #4: cost 2 inf + 711 62.976 * * [simplify]: Extracting #5: cost 0 inf + 836 62.977 * [simplify]: Simplified to (- 1/4 (/ k 4)) 62.977 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.977 * * * * [progress]: [ 170 / 276 ] simplifiying candidate # 62.977 * [simplify]: Simplifying (/ 1 2) 62.977 * * [simplify]: iters left: 2 (3 enodes) 62.983 * * [simplify]: iters left: 1 (12 enodes) 62.987 * * [simplify]: Extracting #0: cost 1 inf + 0 62.988 * * [simplify]: Extracting #1: cost 0 inf + 1 62.988 * [simplify]: Simplified to 1/2 62.988 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 62.988 * * * * [progress]: [ 171 / 276 ] simplifiying candidate # 62.988 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 62.988 * * [simplify]: iters left: 6 (8 enodes) 62.994 * * [simplify]: iters left: 5 (38 enodes) 63.007 * * [simplify]: iters left: 4 (66 enodes) 63.030 * * [simplify]: iters left: 3 (110 enodes) 63.071 * * [simplify]: iters left: 2 (200 enodes) 63.155 * * [simplify]: iters left: 1 (403 enodes) 63.318 * * [simplify]: Extracting #0: cost 1 inf + 0 63.318 * * [simplify]: Extracting #1: cost 26 inf + 0 63.318 * * [simplify]: Extracting #2: cost 100 inf + 2 63.319 * * [simplify]: Extracting #3: cost 164 inf + 10 63.320 * * [simplify]: Extracting #4: cost 163 inf + 641 63.322 * * [simplify]: Extracting #5: cost 72 inf + 12998 63.328 * * [simplify]: Extracting #6: cost 25 inf + 35040 63.336 * * [simplify]: Extracting #7: cost 0 inf + 54806 63.343 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 63.344 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 63.344 * * * * [progress]: [ 172 / 276 ] simplifiying candidate # 63.344 * * * * [progress]: [ 173 / 276 ] simplifiying candidate # 63.344 * * * * [progress]: [ 174 / 276 ] simplifiying candidate # 63.344 * * * * [progress]: [ 175 / 276 ] simplifiying candidate # 63.344 * * * * [progress]: [ 176 / 276 ] simplifiying candidate # 63.344 * * * * [progress]: [ 177 / 276 ] simplifiying candidate # 63.344 * * * * [progress]: [ 178 / 276 ] simplifiying candidate # 63.344 * * * * [progress]: [ 179 / 276 ] simplifiying candidate # 63.344 * * * * [progress]: [ 180 / 276 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))> 63.344 * * * * [progress]: [ 181 / 276 ] simplifiying candidate # 63.344 * * * * [progress]: [ 182 / 276 ] simplifiying candidate # 63.344 * * * * [progress]: [ 183 / 276 ] simplifiying candidate # 63.344 * [simplify]: Simplifying (* n (* 2 PI)) 63.344 * * [simplify]: iters left: 4 (5 enodes) 63.346 * * [simplify]: iters left: 3 (19 enodes) 63.349 * * [simplify]: iters left: 2 (27 enodes) 63.353 * * [simplify]: iters left: 1 (32 enodes) 63.358 * * [simplify]: Extracting #0: cost 1 inf + 0 63.358 * * [simplify]: Extracting #1: cost 8 inf + 0 63.358 * * [simplify]: Extracting #2: cost 7 inf + 45 63.358 * * [simplify]: Extracting #3: cost 0 inf + 421 63.358 * [simplify]: Simplified to (* (* PI 2) n) 63.358 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 63.358 * [simplify]: Simplifying (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) 63.359 * * [simplify]: iters left: 6 (7 enodes) 63.361 * * [simplify]: iters left: 5 (32 enodes) 63.372 * * [simplify]: iters left: 4 (47 enodes) 63.385 * * [simplify]: iters left: 3 (57 enodes) 63.397 * * [simplify]: iters left: 2 (80 enodes) 63.414 * * [simplify]: iters left: 1 (119 enodes) 63.433 * * [simplify]: Extracting #0: cost 1 inf + 0 63.433 * * [simplify]: Extracting #1: cost 12 inf + 0 63.433 * * [simplify]: Extracting #2: cost 33 inf + 2 63.433 * * [simplify]: Extracting #3: cost 38 inf + 6 63.434 * * [simplify]: Extracting #4: cost 22 inf + 1038 63.434 * * [simplify]: Extracting #5: cost 0 inf + 3215 63.435 * [simplify]: Simplified to (- (- 1/2 (/ k 4)) (/ k 4)) 63.435 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (- (- 1/2 (/ k 4)) (/ k 4))) (sqrt k))) 63.435 * * * * [progress]: [ 184 / 276 ] simplifiying candidate # 63.436 * [simplify]: Simplifying (* (* n (* 2 PI)) (* n (* 2 PI))) 63.436 * * [simplify]: iters left: 6 (6 enodes) 63.438 * * [simplify]: iters left: 5 (29 enodes) 63.445 * * [simplify]: iters left: 4 (85 enodes) 63.465 * * [simplify]: iters left: 3 (202 enodes) 63.540 * * [simplify]: iters left: 2 (295 enodes) 63.635 * * [simplify]: iters left: 1 (312 enodes) 63.713 * * [simplify]: Extracting #0: cost 1 inf + 0 63.713 * * [simplify]: Extracting #1: cost 27 inf + 0 63.713 * * [simplify]: Extracting #2: cost 42 inf + 87 63.714 * * [simplify]: Extracting #3: cost 5 inf + 3172 63.717 * * [simplify]: Extracting #4: cost 0 inf + 3544 63.720 * [simplify]: Simplified to (* 4 (* (* n PI) (* n PI))) 63.720 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* 4 (* (* n PI) (* n PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k))) 63.721 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 63.721 * * [simplify]: iters left: 6 (6 enodes) 63.726 * * [simplify]: iters left: 5 (29 enodes) 63.736 * * [simplify]: iters left: 4 (44 enodes) 63.750 * * [simplify]: iters left: 3 (50 enodes) 63.765 * * [simplify]: iters left: 2 (57 enodes) 63.784 * * [simplify]: Extracting #0: cost 1 inf + 0 63.784 * * [simplify]: Extracting #1: cost 9 inf + 0 63.784 * * [simplify]: Extracting #2: cost 15 inf + 3 63.784 * * [simplify]: Extracting #3: cost 11 inf + 131 63.784 * * [simplify]: Extracting #4: cost 2 inf + 711 63.784 * * [simplify]: Extracting #5: cost 0 inf + 836 63.785 * [simplify]: Simplified to (- 1/4 (/ k 4)) 63.785 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* (* n (* 2 PI)) (* n (* 2 PI))) (- 1/4 (/ k 4))) (sqrt k))) 63.785 * * * * [progress]: [ 185 / 276 ] simplifiying candidate # 63.785 * * * * [progress]: [ 186 / 276 ] simplifiying candidate # 63.785 * * * * [progress]: [ 187 / 276 ] simplifiying candidate # 63.785 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) 63.785 * * [simplify]: iters left: 6 (15 enodes) 63.790 * * [simplify]: iters left: 5 (68 enodes) 63.806 * * [simplify]: iters left: 4 (139 enodes) 63.854 * * [simplify]: Extracting #0: cost 1 inf + 0 63.854 * * [simplify]: Extracting #1: cost 47 inf + 0 63.855 * * [simplify]: Extracting #2: cost 126 inf + 2 63.855 * * [simplify]: Extracting #3: cost 167 inf + 77 63.856 * * [simplify]: Extracting #4: cost 124 inf + 5654 63.866 * * [simplify]: Extracting #5: cost 23 inf + 38046 63.878 * * [simplify]: Extracting #6: cost 0 inf + 47491 63.887 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (+ (log n) (+ (log 2) (log PI)))) 63.887 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (+ (log n) (+ (log 2) (log PI))))) (sqrt k))) 63.887 * * * * [progress]: [ 188 / 276 ] simplifiying candidate # 63.887 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 63.887 * * [simplify]: iters left: 6 (19 enodes) 63.893 * * [simplify]: iters left: 5 (78 enodes) 63.920 * * [simplify]: iters left: 4 (150 enodes) 63.972 * * [simplify]: iters left: 3 (488 enodes) 64.384 * * [simplify]: Extracting #0: cost 1 inf + 0 64.384 * * [simplify]: Extracting #1: cost 66 inf + 0 64.385 * * [simplify]: Extracting #2: cost 312 inf + 2 64.392 * * [simplify]: Extracting #3: cost 446 inf + 975 64.397 * * [simplify]: Extracting #4: cost 293 inf + 37682 64.445 * * [simplify]: Extracting #5: cost 17 inf + 122808 64.505 * * [simplify]: Extracting #6: cost 0 inf + 129627 64.566 * * [simplify]: Extracting #7: cost 0 inf + 129347 64.603 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n)))) 64.603 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 4) (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))))) (sqrt k))) 64.603 * * * * [progress]: [ 189 / 276 ] simplifiying candidate # 64.603 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 64.603 * * [simplify]: iters left: 6 (19 enodes) 64.610 * * [simplify]: iters left: 5 (88 enodes) 64.627 * * [simplify]: iters left: 4 (167 enodes) 64.669 * * [simplify]: iters left: 3 (476 enodes) 64.978 * * [simplify]: Extracting #0: cost 1 inf + 0 64.978 * * [simplify]: Extracting #1: cost 53 inf + 0 64.979 * * [simplify]: Extracting #2: cost 250 inf + 2 64.983 * * [simplify]: Extracting #3: cost 340 inf + 1874 64.993 * * [simplify]: Extracting #4: cost 254 inf + 23793 65.020 * * [simplify]: Extracting #5: cost 28 inf + 88148 65.058 * * [simplify]: Extracting #6: cost 0 inf + 90761 65.079 * * [simplify]: Extracting #7: cost 0 inf + 90056 65.112 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2)))) 65.112 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2))))) (sqrt k))) 65.112 * * * * [progress]: [ 190 / 276 ] simplifiying candidate # 65.112 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 65.112 * * [simplify]: iters left: 6 (19 enodes) 65.119 * * [simplify]: iters left: 5 (88 enodes) 65.138 * * [simplify]: iters left: 4 (167 enodes) 65.213 * * [simplify]: iters left: 3 (476 enodes) 65.517 * * [simplify]: Extracting #0: cost 1 inf + 0 65.517 * * [simplify]: Extracting #1: cost 53 inf + 0 65.519 * * [simplify]: Extracting #2: cost 250 inf + 2 65.522 * * [simplify]: Extracting #3: cost 340 inf + 1874 65.532 * * [simplify]: Extracting #4: cost 254 inf + 23793 65.572 * * [simplify]: Extracting #5: cost 28 inf + 88148 65.611 * * [simplify]: Extracting #6: cost 0 inf + 90761 65.631 * * [simplify]: Extracting #7: cost 0 inf + 90056 65.666 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2)))) 65.666 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2))))) (sqrt k))) 65.666 * * * * [progress]: [ 191 / 276 ] simplifiying candidate # 65.667 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 65.667 * * [simplify]: iters left: 6 (19 enodes) 65.678 * * [simplify]: iters left: 5 (86 enodes) 65.712 * * [simplify]: iters left: 4 (175 enodes) 65.786 * * [simplify]: iters left: 3 (423 enodes) 66.017 * * [simplify]: Extracting #0: cost 1 inf + 0 66.018 * * [simplify]: Extracting #1: cost 68 inf + 0 66.019 * * [simplify]: Extracting #2: cost 286 inf + 2 66.022 * * [simplify]: Extracting #3: cost 365 inf + 1324 66.040 * * [simplify]: Extracting #4: cost 230 inf + 37446 66.075 * * [simplify]: Extracting #5: cost 13 inf + 97519 66.114 * * [simplify]: Extracting #6: cost 1 inf + 93877 66.152 * * [simplify]: Extracting #7: cost 0 inf + 93863 66.182 * [simplify]: Simplified to (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 66.182 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 66.182 * * * * [progress]: [ 192 / 276 ] simplifiying candidate # 66.182 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) 66.183 * * [simplify]: iters left: 6 (19 enodes) 66.189 * * [simplify]: iters left: 5 (75 enodes) 66.214 * * [simplify]: iters left: 4 (149 enodes) 66.285 * * [simplify]: iters left: 3 (483 enodes) 66.667 * * [simplify]: Extracting #0: cost 1 inf + 0 66.667 * * [simplify]: Extracting #1: cost 66 inf + 0 66.669 * * [simplify]: Extracting #2: cost 296 inf + 2 66.673 * * [simplify]: Extracting #3: cost 404 inf + 2276 66.687 * * [simplify]: Extracting #4: cost 243 inf + 43702 66.737 * * [simplify]: Extracting #5: cost 24 inf + 111711 66.783 * * [simplify]: Extracting #6: cost 0 inf + 118825 66.810 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 66.810 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))))) (sqrt k))) 66.810 * * * * [progress]: [ 193 / 276 ] simplifiying candidate # 66.810 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 66.811 * * [simplify]: iters left: 6 (14 enodes) 66.816 * * [simplify]: iters left: 5 (66 enodes) 66.831 * * [simplify]: iters left: 4 (128 enodes) 66.872 * * [simplify]: iters left: 3 (387 enodes) 67.115 * * [simplify]: Extracting #0: cost 1 inf + 0 67.116 * * [simplify]: Extracting #1: cost 71 inf + 0 67.117 * * [simplify]: Extracting #2: cost 268 inf + 73 67.121 * * [simplify]: Extracting #3: cost 349 inf + 2903 67.139 * * [simplify]: Extracting #4: cost 155 inf + 53987 67.160 * * [simplify]: Extracting #5: cost 16 inf + 97713 67.201 * * [simplify]: Extracting #6: cost 0 inf + 102643 67.224 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 67.224 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))))) (sqrt k))) 67.224 * * * * [progress]: [ 194 / 276 ] simplifiying candidate # 67.224 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 67.225 * * [simplify]: iters left: 6 (17 enodes) 67.230 * * [simplify]: iters left: 5 (73 enodes) 67.245 * * [simplify]: iters left: 4 (144 enodes) 67.294 * * [simplify]: iters left: 3 (399 enodes) 67.506 * * [simplify]: Extracting #0: cost 1 inf + 0 67.506 * * [simplify]: Extracting #1: cost 63 inf + 0 67.507 * * [simplify]: Extracting #2: cost 285 inf + 2 67.509 * * [simplify]: Extracting #3: cost 391 inf + 2725 67.516 * * [simplify]: Extracting #4: cost 220 inf + 41972 67.557 * * [simplify]: Extracting #5: cost 9 inf + 105408 67.590 * * [simplify]: Extracting #6: cost 0 inf + 104522 67.618 * * [simplify]: Extracting #7: cost 0 inf + 104182 67.665 * [simplify]: Simplified to (+ (* (log (* (* 2 PI) n)) (- 1/4 (/ k 4))) (* (log (* (* 2 PI) n)) (- 1/4 (/ k 4)))) 67.665 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* 2 PI) n)) (- 1/4 (/ k 4))) (* (log (* (* 2 PI) n)) (- 1/4 (/ k 4))))) (sqrt k))) 67.665 * * * * [progress]: [ 195 / 276 ] simplifiying candidate # 67.665 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 67.665 * * [simplify]: iters left: 6 (17 enodes) 67.675 * * [simplify]: iters left: 5 (73 enodes) 67.689 * * [simplify]: iters left: 4 (144 enodes) 67.736 * * [simplify]: iters left: 3 (399 enodes) 68.360 * * [simplify]: Extracting #0: cost 1 inf + 0 68.361 * * [simplify]: Extracting #1: cost 63 inf + 0 68.362 * * [simplify]: Extracting #2: cost 285 inf + 2 68.366 * * [simplify]: Extracting #3: cost 391 inf + 2725 68.380 * * [simplify]: Extracting #4: cost 220 inf + 41972 68.401 * * [simplify]: Extracting #5: cost 9 inf + 105408 68.432 * * [simplify]: Extracting #6: cost 0 inf + 104522 68.469 * * [simplify]: Extracting #7: cost 0 inf + 104182 68.491 * [simplify]: Simplified to (+ (* (log (* (* 2 PI) n)) (- 1/4 (/ k 4))) (* (log (* (* 2 PI) n)) (- 1/4 (/ k 4)))) 68.491 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* 2 PI) n)) (- 1/4 (/ k 4))) (* (log (* (* 2 PI) n)) (- 1/4 (/ k 4))))) (sqrt k))) 68.492 * * * * [progress]: [ 196 / 276 ] simplifiying candidate # 68.492 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 68.492 * * [simplify]: iters left: 6 (17 enodes) 68.503 * * [simplify]: iters left: 5 (80 enodes) 68.530 * * [simplify]: iters left: 4 (147 enodes) 68.586 * * [simplify]: iters left: 3 (336 enodes) 68.725 * * [simplify]: Extracting #0: cost 1 inf + 0 68.725 * * [simplify]: Extracting #1: cost 38 inf + 0 68.725 * * [simplify]: Extracting #2: cost 219 inf + 2 68.727 * * [simplify]: Extracting #3: cost 278 inf + 1186 68.729 * * [simplify]: Extracting #4: cost 254 inf + 9963 68.738 * * [simplify]: Extracting #5: cost 111 inf + 42713 68.770 * * [simplify]: Extracting #6: cost 18 inf + 66877 68.798 * * [simplify]: Extracting #7: cost 2 inf + 70610 68.828 * * [simplify]: Extracting #8: cost 0 inf + 71525 68.857 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* PI (* n 2)))) (* (/ (- 1 k) 4) (log (* PI (* n 2))))) 68.857 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (/ (- 1 k) 4) (log (* PI (* n 2)))) (* (/ (- 1 k) 4) (log (* PI (* n 2)))))) (sqrt k))) 68.857 * * * * [progress]: [ 197 / 276 ] simplifiying candidate # 68.857 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) 68.857 * * [simplify]: iters left: 6 (19 enodes) 68.869 * * [simplify]: iters left: 5 (88 enodes) 68.902 * * [simplify]: iters left: 4 (173 enodes) 68.949 * * [simplify]: iters left: 3 (476 enodes) 69.244 * * [simplify]: Extracting #0: cost 1 inf + 0 69.245 * * [simplify]: Extracting #1: cost 55 inf + 0 69.245 * * [simplify]: Extracting #2: cost 234 inf + 2 69.247 * * [simplify]: Extracting #3: cost 319 inf + 2392 69.254 * * [simplify]: Extracting #4: cost 220 inf + 24739 69.291 * * [simplify]: Extracting #5: cost 49 inf + 70958 69.316 * * [simplify]: Extracting #6: cost 0 inf + 85046 69.347 * * [simplify]: Extracting #7: cost 0 inf + 84656 69.390 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n))) 69.390 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n)))) (sqrt k))) 69.390 * * * * [progress]: [ 198 / 276 ] simplifiying candidate # 69.391 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 69.391 * * [simplify]: iters left: 6 (17 enodes) 69.402 * * [simplify]: iters left: 5 (76 enodes) 69.430 * * [simplify]: iters left: 4 (163 enodes) 69.472 * * [simplify]: iters left: 3 (417 enodes) 69.672 * * [simplify]: Extracting #0: cost 1 inf + 0 69.672 * * [simplify]: Extracting #1: cost 65 inf + 0 69.673 * * [simplify]: Extracting #2: cost 243 inf + 2 69.674 * * [simplify]: Extracting #3: cost 366 inf + 598 69.679 * * [simplify]: Extracting #4: cost 237 inf + 31233 69.711 * * [simplify]: Extracting #5: cost 12 inf + 95764 69.754 * * [simplify]: Extracting #6: cost 0 inf + 94945 69.787 * * [simplify]: Extracting #7: cost 0 inf + 94525 69.808 * [simplify]: Simplified to (+ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) (* (log (* (* PI 2) n)) (/ (- 1 k) 4))) 69.808 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) (* (log (* (* PI 2) n)) (/ (- 1 k) 4)))) (sqrt k))) 69.808 * * * * [progress]: [ 199 / 276 ] simplifiying candidate # 69.809 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 69.809 * * [simplify]: iters left: 6 (13 enodes) 69.813 * * [simplify]: iters left: 5 (65 enodes) 69.833 * * [simplify]: iters left: 4 (134 enodes) 69.874 * * [simplify]: iters left: 3 (332 enodes) 70.012 * * [simplify]: Extracting #0: cost 1 inf + 0 70.012 * * [simplify]: Extracting #1: cost 52 inf + 0 70.013 * * [simplify]: Extracting #2: cost 180 inf + 2 70.015 * * [simplify]: Extracting #3: cost 256 inf + 203 70.021 * * [simplify]: Extracting #4: cost 172 inf + 16248 70.047 * * [simplify]: Extracting #5: cost 13 inf + 57754 70.062 * * [simplify]: Extracting #6: cost 0 inf + 61361 70.078 * * [simplify]: Extracting #7: cost 0 inf + 61321 70.107 * [simplify]: Simplified to (/ (* (log (* (* PI 2) n)) (+ (- 1 k) (- 1 k))) 4) 70.107 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (log (* (* PI 2) n)) (+ (- 1 k) (- 1 k))) 4)) (sqrt k))) 70.107 * * * * [progress]: [ 200 / 276 ] simplifiying candidate # 70.108 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 70.108 * * [simplify]: iters left: 6 (13 enodes) 70.116 * * [simplify]: iters left: 5 (65 enodes) 70.140 * * [simplify]: iters left: 4 (134 enodes) 70.194 * * [simplify]: iters left: 3 (332 enodes) 70.366 * * [simplify]: Extracting #0: cost 1 inf + 0 70.366 * * [simplify]: Extracting #1: cost 52 inf + 0 70.367 * * [simplify]: Extracting #2: cost 180 inf + 2 70.368 * * [simplify]: Extracting #3: cost 256 inf + 203 70.374 * * [simplify]: Extracting #4: cost 172 inf + 16248 70.385 * * [simplify]: Extracting #5: cost 13 inf + 57754 70.409 * * [simplify]: Extracting #6: cost 0 inf + 61361 70.438 * * [simplify]: Extracting #7: cost 0 inf + 61321 70.456 * [simplify]: Simplified to (/ (* (log (* (* PI 2) n)) (+ (- 1 k) (- 1 k))) 4) 70.456 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (log (* (* PI 2) n)) (+ (- 1 k) (- 1 k))) 4)) (sqrt k))) 70.457 * * * * [progress]: [ 201 / 276 ] simplifiying candidate # 70.457 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 70.457 * * [simplify]: iters left: 6 (15 enodes) 70.462 * * [simplify]: iters left: 5 (71 enodes) 70.475 * * [simplify]: iters left: 4 (143 enodes) 70.527 * * [simplify]: iters left: 3 (333 enodes) 70.712 * * [simplify]: Extracting #0: cost 1 inf + 0 70.712 * * [simplify]: Extracting #1: cost 58 inf + 0 70.713 * * [simplify]: Extracting #2: cost 225 inf + 2 70.716 * * [simplify]: Extracting #3: cost 281 inf + 2280 70.724 * * [simplify]: Extracting #4: cost 192 inf + 20983 70.753 * * [simplify]: Extracting #5: cost 27 inf + 64582 70.784 * * [simplify]: Extracting #6: cost 1 inf + 75729 70.815 * * [simplify]: Extracting #7: cost 0 inf + 76106 70.830 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n))) 70.830 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n)))) (sqrt k))) 70.830 * * * * [progress]: [ 202 / 276 ] simplifiying candidate # 70.831 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) 70.831 * * [simplify]: iters left: 6 (19 enodes) 70.837 * * [simplify]: iters left: 5 (88 enodes) 70.867 * * [simplify]: iters left: 4 (173 enodes) 70.923 * * [simplify]: iters left: 3 (476 enodes) 71.212 * * [simplify]: Extracting #0: cost 1 inf + 0 71.213 * * [simplify]: Extracting #1: cost 55 inf + 0 71.213 * * [simplify]: Extracting #2: cost 234 inf + 2 71.215 * * [simplify]: Extracting #3: cost 319 inf + 2392 71.223 * * [simplify]: Extracting #4: cost 220 inf + 24739 71.243 * * [simplify]: Extracting #5: cost 49 inf + 70958 71.270 * * [simplify]: Extracting #6: cost 0 inf + 85046 71.290 * * [simplify]: Extracting #7: cost 0 inf + 84656 71.314 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n))) 71.314 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n)))) (sqrt k))) 71.314 * * * * [progress]: [ 203 / 276 ] simplifiying candidate # 71.315 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 71.315 * * [simplify]: iters left: 6 (17 enodes) 71.321 * * [simplify]: iters left: 5 (76 enodes) 71.338 * * [simplify]: iters left: 4 (163 enodes) 71.388 * * [simplify]: iters left: 3 (417 enodes) 71.641 * * [simplify]: Extracting #0: cost 1 inf + 0 71.641 * * [simplify]: Extracting #1: cost 65 inf + 0 71.642 * * [simplify]: Extracting #2: cost 243 inf + 2 71.643 * * [simplify]: Extracting #3: cost 366 inf + 598 71.649 * * [simplify]: Extracting #4: cost 237 inf + 31233 71.686 * * [simplify]: Extracting #5: cost 12 inf + 95764 71.734 * * [simplify]: Extracting #6: cost 0 inf + 94945 71.769 * * [simplify]: Extracting #7: cost 0 inf + 94525 71.791 * [simplify]: Simplified to (+ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) (* (log (* (* PI 2) n)) (/ (- 1 k) 4))) 71.791 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) (* (log (* (* PI 2) n)) (/ (- 1 k) 4)))) (sqrt k))) 71.791 * * * * [progress]: [ 204 / 276 ] simplifiying candidate # 71.791 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 71.791 * * [simplify]: iters left: 6 (13 enodes) 71.796 * * [simplify]: iters left: 5 (65 enodes) 71.818 * * [simplify]: iters left: 4 (134 enodes) 71.871 * * [simplify]: iters left: 3 (332 enodes) 72.046 * * [simplify]: Extracting #0: cost 1 inf + 0 72.046 * * [simplify]: Extracting #1: cost 52 inf + 0 72.047 * * [simplify]: Extracting #2: cost 180 inf + 2 72.049 * * [simplify]: Extracting #3: cost 256 inf + 203 72.055 * * [simplify]: Extracting #4: cost 172 inf + 16248 72.083 * * [simplify]: Extracting #5: cost 13 inf + 57754 72.111 * * [simplify]: Extracting #6: cost 0 inf + 61361 72.139 * * [simplify]: Extracting #7: cost 0 inf + 61321 72.153 * [simplify]: Simplified to (/ (* (log (* (* PI 2) n)) (+ (- 1 k) (- 1 k))) 4) 72.154 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (log (* (* PI 2) n)) (+ (- 1 k) (- 1 k))) 4)) (sqrt k))) 72.154 * * * * [progress]: [ 205 / 276 ] simplifiying candidate # 72.154 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 72.154 * * [simplify]: iters left: 6 (13 enodes) 72.159 * * [simplify]: iters left: 5 (65 enodes) 72.176 * * [simplify]: iters left: 4 (134 enodes) 72.213 * * [simplify]: iters left: 3 (332 enodes) 72.408 * * [simplify]: Extracting #0: cost 1 inf + 0 72.408 * * [simplify]: Extracting #1: cost 52 inf + 0 72.409 * * [simplify]: Extracting #2: cost 180 inf + 2 72.411 * * [simplify]: Extracting #3: cost 256 inf + 203 72.422 * * [simplify]: Extracting #4: cost 172 inf + 16248 72.444 * * [simplify]: Extracting #5: cost 13 inf + 57754 72.458 * * [simplify]: Extracting #6: cost 0 inf + 61361 72.473 * * [simplify]: Extracting #7: cost 0 inf + 61321 72.501 * [simplify]: Simplified to (/ (* (log (* (* PI 2) n)) (+ (- 1 k) (- 1 k))) 4) 72.501 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (log (* (* PI 2) n)) (+ (- 1 k) (- 1 k))) 4)) (sqrt k))) 72.501 * * * * [progress]: [ 206 / 276 ] simplifiying candidate # 72.501 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 72.502 * * [simplify]: iters left: 6 (15 enodes) 72.511 * * [simplify]: iters left: 5 (71 enodes) 72.538 * * [simplify]: iters left: 4 (143 enodes) 72.590 * * [simplify]: iters left: 3 (333 enodes) 72.733 * * [simplify]: Extracting #0: cost 1 inf + 0 72.734 * * [simplify]: Extracting #1: cost 58 inf + 0 72.735 * * [simplify]: Extracting #2: cost 225 inf + 2 72.737 * * [simplify]: Extracting #3: cost 281 inf + 2280 72.745 * * [simplify]: Extracting #4: cost 192 inf + 20983 72.766 * * [simplify]: Extracting #5: cost 27 inf + 64582 72.781 * * [simplify]: Extracting #6: cost 1 inf + 75729 72.804 * * [simplify]: Extracting #7: cost 0 inf + 76106 72.835 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n))) 72.836 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n)))) (sqrt k))) 72.836 * * * * [progress]: [ 207 / 276 ] simplifiying candidate # 72.836 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) 72.836 * * [simplify]: iters left: 6 (19 enodes) 72.847 * * [simplify]: iters left: 5 (85 enodes) 72.880 * * [simplify]: iters left: 4 (175 enodes) 72.953 * * [simplify]: iters left: 3 (421 enodes) 73.165 * * [simplify]: Extracting #0: cost 1 inf + 0 73.165 * * [simplify]: Extracting #1: cost 69 inf + 0 73.166 * * [simplify]: Extracting #2: cost 298 inf + 2 73.168 * * [simplify]: Extracting #3: cost 387 inf + 1891 73.173 * * [simplify]: Extracting #4: cost 254 inf + 30737 73.193 * * [simplify]: Extracting #5: cost 18 inf + 94792 73.226 * * [simplify]: Extracting #6: cost 0 inf + 99566 73.245 * * [simplify]: Extracting #7: cost 0 inf + 99286 73.270 * [simplify]: Simplified to (* (log (* (* PI 2) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 73.270 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* (* PI 2) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 73.271 * * * * [progress]: [ 208 / 276 ] simplifiying candidate # 73.271 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 73.271 * * [simplify]: iters left: 6 (17 enodes) 73.283 * * [simplify]: iters left: 5 (79 enodes) 73.304 * * [simplify]: iters left: 4 (150 enodes) 73.343 * * [simplify]: iters left: 3 (343 enodes) 73.518 * * [simplify]: Extracting #0: cost 1 inf + 0 73.519 * * [simplify]: Extracting #1: cost 38 inf + 0 73.519 * * [simplify]: Extracting #2: cost 222 inf + 2 73.520 * * [simplify]: Extracting #3: cost 285 inf + 962 73.523 * * [simplify]: Extracting #4: cost 260 inf + 10147 73.538 * * [simplify]: Extracting #5: cost 68 inf + 52746 73.565 * * [simplify]: Extracting #6: cost 1 inf + 71275 73.594 * * [simplify]: Extracting #7: cost 0 inf + 71932 73.623 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n))) 73.623 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n)))) (sqrt k))) 73.623 * * * * [progress]: [ 209 / 276 ] simplifiying candidate # 73.623 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 73.624 * * [simplify]: iters left: 6 (15 enodes) 73.630 * * [simplify]: iters left: 5 (70 enodes) 73.645 * * [simplify]: iters left: 4 (143 enodes) 73.685 * * [simplify]: iters left: 3 (335 enodes) 73.864 * * [simplify]: Extracting #0: cost 1 inf + 0 73.864 * * [simplify]: Extracting #1: cost 62 inf + 0 73.866 * * [simplify]: Extracting #2: cost 255 inf + 2 73.868 * * [simplify]: Extracting #3: cost 324 inf + 1337 73.877 * * [simplify]: Extracting #4: cost 215 inf + 22437 73.897 * * [simplify]: Extracting #5: cost 56 inf + 62800 73.913 * * [simplify]: Extracting #6: cost 0 inf + 83426 73.938 * * [simplify]: Extracting #7: cost 0 inf + 82416 73.972 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n))) 73.973 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n)))) (sqrt k))) 73.973 * * * * [progress]: [ 210 / 276 ] simplifiying candidate # 73.973 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 73.973 * * [simplify]: iters left: 6 (15 enodes) 73.980 * * [simplify]: iters left: 5 (70 enodes) 73.993 * * [simplify]: iters left: 4 (143 enodes) 74.029 * * [simplify]: iters left: 3 (335 enodes) 74.161 * * [simplify]: Extracting #0: cost 1 inf + 0 74.162 * * [simplify]: Extracting #1: cost 62 inf + 0 74.162 * * [simplify]: Extracting #2: cost 255 inf + 2 74.164 * * [simplify]: Extracting #3: cost 324 inf + 1337 74.170 * * [simplify]: Extracting #4: cost 215 inf + 22437 74.183 * * [simplify]: Extracting #5: cost 56 inf + 62800 74.199 * * [simplify]: Extracting #6: cost 0 inf + 83426 74.227 * * [simplify]: Extracting #7: cost 0 inf + 82416 74.253 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n))) 74.253 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n)))) (sqrt k))) 74.253 * * * * [progress]: [ 211 / 276 ] simplifiying candidate # 74.253 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 74.253 * * [simplify]: iters left: 6 (13 enodes) 74.258 * * [simplify]: iters left: 5 (59 enodes) 74.269 * * [simplify]: iters left: 4 (116 enodes) 74.293 * * [simplify]: iters left: 3 (283 enodes) 74.394 * * [simplify]: Extracting #0: cost 1 inf + 0 74.394 * * [simplify]: Extracting #1: cost 59 inf + 0 74.395 * * [simplify]: Extracting #2: cost 220 inf + 2 74.398 * * [simplify]: Extracting #3: cost 299 inf + 2332 74.404 * * [simplify]: Extracting #4: cost 217 inf + 17978 74.420 * * [simplify]: Extracting #5: cost 43 inf + 63145 74.434 * * [simplify]: Extracting #6: cost 4 inf + 73719 74.450 * * [simplify]: Extracting #7: cost 0 inf + 75793 74.464 * [simplify]: Simplified to (* (log (* (* PI 2) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 74.464 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* (* PI 2) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 74.465 * * * * [progress]: [ 212 / 276 ] simplifiying candidate # 74.465 * * * * [progress]: [ 213 / 276 ] simplifiying candidate # 74.465 * * * * [progress]: [ 214 / 276 ] simplifiying candidate # 74.465 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 74.465 * * [simplify]: iters left: 6 (14 enodes) 74.470 * * [simplify]: iters left: 5 (69 enodes) 74.496 * * [simplify]: iters left: 4 (143 enodes) 74.547 * * [simplify]: iters left: 3 (393 enodes) 74.764 * * [simplify]: Extracting #0: cost 1 inf + 0 74.764 * * [simplify]: Extracting #1: cost 45 inf + 0 74.765 * * [simplify]: Extracting #2: cost 175 inf + 2 74.766 * * [simplify]: Extracting #3: cost 229 inf + 5 74.767 * * [simplify]: Extracting #4: cost 235 inf + 224 74.768 * * [simplify]: Extracting #5: cost 215 inf + 2716 74.777 * * [simplify]: Extracting #6: cost 119 inf + 37385 74.803 * * [simplify]: Extracting #7: cost 17 inf + 125192 74.830 * * [simplify]: Extracting #8: cost 0 inf + 138953 74.876 * * [simplify]: Extracting #9: cost 0 inf + 137696 74.909 * [simplify]: Simplified to (* (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (pow (* (* PI 2) n) (/ (- 1 k) 8)))) (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (pow (* (* PI 2) n) (/ (- 1 k) 8))))) 74.909 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (pow (* (* PI 2) n) (/ (- 1 k) 8)))) (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (pow (* (* PI 2) n) (/ (- 1 k) 8)))))) (sqrt k))) 74.910 * * * * [progress]: [ 215 / 276 ] simplifiying candidate # 74.910 * * * * [progress]: [ 216 / 276 ] simplifiying candidate # 74.910 * * * * [progress]: [ 217 / 276 ] simplifiying candidate # 74.910 * * * * [progress]: [ 218 / 276 ] simplifiying candidate # 74.910 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2))) 74.910 * * [simplify]: iters left: 6 (10 enodes) 74.916 * * [simplify]: iters left: 5 (47 enodes) 74.929 * * [simplify]: iters left: 4 (83 enodes) 74.949 * * [simplify]: iters left: 3 (146 enodes) 74.976 * * [simplify]: iters left: 2 (230 enodes) 75.049 * * [simplify]: Extracting #0: cost 1 inf + 0 75.049 * * [simplify]: Extracting #1: cost 28 inf + 0 75.049 * * [simplify]: Extracting #2: cost 82 inf + 2 75.050 * * [simplify]: Extracting #3: cost 83 inf + 12 75.051 * * [simplify]: Extracting #4: cost 71 inf + 1435 75.055 * * [simplify]: Extracting #5: cost 34 inf + 20073 75.065 * * [simplify]: Extracting #6: cost 1 inf + 44365 75.075 * * [simplify]: Extracting #7: cost 0 inf + 44830 75.084 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 75.085 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (* (pow (* n (* 2 PI)) (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2)))) (sqrt k))) 75.085 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) 75.085 * * [simplify]: iters left: 6 (10 enodes) 75.091 * * [simplify]: iters left: 5 (42 enodes) 75.105 * * [simplify]: iters left: 4 (79 enodes) 75.138 * * [simplify]: iters left: 3 (148 enodes) 75.194 * * [simplify]: iters left: 2 (286 enodes) 75.327 * * [simplify]: Extracting #0: cost 1 inf + 0 75.327 * * [simplify]: Extracting #1: cost 24 inf + 0 75.328 * * [simplify]: Extracting #2: cost 98 inf + 1 75.329 * * [simplify]: Extracting #3: cost 123 inf + 260 75.331 * * [simplify]: Extracting #4: cost 89 inf + 3146 75.338 * * [simplify]: Extracting #5: cost 29 inf + 27881 75.352 * * [simplify]: Extracting #6: cost 0 inf + 50044 75.365 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 2)) 75.365 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (/ k 2))) (sqrt k))) 75.365 * * * * [progress]: [ 219 / 276 ] simplifiying candidate # 75.365 * * * * [progress]: [ 220 / 276 ] simplifiying candidate # 75.365 * [simplify]: Simplifying (* (pow n (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2))) 75.366 * * [simplify]: iters left: 6 (9 enodes) 75.376 * * [simplify]: iters left: 5 (43 enodes) 75.392 * * [simplify]: iters left: 4 (85 enodes) 75.426 * * [simplify]: iters left: 3 (171 enodes) 75.467 * * [simplify]: iters left: 2 (328 enodes) 75.599 * * [simplify]: Extracting #0: cost 1 inf + 0 75.599 * * [simplify]: Extracting #1: cost 22 inf + 0 75.599 * * [simplify]: Extracting #2: cost 87 inf + 2 75.600 * * [simplify]: Extracting #3: cost 140 inf + 8 75.600 * * [simplify]: Extracting #4: cost 139 inf + 140 75.602 * * [simplify]: Extracting #5: cost 91 inf + 4961 75.605 * * [simplify]: Extracting #6: cost 38 inf + 22848 75.612 * * [simplify]: Extracting #7: cost 7 inf + 44786 75.619 * * [simplify]: Extracting #8: cost 0 inf + 48215 75.626 * * [simplify]: Extracting #9: cost 0 inf + 47748 75.638 * * [simplify]: Extracting #10: cost 0 inf + 46541 75.652 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 75.653 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 75.653 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 75.653 * * [simplify]: iters left: 6 (10 enodes) 75.660 * * [simplify]: iters left: 5 (47 enodes) 75.678 * * [simplify]: iters left: 4 (86 enodes) 75.715 * * [simplify]: iters left: 3 (171 enodes) 75.785 * * [simplify]: iters left: 2 (350 enodes) 75.970 * * [simplify]: Extracting #0: cost 1 inf + 0 75.970 * * [simplify]: Extracting #1: cost 25 inf + 0 75.971 * * [simplify]: Extracting #2: cost 101 inf + 1 75.972 * * [simplify]: Extracting #3: cost 147 inf + 50 75.973 * * [simplify]: Extracting #4: cost 146 inf + 431 75.977 * * [simplify]: Extracting #5: cost 88 inf + 6565 75.986 * * [simplify]: Extracting #6: cost 40 inf + 27545 76.003 * * [simplify]: Extracting #7: cost 2 inf + 56445 76.022 * * [simplify]: Extracting #8: cost 0 inf + 57073 76.042 * [simplify]: Simplified to (pow (* 2 PI) (* 1/2 (- 1 k))) 76.042 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (* 1/2 (- 1 k)))) (sqrt k))) 76.042 * * * * [progress]: [ 221 / 276 ] simplifiying candidate # 76.042 * [simplify]: Simplifying (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 76.043 * * [simplify]: iters left: 6 (14 enodes) 76.052 * * [simplify]: iters left: 5 (64 enodes) 76.073 * * [simplify]: iters left: 4 (104 enodes) 76.096 * * [simplify]: iters left: 3 (164 enodes) 76.151 * * [simplify]: iters left: 2 (313 enodes) 76.241 * * [simplify]: Extracting #0: cost 1 inf + 0 76.241 * * [simplify]: Extracting #1: cost 31 inf + 0 76.241 * * [simplify]: Extracting #2: cost 86 inf + 1 76.242 * * [simplify]: Extracting #3: cost 138 inf + 6 76.243 * * [simplify]: Extracting #4: cost 150 inf + 185 76.244 * * [simplify]: Extracting #5: cost 147 inf + 811 76.250 * * [simplify]: Extracting #6: cost 75 inf + 21506 76.260 * * [simplify]: Extracting #7: cost 32 inf + 38281 76.274 * * [simplify]: Extracting #8: cost 7 inf + 55641 76.290 * * [simplify]: Extracting #9: cost 0 inf + 62334 76.310 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 76.310 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 76.311 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 76.311 * * [simplify]: iters left: 6 (13 enodes) 76.319 * * [simplify]: iters left: 5 (57 enodes) 76.333 * * [simplify]: iters left: 4 (93 enodes) 76.350 * * [simplify]: iters left: 3 (146 enodes) 76.401 * * [simplify]: iters left: 2 (263 enodes) 76.478 * * [simplify]: iters left: 1 (464 enodes) 76.699 * * [simplify]: Extracting #0: cost 1 inf + 0 76.699 * * [simplify]: Extracting #1: cost 3 inf + 0 76.699 * * [simplify]: Extracting #2: cost 5 inf + 0 76.699 * * [simplify]: Extracting #3: cost 29 inf + 0 76.699 * * [simplify]: Extracting #4: cost 110 inf + 1 76.700 * * [simplify]: Extracting #5: cost 178 inf + 220 76.701 * * [simplify]: Extracting #6: cost 169 inf + 1343 76.705 * * [simplify]: Extracting #7: cost 73 inf + 19177 76.715 * * [simplify]: Extracting #8: cost 11 inf + 43900 76.741 * * [simplify]: Extracting #9: cost 0 inf + 50501 76.767 * * [simplify]: Extracting #10: cost 0 inf + 50119 76.793 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 76.794 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))))) (sqrt k))) 76.794 * * * * [progress]: [ 222 / 276 ] simplifiying candidate # 76.794 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 76.794 * * [simplify]: iters left: 6 (13 enodes) 76.802 * * [simplify]: iters left: 5 (55 enodes) 76.822 * * [simplify]: iters left: 4 (93 enodes) 76.848 * * [simplify]: iters left: 3 (146 enodes) 76.884 * * [simplify]: iters left: 2 (263 enodes) 76.943 * * [simplify]: iters left: 1 (463 enodes) 77.128 * * [simplify]: Extracting #0: cost 1 inf + 0 77.128 * * [simplify]: Extracting #1: cost 25 inf + 0 77.129 * * [simplify]: Extracting #2: cost 103 inf + 1 77.130 * * [simplify]: Extracting #3: cost 171 inf + 220 77.132 * * [simplify]: Extracting #4: cost 164 inf + 1185 77.138 * * [simplify]: Extracting #5: cost 80 inf + 12253 77.160 * * [simplify]: Extracting #6: cost 11 inf + 44759 77.186 * * [simplify]: Extracting #7: cost 0 inf + 51444 77.212 * * [simplify]: Extracting #8: cost 0 inf + 50297 77.238 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 77.238 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 77.239 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 77.239 * * [simplify]: iters left: 6 (13 enodes) 77.245 * * [simplify]: iters left: 5 (55 enodes) 77.255 * * [simplify]: iters left: 4 (93 enodes) 77.271 * * [simplify]: iters left: 3 (146 enodes) 77.301 * * [simplify]: iters left: 2 (263 enodes) 77.388 * * [simplify]: iters left: 1 (463 enodes) 77.571 * * [simplify]: Extracting #0: cost 1 inf + 0 77.571 * * [simplify]: Extracting #1: cost 25 inf + 0 77.577 * * [simplify]: Extracting #2: cost 103 inf + 1 77.578 * * [simplify]: Extracting #3: cost 171 inf + 220 77.580 * * [simplify]: Extracting #4: cost 164 inf + 1185 77.584 * * [simplify]: Extracting #5: cost 80 inf + 12253 77.593 * * [simplify]: Extracting #6: cost 11 inf + 44759 77.606 * * [simplify]: Extracting #7: cost 0 inf + 51444 77.625 * * [simplify]: Extracting #8: cost 0 inf + 50297 77.651 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 77.651 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (sqrt k))) 77.651 * * * * [progress]: [ 223 / 276 ] simplifiying candidate # 77.651 * [simplify]: Simplifying (* 1 1) 77.652 * * [simplify]: iters left: 2 (2 enodes) 77.653 * * [simplify]: iters left: 1 (6 enodes) 77.656 * * [simplify]: Extracting #0: cost 1 inf + 0 77.656 * * [simplify]: Extracting #1: cost 0 inf + 1 77.656 * [simplify]: Simplified to 1 77.656 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 77.656 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 77.656 * * [simplify]: iters left: 6 (12 enodes) 77.664 * * [simplify]: iters left: 5 (56 enodes) 77.684 * * [simplify]: iters left: 4 (106 enodes) 77.728 * * [simplify]: iters left: 3 (199 enodes) 77.804 * * [simplify]: iters left: 2 (368 enodes) 77.953 * * [simplify]: Extracting #0: cost 1 inf + 0 77.954 * * [simplify]: Extracting #1: cost 26 inf + 0 77.954 * * [simplify]: Extracting #2: cost 102 inf + 1 77.955 * * [simplify]: Extracting #3: cost 154 inf + 176 77.957 * * [simplify]: Extracting #4: cost 156 inf + 434 77.960 * * [simplify]: Extracting #5: cost 98 inf + 5230 77.966 * * [simplify]: Extracting #6: cost 57 inf + 15472 77.979 * * [simplify]: Extracting #7: cost 17 inf + 47282 77.999 * * [simplify]: Extracting #8: cost 0 inf + 62401 78.019 * * [simplify]: Extracting #9: cost 0 inf + 62149 78.039 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/2 (- 1 k))) 78.039 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* 1 (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt k))) 78.039 * * * * [progress]: [ 224 / 276 ] simplifiying candidate # 78.040 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 78.040 * * [simplify]: iters left: 6 (13 enodes) 78.048 * * [simplify]: iters left: 5 (60 enodes) 78.069 * * [simplify]: iters left: 4 (116 enodes) 78.098 * * [simplify]: iters left: 3 (209 enodes) 78.174 * * [simplify]: iters left: 2 (414 enodes) 78.316 * * [simplify]: Extracting #0: cost 1 inf + 0 78.316 * * [simplify]: Extracting #1: cost 23 inf + 0 78.316 * * [simplify]: Extracting #2: cost 101 inf + 1 78.317 * * [simplify]: Extracting #3: cost 153 inf + 178 78.318 * * [simplify]: Extracting #4: cost 155 inf + 521 78.320 * * [simplify]: Extracting #5: cost 96 inf + 9006 78.326 * * [simplify]: Extracting #6: cost 23 inf + 38730 78.337 * * [simplify]: Extracting #7: cost 0 inf + 56649 78.356 * * [simplify]: Extracting #8: cost 0 inf + 56276 78.378 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 78.378 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (sqrt k))) 78.378 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 78.379 * * [simplify]: iters left: 6 (13 enodes) 78.387 * * [simplify]: iters left: 5 (60 enodes) 78.405 * * [simplify]: iters left: 4 (116 enodes) 78.427 * * [simplify]: iters left: 3 (209 enodes) 78.493 * * [simplify]: iters left: 2 (414 enodes) 78.675 * * [simplify]: Extracting #0: cost 1 inf + 0 78.675 * * [simplify]: Extracting #1: cost 23 inf + 0 78.675 * * [simplify]: Extracting #2: cost 101 inf + 1 78.676 * * [simplify]: Extracting #3: cost 153 inf + 178 78.677 * * [simplify]: Extracting #4: cost 155 inf + 521 78.679 * * [simplify]: Extracting #5: cost 96 inf + 9006 78.688 * * [simplify]: Extracting #6: cost 23 inf + 38730 78.697 * * [simplify]: Extracting #7: cost 0 inf + 56649 78.710 * * [simplify]: Extracting #8: cost 0 inf + 56276 78.721 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 78.721 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (sqrt k))) 78.722 * * * * [progress]: [ 225 / 276 ] simplifiying candidate # 78.722 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 78.722 * * [simplify]: iters left: 6 (13 enodes) 78.726 * * [simplify]: iters left: 5 (55 enodes) 78.737 * * [simplify]: iters left: 4 (93 enodes) 78.758 * * [simplify]: iters left: 3 (146 enodes) 78.790 * * [simplify]: iters left: 2 (263 enodes) 78.886 * * [simplify]: iters left: 1 (463 enodes) 79.057 * * [simplify]: Extracting #0: cost 1 inf + 0 79.057 * * [simplify]: Extracting #1: cost 25 inf + 0 79.058 * * [simplify]: Extracting #2: cost 103 inf + 1 79.059 * * [simplify]: Extracting #3: cost 171 inf + 220 79.065 * * [simplify]: Extracting #4: cost 164 inf + 1185 79.071 * * [simplify]: Extracting #5: cost 80 inf + 12253 79.090 * * [simplify]: Extracting #6: cost 11 inf + 44759 79.115 * * [simplify]: Extracting #7: cost 0 inf + 51444 79.142 * * [simplify]: Extracting #8: cost 0 inf + 50297 79.159 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 79.159 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 79.160 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 79.160 * * [simplify]: iters left: 6 (13 enodes) 79.165 * * [simplify]: iters left: 5 (55 enodes) 79.175 * * [simplify]: iters left: 4 (93 enodes) 79.198 * * [simplify]: iters left: 3 (146 enodes) 79.237 * * [simplify]: iters left: 2 (263 enodes) 79.330 * * [simplify]: iters left: 1 (463 enodes) 79.541 * * [simplify]: Extracting #0: cost 1 inf + 0 79.541 * * [simplify]: Extracting #1: cost 25 inf + 0 79.542 * * [simplify]: Extracting #2: cost 103 inf + 1 79.542 * * [simplify]: Extracting #3: cost 171 inf + 220 79.543 * * [simplify]: Extracting #4: cost 164 inf + 1185 79.546 * * [simplify]: Extracting #5: cost 80 inf + 12253 79.559 * * [simplify]: Extracting #6: cost 11 inf + 44759 79.576 * * [simplify]: Extracting #7: cost 0 inf + 51444 79.589 * * [simplify]: Extracting #8: cost 0 inf + 50297 79.603 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 79.603 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (sqrt k))) 79.603 * * * * [progress]: [ 226 / 276 ] simplifiying candidate # 79.604 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 79.604 * * [simplify]: iters left: 6 (15 enodes) 79.613 * * [simplify]: iters left: 5 (66 enodes) 79.634 * * [simplify]: iters left: 4 (121 enodes) 79.659 * * [simplify]: iters left: 3 (217 enodes) 79.742 * * [simplify]: iters left: 2 (458 enodes) 79.928 * * [simplify]: Extracting #0: cost 1 inf + 0 79.928 * * [simplify]: Extracting #1: cost 32 inf + 0 79.929 * * [simplify]: Extracting #2: cost 100 inf + 0 79.929 * * [simplify]: Extracting #3: cost 179 inf + 2 79.930 * * [simplify]: Extracting #4: cost 241 inf + 183 79.932 * * [simplify]: Extracting #5: cost 218 inf + 3997 79.936 * * [simplify]: Extracting #6: cost 127 inf + 24409 79.958 * * [simplify]: Extracting #7: cost 34 inf + 94527 79.996 * * [simplify]: Extracting #8: cost 0 inf + 126233 80.023 * * [simplify]: Extracting #9: cost 0 inf + 125989 80.042 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (pow (* (* PI 2) n) (/ (- 1 k) 8))) 80.042 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (sqrt k))) 80.043 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 80.043 * * [simplify]: iters left: 6 (15 enodes) 80.052 * * [simplify]: iters left: 5 (66 enodes) 80.076 * * [simplify]: iters left: 4 (121 enodes) 80.107 * * [simplify]: iters left: 3 (217 enodes) 80.190 * * [simplify]: iters left: 2 (458 enodes) 80.360 * * [simplify]: Extracting #0: cost 1 inf + 0 80.360 * * [simplify]: Extracting #1: cost 32 inf + 0 80.361 * * [simplify]: Extracting #2: cost 100 inf + 0 80.362 * * [simplify]: Extracting #3: cost 179 inf + 2 80.363 * * [simplify]: Extracting #4: cost 241 inf + 183 80.366 * * [simplify]: Extracting #5: cost 218 inf + 3997 80.374 * * [simplify]: Extracting #6: cost 127 inf + 24409 80.400 * * [simplify]: Extracting #7: cost 34 inf + 94527 80.421 * * [simplify]: Extracting #8: cost 0 inf + 126233 80.447 * * [simplify]: Extracting #9: cost 0 inf + 125989 80.472 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (pow (* (* PI 2) n) (/ (- 1 k) 8))) 80.472 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (pow (* (* PI 2) n) (/ (- 1 k) 8)))) (sqrt k))) 80.472 * * * * [progress]: [ 227 / 276 ] simplifiying candidate # 80.473 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 80.473 * * [simplify]: iters left: 6 (15 enodes) 80.482 * * [simplify]: iters left: 5 (66 enodes) 80.495 * * [simplify]: iters left: 4 (119 enodes) 80.522 * * [simplify]: iters left: 3 (208 enodes) 80.582 * * [simplify]: iters left: 2 (448 enodes) 80.763 * * [simplify]: Extracting #0: cost 1 inf + 0 80.763 * * [simplify]: Extracting #1: cost 31 inf + 0 80.764 * * [simplify]: Extracting #2: cost 102 inf + 0 80.765 * * [simplify]: Extracting #3: cost 176 inf + 2 80.766 * * [simplify]: Extracting #4: cost 242 inf + 182 80.768 * * [simplify]: Extracting #5: cost 208 inf + 5418 80.773 * * [simplify]: Extracting #6: cost 128 inf + 31333 80.793 * * [simplify]: Extracting #7: cost 49 inf + 90367 80.824 * * [simplify]: Extracting #8: cost 0 inf + 132067 80.844 * * [simplify]: Extracting #9: cost 0 inf + 131056 80.881 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 80.881 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 80.881 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 80.882 * * [simplify]: iters left: 6 (15 enodes) 80.889 * * [simplify]: iters left: 5 (66 enodes) 80.902 * * [simplify]: iters left: 4 (119 enodes) 80.933 * * [simplify]: iters left: 3 (208 enodes) 81.012 * * [simplify]: iters left: 2 (448 enodes) 81.188 * * [simplify]: Extracting #0: cost 1 inf + 0 81.188 * * [simplify]: Extracting #1: cost 31 inf + 0 81.188 * * [simplify]: Extracting #2: cost 102 inf + 0 81.189 * * [simplify]: Extracting #3: cost 176 inf + 2 81.191 * * [simplify]: Extracting #4: cost 242 inf + 182 81.194 * * [simplify]: Extracting #5: cost 208 inf + 5418 81.205 * * [simplify]: Extracting #6: cost 128 inf + 31333 81.234 * * [simplify]: Extracting #7: cost 49 inf + 90367 81.273 * * [simplify]: Extracting #8: cost 0 inf + 132067 81.311 * * [simplify]: Extracting #9: cost 0 inf + 131056 81.344 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 81.344 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4))))) (sqrt k))) 81.344 * * * * [progress]: [ 228 / 276 ] simplifiying candidate # 81.344 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 81.345 * * [simplify]: iters left: 6 (13 enodes) 81.349 * * [simplify]: iters left: 5 (60 enodes) 81.361 * * [simplify]: iters left: 4 (116 enodes) 81.396 * * [simplify]: iters left: 3 (209 enodes) 81.458 * * [simplify]: iters left: 2 (414 enodes) 81.604 * * [simplify]: Extracting #0: cost 1 inf + 0 81.604 * * [simplify]: Extracting #1: cost 23 inf + 0 81.604 * * [simplify]: Extracting #2: cost 101 inf + 1 81.605 * * [simplify]: Extracting #3: cost 153 inf + 178 81.605 * * [simplify]: Extracting #4: cost 155 inf + 521 81.607 * * [simplify]: Extracting #5: cost 96 inf + 9006 81.614 * * [simplify]: Extracting #6: cost 23 inf + 38730 81.623 * * [simplify]: Extracting #7: cost 0 inf + 56649 81.645 * * [simplify]: Extracting #8: cost 0 inf + 56276 81.662 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 81.662 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (sqrt k))) 81.663 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 81.663 * * [simplify]: iters left: 6 (13 enodes) 81.667 * * [simplify]: iters left: 5 (60 enodes) 81.680 * * [simplify]: iters left: 4 (116 enodes) 81.705 * * [simplify]: iters left: 3 (209 enodes) 81.784 * * [simplify]: iters left: 2 (414 enodes) 81.921 * * [simplify]: Extracting #0: cost 1 inf + 0 81.921 * * [simplify]: Extracting #1: cost 23 inf + 0 81.921 * * [simplify]: Extracting #2: cost 101 inf + 1 81.922 * * [simplify]: Extracting #3: cost 153 inf + 178 81.922 * * [simplify]: Extracting #4: cost 155 inf + 521 81.924 * * [simplify]: Extracting #5: cost 96 inf + 9006 81.931 * * [simplify]: Extracting #6: cost 23 inf + 38730 81.945 * * [simplify]: Extracting #7: cost 0 inf + 56649 81.962 * * [simplify]: Extracting #8: cost 0 inf + 56276 81.978 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 81.978 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (sqrt k))) 81.979 * * * * [progress]: [ 229 / 276 ] simplifiying candidate # 81.979 * [simplify]: Simplifying (* n (* 2 PI)) 81.979 * * [simplify]: iters left: 4 (5 enodes) 81.982 * * [simplify]: iters left: 3 (19 enodes) 81.987 * * [simplify]: iters left: 2 (27 enodes) 81.995 * * [simplify]: iters left: 1 (32 enodes) 82.002 * * [simplify]: Extracting #0: cost 1 inf + 0 82.002 * * [simplify]: Extracting #1: cost 8 inf + 0 82.002 * * [simplify]: Extracting #2: cost 7 inf + 45 82.003 * * [simplify]: Extracting #3: cost 0 inf + 421 82.003 * [simplify]: Simplified to (* (* PI 2) n) 82.003 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 2 (/ (/ (- 1 k) 2) 2))) (sqrt k))) 82.003 * [simplify]: Simplifying (* 2 (/ (/ (- 1 k) 2) 2)) 82.003 * * [simplify]: iters left: 6 (7 enodes) 82.008 * * [simplify]: iters left: 5 (35 enodes) 82.020 * * [simplify]: iters left: 4 (61 enodes) 82.039 * * [simplify]: iters left: 3 (87 enodes) 82.065 * * [simplify]: iters left: 2 (121 enodes) 82.086 * * [simplify]: iters left: 1 (185 enodes) 82.143 * * [simplify]: Extracting #0: cost 1 inf + 0 82.143 * * [simplify]: Extracting #1: cost 22 inf + 0 82.143 * * [simplify]: Extracting #2: cost 62 inf + 5 82.144 * * [simplify]: Extracting #3: cost 29 inf + 3150 82.146 * * [simplify]: Extracting #4: cost 0 inf + 5624 82.147 * [simplify]: Simplified to (* 1/2 (- 1 k)) 82.147 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt k))) 82.148 * * * * [progress]: [ 230 / 276 ] simplifiying candidate # 82.148 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 82.148 * * [simplify]: iters left: 6 (9 enodes) 82.151 * * [simplify]: iters left: 5 (42 enodes) 82.159 * * [simplify]: iters left: 4 (70 enodes) 82.173 * * [simplify]: iters left: 3 (117 enodes) 82.203 * * [simplify]: iters left: 2 (232 enodes) 82.256 * * [simplify]: iters left: 1 (454 enodes) 82.411 * * [simplify]: Extracting #0: cost 1 inf + 0 82.411 * * [simplify]: Extracting #1: cost 25 inf + 0 82.414 * * [simplify]: Extracting #2: cost 104 inf + 1 82.415 * * [simplify]: Extracting #3: cost 174 inf + 94 82.416 * * [simplify]: Extracting #4: cost 157 inf + 2461 82.420 * * [simplify]: Extracting #5: cost 65 inf + 14842 82.426 * * [simplify]: Extracting #6: cost 25 inf + 35839 82.434 * * [simplify]: Extracting #7: cost 2 inf + 54310 82.451 * * [simplify]: Extracting #8: cost 0 inf + 55922 82.469 * * [simplify]: Extracting #9: cost 0 inf + 55540 82.488 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 82.488 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt k))) 82.488 * * * * [progress]: [ 231 / 276 ] simplifiying candidate # 82.489 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 82.489 * * [simplify]: iters left: 6 (12 enodes) 82.496 * * [simplify]: iters left: 5 (54 enodes) 82.515 * * [simplify]: iters left: 4 (90 enodes) 82.547 * * [simplify]: iters left: 3 (146 enodes) 82.578 * * [simplify]: iters left: 2 (265 enodes) 82.645 * * [simplify]: iters left: 1 (468 enodes) 82.909 * * [simplify]: Extracting #0: cost 1 inf + 0 82.909 * * [simplify]: Extracting #1: cost 3 inf + 0 82.909 * * [simplify]: Extracting #2: cost 25 inf + 0 82.910 * * [simplify]: Extracting #3: cost 106 inf + 1 82.911 * * [simplify]: Extracting #4: cost 186 inf + 220 82.913 * * [simplify]: Extracting #5: cost 179 inf + 1186 82.919 * * [simplify]: Extracting #6: cost 84 inf + 16980 82.926 * * [simplify]: Extracting #7: cost 34 inf + 33237 82.935 * * [simplify]: Extracting #8: cost 0 inf + 60801 82.945 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) 82.945 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k))))) (sqrt k))) 82.946 * * * * [progress]: [ 232 / 276 ] simplifiying candidate # 82.946 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 82.946 * * [simplify]: iters left: 6 (12 enodes) 82.950 * * [simplify]: iters left: 5 (54 enodes) 82.965 * * [simplify]: iters left: 4 (91 enodes) 82.990 * * [simplify]: iters left: 3 (144 enodes) 83.022 * * [simplify]: iters left: 2 (257 enodes) 83.095 * * [simplify]: iters left: 1 (461 enodes) 83.300 * * [simplify]: Extracting #0: cost 1 inf + 0 83.300 * * [simplify]: Extracting #1: cost 4 inf + 0 83.301 * * [simplify]: Extracting #2: cost 25 inf + 0 83.301 * * [simplify]: Extracting #3: cost 108 inf + 1 83.302 * * [simplify]: Extracting #4: cost 170 inf + 179 83.303 * * [simplify]: Extracting #5: cost 167 inf + 935 83.305 * * [simplify]: Extracting #6: cost 87 inf + 13231 83.313 * * [simplify]: Extracting #7: cost 14 inf + 46284 83.323 * * [simplify]: Extracting #8: cost 1 inf + 56419 83.333 * * [simplify]: Extracting #9: cost 0 inf + 56876 83.345 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) 83.345 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))) (sqrt k))) 83.345 * * * * [progress]: [ 233 / 276 ] simplifiying candidate # 83.345 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 83.345 * * [simplify]: iters left: 6 (11 enodes) 83.349 * * [simplify]: iters left: 5 (51 enodes) 83.359 * * [simplify]: iters left: 4 (87 enodes) 83.374 * * [simplify]: iters left: 3 (143 enodes) 83.410 * * [simplify]: iters left: 2 (259 enodes) 83.513 * * [simplify]: iters left: 1 (469 enodes) 83.701 * * [simplify]: Extracting #0: cost 1 inf + 0 83.701 * * [simplify]: Extracting #1: cost 24 inf + 0 83.701 * * [simplify]: Extracting #2: cost 110 inf + 1 83.702 * * [simplify]: Extracting #3: cost 192 inf + 178 83.703 * * [simplify]: Extracting #4: cost 178 inf + 1845 83.706 * * [simplify]: Extracting #5: cost 89 inf + 12477 83.715 * * [simplify]: Extracting #6: cost 41 inf + 28219 83.734 * * [simplify]: Extracting #7: cost 4 inf + 58625 83.754 * * [simplify]: Extracting #8: cost 0 inf + 62670 83.765 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 83.765 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (sqrt k))) 83.765 * * * * [progress]: [ 234 / 276 ] simplifiying candidate # 83.765 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 83.765 * * [simplify]: iters left: 6 (12 enodes) 83.769 * * [simplify]: iters left: 5 (55 enodes) 83.780 * * [simplify]: iters left: 4 (97 enodes) 83.810 * * [simplify]: iters left: 3 (158 enodes) 83.871 * * [simplify]: iters left: 2 (294 enodes) 83.957 * * [simplify]: Extracting #0: cost 1 inf + 0 83.957 * * [simplify]: Extracting #1: cost 14 inf + 0 83.957 * * [simplify]: Extracting #2: cost 70 inf + 1 83.957 * * [simplify]: Extracting #3: cost 121 inf + 10 83.958 * * [simplify]: Extracting #4: cost 121 inf + 600 83.960 * * [simplify]: Extracting #5: cost 40 inf + 10150 83.963 * * [simplify]: Extracting #6: cost 13 inf + 21524 83.968 * * [simplify]: Extracting #7: cost 2 inf + 29005 83.973 * * [simplify]: Extracting #8: cost 0 inf + 30267 83.977 * * [simplify]: Extracting #9: cost 0 inf + 30136 83.983 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 8)) 83.983 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (sqrt k))) 83.984 * * * * [progress]: [ 235 / 276 ] simplifiying candidate # 83.984 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 83.984 * * [simplify]: iters left: 6 (8 enodes) 83.990 * * [simplify]: iters left: 5 (38 enodes) 84.004 * * [simplify]: iters left: 4 (66 enodes) 84.028 * * [simplify]: iters left: 3 (110 enodes) 84.055 * * [simplify]: iters left: 2 (200 enodes) 84.129 * * [simplify]: iters left: 1 (403 enodes) 84.292 * * [simplify]: Extracting #0: cost 1 inf + 0 84.293 * * [simplify]: Extracting #1: cost 26 inf + 0 84.293 * * [simplify]: Extracting #2: cost 100 inf + 2 84.293 * * [simplify]: Extracting #3: cost 164 inf + 10 84.294 * * [simplify]: Extracting #4: cost 163 inf + 641 84.297 * * [simplify]: Extracting #5: cost 72 inf + 12998 84.303 * * [simplify]: Extracting #6: cost 25 inf + 35040 84.318 * * [simplify]: Extracting #7: cost 0 inf + 54806 84.330 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 84.330 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/4 (/ k 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 84.330 * * * * [progress]: [ 236 / 276 ] simplifiying candidate # 84.330 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 84.331 * * [simplify]: iters left: 6 (13 enodes) 84.335 * * [simplify]: iters left: 5 (57 enodes) 84.349 * * [simplify]: iters left: 4 (93 enodes) 84.365 * * [simplify]: iters left: 3 (146 enodes) 84.396 * * [simplify]: iters left: 2 (263 enodes) 84.490 * * [simplify]: iters left: 1 (464 enodes) 84.712 * * [simplify]: Extracting #0: cost 1 inf + 0 84.712 * * [simplify]: Extracting #1: cost 3 inf + 0 84.712 * * [simplify]: Extracting #2: cost 5 inf + 0 84.712 * * [simplify]: Extracting #3: cost 29 inf + 0 84.713 * * [simplify]: Extracting #4: cost 110 inf + 1 84.714 * * [simplify]: Extracting #5: cost 178 inf + 220 84.716 * * [simplify]: Extracting #6: cost 169 inf + 1343 84.723 * * [simplify]: Extracting #7: cost 73 inf + 19177 84.742 * * [simplify]: Extracting #8: cost 11 inf + 43900 84.768 * * [simplify]: Extracting #9: cost 0 inf + 50501 84.798 * * [simplify]: Extracting #10: cost 0 inf + 50119 84.824 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 84.825 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 84.825 * * * * [progress]: [ 237 / 276 ] simplifiying candidate # 84.825 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 84.825 * * [simplify]: iters left: 6 (12 enodes) 84.832 * * [simplify]: iters left: 5 (54 enodes) 84.849 * * [simplify]: iters left: 4 (91 enodes) 84.865 * * [simplify]: iters left: 3 (144 enodes) 84.902 * * [simplify]: iters left: 2 (257 enodes) 85.003 * * [simplify]: iters left: 1 (461 enodes) 85.221 * * [simplify]: Extracting #0: cost 1 inf + 0 85.222 * * [simplify]: Extracting #1: cost 4 inf + 0 85.222 * * [simplify]: Extracting #2: cost 25 inf + 0 85.222 * * [simplify]: Extracting #3: cost 108 inf + 1 85.224 * * [simplify]: Extracting #4: cost 170 inf + 179 85.226 * * [simplify]: Extracting #5: cost 167 inf + 935 85.231 * * [simplify]: Extracting #6: cost 87 inf + 13231 85.250 * * [simplify]: Extracting #7: cost 14 inf + 46284 85.269 * * [simplify]: Extracting #8: cost 1 inf + 56419 85.288 * * [simplify]: Extracting #9: cost 0 inf + 56876 85.308 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) 85.308 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 85.308 * * * * [progress]: [ 238 / 276 ] simplifiying candidate # 85.308 * * * * [progress]: [ 239 / 276 ] simplifiying candidate # 85.308 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 85.309 * * [simplify]: iters left: 6 (12 enodes) 85.316 * * [simplify]: iters left: 5 (55 enodes) 85.336 * * [simplify]: iters left: 4 (97 enodes) 85.368 * * [simplify]: iters left: 3 (158 enodes) 85.406 * * [simplify]: iters left: 2 (294 enodes) 85.494 * * [simplify]: Extracting #0: cost 1 inf + 0 85.494 * * [simplify]: Extracting #1: cost 14 inf + 0 85.494 * * [simplify]: Extracting #2: cost 70 inf + 1 85.495 * * [simplify]: Extracting #3: cost 121 inf + 10 85.496 * * [simplify]: Extracting #4: cost 121 inf + 600 85.500 * * [simplify]: Extracting #5: cost 40 inf + 10150 85.507 * * [simplify]: Extracting #6: cost 13 inf + 21524 85.516 * * [simplify]: Extracting #7: cost 2 inf + 29005 85.526 * * [simplify]: Extracting #8: cost 0 inf + 30267 85.535 * * [simplify]: Extracting #9: cost 0 inf + 30136 85.540 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 8)) 85.540 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 85.540 * * * * [progress]: [ 240 / 276 ] simplifiying candidate # 85.540 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 85.540 * * [simplify]: iters left: 5 (9 enodes) 85.543 * * [simplify]: iters left: 4 (37 enodes) 85.549 * * [simplify]: iters left: 3 (57 enodes) 85.559 * * [simplify]: iters left: 2 (93 enodes) 85.583 * * [simplify]: iters left: 1 (170 enodes) 85.650 * * [simplify]: Extracting #0: cost 1 inf + 0 85.650 * * [simplify]: Extracting #1: cost 13 inf + 0 85.650 * * [simplify]: Extracting #2: cost 59 inf + 1 85.651 * * [simplify]: Extracting #3: cost 78 inf + 176 85.653 * * [simplify]: Extracting #4: cost 40 inf + 3875 85.657 * * [simplify]: Extracting #5: cost 7 inf + 16988 85.663 * * [simplify]: Extracting #6: cost 0 inf + 20577 85.669 * * [simplify]: Extracting #7: cost 0 inf + 20336 85.672 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 85.672 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2))) (pow (* (* PI 2) n) (/ k 4))) (sqrt k))) 85.673 * * * * [progress]: [ 241 / 276 ] simplifiying candidate # 85.673 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 85.673 * * [simplify]: iters left: 6 (15 enodes) 85.678 * * [simplify]: iters left: 5 (68 enodes) 85.691 * * [simplify]: iters left: 4 (125 enodes) 85.730 * * [simplify]: iters left: 3 (256 enodes) 85.863 * * [simplify]: Extracting #0: cost 1 inf + 0 85.863 * * [simplify]: Extracting #1: cost 37 inf + 0 85.864 * * [simplify]: Extracting #2: cost 121 inf + 0 85.865 * * [simplify]: Extracting #3: cost 151 inf + 5 85.867 * * [simplify]: Extracting #4: cost 154 inf + 1062 85.871 * * [simplify]: Extracting #5: cost 98 inf + 19644 85.883 * * [simplify]: Extracting #6: cost 26 inf + 57705 85.902 * * [simplify]: Extracting #7: cost 1 inf + 77246 85.922 * * [simplify]: Extracting #8: cost 0 inf + 77805 85.934 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) 1/4)) 85.934 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) 1/4)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (sqrt k))) 85.934 * * * * [progress]: [ 242 / 276 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))> 85.934 * * * * [progress]: [ 243 / 276 ] simplifiying candidate # 85.934 * * * * [progress]: [ 244 / 276 ] simplifiying candidate # 85.934 * * * * [progress]: [ 245 / 276 ] simplifiying candidate # 85.934 * * * * [progress]: [ 246 / 276 ] simplifiying candidate # 85.935 * [simplify]: Simplifying (* n (* 2 PI)) 85.935 * * [simplify]: iters left: 4 (5 enodes) 85.936 * * [simplify]: iters left: 3 (19 enodes) 85.939 * * [simplify]: iters left: 2 (27 enodes) 85.944 * * [simplify]: iters left: 1 (32 enodes) 85.948 * * [simplify]: Extracting #0: cost 1 inf + 0 85.948 * * [simplify]: Extracting #1: cost 8 inf + 0 85.948 * * [simplify]: Extracting #2: cost 7 inf + 45 85.948 * * [simplify]: Extracting #3: cost 0 inf + 421 85.948 * [simplify]: Simplified to (* (* PI 2) n) 85.948 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 85.948 * * * * [progress]: [ 247 / 276 ] simplifiying candidate # 85.948 * [simplify]: Simplifying (* n (* 2 PI)) 85.948 * * [simplify]: iters left: 4 (5 enodes) 85.950 * * [simplify]: iters left: 3 (19 enodes) 85.956 * * [simplify]: iters left: 2 (27 enodes) 85.964 * * [simplify]: iters left: 1 (32 enodes) 85.972 * * [simplify]: Extracting #0: cost 1 inf + 0 85.972 * * [simplify]: Extracting #1: cost 8 inf + 0 85.972 * * [simplify]: Extracting #2: cost 7 inf + 45 85.972 * * [simplify]: Extracting #3: cost 0 inf + 421 85.972 * [simplify]: Simplified to (* (* PI 2) n) 85.972 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 85.973 * * * * [progress]: [ 248 / 276 ] simplifiying candidate # 85.973 * * * * [progress]: [ 249 / 276 ] simplifiying candidate # 85.973 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 85.973 * * [simplify]: iters left: 5 (8 enodes) 85.977 * * [simplify]: iters left: 4 (28 enodes) 85.986 * * [simplify]: iters left: 3 (36 enodes) 85.997 * * [simplify]: iters left: 2 (42 enodes) 86.008 * * [simplify]: Extracting #0: cost 1 inf + 0 86.008 * * [simplify]: Extracting #1: cost 8 inf + 0 86.009 * * [simplify]: Extracting #2: cost 17 inf + 0 86.009 * * [simplify]: Extracting #3: cost 12 inf + 145 86.009 * * [simplify]: Extracting #4: cost 5 inf + 1197 86.009 * * [simplify]: Extracting #5: cost 1 inf + 1925 86.010 * * [simplify]: Extracting #6: cost 0 inf + 2107 86.011 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 86.011 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 86.011 * * * * [progress]: [ 250 / 276 ] simplifiying candidate # 86.011 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 86.011 * * [simplify]: iters left: 5 (7 enodes) 86.015 * * [simplify]: iters left: 4 (26 enodes) 86.024 * * [simplify]: iters left: 3 (35 enodes) 86.034 * * [simplify]: iters left: 2 (44 enodes) 86.043 * * [simplify]: Extracting #0: cost 1 inf + 0 86.043 * * [simplify]: Extracting #1: cost 8 inf + 0 86.043 * * [simplify]: Extracting #2: cost 18 inf + 0 86.043 * * [simplify]: Extracting #3: cost 15 inf + 74 86.043 * * [simplify]: Extracting #4: cost 8 inf + 554 86.043 * * [simplify]: Extracting #5: cost 0 inf + 1911 86.044 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 86.044 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 86.044 * * * * [progress]: [ 251 / 276 ] simplifiying candidate # 86.044 * * * * [progress]: [ 252 / 276 ] simplifiying candidate # 86.044 * * * * [progress]: [ 253 / 276 ] simplifiying candidate # 86.044 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 86.044 * * [simplify]: iters left: 6 (11 enodes) 86.050 * * [simplify]: iters left: 5 (48 enodes) 86.060 * * [simplify]: iters left: 4 (121 enodes) 86.094 * * [simplify]: iters left: 3 (348 enodes) 86.304 * * [simplify]: Extracting #0: cost 1 inf + 0 86.304 * * [simplify]: Extracting #1: cost 67 inf + 0 86.306 * * [simplify]: Extracting #2: cost 165 inf + 786 86.312 * * [simplify]: Extracting #3: cost 85 inf + 10177 86.324 * * [simplify]: Extracting #4: cost 9 inf + 26399 86.337 * * [simplify]: Extracting #5: cost 0 inf + 28546 86.349 * * [simplify]: Extracting #6: cost 0 inf + 28506 86.360 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 86.360 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 86.360 * * * * [progress]: [ 254 / 276 ] simplifiying candidate # 86.361 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 86.361 * * [simplify]: iters left: 6 (9 enodes) 86.364 * * [simplify]: iters left: 5 (45 enodes) 86.374 * * [simplify]: iters left: 4 (117 enodes) 86.431 * * [simplify]: iters left: 3 (374 enodes) 86.734 * * [simplify]: Extracting #0: cost 1 inf + 0 86.735 * * [simplify]: Extracting #1: cost 77 inf + 0 86.737 * * [simplify]: Extracting #2: cost 184 inf + 984 86.744 * * [simplify]: Extracting #3: cost 106 inf + 11690 86.761 * * [simplify]: Extracting #4: cost 6 inf + 30376 86.780 * * [simplify]: Extracting #5: cost 0 inf + 31644 86.792 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 86.792 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 86.792 * * * * [progress]: [ 255 / 276 ] simplifiying candidate # 86.793 * * * * [progress]: [ 256 / 276 ] simplifiying candidate # 86.793 * * * * [progress]: [ 257 / 276 ] simplifiying candidate # 86.793 * * * * [progress]: [ 258 / 276 ] simplifiying candidate # 86.793 * * * * [progress]: [ 259 / 276 ] simplifiying candidate # 86.793 * * * * [progress]: [ 260 / 276 ] simplifiying candidate # 86.793 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 86.793 * * [simplify]: iters left: 3 (3 enodes) 86.794 * * [simplify]: iters left: 2 (9 enodes) 86.795 * * [simplify]: Extracting #0: cost 1 inf + 0 86.795 * * [simplify]: Extracting #1: cost 3 inf + 0 86.795 * * [simplify]: Extracting #2: cost 5 inf + 0 86.795 * * [simplify]: Extracting #3: cost 4 inf + 1 86.795 * * [simplify]: Extracting #4: cost 0 inf + 405 86.795 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 86.795 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 86.795 * * * * [progress]: [ 261 / 276 ] simplifiying candidate # 86.795 * [simplify]: Simplifying (sqrt n) 86.795 * * [simplify]: iters left: 1 (2 enodes) 86.796 * * [simplify]: Extracting #0: cost 1 inf + 0 86.796 * * [simplify]: Extracting #1: cost 3 inf + 0 86.796 * * [simplify]: Extracting #2: cost 2 inf + 1 86.796 * * [simplify]: Extracting #3: cost 0 inf + 83 86.796 * [simplify]: Simplified to (sqrt n) 86.796 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 86.796 * * * * [progress]: [ 262 / 276 ] simplifiying candidate # 86.796 * * * * [progress]: [ 263 / 276 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))> 86.796 * * * * [progress]: [ 264 / 276 ] simplifiying candidate # 86.796 * * * * [progress]: [ 265 / 276 ] simplifiying candidate # 86.796 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 86.797 * * [simplify]: iters left: 6 (37 enodes) 86.812 * * [simplify]: iters left: 5 (193 enodes) 86.892 * * [simplify]: Extracting #0: cost 1 inf + 0 86.892 * * [simplify]: Extracting #1: cost 22 inf + 0 86.893 * * [simplify]: Extracting #2: cost 104 inf + 1 86.893 * * [simplify]: Extracting #3: cost 170 inf + 88 86.895 * * [simplify]: Extracting #4: cost 195 inf + 509 86.899 * * [simplify]: Extracting #5: cost 136 inf + 15293 86.914 * * [simplify]: Extracting #6: cost 47 inf + 48666 86.944 * * [simplify]: Extracting #7: cost 3 inf + 79281 86.981 * * [simplify]: Extracting #8: cost 0 inf + 80934 87.016 * * [simplify]: Extracting #9: cost 0 inf + 80864 87.036 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) 87.036 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))))))) (sqrt k))) 87.036 * * * * [progress]: [ 266 / 276 ] simplifiying candidate # 87.036 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 87.037 * * [simplify]: iters left: 6 (15 enodes) 87.042 * * [simplify]: iters left: 5 (65 enodes) 87.054 * * [simplify]: iters left: 4 (123 enodes) 87.100 * * [simplify]: iters left: 3 (366 enodes) 87.266 * * [simplify]: Extracting #0: cost 1 inf + 0 87.266 * * [simplify]: Extracting #1: cost 37 inf + 0 87.267 * * [simplify]: Extracting #2: cost 212 inf + 143 87.270 * * [simplify]: Extracting #3: cost 347 inf + 1812 87.275 * * [simplify]: Extracting #4: cost 207 inf + 31167 87.288 * * [simplify]: Extracting #5: cost 25 inf + 82567 87.315 * * [simplify]: Extracting #6: cost 0 inf + 89048 87.332 * * [simplify]: Extracting #7: cost 0 inf + 88844 87.359 * * [simplify]: Extracting #8: cost 0 inf + 88842 87.392 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 87.392 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))) (sqrt k))) 87.393 * * * * [progress]: [ 267 / 276 ] simplifiying candidate # 87.393 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 87.393 * * [simplify]: iters left: 6 (16 enodes) 87.403 * * [simplify]: iters left: 5 (67 enodes) 87.427 * * [simplify]: iters left: 4 (134 enodes) 87.462 * * [simplify]: iters left: 3 (412 enodes) 87.733 * * [simplify]: Extracting #0: cost 1 inf + 0 87.733 * * [simplify]: Extracting #1: cost 39 inf + 0 87.734 * * [simplify]: Extracting #2: cost 241 inf + 72 87.736 * * [simplify]: Extracting #3: cost 448 inf + 1069 87.741 * * [simplify]: Extracting #4: cost 308 inf + 32324 87.763 * * [simplify]: Extracting #5: cost 42 inf + 110073 87.792 * * [simplify]: Extracting #6: cost 0 inf + 122155 87.829 * * [simplify]: Extracting #7: cost 0 inf + 121985 87.874 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 87.874 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k))) 87.874 * * * * [progress]: [ 268 / 276 ] simplifiying candidate # 87.875 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 87.875 * * [simplify]: iters left: 6 (37 enodes) 87.897 * * [simplify]: iters left: 5 (193 enodes) 87.951 * * [simplify]: Extracting #0: cost 1 inf + 0 87.951 * * [simplify]: Extracting #1: cost 22 inf + 0 87.952 * * [simplify]: Extracting #2: cost 104 inf + 1 87.953 * * [simplify]: Extracting #3: cost 170 inf + 88 87.954 * * [simplify]: Extracting #4: cost 195 inf + 509 87.959 * * [simplify]: Extracting #5: cost 136 inf + 15293 87.974 * * [simplify]: Extracting #6: cost 47 inf + 48666 88.003 * * [simplify]: Extracting #7: cost 3 inf + 79281 88.031 * * [simplify]: Extracting #8: cost 0 inf + 80934 88.050 * * [simplify]: Extracting #9: cost 0 inf + 80864 88.082 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) 88.082 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 88.083 * * * * [progress]: [ 269 / 276 ] simplifiying candidate # 88.083 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 88.083 * * [simplify]: iters left: 6 (15 enodes) 88.090 * * [simplify]: iters left: 5 (65 enodes) 88.102 * * [simplify]: iters left: 4 (123 enodes) 88.145 * * [simplify]: iters left: 3 (366 enodes) 88.368 * * [simplify]: Extracting #0: cost 1 inf + 0 88.368 * * [simplify]: Extracting #1: cost 37 inf + 0 88.369 * * [simplify]: Extracting #2: cost 212 inf + 143 88.372 * * [simplify]: Extracting #3: cost 347 inf + 1812 88.382 * * [simplify]: Extracting #4: cost 207 inf + 31167 88.414 * * [simplify]: Extracting #5: cost 25 inf + 82567 88.446 * * [simplify]: Extracting #6: cost 0 inf + 89048 88.478 * * [simplify]: Extracting #7: cost 0 inf + 88844 88.510 * * [simplify]: Extracting #8: cost 0 inf + 88842 88.544 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 88.544 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 88.545 * * * * [progress]: [ 270 / 276 ] simplifiying candidate # 88.545 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 88.545 * * [simplify]: iters left: 6 (16 enodes) 88.556 * * [simplify]: iters left: 5 (67 enodes) 88.580 * * [simplify]: iters left: 4 (134 enodes) 88.642 * * [simplify]: iters left: 3 (412 enodes) 88.869 * * [simplify]: Extracting #0: cost 1 inf + 0 88.870 * * [simplify]: Extracting #1: cost 39 inf + 0 88.871 * * [simplify]: Extracting #2: cost 241 inf + 72 88.874 * * [simplify]: Extracting #3: cost 448 inf + 1069 88.885 * * [simplify]: Extracting #4: cost 308 inf + 32324 88.911 * * [simplify]: Extracting #5: cost 42 inf + 110073 88.938 * * [simplify]: Extracting #6: cost 0 inf + 122155 88.989 * * [simplify]: Extracting #7: cost 0 inf + 121985 89.022 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 89.022 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 89.022 * * * * [progress]: [ 271 / 276 ] simplifiying candidate # 89.022 * [simplify]: Simplifying (- (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/4 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI)))))) (+ (* 1/8 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2)))) (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2)))) (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) k))))) 89.022 * * [simplify]: iters left: 6 (38 enodes) 89.035 * * [simplify]: iters left: 5 (198 enodes) 89.116 * * [simplify]: Extracting #0: cost 1 inf + 0 89.116 * * [simplify]: Extracting #1: cost 22 inf + 0 89.116 * * [simplify]: Extracting #2: cost 103 inf + 1 89.117 * * [simplify]: Extracting #3: cost 191 inf + 210 89.117 * * [simplify]: Extracting #4: cost 202 inf + 2102 89.121 * * [simplify]: Extracting #5: cost 144 inf + 21403 89.136 * * [simplify]: Extracting #6: cost 29 inf + 70344 89.176 * * [simplify]: Extracting #7: cost 3 inf + 88905 89.211 * * [simplify]: Extracting #8: cost 0 inf + 91801 89.237 * * [simplify]: Extracting #9: cost 0 inf + 91786 89.281 * [simplify]: Simplified to (- (fma 1/8 (* (exp (+ (* (+ (log n) (log (* 2 PI))) 1/4) (* (+ (log n) (log (* 2 PI))) 1/4))) (* (* (log n) k) (* (log n) k))) (fma (* 1/4 (* k k)) (* (log (* 2 PI)) (* (log n) (exp (+ (* (+ (log n) (log (* 2 PI))) 1/4) (* (+ (log n) (log (* 2 PI))) 1/4))))) (fma 1/8 (* (* k k) (* (exp (+ (* (+ (log n) (log (* 2 PI))) 1/4) (* (+ (log n) (log (* 2 PI))) 1/4))) (* (log (* 2 PI)) (log (* 2 PI))))) (exp (+ (* (+ (log n) (log (* 2 PI))) 1/4) (* (+ (log n) (log (* 2 PI))) 1/4)))))) (* 1/2 (* k (+ (* (log n) (exp (+ (* (+ (log n) (log (* 2 PI))) 1/4) (* (+ (log n) (log (* 2 PI))) 1/4)))) (* (exp (+ (* (+ (log n) (log (* 2 PI))) 1/4) (* (+ (log n) (log (* 2 PI))) 1/4))) (log (* 2 PI))))))) 89.281 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (fma 1/8 (* (exp (+ (* (+ (log n) (log (* 2 PI))) 1/4) (* (+ (log n) (log (* 2 PI))) 1/4))) (* (* (log n) k) (* (log n) k))) (fma (* 1/4 (* k k)) (* (log (* 2 PI)) (* (log n) (exp (+ (* (+ (log n) (log (* 2 PI))) 1/4) (* (+ (log n) (log (* 2 PI))) 1/4))))) (fma 1/8 (* (* k k) (* (exp (+ (* (+ (log n) (log (* 2 PI))) 1/4) (* (+ (log n) (log (* 2 PI))) 1/4))) (* (log (* 2 PI)) (log (* 2 PI))))) (exp (+ (* (+ (log n) (log (* 2 PI))) 1/4) (* (+ (log n) (log (* 2 PI))) 1/4)))))) (* 1/2 (* k (+ (* (log n) (exp (+ (* (+ (log n) (log (* 2 PI))) 1/4) (* (+ (log n) (log (* 2 PI))) 1/4)))) (* (exp (+ (* (+ (log n) (log (* 2 PI))) 1/4) (* (+ (log n) (log (* 2 PI))) 1/4))) (log (* 2 PI))))))) (sqrt k))) 89.282 * * * * [progress]: [ 272 / 276 ] simplifiying candidate # 89.283 * [simplify]: Simplifying (pow (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2) 89.283 * * [simplify]: iters left: 6 (16 enodes) 89.290 * * [simplify]: iters left: 5 (72 enodes) 89.304 * * [simplify]: iters left: 4 (134 enodes) 89.352 * * [simplify]: iters left: 3 (439 enodes) 89.657 * * [simplify]: Extracting #0: cost 1 inf + 0 89.657 * * [simplify]: Extracting #1: cost 33 inf + 0 89.658 * * [simplify]: Extracting #2: cost 223 inf + 2 89.661 * * [simplify]: Extracting #3: cost 436 inf + 2145 89.680 * * [simplify]: Extracting #4: cost 304 inf + 40928 89.701 * * [simplify]: Extracting #5: cost 26 inf + 121473 89.741 * * [simplify]: Extracting #6: cost 0 inf + 128637 89.790 * * [simplify]: Extracting #7: cost 0 inf + 127613 89.819 * * [simplify]: Extracting #8: cost 0 inf + 127525 89.843 * [simplify]: Simplified to (exp (* (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 1/2)) 89.843 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 1/2)) (sqrt k))) 89.843 * * * * [progress]: [ 273 / 276 ] simplifiying candidate # 89.843 * [simplify]: Simplifying (pow (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2) 89.843 * * [simplify]: iters left: 6 (18 enodes) 89.850 * * [simplify]: iters left: 5 (77 enodes) 89.865 * * [simplify]: iters left: 4 (147 enodes) 89.934 * * [simplify]: Extracting #0: cost 1 inf + 0 89.934 * * [simplify]: Extracting #1: cost 11 inf + 0 89.934 * * [simplify]: Extracting #2: cost 50 inf + 1 89.935 * * [simplify]: Extracting #3: cost 135 inf + 75 89.936 * * [simplify]: Extracting #4: cost 168 inf + 1068 89.937 * * [simplify]: Extracting #5: cost 154 inf + 2450 89.942 * * [simplify]: Extracting #6: cost 88 inf + 15596 89.954 * * [simplify]: Extracting #7: cost 17 inf + 37049 89.969 * * [simplify]: Extracting #8: cost 0 inf + 43486 89.983 * [simplify]: Simplified to (exp (* (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)) 1/2)) 89.983 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)) 1/2)) (sqrt k))) 89.984 * * * * [progress]: [ 274 / 276 ] simplifiying candidate # 89.984 * [simplify]: Simplifying (* 2 (* n PI)) 89.984 * * [simplify]: iters left: 4 (5 enodes) 89.987 * * [simplify]: iters left: 3 (19 enodes) 89.993 * * [simplify]: iters left: 2 (27 enodes) 90.001 * * [simplify]: iters left: 1 (32 enodes) 90.010 * * [simplify]: Extracting #0: cost 1 inf + 0 90.010 * * [simplify]: Extracting #1: cost 8 inf + 0 90.010 * * [simplify]: Extracting #2: cost 7 inf + 45 90.010 * * [simplify]: Extracting #3: cost 0 inf + 421 90.010 * [simplify]: Simplified to (* (* PI n) 2) 90.010 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 90.011 * * * * [progress]: [ 275 / 276 ] simplifiying candidate # 90.011 * [simplify]: Simplifying (* 2 (* n PI)) 90.011 * * [simplify]: iters left: 4 (5 enodes) 90.014 * * [simplify]: iters left: 3 (19 enodes) 90.023 * * [simplify]: iters left: 2 (27 enodes) 90.031 * * [simplify]: iters left: 1 (32 enodes) 90.039 * * [simplify]: Extracting #0: cost 1 inf + 0 90.039 * * [simplify]: Extracting #1: cost 8 inf + 0 90.039 * * [simplify]: Extracting #2: cost 7 inf + 45 90.039 * * [simplify]: Extracting #3: cost 0 inf + 421 90.040 * [simplify]: Simplified to (* (* PI n) 2) 90.040 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 90.040 * * * * [progress]: [ 276 / 276 ] simplifiying candidate # 90.040 * [simplify]: Simplifying (* 2 (* n PI)) 90.040 * * [simplify]: iters left: 4 (5 enodes) 90.043 * * [simplify]: iters left: 3 (19 enodes) 90.049 * * [simplify]: iters left: 2 (27 enodes) 90.058 * * [simplify]: iters left: 1 (32 enodes) 90.066 * * [simplify]: Extracting #0: cost 1 inf + 0 90.066 * * [simplify]: Extracting #1: cost 8 inf + 0 90.066 * * [simplify]: Extracting #2: cost 7 inf + 45 90.066 * * [simplify]: Extracting #3: cost 0 inf + 421 90.066 * [simplify]: Simplified to (* (* PI n) 2) 90.066 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 90.067 * * * [progress]: adding candidates to table 93.870 * * [progress]: iteration 4 / 4 93.870 * * * [progress]: picking best candidate 93.916 * * * * [pick]: Picked # 93.916 * * * [progress]: localizing error 93.968 * * * [progress]: generating rewritten candidates 93.969 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 93.998 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 94.010 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 94.042 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 94.209 * * * [progress]: generating series expansions 94.209 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 94.210 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 94.210 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 94.210 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 94.210 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 94.211 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 94.211 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 94.211 * [taylor]: Taking taylor expansion of 1/4 in k 94.211 * [backup-simplify]: Simplify 1/4 into 1/4 94.211 * [taylor]: Taking taylor expansion of (- 1 k) in k 94.211 * [taylor]: Taking taylor expansion of 1 in k 94.211 * [backup-simplify]: Simplify 1 into 1 94.211 * [taylor]: Taking taylor expansion of k in k 94.211 * [backup-simplify]: Simplify 0 into 0 94.211 * [backup-simplify]: Simplify 1 into 1 94.211 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 94.211 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 94.211 * [taylor]: Taking taylor expansion of 2 in k 94.211 * [backup-simplify]: Simplify 2 into 2 94.211 * [taylor]: Taking taylor expansion of (* n PI) in k 94.211 * [taylor]: Taking taylor expansion of n in k 94.211 * [backup-simplify]: Simplify n into n 94.211 * [taylor]: Taking taylor expansion of PI in k 94.211 * [backup-simplify]: Simplify PI into PI 94.211 * [backup-simplify]: Simplify (* n PI) into (* n PI) 94.211 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 94.211 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 94.212 * [backup-simplify]: Simplify (- 0) into 0 94.212 * [backup-simplify]: Simplify (+ 1 0) into 1 94.213 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 94.213 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 94.213 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 94.213 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 94.213 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 94.213 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 94.213 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 94.213 * [taylor]: Taking taylor expansion of 1/4 in n 94.213 * [backup-simplify]: Simplify 1/4 into 1/4 94.213 * [taylor]: Taking taylor expansion of (- 1 k) in n 94.213 * [taylor]: Taking taylor expansion of 1 in n 94.213 * [backup-simplify]: Simplify 1 into 1 94.213 * [taylor]: Taking taylor expansion of k in n 94.213 * [backup-simplify]: Simplify k into k 94.213 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 94.213 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 94.213 * [taylor]: Taking taylor expansion of 2 in n 94.213 * [backup-simplify]: Simplify 2 into 2 94.213 * [taylor]: Taking taylor expansion of (* n PI) in n 94.213 * [taylor]: Taking taylor expansion of n in n 94.213 * [backup-simplify]: Simplify 0 into 0 94.213 * [backup-simplify]: Simplify 1 into 1 94.213 * [taylor]: Taking taylor expansion of PI in n 94.213 * [backup-simplify]: Simplify PI into PI 94.214 * [backup-simplify]: Simplify (* 0 PI) into 0 94.214 * [backup-simplify]: Simplify (* 2 0) into 0 94.216 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 94.218 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 94.219 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 94.219 * [backup-simplify]: Simplify (- k) into (- k) 94.219 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 94.219 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 94.220 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 94.221 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 94.223 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 94.223 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 94.223 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 94.223 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 94.223 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 94.223 * [taylor]: Taking taylor expansion of 1/4 in n 94.223 * [backup-simplify]: Simplify 1/4 into 1/4 94.223 * [taylor]: Taking taylor expansion of (- 1 k) in n 94.223 * [taylor]: Taking taylor expansion of 1 in n 94.223 * [backup-simplify]: Simplify 1 into 1 94.223 * [taylor]: Taking taylor expansion of k in n 94.223 * [backup-simplify]: Simplify k into k 94.223 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 94.223 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 94.223 * [taylor]: Taking taylor expansion of 2 in n 94.223 * [backup-simplify]: Simplify 2 into 2 94.223 * [taylor]: Taking taylor expansion of (* n PI) in n 94.224 * [taylor]: Taking taylor expansion of n in n 94.224 * [backup-simplify]: Simplify 0 into 0 94.224 * [backup-simplify]: Simplify 1 into 1 94.224 * [taylor]: Taking taylor expansion of PI in n 94.224 * [backup-simplify]: Simplify PI into PI 94.224 * [backup-simplify]: Simplify (* 0 PI) into 0 94.225 * [backup-simplify]: Simplify (* 2 0) into 0 94.226 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 94.227 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 94.228 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 94.228 * [backup-simplify]: Simplify (- k) into (- k) 94.228 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 94.228 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 94.229 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 94.229 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 94.230 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 94.230 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 94.230 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 94.230 * [taylor]: Taking taylor expansion of 1/4 in k 94.230 * [backup-simplify]: Simplify 1/4 into 1/4 94.230 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 94.230 * [taylor]: Taking taylor expansion of (- 1 k) in k 94.230 * [taylor]: Taking taylor expansion of 1 in k 94.230 * [backup-simplify]: Simplify 1 into 1 94.230 * [taylor]: Taking taylor expansion of k in k 94.230 * [backup-simplify]: Simplify 0 into 0 94.230 * [backup-simplify]: Simplify 1 into 1 94.230 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 94.230 * [taylor]: Taking taylor expansion of (log n) in k 94.230 * [taylor]: Taking taylor expansion of n in k 94.230 * [backup-simplify]: Simplify n into n 94.230 * [backup-simplify]: Simplify (log n) into (log n) 94.230 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 94.230 * [taylor]: Taking taylor expansion of (* 2 PI) in k 94.230 * [taylor]: Taking taylor expansion of 2 in k 94.230 * [backup-simplify]: Simplify 2 into 2 94.230 * [taylor]: Taking taylor expansion of PI in k 94.230 * [backup-simplify]: Simplify PI into PI 94.231 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 94.231 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 94.231 * [backup-simplify]: Simplify (- 0) into 0 94.232 * [backup-simplify]: Simplify (+ 1 0) into 1 94.232 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 94.233 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 94.234 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 94.234 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 94.235 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 94.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 94.236 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 94.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 94.237 * [backup-simplify]: Simplify (- 0) into 0 94.238 * [backup-simplify]: Simplify (+ 0 0) into 0 94.238 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 94.239 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 94.239 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 94.241 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 94.241 * [taylor]: Taking taylor expansion of 0 in k 94.241 * [backup-simplify]: Simplify 0 into 0 94.241 * [backup-simplify]: Simplify 0 into 0 94.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 94.242 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 94.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 94.243 * [backup-simplify]: Simplify (+ 0 0) into 0 94.243 * [backup-simplify]: Simplify (- 1) into -1 94.243 * [backup-simplify]: Simplify (+ 0 -1) into -1 94.244 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 94.250 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 94.252 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 94.254 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 94.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 94.256 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 94.260 * [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 94.260 * [backup-simplify]: Simplify (- 0) into 0 94.261 * [backup-simplify]: Simplify (+ 0 0) into 0 94.262 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 94.263 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 94.265 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 94.267 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 94.267 * [taylor]: Taking taylor expansion of 0 in k 94.267 * [backup-simplify]: Simplify 0 into 0 94.267 * [backup-simplify]: Simplify 0 into 0 94.267 * [backup-simplify]: Simplify 0 into 0 94.269 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 94.270 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 94.274 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 94.274 * [backup-simplify]: Simplify (+ 0 0) into 0 94.275 * [backup-simplify]: Simplify (- 0) into 0 94.275 * [backup-simplify]: Simplify (+ 0 0) into 0 94.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 94.280 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 94.284 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 94.289 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 94.296 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 94.297 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 94.297 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 94.297 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 94.297 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 94.297 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 94.297 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 94.297 * [taylor]: Taking taylor expansion of 1/4 in k 94.297 * [backup-simplify]: Simplify 1/4 into 1/4 94.297 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 94.297 * [taylor]: Taking taylor expansion of 1 in k 94.297 * [backup-simplify]: Simplify 1 into 1 94.297 * [taylor]: Taking taylor expansion of (/ 1 k) in k 94.297 * [taylor]: Taking taylor expansion of k in k 94.297 * [backup-simplify]: Simplify 0 into 0 94.297 * [backup-simplify]: Simplify 1 into 1 94.297 * [backup-simplify]: Simplify (/ 1 1) into 1 94.297 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 94.297 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 94.297 * [taylor]: Taking taylor expansion of 2 in k 94.297 * [backup-simplify]: Simplify 2 into 2 94.297 * [taylor]: Taking taylor expansion of (/ PI n) in k 94.297 * [taylor]: Taking taylor expansion of PI in k 94.297 * [backup-simplify]: Simplify PI into PI 94.297 * [taylor]: Taking taylor expansion of n in k 94.297 * [backup-simplify]: Simplify n into n 94.297 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 94.297 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 94.297 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 94.298 * [backup-simplify]: Simplify (- 1) into -1 94.298 * [backup-simplify]: Simplify (+ 0 -1) into -1 94.298 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 94.298 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 94.298 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 94.299 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 94.299 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 94.299 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 94.299 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 94.299 * [taylor]: Taking taylor expansion of 1/4 in n 94.299 * [backup-simplify]: Simplify 1/4 into 1/4 94.299 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 94.299 * [taylor]: Taking taylor expansion of 1 in n 94.299 * [backup-simplify]: Simplify 1 into 1 94.299 * [taylor]: Taking taylor expansion of (/ 1 k) in n 94.299 * [taylor]: Taking taylor expansion of k in n 94.299 * [backup-simplify]: Simplify k into k 94.299 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 94.299 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 94.299 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 94.299 * [taylor]: Taking taylor expansion of 2 in n 94.299 * [backup-simplify]: Simplify 2 into 2 94.299 * [taylor]: Taking taylor expansion of (/ PI n) in n 94.299 * [taylor]: Taking taylor expansion of PI in n 94.299 * [backup-simplify]: Simplify PI into PI 94.299 * [taylor]: Taking taylor expansion of n in n 94.299 * [backup-simplify]: Simplify 0 into 0 94.299 * [backup-simplify]: Simplify 1 into 1 94.299 * [backup-simplify]: Simplify (/ PI 1) into PI 94.299 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 94.300 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 94.300 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 94.300 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 94.300 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 94.301 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 94.302 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 94.302 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 94.302 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 94.302 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 94.302 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 94.303 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 94.303 * [taylor]: Taking taylor expansion of 1/4 in n 94.303 * [backup-simplify]: Simplify 1/4 into 1/4 94.303 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 94.303 * [taylor]: Taking taylor expansion of 1 in n 94.303 * [backup-simplify]: Simplify 1 into 1 94.303 * [taylor]: Taking taylor expansion of (/ 1 k) in n 94.303 * [taylor]: Taking taylor expansion of k in n 94.303 * [backup-simplify]: Simplify k into k 94.303 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 94.303 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 94.303 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 94.303 * [taylor]: Taking taylor expansion of 2 in n 94.303 * [backup-simplify]: Simplify 2 into 2 94.303 * [taylor]: Taking taylor expansion of (/ PI n) in n 94.303 * [taylor]: Taking taylor expansion of PI in n 94.303 * [backup-simplify]: Simplify PI into PI 94.303 * [taylor]: Taking taylor expansion of n in n 94.303 * [backup-simplify]: Simplify 0 into 0 94.303 * [backup-simplify]: Simplify 1 into 1 94.303 * [backup-simplify]: Simplify (/ PI 1) into PI 94.303 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 94.304 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 94.304 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 94.304 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 94.304 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 94.305 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 94.306 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 94.306 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 94.306 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 94.306 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 94.306 * [taylor]: Taking taylor expansion of 1/4 in k 94.306 * [backup-simplify]: Simplify 1/4 into 1/4 94.306 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 94.306 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 94.307 * [taylor]: Taking taylor expansion of 1 in k 94.307 * [backup-simplify]: Simplify 1 into 1 94.307 * [taylor]: Taking taylor expansion of (/ 1 k) in k 94.307 * [taylor]: Taking taylor expansion of k in k 94.307 * [backup-simplify]: Simplify 0 into 0 94.307 * [backup-simplify]: Simplify 1 into 1 94.307 * [backup-simplify]: Simplify (/ 1 1) into 1 94.307 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 94.307 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 94.307 * [taylor]: Taking taylor expansion of (* 2 PI) in k 94.307 * [taylor]: Taking taylor expansion of 2 in k 94.307 * [backup-simplify]: Simplify 2 into 2 94.307 * [taylor]: Taking taylor expansion of PI in k 94.307 * [backup-simplify]: Simplify PI into PI 94.307 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 94.308 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 94.308 * [taylor]: Taking taylor expansion of (log n) in k 94.308 * [taylor]: Taking taylor expansion of n in k 94.308 * [backup-simplify]: Simplify n into n 94.308 * [backup-simplify]: Simplify (log n) into (log n) 94.308 * [backup-simplify]: Simplify (- 1) into -1 94.308 * [backup-simplify]: Simplify (+ 0 -1) into -1 94.308 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 94.309 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 94.310 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 94.310 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 94.311 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 94.312 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 94.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 94.313 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 94.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 94.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 94.314 * [backup-simplify]: Simplify (- 0) into 0 94.314 * [backup-simplify]: Simplify (+ 0 0) into 0 94.315 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 94.316 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 94.316 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 94.317 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 94.318 * [taylor]: Taking taylor expansion of 0 in k 94.318 * [backup-simplify]: Simplify 0 into 0 94.318 * [backup-simplify]: Simplify 0 into 0 94.318 * [backup-simplify]: Simplify 0 into 0 94.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 94.321 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 94.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 94.321 * [backup-simplify]: Simplify (- 0) into 0 94.321 * [backup-simplify]: Simplify (+ 0 0) into 0 94.322 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 94.323 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 94.324 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 94.325 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 94.325 * [taylor]: Taking taylor expansion of 0 in k 94.325 * [backup-simplify]: Simplify 0 into 0 94.325 * [backup-simplify]: Simplify 0 into 0 94.325 * [backup-simplify]: Simplify 0 into 0 94.325 * [backup-simplify]: Simplify 0 into 0 94.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 94.333 * [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 94.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 94.334 * [backup-simplify]: Simplify (- 0) into 0 94.334 * [backup-simplify]: Simplify (+ 0 0) into 0 94.335 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 94.336 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 94.337 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 94.339 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 94.339 * [taylor]: Taking taylor expansion of 0 in k 94.339 * [backup-simplify]: Simplify 0 into 0 94.339 * [backup-simplify]: Simplify 0 into 0 94.340 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 94.340 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 94.340 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 94.340 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 94.340 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 94.340 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 94.340 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 94.340 * [taylor]: Taking taylor expansion of 1/4 in k 94.340 * [backup-simplify]: Simplify 1/4 into 1/4 94.340 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 94.341 * [taylor]: Taking taylor expansion of (/ 1 k) in k 94.341 * [taylor]: Taking taylor expansion of k in k 94.341 * [backup-simplify]: Simplify 0 into 0 94.341 * [backup-simplify]: Simplify 1 into 1 94.341 * [backup-simplify]: Simplify (/ 1 1) into 1 94.341 * [taylor]: Taking taylor expansion of 1 in k 94.341 * [backup-simplify]: Simplify 1 into 1 94.341 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 94.341 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 94.341 * [taylor]: Taking taylor expansion of -2 in k 94.341 * [backup-simplify]: Simplify -2 into -2 94.341 * [taylor]: Taking taylor expansion of (/ PI n) in k 94.341 * [taylor]: Taking taylor expansion of PI in k 94.341 * [backup-simplify]: Simplify PI into PI 94.341 * [taylor]: Taking taylor expansion of n in k 94.341 * [backup-simplify]: Simplify n into n 94.341 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 94.341 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 94.341 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 94.341 * [backup-simplify]: Simplify (+ 1 0) into 1 94.342 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 94.342 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 94.342 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 94.342 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 94.342 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 94.342 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 94.342 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 94.342 * [taylor]: Taking taylor expansion of 1/4 in n 94.342 * [backup-simplify]: Simplify 1/4 into 1/4 94.342 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 94.342 * [taylor]: Taking taylor expansion of (/ 1 k) in n 94.342 * [taylor]: Taking taylor expansion of k in n 94.342 * [backup-simplify]: Simplify k into k 94.342 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 94.342 * [taylor]: Taking taylor expansion of 1 in n 94.342 * [backup-simplify]: Simplify 1 into 1 94.342 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 94.342 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 94.342 * [taylor]: Taking taylor expansion of -2 in n 94.342 * [backup-simplify]: Simplify -2 into -2 94.342 * [taylor]: Taking taylor expansion of (/ PI n) in n 94.342 * [taylor]: Taking taylor expansion of PI in n 94.342 * [backup-simplify]: Simplify PI into PI 94.342 * [taylor]: Taking taylor expansion of n in n 94.342 * [backup-simplify]: Simplify 0 into 0 94.342 * [backup-simplify]: Simplify 1 into 1 94.343 * [backup-simplify]: Simplify (/ PI 1) into PI 94.343 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 94.343 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 94.343 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 94.344 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 94.344 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 94.345 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 94.346 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 94.346 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 94.346 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 94.346 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 94.346 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 94.346 * [taylor]: Taking taylor expansion of 1/4 in n 94.346 * [backup-simplify]: Simplify 1/4 into 1/4 94.346 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 94.346 * [taylor]: Taking taylor expansion of (/ 1 k) in n 94.346 * [taylor]: Taking taylor expansion of k in n 94.346 * [backup-simplify]: Simplify k into k 94.346 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 94.346 * [taylor]: Taking taylor expansion of 1 in n 94.346 * [backup-simplify]: Simplify 1 into 1 94.346 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 94.346 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 94.346 * [taylor]: Taking taylor expansion of -2 in n 94.346 * [backup-simplify]: Simplify -2 into -2 94.346 * [taylor]: Taking taylor expansion of (/ PI n) in n 94.346 * [taylor]: Taking taylor expansion of PI in n 94.346 * [backup-simplify]: Simplify PI into PI 94.346 * [taylor]: Taking taylor expansion of n in n 94.346 * [backup-simplify]: Simplify 0 into 0 94.346 * [backup-simplify]: Simplify 1 into 1 94.346 * [backup-simplify]: Simplify (/ PI 1) into PI 94.347 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 94.347 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 94.347 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 94.347 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 94.348 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 94.349 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 94.350 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 94.350 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 94.350 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 94.350 * [taylor]: Taking taylor expansion of 1/4 in k 94.350 * [backup-simplify]: Simplify 1/4 into 1/4 94.350 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 94.350 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 94.350 * [taylor]: Taking taylor expansion of (/ 1 k) in k 94.350 * [taylor]: Taking taylor expansion of k in k 94.350 * [backup-simplify]: Simplify 0 into 0 94.350 * [backup-simplify]: Simplify 1 into 1 94.350 * [backup-simplify]: Simplify (/ 1 1) into 1 94.350 * [taylor]: Taking taylor expansion of 1 in k 94.350 * [backup-simplify]: Simplify 1 into 1 94.350 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 94.350 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 94.350 * [taylor]: Taking taylor expansion of (* -2 PI) in k 94.350 * [taylor]: Taking taylor expansion of -2 in k 94.350 * [backup-simplify]: Simplify -2 into -2 94.350 * [taylor]: Taking taylor expansion of PI in k 94.350 * [backup-simplify]: Simplify PI into PI 94.351 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 94.351 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 94.351 * [taylor]: Taking taylor expansion of (log n) in k 94.351 * [taylor]: Taking taylor expansion of n in k 94.351 * [backup-simplify]: Simplify n into n 94.351 * [backup-simplify]: Simplify (log n) into (log n) 94.351 * [backup-simplify]: Simplify (+ 1 0) into 1 94.352 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 94.352 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 94.353 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 94.353 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 94.354 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 94.355 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 94.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 94.360 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 94.361 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 94.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 94.361 * [backup-simplify]: Simplify (+ 0 0) into 0 94.362 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 94.363 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 94.363 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 94.365 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 94.365 * [taylor]: Taking taylor expansion of 0 in k 94.365 * [backup-simplify]: Simplify 0 into 0 94.365 * [backup-simplify]: Simplify 0 into 0 94.365 * [backup-simplify]: Simplify 0 into 0 94.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.366 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 94.370 * [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 94.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 94.370 * [backup-simplify]: Simplify (+ 0 0) into 0 94.371 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 94.372 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 94.374 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 94.376 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 94.376 * [taylor]: Taking taylor expansion of 0 in k 94.376 * [backup-simplify]: Simplify 0 into 0 94.376 * [backup-simplify]: Simplify 0 into 0 94.377 * [backup-simplify]: Simplify 0 into 0 94.377 * [backup-simplify]: Simplify 0 into 0 94.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.379 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 94.386 * [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 94.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 94.386 * [backup-simplify]: Simplify (+ 0 0) into 0 94.388 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 94.389 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 94.390 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 94.392 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 94.392 * [taylor]: Taking taylor expansion of 0 in k 94.392 * [backup-simplify]: Simplify 0 into 0 94.392 * [backup-simplify]: Simplify 0 into 0 94.393 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 94.393 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 94.393 * [backup-simplify]: Simplify (pow n (/ (/ (- 1 k) 2) 2)) into (pow n (* 1/4 (- 1 k))) 94.393 * [approximate]: Taking taylor expansion of (pow n (* 1/4 (- 1 k))) in (n k) around 0 94.393 * [taylor]: Taking taylor expansion of (pow n (* 1/4 (- 1 k))) in k 94.393 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log n))) in k 94.393 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log n)) in k 94.393 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 94.393 * [taylor]: Taking taylor expansion of 1/4 in k 94.393 * [backup-simplify]: Simplify 1/4 into 1/4 94.393 * [taylor]: Taking taylor expansion of (- 1 k) in k 94.393 * [taylor]: Taking taylor expansion of 1 in k 94.393 * [backup-simplify]: Simplify 1 into 1 94.393 * [taylor]: Taking taylor expansion of k in k 94.393 * [backup-simplify]: Simplify 0 into 0 94.393 * [backup-simplify]: Simplify 1 into 1 94.393 * [taylor]: Taking taylor expansion of (log n) in k 94.393 * [taylor]: Taking taylor expansion of n in k 94.393 * [backup-simplify]: Simplify n into n 94.393 * [backup-simplify]: Simplify (log n) into (log n) 94.394 * [backup-simplify]: Simplify (- 0) into 0 94.394 * [backup-simplify]: Simplify (+ 1 0) into 1 94.394 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 94.394 * [backup-simplify]: Simplify (* 1/4 (log n)) into (* 1/4 (log n)) 94.394 * [backup-simplify]: Simplify (exp (* 1/4 (log n))) into (pow n 1/4) 94.394 * [taylor]: Taking taylor expansion of (pow n (* 1/4 (- 1 k))) in n 94.394 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log n))) in n 94.394 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log n)) in n 94.394 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 94.394 * [taylor]: Taking taylor expansion of 1/4 in n 94.394 * [backup-simplify]: Simplify 1/4 into 1/4 94.394 * [taylor]: Taking taylor expansion of (- 1 k) in n 94.394 * [taylor]: Taking taylor expansion of 1 in n 94.394 * [backup-simplify]: Simplify 1 into 1 94.394 * [taylor]: Taking taylor expansion of k in n 94.394 * [backup-simplify]: Simplify k into k 94.394 * [taylor]: Taking taylor expansion of (log n) in n 94.394 * [taylor]: Taking taylor expansion of n in n 94.394 * [backup-simplify]: Simplify 0 into 0 94.394 * [backup-simplify]: Simplify 1 into 1 94.395 * [backup-simplify]: Simplify (log 1) into 0 94.395 * [backup-simplify]: Simplify (- k) into (- k) 94.395 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 94.395 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 94.395 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 94.395 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log n)) into (* 1/4 (* (- 1 k) (log n))) 94.395 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log n)))) into (exp (* 1/4 (* (- 1 k) (log n)))) 94.395 * [taylor]: Taking taylor expansion of (pow n (* 1/4 (- 1 k))) in n 94.395 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log n))) in n 94.395 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log n)) in n 94.395 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 94.395 * [taylor]: Taking taylor expansion of 1/4 in n 94.395 * [backup-simplify]: Simplify 1/4 into 1/4 94.395 * [taylor]: Taking taylor expansion of (- 1 k) in n 94.395 * [taylor]: Taking taylor expansion of 1 in n 94.395 * [backup-simplify]: Simplify 1 into 1 94.395 * [taylor]: Taking taylor expansion of k in n 94.395 * [backup-simplify]: Simplify k into k 94.395 * [taylor]: Taking taylor expansion of (log n) in n 94.395 * [taylor]: Taking taylor expansion of n in n 94.395 * [backup-simplify]: Simplify 0 into 0 94.395 * [backup-simplify]: Simplify 1 into 1 94.396 * [backup-simplify]: Simplify (log 1) into 0 94.396 * [backup-simplify]: Simplify (- k) into (- k) 94.396 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 94.396 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 94.396 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 94.396 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log n)) into (* 1/4 (* (- 1 k) (log n))) 94.396 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log n)))) into (exp (* 1/4 (* (- 1 k) (log n)))) 94.396 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (log n)))) in k 94.396 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (log n))) in k 94.396 * [taylor]: Taking taylor expansion of 1/4 in k 94.396 * [backup-simplify]: Simplify 1/4 into 1/4 94.396 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 94.396 * [taylor]: Taking taylor expansion of (- 1 k) in k 94.396 * [taylor]: Taking taylor expansion of 1 in k 94.396 * [backup-simplify]: Simplify 1 into 1 94.396 * [taylor]: Taking taylor expansion of k in k 94.396 * [backup-simplify]: Simplify 0 into 0 94.396 * [backup-simplify]: Simplify 1 into 1 94.396 * [taylor]: Taking taylor expansion of (log n) in k 94.396 * [taylor]: Taking taylor expansion of n in k 94.396 * [backup-simplify]: Simplify n into n 94.396 * [backup-simplify]: Simplify (log n) into (log n) 94.397 * [backup-simplify]: Simplify (- 0) into 0 94.397 * [backup-simplify]: Simplify (+ 1 0) into 1 94.397 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 94.397 * [backup-simplify]: Simplify (* 1/4 (log n)) into (* 1/4 (log n)) 94.397 * [backup-simplify]: Simplify (exp (* 1/4 (log n))) into (pow n 1/4) 94.397 * [backup-simplify]: Simplify (pow n 1/4) into (pow n 1/4) 94.398 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 94.398 * [backup-simplify]: Simplify (- 0) into 0 94.398 * [backup-simplify]: Simplify (+ 0 0) into 0 94.399 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 94.399 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 94.399 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (log n))) into 0 94.400 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 94.400 * [taylor]: Taking taylor expansion of 0 in k 94.400 * [backup-simplify]: Simplify 0 into 0 94.400 * [backup-simplify]: Simplify 0 into 0 94.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 94.400 * [backup-simplify]: Simplify (- 1) into -1 94.401 * [backup-simplify]: Simplify (+ 0 -1) into -1 94.401 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 94.401 * [backup-simplify]: Simplify (+ (* 1/4 (- (log n))) (* 0 (log n))) into (- (* 1/4 (log n))) 94.401 * [backup-simplify]: Simplify (* (exp (* 1/4 (log n))) (+ (* (/ (pow (- (* 1/4 (log n))) 1) 1)))) into (* -1/4 (* (pow n 1/4) (log n))) 94.401 * [backup-simplify]: Simplify (* -1/4 (* (pow n 1/4) (log n))) into (* -1/4 (* (pow n 1/4) (log n))) 94.403 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 94.403 * [backup-simplify]: Simplify (- 0) into 0 94.403 * [backup-simplify]: Simplify (+ 0 0) into 0 94.404 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 94.404 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 94.405 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 94.405 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 94.405 * [taylor]: Taking taylor expansion of 0 in k 94.405 * [backup-simplify]: Simplify 0 into 0 94.405 * [backup-simplify]: Simplify 0 into 0 94.405 * [backup-simplify]: Simplify 0 into 0 94.406 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 94.407 * [backup-simplify]: Simplify (- 0) into 0 94.407 * [backup-simplify]: Simplify (+ 0 0) into 0 94.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 94.408 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 94.408 * [backup-simplify]: Simplify (* (exp (* 1/4 (log n))) (+ (* (/ (pow (- (* 1/4 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (* (pow n 1/4) (pow (log n) 2))) 94.408 * [backup-simplify]: Simplify (* 1/32 (* (pow n 1/4) (pow (log n) 2))) into (* 1/32 (* (pow n 1/4) (pow (log n) 2))) 94.409 * [backup-simplify]: Simplify (+ (* (* 1/32 (* (pow n 1/4) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/4 (* (pow n 1/4) (log n))) (* k 1)) (pow n 1/4))) into (- (+ (pow n 1/4) (* 1/32 (* (pow n 1/4) (* (pow (log n) 2) (pow k 2))))) (* 1/4 (* (pow n 1/4) (* (log n) k)))) 94.409 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) 94.409 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 94.409 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) in k 94.409 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 94.409 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n))) in k 94.409 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 94.409 * [taylor]: Taking taylor expansion of 1/4 in k 94.409 * [backup-simplify]: Simplify 1/4 into 1/4 94.409 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 94.409 * [taylor]: Taking taylor expansion of 1 in k 94.409 * [backup-simplify]: Simplify 1 into 1 94.409 * [taylor]: Taking taylor expansion of (/ 1 k) in k 94.409 * [taylor]: Taking taylor expansion of k in k 94.409 * [backup-simplify]: Simplify 0 into 0 94.409 * [backup-simplify]: Simplify 1 into 1 94.409 * [backup-simplify]: Simplify (/ 1 1) into 1 94.410 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 94.410 * [taylor]: Taking taylor expansion of (/ 1 n) in k 94.410 * [taylor]: Taking taylor expansion of n in k 94.410 * [backup-simplify]: Simplify n into n 94.410 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 94.410 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 94.410 * [backup-simplify]: Simplify (- 1) into -1 94.410 * [backup-simplify]: Simplify (+ 0 -1) into -1 94.410 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 94.410 * [backup-simplify]: Simplify (* -1/4 (log (/ 1 n))) into (* -1/4 (log (/ 1 n))) 94.411 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 94.411 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) in n 94.411 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 94.411 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n))) in n 94.411 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 94.411 * [taylor]: Taking taylor expansion of 1/4 in n 94.411 * [backup-simplify]: Simplify 1/4 into 1/4 94.411 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 94.411 * [taylor]: Taking taylor expansion of 1 in n 94.411 * [backup-simplify]: Simplify 1 into 1 94.411 * [taylor]: Taking taylor expansion of (/ 1 k) in n 94.411 * [taylor]: Taking taylor expansion of k in n 94.411 * [backup-simplify]: Simplify k into k 94.411 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 94.411 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 94.411 * [taylor]: Taking taylor expansion of (/ 1 n) in n 94.411 * [taylor]: Taking taylor expansion of n in n 94.411 * [backup-simplify]: Simplify 0 into 0 94.411 * [backup-simplify]: Simplify 1 into 1 94.411 * [backup-simplify]: Simplify (/ 1 1) into 1 94.411 * [backup-simplify]: Simplify (log 1) into 0 94.411 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 94.412 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 94.412 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 94.412 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 94.412 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log n))) into (* -1/4 (* (- 1 (/ 1 k)) (log n))) 94.412 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 94.412 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) in n 94.412 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 94.412 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n))) in n 94.412 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 94.412 * [taylor]: Taking taylor expansion of 1/4 in n 94.412 * [backup-simplify]: Simplify 1/4 into 1/4 94.412 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 94.412 * [taylor]: Taking taylor expansion of 1 in n 94.412 * [backup-simplify]: Simplify 1 into 1 94.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n 94.412 * [taylor]: Taking taylor expansion of k in n 94.412 * [backup-simplify]: Simplify k into k 94.412 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 94.412 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 94.412 * [taylor]: Taking taylor expansion of (/ 1 n) in n 94.412 * [taylor]: Taking taylor expansion of n in n 94.412 * [backup-simplify]: Simplify 0 into 0 94.412 * [backup-simplify]: Simplify 1 into 1 94.413 * [backup-simplify]: Simplify (/ 1 1) into 1 94.413 * [backup-simplify]: Simplify (log 1) into 0 94.413 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 94.413 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 94.413 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 94.413 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 94.413 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log n))) into (* -1/4 (* (- 1 (/ 1 k)) (log n))) 94.413 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 94.414 * [taylor]: Taking taylor expansion of (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) in k 94.414 * [taylor]: Taking taylor expansion of (* -1/4 (* (- 1 (/ 1 k)) (log n))) in k 94.414 * [taylor]: Taking taylor expansion of -1/4 in k 94.414 * [backup-simplify]: Simplify -1/4 into -1/4 94.414 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 94.414 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 94.414 * [taylor]: Taking taylor expansion of 1 in k 94.414 * [backup-simplify]: Simplify 1 into 1 94.414 * [taylor]: Taking taylor expansion of (/ 1 k) in k 94.414 * [taylor]: Taking taylor expansion of k in k 94.414 * [backup-simplify]: Simplify 0 into 0 94.414 * [backup-simplify]: Simplify 1 into 1 94.414 * [backup-simplify]: Simplify (/ 1 1) into 1 94.414 * [taylor]: Taking taylor expansion of (log n) in k 94.414 * [taylor]: Taking taylor expansion of n in k 94.414 * [backup-simplify]: Simplify n into n 94.414 * [backup-simplify]: Simplify (log n) into (log n) 94.414 * [backup-simplify]: Simplify (- 1) into -1 94.415 * [backup-simplify]: Simplify (+ 0 -1) into -1 94.415 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 94.415 * [backup-simplify]: Simplify (* -1/4 (* -1 (log n))) into (* 1/4 (log n)) 94.415 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 94.415 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 94.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 94.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 94.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 94.416 * [backup-simplify]: Simplify (- 0) into 0 94.417 * [backup-simplify]: Simplify (+ 0 0) into 0 94.417 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 94.417 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 94.417 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 94.418 * [backup-simplify]: Simplify (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 94.418 * [taylor]: Taking taylor expansion of 0 in k 94.418 * [backup-simplify]: Simplify 0 into 0 94.418 * [backup-simplify]: Simplify 0 into 0 94.418 * [backup-simplify]: Simplify 0 into 0 94.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.422 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 94.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 94.423 * [backup-simplify]: Simplify (- 0) into 0 94.423 * [backup-simplify]: Simplify (+ 0 0) into 0 94.424 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 94.425 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 94.425 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 94.426 * [backup-simplify]: Simplify (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 94.426 * [taylor]: Taking taylor expansion of 0 in k 94.426 * [backup-simplify]: Simplify 0 into 0 94.426 * [backup-simplify]: Simplify 0 into 0 94.427 * [backup-simplify]: Simplify 0 into 0 94.427 * [backup-simplify]: Simplify 0 into 0 94.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.430 * [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 94.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 94.430 * [backup-simplify]: Simplify (- 0) into 0 94.431 * [backup-simplify]: Simplify (+ 0 0) into 0 94.431 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 94.432 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 94.432 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 94.433 * [backup-simplify]: Simplify (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 94.433 * [taylor]: Taking taylor expansion of 0 in k 94.433 * [backup-simplify]: Simplify 0 into 0 94.433 * [backup-simplify]: Simplify 0 into 0 94.434 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/4 (* (- 1 k) (log (/ 1 n))))) 94.434 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) 94.434 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 94.434 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) in k 94.434 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 94.434 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 94.434 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 94.434 * [taylor]: Taking taylor expansion of 1/4 in k 94.434 * [backup-simplify]: Simplify 1/4 into 1/4 94.434 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 94.434 * [taylor]: Taking taylor expansion of (/ 1 k) in k 94.434 * [taylor]: Taking taylor expansion of k in k 94.434 * [backup-simplify]: Simplify 0 into 0 94.434 * [backup-simplify]: Simplify 1 into 1 94.434 * [backup-simplify]: Simplify (/ 1 1) into 1 94.434 * [taylor]: Taking taylor expansion of 1 in k 94.434 * [backup-simplify]: Simplify 1 into 1 94.434 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 94.434 * [taylor]: Taking taylor expansion of (/ -1 n) in k 94.434 * [taylor]: Taking taylor expansion of -1 in k 94.434 * [backup-simplify]: Simplify -1 into -1 94.434 * [taylor]: Taking taylor expansion of n in k 94.434 * [backup-simplify]: Simplify n into n 94.434 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 94.434 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 94.435 * [backup-simplify]: Simplify (+ 1 0) into 1 94.435 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 94.435 * [backup-simplify]: Simplify (* 1/4 (log (/ -1 n))) into (* 1/4 (log (/ -1 n))) 94.435 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 94.435 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) in n 94.435 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 94.435 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 94.435 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 94.435 * [taylor]: Taking taylor expansion of 1/4 in n 94.435 * [backup-simplify]: Simplify 1/4 into 1/4 94.435 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 94.435 * [taylor]: Taking taylor expansion of (/ 1 k) in n 94.435 * [taylor]: Taking taylor expansion of k in n 94.435 * [backup-simplify]: Simplify k into k 94.435 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 94.435 * [taylor]: Taking taylor expansion of 1 in n 94.435 * [backup-simplify]: Simplify 1 into 1 94.435 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 94.435 * [taylor]: Taking taylor expansion of (/ -1 n) in n 94.435 * [taylor]: Taking taylor expansion of -1 in n 94.435 * [backup-simplify]: Simplify -1 into -1 94.435 * [taylor]: Taking taylor expansion of n in n 94.435 * [backup-simplify]: Simplify 0 into 0 94.435 * [backup-simplify]: Simplify 1 into 1 94.436 * [backup-simplify]: Simplify (/ -1 1) into -1 94.436 * [backup-simplify]: Simplify (log -1) into (log -1) 94.436 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 94.436 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 94.437 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 94.437 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 94.438 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 94.438 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) in n 94.438 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 94.438 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 94.438 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 94.438 * [taylor]: Taking taylor expansion of 1/4 in n 94.438 * [backup-simplify]: Simplify 1/4 into 1/4 94.438 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 94.438 * [taylor]: Taking taylor expansion of (/ 1 k) in n 94.438 * [taylor]: Taking taylor expansion of k in n 94.438 * [backup-simplify]: Simplify k into k 94.438 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 94.438 * [taylor]: Taking taylor expansion of 1 in n 94.438 * [backup-simplify]: Simplify 1 into 1 94.438 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 94.438 * [taylor]: Taking taylor expansion of (/ -1 n) in n 94.438 * [taylor]: Taking taylor expansion of -1 in n 94.438 * [backup-simplify]: Simplify -1 into -1 94.438 * [taylor]: Taking taylor expansion of n in n 94.438 * [backup-simplify]: Simplify 0 into 0 94.438 * [backup-simplify]: Simplify 1 into 1 94.438 * [backup-simplify]: Simplify (/ -1 1) into -1 94.438 * [backup-simplify]: Simplify (log -1) into (log -1) 94.439 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 94.439 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 94.439 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 94.439 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 94.440 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 94.440 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 94.440 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 94.440 * [taylor]: Taking taylor expansion of 1/4 in k 94.440 * [backup-simplify]: Simplify 1/4 into 1/4 94.440 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 94.440 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 94.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k 94.440 * [taylor]: Taking taylor expansion of k in k 94.440 * [backup-simplify]: Simplify 0 into 0 94.440 * [backup-simplify]: Simplify 1 into 1 94.440 * [backup-simplify]: Simplify (/ 1 1) into 1 94.440 * [taylor]: Taking taylor expansion of 1 in k 94.440 * [backup-simplify]: Simplify 1 into 1 94.440 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 94.440 * [taylor]: Taking taylor expansion of (log -1) in k 94.440 * [taylor]: Taking taylor expansion of -1 in k 94.440 * [backup-simplify]: Simplify -1 into -1 94.441 * [backup-simplify]: Simplify (log -1) into (log -1) 94.441 * [taylor]: Taking taylor expansion of (log n) in k 94.441 * [taylor]: Taking taylor expansion of n in k 94.441 * [backup-simplify]: Simplify n into n 94.441 * [backup-simplify]: Simplify (log n) into (log n) 94.441 * [backup-simplify]: Simplify (+ 1 0) into 1 94.441 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 94.441 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 94.442 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 94.442 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log n))) into (* 1/4 (- (log -1) (log n))) 94.442 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 94.443 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 94.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 94.444 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 94.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 94.445 * [backup-simplify]: Simplify (+ 0 0) into 0 94.445 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 94.445 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 94.446 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 94.447 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 94.447 * [taylor]: Taking taylor expansion of 0 in k 94.447 * [backup-simplify]: Simplify 0 into 0 94.447 * [backup-simplify]: Simplify 0 into 0 94.447 * [backup-simplify]: Simplify 0 into 0 94.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.449 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 94.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 94.449 * [backup-simplify]: Simplify (+ 0 0) into 0 94.450 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 94.450 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 94.451 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 94.452 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 94.452 * [taylor]: Taking taylor expansion of 0 in k 94.452 * [backup-simplify]: Simplify 0 into 0 94.452 * [backup-simplify]: Simplify 0 into 0 94.452 * [backup-simplify]: Simplify 0 into 0 94.452 * [backup-simplify]: Simplify 0 into 0 94.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.457 * [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 94.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 94.458 * [backup-simplify]: Simplify (+ 0 0) into 0 94.460 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 94.460 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 94.462 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 94.464 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 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 94.464 * [taylor]: Taking taylor expansion of 0 in k 94.464 * [backup-simplify]: Simplify 0 into 0 94.464 * [backup-simplify]: Simplify 0 into 0 94.464 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 94.464 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 94.465 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 94.465 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 94.465 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 94.465 * [taylor]: Taking taylor expansion of 2 in n 94.465 * [backup-simplify]: Simplify 2 into 2 94.465 * [taylor]: Taking taylor expansion of (* n PI) in n 94.465 * [taylor]: Taking taylor expansion of n in n 94.465 * [backup-simplify]: Simplify 0 into 0 94.465 * [backup-simplify]: Simplify 1 into 1 94.465 * [taylor]: Taking taylor expansion of PI in n 94.465 * [backup-simplify]: Simplify PI into PI 94.465 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 94.465 * [taylor]: Taking taylor expansion of 2 in n 94.465 * [backup-simplify]: Simplify 2 into 2 94.465 * [taylor]: Taking taylor expansion of (* n PI) in n 94.465 * [taylor]: Taking taylor expansion of n in n 94.465 * [backup-simplify]: Simplify 0 into 0 94.466 * [backup-simplify]: Simplify 1 into 1 94.466 * [taylor]: Taking taylor expansion of PI in n 94.466 * [backup-simplify]: Simplify PI into PI 94.466 * [backup-simplify]: Simplify (* 0 PI) into 0 94.467 * [backup-simplify]: Simplify (* 2 0) into 0 94.467 * [backup-simplify]: Simplify 0 into 0 94.468 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 94.878 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 94.879 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 94.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 94.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 94.881 * [backup-simplify]: Simplify 0 into 0 94.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 94.883 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 94.883 * [backup-simplify]: Simplify 0 into 0 94.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 94.886 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 94.886 * [backup-simplify]: Simplify 0 into 0 94.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 94.890 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 94.890 * [backup-simplify]: Simplify 0 into 0 94.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 94.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 94.893 * [backup-simplify]: Simplify 0 into 0 94.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 94.897 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 94.897 * [backup-simplify]: Simplify 0 into 0 94.898 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 94.898 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 94.898 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 94.898 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 94.898 * [taylor]: Taking taylor expansion of 2 in n 94.898 * [backup-simplify]: Simplify 2 into 2 94.898 * [taylor]: Taking taylor expansion of (/ PI n) in n 94.898 * [taylor]: Taking taylor expansion of PI in n 94.898 * [backup-simplify]: Simplify PI into PI 94.898 * [taylor]: Taking taylor expansion of n in n 94.898 * [backup-simplify]: Simplify 0 into 0 94.898 * [backup-simplify]: Simplify 1 into 1 94.899 * [backup-simplify]: Simplify (/ PI 1) into PI 94.899 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 94.899 * [taylor]: Taking taylor expansion of 2 in n 94.899 * [backup-simplify]: Simplify 2 into 2 94.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 94.899 * [taylor]: Taking taylor expansion of PI in n 94.899 * [backup-simplify]: Simplify PI into PI 94.899 * [taylor]: Taking taylor expansion of n in n 94.899 * [backup-simplify]: Simplify 0 into 0 94.899 * [backup-simplify]: Simplify 1 into 1 94.900 * [backup-simplify]: Simplify (/ PI 1) into PI 94.900 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 94.900 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 94.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 94.902 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 94.902 * [backup-simplify]: Simplify 0 into 0 94.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 94.904 * [backup-simplify]: Simplify 0 into 0 94.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.907 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 94.907 * [backup-simplify]: Simplify 0 into 0 94.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.909 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 94.909 * [backup-simplify]: Simplify 0 into 0 94.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.912 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 94.912 * [backup-simplify]: Simplify 0 into 0 94.914 * [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 94.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 94.916 * [backup-simplify]: Simplify 0 into 0 94.916 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 94.917 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 94.917 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 94.917 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 94.917 * [taylor]: Taking taylor expansion of -2 in n 94.917 * [backup-simplify]: Simplify -2 into -2 94.917 * [taylor]: Taking taylor expansion of (/ PI n) in n 94.917 * [taylor]: Taking taylor expansion of PI in n 94.917 * [backup-simplify]: Simplify PI into PI 94.917 * [taylor]: Taking taylor expansion of n in n 94.917 * [backup-simplify]: Simplify 0 into 0 94.917 * [backup-simplify]: Simplify 1 into 1 94.918 * [backup-simplify]: Simplify (/ PI 1) into PI 94.918 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 94.918 * [taylor]: Taking taylor expansion of -2 in n 94.918 * [backup-simplify]: Simplify -2 into -2 94.918 * [taylor]: Taking taylor expansion of (/ PI n) in n 94.918 * [taylor]: Taking taylor expansion of PI in n 94.918 * [backup-simplify]: Simplify PI into PI 94.918 * [taylor]: Taking taylor expansion of n in n 94.918 * [backup-simplify]: Simplify 0 into 0 94.918 * [backup-simplify]: Simplify 1 into 1 94.918 * [backup-simplify]: Simplify (/ PI 1) into PI 94.919 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 94.919 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 94.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 94.921 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 94.921 * [backup-simplify]: Simplify 0 into 0 94.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.923 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 94.923 * [backup-simplify]: Simplify 0 into 0 94.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.926 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 94.926 * [backup-simplify]: Simplify 0 into 0 94.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.928 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 94.928 * [backup-simplify]: Simplify 0 into 0 94.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 94.931 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 94.931 * [backup-simplify]: Simplify 0 into 0 94.932 * [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 94.934 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 94.934 * [backup-simplify]: Simplify 0 into 0 94.935 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 94.935 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 94.936 * [backup-simplify]: Simplify (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) into (* (pow (* 2 PI) (* 1/4 (- 1 k))) (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k))))) 94.936 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k))))) in (n k) around 0 94.936 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k))))) in k 94.936 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 94.936 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 94.936 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 94.936 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 94.936 * [taylor]: Taking taylor expansion of 1/4 in k 94.936 * [backup-simplify]: Simplify 1/4 into 1/4 94.936 * [taylor]: Taking taylor expansion of (- 1 k) in k 94.936 * [taylor]: Taking taylor expansion of 1 in k 94.936 * [backup-simplify]: Simplify 1 into 1 94.936 * [taylor]: Taking taylor expansion of k in k 94.936 * [backup-simplify]: Simplify 0 into 0 94.936 * [backup-simplify]: Simplify 1 into 1 94.936 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 94.936 * [taylor]: Taking taylor expansion of (* 2 PI) in k 94.936 * [taylor]: Taking taylor expansion of 2 in k 94.936 * [backup-simplify]: Simplify 2 into 2 94.936 * [taylor]: Taking taylor expansion of PI in k 94.937 * [backup-simplify]: Simplify PI into PI 94.937 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 94.938 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 94.938 * [backup-simplify]: Simplify (- 0) into 0 94.939 * [backup-simplify]: Simplify (+ 1 0) into 1 94.939 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 94.941 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 94.944 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 94.944 * [taylor]: Taking taylor expansion of (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))) in k 94.944 * [taylor]: Taking taylor expansion of (pow n (* 1/4 (- 1 k))) in k 94.944 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log n))) in k 94.944 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log n)) in k 94.944 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 94.944 * [taylor]: Taking taylor expansion of 1/4 in k 94.944 * [backup-simplify]: Simplify 1/4 into 1/4 94.944 * [taylor]: Taking taylor expansion of (- 1 k) in k 94.944 * [taylor]: Taking taylor expansion of 1 in k 94.944 * [backup-simplify]: Simplify 1 into 1 94.944 * [taylor]: Taking taylor expansion of k in k 94.944 * [backup-simplify]: Simplify 0 into 0 94.944 * [backup-simplify]: Simplify 1 into 1 94.944 * [taylor]: Taking taylor expansion of (log n) in k 94.944 * [taylor]: Taking taylor expansion of n in k 94.944 * [backup-simplify]: Simplify n into n 94.944 * [backup-simplify]: Simplify (log n) into (log n) 94.944 * [backup-simplify]: Simplify (- 0) into 0 94.945 * [backup-simplify]: Simplify (+ 1 0) into 1 94.945 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 94.945 * [backup-simplify]: Simplify (* 1/4 (log n)) into (* 1/4 (log n)) 94.945 * [backup-simplify]: Simplify (exp (* 1/4 (log n))) into (pow n 1/4) 94.945 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 94.946 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 94.946 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 94.946 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 94.946 * [taylor]: Taking taylor expansion of 1/4 in k 94.946 * [backup-simplify]: Simplify 1/4 into 1/4 94.946 * [taylor]: Taking taylor expansion of (- 1 k) in k 94.946 * [taylor]: Taking taylor expansion of 1 in k 94.946 * [backup-simplify]: Simplify 1 into 1 94.946 * [taylor]: Taking taylor expansion of k in k 94.946 * [backup-simplify]: Simplify 0 into 0 94.946 * [backup-simplify]: Simplify 1 into 1 94.946 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 94.946 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 94.946 * [taylor]: Taking taylor expansion of 2 in k 94.946 * [backup-simplify]: Simplify 2 into 2 94.946 * [taylor]: Taking taylor expansion of (* n PI) in k 94.946 * [taylor]: Taking taylor expansion of n in k 94.946 * [backup-simplify]: Simplify n into n 94.946 * [taylor]: Taking taylor expansion of PI in k 94.946 * [backup-simplify]: Simplify PI into PI 94.946 * [backup-simplify]: Simplify (* n PI) into (* n PI) 94.946 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 94.946 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 94.947 * [backup-simplify]: Simplify (- 0) into 0 94.947 * [backup-simplify]: Simplify (+ 1 0) into 1 94.948 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 94.948 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 94.948 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 94.948 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k))))) in n 94.948 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in n 94.948 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in n 94.948 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in n 94.948 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 94.948 * [taylor]: Taking taylor expansion of 1/4 in n 94.948 * [backup-simplify]: Simplify 1/4 into 1/4 94.948 * [taylor]: Taking taylor expansion of (- 1 k) in n 94.948 * [taylor]: Taking taylor expansion of 1 in n 94.948 * [backup-simplify]: Simplify 1 into 1 94.948 * [taylor]: Taking taylor expansion of k in n 94.948 * [backup-simplify]: Simplify k into k 94.948 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 94.948 * [taylor]: Taking taylor expansion of (* 2 PI) in n 94.948 * [taylor]: Taking taylor expansion of 2 in n 94.948 * [backup-simplify]: Simplify 2 into 2 94.948 * [taylor]: Taking taylor expansion of PI in n 94.948 * [backup-simplify]: Simplify PI into PI 94.949 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 94.950 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 94.950 * [backup-simplify]: Simplify (- k) into (- k) 94.950 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 94.950 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 94.951 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log (* 2 PI))) into (* 1/4 (* (- 1 k) (log (* 2 PI)))) 94.952 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 94.952 * [taylor]: Taking taylor expansion of (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))) in n 94.952 * [taylor]: Taking taylor expansion of (pow n (* 1/4 (- 1 k))) in n 94.952 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log n))) in n 94.952 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log n)) in n 94.952 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 94.952 * [taylor]: Taking taylor expansion of 1/4 in n 94.952 * [backup-simplify]: Simplify 1/4 into 1/4 94.952 * [taylor]: Taking taylor expansion of (- 1 k) in n 94.952 * [taylor]: Taking taylor expansion of 1 in n 94.952 * [backup-simplify]: Simplify 1 into 1 94.952 * [taylor]: Taking taylor expansion of k in n 94.952 * [backup-simplify]: Simplify k into k 94.952 * [taylor]: Taking taylor expansion of (log n) in n 94.952 * [taylor]: Taking taylor expansion of n in n 94.952 * [backup-simplify]: Simplify 0 into 0 94.952 * [backup-simplify]: Simplify 1 into 1 94.953 * [backup-simplify]: Simplify (log 1) into 0 94.953 * [backup-simplify]: Simplify (- k) into (- k) 94.953 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 94.953 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 94.953 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 94.953 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log n)) into (* 1/4 (* (- 1 k) (log n))) 94.954 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log n)))) into (exp (* 1/4 (* (- 1 k) (log n)))) 94.954 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 94.954 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 94.954 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 94.954 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 94.954 * [taylor]: Taking taylor expansion of 1/4 in n 94.954 * [backup-simplify]: Simplify 1/4 into 1/4 94.954 * [taylor]: Taking taylor expansion of (- 1 k) in n 94.954 * [taylor]: Taking taylor expansion of 1 in n 94.954 * [backup-simplify]: Simplify 1 into 1 94.954 * [taylor]: Taking taylor expansion of k in n 94.954 * [backup-simplify]: Simplify k into k 94.954 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 94.954 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 94.954 * [taylor]: Taking taylor expansion of 2 in n 94.954 * [backup-simplify]: Simplify 2 into 2 94.954 * [taylor]: Taking taylor expansion of (* n PI) in n 94.954 * [taylor]: Taking taylor expansion of n in n 94.954 * [backup-simplify]: Simplify 0 into 0 94.954 * [backup-simplify]: Simplify 1 into 1 94.954 * [taylor]: Taking taylor expansion of PI in n 94.954 * [backup-simplify]: Simplify PI into PI 94.955 * [backup-simplify]: Simplify (* 0 PI) into 0 94.955 * [backup-simplify]: Simplify (* 2 0) into 0 94.957 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 94.958 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 94.959 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 94.959 * [backup-simplify]: Simplify (- k) into (- k) 94.959 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 94.959 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 94.960 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 94.962 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 94.963 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 94.963 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k))))) in n 94.963 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in n 94.963 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in n 94.963 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in n 94.963 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 94.963 * [taylor]: Taking taylor expansion of 1/4 in n 94.963 * [backup-simplify]: Simplify 1/4 into 1/4 94.963 * [taylor]: Taking taylor expansion of (- 1 k) in n 94.963 * [taylor]: Taking taylor expansion of 1 in n 94.963 * [backup-simplify]: Simplify 1 into 1 94.963 * [taylor]: Taking taylor expansion of k in n 94.963 * [backup-simplify]: Simplify k into k 94.963 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 94.963 * [taylor]: Taking taylor expansion of (* 2 PI) in n 94.963 * [taylor]: Taking taylor expansion of 2 in n 94.963 * [backup-simplify]: Simplify 2 into 2 94.963 * [taylor]: Taking taylor expansion of PI in n 94.963 * [backup-simplify]: Simplify PI into PI 94.964 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 94.965 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 94.965 * [backup-simplify]: Simplify (- k) into (- k) 94.965 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 94.965 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 94.966 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log (* 2 PI))) into (* 1/4 (* (- 1 k) (log (* 2 PI)))) 94.967 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 94.967 * [taylor]: Taking taylor expansion of (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))) in n 94.967 * [taylor]: Taking taylor expansion of (pow n (* 1/4 (- 1 k))) in n 94.967 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log n))) in n 94.967 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log n)) in n 94.967 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 94.967 * [taylor]: Taking taylor expansion of 1/4 in n 94.967 * [backup-simplify]: Simplify 1/4 into 1/4 94.968 * [taylor]: Taking taylor expansion of (- 1 k) in n 94.968 * [taylor]: Taking taylor expansion of 1 in n 94.968 * [backup-simplify]: Simplify 1 into 1 94.968 * [taylor]: Taking taylor expansion of k in n 94.968 * [backup-simplify]: Simplify k into k 94.968 * [taylor]: Taking taylor expansion of (log n) in n 94.968 * [taylor]: Taking taylor expansion of n in n 94.968 * [backup-simplify]: Simplify 0 into 0 94.968 * [backup-simplify]: Simplify 1 into 1 94.968 * [backup-simplify]: Simplify (log 1) into 0 94.968 * [backup-simplify]: Simplify (- k) into (- k) 94.968 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 94.968 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 94.969 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 94.969 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log n)) into (* 1/4 (* (- 1 k) (log n))) 94.969 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log n)))) into (exp (* 1/4 (* (- 1 k) (log n)))) 94.969 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 94.969 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 94.969 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 94.969 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 94.969 * [taylor]: Taking taylor expansion of 1/4 in n 94.969 * [backup-simplify]: Simplify 1/4 into 1/4 94.969 * [taylor]: Taking taylor expansion of (- 1 k) in n 94.969 * [taylor]: Taking taylor expansion of 1 in n 94.969 * [backup-simplify]: Simplify 1 into 1 94.969 * [taylor]: Taking taylor expansion of k in n 94.969 * [backup-simplify]: Simplify k into k 94.969 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 94.969 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 94.969 * [taylor]: Taking taylor expansion of 2 in n 94.969 * [backup-simplify]: Simplify 2 into 2 94.969 * [taylor]: Taking taylor expansion of (* n PI) in n 94.969 * [taylor]: Taking taylor expansion of n in n 94.969 * [backup-simplify]: Simplify 0 into 0 94.969 * [backup-simplify]: Simplify 1 into 1 94.969 * [taylor]: Taking taylor expansion of PI in n 94.969 * [backup-simplify]: Simplify PI into PI 94.970 * [backup-simplify]: Simplify (* 0 PI) into 0 94.970 * [backup-simplify]: Simplify (* 2 0) into 0 94.972 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 94.973 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 94.974 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 94.974 * [backup-simplify]: Simplify (- k) into (- k) 94.974 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 94.975 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 94.976 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 94.977 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 94.978 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 94.980 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log n)))) (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (exp (* 1/4 (* (- 1 k) (log n))))) 94.982 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (exp (* 1/4 (* (- 1 k) (log n)))))) into (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (* (exp (* 1/4 (* (- 1 k) (log n)))) (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))) 94.982 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (* (exp (* 1/4 (* (- 1 k) (log n)))) (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))) in k 94.982 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 94.982 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 94.982 * [taylor]: Taking taylor expansion of 1/4 in k 94.982 * [backup-simplify]: Simplify 1/4 into 1/4 94.982 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 94.982 * [taylor]: Taking taylor expansion of (- 1 k) in k 94.982 * [taylor]: Taking taylor expansion of 1 in k 94.982 * [backup-simplify]: Simplify 1 into 1 94.982 * [taylor]: Taking taylor expansion of k in k 94.982 * [backup-simplify]: Simplify 0 into 0 94.982 * [backup-simplify]: Simplify 1 into 1 94.982 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 94.982 * [taylor]: Taking taylor expansion of (log n) in k 94.982 * [taylor]: Taking taylor expansion of n in k 94.982 * [backup-simplify]: Simplify n into n 94.982 * [backup-simplify]: Simplify (log n) into (log n) 94.982 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 94.982 * [taylor]: Taking taylor expansion of (* 2 PI) in k 94.982 * [taylor]: Taking taylor expansion of 2 in k 94.982 * [backup-simplify]: Simplify 2 into 2 94.983 * [taylor]: Taking taylor expansion of PI in k 94.983 * [backup-simplify]: Simplify PI into PI 94.983 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 94.984 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 94.984 * [backup-simplify]: Simplify (- 0) into 0 94.985 * [backup-simplify]: Simplify (+ 1 0) into 1 94.986 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 94.987 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 94.988 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 94.989 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 94.989 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (* (- 1 k) (log n)))) (exp (* 1/4 (* (- 1 k) (log (* 2 PI)))))) in k 94.989 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (log n)))) in k 94.989 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (log n))) in k 94.989 * [taylor]: Taking taylor expansion of 1/4 in k 94.989 * [backup-simplify]: Simplify 1/4 into 1/4 94.989 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 94.989 * [taylor]: Taking taylor expansion of (- 1 k) in k 94.989 * [taylor]: Taking taylor expansion of 1 in k 94.989 * [backup-simplify]: Simplify 1 into 1 94.989 * [taylor]: Taking taylor expansion of k in k 94.989 * [backup-simplify]: Simplify 0 into 0 94.989 * [backup-simplify]: Simplify 1 into 1 94.989 * [taylor]: Taking taylor expansion of (log n) in k 94.989 * [taylor]: Taking taylor expansion of n in k 94.989 * [backup-simplify]: Simplify n into n 94.989 * [backup-simplify]: Simplify (log n) into (log n) 94.990 * [backup-simplify]: Simplify (- 0) into 0 94.991 * [backup-simplify]: Simplify (+ 1 0) into 1 94.991 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 94.991 * [backup-simplify]: Simplify (* 1/4 (log n)) into (* 1/4 (log n)) 94.991 * [backup-simplify]: Simplify (exp (* 1/4 (log n))) into (pow n 1/4) 94.991 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) in k 94.991 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (log (* 2 PI)))) in k 94.991 * [taylor]: Taking taylor expansion of 1/4 in k 94.991 * [backup-simplify]: Simplify 1/4 into 1/4 94.991 * [taylor]: Taking taylor expansion of (* (- 1 k) (log (* 2 PI))) in k 94.991 * [taylor]: Taking taylor expansion of (- 1 k) in k 94.991 * [taylor]: Taking taylor expansion of 1 in k 94.991 * [backup-simplify]: Simplify 1 into 1 94.991 * [taylor]: Taking taylor expansion of k in k 94.991 * [backup-simplify]: Simplify 0 into 0 94.991 * [backup-simplify]: Simplify 1 into 1 94.991 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 94.991 * [taylor]: Taking taylor expansion of (* 2 PI) in k 94.991 * [taylor]: Taking taylor expansion of 2 in k 94.991 * [backup-simplify]: Simplify 2 into 2 94.991 * [taylor]: Taking taylor expansion of PI in k 94.991 * [backup-simplify]: Simplify PI into PI 94.992 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 94.993 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 94.993 * [backup-simplify]: Simplify (- 0) into 0 94.993 * [backup-simplify]: Simplify (+ 1 0) into 1 94.995 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 94.997 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 94.999 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 95.000 * [backup-simplify]: Simplify (* (pow n 1/4) (pow (* 2 PI) 1/4)) into (pow (* PI (* n 2)) 1/4) 95.000 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (* PI (* n 2)) 1/4)) into (* (pow (* PI (* n 2)) 1/4) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))) 95.001 * [backup-simplify]: Simplify (* (pow (* PI (* n 2)) 1/4) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))) into (* (pow (* PI (* n 2)) 1/4) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))) 95.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 95.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 95.003 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 95.004 * [backup-simplify]: Simplify (- 0) into 0 95.004 * [backup-simplify]: Simplify (+ 0 0) into 0 95.004 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 95.005 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 95.006 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 95.007 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 95.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 95.008 * [backup-simplify]: Simplify (- 0) into 0 95.008 * [backup-simplify]: Simplify (+ 0 0) into 0 95.009 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 95.009 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 95.009 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (log n))) into 0 95.010 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 95.010 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (log n)))) 0) (* 0 (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))))) into 0 95.011 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 95.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 95.012 * [backup-simplify]: Simplify (- 0) into 0 95.012 * [backup-simplify]: Simplify (+ 0 0) into 0 95.012 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 95.013 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (log (* 2 PI)))) into 0 95.017 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 95.018 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 0) (* 0 (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (exp (* 1/4 (* (- 1 k) (log n))))))) into 0 95.018 * [taylor]: Taking taylor expansion of 0 in k 95.018 * [backup-simplify]: Simplify 0 into 0 95.018 * [backup-simplify]: Simplify 0 into 0 95.019 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 95.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 95.020 * [backup-simplify]: Simplify (- 1) into -1 95.020 * [backup-simplify]: Simplify (+ 0 -1) into -1 95.022 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log (* 2 PI)))) into (- (log (* 2 PI))) 95.025 * [backup-simplify]: Simplify (+ (* 1/4 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))) into (- (* 1/4 (log (* 2 PI)))) 95.037 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1)))) into (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) 95.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 95.039 * [backup-simplify]: Simplify (- 1) into -1 95.039 * [backup-simplify]: Simplify (+ 0 -1) into -1 95.040 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 95.040 * [backup-simplify]: Simplify (+ (* 1/4 (- (log n))) (* 0 (log n))) into (- (* 1/4 (log n))) 95.040 * [backup-simplify]: Simplify (* (exp (* 1/4 (log n))) (+ (* (/ (pow (- (* 1/4 (log n))) 1) 1)))) into (* -1/4 (* (pow n 1/4) (log n))) 95.046 * [backup-simplify]: Simplify (+ (* (pow n 1/4) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* -1/4 (* (pow n 1/4) (log n))) (pow (* 2 PI) 1/4))) into (- (+ (* 1/4 (* (pow (* PI (* n 2)) 1/4) (log (* 2 PI)))) (* 1/4 (* (pow (* PI (* n 2)) 1/4) (log n))))) 95.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 95.047 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 95.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 95.049 * [backup-simplify]: Simplify (+ 0 0) into 0 95.050 * [backup-simplify]: Simplify (- 1) into -1 95.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 95.051 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 95.052 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 95.054 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 95.057 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (- (+ (* 1/4 (* (pow (* PI (* n 2)) 1/4) (log (* 2 PI)))) (* 1/4 (* (pow (* PI (* n 2)) 1/4) (log n)))))) (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (pow (* PI (* n 2)) 1/4))) into (- (+ (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log n)))))) 95.060 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log n)))))) into (- (+ (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log n)))))) 95.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 95.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 95.063 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 95.063 * [backup-simplify]: Simplify (- 0) into 0 95.063 * [backup-simplify]: Simplify (+ 0 0) into 0 95.064 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 95.065 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 95.066 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 95.067 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 95.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 95.069 * [backup-simplify]: Simplify (- 0) into 0 95.069 * [backup-simplify]: Simplify (+ 0 0) into 0 95.070 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 95.070 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 95.070 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 95.072 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 95.074 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))))) into 0 95.075 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 95.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 95.079 * [backup-simplify]: Simplify (- 0) into 0 95.079 * [backup-simplify]: Simplify (+ 0 0) into 0 95.080 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 95.081 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 95.083 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 95.086 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (exp (* 1/4 (* (- 1 k) (log n)))))))) into 0 95.086 * [taylor]: Taking taylor expansion of 0 in k 95.086 * [backup-simplify]: Simplify 0 into 0 95.086 * [backup-simplify]: Simplify 0 into 0 95.086 * [backup-simplify]: Simplify 0 into 0 95.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 95.089 * [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 95.089 * [backup-simplify]: Simplify (- 0) into 0 95.090 * [backup-simplify]: Simplify (+ 0 0) into 0 95.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log (* 2 PI))))) into 0 95.091 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI))))) into 0 95.100 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) 95.101 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 95.101 * [backup-simplify]: Simplify (- 0) into 0 95.101 * [backup-simplify]: Simplify (+ 0 0) into 0 95.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 95.102 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 95.103 * [backup-simplify]: Simplify (* (exp (* 1/4 (log n))) (+ (* (/ (pow (- (* 1/4 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (* (pow n 1/4) (pow (log n) 2))) 95.109 * [backup-simplify]: Simplify (+ (* (pow n 1/4) (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/4 (* (pow n 1/4) (log n))) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* 1/32 (* (pow n 1/4) (pow (log n) 2))) (pow (* 2 PI) 1/4)))) into (+ (* 1/32 (* (pow (* PI (* n 2)) 1/4) (pow (log n) 2))) (+ (* 1/32 (* (pow (* PI (* n 2)) 1/4) (pow (log (* 2 PI)) 2))) (* 1/16 (* (pow (* PI (* n 2)) 1/4) (* (log n) (log (* 2 PI))))))) 95.110 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 95.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 95.113 * [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 95.113 * [backup-simplify]: Simplify (+ 0 0) into 0 95.113 * [backup-simplify]: Simplify (- 0) into 0 95.113 * [backup-simplify]: Simplify (+ 0 0) into 0 95.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 95.116 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 95.121 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 95.136 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (pow (* PI (* n 2)) 1/4) (pow (log n) 2))) (+ (* 1/32 (* (pow (* PI (* n 2)) 1/4) (pow (log (* 2 PI)) 2))) (* 1/16 (* (pow (* PI (* n 2)) 1/4) (* (log n) (log (* 2 PI)))))))) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (- (+ (* 1/4 (* (pow (* PI (* n 2)) 1/4) (log (* 2 PI)))) (* 1/4 (* (pow (* PI (* n 2)) 1/4) (log n)))))) (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* PI (* n 2)) 1/4)))) into (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/4 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) 95.143 * [backup-simplify]: Simplify (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/4 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/4 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) 95.152 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/4 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log n)))))) (* k 1)) (* (pow (* PI (* n 2)) 1/4) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))) into (- (+ (* 1/4 (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log (* 2 PI)) (* (pow k 2) (log n)))) (pow (* PI (* n 2)) 1/4))) (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (pow k 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (+ (* (pow (* PI (* n 2)) 1/4) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))) (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))))))) (+ (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) k)))) (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))) 95.153 * [backup-simplify]: Simplify (* (pow (/ 1 n) (/ (/ (- 1 (/ 1 k)) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 (/ 1 k)) 2) 2)) (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)))) into (* (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))))) 95.153 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))))) in (n k) around 0 95.153 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))))) in k 95.153 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) in k 95.153 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 95.153 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n))) in k 95.153 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 95.153 * [taylor]: Taking taylor expansion of 1/4 in k 95.153 * [backup-simplify]: Simplify 1/4 into 1/4 95.153 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 95.153 * [taylor]: Taking taylor expansion of 1 in k 95.153 * [backup-simplify]: Simplify 1 into 1 95.153 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.153 * [taylor]: Taking taylor expansion of k in k 95.153 * [backup-simplify]: Simplify 0 into 0 95.153 * [backup-simplify]: Simplify 1 into 1 95.153 * [backup-simplify]: Simplify (/ 1 1) into 1 95.153 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 95.153 * [taylor]: Taking taylor expansion of (/ 1 n) in k 95.153 * [taylor]: Taking taylor expansion of n in k 95.153 * [backup-simplify]: Simplify n into n 95.153 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 95.153 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 95.154 * [backup-simplify]: Simplify (- 1) into -1 95.154 * [backup-simplify]: Simplify (+ 0 -1) into -1 95.154 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 95.154 * [backup-simplify]: Simplify (* -1/4 (log (/ 1 n))) into (* -1/4 (log (/ 1 n))) 95.154 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 95.154 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))) in k 95.154 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 95.154 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 95.155 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 95.155 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 95.155 * [taylor]: Taking taylor expansion of 1/4 in k 95.155 * [backup-simplify]: Simplify 1/4 into 1/4 95.155 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 95.155 * [taylor]: Taking taylor expansion of 1 in k 95.155 * [backup-simplify]: Simplify 1 into 1 95.155 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.155 * [taylor]: Taking taylor expansion of k in k 95.155 * [backup-simplify]: Simplify 0 into 0 95.155 * [backup-simplify]: Simplify 1 into 1 95.155 * [backup-simplify]: Simplify (/ 1 1) into 1 95.155 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 95.155 * [taylor]: Taking taylor expansion of (* 2 PI) in k 95.155 * [taylor]: Taking taylor expansion of 2 in k 95.155 * [backup-simplify]: Simplify 2 into 2 95.155 * [taylor]: Taking taylor expansion of PI in k 95.155 * [backup-simplify]: Simplify PI into PI 95.155 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.156 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.156 * [backup-simplify]: Simplify (- 1) into -1 95.156 * [backup-simplify]: Simplify (+ 0 -1) into -1 95.157 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 95.158 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 95.158 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 95.158 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 95.158 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 95.158 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 95.158 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 95.158 * [taylor]: Taking taylor expansion of 1/4 in k 95.158 * [backup-simplify]: Simplify 1/4 into 1/4 95.158 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 95.158 * [taylor]: Taking taylor expansion of 1 in k 95.158 * [backup-simplify]: Simplify 1 into 1 95.159 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.159 * [taylor]: Taking taylor expansion of k in k 95.159 * [backup-simplify]: Simplify 0 into 0 95.159 * [backup-simplify]: Simplify 1 into 1 95.159 * [backup-simplify]: Simplify (/ 1 1) into 1 95.159 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 95.159 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 95.159 * [taylor]: Taking taylor expansion of 2 in k 95.159 * [backup-simplify]: Simplify 2 into 2 95.159 * [taylor]: Taking taylor expansion of (/ PI n) in k 95.159 * [taylor]: Taking taylor expansion of PI in k 95.159 * [backup-simplify]: Simplify PI into PI 95.159 * [taylor]: Taking taylor expansion of n in k 95.159 * [backup-simplify]: Simplify n into n 95.159 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 95.159 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 95.159 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 95.159 * [backup-simplify]: Simplify (- 1) into -1 95.160 * [backup-simplify]: Simplify (+ 0 -1) into -1 95.160 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 95.160 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 95.160 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 95.160 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))))) in n 95.160 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) in n 95.160 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 95.160 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n))) in n 95.160 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 95.160 * [taylor]: Taking taylor expansion of 1/4 in n 95.160 * [backup-simplify]: Simplify 1/4 into 1/4 95.160 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 95.160 * [taylor]: Taking taylor expansion of 1 in n 95.160 * [backup-simplify]: Simplify 1 into 1 95.160 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.160 * [taylor]: Taking taylor expansion of k in n 95.160 * [backup-simplify]: Simplify k into k 95.160 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.160 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 95.160 * [taylor]: Taking taylor expansion of (/ 1 n) in n 95.160 * [taylor]: Taking taylor expansion of n in n 95.160 * [backup-simplify]: Simplify 0 into 0 95.160 * [backup-simplify]: Simplify 1 into 1 95.161 * [backup-simplify]: Simplify (/ 1 1) into 1 95.161 * [backup-simplify]: Simplify (log 1) into 0 95.161 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 95.161 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 95.161 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 95.161 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 95.162 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log n))) into (* -1/4 (* (- 1 (/ 1 k)) (log n))) 95.162 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 95.162 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))) in n 95.162 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in n 95.162 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 95.162 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in n 95.162 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 95.162 * [taylor]: Taking taylor expansion of 1/4 in n 95.162 * [backup-simplify]: Simplify 1/4 into 1/4 95.162 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 95.162 * [taylor]: Taking taylor expansion of 1 in n 95.162 * [backup-simplify]: Simplify 1 into 1 95.162 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.162 * [taylor]: Taking taylor expansion of k in n 95.162 * [backup-simplify]: Simplify k into k 95.162 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.162 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 95.162 * [taylor]: Taking taylor expansion of (* 2 PI) in n 95.162 * [taylor]: Taking taylor expansion of 2 in n 95.162 * [backup-simplify]: Simplify 2 into 2 95.162 * [taylor]: Taking taylor expansion of PI in n 95.162 * [backup-simplify]: Simplify PI into PI 95.162 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.163 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.163 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 95.163 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 95.163 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 95.164 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 95.164 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 95.164 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 95.164 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 95.164 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 95.164 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 95.164 * [taylor]: Taking taylor expansion of 1/4 in n 95.164 * [backup-simplify]: Simplify 1/4 into 1/4 95.165 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 95.165 * [taylor]: Taking taylor expansion of 1 in n 95.165 * [backup-simplify]: Simplify 1 into 1 95.165 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.165 * [taylor]: Taking taylor expansion of k in n 95.165 * [backup-simplify]: Simplify k into k 95.165 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.165 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 95.165 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 95.165 * [taylor]: Taking taylor expansion of 2 in n 95.165 * [backup-simplify]: Simplify 2 into 2 95.165 * [taylor]: Taking taylor expansion of (/ PI n) in n 95.165 * [taylor]: Taking taylor expansion of PI in n 95.165 * [backup-simplify]: Simplify PI into PI 95.165 * [taylor]: Taking taylor expansion of n in n 95.165 * [backup-simplify]: Simplify 0 into 0 95.165 * [backup-simplify]: Simplify 1 into 1 95.165 * [backup-simplify]: Simplify (/ PI 1) into PI 95.165 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.166 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.166 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 95.166 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 95.166 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 95.167 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 95.168 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 95.168 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 95.168 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))))) in n 95.168 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) in n 95.168 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 95.168 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n))) in n 95.168 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 95.169 * [taylor]: Taking taylor expansion of 1/4 in n 95.169 * [backup-simplify]: Simplify 1/4 into 1/4 95.169 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 95.169 * [taylor]: Taking taylor expansion of 1 in n 95.169 * [backup-simplify]: Simplify 1 into 1 95.169 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.169 * [taylor]: Taking taylor expansion of k in n 95.169 * [backup-simplify]: Simplify k into k 95.169 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.169 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 95.169 * [taylor]: Taking taylor expansion of (/ 1 n) in n 95.169 * [taylor]: Taking taylor expansion of n in n 95.169 * [backup-simplify]: Simplify 0 into 0 95.169 * [backup-simplify]: Simplify 1 into 1 95.169 * [backup-simplify]: Simplify (/ 1 1) into 1 95.169 * [backup-simplify]: Simplify (log 1) into 0 95.169 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 95.169 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 95.169 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 95.170 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 95.170 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log n))) into (* -1/4 (* (- 1 (/ 1 k)) (log n))) 95.170 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 95.170 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))) in n 95.170 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in n 95.170 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 95.170 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in n 95.170 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 95.170 * [taylor]: Taking taylor expansion of 1/4 in n 95.170 * [backup-simplify]: Simplify 1/4 into 1/4 95.170 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 95.170 * [taylor]: Taking taylor expansion of 1 in n 95.170 * [backup-simplify]: Simplify 1 into 1 95.170 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.170 * [taylor]: Taking taylor expansion of k in n 95.170 * [backup-simplify]: Simplify k into k 95.170 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.170 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 95.170 * [taylor]: Taking taylor expansion of (* 2 PI) in n 95.170 * [taylor]: Taking taylor expansion of 2 in n 95.170 * [backup-simplify]: Simplify 2 into 2 95.170 * [taylor]: Taking taylor expansion of PI in n 95.170 * [backup-simplify]: Simplify PI into PI 95.170 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.171 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.171 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 95.171 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 95.171 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 95.172 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 95.173 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 95.173 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 95.173 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 95.173 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 95.173 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 95.173 * [taylor]: Taking taylor expansion of 1/4 in n 95.173 * [backup-simplify]: Simplify 1/4 into 1/4 95.173 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 95.173 * [taylor]: Taking taylor expansion of 1 in n 95.173 * [backup-simplify]: Simplify 1 into 1 95.173 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.173 * [taylor]: Taking taylor expansion of k in n 95.173 * [backup-simplify]: Simplify k into k 95.173 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.173 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 95.173 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 95.173 * [taylor]: Taking taylor expansion of 2 in n 95.173 * [backup-simplify]: Simplify 2 into 2 95.173 * [taylor]: Taking taylor expansion of (/ PI n) in n 95.173 * [taylor]: Taking taylor expansion of PI in n 95.173 * [backup-simplify]: Simplify PI into PI 95.173 * [taylor]: Taking taylor expansion of n in n 95.173 * [backup-simplify]: Simplify 0 into 0 95.173 * [backup-simplify]: Simplify 1 into 1 95.173 * [backup-simplify]: Simplify (/ PI 1) into PI 95.174 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.174 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.174 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 95.174 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 95.174 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 95.175 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 95.176 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 95.177 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 95.178 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 95.180 * [backup-simplify]: Simplify (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))) 95.180 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))) in k 95.181 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in k 95.181 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in k 95.181 * [taylor]: Taking taylor expansion of 1/4 in k 95.181 * [backup-simplify]: Simplify 1/4 into 1/4 95.181 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in k 95.181 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 95.181 * [taylor]: Taking taylor expansion of 1 in k 95.181 * [backup-simplify]: Simplify 1 into 1 95.181 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.181 * [taylor]: Taking taylor expansion of k in k 95.181 * [backup-simplify]: Simplify 0 into 0 95.181 * [backup-simplify]: Simplify 1 into 1 95.181 * [backup-simplify]: Simplify (/ 1 1) into 1 95.181 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 95.181 * [taylor]: Taking taylor expansion of (* 2 PI) in k 95.181 * [taylor]: Taking taylor expansion of 2 in k 95.181 * [backup-simplify]: Simplify 2 into 2 95.181 * [taylor]: Taking taylor expansion of PI in k 95.181 * [backup-simplify]: Simplify PI into PI 95.182 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.183 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.183 * [backup-simplify]: Simplify (- 1) into -1 95.184 * [backup-simplify]: Simplify (+ 0 -1) into -1 95.185 * [backup-simplify]: Simplify (* -1 (log (* 2 PI))) into (* -1 (log (* 2 PI))) 95.188 * [backup-simplify]: Simplify (* 1/4 (* -1 (log (* 2 PI)))) into (* -1/4 (log (* 2 PI))) 95.189 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 95.189 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n))))) in k 95.189 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 95.189 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 95.189 * [taylor]: Taking taylor expansion of 1/4 in k 95.189 * [backup-simplify]: Simplify 1/4 into 1/4 95.189 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 95.190 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 95.190 * [taylor]: Taking taylor expansion of 1 in k 95.190 * [backup-simplify]: Simplify 1 into 1 95.190 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.190 * [taylor]: Taking taylor expansion of k in k 95.190 * [backup-simplify]: Simplify 0 into 0 95.190 * [backup-simplify]: Simplify 1 into 1 95.190 * [backup-simplify]: Simplify (/ 1 1) into 1 95.190 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 95.190 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 95.190 * [taylor]: Taking taylor expansion of (* 2 PI) in k 95.190 * [taylor]: Taking taylor expansion of 2 in k 95.190 * [backup-simplify]: Simplify 2 into 2 95.190 * [taylor]: Taking taylor expansion of PI in k 95.190 * [backup-simplify]: Simplify PI into PI 95.191 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.192 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.192 * [taylor]: Taking taylor expansion of (log n) in k 95.192 * [taylor]: Taking taylor expansion of n in k 95.192 * [backup-simplify]: Simplify n into n 95.192 * [backup-simplify]: Simplify (log n) into (log n) 95.192 * [backup-simplify]: Simplify (- 1) into -1 95.193 * [backup-simplify]: Simplify (+ 0 -1) into -1 95.193 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 95.194 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 95.195 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 95.196 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 95.197 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 95.197 * [taylor]: Taking taylor expansion of (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) in k 95.197 * [taylor]: Taking taylor expansion of (* -1/4 (* (- 1 (/ 1 k)) (log n))) in k 95.197 * [taylor]: Taking taylor expansion of -1/4 in k 95.197 * [backup-simplify]: Simplify -1/4 into -1/4 95.197 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 95.197 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 95.197 * [taylor]: Taking taylor expansion of 1 in k 95.197 * [backup-simplify]: Simplify 1 into 1 95.197 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.197 * [taylor]: Taking taylor expansion of k in k 95.197 * [backup-simplify]: Simplify 0 into 0 95.197 * [backup-simplify]: Simplify 1 into 1 95.198 * [backup-simplify]: Simplify (/ 1 1) into 1 95.198 * [taylor]: Taking taylor expansion of (log n) in k 95.198 * [taylor]: Taking taylor expansion of n in k 95.198 * [backup-simplify]: Simplify n into n 95.198 * [backup-simplify]: Simplify (log n) into (log n) 95.198 * [backup-simplify]: Simplify (- 1) into -1 95.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 95.199 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 95.199 * [backup-simplify]: Simplify (* -1/4 (* -1 (log n))) into (* 1/4 (log n)) 95.199 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 95.200 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n))))) into (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n))))) 95.203 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))) 95.205 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))) 95.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 95.207 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 95.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 95.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 95.209 * [backup-simplify]: Simplify (- 0) into 0 95.210 * [backup-simplify]: Simplify (+ 0 0) into 0 95.210 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 95.212 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 95.213 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 95.215 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 95.215 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 95.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 95.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 95.218 * [backup-simplify]: Simplify (- 0) into 0 95.218 * [backup-simplify]: Simplify (+ 0 0) into 0 95.219 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 95.220 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 95.221 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 95.223 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 95.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 95.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 95.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 95.226 * [backup-simplify]: Simplify (- 0) into 0 95.227 * [backup-simplify]: Simplify (+ 0 0) into 0 95.227 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 95.228 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 95.228 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 95.229 * [backup-simplify]: Simplify (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 95.231 * [backup-simplify]: Simplify (+ (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 95.231 * [taylor]: Taking taylor expansion of 0 in k 95.231 * [backup-simplify]: Simplify 0 into 0 95.231 * [backup-simplify]: Simplify 0 into 0 95.232 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))) into 0 95.235 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (* 0 (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n))))))) into 0 95.235 * [backup-simplify]: Simplify 0 into 0 95.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.239 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 95.243 * [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 95.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.243 * [backup-simplify]: Simplify (- 0) into 0 95.244 * [backup-simplify]: Simplify (+ 0 0) into 0 95.245 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 95.246 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 95.247 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 95.250 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 95.251 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 95.255 * [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 95.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.255 * [backup-simplify]: Simplify (- 0) into 0 95.256 * [backup-simplify]: Simplify (+ 0 0) into 0 95.257 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 95.258 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 95.260 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 95.263 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 95.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.266 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 95.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.267 * [backup-simplify]: Simplify (- 0) into 0 95.267 * [backup-simplify]: Simplify (+ 0 0) into 0 95.268 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 95.269 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 95.269 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 95.270 * [backup-simplify]: Simplify (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 95.272 * [backup-simplify]: Simplify (+ (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0 95.272 * [taylor]: Taking taylor expansion of 0 in k 95.272 * [backup-simplify]: Simplify 0 into 0 95.272 * [backup-simplify]: Simplify 0 into 0 95.272 * [backup-simplify]: Simplify 0 into 0 95.273 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* -1/4 (* (- 1 (/ 1 k)) (log n))))))) into 0 95.275 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))))) into 0 95.275 * [backup-simplify]: Simplify 0 into 0 95.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 95.279 * [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 95.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.280 * [backup-simplify]: Simplify (- 0) into 0 95.280 * [backup-simplify]: Simplify (+ 0 0) into 0 95.280 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 95.281 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 95.282 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 95.284 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 95.285 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 95.288 * [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 95.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.289 * [backup-simplify]: Simplify (- 0) into 0 95.289 * [backup-simplify]: Simplify (+ 0 0) into 0 95.289 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 95.290 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 95.292 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 95.294 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0 95.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.297 * [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 95.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.298 * [backup-simplify]: Simplify (- 0) into 0 95.298 * [backup-simplify]: Simplify (+ 0 0) into 0 95.299 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 95.299 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 95.300 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 95.301 * [backup-simplify]: Simplify (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 95.303 * [backup-simplify]: Simplify (+ (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))))) into 0 95.303 * [taylor]: Taking taylor expansion of 0 in k 95.303 * [backup-simplify]: Simplify 0 into 0 95.303 * [backup-simplify]: Simplify 0 into 0 95.304 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) (exp (* -1/4 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))))) into (* (exp (* -1/4 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))) 95.305 * [backup-simplify]: Simplify (* (pow (/ 1 (- n)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)))) into (* (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))))) 95.305 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))))) in (n k) around 0 95.305 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))))) in k 95.305 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) in k 95.305 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 95.305 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 95.305 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 95.305 * [taylor]: Taking taylor expansion of 1/4 in k 95.305 * [backup-simplify]: Simplify 1/4 into 1/4 95.305 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 95.305 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.305 * [taylor]: Taking taylor expansion of k in k 95.306 * [backup-simplify]: Simplify 0 into 0 95.306 * [backup-simplify]: Simplify 1 into 1 95.306 * [backup-simplify]: Simplify (/ 1 1) into 1 95.306 * [taylor]: Taking taylor expansion of 1 in k 95.306 * [backup-simplify]: Simplify 1 into 1 95.306 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 95.306 * [taylor]: Taking taylor expansion of (/ -1 n) in k 95.306 * [taylor]: Taking taylor expansion of -1 in k 95.306 * [backup-simplify]: Simplify -1 into -1 95.306 * [taylor]: Taking taylor expansion of n in k 95.306 * [backup-simplify]: Simplify n into n 95.306 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 95.306 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 95.306 * [backup-simplify]: Simplify (+ 1 0) into 1 95.307 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 95.307 * [backup-simplify]: Simplify (* 1/4 (log (/ -1 n))) into (* 1/4 (log (/ -1 n))) 95.307 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 95.307 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1)))) in k 95.307 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 95.307 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 95.307 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 95.307 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 95.307 * [taylor]: Taking taylor expansion of 1/4 in k 95.307 * [backup-simplify]: Simplify 1/4 into 1/4 95.307 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 95.307 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.307 * [taylor]: Taking taylor expansion of k in k 95.307 * [backup-simplify]: Simplify 0 into 0 95.307 * [backup-simplify]: Simplify 1 into 1 95.307 * [backup-simplify]: Simplify (/ 1 1) into 1 95.307 * [taylor]: Taking taylor expansion of 1 in k 95.307 * [backup-simplify]: Simplify 1 into 1 95.307 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 95.307 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 95.307 * [taylor]: Taking taylor expansion of -2 in k 95.307 * [backup-simplify]: Simplify -2 into -2 95.307 * [taylor]: Taking taylor expansion of (/ PI n) in k 95.307 * [taylor]: Taking taylor expansion of PI in k 95.307 * [backup-simplify]: Simplify PI into PI 95.307 * [taylor]: Taking taylor expansion of n in k 95.307 * [backup-simplify]: Simplify n into n 95.307 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 95.307 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 95.307 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 95.308 * [backup-simplify]: Simplify (+ 1 0) into 1 95.308 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 95.308 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 95.308 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 95.308 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 95.308 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 95.308 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 95.308 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 95.308 * [taylor]: Taking taylor expansion of 1/4 in k 95.308 * [backup-simplify]: Simplify 1/4 into 1/4 95.308 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 95.308 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.308 * [taylor]: Taking taylor expansion of k in k 95.308 * [backup-simplify]: Simplify 0 into 0 95.308 * [backup-simplify]: Simplify 1 into 1 95.309 * [backup-simplify]: Simplify (/ 1 1) into 1 95.309 * [taylor]: Taking taylor expansion of 1 in k 95.309 * [backup-simplify]: Simplify 1 into 1 95.309 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 95.309 * [taylor]: Taking taylor expansion of (* 2 PI) in k 95.309 * [taylor]: Taking taylor expansion of 2 in k 95.309 * [backup-simplify]: Simplify 2 into 2 95.309 * [taylor]: Taking taylor expansion of PI in k 95.309 * [backup-simplify]: Simplify PI into PI 95.309 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.310 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.310 * [backup-simplify]: Simplify (+ 1 0) into 1 95.310 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 95.311 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 95.312 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 95.312 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))))) in n 95.312 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) in n 95.312 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 95.312 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 95.312 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 95.312 * [taylor]: Taking taylor expansion of 1/4 in n 95.312 * [backup-simplify]: Simplify 1/4 into 1/4 95.312 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 95.312 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.312 * [taylor]: Taking taylor expansion of k in n 95.312 * [backup-simplify]: Simplify k into k 95.312 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.312 * [taylor]: Taking taylor expansion of 1 in n 95.312 * [backup-simplify]: Simplify 1 into 1 95.312 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 95.312 * [taylor]: Taking taylor expansion of (/ -1 n) in n 95.312 * [taylor]: Taking taylor expansion of -1 in n 95.312 * [backup-simplify]: Simplify -1 into -1 95.312 * [taylor]: Taking taylor expansion of n in n 95.312 * [backup-simplify]: Simplify 0 into 0 95.313 * [backup-simplify]: Simplify 1 into 1 95.313 * [backup-simplify]: Simplify (/ -1 1) into -1 95.313 * [backup-simplify]: Simplify (log -1) into (log -1) 95.313 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 95.313 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 95.314 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 95.314 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 95.314 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 95.314 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1)))) in n 95.314 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 95.314 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 95.314 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 95.314 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 95.314 * [taylor]: Taking taylor expansion of 1/4 in n 95.314 * [backup-simplify]: Simplify 1/4 into 1/4 95.314 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 95.315 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.315 * [taylor]: Taking taylor expansion of k in n 95.315 * [backup-simplify]: Simplify k into k 95.315 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.315 * [taylor]: Taking taylor expansion of 1 in n 95.315 * [backup-simplify]: Simplify 1 into 1 95.315 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 95.315 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 95.315 * [taylor]: Taking taylor expansion of -2 in n 95.315 * [backup-simplify]: Simplify -2 into -2 95.315 * [taylor]: Taking taylor expansion of (/ PI n) in n 95.315 * [taylor]: Taking taylor expansion of PI in n 95.315 * [backup-simplify]: Simplify PI into PI 95.315 * [taylor]: Taking taylor expansion of n in n 95.315 * [backup-simplify]: Simplify 0 into 0 95.315 * [backup-simplify]: Simplify 1 into 1 95.315 * [backup-simplify]: Simplify (/ PI 1) into PI 95.315 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 95.316 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 95.316 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 95.316 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 95.317 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 95.318 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 95.318 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 95.318 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in n 95.318 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 95.318 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 95.318 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 95.318 * [taylor]: Taking taylor expansion of 1/4 in n 95.318 * [backup-simplify]: Simplify 1/4 into 1/4 95.318 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 95.318 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.318 * [taylor]: Taking taylor expansion of k in n 95.318 * [backup-simplify]: Simplify k into k 95.318 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.319 * [taylor]: Taking taylor expansion of 1 in n 95.319 * [backup-simplify]: Simplify 1 into 1 95.319 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 95.319 * [taylor]: Taking taylor expansion of (* 2 PI) in n 95.319 * [taylor]: Taking taylor expansion of 2 in n 95.319 * [backup-simplify]: Simplify 2 into 2 95.319 * [taylor]: Taking taylor expansion of PI in n 95.319 * [backup-simplify]: Simplify PI into PI 95.319 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.319 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.320 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 95.320 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 95.320 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 95.321 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 95.321 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))))) in n 95.321 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) in n 95.321 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 95.321 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 95.321 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 95.321 * [taylor]: Taking taylor expansion of 1/4 in n 95.321 * [backup-simplify]: Simplify 1/4 into 1/4 95.321 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 95.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.321 * [taylor]: Taking taylor expansion of k in n 95.321 * [backup-simplify]: Simplify k into k 95.321 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.321 * [taylor]: Taking taylor expansion of 1 in n 95.321 * [backup-simplify]: Simplify 1 into 1 95.321 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 95.321 * [taylor]: Taking taylor expansion of (/ -1 n) in n 95.321 * [taylor]: Taking taylor expansion of -1 in n 95.321 * [backup-simplify]: Simplify -1 into -1 95.321 * [taylor]: Taking taylor expansion of n in n 95.321 * [backup-simplify]: Simplify 0 into 0 95.321 * [backup-simplify]: Simplify 1 into 1 95.322 * [backup-simplify]: Simplify (/ -1 1) into -1 95.322 * [backup-simplify]: Simplify (log -1) into (log -1) 95.322 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 95.322 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 95.322 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 95.323 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 95.323 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 95.323 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1)))) in n 95.323 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 95.323 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 95.323 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 95.323 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 95.323 * [taylor]: Taking taylor expansion of 1/4 in n 95.323 * [backup-simplify]: Simplify 1/4 into 1/4 95.323 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 95.323 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.323 * [taylor]: Taking taylor expansion of k in n 95.323 * [backup-simplify]: Simplify k into k 95.323 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.323 * [taylor]: Taking taylor expansion of 1 in n 95.323 * [backup-simplify]: Simplify 1 into 1 95.323 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 95.323 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 95.323 * [taylor]: Taking taylor expansion of -2 in n 95.323 * [backup-simplify]: Simplify -2 into -2 95.323 * [taylor]: Taking taylor expansion of (/ PI n) in n 95.323 * [taylor]: Taking taylor expansion of PI in n 95.323 * [backup-simplify]: Simplify PI into PI 95.323 * [taylor]: Taking taylor expansion of n in n 95.324 * [backup-simplify]: Simplify 0 into 0 95.324 * [backup-simplify]: Simplify 1 into 1 95.324 * [backup-simplify]: Simplify (/ PI 1) into PI 95.324 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 95.325 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 95.325 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 95.325 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 95.326 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 95.326 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 95.327 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 95.327 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in n 95.327 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 95.327 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 95.327 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 95.327 * [taylor]: Taking taylor expansion of 1/4 in n 95.327 * [backup-simplify]: Simplify 1/4 into 1/4 95.327 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 95.327 * [taylor]: Taking taylor expansion of (/ 1 k) in n 95.327 * [taylor]: Taking taylor expansion of k in n 95.327 * [backup-simplify]: Simplify k into k 95.327 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 95.327 * [taylor]: Taking taylor expansion of 1 in n 95.327 * [backup-simplify]: Simplify 1 into 1 95.327 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 95.327 * [taylor]: Taking taylor expansion of (* 2 PI) in n 95.327 * [taylor]: Taking taylor expansion of 2 in n 95.327 * [backup-simplify]: Simplify 2 into 2 95.327 * [taylor]: Taking taylor expansion of PI in n 95.327 * [backup-simplify]: Simplify PI into PI 95.328 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.328 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.328 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 95.328 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 95.329 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 95.330 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 95.331 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 95.333 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 95.333 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) in k 95.333 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 95.333 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 95.333 * [taylor]: Taking taylor expansion of 1/4 in k 95.333 * [backup-simplify]: Simplify 1/4 into 1/4 95.333 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 95.333 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 95.333 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.333 * [taylor]: Taking taylor expansion of k in k 95.333 * [backup-simplify]: Simplify 0 into 0 95.333 * [backup-simplify]: Simplify 1 into 1 95.333 * [backup-simplify]: Simplify (/ 1 1) into 1 95.333 * [taylor]: Taking taylor expansion of 1 in k 95.333 * [backup-simplify]: Simplify 1 into 1 95.333 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 95.333 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 95.333 * [taylor]: Taking taylor expansion of (* -2 PI) in k 95.333 * [taylor]: Taking taylor expansion of -2 in k 95.333 * [backup-simplify]: Simplify -2 into -2 95.333 * [taylor]: Taking taylor expansion of PI in k 95.333 * [backup-simplify]: Simplify PI into PI 95.334 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 95.334 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 95.334 * [taylor]: Taking taylor expansion of (log n) in k 95.334 * [taylor]: Taking taylor expansion of n in k 95.334 * [backup-simplify]: Simplify n into n 95.334 * [backup-simplify]: Simplify (log n) into (log n) 95.335 * [backup-simplify]: Simplify (+ 1 0) into 1 95.335 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 95.335 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 95.337 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 95.338 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 95.339 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 95.339 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) in k 95.339 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 95.339 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 95.339 * [taylor]: Taking taylor expansion of 1/4 in k 95.339 * [backup-simplify]: Simplify 1/4 into 1/4 95.339 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 95.339 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 95.339 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.339 * [taylor]: Taking taylor expansion of k in k 95.339 * [backup-simplify]: Simplify 0 into 0 95.339 * [backup-simplify]: Simplify 1 into 1 95.339 * [backup-simplify]: Simplify (/ 1 1) into 1 95.339 * [taylor]: Taking taylor expansion of 1 in k 95.339 * [backup-simplify]: Simplify 1 into 1 95.339 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 95.339 * [taylor]: Taking taylor expansion of (log -1) in k 95.339 * [taylor]: Taking taylor expansion of -1 in k 95.339 * [backup-simplify]: Simplify -1 into -1 95.340 * [backup-simplify]: Simplify (log -1) into (log -1) 95.340 * [taylor]: Taking taylor expansion of (log n) in k 95.340 * [taylor]: Taking taylor expansion of n in k 95.340 * [backup-simplify]: Simplify n into n 95.340 * [backup-simplify]: Simplify (log n) into (log n) 95.340 * [backup-simplify]: Simplify (+ 1 0) into 1 95.340 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 95.340 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 95.340 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 95.341 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log n))) into (* 1/4 (- (log -1) (log n))) 95.341 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 95.341 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in k 95.341 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in k 95.341 * [taylor]: Taking taylor expansion of 1/4 in k 95.341 * [backup-simplify]: Simplify 1/4 into 1/4 95.341 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in k 95.341 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 95.341 * [taylor]: Taking taylor expansion of (/ 1 k) in k 95.341 * [taylor]: Taking taylor expansion of k in k 95.341 * [backup-simplify]: Simplify 0 into 0 95.341 * [backup-simplify]: Simplify 1 into 1 95.342 * [backup-simplify]: Simplify (/ 1 1) into 1 95.342 * [taylor]: Taking taylor expansion of 1 in k 95.342 * [backup-simplify]: Simplify 1 into 1 95.342 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 95.342 * [taylor]: Taking taylor expansion of (* 2 PI) in k 95.342 * [taylor]: Taking taylor expansion of 2 in k 95.342 * [backup-simplify]: Simplify 2 into 2 95.342 * [taylor]: Taking taylor expansion of PI in k 95.342 * [backup-simplify]: Simplify PI into PI 95.342 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 95.342 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 95.343 * [backup-simplify]: Simplify (+ 1 0) into 1 95.344 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 95.345 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 95.346 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 95.347 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 95.350 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 95.352 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 95.353 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 95.355 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 95.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 95.356 * [backup-simplify]: Simplify (+ 0 0) into 0 95.356 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 95.357 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (log (* 2 PI)))) into 0 95.359 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 95.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 95.360 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 95.362 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 95.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 95.363 * [backup-simplify]: Simplify (+ 0 0) into 0 95.364 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 95.365 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 95.366 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 95.368 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 95.370 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 95.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 95.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 95.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 95.373 * [backup-simplify]: Simplify (+ 0 0) into 0 95.374 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 95.375 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 95.375 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 95.377 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 95.379 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 95.379 * [taylor]: Taking taylor expansion of 0 in k 95.379 * [backup-simplify]: Simplify 0 into 0 95.379 * [backup-simplify]: Simplify 0 into 0 95.381 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 95.383 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 95.384 * [backup-simplify]: Simplify 0 into 0 95.385 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 95.388 * [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 95.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.388 * [backup-simplify]: Simplify (+ 0 0) into 0 95.389 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 95.390 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 95.393 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 95.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.395 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 95.399 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 95.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.399 * [backup-simplify]: Simplify (+ 0 0) into 0 95.400 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 95.402 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 95.403 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 95.406 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 95.408 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 95.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.412 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 95.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.413 * [backup-simplify]: Simplify (+ 0 0) into 0 95.414 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 95.414 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 95.415 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 95.417 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 95.420 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))))) into 0 95.420 * [taylor]: Taking taylor expansion of 0 in k 95.420 * [backup-simplify]: Simplify 0 into 0 95.420 * [backup-simplify]: Simplify 0 into 0 95.420 * [backup-simplify]: Simplify 0 into 0 95.423 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 95.426 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))))) into 0 95.426 * [backup-simplify]: Simplify 0 into 0 95.427 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 95.433 * [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 95.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.434 * [backup-simplify]: Simplify (+ 0 0) into 0 95.436 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 95.437 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 95.439 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 95.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.442 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 95.448 * [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 95.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.449 * [backup-simplify]: Simplify (+ 0 0) into 0 95.450 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 95.451 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 95.453 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 95.456 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 95.459 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))))) into 0 95.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 95.464 * [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 95.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 95.465 * [backup-simplify]: Simplify (+ 0 0) into 0 95.466 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 95.466 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 95.467 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 95.470 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 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 95.472 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))))) into 0 95.472 * [taylor]: Taking taylor expansion of 0 in k 95.472 * [backup-simplify]: Simplify 0 into 0 95.472 * [backup-simplify]: Simplify 0 into 0 95.474 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) (* (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) into (* (exp (* 1/4 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))) 95.474 * * * [progress]: simplifying candidates 95.474 * * * * [progress]: [ 1 / 303 ] simplifiying candidate # 95.474 * * * * [progress]: [ 2 / 303 ] simplifiying candidate # 95.474 * * * * [progress]: [ 3 / 303 ] simplifiying candidate # 95.474 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 95.474 * * [simplify]: iters left: 6 (14 enodes) 95.479 * * [simplify]: iters left: 5 (60 enodes) 95.490 * * [simplify]: iters left: 4 (108 enodes) 95.512 * * [simplify]: iters left: 3 (255 enodes) 95.580 * * [simplify]: Extracting #0: cost 1 inf + 0 95.580 * * [simplify]: Extracting #1: cost 34 inf + 0 95.580 * * [simplify]: Extracting #2: cost 122 inf + 73 95.581 * * [simplify]: Extracting #3: cost 134 inf + 2876 95.584 * * [simplify]: Extracting #4: cost 49 inf + 20493 95.591 * * [simplify]: Extracting #5: cost 4 inf + 30853 95.597 * * [simplify]: Extracting #6: cost 0 inf + 31808 95.604 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI))))) 95.604 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))))) (sqrt k))) 95.604 * * * * [progress]: [ 4 / 303 ] simplifiying candidate # 95.605 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 95.605 * * [simplify]: iters left: 6 (13 enodes) 95.609 * * [simplify]: iters left: 5 (58 enodes) 95.623 * * [simplify]: iters left: 4 (101 enodes) 95.642 * * [simplify]: iters left: 3 (211 enodes) 95.697 * * [simplify]: Extracting #0: cost 1 inf + 0 95.697 * * [simplify]: Extracting #1: cost 28 inf + 0 95.697 * * [simplify]: Extracting #2: cost 110 inf + 73 95.698 * * [simplify]: Extracting #3: cost 127 inf + 1744 95.702 * * [simplify]: Extracting #4: cost 73 inf + 10230 95.709 * * [simplify]: Extracting #5: cost 26 inf + 20266 95.718 * * [simplify]: Extracting #6: cost 6 inf + 24692 95.726 * * [simplify]: Extracting #7: cost 0 inf + 26084 95.731 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) 95.731 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) (sqrt k))) 95.732 * * * * [progress]: [ 5 / 303 ] simplifiying candidate # 95.732 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 95.732 * * [simplify]: iters left: 6 (12 enodes) 95.737 * * [simplify]: iters left: 5 (57 enodes) 95.750 * * [simplify]: iters left: 4 (111 enodes) 95.787 * * [simplify]: iters left: 3 (214 enodes) 95.841 * * [simplify]: iters left: 2 (472 enodes) 96.056 * * [simplify]: Extracting #0: cost 1 inf + 0 96.056 * * [simplify]: Extracting #1: cost 40 inf + 0 96.057 * * [simplify]: Extracting #2: cost 158 inf + 4 96.059 * * [simplify]: Extracting #3: cost 193 inf + 1443 96.065 * * [simplify]: Extracting #4: cost 88 inf + 19136 96.074 * * [simplify]: Extracting #5: cost 7 inf + 36795 96.083 * * [simplify]: Extracting #6: cost 0 inf + 38243 96.095 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 96.096 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)))) (sqrt k))) 96.096 * * * * [progress]: [ 6 / 303 ] simplifiying candidate # 96.096 * * * * [progress]: [ 7 / 303 ] simplifiying candidate # 96.096 * [simplify]: Simplifying (* n (* 2 PI)) 96.096 * * [simplify]: iters left: 4 (5 enodes) 96.100 * * [simplify]: iters left: 3 (19 enodes) 96.106 * * [simplify]: iters left: 2 (27 enodes) 96.114 * * [simplify]: iters left: 1 (32 enodes) 96.122 * * [simplify]: Extracting #0: cost 1 inf + 0 96.122 * * [simplify]: Extracting #1: cost 8 inf + 0 96.122 * * [simplify]: Extracting #2: cost 7 inf + 45 96.122 * * [simplify]: Extracting #3: cost 0 inf + 421 96.123 * [simplify]: Simplified to (* (* PI 2) n) 96.123 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 96.123 * * * * [progress]: [ 8 / 303 ] simplifiying candidate # 96.123 * [simplify]: Simplifying (* n (* 2 PI)) 96.123 * * [simplify]: iters left: 4 (5 enodes) 96.127 * * [simplify]: iters left: 3 (19 enodes) 96.133 * * [simplify]: iters left: 2 (27 enodes) 96.141 * * [simplify]: iters left: 1 (32 enodes) 96.146 * * [simplify]: Extracting #0: cost 1 inf + 0 96.146 * * [simplify]: Extracting #1: cost 8 inf + 0 96.146 * * [simplify]: Extracting #2: cost 7 inf + 45 96.146 * * [simplify]: Extracting #3: cost 0 inf + 421 96.146 * [simplify]: Simplified to (* (* PI 2) n) 96.146 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 96.146 * * * * [progress]: [ 9 / 303 ] simplifiying candidate # 96.146 * [simplify]: Simplifying (* n (* 2 PI)) 96.147 * * [simplify]: iters left: 4 (5 enodes) 96.148 * * [simplify]: iters left: 3 (19 enodes) 96.151 * * [simplify]: iters left: 2 (27 enodes) 96.155 * * [simplify]: iters left: 1 (32 enodes) 96.159 * * [simplify]: Extracting #0: cost 1 inf + 0 96.160 * * [simplify]: Extracting #1: cost 8 inf + 0 96.160 * * [simplify]: Extracting #2: cost 7 inf + 45 96.160 * * [simplify]: Extracting #3: cost 0 inf + 421 96.160 * [simplify]: Simplified to (* (* PI 2) n) 96.160 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 96.160 * * * * [progress]: [ 10 / 303 ] simplifiying candidate # 96.160 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 96.160 * * [simplify]: iters left: 5 (9 enodes) 96.163 * * [simplify]: iters left: 4 (37 enodes) 96.169 * * [simplify]: iters left: 3 (57 enodes) 96.183 * * [simplify]: iters left: 2 (93 enodes) 96.210 * * [simplify]: iters left: 1 (170 enodes) 96.255 * * [simplify]: Extracting #0: cost 1 inf + 0 96.255 * * [simplify]: Extracting #1: cost 13 inf + 0 96.255 * * [simplify]: Extracting #2: cost 59 inf + 1 96.255 * * [simplify]: Extracting #3: cost 78 inf + 176 96.257 * * [simplify]: Extracting #4: cost 40 inf + 3875 96.262 * * [simplify]: Extracting #5: cost 7 inf + 16988 96.265 * * [simplify]: Extracting #6: cost 0 inf + 20577 96.268 * * [simplify]: Extracting #7: cost 0 inf + 20336 96.270 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 96.270 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))))) (sqrt k))) 96.271 * * * * [progress]: [ 11 / 303 ] simplifiying candidate # 96.271 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 96.271 * * [simplify]: iters left: 6 (7 enodes) 96.274 * * [simplify]: iters left: 5 (32 enodes) 96.280 * * [simplify]: iters left: 4 (47 enodes) 96.288 * * [simplify]: iters left: 3 (53 enodes) 96.303 * * [simplify]: iters left: 2 (60 enodes) 96.323 * * [simplify]: Extracting #0: cost 1 inf + 0 96.323 * * [simplify]: Extracting #1: cost 3 inf + 0 96.323 * * [simplify]: Extracting #2: cost 11 inf + 0 96.323 * * [simplify]: Extracting #3: cost 17 inf + 3 96.323 * * [simplify]: Extracting #4: cost 14 inf + 129 96.324 * * [simplify]: Extracting #5: cost 3 inf + 794 96.324 * * [simplify]: Extracting #6: cost 0 inf + 1162 96.325 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 96.325 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))))) (sqrt k))) 96.325 * * * * [progress]: [ 12 / 303 ] simplifiying candidate # 96.326 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 96.326 * * [simplify]: iters left: 6 (7 enodes) 96.331 * * [simplify]: iters left: 5 (32 enodes) 96.343 * * [simplify]: iters left: 4 (47 enodes) 96.358 * * [simplify]: iters left: 3 (53 enodes) 96.374 * * [simplify]: iters left: 2 (60 enodes) 96.391 * * [simplify]: Extracting #0: cost 1 inf + 0 96.391 * * [simplify]: Extracting #1: cost 3 inf + 0 96.391 * * [simplify]: Extracting #2: cost 11 inf + 0 96.392 * * [simplify]: Extracting #3: cost 17 inf + 3 96.392 * * [simplify]: Extracting #4: cost 14 inf + 129 96.392 * * [simplify]: Extracting #5: cost 3 inf + 794 96.393 * * [simplify]: Extracting #6: cost 0 inf + 1082 96.393 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 96.393 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))))) (sqrt k))) 96.393 * * * * [progress]: [ 13 / 303 ] simplifiying candidate # 96.394 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 96.394 * * [simplify]: iters left: 6 (8 enodes) 96.399 * * [simplify]: iters left: 5 (32 enodes) 96.411 * * [simplify]: iters left: 4 (41 enodes) 96.424 * * [simplify]: Extracting #0: cost 1 inf + 0 96.424 * * [simplify]: Extracting #1: cost 4 inf + 0 96.424 * * [simplify]: Extracting #2: cost 8 inf + 0 96.424 * * [simplify]: Extracting #3: cost 9 inf + 163 96.424 * * [simplify]: Extracting #4: cost 13 inf + 164 96.424 * * [simplify]: Extracting #5: cost 10 inf + 249 96.425 * * [simplify]: Extracting #6: cost 3 inf + 986 96.425 * * [simplify]: Extracting #7: cost 0 inf + 1474 96.426 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 96.426 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))) (sqrt k))) 96.426 * * * * [progress]: [ 14 / 303 ] simplifiying candidate # 96.427 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 96.427 * * [simplify]: iters left: 6 (8 enodes) 96.432 * * [simplify]: iters left: 5 (32 enodes) 96.443 * * [simplify]: iters left: 4 (41 enodes) 96.455 * * [simplify]: Extracting #0: cost 1 inf + 0 96.455 * * [simplify]: Extracting #1: cost 4 inf + 0 96.455 * * [simplify]: Extracting #2: cost 8 inf + 0 96.456 * * [simplify]: Extracting #3: cost 9 inf + 83 96.456 * * [simplify]: Extracting #4: cost 13 inf + 84 96.456 * * [simplify]: Extracting #5: cost 10 inf + 169 96.456 * * [simplify]: Extracting #6: cost 3 inf + 866 96.457 * * [simplify]: Extracting #7: cost 0 inf + 1314 96.457 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 96.457 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))))) (sqrt k))) 96.458 * * * * [progress]: [ 15 / 303 ] simplifiying candidate # 96.458 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 96.458 * * [simplify]: iters left: 6 (7 enodes) 96.462 * * [simplify]: iters left: 5 (29 enodes) 96.474 * * [simplify]: iters left: 4 (38 enodes) 96.485 * * [simplify]: Extracting #0: cost 1 inf + 0 96.485 * * [simplify]: Extracting #1: cost 4 inf + 0 96.485 * * [simplify]: Extracting #2: cost 5 inf + 1 96.485 * * [simplify]: Extracting #3: cost 9 inf + 1 96.485 * * [simplify]: Extracting #4: cost 13 inf + 2 96.486 * * [simplify]: Extracting #5: cost 12 inf + 4 96.486 * * [simplify]: Extracting #6: cost 2 inf + 746 96.486 * * [simplify]: Extracting #7: cost 0 inf + 1152 96.487 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 96.487 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)))) (sqrt k))) 96.487 * * * * [progress]: [ 16 / 303 ] simplifiying candidate # 96.487 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 96.487 * * [simplify]: iters left: 6 (8 enodes) 96.493 * * [simplify]: iters left: 5 (32 enodes) 96.504 * * [simplify]: iters left: 4 (41 enodes) 96.516 * * [simplify]: Extracting #0: cost 1 inf + 0 96.517 * * [simplify]: Extracting #1: cost 4 inf + 0 96.517 * * [simplify]: Extracting #2: cost 8 inf + 0 96.517 * * [simplify]: Extracting #3: cost 9 inf + 163 96.517 * * [simplify]: Extracting #4: cost 13 inf + 164 96.517 * * [simplify]: Extracting #5: cost 10 inf + 249 96.517 * * [simplify]: Extracting #6: cost 3 inf + 906 96.518 * * [simplify]: Extracting #7: cost 0 inf + 1314 96.518 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 96.519 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))))) (sqrt k))) 96.519 * * * * [progress]: [ 17 / 303 ] simplifiying candidate # 96.519 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 96.519 * * [simplify]: iters left: 6 (8 enodes) 96.524 * * [simplify]: iters left: 5 (32 enodes) 96.535 * * [simplify]: iters left: 4 (41 enodes) 96.547 * * [simplify]: Extracting #0: cost 1 inf + 0 96.547 * * [simplify]: Extracting #1: cost 4 inf + 0 96.547 * * [simplify]: Extracting #2: cost 8 inf + 0 96.547 * * [simplify]: Extracting #3: cost 9 inf + 83 96.547 * * [simplify]: Extracting #4: cost 13 inf + 84 96.547 * * [simplify]: Extracting #5: cost 10 inf + 169 96.548 * * [simplify]: Extracting #6: cost 3 inf + 786 96.548 * * [simplify]: Extracting #7: cost 0 inf + 1154 96.549 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 96.549 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))))) (sqrt k))) 96.549 * * * * [progress]: [ 18 / 303 ] simplifiying candidate # 96.549 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 96.549 * * [simplify]: iters left: 6 (7 enodes) 96.554 * * [simplify]: iters left: 5 (29 enodes) 96.563 * * [simplify]: iters left: 4 (38 enodes) 96.574 * * [simplify]: Extracting #0: cost 1 inf + 0 96.574 * * [simplify]: Extracting #1: cost 4 inf + 0 96.574 * * [simplify]: Extracting #2: cost 5 inf + 1 96.574 * * [simplify]: Extracting #3: cost 9 inf + 1 96.574 * * [simplify]: Extracting #4: cost 13 inf + 2 96.575 * * [simplify]: Extracting #5: cost 12 inf + 4 96.575 * * [simplify]: Extracting #6: cost 2 inf + 666 96.575 * * [simplify]: Extracting #7: cost 0 inf + 992 96.576 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 96.576 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)))) (sqrt k))) 96.576 * * * * [progress]: [ 19 / 303 ] simplifiying candidate # 96.576 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 96.576 * * [simplify]: iters left: 6 (8 enodes) 96.581 * * [simplify]: iters left: 5 (30 enodes) 96.591 * * [simplify]: iters left: 4 (37 enodes) 96.602 * * [simplify]: Extracting #0: cost 1 inf + 0 96.602 * * [simplify]: Extracting #1: cost 6 inf + 0 96.603 * * [simplify]: Extracting #2: cost 12 inf + 0 96.603 * * [simplify]: Extracting #3: cost 11 inf + 405 96.603 * * [simplify]: Extracting #4: cost 10 inf + 407 96.603 * * [simplify]: Extracting #5: cost 4 inf + 1220 96.604 * * [simplify]: Extracting #6: cost 0 inf + 1869 96.604 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 96.604 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))) 96.604 * * * * [progress]: [ 20 / 303 ] simplifiying candidate # 96.605 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 96.605 * * [simplify]: iters left: 6 (9 enodes) 96.610 * * [simplify]: iters left: 5 (33 enodes) 96.618 * * [simplify]: iters left: 4 (43 enodes) 96.627 * * [simplify]: iters left: 3 (45 enodes) 96.634 * * [simplify]: Extracting #0: cost 1 inf + 0 96.634 * * [simplify]: Extracting #1: cost 8 inf + 0 96.634 * * [simplify]: Extracting #2: cost 16 inf + 0 96.634 * * [simplify]: Extracting #3: cost 16 inf + 284 96.634 * * [simplify]: Extracting #4: cost 11 inf + 610 96.634 * * [simplify]: Extracting #5: cost 8 inf + 815 96.635 * * [simplify]: Extracting #6: cost 0 inf + 2517 96.635 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 96.636 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))))) (sqrt k))) 96.636 * * * * [progress]: [ 21 / 303 ] simplifiying candidate # 96.636 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 96.636 * * [simplify]: iters left: 6 (8 enodes) 96.641 * * [simplify]: iters left: 5 (30 enodes) 96.651 * * [simplify]: iters left: 4 (40 enodes) 96.663 * * [simplify]: iters left: 3 (42 enodes) 96.675 * * [simplify]: Extracting #0: cost 1 inf + 0 96.675 * * [simplify]: Extracting #1: cost 8 inf + 0 96.675 * * [simplify]: Extracting #2: cost 12 inf + 82 96.676 * * [simplify]: Extracting #3: cost 13 inf + 405 96.676 * * [simplify]: Extracting #4: cost 12 inf + 407 96.676 * * [simplify]: Extracting #5: cost 5 inf + 1383 96.677 * * [simplify]: Extracting #6: cost 0 inf + 2195 96.677 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 96.677 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))))) (sqrt k))) 96.678 * * * * [progress]: [ 22 / 303 ] simplifiying candidate # 96.678 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 96.678 * * [simplify]: iters left: 6 (9 enodes) 96.683 * * [simplify]: iters left: 5 (33 enodes) 96.695 * * [simplify]: iters left: 4 (43 enodes) 96.709 * * [simplify]: iters left: 3 (45 enodes) 96.717 * * [simplify]: Extracting #0: cost 1 inf + 0 96.717 * * [simplify]: Extracting #1: cost 8 inf + 0 96.717 * * [simplify]: Extracting #2: cost 16 inf + 0 96.717 * * [simplify]: Extracting #3: cost 16 inf + 284 96.717 * * [simplify]: Extracting #4: cost 11 inf + 610 96.717 * * [simplify]: Extracting #5: cost 8 inf + 815 96.718 * * [simplify]: Extracting #6: cost 0 inf + 2517 96.718 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 96.718 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))))) (sqrt k))) 96.718 * * * * [progress]: [ 23 / 303 ] simplifiying candidate # 96.718 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 96.719 * * [simplify]: iters left: 6 (8 enodes) 96.722 * * [simplify]: iters left: 5 (30 enodes) 96.727 * * [simplify]: iters left: 4 (35 enodes) 96.733 * * [simplify]: Extracting #0: cost 1 inf + 0 96.733 * * [simplify]: Extracting #1: cost 6 inf + 0 96.733 * * [simplify]: Extracting #2: cost 8 inf + 42 96.733 * * [simplify]: Extracting #3: cost 11 inf + 83 96.733 * * [simplify]: Extracting #4: cost 10 inf + 85 96.733 * * [simplify]: Extracting #5: cost 4 inf + 658 96.734 * * [simplify]: Extracting #6: cost 0 inf + 1227 96.734 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 96.734 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)))) (sqrt k))) 96.734 * * * * [progress]: [ 24 / 303 ] simplifiying candidate # 96.734 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 96.734 * * [simplify]: iters left: 6 (8 enodes) 96.737 * * [simplify]: iters left: 5 (30 enodes) 96.742 * * [simplify]: iters left: 4 (40 enodes) 96.750 * * [simplify]: iters left: 3 (42 enodes) 96.757 * * [simplify]: Extracting #0: cost 1 inf + 0 96.757 * * [simplify]: Extracting #1: cost 8 inf + 0 96.757 * * [simplify]: Extracting #2: cost 12 inf + 42 96.758 * * [simplify]: Extracting #3: cost 13 inf + 245 96.758 * * [simplify]: Extracting #4: cost 12 inf + 247 96.758 * * [simplify]: Extracting #5: cost 5 inf + 1143 96.758 * * [simplify]: Extracting #6: cost 0 inf + 1875 96.758 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 96.758 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))))) (sqrt k))) 96.759 * * * * [progress]: [ 25 / 303 ] simplifiying candidate # 96.759 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 96.759 * * [simplify]: iters left: 6 (8 enodes) 96.762 * * [simplify]: iters left: 5 (30 enodes) 96.767 * * [simplify]: iters left: 4 (40 enodes) 96.776 * * [simplify]: iters left: 3 (42 enodes) 96.783 * * [simplify]: Extracting #0: cost 1 inf + 0 96.783 * * [simplify]: Extracting #1: cost 8 inf + 0 96.783 * * [simplify]: Extracting #2: cost 11 inf + 203 96.783 * * [simplify]: Extracting #3: cost 13 inf + 405 96.783 * * [simplify]: Extracting #4: cost 12 inf + 407 96.783 * * [simplify]: Extracting #5: cost 3 inf + 1789 96.784 * * [simplify]: Extracting #6: cost 0 inf + 2195 96.784 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 96.784 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))))) (sqrt k))) 96.784 * * * * [progress]: [ 26 / 303 ] simplifiying candidate # 96.784 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 96.784 * * [simplify]: iters left: 6 (8 enodes) 96.787 * * [simplify]: iters left: 5 (30 enodes) 96.792 * * [simplify]: iters left: 4 (40 enodes) 96.798 * * [simplify]: iters left: 3 (42 enodes) 96.805 * * [simplify]: Extracting #0: cost 1 inf + 0 96.805 * * [simplify]: Extracting #1: cost 8 inf + 0 96.805 * * [simplify]: Extracting #2: cost 11 inf + 123 96.805 * * [simplify]: Extracting #3: cost 13 inf + 245 96.805 * * [simplify]: Extracting #4: cost 12 inf + 247 96.805 * * [simplify]: Extracting #5: cost 3 inf + 1509 96.806 * * [simplify]: Extracting #6: cost 0 inf + 1875 96.806 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 96.806 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))))) (sqrt k))) 96.806 * * * * [progress]: [ 27 / 303 ] simplifiying candidate # 96.807 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 96.807 * * [simplify]: iters left: 6 (7 enodes) 96.811 * * [simplify]: iters left: 5 (28 enodes) 96.820 * * [simplify]: iters left: 4 (35 enodes) 96.830 * * [simplify]: Extracting #0: cost 1 inf + 0 96.831 * * [simplify]: Extracting #1: cost 6 inf + 0 96.831 * * [simplify]: Extracting #2: cost 7 inf + 2 96.831 * * [simplify]: Extracting #3: cost 11 inf + 2 96.831 * * [simplify]: Extracting #4: cost 9 inf + 45 96.831 * * [simplify]: Extracting #5: cost 4 inf + 455 96.831 * * [simplify]: Extracting #6: cost 0 inf + 1066 96.832 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 96.832 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)))) (sqrt k))) 96.832 * * * * [progress]: [ 28 / 303 ] simplifiying candidate # 96.833 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 96.833 * * [simplify]: iters left: 6 (8 enodes) 96.837 * * [simplify]: iters left: 5 (30 enodes) 96.844 * * [simplify]: iters left: 4 (37 enodes) 96.857 * * [simplify]: Extracting #0: cost 1 inf + 0 96.857 * * [simplify]: Extracting #1: cost 6 inf + 0 96.857 * * [simplify]: Extracting #2: cost 12 inf + 0 96.857 * * [simplify]: Extracting #3: cost 11 inf + 405 96.858 * * [simplify]: Extracting #4: cost 10 inf + 407 96.858 * * [simplify]: Extracting #5: cost 4 inf + 1100 96.858 * * [simplify]: Extracting #6: cost 0 inf + 1629 96.859 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 96.859 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))) 96.859 * * * * [progress]: [ 29 / 303 ] simplifiying candidate # 96.859 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 96.860 * * [simplify]: iters left: 6 (9 enodes) 96.864 * * [simplify]: iters left: 5 (33 enodes) 96.870 * * [simplify]: iters left: 4 (43 enodes) 96.877 * * [simplify]: iters left: 3 (45 enodes) 96.884 * * [simplify]: Extracting #0: cost 1 inf + 0 96.884 * * [simplify]: Extracting #1: cost 8 inf + 0 96.884 * * [simplify]: Extracting #2: cost 16 inf + 0 96.884 * * [simplify]: Extracting #3: cost 16 inf + 284 96.885 * * [simplify]: Extracting #4: cost 11 inf + 610 96.885 * * [simplify]: Extracting #5: cost 8 inf + 775 96.885 * * [simplify]: Extracting #6: cost 0 inf + 2197 96.885 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 96.885 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))))) (sqrt k))) 96.886 * * * * [progress]: [ 30 / 303 ] simplifiying candidate # 96.886 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 96.886 * * [simplify]: iters left: 6 (8 enodes) 96.888 * * [simplify]: iters left: 5 (30 enodes) 96.893 * * [simplify]: iters left: 4 (40 enodes) 96.905 * * [simplify]: iters left: 3 (42 enodes) 96.917 * * [simplify]: Extracting #0: cost 1 inf + 0 96.918 * * [simplify]: Extracting #1: cost 8 inf + 0 96.918 * * [simplify]: Extracting #2: cost 12 inf + 82 96.918 * * [simplify]: Extracting #3: cost 13 inf + 405 96.918 * * [simplify]: Extracting #4: cost 12 inf + 407 96.918 * * [simplify]: Extracting #5: cost 5 inf + 1223 96.919 * * [simplify]: Extracting #6: cost 0 inf + 1875 96.919 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 96.919 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))))) (sqrt k))) 96.920 * * * * [progress]: [ 31 / 303 ] simplifiying candidate # 96.920 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 96.920 * * [simplify]: iters left: 6 (9 enodes) 96.926 * * [simplify]: iters left: 5 (33 enodes) 96.937 * * [simplify]: iters left: 4 (43 enodes) 96.950 * * [simplify]: iters left: 3 (45 enodes) 96.963 * * [simplify]: Extracting #0: cost 1 inf + 0 96.963 * * [simplify]: Extracting #1: cost 8 inf + 0 96.963 * * [simplify]: Extracting #2: cost 16 inf + 0 96.963 * * [simplify]: Extracting #3: cost 16 inf + 284 96.964 * * [simplify]: Extracting #4: cost 11 inf + 610 96.964 * * [simplify]: Extracting #5: cost 8 inf + 775 96.964 * * [simplify]: Extracting #6: cost 0 inf + 2197 96.965 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 96.965 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))))) (sqrt k))) 96.965 * * * * [progress]: [ 32 / 303 ] simplifiying candidate # 96.966 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 96.966 * * [simplify]: iters left: 6 (8 enodes) 96.971 * * [simplify]: iters left: 5 (30 enodes) 96.984 * * [simplify]: iters left: 4 (35 enodes) 96.995 * * [simplify]: Extracting #0: cost 1 inf + 0 96.995 * * [simplify]: Extracting #1: cost 6 inf + 0 96.995 * * [simplify]: Extracting #2: cost 8 inf + 42 96.995 * * [simplify]: Extracting #3: cost 11 inf + 83 96.995 * * [simplify]: Extracting #4: cost 10 inf + 85 96.996 * * [simplify]: Extracting #5: cost 4 inf + 538 96.996 * * [simplify]: Extracting #6: cost 0 inf + 987 96.996 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 96.996 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)))) (sqrt k))) 96.997 * * * * [progress]: [ 33 / 303 ] simplifiying candidate # 96.997 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 96.997 * * [simplify]: iters left: 6 (8 enodes) 97.003 * * [simplify]: iters left: 5 (30 enodes) 97.013 * * [simplify]: iters left: 4 (40 enodes) 97.026 * * [simplify]: iters left: 3 (42 enodes) 97.039 * * [simplify]: Extracting #0: cost 1 inf + 0 97.039 * * [simplify]: Extracting #1: cost 8 inf + 0 97.039 * * [simplify]: Extracting #2: cost 12 inf + 42 97.039 * * [simplify]: Extracting #3: cost 13 inf + 245 97.040 * * [simplify]: Extracting #4: cost 12 inf + 247 97.040 * * [simplify]: Extracting #5: cost 5 inf + 983 97.040 * * [simplify]: Extracting #6: cost 0 inf + 1555 97.041 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 97.041 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))))) (sqrt k))) 97.041 * * * * [progress]: [ 34 / 303 ] simplifiying candidate # 97.042 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 97.042 * * [simplify]: iters left: 6 (8 enodes) 97.046 * * [simplify]: iters left: 5 (30 enodes) 97.057 * * [simplify]: iters left: 4 (40 enodes) 97.069 * * [simplify]: iters left: 3 (42 enodes) 97.076 * * [simplify]: Extracting #0: cost 1 inf + 0 97.076 * * [simplify]: Extracting #1: cost 8 inf + 0 97.076 * * [simplify]: Extracting #2: cost 11 inf + 203 97.076 * * [simplify]: Extracting #3: cost 13 inf + 405 97.077 * * [simplify]: Extracting #4: cost 12 inf + 407 97.077 * * [simplify]: Extracting #5: cost 3 inf + 1549 97.077 * * [simplify]: Extracting #6: cost 0 inf + 1875 97.077 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 97.077 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))))) (sqrt k))) 97.078 * * * * [progress]: [ 35 / 303 ] simplifiying candidate # 97.078 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 97.078 * * [simplify]: iters left: 6 (8 enodes) 97.081 * * [simplify]: iters left: 5 (30 enodes) 97.086 * * [simplify]: iters left: 4 (40 enodes) 97.092 * * [simplify]: iters left: 3 (42 enodes) 97.099 * * [simplify]: Extracting #0: cost 1 inf + 0 97.099 * * [simplify]: Extracting #1: cost 8 inf + 0 97.099 * * [simplify]: Extracting #2: cost 11 inf + 123 97.099 * * [simplify]: Extracting #3: cost 13 inf + 245 97.099 * * [simplify]: Extracting #4: cost 12 inf + 247 97.099 * * [simplify]: Extracting #5: cost 3 inf + 1269 97.100 * * [simplify]: Extracting #6: cost 0 inf + 1555 97.100 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 97.100 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))))) (sqrt k))) 97.100 * * * * [progress]: [ 36 / 303 ] simplifiying candidate # 97.100 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 97.100 * * [simplify]: iters left: 6 (7 enodes) 97.103 * * [simplify]: iters left: 5 (28 enodes) 97.114 * * [simplify]: iters left: 4 (35 enodes) 97.121 * * [simplify]: Extracting #0: cost 1 inf + 0 97.121 * * [simplify]: Extracting #1: cost 6 inf + 0 97.121 * * [simplify]: Extracting #2: cost 7 inf + 2 97.122 * * [simplify]: Extracting #3: cost 11 inf + 2 97.122 * * [simplify]: Extracting #4: cost 9 inf + 45 97.122 * * [simplify]: Extracting #5: cost 4 inf + 375 97.122 * * [simplify]: Extracting #6: cost 0 inf + 826 97.122 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 97.122 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)))) (sqrt k))) 97.123 * * * * [progress]: [ 37 / 303 ] simplifiying candidate # 97.123 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 97.123 * * [simplify]: iters left: 6 (7 enodes) 97.125 * * [simplify]: iters left: 5 (30 enodes) 97.131 * * [simplify]: iters left: 4 (49 enodes) 97.142 * * [simplify]: iters left: 3 (59 enodes) 97.160 * * [simplify]: iters left: 2 (64 enodes) 97.178 * * [simplify]: Extracting #0: cost 1 inf + 0 97.178 * * [simplify]: Extracting #1: cost 9 inf + 0 97.178 * * [simplify]: Extracting #2: cost 23 inf + 0 97.178 * * [simplify]: Extracting #3: cost 24 inf + 3 97.178 * * [simplify]: Extracting #4: cost 15 inf + 980 97.179 * * [simplify]: Extracting #5: cost 1 inf + 3007 97.180 * * [simplify]: Extracting #6: cost 0 inf + 3169 97.181 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 97.181 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))) 97.182 * * * * [progress]: [ 38 / 303 ] simplifiying candidate # 97.182 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 97.182 * * [simplify]: iters left: 6 (8 enodes) 97.187 * * [simplify]: iters left: 5 (33 enodes) 97.199 * * [simplify]: iters left: 4 (55 enodes) 97.210 * * [simplify]: iters left: 3 (72 enodes) 97.221 * * [simplify]: iters left: 2 (84 enodes) 97.235 * * [simplify]: iters left: 1 (88 enodes) 97.247 * * [simplify]: Extracting #0: cost 1 inf + 0 97.247 * * [simplify]: Extracting #1: cost 11 inf + 0 97.247 * * [simplify]: Extracting #2: cost 30 inf + 0 97.247 * * [simplify]: Extracting #3: cost 33 inf + 84 97.247 * * [simplify]: Extracting #4: cost 12 inf + 2402 97.248 * * [simplify]: Extracting #5: cost 0 inf + 4469 97.249 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 97.249 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))) (sqrt k))) 97.249 * * * * [progress]: [ 39 / 303 ] simplifiying candidate # 97.249 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 97.249 * * [simplify]: iters left: 6 (7 enodes) 97.252 * * [simplify]: iters left: 5 (30 enodes) 97.260 * * [simplify]: iters left: 4 (52 enodes) 97.272 * * [simplify]: iters left: 3 (70 enodes) 97.283 * * [simplify]: iters left: 2 (81 enodes) 97.294 * * [simplify]: iters left: 1 (84 enodes) 97.316 * * [simplify]: Extracting #0: cost 1 inf + 0 97.316 * * [simplify]: Extracting #1: cost 11 inf + 0 97.316 * * [simplify]: Extracting #2: cost 25 inf + 203 97.317 * * [simplify]: Extracting #3: cost 25 inf + 530 97.317 * * [simplify]: Extracting #4: cost 4 inf + 2936 97.319 * * [simplify]: Extracting #5: cost 0 inf + 3504 97.320 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 97.320 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))))) (sqrt k))) 97.320 * * * * [progress]: [ 40 / 303 ] simplifiying candidate # 97.321 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 97.321 * * [simplify]: iters left: 6 (8 enodes) 97.326 * * [simplify]: iters left: 5 (33 enodes) 97.341 * * [simplify]: iters left: 4 (55 enodes) 97.358 * * [simplify]: iters left: 3 (72 enodes) 97.373 * * [simplify]: iters left: 2 (84 enodes) 97.385 * * [simplify]: iters left: 1 (88 enodes) 97.398 * * [simplify]: Extracting #0: cost 1 inf + 0 97.398 * * [simplify]: Extracting #1: cost 11 inf + 0 97.398 * * [simplify]: Extracting #2: cost 30 inf + 0 97.398 * * [simplify]: Extracting #3: cost 33 inf + 44 97.398 * * [simplify]: Extracting #4: cost 12 inf + 2362 97.400 * * [simplify]: Extracting #5: cost 0 inf + 4469 97.401 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 97.401 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))) (sqrt k))) 97.402 * * * * [progress]: [ 41 / 303 ] simplifiying candidate # 97.402 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 97.402 * * [simplify]: iters left: 6 (7 enodes) 97.407 * * [simplify]: iters left: 5 (30 enodes) 97.417 * * [simplify]: iters left: 4 (48 enodes) 97.428 * * [simplify]: iters left: 3 (56 enodes) 97.436 * * [simplify]: Extracting #0: cost 1 inf + 0 97.436 * * [simplify]: Extracting #1: cost 8 inf + 0 97.436 * * [simplify]: Extracting #2: cost 15 inf + 43 97.436 * * [simplify]: Extracting #3: cost 16 inf + 86 97.436 * * [simplify]: Extracting #4: cost 5 inf + 911 97.436 * * [simplify]: Extracting #5: cost 1 inf + 1198 97.437 * * [simplify]: Extracting #6: cost 0 inf + 1320 97.437 * [simplify]: Simplified to (/ (- 1 k) 2) 97.437 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)))) (sqrt k))) 97.437 * * * * [progress]: [ 42 / 303 ] simplifiying candidate # 97.437 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 97.437 * * [simplify]: iters left: 6 (7 enodes) 97.440 * * [simplify]: iters left: 5 (30 enodes) 97.447 * * [simplify]: iters left: 4 (52 enodes) 97.456 * * [simplify]: iters left: 3 (70 enodes) 97.466 * * [simplify]: iters left: 2 (81 enodes) 97.478 * * [simplify]: iters left: 1 (84 enodes) 97.490 * * [simplify]: Extracting #0: cost 1 inf + 0 97.490 * * [simplify]: Extracting #1: cost 11 inf + 0 97.490 * * [simplify]: Extracting #2: cost 25 inf + 123 97.490 * * [simplify]: Extracting #3: cost 25 inf + 330 97.491 * * [simplify]: Extracting #4: cost 4 inf + 2256 97.492 * * [simplify]: Extracting #5: cost 0 inf + 2704 97.494 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 97.494 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))))) (sqrt k))) 97.494 * * * * [progress]: [ 43 / 303 ] simplifiying candidate # 97.494 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 97.495 * * [simplify]: iters left: 6 (7 enodes) 97.499 * * [simplify]: iters left: 5 (31 enodes) 97.509 * * [simplify]: iters left: 4 (51 enodes) 97.517 * * [simplify]: iters left: 3 (64 enodes) 97.527 * * [simplify]: iters left: 2 (77 enodes) 97.541 * * [simplify]: iters left: 1 (84 enodes) 97.564 * * [simplify]: Extracting #0: cost 1 inf + 0 97.564 * * [simplify]: Extracting #1: cost 11 inf + 0 97.564 * * [simplify]: Extracting #2: cost 26 inf + 82 97.565 * * [simplify]: Extracting #3: cost 24 inf + 692 97.566 * * [simplify]: Extracting #4: cost 3 inf + 3057 97.567 * * [simplify]: Extracting #5: cost 0 inf + 3504 97.568 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 97.568 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))))) (sqrt k))) 97.568 * * * * [progress]: [ 44 / 303 ] simplifiying candidate # 97.569 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 97.569 * * [simplify]: iters left: 6 (7 enodes) 97.574 * * [simplify]: iters left: 5 (31 enodes) 97.585 * * [simplify]: iters left: 4 (51 enodes) 97.601 * * [simplify]: iters left: 3 (64 enodes) 97.617 * * [simplify]: iters left: 2 (77 enodes) 97.629 * * [simplify]: iters left: 1 (84 enodes) 97.640 * * [simplify]: Extracting #0: cost 1 inf + 0 97.641 * * [simplify]: Extracting #1: cost 11 inf + 0 97.641 * * [simplify]: Extracting #2: cost 26 inf + 42 97.641 * * [simplify]: Extracting #3: cost 24 inf + 452 97.641 * * [simplify]: Extracting #4: cost 3 inf + 2337 97.642 * * [simplify]: Extracting #5: cost 0 inf + 2704 97.642 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 97.642 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))))) (sqrt k))) 97.643 * * * * [progress]: [ 45 / 303 ] simplifiying candidate # 97.643 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 97.643 * * [simplify]: iters left: 6 (6 enodes) 97.645 * * [simplify]: iters left: 5 (29 enodes) 97.658 * * [simplify]: iters left: 4 (44 enodes) 97.671 * * [simplify]: iters left: 3 (50 enodes) 97.686 * * [simplify]: iters left: 2 (57 enodes) 97.702 * * [simplify]: Extracting #0: cost 1 inf + 0 97.702 * * [simplify]: Extracting #1: cost 9 inf + 0 97.702 * * [simplify]: Extracting #2: cost 15 inf + 3 97.703 * * [simplify]: Extracting #3: cost 11 inf + 131 97.703 * * [simplify]: Extracting #4: cost 2 inf + 711 97.703 * * [simplify]: Extracting #5: cost 0 inf + 836 97.704 * [simplify]: Simplified to (- 1/4 (/ k 4)) 97.704 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))))) (sqrt k))) 97.704 * * * * [progress]: [ 46 / 303 ] simplifiying candidate # 97.705 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 97.705 * * [simplify]: iters left: 6 (9 enodes) 97.710 * * [simplify]: iters left: 5 (36 enodes) 97.722 * * [simplify]: iters left: 4 (58 enodes) 97.740 * * [simplify]: iters left: 3 (71 enodes) 97.760 * * [simplify]: iters left: 2 (79 enodes) 97.782 * * [simplify]: iters left: 1 (80 enodes) 97.803 * * [simplify]: Extracting #0: cost 1 inf + 0 97.803 * * [simplify]: Extracting #1: cost 9 inf + 0 97.803 * * [simplify]: Extracting #2: cost 24 inf + 0 97.803 * * [simplify]: Extracting #3: cost 29 inf + 2 97.804 * * [simplify]: Extracting #4: cost 10 inf + 2233 97.805 * * [simplify]: Extracting #5: cost 1 inf + 4013 97.806 * * [simplify]: Extracting #6: cost 0 inf + 4135 97.810 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 97.810 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))) 97.811 * * * * [progress]: [ 47 / 303 ] simplifiying candidate # 97.811 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 97.811 * * [simplify]: iters left: 6 (10 enodes) 97.818 * * [simplify]: iters left: 5 (39 enodes) 97.829 * * [simplify]: iters left: 4 (64 enodes) 97.840 * * [simplify]: iters left: 3 (86 enodes) 97.853 * * [simplify]: iters left: 2 (99 enodes) 97.866 * * [simplify]: iters left: 1 (104 enodes) 97.889 * * [simplify]: Extracting #0: cost 1 inf + 0 97.889 * * [simplify]: Extracting #1: cost 11 inf + 0 97.889 * * [simplify]: Extracting #2: cost 31 inf + 0 97.889 * * [simplify]: Extracting #3: cost 39 inf + 2 97.890 * * [simplify]: Extracting #4: cost 22 inf + 1871 97.891 * * [simplify]: Extracting #5: cost 4 inf + 4865 97.893 * * [simplify]: Extracting #6: cost 0 inf + 5675 97.895 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 97.895 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))))) (sqrt k))) 97.895 * * * * [progress]: [ 48 / 303 ] simplifiying candidate # 97.896 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 97.896 * * [simplify]: iters left: 6 (9 enodes) 97.902 * * [simplify]: iters left: 5 (36 enodes) 97.914 * * [simplify]: iters left: 4 (61 enodes) 97.935 * * [simplify]: iters left: 3 (84 enodes) 97.959 * * [simplify]: iters left: 2 (96 enodes) 97.984 * * [simplify]: iters left: 1 (100 enodes) 98.010 * * [simplify]: Extracting #0: cost 1 inf + 0 98.010 * * [simplify]: Extracting #1: cost 11 inf + 0 98.010 * * [simplify]: Extracting #2: cost 27 inf + 82 98.010 * * [simplify]: Extracting #3: cost 29 inf + 651 98.010 * * [simplify]: Extracting #4: cost 12 inf + 2763 98.011 * * [simplify]: Extracting #5: cost 1 inf + 4587 98.012 * * [simplify]: Extracting #6: cost 0 inf + 4710 98.013 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 98.013 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))))) (sqrt k))) 98.013 * * * * [progress]: [ 49 / 303 ] simplifiying candidate # 98.013 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 98.013 * * [simplify]: iters left: 6 (10 enodes) 98.017 * * [simplify]: iters left: 5 (39 enodes) 98.024 * * [simplify]: iters left: 4 (64 enodes) 98.034 * * [simplify]: iters left: 3 (86 enodes) 98.053 * * [simplify]: iters left: 2 (99 enodes) 98.077 * * [simplify]: iters left: 1 (104 enodes) 98.091 * * [simplify]: Extracting #0: cost 1 inf + 0 98.092 * * [simplify]: Extracting #1: cost 11 inf + 0 98.092 * * [simplify]: Extracting #2: cost 31 inf + 0 98.092 * * [simplify]: Extracting #3: cost 39 inf + 2 98.092 * * [simplify]: Extracting #4: cost 22 inf + 1831 98.093 * * [simplify]: Extracting #5: cost 4 inf + 4785 98.094 * * [simplify]: Extracting #6: cost 0 inf + 5595 98.095 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 98.095 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))))) (sqrt k))) 98.095 * * * * [progress]: [ 50 / 303 ] simplifiying candidate # 98.095 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 98.095 * * [simplify]: iters left: 6 (9 enodes) 98.098 * * [simplify]: iters left: 5 (36 enodes) 98.105 * * [simplify]: iters left: 4 (57 enodes) 98.118 * * [simplify]: iters left: 3 (73 enodes) 98.137 * * [simplify]: iters left: 2 (80 enodes) 98.158 * * [simplify]: iters left: 1 (81 enodes) 98.180 * * [simplify]: Extracting #0: cost 1 inf + 0 98.180 * * [simplify]: Extracting #1: cost 9 inf + 0 98.180 * * [simplify]: Extracting #2: cost 18 inf + 43 98.180 * * [simplify]: Extracting #3: cost 23 inf + 85 98.181 * * [simplify]: Extracting #4: cost 9 inf + 1271 98.182 * * [simplify]: Extracting #5: cost 0 inf + 2370 98.183 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 98.183 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)))) (sqrt k))) 98.183 * * * * [progress]: [ 51 / 303 ] simplifiying candidate # 98.183 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 98.183 * * [simplify]: iters left: 6 (9 enodes) 98.189 * * [simplify]: iters left: 5 (36 enodes) 98.201 * * [simplify]: iters left: 4 (61 enodes) 98.220 * * [simplify]: iters left: 3 (84 enodes) 98.244 * * [simplify]: iters left: 2 (96 enodes) 98.270 * * [simplify]: iters left: 1 (100 enodes) 98.287 * * [simplify]: Extracting #0: cost 1 inf + 0 98.288 * * [simplify]: Extracting #1: cost 11 inf + 0 98.288 * * [simplify]: Extracting #2: cost 27 inf + 42 98.288 * * [simplify]: Extracting #3: cost 29 inf + 411 98.288 * * [simplify]: Extracting #4: cost 12 inf + 2163 98.289 * * [simplify]: Extracting #5: cost 1 inf + 3707 98.290 * * [simplify]: Extracting #6: cost 0 inf + 3830 98.290 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 98.290 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))))) (sqrt k))) 98.291 * * * * [progress]: [ 52 / 303 ] simplifiying candidate # 98.291 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 98.291 * * [simplify]: iters left: 6 (9 enodes) 98.294 * * [simplify]: iters left: 5 (36 enodes) 98.308 * * [simplify]: iters left: 4 (62 enodes) 98.324 * * [simplify]: iters left: 3 (78 enodes) 98.335 * * [simplify]: iters left: 2 (90 enodes) 98.347 * * [simplify]: iters left: 1 (94 enodes) 98.364 * * [simplify]: Extracting #0: cost 1 inf + 0 98.364 * * [simplify]: Extracting #1: cost 11 inf + 0 98.364 * * [simplify]: Extracting #2: cost 27 inf + 1 98.365 * * [simplify]: Extracting #3: cost 29 inf + 409 98.365 * * [simplify]: Extracting #4: cost 12 inf + 2359 98.366 * * [simplify]: Extracting #5: cost 2 inf + 4022 98.368 * * [simplify]: Extracting #6: cost 0 inf + 4466 98.369 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 98.369 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))))) (sqrt k))) 98.370 * * * * [progress]: [ 53 / 303 ] simplifiying candidate # 98.370 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 98.370 * * [simplify]: iters left: 6 (9 enodes) 98.376 * * [simplify]: iters left: 5 (36 enodes) 98.386 * * [simplify]: iters left: 4 (62 enodes) 98.395 * * [simplify]: iters left: 3 (78 enodes) 98.406 * * [simplify]: iters left: 2 (90 enodes) 98.420 * * [simplify]: iters left: 1 (94 enodes) 98.442 * * [simplify]: Extracting #0: cost 1 inf + 0 98.442 * * [simplify]: Extracting #1: cost 11 inf + 0 98.442 * * [simplify]: Extracting #2: cost 27 inf + 1 98.442 * * [simplify]: Extracting #3: cost 29 inf + 249 98.443 * * [simplify]: Extracting #4: cost 12 inf + 1879 98.444 * * [simplify]: Extracting #5: cost 2 inf + 3302 98.445 * * [simplify]: Extracting #6: cost 0 inf + 3666 98.446 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 98.446 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))))) (sqrt k))) 98.447 * * * * [progress]: [ 54 / 303 ] simplifiying candidate # 98.447 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 98.447 * * [simplify]: iters left: 6 (8 enodes) 98.450 * * [simplify]: iters left: 5 (34 enodes) 98.458 * * [simplify]: iters left: 4 (58 enodes) 98.466 * * [simplify]: iters left: 3 (65 enodes) 98.476 * * [simplify]: Extracting #0: cost 1 inf + 0 98.476 * * [simplify]: Extracting #1: cost 8 inf + 0 98.477 * * [simplify]: Extracting #2: cost 14 inf + 3 98.477 * * [simplify]: Extracting #3: cost 17 inf + 5 98.477 * * [simplify]: Extracting #4: cost 12 inf + 292 98.477 * * [simplify]: Extracting #5: cost 1 inf + 1355 98.478 * * [simplify]: Extracting #6: cost 0 inf + 1478 98.478 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 98.479 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)))) (sqrt k))) 98.479 * * * * [progress]: [ 55 / 303 ] simplifiying candidate # 98.479 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 98.479 * * [simplify]: iters left: 6 (8 enodes) 98.484 * * [simplify]: iters left: 5 (33 enodes) 98.495 * * [simplify]: iters left: 4 (52 enodes) 98.511 * * [simplify]: iters left: 3 (62 enodes) 98.528 * * [simplify]: iters left: 2 (67 enodes) 98.537 * * [simplify]: Extracting #0: cost 1 inf + 0 98.537 * * [simplify]: Extracting #1: cost 9 inf + 0 98.537 * * [simplify]: Extracting #2: cost 23 inf + 0 98.538 * * [simplify]: Extracting #3: cost 24 inf + 285 98.538 * * [simplify]: Extracting #4: cost 18 inf + 975 98.538 * * [simplify]: Extracting #5: cost 7 inf + 2516 98.539 * * [simplify]: Extracting #6: cost 0 inf + 3891 98.539 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 98.539 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))) 98.539 * * * * [progress]: [ 56 / 303 ] simplifiying candidate # 98.540 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 98.540 * * [simplify]: iters left: 6 (9 enodes) 98.543 * * [simplify]: iters left: 5 (36 enodes) 98.549 * * [simplify]: iters left: 4 (58 enodes) 98.563 * * [simplify]: iters left: 3 (75 enodes) 98.584 * * [simplify]: iters left: 2 (87 enodes) 98.597 * * [simplify]: iters left: 1 (91 enodes) 98.609 * * [simplify]: Extracting #0: cost 1 inf + 0 98.609 * * [simplify]: Extracting #1: cost 11 inf + 0 98.609 * * [simplify]: Extracting #2: cost 30 inf + 0 98.609 * * [simplify]: Extracting #3: cost 36 inf + 83 98.610 * * [simplify]: Extracting #4: cost 30 inf + 451 98.610 * * [simplify]: Extracting #5: cost 10 inf + 3649 98.611 * * [simplify]: Extracting #6: cost 0 inf + 5431 98.612 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 98.612 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))))) (sqrt k))) 98.612 * * * * [progress]: [ 57 / 303 ] simplifiying candidate # 98.612 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 98.612 * * [simplify]: iters left: 6 (8 enodes) 98.615 * * [simplify]: iters left: 5 (33 enodes) 98.629 * * [simplify]: iters left: 4 (55 enodes) 98.639 * * [simplify]: iters left: 3 (73 enodes) 98.650 * * [simplify]: iters left: 2 (84 enodes) 98.664 * * [simplify]: iters left: 1 (87 enodes) 98.686 * * [simplify]: Extracting #0: cost 1 inf + 0 98.687 * * [simplify]: Extracting #1: cost 11 inf + 0 98.687 * * [simplify]: Extracting #2: cost 25 inf + 203 98.687 * * [simplify]: Extracting #3: cost 29 inf + 407 98.687 * * [simplify]: Extracting #4: cost 24 inf + 896 98.688 * * [simplify]: Extracting #5: cost 9 inf + 2805 98.689 * * [simplify]: Extracting #6: cost 0 inf + 4466 98.691 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 98.691 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))))) (sqrt k))) 98.691 * * * * [progress]: [ 58 / 303 ] simplifiying candidate # 98.691 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 98.691 * * [simplify]: iters left: 6 (9 enodes) 98.697 * * [simplify]: iters left: 5 (36 enodes) 98.710 * * [simplify]: iters left: 4 (58 enodes) 98.729 * * [simplify]: iters left: 3 (75 enodes) 98.754 * * [simplify]: iters left: 2 (87 enodes) 98.779 * * [simplify]: iters left: 1 (91 enodes) 98.804 * * [simplify]: Extracting #0: cost 1 inf + 0 98.804 * * [simplify]: Extracting #1: cost 11 inf + 0 98.804 * * [simplify]: Extracting #2: cost 30 inf + 0 98.804 * * [simplify]: Extracting #3: cost 36 inf + 43 98.804 * * [simplify]: Extracting #4: cost 30 inf + 451 98.805 * * [simplify]: Extracting #5: cost 10 inf + 3769 98.807 * * [simplify]: Extracting #6: cost 0 inf + 5431 98.809 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 98.809 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))))) (sqrt k))) 98.809 * * * * [progress]: [ 59 / 303 ] simplifiying candidate # 98.810 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 98.810 * * [simplify]: iters left: 6 (8 enodes) 98.812 * * [simplify]: iters left: 5 (33 enodes) 98.819 * * [simplify]: iters left: 4 (51 enodes) 98.827 * * [simplify]: iters left: 3 (59 enodes) 98.835 * * [simplify]: Extracting #0: cost 1 inf + 0 98.835 * * [simplify]: Extracting #1: cost 8 inf + 0 98.835 * * [simplify]: Extracting #2: cost 15 inf + 43 98.835 * * [simplify]: Extracting #3: cost 19 inf + 85 98.835 * * [simplify]: Extracting #4: cost 16 inf + 250 98.836 * * [simplify]: Extracting #5: cost 5 inf + 1311 98.836 * * [simplify]: Extracting #6: cost 0 inf + 1962 98.836 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 98.836 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)))) (sqrt k))) 98.837 * * * * [progress]: [ 60 / 303 ] simplifiying candidate # 98.837 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 98.837 * * [simplify]: iters left: 6 (8 enodes) 98.839 * * [simplify]: iters left: 5 (33 enodes) 98.848 * * [simplify]: iters left: 4 (55 enodes) 98.866 * * [simplify]: iters left: 3 (73 enodes) 98.889 * * [simplify]: iters left: 2 (84 enodes) 98.901 * * [simplify]: iters left: 1 (87 enodes) 98.913 * * [simplify]: Extracting #0: cost 1 inf + 0 98.913 * * [simplify]: Extracting #1: cost 11 inf + 0 98.913 * * [simplify]: Extracting #2: cost 25 inf + 123 98.913 * * [simplify]: Extracting #3: cost 29 inf + 247 98.913 * * [simplify]: Extracting #4: cost 24 inf + 576 98.913 * * [simplify]: Extracting #5: cost 9 inf + 2245 98.914 * * [simplify]: Extracting #6: cost 0 inf + 3666 98.916 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 98.916 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))))) (sqrt k))) 98.916 * * * * [progress]: [ 61 / 303 ] simplifiying candidate # 98.916 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 98.917 * * [simplify]: iters left: 6 (8 enodes) 98.922 * * [simplify]: iters left: 5 (34 enodes) 98.930 * * [simplify]: iters left: 4 (54 enodes) 98.939 * * [simplify]: iters left: 3 (67 enodes) 98.951 * * [simplify]: iters left: 2 (80 enodes) 98.972 * * [simplify]: iters left: 1 (87 enodes) 98.986 * * [simplify]: Extracting #0: cost 1 inf + 0 98.986 * * [simplify]: Extracting #1: cost 11 inf + 0 98.987 * * [simplify]: Extracting #2: cost 25 inf + 203 98.987 * * [simplify]: Extracting #3: cost 26 inf + 773 98.987 * * [simplify]: Extracting #4: cost 24 inf + 896 98.987 * * [simplify]: Extracting #5: cost 8 inf + 3127 98.988 * * [simplify]: Extracting #6: cost 0 inf + 4466 98.989 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 98.989 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))))) (sqrt k))) 98.989 * * * * [progress]: [ 62 / 303 ] simplifiying candidate # 98.989 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 98.989 * * [simplify]: iters left: 6 (8 enodes) 98.992 * * [simplify]: iters left: 5 (34 enodes) 98.998 * * [simplify]: iters left: 4 (54 enodes) 99.015 * * [simplify]: iters left: 3 (67 enodes) 99.026 * * [simplify]: iters left: 2 (80 enodes) 99.039 * * [simplify]: iters left: 1 (87 enodes) 99.055 * * [simplify]: Extracting #0: cost 1 inf + 0 99.055 * * [simplify]: Extracting #1: cost 11 inf + 0 99.055 * * [simplify]: Extracting #2: cost 25 inf + 123 99.055 * * [simplify]: Extracting #3: cost 26 inf + 493 99.056 * * [simplify]: Extracting #4: cost 24 inf + 576 99.056 * * [simplify]: Extracting #5: cost 8 inf + 2527 99.058 * * [simplify]: Extracting #6: cost 0 inf + 3666 99.059 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 99.059 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))))) (sqrt k))) 99.059 * * * * [progress]: [ 63 / 303 ] simplifiying candidate # 99.060 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 99.060 * * [simplify]: iters left: 6 (7 enodes) 99.065 * * [simplify]: iters left: 5 (32 enodes) 99.077 * * [simplify]: iters left: 4 (50 enodes) 99.092 * * [simplify]: iters left: 3 (54 enodes) 99.106 * * [simplify]: Extracting #0: cost 1 inf + 0 99.106 * * [simplify]: Extracting #1: cost 8 inf + 0 99.106 * * [simplify]: Extracting #2: cost 13 inf + 3 99.106 * * [simplify]: Extracting #3: cost 15 inf + 5 99.106 * * [simplify]: Extracting #4: cost 14 inf + 6 99.106 * * [simplify]: Extracting #5: cost 4 inf + 825 99.106 * * [simplify]: Extracting #6: cost 0 inf + 1234 99.107 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 99.107 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))))) (sqrt k))) 99.107 * * * * [progress]: [ 64 / 303 ] simplifiying candidate # 99.107 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 99.108 * * [simplify]: iters left: 6 (7 enodes) 99.110 * * [simplify]: iters left: 5 (30 enodes) 99.116 * * [simplify]: iters left: 4 (49 enodes) 99.124 * * [simplify]: iters left: 3 (59 enodes) 99.135 * * [simplify]: iters left: 2 (64 enodes) 99.152 * * [simplify]: Extracting #0: cost 1 inf + 0 99.152 * * [simplify]: Extracting #1: cost 9 inf + 0 99.152 * * [simplify]: Extracting #2: cost 23 inf + 0 99.152 * * [simplify]: Extracting #3: cost 24 inf + 3 99.153 * * [simplify]: Extracting #4: cost 15 inf + 980 99.154 * * [simplify]: Extracting #5: cost 1 inf + 3007 99.155 * * [simplify]: Extracting #6: cost 0 inf + 3169 99.156 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 99.156 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))) 99.156 * * * * [progress]: [ 65 / 303 ] simplifiying candidate # 99.157 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 99.157 * * [simplify]: iters left: 6 (8 enodes) 99.162 * * [simplify]: iters left: 5 (33 enodes) 99.174 * * [simplify]: iters left: 4 (55 enodes) 99.192 * * [simplify]: iters left: 3 (72 enodes) 99.213 * * [simplify]: iters left: 2 (84 enodes) 99.239 * * [simplify]: iters left: 1 (88 enodes) 99.262 * * [simplify]: Extracting #0: cost 1 inf + 0 99.262 * * [simplify]: Extracting #1: cost 11 inf + 0 99.262 * * [simplify]: Extracting #2: cost 30 inf + 0 99.263 * * [simplify]: Extracting #3: cost 33 inf + 84 99.263 * * [simplify]: Extracting #4: cost 12 inf + 2402 99.265 * * [simplify]: Extracting #5: cost 0 inf + 4469 99.266 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 99.266 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))) (sqrt k))) 99.267 * * * * [progress]: [ 66 / 303 ] simplifiying candidate # 99.267 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 99.267 * * [simplify]: iters left: 6 (7 enodes) 99.272 * * [simplify]: iters left: 5 (30 enodes) 99.278 * * [simplify]: iters left: 4 (52 enodes) 99.287 * * [simplify]: iters left: 3 (70 enodes) 99.298 * * [simplify]: iters left: 2 (81 enodes) 99.316 * * [simplify]: iters left: 1 (84 enodes) 99.333 * * [simplify]: Extracting #0: cost 1 inf + 0 99.333 * * [simplify]: Extracting #1: cost 11 inf + 0 99.333 * * [simplify]: Extracting #2: cost 25 inf + 203 99.333 * * [simplify]: Extracting #3: cost 25 inf + 530 99.333 * * [simplify]: Extracting #4: cost 4 inf + 2936 99.334 * * [simplify]: Extracting #5: cost 0 inf + 3504 99.335 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 99.335 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))))) (sqrt k))) 99.335 * * * * [progress]: [ 67 / 303 ] simplifiying candidate # 99.335 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 99.335 * * [simplify]: iters left: 6 (8 enodes) 99.338 * * [simplify]: iters left: 5 (33 enodes) 99.346 * * [simplify]: iters left: 4 (55 enodes) 99.357 * * [simplify]: iters left: 3 (72 enodes) 99.378 * * [simplify]: iters left: 2 (84 enodes) 99.403 * * [simplify]: iters left: 1 (88 enodes) 99.427 * * [simplify]: Extracting #0: cost 1 inf + 0 99.427 * * [simplify]: Extracting #1: cost 11 inf + 0 99.427 * * [simplify]: Extracting #2: cost 30 inf + 0 99.427 * * [simplify]: Extracting #3: cost 33 inf + 44 99.428 * * [simplify]: Extracting #4: cost 12 inf + 2362 99.429 * * [simplify]: Extracting #5: cost 0 inf + 4469 99.430 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 99.430 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))) (sqrt k))) 99.431 * * * * [progress]: [ 68 / 303 ] simplifiying candidate # 99.431 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 99.431 * * [simplify]: iters left: 6 (7 enodes) 99.436 * * [simplify]: iters left: 5 (30 enodes) 99.447 * * [simplify]: iters left: 4 (48 enodes) 99.462 * * [simplify]: iters left: 3 (56 enodes) 99.476 * * [simplify]: Extracting #0: cost 1 inf + 0 99.476 * * [simplify]: Extracting #1: cost 8 inf + 0 99.476 * * [simplify]: Extracting #2: cost 15 inf + 43 99.476 * * [simplify]: Extracting #3: cost 16 inf + 86 99.476 * * [simplify]: Extracting #4: cost 5 inf + 911 99.477 * * [simplify]: Extracting #5: cost 1 inf + 1198 99.477 * * [simplify]: Extracting #6: cost 0 inf + 1320 99.477 * [simplify]: Simplified to (/ (- 1 k) 2) 99.477 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)))) (sqrt k))) 99.477 * * * * [progress]: [ 69 / 303 ] simplifiying candidate # 99.478 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 99.478 * * [simplify]: iters left: 6 (7 enodes) 99.482 * * [simplify]: iters left: 5 (30 enodes) 99.487 * * [simplify]: iters left: 4 (52 enodes) 99.496 * * [simplify]: iters left: 3 (70 enodes) 99.508 * * [simplify]: iters left: 2 (81 enodes) 99.527 * * [simplify]: iters left: 1 (84 enodes) 99.549 * * [simplify]: Extracting #0: cost 1 inf + 0 99.549 * * [simplify]: Extracting #1: cost 11 inf + 0 99.549 * * [simplify]: Extracting #2: cost 25 inf + 123 99.549 * * [simplify]: Extracting #3: cost 25 inf + 330 99.550 * * [simplify]: Extracting #4: cost 4 inf + 2256 99.551 * * [simplify]: Extracting #5: cost 0 inf + 2704 99.552 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 99.552 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))))) (sqrt k))) 99.553 * * * * [progress]: [ 70 / 303 ] simplifiying candidate # 99.553 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 99.553 * * [simplify]: iters left: 6 (7 enodes) 99.558 * * [simplify]: iters left: 5 (31 enodes) 99.568 * * [simplify]: iters left: 4 (51 enodes) 99.576 * * [simplify]: iters left: 3 (64 enodes) 99.586 * * [simplify]: iters left: 2 (77 enodes) 99.599 * * [simplify]: iters left: 1 (84 enodes) 99.611 * * [simplify]: Extracting #0: cost 1 inf + 0 99.611 * * [simplify]: Extracting #1: cost 11 inf + 0 99.611 * * [simplify]: Extracting #2: cost 26 inf + 82 99.611 * * [simplify]: Extracting #3: cost 24 inf + 692 99.611 * * [simplify]: Extracting #4: cost 3 inf + 3057 99.612 * * [simplify]: Extracting #5: cost 0 inf + 3504 99.612 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 99.612 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))))) (sqrt k))) 99.613 * * * * [progress]: [ 71 / 303 ] simplifiying candidate # 99.613 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 99.613 * * [simplify]: iters left: 6 (7 enodes) 99.616 * * [simplify]: iters left: 5 (31 enodes) 99.621 * * [simplify]: iters left: 4 (51 enodes) 99.630 * * [simplify]: iters left: 3 (64 enodes) 99.641 * * [simplify]: iters left: 2 (77 enodes) 99.662 * * [simplify]: iters left: 1 (84 enodes) 99.686 * * [simplify]: Extracting #0: cost 1 inf + 0 99.686 * * [simplify]: Extracting #1: cost 11 inf + 0 99.686 * * [simplify]: Extracting #2: cost 26 inf + 42 99.686 * * [simplify]: Extracting #3: cost 24 inf + 452 99.687 * * [simplify]: Extracting #4: cost 3 inf + 2337 99.688 * * [simplify]: Extracting #5: cost 0 inf + 2704 99.689 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 99.690 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))))) (sqrt k))) 99.690 * * * * [progress]: [ 72 / 303 ] simplifiying candidate # 99.690 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 99.690 * * [simplify]: iters left: 6 (6 enodes) 99.695 * * [simplify]: iters left: 5 (29 enodes) 99.708 * * [simplify]: iters left: 4 (44 enodes) 99.716 * * [simplify]: iters left: 3 (50 enodes) 99.724 * * [simplify]: iters left: 2 (57 enodes) 99.734 * * [simplify]: Extracting #0: cost 1 inf + 0 99.734 * * [simplify]: Extracting #1: cost 9 inf + 0 99.734 * * [simplify]: Extracting #2: cost 15 inf + 3 99.734 * * [simplify]: Extracting #3: cost 11 inf + 131 99.734 * * [simplify]: Extracting #4: cost 2 inf + 711 99.734 * * [simplify]: Extracting #5: cost 0 inf + 836 99.735 * [simplify]: Simplified to (- 1/4 (/ k 4)) 99.735 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))))) (sqrt k))) 99.735 * * * * [progress]: [ 73 / 303 ] simplifiying candidate # 99.735 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 99.735 * * [simplify]: iters left: 6 (7 enodes) 99.738 * * [simplify]: iters left: 5 (31 enodes) 99.744 * * [simplify]: iters left: 4 (51 enodes) 99.757 * * [simplify]: iters left: 3 (64 enodes) 99.776 * * [simplify]: iters left: 2 (77 enodes) 99.787 * * [simplify]: iters left: 1 (84 enodes) 99.799 * * [simplify]: Extracting #0: cost 1 inf + 0 99.799 * * [simplify]: Extracting #1: cost 11 inf + 0 99.799 * * [simplify]: Extracting #2: cost 26 inf + 82 99.799 * * [simplify]: Extracting #3: cost 24 inf + 692 99.800 * * [simplify]: Extracting #4: cost 3 inf + 3057 99.802 * * [simplify]: Extracting #5: cost 0 inf + 3504 99.803 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 99.803 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))))) (sqrt k))) 99.803 * * * * [progress]: [ 74 / 303 ] simplifiying candidate # 99.803 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 99.803 * * [simplify]: iters left: 6 (7 enodes) 99.806 * * [simplify]: iters left: 5 (31 enodes) 99.817 * * [simplify]: iters left: 4 (51 enodes) 99.834 * * [simplify]: iters left: 3 (64 enodes) 99.853 * * [simplify]: iters left: 2 (77 enodes) 99.875 * * [simplify]: iters left: 1 (84 enodes) 99.897 * * [simplify]: Extracting #0: cost 1 inf + 0 99.897 * * [simplify]: Extracting #1: cost 11 inf + 0 99.897 * * [simplify]: Extracting #2: cost 26 inf + 42 99.897 * * [simplify]: Extracting #3: cost 24 inf + 452 99.898 * * [simplify]: Extracting #4: cost 3 inf + 2337 99.899 * * [simplify]: Extracting #5: cost 0 inf + 2704 99.899 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 99.899 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))))) (sqrt k))) 99.899 * * * * [progress]: [ 75 / 303 ] simplifiying candidate # 99.899 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 99.900 * * [simplify]: iters left: 6 (6 enodes) 99.902 * * [simplify]: iters left: 5 (29 enodes) 99.908 * * [simplify]: iters left: 4 (44 enodes) 99.914 * * [simplify]: iters left: 3 (50 enodes) 99.922 * * [simplify]: iters left: 2 (57 enodes) 99.933 * * [simplify]: Extracting #0: cost 1 inf + 0 99.933 * * [simplify]: Extracting #1: cost 9 inf + 0 99.933 * * [simplify]: Extracting #2: cost 15 inf + 3 99.933 * * [simplify]: Extracting #3: cost 11 inf + 131 99.933 * * [simplify]: Extracting #4: cost 2 inf + 711 99.933 * * [simplify]: Extracting #5: cost 0 inf + 836 99.934 * [simplify]: Simplified to (- 1/4 (/ k 4)) 99.934 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))))) (sqrt k))) 99.934 * * * * [progress]: [ 76 / 303 ] simplifiying candidate # 99.934 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 99.934 * * [simplify]: iters left: 4 (5 enodes) 99.937 * * [simplify]: iters left: 3 (20 enodes) 99.940 * * [simplify]: iters left: 2 (27 enodes) 99.947 * * [simplify]: iters left: 1 (29 enodes) 99.956 * * [simplify]: Extracting #0: cost 1 inf + 0 99.956 * * [simplify]: Extracting #1: cost 8 inf + 0 99.957 * * [simplify]: Extracting #2: cost 4 inf + 449 99.957 * * [simplify]: Extracting #3: cost 0 inf + 895 99.957 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 99.957 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))))) (sqrt k))) 99.957 * * * * [progress]: [ 77 / 303 ] simplifiying candidate # 99.958 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 99.958 * * [simplify]: iters left: 4 (5 enodes) 99.963 * * [simplify]: iters left: 3 (20 enodes) 99.970 * * [simplify]: iters left: 2 (27 enodes) 99.979 * * [simplify]: iters left: 1 (29 enodes) 99.988 * * [simplify]: Extracting #0: cost 1 inf + 0 99.988 * * [simplify]: Extracting #1: cost 8 inf + 0 99.989 * * [simplify]: Extracting #2: cost 4 inf + 289 99.989 * * [simplify]: Extracting #3: cost 0 inf + 575 99.989 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 99.989 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))))) (sqrt k))) 99.989 * * * * [progress]: [ 78 / 303 ] simplifiying candidate # 99.990 * [simplify]: Simplifying (/ (/ 1 2) 2) 99.990 * * [simplify]: iters left: 4 (4 enodes) 99.995 * * [simplify]: iters left: 3 (19 enodes) 100.001 * * [simplify]: iters left: 2 (23 enodes) 100.008 * * [simplify]: Extracting #0: cost 1 inf + 0 100.008 * * [simplify]: Extracting #1: cost 0 inf + 1 100.008 * [simplify]: Simplified to 1/4 100.008 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4))) (sqrt k))) 100.008 * * * * [progress]: [ 79 / 303 ] simplifiying candidate # 100.009 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 100.009 * * [simplify]: iters left: 6 (6 enodes) 100.014 * * [simplify]: iters left: 5 (29 enodes) 100.024 * * [simplify]: iters left: 4 (44 enodes) 100.037 * * [simplify]: iters left: 3 (50 enodes) 100.052 * * [simplify]: iters left: 2 (57 enodes) 100.069 * * [simplify]: Extracting #0: cost 1 inf + 0 100.069 * * [simplify]: Extracting #1: cost 9 inf + 0 100.069 * * [simplify]: Extracting #2: cost 15 inf + 3 100.069 * * [simplify]: Extracting #3: cost 11 inf + 131 100.070 * * [simplify]: Extracting #4: cost 2 inf + 711 100.070 * * [simplify]: Extracting #5: cost 0 inf + 836 100.071 * [simplify]: Simplified to (- 1/4 (/ k 4)) 100.071 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))))) (sqrt k))) 100.071 * * * * [progress]: [ 80 / 303 ] simplifiying candidate # 100.071 * [simplify]: Simplifying (/ 1 2) 100.071 * * [simplify]: iters left: 2 (3 enodes) 100.077 * * [simplify]: iters left: 1 (12 enodes) 100.082 * * [simplify]: Extracting #0: cost 1 inf + 0 100.083 * * [simplify]: Extracting #1: cost 0 inf + 1 100.083 * [simplify]: Simplified to 1/2 100.083 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2))) (sqrt k))) 100.083 * * * * [progress]: [ 81 / 303 ] simplifiying candidate # 100.083 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 100.083 * * [simplify]: iters left: 6 (8 enodes) 100.089 * * [simplify]: iters left: 5 (38 enodes) 100.103 * * [simplify]: iters left: 4 (66 enodes) 100.126 * * [simplify]: iters left: 3 (110 enodes) 100.159 * * [simplify]: iters left: 2 (200 enodes) 100.215 * * [simplify]: iters left: 1 (403 enodes) 100.362 * * [simplify]: Extracting #0: cost 1 inf + 0 100.362 * * [simplify]: Extracting #1: cost 26 inf + 0 100.363 * * [simplify]: Extracting #2: cost 100 inf + 2 100.363 * * [simplify]: Extracting #3: cost 164 inf + 10 100.364 * * [simplify]: Extracting #4: cost 163 inf + 641 100.367 * * [simplify]: Extracting #5: cost 72 inf + 12998 100.376 * * [simplify]: Extracting #6: cost 25 inf + 35040 100.392 * * [simplify]: Extracting #7: cost 0 inf + 54806 100.405 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 100.405 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 100.405 * * * * [progress]: [ 82 / 303 ] simplifiying candidate # 100.405 * * * * [progress]: [ 83 / 303 ] simplifiying candidate # 100.405 * * * * [progress]: [ 84 / 303 ] simplifiying candidate # 100.405 * * * * [progress]: [ 85 / 303 ] simplifiying candidate # 100.405 * * * * [progress]: [ 86 / 303 ] simplifiying candidate # 100.405 * * * * [progress]: [ 87 / 303 ] simplifiying candidate # 100.405 * * * * [progress]: [ 88 / 303 ] simplifiying candidate # 100.405 * * * * [progress]: [ 89 / 303 ] simplifiying candidate # 100.405 * * * * [progress]: [ 90 / 303 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) (sqrt k)))> 100.405 * * * * [progress]: [ 91 / 303 ] simplifiying candidate # 100.405 * * * * [progress]: [ 92 / 303 ] simplifiying candidate # 100.406 * * * * [progress]: [ 93 / 303 ] simplifiying candidate # 100.406 * [simplify]: Simplifying (* (log n) (/ (/ (- 1 k) 2) 2)) 100.406 * * [simplify]: iters left: 6 (9 enodes) 100.409 * * [simplify]: iters left: 5 (41 enodes) 100.416 * * [simplify]: iters left: 4 (67 enodes) 100.427 * * [simplify]: iters left: 3 (93 enodes) 100.449 * * [simplify]: iters left: 2 (130 enodes) 100.500 * * [simplify]: iters left: 1 (241 enodes) 100.592 * * [simplify]: Extracting #0: cost 1 inf + 0 100.593 * * [simplify]: Extracting #1: cost 43 inf + 0 100.593 * * [simplify]: Extracting #2: cost 74 inf + 5 100.594 * * [simplify]: Extracting #3: cost 66 inf + 1187 100.598 * * [simplify]: Extracting #4: cost 12 inf + 8401 100.603 * * [simplify]: Extracting #5: cost 0 inf + 10394 100.609 * * [simplify]: Extracting #6: cost 0 inf + 10385 100.614 * [simplify]: Simplified to (/ (- (log n) (* k (log n))) 4) 100.615 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (/ (- (log n) (* k (log n))) 4)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.615 * * * * [progress]: [ 94 / 303 ] simplifiying candidate # 100.615 * * * * [progress]: [ 95 / 303 ] simplifiying candidate # 100.615 * * * * [progress]: [ 96 / 303 ] simplifiying candidate # 100.615 * [simplify]: Simplifying (pow n (/ (/ k 2) 2)) 100.615 * * [simplify]: iters left: 5 (6 enodes) 100.619 * * [simplify]: iters left: 4 (24 enodes) 100.627 * * [simplify]: iters left: 3 (36 enodes) 100.636 * * [simplify]: iters left: 2 (66 enodes) 100.652 * * [simplify]: iters left: 1 (143 enodes) 100.713 * * [simplify]: Extracting #0: cost 1 inf + 0 100.714 * * [simplify]: Extracting #1: cost 13 inf + 0 100.714 * * [simplify]: Extracting #2: cost 57 inf + 2 100.714 * * [simplify]: Extracting #3: cost 78 inf + 8 100.715 * * [simplify]: Extracting #4: cost 55 inf + 1674 100.717 * * [simplify]: Extracting #5: cost 24 inf + 7986 100.722 * * [simplify]: Extracting #6: cost 2 inf + 18890 100.726 * * [simplify]: Extracting #7: cost 0 inf + 20348 100.731 * * [simplify]: Extracting #8: cost 0 inf + 20217 100.736 * [simplify]: Simplified to (pow n (/ k 4)) 100.736 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (/ (pow n (/ (/ 1 2) 2)) (pow n (/ k 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.737 * * * * [progress]: [ 97 / 303 ] simplifiying candidate # 100.737 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 100.737 * * [simplify]: iters left: 6 (7 enodes) 100.740 * * [simplify]: iters left: 5 (32 enodes) 100.747 * * [simplify]: iters left: 4 (47 enodes) 100.754 * * [simplify]: iters left: 3 (53 enodes) 100.762 * * [simplify]: iters left: 2 (60 enodes) 100.775 * * [simplify]: Extracting #0: cost 1 inf + 0 100.775 * * [simplify]: Extracting #1: cost 3 inf + 0 100.775 * * [simplify]: Extracting #2: cost 11 inf + 0 100.775 * * [simplify]: Extracting #3: cost 17 inf + 3 100.775 * * [simplify]: Extracting #4: cost 14 inf + 129 100.776 * * [simplify]: Extracting #5: cost 3 inf + 794 100.776 * * [simplify]: Extracting #6: cost 0 inf + 1162 100.777 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 100.777 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.777 * * * * [progress]: [ 98 / 303 ] simplifiying candidate # 100.778 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 100.778 * * [simplify]: iters left: 6 (7 enodes) 100.780 * * [simplify]: iters left: 5 (32 enodes) 100.786 * * [simplify]: iters left: 4 (47 enodes) 100.794 * * [simplify]: iters left: 3 (53 enodes) 100.804 * * [simplify]: iters left: 2 (60 enodes) 100.813 * * [simplify]: Extracting #0: cost 1 inf + 0 100.813 * * [simplify]: Extracting #1: cost 3 inf + 0 100.813 * * [simplify]: Extracting #2: cost 11 inf + 0 100.813 * * [simplify]: Extracting #3: cost 17 inf + 3 100.813 * * [simplify]: Extracting #4: cost 14 inf + 129 100.814 * * [simplify]: Extracting #5: cost 3 inf + 794 100.814 * * [simplify]: Extracting #6: cost 0 inf + 1082 100.814 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 100.814 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.815 * * * * [progress]: [ 99 / 303 ] simplifiying candidate # 100.815 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 100.815 * * [simplify]: iters left: 6 (8 enodes) 100.820 * * [simplify]: iters left: 5 (32 enodes) 100.831 * * [simplify]: iters left: 4 (41 enodes) 100.844 * * [simplify]: Extracting #0: cost 1 inf + 0 100.844 * * [simplify]: Extracting #1: cost 4 inf + 0 100.844 * * [simplify]: Extracting #2: cost 8 inf + 0 100.844 * * [simplify]: Extracting #3: cost 9 inf + 163 100.844 * * [simplify]: Extracting #4: cost 13 inf + 164 100.844 * * [simplify]: Extracting #5: cost 10 inf + 249 100.845 * * [simplify]: Extracting #6: cost 3 inf + 986 100.845 * * [simplify]: Extracting #7: cost 0 inf + 1474 100.846 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 100.846 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.846 * * * * [progress]: [ 100 / 303 ] simplifiying candidate # 100.846 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 100.847 * * [simplify]: iters left: 6 (8 enodes) 100.852 * * [simplify]: iters left: 5 (32 enodes) 100.863 * * [simplify]: iters left: 4 (41 enodes) 100.875 * * [simplify]: Extracting #0: cost 1 inf + 0 100.875 * * [simplify]: Extracting #1: cost 4 inf + 0 100.875 * * [simplify]: Extracting #2: cost 8 inf + 0 100.875 * * [simplify]: Extracting #3: cost 9 inf + 83 100.875 * * [simplify]: Extracting #4: cost 13 inf + 84 100.875 * * [simplify]: Extracting #5: cost 10 inf + 169 100.876 * * [simplify]: Extracting #6: cost 3 inf + 866 100.876 * * [simplify]: Extracting #7: cost 0 inf + 1314 100.877 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 100.877 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.877 * * * * [progress]: [ 101 / 303 ] simplifiying candidate # 100.877 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 100.877 * * [simplify]: iters left: 6 (7 enodes) 100.882 * * [simplify]: iters left: 5 (29 enodes) 100.892 * * [simplify]: iters left: 4 (38 enodes) 100.903 * * [simplify]: Extracting #0: cost 1 inf + 0 100.903 * * [simplify]: Extracting #1: cost 4 inf + 0 100.903 * * [simplify]: Extracting #2: cost 5 inf + 1 100.903 * * [simplify]: Extracting #3: cost 9 inf + 1 100.903 * * [simplify]: Extracting #4: cost 13 inf + 2 100.904 * * [simplify]: Extracting #5: cost 12 inf + 4 100.904 * * [simplify]: Extracting #6: cost 2 inf + 746 100.904 * * [simplify]: Extracting #7: cost 0 inf + 1152 100.905 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 100.905 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.905 * * * * [progress]: [ 102 / 303 ] simplifiying candidate # 100.905 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 100.905 * * [simplify]: iters left: 6 (8 enodes) 100.911 * * [simplify]: iters left: 5 (32 enodes) 100.921 * * [simplify]: iters left: 4 (41 enodes) 100.933 * * [simplify]: Extracting #0: cost 1 inf + 0 100.934 * * [simplify]: Extracting #1: cost 4 inf + 0 100.934 * * [simplify]: Extracting #2: cost 8 inf + 0 100.934 * * [simplify]: Extracting #3: cost 9 inf + 163 100.934 * * [simplify]: Extracting #4: cost 13 inf + 164 100.934 * * [simplify]: Extracting #5: cost 10 inf + 249 100.934 * * [simplify]: Extracting #6: cost 3 inf + 906 100.935 * * [simplify]: Extracting #7: cost 0 inf + 1314 100.935 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 100.935 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.936 * * * * [progress]: [ 103 / 303 ] simplifiying candidate # 100.936 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 100.936 * * [simplify]: iters left: 6 (8 enodes) 100.944 * * [simplify]: iters left: 5 (32 enodes) 100.956 * * [simplify]: iters left: 4 (41 enodes) 100.969 * * [simplify]: Extracting #0: cost 1 inf + 0 100.969 * * [simplify]: Extracting #1: cost 4 inf + 0 100.969 * * [simplify]: Extracting #2: cost 8 inf + 0 100.969 * * [simplify]: Extracting #3: cost 9 inf + 83 100.969 * * [simplify]: Extracting #4: cost 13 inf + 84 100.969 * * [simplify]: Extracting #5: cost 10 inf + 169 100.970 * * [simplify]: Extracting #6: cost 3 inf + 786 100.970 * * [simplify]: Extracting #7: cost 0 inf + 1154 100.971 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 100.971 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.971 * * * * [progress]: [ 104 / 303 ] simplifiying candidate # 100.971 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 100.971 * * [simplify]: iters left: 6 (7 enodes) 100.976 * * [simplify]: iters left: 5 (29 enodes) 100.986 * * [simplify]: iters left: 4 (38 enodes) 100.998 * * [simplify]: Extracting #0: cost 1 inf + 0 100.998 * * [simplify]: Extracting #1: cost 4 inf + 0 100.998 * * [simplify]: Extracting #2: cost 5 inf + 1 100.998 * * [simplify]: Extracting #3: cost 9 inf + 1 100.998 * * [simplify]: Extracting #4: cost 13 inf + 2 100.998 * * [simplify]: Extracting #5: cost 12 inf + 4 100.999 * * [simplify]: Extracting #6: cost 2 inf + 666 100.999 * * [simplify]: Extracting #7: cost 0 inf + 992 100.999 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 100.999 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.000 * * * * [progress]: [ 105 / 303 ] simplifiying candidate # 101.000 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 101.000 * * [simplify]: iters left: 6 (8 enodes) 101.005 * * [simplify]: iters left: 5 (30 enodes) 101.016 * * [simplify]: iters left: 4 (37 enodes) 101.027 * * [simplify]: Extracting #0: cost 1 inf + 0 101.027 * * [simplify]: Extracting #1: cost 6 inf + 0 101.027 * * [simplify]: Extracting #2: cost 12 inf + 0 101.028 * * [simplify]: Extracting #3: cost 11 inf + 405 101.028 * * [simplify]: Extracting #4: cost 10 inf + 407 101.028 * * [simplify]: Extracting #5: cost 4 inf + 1220 101.028 * * [simplify]: Extracting #6: cost 0 inf + 1869 101.029 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 101.029 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.029 * * * * [progress]: [ 106 / 303 ] simplifiying candidate # 101.030 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 101.030 * * [simplify]: iters left: 6 (9 enodes) 101.035 * * [simplify]: iters left: 5 (33 enodes) 101.047 * * [simplify]: iters left: 4 (43 enodes) 101.060 * * [simplify]: iters left: 3 (45 enodes) 101.074 * * [simplify]: Extracting #0: cost 1 inf + 0 101.074 * * [simplify]: Extracting #1: cost 8 inf + 0 101.074 * * [simplify]: Extracting #2: cost 16 inf + 0 101.074 * * [simplify]: Extracting #3: cost 16 inf + 284 101.074 * * [simplify]: Extracting #4: cost 11 inf + 610 101.074 * * [simplify]: Extracting #5: cost 8 inf + 815 101.075 * * [simplify]: Extracting #6: cost 0 inf + 2517 101.076 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 101.076 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.076 * * * * [progress]: [ 107 / 303 ] simplifiying candidate # 101.076 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 101.076 * * [simplify]: iters left: 6 (8 enodes) 101.081 * * [simplify]: iters left: 5 (30 enodes) 101.091 * * [simplify]: iters left: 4 (40 enodes) 101.106 * * [simplify]: iters left: 3 (42 enodes) 101.118 * * [simplify]: Extracting #0: cost 1 inf + 0 101.118 * * [simplify]: Extracting #1: cost 8 inf + 0 101.118 * * [simplify]: Extracting #2: cost 12 inf + 82 101.118 * * [simplify]: Extracting #3: cost 13 inf + 405 101.119 * * [simplify]: Extracting #4: cost 12 inf + 407 101.119 * * [simplify]: Extracting #5: cost 5 inf + 1383 101.120 * * [simplify]: Extracting #6: cost 0 inf + 2195 101.120 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 101.120 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.121 * * * * [progress]: [ 108 / 303 ] simplifiying candidate # 101.121 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 101.121 * * [simplify]: iters left: 6 (9 enodes) 101.127 * * [simplify]: iters left: 5 (33 enodes) 101.139 * * [simplify]: iters left: 4 (43 enodes) 101.152 * * [simplify]: iters left: 3 (45 enodes) 101.165 * * [simplify]: Extracting #0: cost 1 inf + 0 101.166 * * [simplify]: Extracting #1: cost 8 inf + 0 101.166 * * [simplify]: Extracting #2: cost 16 inf + 0 101.166 * * [simplify]: Extracting #3: cost 16 inf + 284 101.166 * * [simplify]: Extracting #4: cost 11 inf + 610 101.166 * * [simplify]: Extracting #5: cost 8 inf + 815 101.167 * * [simplify]: Extracting #6: cost 0 inf + 2517 101.168 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 101.168 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.168 * * * * [progress]: [ 109 / 303 ] simplifiying candidate # 101.168 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 101.168 * * [simplify]: iters left: 6 (8 enodes) 101.173 * * [simplify]: iters left: 5 (30 enodes) 101.181 * * [simplify]: iters left: 4 (35 enodes) 101.187 * * [simplify]: Extracting #0: cost 1 inf + 0 101.187 * * [simplify]: Extracting #1: cost 6 inf + 0 101.187 * * [simplify]: Extracting #2: cost 8 inf + 42 101.187 * * [simplify]: Extracting #3: cost 11 inf + 83 101.187 * * [simplify]: Extracting #4: cost 10 inf + 85 101.187 * * [simplify]: Extracting #5: cost 4 inf + 658 101.188 * * [simplify]: Extracting #6: cost 0 inf + 1227 101.188 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 101.188 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.188 * * * * [progress]: [ 110 / 303 ] simplifiying candidate # 101.188 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 101.188 * * [simplify]: iters left: 6 (8 enodes) 101.191 * * [simplify]: iters left: 5 (30 enodes) 101.197 * * [simplify]: iters left: 4 (40 enodes) 101.204 * * [simplify]: iters left: 3 (42 enodes) 101.211 * * [simplify]: Extracting #0: cost 1 inf + 0 101.211 * * [simplify]: Extracting #1: cost 8 inf + 0 101.211 * * [simplify]: Extracting #2: cost 12 inf + 42 101.211 * * [simplify]: Extracting #3: cost 13 inf + 245 101.211 * * [simplify]: Extracting #4: cost 12 inf + 247 101.211 * * [simplify]: Extracting #5: cost 5 inf + 1143 101.211 * * [simplify]: Extracting #6: cost 0 inf + 1875 101.212 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 101.212 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.212 * * * * [progress]: [ 111 / 303 ] simplifiying candidate # 101.212 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 101.212 * * [simplify]: iters left: 6 (8 enodes) 101.215 * * [simplify]: iters left: 5 (30 enodes) 101.220 * * [simplify]: iters left: 4 (40 enodes) 101.228 * * [simplify]: iters left: 3 (42 enodes) 101.235 * * [simplify]: Extracting #0: cost 1 inf + 0 101.235 * * [simplify]: Extracting #1: cost 8 inf + 0 101.235 * * [simplify]: Extracting #2: cost 11 inf + 203 101.235 * * [simplify]: Extracting #3: cost 13 inf + 405 101.235 * * [simplify]: Extracting #4: cost 12 inf + 407 101.235 * * [simplify]: Extracting #5: cost 3 inf + 1789 101.236 * * [simplify]: Extracting #6: cost 0 inf + 2195 101.236 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 101.236 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.236 * * * * [progress]: [ 112 / 303 ] simplifiying candidate # 101.236 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 101.236 * * [simplify]: iters left: 6 (8 enodes) 101.239 * * [simplify]: iters left: 5 (30 enodes) 101.244 * * [simplify]: iters left: 4 (40 enodes) 101.251 * * [simplify]: iters left: 3 (42 enodes) 101.257 * * [simplify]: Extracting #0: cost 1 inf + 0 101.257 * * [simplify]: Extracting #1: cost 8 inf + 0 101.257 * * [simplify]: Extracting #2: cost 11 inf + 123 101.257 * * [simplify]: Extracting #3: cost 13 inf + 245 101.258 * * [simplify]: Extracting #4: cost 12 inf + 247 101.258 * * [simplify]: Extracting #5: cost 3 inf + 1509 101.258 * * [simplify]: Extracting #6: cost 0 inf + 1875 101.258 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 101.258 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.259 * * * * [progress]: [ 113 / 303 ] simplifiying candidate # 101.259 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 101.259 * * [simplify]: iters left: 6 (7 enodes) 101.261 * * [simplify]: iters left: 5 (28 enodes) 101.266 * * [simplify]: iters left: 4 (35 enodes) 101.272 * * [simplify]: Extracting #0: cost 1 inf + 0 101.272 * * [simplify]: Extracting #1: cost 6 inf + 0 101.272 * * [simplify]: Extracting #2: cost 7 inf + 2 101.272 * * [simplify]: Extracting #3: cost 11 inf + 2 101.272 * * [simplify]: Extracting #4: cost 9 inf + 45 101.272 * * [simplify]: Extracting #5: cost 4 inf + 455 101.273 * * [simplify]: Extracting #6: cost 0 inf + 1066 101.273 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 101.273 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.273 * * * * [progress]: [ 114 / 303 ] simplifiying candidate # 101.273 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 101.273 * * [simplify]: iters left: 6 (8 enodes) 101.276 * * [simplify]: iters left: 5 (30 enodes) 101.281 * * [simplify]: iters left: 4 (37 enodes) 101.287 * * [simplify]: Extracting #0: cost 1 inf + 0 101.288 * * [simplify]: Extracting #1: cost 6 inf + 0 101.288 * * [simplify]: Extracting #2: cost 12 inf + 0 101.288 * * [simplify]: Extracting #3: cost 11 inf + 405 101.288 * * [simplify]: Extracting #4: cost 10 inf + 407 101.288 * * [simplify]: Extracting #5: cost 4 inf + 1100 101.288 * * [simplify]: Extracting #6: cost 0 inf + 1629 101.288 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 101.288 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.289 * * * * [progress]: [ 115 / 303 ] simplifiying candidate # 101.289 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 101.289 * * [simplify]: iters left: 6 (9 enodes) 101.292 * * [simplify]: iters left: 5 (33 enodes) 101.298 * * [simplify]: iters left: 4 (43 enodes) 101.306 * * [simplify]: iters left: 3 (45 enodes) 101.315 * * [simplify]: Extracting #0: cost 1 inf + 0 101.315 * * [simplify]: Extracting #1: cost 8 inf + 0 101.315 * * [simplify]: Extracting #2: cost 16 inf + 0 101.316 * * [simplify]: Extracting #3: cost 16 inf + 284 101.316 * * [simplify]: Extracting #4: cost 11 inf + 610 101.316 * * [simplify]: Extracting #5: cost 8 inf + 775 101.316 * * [simplify]: Extracting #6: cost 0 inf + 2197 101.317 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 101.317 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.317 * * * * [progress]: [ 116 / 303 ] simplifiying candidate # 101.317 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 101.317 * * [simplify]: iters left: 6 (8 enodes) 101.320 * * [simplify]: iters left: 5 (30 enodes) 101.325 * * [simplify]: iters left: 4 (40 enodes) 101.336 * * [simplify]: iters left: 3 (42 enodes) 101.348 * * [simplify]: Extracting #0: cost 1 inf + 0 101.348 * * [simplify]: Extracting #1: cost 8 inf + 0 101.349 * * [simplify]: Extracting #2: cost 12 inf + 82 101.349 * * [simplify]: Extracting #3: cost 13 inf + 405 101.349 * * [simplify]: Extracting #4: cost 12 inf + 407 101.349 * * [simplify]: Extracting #5: cost 5 inf + 1223 101.350 * * [simplify]: Extracting #6: cost 0 inf + 1875 101.351 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 101.351 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.351 * * * * [progress]: [ 117 / 303 ] simplifiying candidate # 101.351 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 101.351 * * [simplify]: iters left: 6 (9 enodes) 101.356 * * [simplify]: iters left: 5 (33 enodes) 101.362 * * [simplify]: iters left: 4 (43 enodes) 101.369 * * [simplify]: iters left: 3 (45 enodes) 101.376 * * [simplify]: Extracting #0: cost 1 inf + 0 101.376 * * [simplify]: Extracting #1: cost 8 inf + 0 101.376 * * [simplify]: Extracting #2: cost 16 inf + 0 101.376 * * [simplify]: Extracting #3: cost 16 inf + 284 101.377 * * [simplify]: Extracting #4: cost 11 inf + 610 101.377 * * [simplify]: Extracting #5: cost 8 inf + 775 101.377 * * [simplify]: Extracting #6: cost 0 inf + 2197 101.377 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 101.377 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.378 * * * * [progress]: [ 118 / 303 ] simplifiying candidate # 101.378 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 101.378 * * [simplify]: iters left: 6 (8 enodes) 101.381 * * [simplify]: iters left: 5 (30 enodes) 101.389 * * [simplify]: iters left: 4 (35 enodes) 101.401 * * [simplify]: Extracting #0: cost 1 inf + 0 101.401 * * [simplify]: Extracting #1: cost 6 inf + 0 101.401 * * [simplify]: Extracting #2: cost 8 inf + 42 101.401 * * [simplify]: Extracting #3: cost 11 inf + 83 101.401 * * [simplify]: Extracting #4: cost 10 inf + 85 101.401 * * [simplify]: Extracting #5: cost 4 inf + 538 101.402 * * [simplify]: Extracting #6: cost 0 inf + 987 101.402 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 101.402 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.402 * * * * [progress]: [ 119 / 303 ] simplifiying candidate # 101.403 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 101.403 * * [simplify]: iters left: 6 (8 enodes) 101.408 * * [simplify]: iters left: 5 (30 enodes) 101.418 * * [simplify]: iters left: 4 (40 enodes) 101.430 * * [simplify]: iters left: 3 (42 enodes) 101.445 * * [simplify]: Extracting #0: cost 1 inf + 0 101.445 * * [simplify]: Extracting #1: cost 8 inf + 0 101.445 * * [simplify]: Extracting #2: cost 12 inf + 42 101.445 * * [simplify]: Extracting #3: cost 13 inf + 245 101.445 * * [simplify]: Extracting #4: cost 12 inf + 247 101.446 * * [simplify]: Extracting #5: cost 5 inf + 983 101.446 * * [simplify]: Extracting #6: cost 0 inf + 1555 101.447 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 101.447 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.447 * * * * [progress]: [ 120 / 303 ] simplifiying candidate # 101.448 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 101.448 * * [simplify]: iters left: 6 (8 enodes) 101.453 * * [simplify]: iters left: 5 (30 enodes) 101.463 * * [simplify]: iters left: 4 (40 enodes) 101.475 * * [simplify]: iters left: 3 (42 enodes) 101.488 * * [simplify]: Extracting #0: cost 1 inf + 0 101.488 * * [simplify]: Extracting #1: cost 8 inf + 0 101.488 * * [simplify]: Extracting #2: cost 11 inf + 203 101.488 * * [simplify]: Extracting #3: cost 13 inf + 405 101.488 * * [simplify]: Extracting #4: cost 12 inf + 407 101.489 * * [simplify]: Extracting #5: cost 3 inf + 1549 101.489 * * [simplify]: Extracting #6: cost 0 inf + 1875 101.490 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 101.490 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.490 * * * * [progress]: [ 121 / 303 ] simplifiying candidate # 101.490 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 101.491 * * [simplify]: iters left: 6 (8 enodes) 101.495 * * [simplify]: iters left: 5 (30 enodes) 101.506 * * [simplify]: iters left: 4 (40 enodes) 101.518 * * [simplify]: iters left: 3 (42 enodes) 101.529 * * [simplify]: Extracting #0: cost 1 inf + 0 101.529 * * [simplify]: Extracting #1: cost 8 inf + 0 101.529 * * [simplify]: Extracting #2: cost 11 inf + 123 101.529 * * [simplify]: Extracting #3: cost 13 inf + 245 101.529 * * [simplify]: Extracting #4: cost 12 inf + 247 101.529 * * [simplify]: Extracting #5: cost 3 inf + 1269 101.529 * * [simplify]: Extracting #6: cost 0 inf + 1555 101.530 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 101.530 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.530 * * * * [progress]: [ 122 / 303 ] simplifiying candidate # 101.530 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 101.530 * * [simplify]: iters left: 6 (7 enodes) 101.533 * * [simplify]: iters left: 5 (28 enodes) 101.537 * * [simplify]: iters left: 4 (35 enodes) 101.543 * * [simplify]: Extracting #0: cost 1 inf + 0 101.543 * * [simplify]: Extracting #1: cost 6 inf + 0 101.543 * * [simplify]: Extracting #2: cost 7 inf + 2 101.543 * * [simplify]: Extracting #3: cost 11 inf + 2 101.543 * * [simplify]: Extracting #4: cost 9 inf + 45 101.543 * * [simplify]: Extracting #5: cost 4 inf + 375 101.543 * * [simplify]: Extracting #6: cost 0 inf + 826 101.543 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 101.543 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.544 * * * * [progress]: [ 123 / 303 ] simplifiying candidate # 101.544 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 101.544 * * [simplify]: iters left: 6 (7 enodes) 101.546 * * [simplify]: iters left: 5 (30 enodes) 101.552 * * [simplify]: iters left: 4 (49 enodes) 101.565 * * [simplify]: iters left: 3 (59 enodes) 101.586 * * [simplify]: iters left: 2 (64 enodes) 101.604 * * [simplify]: Extracting #0: cost 1 inf + 0 101.604 * * [simplify]: Extracting #1: cost 9 inf + 0 101.604 * * [simplify]: Extracting #2: cost 23 inf + 0 101.604 * * [simplify]: Extracting #3: cost 24 inf + 3 101.604 * * [simplify]: Extracting #4: cost 15 inf + 980 101.605 * * [simplify]: Extracting #5: cost 1 inf + 3007 101.606 * * [simplify]: Extracting #6: cost 0 inf + 3169 101.607 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 101.607 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.607 * * * * [progress]: [ 124 / 303 ] simplifiying candidate # 101.608 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 101.608 * * [simplify]: iters left: 6 (8 enodes) 101.613 * * [simplify]: iters left: 5 (33 enodes) 101.625 * * [simplify]: iters left: 4 (55 enodes) 101.642 * * [simplify]: iters left: 3 (72 enodes) 101.664 * * [simplify]: iters left: 2 (84 enodes) 101.677 * * [simplify]: iters left: 1 (88 enodes) 101.689 * * [simplify]: Extracting #0: cost 1 inf + 0 101.689 * * [simplify]: Extracting #1: cost 11 inf + 0 101.689 * * [simplify]: Extracting #2: cost 30 inf + 0 101.690 * * [simplify]: Extracting #3: cost 33 inf + 84 101.690 * * [simplify]: Extracting #4: cost 12 inf + 2402 101.691 * * [simplify]: Extracting #5: cost 0 inf + 4469 101.691 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 101.691 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.692 * * * * [progress]: [ 125 / 303 ] simplifiying candidate # 101.692 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 101.692 * * [simplify]: iters left: 6 (7 enodes) 101.695 * * [simplify]: iters left: 5 (30 enodes) 101.707 * * [simplify]: iters left: 4 (52 enodes) 101.725 * * [simplify]: iters left: 3 (70 enodes) 101.744 * * [simplify]: iters left: 2 (81 enodes) 101.756 * * [simplify]: iters left: 1 (84 enodes) 101.768 * * [simplify]: Extracting #0: cost 1 inf + 0 101.768 * * [simplify]: Extracting #1: cost 11 inf + 0 101.768 * * [simplify]: Extracting #2: cost 25 inf + 203 101.768 * * [simplify]: Extracting #3: cost 25 inf + 530 101.769 * * [simplify]: Extracting #4: cost 4 inf + 2936 101.769 * * [simplify]: Extracting #5: cost 0 inf + 3504 101.770 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 101.770 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.770 * * * * [progress]: [ 126 / 303 ] simplifiying candidate # 101.770 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 101.770 * * [simplify]: iters left: 6 (8 enodes) 101.776 * * [simplify]: iters left: 5 (33 enodes) 101.789 * * [simplify]: iters left: 4 (55 enodes) 101.806 * * [simplify]: iters left: 3 (72 enodes) 101.817 * * [simplify]: iters left: 2 (84 enodes) 101.831 * * [simplify]: iters left: 1 (88 enodes) 101.846 * * [simplify]: Extracting #0: cost 1 inf + 0 101.846 * * [simplify]: Extracting #1: cost 11 inf + 0 101.846 * * [simplify]: Extracting #2: cost 30 inf + 0 101.847 * * [simplify]: Extracting #3: cost 33 inf + 44 101.847 * * [simplify]: Extracting #4: cost 12 inf + 2362 101.848 * * [simplify]: Extracting #5: cost 0 inf + 4469 101.850 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 101.850 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.850 * * * * [progress]: [ 127 / 303 ] simplifiying candidate # 101.851 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 101.851 * * [simplify]: iters left: 6 (7 enodes) 101.855 * * [simplify]: iters left: 5 (30 enodes) 101.866 * * [simplify]: iters left: 4 (48 enodes) 101.881 * * [simplify]: iters left: 3 (56 enodes) 101.896 * * [simplify]: Extracting #0: cost 1 inf + 0 101.897 * * [simplify]: Extracting #1: cost 8 inf + 0 101.897 * * [simplify]: Extracting #2: cost 15 inf + 43 101.897 * * [simplify]: Extracting #3: cost 16 inf + 86 101.897 * * [simplify]: Extracting #4: cost 5 inf + 911 101.898 * * [simplify]: Extracting #5: cost 1 inf + 1198 101.898 * * [simplify]: Extracting #6: cost 0 inf + 1320 101.899 * [simplify]: Simplified to (/ (- 1 k) 2) 101.899 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.900 * * * * [progress]: [ 128 / 303 ] simplifiying candidate # 101.900 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 101.900 * * [simplify]: iters left: 6 (7 enodes) 101.905 * * [simplify]: iters left: 5 (30 enodes) 101.916 * * [simplify]: iters left: 4 (52 enodes) 101.930 * * [simplify]: iters left: 3 (70 enodes) 101.941 * * [simplify]: iters left: 2 (81 enodes) 101.955 * * [simplify]: iters left: 1 (84 enodes) 101.973 * * [simplify]: Extracting #0: cost 1 inf + 0 101.974 * * [simplify]: Extracting #1: cost 11 inf + 0 101.974 * * [simplify]: Extracting #2: cost 25 inf + 123 101.974 * * [simplify]: Extracting #3: cost 25 inf + 330 101.975 * * [simplify]: Extracting #4: cost 4 inf + 2256 101.976 * * [simplify]: Extracting #5: cost 0 inf + 2704 101.977 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 101.977 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.978 * * * * [progress]: [ 129 / 303 ] simplifiying candidate # 101.978 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 101.978 * * [simplify]: iters left: 6 (7 enodes) 101.983 * * [simplify]: iters left: 5 (31 enodes) 101.994 * * [simplify]: iters left: 4 (51 enodes) 102.012 * * [simplify]: iters left: 3 (64 enodes) 102.031 * * [simplify]: iters left: 2 (77 enodes) 102.053 * * [simplify]: iters left: 1 (84 enodes) 102.076 * * [simplify]: Extracting #0: cost 1 inf + 0 102.076 * * [simplify]: Extracting #1: cost 11 inf + 0 102.076 * * [simplify]: Extracting #2: cost 26 inf + 82 102.076 * * [simplify]: Extracting #3: cost 24 inf + 692 102.077 * * [simplify]: Extracting #4: cost 3 inf + 3057 102.078 * * [simplify]: Extracting #5: cost 0 inf + 3504 102.080 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 102.080 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.080 * * * * [progress]: [ 130 / 303 ] simplifiying candidate # 102.080 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 102.081 * * [simplify]: iters left: 6 (7 enodes) 102.088 * * [simplify]: iters left: 5 (31 enodes) 102.099 * * [simplify]: iters left: 4 (51 enodes) 102.115 * * [simplify]: iters left: 3 (64 enodes) 102.134 * * [simplify]: iters left: 2 (77 enodes) 102.156 * * [simplify]: iters left: 1 (84 enodes) 102.178 * * [simplify]: Extracting #0: cost 1 inf + 0 102.178 * * [simplify]: Extracting #1: cost 11 inf + 0 102.179 * * [simplify]: Extracting #2: cost 26 inf + 42 102.179 * * [simplify]: Extracting #3: cost 24 inf + 452 102.180 * * [simplify]: Extracting #4: cost 3 inf + 2337 102.181 * * [simplify]: Extracting #5: cost 0 inf + 2704 102.182 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 102.182 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.183 * * * * [progress]: [ 131 / 303 ] simplifiying candidate # 102.183 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 102.183 * * [simplify]: iters left: 6 (6 enodes) 102.188 * * [simplify]: iters left: 5 (29 enodes) 102.194 * * [simplify]: iters left: 4 (44 enodes) 102.202 * * [simplify]: iters left: 3 (50 enodes) 102.210 * * [simplify]: iters left: 2 (57 enodes) 102.222 * * [simplify]: Extracting #0: cost 1 inf + 0 102.223 * * [simplify]: Extracting #1: cost 9 inf + 0 102.223 * * [simplify]: Extracting #2: cost 15 inf + 3 102.223 * * [simplify]: Extracting #3: cost 11 inf + 131 102.223 * * [simplify]: Extracting #4: cost 2 inf + 711 102.224 * * [simplify]: Extracting #5: cost 0 inf + 836 102.224 * [simplify]: Simplified to (- 1/4 (/ k 4)) 102.224 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.224 * * * * [progress]: [ 132 / 303 ] simplifiying candidate # 102.225 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 102.225 * * [simplify]: iters left: 6 (9 enodes) 102.231 * * [simplify]: iters left: 5 (36 enodes) 102.242 * * [simplify]: iters left: 4 (58 enodes) 102.260 * * [simplify]: iters left: 3 (71 enodes) 102.280 * * [simplify]: iters left: 2 (79 enodes) 102.301 * * [simplify]: iters left: 1 (80 enodes) 102.322 * * [simplify]: Extracting #0: cost 1 inf + 0 102.322 * * [simplify]: Extracting #1: cost 9 inf + 0 102.322 * * [simplify]: Extracting #2: cost 24 inf + 0 102.322 * * [simplify]: Extracting #3: cost 29 inf + 2 102.323 * * [simplify]: Extracting #4: cost 10 inf + 2233 102.324 * * [simplify]: Extracting #5: cost 1 inf + 4013 102.325 * * [simplify]: Extracting #6: cost 0 inf + 4135 102.326 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 102.326 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.327 * * * * [progress]: [ 133 / 303 ] simplifiying candidate # 102.327 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 102.327 * * [simplify]: iters left: 6 (10 enodes) 102.334 * * [simplify]: iters left: 5 (39 enodes) 102.347 * * [simplify]: iters left: 4 (64 enodes) 102.366 * * [simplify]: iters left: 3 (86 enodes) 102.390 * * [simplify]: iters left: 2 (99 enodes) 102.404 * * [simplify]: iters left: 1 (104 enodes) 102.417 * * [simplify]: Extracting #0: cost 1 inf + 0 102.417 * * [simplify]: Extracting #1: cost 11 inf + 0 102.418 * * [simplify]: Extracting #2: cost 31 inf + 0 102.418 * * [simplify]: Extracting #3: cost 39 inf + 2 102.418 * * [simplify]: Extracting #4: cost 22 inf + 1871 102.419 * * [simplify]: Extracting #5: cost 4 inf + 4865 102.420 * * [simplify]: Extracting #6: cost 0 inf + 5675 102.421 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 102.421 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.421 * * * * [progress]: [ 134 / 303 ] simplifiying candidate # 102.421 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 102.421 * * [simplify]: iters left: 6 (9 enodes) 102.424 * * [simplify]: iters left: 5 (36 enodes) 102.431 * * [simplify]: iters left: 4 (61 enodes) 102.440 * * [simplify]: iters left: 3 (84 enodes) 102.458 * * [simplify]: iters left: 2 (96 enodes) 102.485 * * [simplify]: iters left: 1 (100 enodes) 102.511 * * [simplify]: Extracting #0: cost 1 inf + 0 102.511 * * [simplify]: Extracting #1: cost 11 inf + 0 102.511 * * [simplify]: Extracting #2: cost 27 inf + 82 102.511 * * [simplify]: Extracting #3: cost 29 inf + 651 102.512 * * [simplify]: Extracting #4: cost 12 inf + 2763 102.513 * * [simplify]: Extracting #5: cost 1 inf + 4587 102.515 * * [simplify]: Extracting #6: cost 0 inf + 4710 102.517 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 102.517 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.517 * * * * [progress]: [ 135 / 303 ] simplifiying candidate # 102.517 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 102.517 * * [simplify]: iters left: 6 (10 enodes) 102.524 * * [simplify]: iters left: 5 (39 enodes) 102.538 * * [simplify]: iters left: 4 (64 enodes) 102.557 * * [simplify]: iters left: 3 (86 enodes) 102.579 * * [simplify]: iters left: 2 (99 enodes) 102.593 * * [simplify]: iters left: 1 (104 enodes) 102.608 * * [simplify]: Extracting #0: cost 1 inf + 0 102.608 * * [simplify]: Extracting #1: cost 11 inf + 0 102.608 * * [simplify]: Extracting #2: cost 31 inf + 0 102.608 * * [simplify]: Extracting #3: cost 39 inf + 2 102.609 * * [simplify]: Extracting #4: cost 22 inf + 1831 102.609 * * [simplify]: Extracting #5: cost 4 inf + 4785 102.610 * * [simplify]: Extracting #6: cost 0 inf + 5595 102.611 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 102.611 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.611 * * * * [progress]: [ 136 / 303 ] simplifiying candidate # 102.612 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 102.612 * * [simplify]: iters left: 6 (9 enodes) 102.615 * * [simplify]: iters left: 5 (36 enodes) 102.622 * * [simplify]: iters left: 4 (57 enodes) 102.631 * * [simplify]: iters left: 3 (73 enodes) 102.641 * * [simplify]: iters left: 2 (80 enodes) 102.652 * * [simplify]: iters left: 1 (81 enodes) 102.662 * * [simplify]: Extracting #0: cost 1 inf + 0 102.662 * * [simplify]: Extracting #1: cost 9 inf + 0 102.662 * * [simplify]: Extracting #2: cost 18 inf + 43 102.662 * * [simplify]: Extracting #3: cost 23 inf + 85 102.662 * * [simplify]: Extracting #4: cost 9 inf + 1271 102.663 * * [simplify]: Extracting #5: cost 0 inf + 2370 102.663 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 102.663 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.663 * * * * [progress]: [ 137 / 303 ] simplifiying candidate # 102.664 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 102.664 * * [simplify]: iters left: 6 (9 enodes) 102.667 * * [simplify]: iters left: 5 (36 enodes) 102.674 * * [simplify]: iters left: 4 (61 enodes) 102.684 * * [simplify]: iters left: 3 (84 enodes) 102.698 * * [simplify]: iters left: 2 (96 enodes) 102.710 * * [simplify]: iters left: 1 (100 enodes) 102.736 * * [simplify]: Extracting #0: cost 1 inf + 0 102.736 * * [simplify]: Extracting #1: cost 11 inf + 0 102.736 * * [simplify]: Extracting #2: cost 27 inf + 42 102.736 * * [simplify]: Extracting #3: cost 29 inf + 411 102.737 * * [simplify]: Extracting #4: cost 12 inf + 2163 102.738 * * [simplify]: Extracting #5: cost 1 inf + 3707 102.739 * * [simplify]: Extracting #6: cost 0 inf + 3830 102.740 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 102.740 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.740 * * * * [progress]: [ 138 / 303 ] simplifiying candidate # 102.740 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 102.740 * * [simplify]: iters left: 6 (9 enodes) 102.744 * * [simplify]: iters left: 5 (36 enodes) 102.751 * * [simplify]: iters left: 4 (62 enodes) 102.761 * * [simplify]: iters left: 3 (78 enodes) 102.773 * * [simplify]: iters left: 2 (90 enodes) 102.800 * * [simplify]: iters left: 1 (94 enodes) 102.823 * * [simplify]: Extracting #0: cost 1 inf + 0 102.823 * * [simplify]: Extracting #1: cost 11 inf + 0 102.824 * * [simplify]: Extracting #2: cost 27 inf + 1 102.824 * * [simplify]: Extracting #3: cost 29 inf + 409 102.824 * * [simplify]: Extracting #4: cost 12 inf + 2359 102.825 * * [simplify]: Extracting #5: cost 2 inf + 4022 102.825 * * [simplify]: Extracting #6: cost 0 inf + 4466 102.826 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 102.826 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.826 * * * * [progress]: [ 139 / 303 ] simplifiying candidate # 102.826 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 102.827 * * [simplify]: iters left: 6 (9 enodes) 102.830 * * [simplify]: iters left: 5 (36 enodes) 102.837 * * [simplify]: iters left: 4 (62 enodes) 102.848 * * [simplify]: iters left: 3 (78 enodes) 102.862 * * [simplify]: iters left: 2 (90 enodes) 102.886 * * [simplify]: iters left: 1 (94 enodes) 102.911 * * [simplify]: Extracting #0: cost 1 inf + 0 102.911 * * [simplify]: Extracting #1: cost 11 inf + 0 102.911 * * [simplify]: Extracting #2: cost 27 inf + 1 102.911 * * [simplify]: Extracting #3: cost 29 inf + 249 102.912 * * [simplify]: Extracting #4: cost 12 inf + 1879 102.913 * * [simplify]: Extracting #5: cost 2 inf + 3302 102.914 * * [simplify]: Extracting #6: cost 0 inf + 3666 102.918 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 102.918 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.919 * * * * [progress]: [ 140 / 303 ] simplifiying candidate # 102.919 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 102.919 * * [simplify]: iters left: 6 (8 enodes) 102.925 * * [simplify]: iters left: 5 (34 enodes) 102.938 * * [simplify]: iters left: 4 (58 enodes) 102.948 * * [simplify]: iters left: 3 (65 enodes) 102.957 * * [simplify]: Extracting #0: cost 1 inf + 0 102.957 * * [simplify]: Extracting #1: cost 8 inf + 0 102.957 * * [simplify]: Extracting #2: cost 14 inf + 3 102.957 * * [simplify]: Extracting #3: cost 17 inf + 5 102.957 * * [simplify]: Extracting #4: cost 12 inf + 292 102.957 * * [simplify]: Extracting #5: cost 1 inf + 1355 102.958 * * [simplify]: Extracting #6: cost 0 inf + 1478 102.958 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 102.958 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.958 * * * * [progress]: [ 141 / 303 ] simplifiying candidate # 102.958 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 102.958 * * [simplify]: iters left: 6 (8 enodes) 102.961 * * [simplify]: iters left: 5 (33 enodes) 102.967 * * [simplify]: iters left: 4 (52 enodes) 102.980 * * [simplify]: iters left: 3 (62 enodes) 102.998 * * [simplify]: iters left: 2 (67 enodes) 103.017 * * [simplify]: Extracting #0: cost 1 inf + 0 103.017 * * [simplify]: Extracting #1: cost 9 inf + 0 103.017 * * [simplify]: Extracting #2: cost 23 inf + 0 103.017 * * [simplify]: Extracting #3: cost 24 inf + 285 103.017 * * [simplify]: Extracting #4: cost 18 inf + 975 103.018 * * [simplify]: Extracting #5: cost 7 inf + 2516 103.019 * * [simplify]: Extracting #6: cost 0 inf + 3891 103.021 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 103.021 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.021 * * * * [progress]: [ 142 / 303 ] simplifiying candidate # 103.021 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 103.021 * * [simplify]: iters left: 6 (9 enodes) 103.027 * * [simplify]: iters left: 5 (36 enodes) 103.039 * * [simplify]: iters left: 4 (58 enodes) 103.061 * * [simplify]: iters left: 3 (75 enodes) 103.083 * * [simplify]: iters left: 2 (87 enodes) 103.108 * * [simplify]: iters left: 1 (91 enodes) 103.132 * * [simplify]: Extracting #0: cost 1 inf + 0 103.132 * * [simplify]: Extracting #1: cost 11 inf + 0 103.132 * * [simplify]: Extracting #2: cost 30 inf + 0 103.133 * * [simplify]: Extracting #3: cost 36 inf + 83 103.133 * * [simplify]: Extracting #4: cost 30 inf + 451 103.134 * * [simplify]: Extracting #5: cost 10 inf + 3649 103.136 * * [simplify]: Extracting #6: cost 0 inf + 5431 103.138 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 103.138 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.138 * * * * [progress]: [ 143 / 303 ] simplifiying candidate # 103.138 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 103.138 * * [simplify]: iters left: 6 (8 enodes) 103.144 * * [simplify]: iters left: 5 (33 enodes) 103.155 * * [simplify]: iters left: 4 (55 enodes) 103.173 * * [simplify]: iters left: 3 (73 enodes) 103.191 * * [simplify]: iters left: 2 (84 enodes) 103.205 * * [simplify]: iters left: 1 (87 enodes) 103.217 * * [simplify]: Extracting #0: cost 1 inf + 0 103.217 * * [simplify]: Extracting #1: cost 11 inf + 0 103.217 * * [simplify]: Extracting #2: cost 25 inf + 203 103.217 * * [simplify]: Extracting #3: cost 29 inf + 407 103.218 * * [simplify]: Extracting #4: cost 24 inf + 896 103.218 * * [simplify]: Extracting #5: cost 9 inf + 2805 103.219 * * [simplify]: Extracting #6: cost 0 inf + 4466 103.221 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 103.221 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.221 * * * * [progress]: [ 144 / 303 ] simplifiying candidate # 103.221 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 103.222 * * [simplify]: iters left: 6 (9 enodes) 103.227 * * [simplify]: iters left: 5 (36 enodes) 103.240 * * [simplify]: iters left: 4 (58 enodes) 103.259 * * [simplify]: iters left: 3 (75 enodes) 103.272 * * [simplify]: iters left: 2 (87 enodes) 103.287 * * [simplify]: iters left: 1 (91 enodes) 103.307 * * [simplify]: Extracting #0: cost 1 inf + 0 103.307 * * [simplify]: Extracting #1: cost 11 inf + 0 103.307 * * [simplify]: Extracting #2: cost 30 inf + 0 103.307 * * [simplify]: Extracting #3: cost 36 inf + 43 103.308 * * [simplify]: Extracting #4: cost 30 inf + 451 103.308 * * [simplify]: Extracting #5: cost 10 inf + 3769 103.309 * * [simplify]: Extracting #6: cost 0 inf + 5431 103.310 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 103.310 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.310 * * * * [progress]: [ 145 / 303 ] simplifiying candidate # 103.311 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 103.311 * * [simplify]: iters left: 6 (8 enodes) 103.313 * * [simplify]: iters left: 5 (33 enodes) 103.320 * * [simplify]: iters left: 4 (51 enodes) 103.329 * * [simplify]: iters left: 3 (59 enodes) 103.337 * * [simplify]: Extracting #0: cost 1 inf + 0 103.337 * * [simplify]: Extracting #1: cost 8 inf + 0 103.337 * * [simplify]: Extracting #2: cost 15 inf + 43 103.337 * * [simplify]: Extracting #3: cost 19 inf + 85 103.337 * * [simplify]: Extracting #4: cost 16 inf + 250 103.337 * * [simplify]: Extracting #5: cost 5 inf + 1311 103.338 * * [simplify]: Extracting #6: cost 0 inf + 1962 103.338 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 103.338 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.339 * * * * [progress]: [ 146 / 303 ] simplifiying candidate # 103.339 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 103.339 * * [simplify]: iters left: 6 (8 enodes) 103.344 * * [simplify]: iters left: 5 (33 enodes) 103.355 * * [simplify]: iters left: 4 (55 enodes) 103.373 * * [simplify]: iters left: 3 (73 enodes) 103.394 * * [simplify]: iters left: 2 (84 enodes) 103.408 * * [simplify]: iters left: 1 (87 enodes) 103.422 * * [simplify]: Extracting #0: cost 1 inf + 0 103.422 * * [simplify]: Extracting #1: cost 11 inf + 0 103.422 * * [simplify]: Extracting #2: cost 25 inf + 123 103.422 * * [simplify]: Extracting #3: cost 29 inf + 247 103.422 * * [simplify]: Extracting #4: cost 24 inf + 576 103.422 * * [simplify]: Extracting #5: cost 9 inf + 2245 103.423 * * [simplify]: Extracting #6: cost 0 inf + 3666 103.424 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 103.424 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.424 * * * * [progress]: [ 147 / 303 ] simplifiying candidate # 103.424 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 103.424 * * [simplify]: iters left: 6 (8 enodes) 103.427 * * [simplify]: iters left: 5 (34 enodes) 103.434 * * [simplify]: iters left: 4 (54 enodes) 103.443 * * [simplify]: iters left: 3 (67 enodes) 103.453 * * [simplify]: iters left: 2 (80 enodes) 103.465 * * [simplify]: iters left: 1 (87 enodes) 103.487 * * [simplify]: Extracting #0: cost 1 inf + 0 103.487 * * [simplify]: Extracting #1: cost 11 inf + 0 103.487 * * [simplify]: Extracting #2: cost 25 inf + 203 103.487 * * [simplify]: Extracting #3: cost 26 inf + 773 103.488 * * [simplify]: Extracting #4: cost 24 inf + 896 103.488 * * [simplify]: Extracting #5: cost 8 inf + 3127 103.490 * * [simplify]: Extracting #6: cost 0 inf + 4466 103.491 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 103.491 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.492 * * * * [progress]: [ 148 / 303 ] simplifiying candidate # 103.492 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 103.492 * * [simplify]: iters left: 6 (8 enodes) 103.498 * * [simplify]: iters left: 5 (34 enodes) 103.510 * * [simplify]: iters left: 4 (54 enodes) 103.530 * * [simplify]: iters left: 3 (67 enodes) 103.550 * * [simplify]: iters left: 2 (80 enodes) 103.573 * * [simplify]: iters left: 1 (87 enodes) 103.597 * * [simplify]: Extracting #0: cost 1 inf + 0 103.597 * * [simplify]: Extracting #1: cost 11 inf + 0 103.597 * * [simplify]: Extracting #2: cost 25 inf + 123 103.597 * * [simplify]: Extracting #3: cost 26 inf + 493 103.598 * * [simplify]: Extracting #4: cost 24 inf + 576 103.599 * * [simplify]: Extracting #5: cost 8 inf + 2527 103.600 * * [simplify]: Extracting #6: cost 0 inf + 3666 103.601 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 103.601 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.602 * * * * [progress]: [ 149 / 303 ] simplifiying candidate # 103.602 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 103.602 * * [simplify]: iters left: 6 (7 enodes) 103.607 * * [simplify]: iters left: 5 (32 enodes) 103.619 * * [simplify]: iters left: 4 (50 enodes) 103.634 * * [simplify]: iters left: 3 (54 enodes) 103.642 * * [simplify]: Extracting #0: cost 1 inf + 0 103.642 * * [simplify]: Extracting #1: cost 8 inf + 0 103.642 * * [simplify]: Extracting #2: cost 13 inf + 3 103.642 * * [simplify]: Extracting #3: cost 15 inf + 5 103.642 * * [simplify]: Extracting #4: cost 14 inf + 6 103.642 * * [simplify]: Extracting #5: cost 4 inf + 825 103.642 * * [simplify]: Extracting #6: cost 0 inf + 1234 103.642 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 103.642 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.643 * * * * [progress]: [ 150 / 303 ] simplifiying candidate # 103.643 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 103.643 * * [simplify]: iters left: 6 (7 enodes) 103.645 * * [simplify]: iters left: 5 (30 enodes) 103.651 * * [simplify]: iters left: 4 (49 enodes) 103.659 * * [simplify]: iters left: 3 (59 enodes) 103.674 * * [simplify]: iters left: 2 (64 enodes) 103.692 * * [simplify]: Extracting #0: cost 1 inf + 0 103.692 * * [simplify]: Extracting #1: cost 9 inf + 0 103.692 * * [simplify]: Extracting #2: cost 23 inf + 0 103.693 * * [simplify]: Extracting #3: cost 24 inf + 3 103.693 * * [simplify]: Extracting #4: cost 15 inf + 980 103.694 * * [simplify]: Extracting #5: cost 1 inf + 3007 103.695 * * [simplify]: Extracting #6: cost 0 inf + 3169 103.696 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 103.696 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.696 * * * * [progress]: [ 151 / 303 ] simplifiying candidate # 103.696 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 103.696 * * [simplify]: iters left: 6 (8 enodes) 103.701 * * [simplify]: iters left: 5 (33 enodes) 103.714 * * [simplify]: iters left: 4 (55 enodes) 103.732 * * [simplify]: iters left: 3 (72 enodes) 103.753 * * [simplify]: iters left: 2 (84 enodes) 103.768 * * [simplify]: iters left: 1 (88 enodes) 103.780 * * [simplify]: Extracting #0: cost 1 inf + 0 103.780 * * [simplify]: Extracting #1: cost 11 inf + 0 103.780 * * [simplify]: Extracting #2: cost 30 inf + 0 103.781 * * [simplify]: Extracting #3: cost 33 inf + 84 103.781 * * [simplify]: Extracting #4: cost 12 inf + 2402 103.782 * * [simplify]: Extracting #5: cost 0 inf + 4469 103.782 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 103.782 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.782 * * * * [progress]: [ 152 / 303 ] simplifiying candidate # 103.783 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 103.783 * * [simplify]: iters left: 6 (7 enodes) 103.785 * * [simplify]: iters left: 5 (30 enodes) 103.797 * * [simplify]: iters left: 4 (52 enodes) 103.814 * * [simplify]: iters left: 3 (70 enodes) 103.835 * * [simplify]: iters left: 2 (81 enodes) 103.857 * * [simplify]: iters left: 1 (84 enodes) 103.879 * * [simplify]: Extracting #0: cost 1 inf + 0 103.880 * * [simplify]: Extracting #1: cost 11 inf + 0 103.880 * * [simplify]: Extracting #2: cost 25 inf + 203 103.880 * * [simplify]: Extracting #3: cost 25 inf + 530 103.881 * * [simplify]: Extracting #4: cost 4 inf + 2936 103.882 * * [simplify]: Extracting #5: cost 0 inf + 3504 103.883 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 103.883 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.884 * * * * [progress]: [ 153 / 303 ] simplifiying candidate # 103.884 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 103.884 * * [simplify]: iters left: 6 (8 enodes) 103.888 * * [simplify]: iters left: 5 (33 enodes) 103.894 * * [simplify]: iters left: 4 (55 enodes) 103.904 * * [simplify]: iters left: 3 (72 enodes) 103.917 * * [simplify]: iters left: 2 (84 enodes) 103.940 * * [simplify]: iters left: 1 (88 enodes) 103.965 * * [simplify]: Extracting #0: cost 1 inf + 0 103.965 * * [simplify]: Extracting #1: cost 11 inf + 0 103.965 * * [simplify]: Extracting #2: cost 30 inf + 0 103.965 * * [simplify]: Extracting #3: cost 33 inf + 44 103.966 * * [simplify]: Extracting #4: cost 12 inf + 2362 103.968 * * [simplify]: Extracting #5: cost 0 inf + 4469 103.969 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 103.970 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.970 * * * * [progress]: [ 154 / 303 ] simplifiying candidate # 103.970 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 103.970 * * [simplify]: iters left: 6 (7 enodes) 103.975 * * [simplify]: iters left: 5 (30 enodes) 103.986 * * [simplify]: iters left: 4 (48 enodes) 104.000 * * [simplify]: iters left: 3 (56 enodes) 104.016 * * [simplify]: Extracting #0: cost 1 inf + 0 104.016 * * [simplify]: Extracting #1: cost 8 inf + 0 104.016 * * [simplify]: Extracting #2: cost 15 inf + 43 104.016 * * [simplify]: Extracting #3: cost 16 inf + 86 104.017 * * [simplify]: Extracting #4: cost 5 inf + 911 104.017 * * [simplify]: Extracting #5: cost 1 inf + 1198 104.018 * * [simplify]: Extracting #6: cost 0 inf + 1320 104.018 * [simplify]: Simplified to (/ (- 1 k) 2) 104.018 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 104.019 * * * * [progress]: [ 155 / 303 ] simplifiying candidate # 104.019 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 104.019 * * [simplify]: iters left: 6 (7 enodes) 104.021 * * [simplify]: iters left: 5 (30 enodes) 104.027 * * [simplify]: iters left: 4 (52 enodes) 104.037 * * [simplify]: iters left: 3 (70 enodes) 104.050 * * [simplify]: iters left: 2 (81 enodes) 104.070 * * [simplify]: iters left: 1 (84 enodes) 104.081 * * [simplify]: Extracting #0: cost 1 inf + 0 104.081 * * [simplify]: Extracting #1: cost 11 inf + 0 104.081 * * [simplify]: Extracting #2: cost 25 inf + 123 104.082 * * [simplify]: Extracting #3: cost 25 inf + 330 104.082 * * [simplify]: Extracting #4: cost 4 inf + 2256 104.083 * * [simplify]: Extracting #5: cost 0 inf + 2704 104.083 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 104.083 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 104.083 * * * * [progress]: [ 156 / 303 ] simplifiying candidate # 104.083 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 104.084 * * [simplify]: iters left: 6 (7 enodes) 104.086 * * [simplify]: iters left: 5 (31 enodes) 104.092 * * [simplify]: iters left: 4 (51 enodes) 104.101 * * [simplify]: iters left: 3 (64 enodes) 104.118 * * [simplify]: iters left: 2 (77 enodes) 104.139 * * [simplify]: iters left: 1 (84 enodes) 104.162 * * [simplify]: Extracting #0: cost 1 inf + 0 104.162 * * [simplify]: Extracting #1: cost 11 inf + 0 104.162 * * [simplify]: Extracting #2: cost 26 inf + 82 104.162 * * [simplify]: Extracting #3: cost 24 inf + 692 104.163 * * [simplify]: Extracting #4: cost 3 inf + 3057 104.164 * * [simplify]: Extracting #5: cost 0 inf + 3504 104.166 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 104.166 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 104.166 * * * * [progress]: [ 157 / 303 ] simplifiying candidate # 104.166 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 104.166 * * [simplify]: iters left: 6 (7 enodes) 104.171 * * [simplify]: iters left: 5 (31 enodes) 104.177 * * [simplify]: iters left: 4 (51 enodes) 104.185 * * [simplify]: iters left: 3 (64 enodes) 104.195 * * [simplify]: iters left: 2 (77 enodes) 104.214 * * [simplify]: iters left: 1 (84 enodes) 104.237 * * [simplify]: Extracting #0: cost 1 inf + 0 104.237 * * [simplify]: Extracting #1: cost 11 inf + 0 104.237 * * [simplify]: Extracting #2: cost 26 inf + 42 104.237 * * [simplify]: Extracting #3: cost 24 inf + 452 104.238 * * [simplify]: Extracting #4: cost 3 inf + 2337 104.239 * * [simplify]: Extracting #5: cost 0 inf + 2704 104.241 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 104.241 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 104.241 * * * * [progress]: [ 158 / 303 ] simplifiying candidate # 104.241 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 104.241 * * [simplify]: iters left: 6 (6 enodes) 104.246 * * [simplify]: iters left: 5 (29 enodes) 104.257 * * [simplify]: iters left: 4 (44 enodes) 104.270 * * [simplify]: iters left: 3 (50 enodes) 104.279 * * [simplify]: iters left: 2 (57 enodes) 104.290 * * [simplify]: Extracting #0: cost 1 inf + 0 104.290 * * [simplify]: Extracting #1: cost 9 inf + 0 104.290 * * [simplify]: Extracting #2: cost 15 inf + 3 104.290 * * [simplify]: Extracting #3: cost 11 inf + 131 104.290 * * [simplify]: Extracting #4: cost 2 inf + 711 104.291 * * [simplify]: Extracting #5: cost 0 inf + 836 104.291 * [simplify]: Simplified to (- 1/4 (/ k 4)) 104.291 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 104.291 * * * * [progress]: [ 159 / 303 ] simplifiying candidate # 104.291 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 104.291 * * [simplify]: iters left: 6 (7 enodes) 104.294 * * [simplify]: iters left: 5 (31 enodes) 104.300 * * [simplify]: iters left: 4 (51 enodes) 104.310 * * [simplify]: iters left: 3 (64 enodes) 104.329 * * [simplify]: iters left: 2 (77 enodes) 104.351 * * [simplify]: iters left: 1 (84 enodes) 104.372 * * [simplify]: Extracting #0: cost 1 inf + 0 104.373 * * [simplify]: Extracting #1: cost 11 inf + 0 104.373 * * [simplify]: Extracting #2: cost 26 inf + 82 104.373 * * [simplify]: Extracting #3: cost 24 inf + 692 104.374 * * [simplify]: Extracting #4: cost 3 inf + 3057 104.374 * * [simplify]: Extracting #5: cost 0 inf + 3504 104.375 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 104.375 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 104.375 * * * * [progress]: [ 160 / 303 ] simplifiying candidate # 104.375 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 104.375 * * [simplify]: iters left: 6 (7 enodes) 104.379 * * [simplify]: iters left: 5 (31 enodes) 104.385 * * [simplify]: iters left: 4 (51 enodes) 104.394 * * [simplify]: iters left: 3 (64 enodes) 104.408 * * [simplify]: iters left: 2 (77 enodes) 104.429 * * [simplify]: iters left: 1 (84 enodes) 104.452 * * [simplify]: Extracting #0: cost 1 inf + 0 104.452 * * [simplify]: Extracting #1: cost 11 inf + 0 104.452 * * [simplify]: Extracting #2: cost 26 inf + 42 104.452 * * [simplify]: Extracting #3: cost 24 inf + 452 104.453 * * [simplify]: Extracting #4: cost 3 inf + 2337 104.454 * * [simplify]: Extracting #5: cost 0 inf + 2704 104.455 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 104.455 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 104.456 * * * * [progress]: [ 161 / 303 ] simplifiying candidate # 104.456 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 104.456 * * [simplify]: iters left: 6 (6 enodes) 104.460 * * [simplify]: iters left: 5 (29 enodes) 104.465 * * [simplify]: iters left: 4 (44 enodes) 104.472 * * [simplify]: iters left: 3 (50 enodes) 104.481 * * [simplify]: iters left: 2 (57 enodes) 104.491 * * [simplify]: Extracting #0: cost 1 inf + 0 104.491 * * [simplify]: Extracting #1: cost 9 inf + 0 104.491 * * [simplify]: Extracting #2: cost 15 inf + 3 104.491 * * [simplify]: Extracting #3: cost 11 inf + 131 104.492 * * [simplify]: Extracting #4: cost 2 inf + 711 104.492 * * [simplify]: Extracting #5: cost 0 inf + 836 104.492 * [simplify]: Simplified to (- 1/4 (/ k 4)) 104.493 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 1)) (- 1/4 (/ k 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 104.493 * * * * [progress]: [ 162 / 303 ] simplifiying candidate # 104.493 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 104.493 * * [simplify]: iters left: 4 (5 enodes) 104.497 * * [simplify]: iters left: 3 (20 enodes) 104.504 * * [simplify]: iters left: 2 (27 enodes) 104.508 * * [simplify]: iters left: 1 (29 enodes) 104.513 * * [simplify]: Extracting #0: cost 1 inf + 0 104.513 * * [simplify]: Extracting #1: cost 8 inf + 0 104.513 * * [simplify]: Extracting #2: cost 4 inf + 449 104.513 * * [simplify]: Extracting #3: cost 0 inf + 895 104.513 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 104.513 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 104.513 * * * * [progress]: [ 163 / 303 ] simplifiying candidate # 104.514 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 104.514 * * [simplify]: iters left: 4 (5 enodes) 104.519 * * [simplify]: iters left: 3 (20 enodes) 104.523 * * [simplify]: iters left: 2 (27 enodes) 104.528 * * [simplify]: iters left: 1 (29 enodes) 104.535 * * [simplify]: Extracting #0: cost 1 inf + 0 104.535 * * [simplify]: Extracting #1: cost 8 inf + 0 104.535 * * [simplify]: Extracting #2: cost 4 inf + 289 104.535 * * [simplify]: Extracting #3: cost 0 inf + 575 104.535 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 104.535 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 104.536 * * * * [progress]: [ 164 / 303 ] simplifiying candidate # 104.536 * [simplify]: Simplifying (/ (/ 1 2) 2) 104.536 * * [simplify]: iters left: 4 (4 enodes) 104.541 * * [simplify]: iters left: 3 (19 enodes) 104.547 * * [simplify]: iters left: 2 (23 enodes) 104.552 * * [simplify]: Extracting #0: cost 1 inf + 0 104.552 * * [simplify]: Extracting #1: cost 0 inf + 1 104.552 * [simplify]: Simplified to 1/4 104.552 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (- 1 k) 1)) 1/4) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 104.552 * * * * [progress]: [ 165 / 303 ] simplifiying candidate # 104.552 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 104.552 * * [simplify]: iters left: 6 (6 enodes) 104.555 * * [simplify]: iters left: 5 (29 enodes) 104.560 * * [simplify]: iters left: 4 (44 enodes) 104.567 * * [simplify]: iters left: 3 (50 enodes) 104.575 * * [simplify]: iters left: 2 (57 enodes) 104.588 * * [simplify]: Extracting #0: cost 1 inf + 0 104.588 * * [simplify]: Extracting #1: cost 9 inf + 0 104.588 * * [simplify]: Extracting #2: cost 15 inf + 3 104.589 * * [simplify]: Extracting #3: cost 11 inf + 131 104.589 * * [simplify]: Extracting #4: cost 2 inf + 711 104.589 * * [simplify]: Extracting #5: cost 0 inf + 836 104.590 * [simplify]: Simplified to (- 1/4 (/ k 4)) 104.590 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n 1) (- 1/4 (/ k 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 104.590 * * * * [progress]: [ 166 / 303 ] simplifiying candidate # 104.590 * [simplify]: Simplifying (/ 1 2) 104.591 * * [simplify]: iters left: 2 (3 enodes) 104.593 * * [simplify]: iters left: 1 (12 enodes) 104.598 * * [simplify]: Extracting #0: cost 1 inf + 0 104.598 * * [simplify]: Extracting #1: cost 0 inf + 1 104.598 * [simplify]: Simplified to 1/2 104.598 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (- 1 k) 2)) 1/2) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 104.598 * * * * [progress]: [ 167 / 303 ] simplifiying candidate # 104.598 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1 k) 2) 2)) 104.598 * * [simplify]: iters left: 6 (10 enodes) 104.605 * * [simplify]: iters left: 5 (44 enodes) 104.618 * * [simplify]: iters left: 4 (72 enodes) 104.633 * * [simplify]: iters left: 3 (122 enodes) 104.671 * * [simplify]: iters left: 2 (241 enodes) 104.746 * * [simplify]: iters left: 1 (456 enodes) 105.010 * * [simplify]: Extracting #0: cost 1 inf + 0 105.011 * * [simplify]: Extracting #1: cost 27 inf + 0 105.011 * * [simplify]: Extracting #2: cost 112 inf + 1 105.012 * * [simplify]: Extracting #3: cost 197 inf + 9 105.013 * * [simplify]: Extracting #4: cost 180 inf + 2210 105.016 * * [simplify]: Extracting #5: cost 82 inf + 17288 105.025 * * [simplify]: Extracting #6: cost 18 inf + 49662 105.038 * * [simplify]: Extracting #7: cost 0 inf + 64324 105.051 * * [simplify]: Extracting #8: cost 0 inf + 64244 105.067 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (* 1/4 (- 1 k))) 105.067 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow (* (cbrt n) (cbrt n)) (* 1/4 (- 1 k))) (pow (cbrt n) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 105.067 * * * * [progress]: [ 168 / 303 ] simplifiying candidate # 105.068 * [simplify]: Simplifying (pow (sqrt n) (/ (/ (- 1 k) 2) 2)) 105.068 * * [simplify]: iters left: 6 (9 enodes) 105.071 * * [simplify]: iters left: 5 (41 enodes) 105.079 * * [simplify]: iters left: 4 (69 enodes) 105.095 * * [simplify]: iters left: 3 (119 enodes) 105.141 * * [simplify]: iters left: 2 (241 enodes) 105.227 * * [simplify]: iters left: 1 (469 enodes) 105.458 * * [simplify]: Extracting #0: cost 1 inf + 0 105.459 * * [simplify]: Extracting #1: cost 26 inf + 0 105.459 * * [simplify]: Extracting #2: cost 118 inf + 1 105.461 * * [simplify]: Extracting #3: cost 196 inf + 93 105.463 * * [simplify]: Extracting #4: cost 191 inf + 932 105.470 * * [simplify]: Extracting #5: cost 88 inf + 13931 105.483 * * [simplify]: Extracting #6: cost 25 inf + 40231 105.504 * * [simplify]: Extracting #7: cost 1 inf + 60385 105.525 * * [simplify]: Extracting #8: cost 0 inf + 61050 105.536 * [simplify]: Simplified to (pow (sqrt n) (- 1/4 (/ k 4))) 105.536 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow (sqrt n) (- 1/4 (/ k 4))) (pow (sqrt n) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 105.536 * * * * [progress]: [ 169 / 303 ] simplifiying candidate # 105.536 * [simplify]: Simplifying (pow 1 (/ (/ (- 1 k) 2) 2)) 105.536 * * [simplify]: iters left: 6 (7 enodes) 105.539 * * [simplify]: iters left: 5 (30 enodes) 105.545 * * [simplify]: iters left: 4 (45 enodes) 105.552 * * [simplify]: iters left: 3 (51 enodes) 105.566 * * [simplify]: iters left: 2 (58 enodes) 105.585 * * [simplify]: Extracting #0: cost 1 inf + 0 105.585 * * [simplify]: Extracting #1: cost 0 inf + 1 105.586 * [simplify]: Simplified to 1 105.586 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* 1 (pow n (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 105.586 * * * * [progress]: [ 170 / 303 ] simplifiying candidate # 105.586 * * * * [progress]: [ 171 / 303 ] simplifiying candidate # 105.586 * * * * [progress]: [ 172 / 303 ] simplifiying candidate # 105.586 * * * * [progress]: [ 173 / 303 ] simplifiying candidate # 105.586 * * * * [progress]: [ 174 / 303 ] simplifiying candidate # 105.586 * * * * [progress]: [ 175 / 303 ] simplifiying candidate # 105.586 * * * * [progress]: [ 176 / 303 ] simplifiying candidate # 105.587 * * * * [progress]: [ 177 / 303 ] simplifiying candidate # 105.587 * * * * [progress]: [ 178 / 303 ] simplifiying candidate #real (real->posit16 (pow n (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))> 105.587 * * * * [progress]: [ 179 / 303 ] simplifiying candidate # 105.587 * * * * [progress]: [ 180 / 303 ] simplifiying candidate # 105.587 * * * * [progress]: [ 181 / 303 ] simplifiying candidate # 105.587 * [simplify]: Simplifying (* n (* 2 PI)) 105.587 * * [simplify]: iters left: 4 (5 enodes) 105.590 * * [simplify]: iters left: 3 (19 enodes) 105.596 * * [simplify]: iters left: 2 (27 enodes) 105.605 * * [simplify]: iters left: 1 (32 enodes) 105.613 * * [simplify]: Extracting #0: cost 1 inf + 0 105.613 * * [simplify]: Extracting #1: cost 8 inf + 0 105.613 * * [simplify]: Extracting #2: cost 7 inf + 45 105.614 * * [simplify]: Extracting #3: cost 0 inf + 421 105.614 * [simplify]: Simplified to (* (* PI 2) n) 105.614 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 105.614 * * * * [progress]: [ 182 / 303 ] simplifiying candidate # 105.615 * [simplify]: Simplifying (* n (* 2 PI)) 105.615 * * [simplify]: iters left: 4 (5 enodes) 105.618 * * [simplify]: iters left: 3 (19 enodes) 105.624 * * [simplify]: iters left: 2 (27 enodes) 105.632 * * [simplify]: iters left: 1 (32 enodes) 105.640 * * [simplify]: Extracting #0: cost 1 inf + 0 105.640 * * [simplify]: Extracting #1: cost 8 inf + 0 105.640 * * [simplify]: Extracting #2: cost 7 inf + 45 105.641 * * [simplify]: Extracting #3: cost 0 inf + 421 105.641 * [simplify]: Simplified to (* (* PI 2) n) 105.641 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 105.641 * * * * [progress]: [ 183 / 303 ] simplifiying candidate # 105.641 * * * * [progress]: [ 184 / 303 ] simplifiying candidate # 105.642 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 105.642 * * [simplify]: iters left: 5 (8 enodes) 105.646 * * [simplify]: iters left: 4 (28 enodes) 105.655 * * [simplify]: iters left: 3 (36 enodes) 105.660 * * [simplify]: iters left: 2 (42 enodes) 105.666 * * [simplify]: Extracting #0: cost 1 inf + 0 105.666 * * [simplify]: Extracting #1: cost 8 inf + 0 105.666 * * [simplify]: Extracting #2: cost 17 inf + 0 105.666 * * [simplify]: Extracting #3: cost 12 inf + 145 105.666 * * [simplify]: Extracting #4: cost 5 inf + 1197 105.666 * * [simplify]: Extracting #5: cost 1 inf + 1925 105.667 * * [simplify]: Extracting #6: cost 0 inf + 2107 105.667 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 105.667 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 105.667 * * * * [progress]: [ 185 / 303 ] simplifiying candidate # 105.667 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 105.667 * * [simplify]: iters left: 5 (7 enodes) 105.670 * * [simplify]: iters left: 4 (26 enodes) 105.674 * * [simplify]: iters left: 3 (35 enodes) 105.680 * * [simplify]: iters left: 2 (44 enodes) 105.689 * * [simplify]: Extracting #0: cost 1 inf + 0 105.690 * * [simplify]: Extracting #1: cost 8 inf + 0 105.690 * * [simplify]: Extracting #2: cost 18 inf + 0 105.690 * * [simplify]: Extracting #3: cost 15 inf + 74 105.690 * * [simplify]: Extracting #4: cost 8 inf + 554 105.691 * * [simplify]: Extracting #5: cost 0 inf + 1911 105.691 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 105.691 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 105.692 * * * * [progress]: [ 186 / 303 ] simplifiying candidate # 105.692 * * * * [progress]: [ 187 / 303 ] simplifiying candidate # 105.692 * * * * [progress]: [ 188 / 303 ] simplifiying candidate # 105.692 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 105.692 * * [simplify]: iters left: 6 (11 enodes) 105.701 * * [simplify]: iters left: 5 (48 enodes) 105.721 * * [simplify]: iters left: 4 (121 enodes) 105.780 * * [simplify]: iters left: 3 (348 enodes) 105.998 * * [simplify]: Extracting #0: cost 1 inf + 0 105.999 * * [simplify]: Extracting #1: cost 67 inf + 0 105.999 * * [simplify]: Extracting #2: cost 165 inf + 786 106.002 * * [simplify]: Extracting #3: cost 85 inf + 10177 106.010 * * [simplify]: Extracting #4: cost 9 inf + 26399 106.022 * * [simplify]: Extracting #5: cost 0 inf + 28546 106.035 * * [simplify]: Extracting #6: cost 0 inf + 28506 106.048 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 106.048 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 106.048 * * * * [progress]: [ 189 / 303 ] simplifiying candidate # 106.048 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 106.048 * * [simplify]: iters left: 6 (9 enodes) 106.054 * * [simplify]: iters left: 5 (45 enodes) 106.064 * * [simplify]: iters left: 4 (117 enodes) 106.114 * * [simplify]: iters left: 3 (374 enodes) 106.398 * * [simplify]: Extracting #0: cost 1 inf + 0 106.398 * * [simplify]: Extracting #1: cost 77 inf + 0 106.400 * * [simplify]: Extracting #2: cost 184 inf + 984 106.408 * * [simplify]: Extracting #3: cost 106 inf + 11690 106.425 * * [simplify]: Extracting #4: cost 6 inf + 30376 106.443 * * [simplify]: Extracting #5: cost 0 inf + 31644 106.462 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 106.462 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 106.462 * * * * [progress]: [ 190 / 303 ] simplifiying candidate # 106.462 * * * * [progress]: [ 191 / 303 ] simplifiying candidate # 106.462 * * * * [progress]: [ 192 / 303 ] simplifiying candidate # 106.462 * * * * [progress]: [ 193 / 303 ] simplifiying candidate # 106.462 * * * * [progress]: [ 194 / 303 ] simplifiying candidate # 106.463 * * * * [progress]: [ 195 / 303 ] simplifiying candidate # 106.463 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 106.463 * * [simplify]: iters left: 3 (3 enodes) 106.464 * * [simplify]: iters left: 2 (9 enodes) 106.465 * * [simplify]: Extracting #0: cost 1 inf + 0 106.465 * * [simplify]: Extracting #1: cost 3 inf + 0 106.465 * * [simplify]: Extracting #2: cost 5 inf + 0 106.465 * * [simplify]: Extracting #3: cost 4 inf + 1 106.465 * * [simplify]: Extracting #4: cost 0 inf + 405 106.465 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 106.465 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 106.465 * * * * [progress]: [ 196 / 303 ] simplifiying candidate # 106.465 * [simplify]: Simplifying (sqrt n) 106.465 * * [simplify]: iters left: 1 (2 enodes) 106.466 * * [simplify]: Extracting #0: cost 1 inf + 0 106.466 * * [simplify]: Extracting #1: cost 3 inf + 0 106.466 * * [simplify]: Extracting #2: cost 2 inf + 1 106.466 * * [simplify]: Extracting #3: cost 0 inf + 83 106.466 * [simplify]: Simplified to (sqrt n) 106.466 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 106.466 * * * * [progress]: [ 197 / 303 ] simplifiying candidate # 106.466 * * * * [progress]: [ 198 / 303 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))> 106.466 * * * * [progress]: [ 199 / 303 ] simplifiying candidate # 106.466 * * * * [progress]: [ 200 / 303 ] simplifiying candidate # 106.466 * * * * [progress]: [ 201 / 303 ] simplifiying candidate # 106.466 * * * * [progress]: [ 202 / 303 ] simplifiying candidate # 106.466 * [simplify]: Simplifying (* n (* (* 2 PI) (* n (* 2 PI)))) 106.467 * * [simplify]: iters left: 6 (7 enodes) 106.469 * * [simplify]: iters left: 5 (30 enodes) 106.475 * * [simplify]: iters left: 4 (74 enodes) 106.504 * * [simplify]: iters left: 3 (193 enodes) 106.600 * * [simplify]: iters left: 2 (317 enodes) 106.733 * * [simplify]: iters left: 1 (351 enodes) 106.848 * * [simplify]: Extracting #0: cost 1 inf + 0 106.848 * * [simplify]: Extracting #1: cost 27 inf + 0 106.848 * * [simplify]: Extracting #2: cost 41 inf + 210 106.849 * * [simplify]: Extracting #3: cost 11 inf + 2597 106.850 * * [simplify]: Extracting #4: cost 0 inf + 3584 106.852 * * [simplify]: Extracting #5: cost 0 inf + 3544 106.854 * [simplify]: Simplified to (* (* (* PI 2) n) (* (* PI 2) n)) 106.854 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* (* PI 2) n) (* (* PI 2) n)) (/ (/ (- 1 k) 2) 2)) (sqrt k))) 106.854 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 106.854 * * [simplify]: iters left: 6 (6 enodes) 106.857 * * [simplify]: iters left: 5 (29 enodes) 106.863 * * [simplify]: iters left: 4 (44 enodes) 106.870 * * [simplify]: iters left: 3 (50 enodes) 106.882 * * [simplify]: iters left: 2 (57 enodes) 106.898 * * [simplify]: Extracting #0: cost 1 inf + 0 106.898 * * [simplify]: Extracting #1: cost 9 inf + 0 106.899 * * [simplify]: Extracting #2: cost 15 inf + 3 106.899 * * [simplify]: Extracting #3: cost 11 inf + 131 106.899 * * [simplify]: Extracting #4: cost 2 inf + 711 106.900 * * [simplify]: Extracting #5: cost 0 inf + 836 106.900 * [simplify]: Simplified to (- 1/4 (/ k 4)) 106.900 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* (* (* PI 2) n) (* (* PI 2) n)) (- 1/4 (/ k 4))) (sqrt k))) 106.900 * * * * [progress]: [ 203 / 303 ] simplifiying candidate # 106.900 * * * * [progress]: [ 204 / 303 ] simplifiying candidate # 106.901 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 106.901 * * [simplify]: iters left: 6 (18 enodes) 106.912 * * [simplify]: iters left: 5 (86 enodes) 106.947 * * [simplify]: iters left: 4 (185 enodes) 107.000 * * [simplify]: Extracting #0: cost 1 inf + 0 107.000 * * [simplify]: Extracting #1: cost 23 inf + 0 107.001 * * [simplify]: Extracting #2: cost 99 inf + 2 107.002 * * [simplify]: Extracting #3: cost 160 inf + 217 107.005 * * [simplify]: Extracting #4: cost 110 inf + 9723 107.020 * * [simplify]: Extracting #5: cost 15 inf + 39028 107.033 * * [simplify]: Extracting #6: cost 0 inf + 44704 107.041 * [simplify]: Simplified to (* (+ (+ (log PI) (log 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 107.042 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log PI) (log 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 107.042 * * * * [progress]: [ 205 / 303 ] simplifiying candidate # 107.042 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 107.042 * * [simplify]: iters left: 6 (20 enodes) 107.049 * * [simplify]: iters left: 5 (89 enodes) 107.067 * * [simplify]: iters left: 4 (193 enodes) 107.135 * * [simplify]: Extracting #0: cost 1 inf + 0 107.135 * * [simplify]: Extracting #1: cost 22 inf + 0 107.135 * * [simplify]: Extracting #2: cost 98 inf + 2 107.136 * * [simplify]: Extracting #3: cost 155 inf + 329 107.139 * * [simplify]: Extracting #4: cost 117 inf + 6592 107.149 * * [simplify]: Extracting #5: cost 18 inf + 32105 107.164 * * [simplify]: Extracting #6: cost 0 inf + 38608 107.179 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 107.179 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))))) (sqrt k))) 107.180 * * * * [progress]: [ 206 / 303 ] simplifiying candidate # 107.180 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 107.180 * * [simplify]: iters left: 6 (20 enodes) 107.192 * * [simplify]: iters left: 5 (95 enodes) 107.227 * * [simplify]: iters left: 4 (187 enodes) 107.271 * * [simplify]: iters left: 3 (451 enodes) 107.456 * * [simplify]: Extracting #0: cost 1 inf + 0 107.456 * * [simplify]: Extracting #1: cost 51 inf + 0 107.457 * * [simplify]: Extracting #2: cost 241 inf + 2 107.467 * * [simplify]: Extracting #3: cost 304 inf + 5042 107.475 * * [simplify]: Extracting #4: cost 232 inf + 24674 107.508 * * [simplify]: Extracting #5: cost 43 inf + 86400 107.530 * * [simplify]: Extracting #6: cost 0 inf + 91515 107.558 * * [simplify]: Extracting #7: cost 0 inf + 89750 107.593 * * [simplify]: Extracting #8: cost 0 inf + 89710 107.612 * [simplify]: Simplified to (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 107.613 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 107.613 * * * * [progress]: [ 207 / 303 ] simplifiying candidate # 107.613 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 107.613 * * [simplify]: iters left: 6 (20 enodes) 107.620 * * [simplify]: iters left: 5 (95 enodes) 107.638 * * [simplify]: iters left: 4 (187 enodes) 107.697 * * [simplify]: iters left: 3 (451 enodes) 107.879 * * [simplify]: Extracting #0: cost 1 inf + 0 107.879 * * [simplify]: Extracting #1: cost 51 inf + 0 107.880 * * [simplify]: Extracting #2: cost 241 inf + 2 107.882 * * [simplify]: Extracting #3: cost 304 inf + 5042 107.886 * * [simplify]: Extracting #4: cost 232 inf + 24674 107.912 * * [simplify]: Extracting #5: cost 43 inf + 86400 107.934 * * [simplify]: Extracting #6: cost 0 inf + 91515 107.962 * * [simplify]: Extracting #7: cost 0 inf + 89750 107.986 * * [simplify]: Extracting #8: cost 0 inf + 89710 108.016 * [simplify]: Simplified to (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 108.017 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 108.017 * * * * [progress]: [ 208 / 303 ] simplifiying candidate # 108.017 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 108.017 * * [simplify]: iters left: 6 (20 enodes) 108.024 * * [simplify]: iters left: 5 (93 enodes) 108.042 * * [simplify]: iters left: 4 (191 enodes) 108.101 * * [simplify]: iters left: 3 (468 enodes) 108.289 * * [simplify]: Extracting #0: cost 1 inf + 0 108.289 * * [simplify]: Extracting #1: cost 51 inf + 0 108.291 * * [simplify]: Extracting #2: cost 252 inf + 2 108.294 * * [simplify]: Extracting #3: cost 337 inf + 778 108.298 * * [simplify]: Extracting #4: cost 307 inf + 8055 108.316 * * [simplify]: Extracting #5: cost 120 inf + 52433 108.335 * * [simplify]: Extracting #6: cost 9 inf + 87219 108.354 * * [simplify]: Extracting #7: cost 0 inf + 92110 108.383 * * [simplify]: Extracting #8: cost 0 inf + 91873 108.422 * [simplify]: Simplified to (+ (/ (- 1 k) (/ 4 (log (* n (* 2 PI))))) (/ (- 1 k) (/ 4 (log (* n (* 2 PI)))))) 108.422 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (/ (- 1 k) (/ 4 (log (* n (* 2 PI))))) (/ (- 1 k) (/ 4 (log (* n (* 2 PI))))))) (sqrt k))) 108.423 * * * * [progress]: [ 209 / 303 ] simplifiying candidate # 108.423 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 108.423 * * [simplify]: iters left: 6 (20 enodes) 108.436 * * [simplify]: iters left: 5 (91 enodes) 108.470 * * [simplify]: iters left: 4 (195 enodes) 108.550 * * [simplify]: Extracting #0: cost 1 inf + 0 108.551 * * [simplify]: Extracting #1: cost 20 inf + 0 108.551 * * [simplify]: Extracting #2: cost 93 inf + 2 108.552 * * [simplify]: Extracting #3: cost 158 inf + 258 108.554 * * [simplify]: Extracting #4: cost 137 inf + 2830 108.560 * * [simplify]: Extracting #5: cost 62 inf + 19748 108.574 * * [simplify]: Extracting #6: cost 5 inf + 37536 108.590 * * [simplify]: Extracting #7: cost 0 inf + 39590 108.606 * [simplify]: Simplified to (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (- 1/4 (/ k 4))) 108.606 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (- 1/4 (/ k 4)))) (sqrt k))) 108.607 * * * * [progress]: [ 210 / 303 ] simplifiying candidate # 108.607 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 108.607 * * [simplify]: iters left: 6 (17 enodes) 108.618 * * [simplify]: iters left: 5 (84 enodes) 108.653 * * [simplify]: iters left: 4 (174 enodes) 108.703 * * [simplify]: iters left: 3 (440 enodes) 108.941 * * [simplify]: Extracting #0: cost 1 inf + 0 108.941 * * [simplify]: Extracting #1: cost 50 inf + 0 108.941 * * [simplify]: Extracting #2: cost 237 inf + 2 108.943 * * [simplify]: Extracting #3: cost 302 inf + 2105 108.947 * * [simplify]: Extracting #4: cost 226 inf + 19653 108.968 * * [simplify]: Extracting #5: cost 45 inf + 74881 108.999 * * [simplify]: Extracting #6: cost 0 inf + 89176 109.021 * * [simplify]: Extracting #7: cost 0 inf + 88901 109.053 * [simplify]: Simplified to (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 109.054 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 109.054 * * * * [progress]: [ 211 / 303 ] simplifiying candidate # 109.054 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 109.054 * * [simplify]: iters left: 6 (18 enodes) 109.060 * * [simplify]: iters left: 5 (90 enodes) 109.083 * * [simplify]: iters left: 4 (188 enodes) 109.161 * * [simplify]: iters left: 3 (433 enodes) 109.354 * * [simplify]: Extracting #0: cost 1 inf + 0 109.355 * * [simplify]: Extracting #1: cost 47 inf + 0 109.356 * * [simplify]: Extracting #2: cost 218 inf + 2 109.358 * * [simplify]: Extracting #3: cost 292 inf + 2185 109.367 * * [simplify]: Extracting #4: cost 211 inf + 20382 109.395 * * [simplify]: Extracting #5: cost 39 inf + 65354 109.422 * * [simplify]: Extracting #6: cost 0 inf + 77523 109.440 * [simplify]: Simplified to (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4)) 109.440 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4))) (sqrt k))) 109.440 * * * * [progress]: [ 212 / 303 ] simplifiying candidate # 109.440 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 109.440 * * [simplify]: iters left: 6 (18 enodes) 109.446 * * [simplify]: iters left: 5 (90 enodes) 109.484 * * [simplify]: iters left: 4 (188 enodes) 109.532 * * [simplify]: iters left: 3 (433 enodes) 109.695 * * [simplify]: Extracting #0: cost 1 inf + 0 109.695 * * [simplify]: Extracting #1: cost 47 inf + 0 109.696 * * [simplify]: Extracting #2: cost 218 inf + 2 109.697 * * [simplify]: Extracting #3: cost 292 inf + 2185 109.702 * * [simplify]: Extracting #4: cost 211 inf + 20382 109.718 * * [simplify]: Extracting #5: cost 39 inf + 65354 109.742 * * [simplify]: Extracting #6: cost 0 inf + 77523 109.776 * [simplify]: Simplified to (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4)) 109.777 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4))) (sqrt k))) 109.777 * * * * [progress]: [ 213 / 303 ] simplifiying candidate # 109.777 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 109.777 * * [simplify]: iters left: 6 (18 enodes) 109.788 * * [simplify]: iters left: 5 (89 enodes) 109.806 * * [simplify]: iters left: 4 (185 enodes) 109.869 * * [simplify]: iters left: 3 (448 enodes) 110.047 * * [simplify]: Extracting #0: cost 1 inf + 0 110.047 * * [simplify]: Extracting #1: cost 48 inf + 0 110.049 * * [simplify]: Extracting #2: cost 255 inf + 2 110.052 * * [simplify]: Extracting #3: cost 352 inf + 483 110.058 * * [simplify]: Extracting #4: cost 282 inf + 16797 110.073 * * [simplify]: Extracting #5: cost 80 inf + 70299 110.102 * * [simplify]: Extracting #6: cost 1 inf + 93464 110.148 * * [simplify]: Extracting #7: cost 0 inf + 93682 110.169 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2)))) 110.169 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2))))) (sqrt k))) 110.169 * * * * [progress]: [ 214 / 303 ] simplifiying candidate # 110.169 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 110.169 * * [simplify]: iters left: 6 (20 enodes) 110.176 * * [simplify]: iters left: 5 (91 enodes) 110.208 * * [simplify]: iters left: 4 (195 enodes) 110.283 * * [simplify]: Extracting #0: cost 1 inf + 0 110.283 * * [simplify]: Extracting #1: cost 20 inf + 0 110.283 * * [simplify]: Extracting #2: cost 93 inf + 2 110.284 * * [simplify]: Extracting #3: cost 158 inf + 258 110.285 * * [simplify]: Extracting #4: cost 137 inf + 2830 110.288 * * [simplify]: Extracting #5: cost 62 inf + 19748 110.295 * * [simplify]: Extracting #6: cost 5 inf + 37536 110.308 * * [simplify]: Extracting #7: cost 0 inf + 39590 110.324 * [simplify]: Simplified to (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (- 1/4 (/ k 4))) 110.324 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (- 1/4 (/ k 4)))) (sqrt k))) 110.325 * * * * [progress]: [ 215 / 303 ] simplifiying candidate # 110.325 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 110.325 * * [simplify]: iters left: 6 (17 enodes) 110.339 * * [simplify]: iters left: 5 (84 enodes) 110.359 * * [simplify]: iters left: 4 (174 enodes) 110.404 * * [simplify]: iters left: 3 (440 enodes) 110.617 * * [simplify]: Extracting #0: cost 1 inf + 0 110.618 * * [simplify]: Extracting #1: cost 50 inf + 0 110.619 * * [simplify]: Extracting #2: cost 237 inf + 2 110.622 * * [simplify]: Extracting #3: cost 302 inf + 2105 110.626 * * [simplify]: Extracting #4: cost 226 inf + 19653 110.640 * * [simplify]: Extracting #5: cost 45 inf + 74881 110.671 * * [simplify]: Extracting #6: cost 0 inf + 89176 110.716 * * [simplify]: Extracting #7: cost 0 inf + 88901 110.741 * [simplify]: Simplified to (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 110.741 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 110.742 * * * * [progress]: [ 216 / 303 ] simplifiying candidate # 110.742 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 110.742 * * [simplify]: iters left: 6 (18 enodes) 110.748 * * [simplify]: iters left: 5 (90 enodes) 110.774 * * [simplify]: iters left: 4 (188 enodes) 110.828 * * [simplify]: iters left: 3 (433 enodes) 111.026 * * [simplify]: Extracting #0: cost 1 inf + 0 111.026 * * [simplify]: Extracting #1: cost 47 inf + 0 111.027 * * [simplify]: Extracting #2: cost 218 inf + 2 111.028 * * [simplify]: Extracting #3: cost 292 inf + 2185 111.033 * * [simplify]: Extracting #4: cost 211 inf + 20382 111.049 * * [simplify]: Extracting #5: cost 39 inf + 65354 111.067 * * [simplify]: Extracting #6: cost 0 inf + 77523 111.103 * [simplify]: Simplified to (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4)) 111.103 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4))) (sqrt k))) 111.103 * * * * [progress]: [ 217 / 303 ] simplifiying candidate # 111.104 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 111.104 * * [simplify]: iters left: 6 (18 enodes) 111.116 * * [simplify]: iters left: 5 (90 enodes) 111.150 * * [simplify]: iters left: 4 (188 enodes) 111.210 * * [simplify]: iters left: 3 (433 enodes) 111.359 * * [simplify]: Extracting #0: cost 1 inf + 0 111.359 * * [simplify]: Extracting #1: cost 47 inf + 0 111.360 * * [simplify]: Extracting #2: cost 218 inf + 2 111.361 * * [simplify]: Extracting #3: cost 292 inf + 2185 111.366 * * [simplify]: Extracting #4: cost 211 inf + 20382 111.379 * * [simplify]: Extracting #5: cost 39 inf + 65354 111.412 * * [simplify]: Extracting #6: cost 0 inf + 77523 111.448 * [simplify]: Simplified to (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4)) 111.448 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4))) (sqrt k))) 111.448 * * * * [progress]: [ 218 / 303 ] simplifiying candidate # 111.449 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 111.449 * * [simplify]: iters left: 6 (18 enodes) 111.460 * * [simplify]: iters left: 5 (89 enodes) 111.481 * * [simplify]: iters left: 4 (185 enodes) 111.522 * * [simplify]: iters left: 3 (448 enodes) 111.709 * * [simplify]: Extracting #0: cost 1 inf + 0 111.709 * * [simplify]: Extracting #1: cost 48 inf + 0 111.709 * * [simplify]: Extracting #2: cost 255 inf + 2 111.711 * * [simplify]: Extracting #3: cost 352 inf + 483 111.714 * * [simplify]: Extracting #4: cost 282 inf + 16797 111.727 * * [simplify]: Extracting #5: cost 80 inf + 70299 111.768 * * [simplify]: Extracting #6: cost 1 inf + 93464 111.794 * * [simplify]: Extracting #7: cost 0 inf + 93682 111.817 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2)))) 111.817 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2))))) (sqrt k))) 111.818 * * * * [progress]: [ 219 / 303 ] simplifiying candidate # 111.818 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 111.818 * * [simplify]: iters left: 6 (20 enodes) 111.830 * * [simplify]: iters left: 5 (92 enodes) 111.856 * * [simplify]: iters left: 4 (171 enodes) 111.905 * * [simplify]: iters left: 3 (427 enodes) 112.077 * * [simplify]: Extracting #0: cost 1 inf + 0 112.077 * * [simplify]: Extracting #1: cost 43 inf + 0 112.077 * * [simplify]: Extracting #2: cost 223 inf + 2 112.079 * * [simplify]: Extracting #3: cost 284 inf + 1043 112.082 * * [simplify]: Extracting #4: cost 236 inf + 15263 112.095 * * [simplify]: Extracting #5: cost 55 inf + 61521 112.135 * * [simplify]: Extracting #6: cost 2 inf + 83834 112.171 * * [simplify]: Extracting #7: cost 0 inf + 84973 112.206 * [simplify]: Simplified to (+ (* (- 1/4 (/ k 4)) (+ (log (* PI 2)) (log n))) (* (- 1/4 (/ k 4)) (+ (log (* PI 2)) (log n)))) 112.207 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (- 1/4 (/ k 4)) (+ (log (* PI 2)) (log n))) (* (- 1/4 (/ k 4)) (+ (log (* PI 2)) (log n))))) (sqrt k))) 112.207 * * * * [progress]: [ 220 / 303 ] simplifiying candidate # 112.207 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 112.207 * * [simplify]: iters left: 6 (18 enodes) 112.219 * * [simplify]: iters left: 5 (85 enodes) 112.236 * * [simplify]: iters left: 4 (173 enodes) 112.277 * * [simplify]: iters left: 3 (446 enodes) 112.475 * * [simplify]: Extracting #0: cost 1 inf + 0 112.475 * * [simplify]: Extracting #1: cost 43 inf + 0 112.476 * * [simplify]: Extracting #2: cost 258 inf + 0 112.477 * * [simplify]: Extracting #3: cost 343 inf + 1112 112.480 * * [simplify]: Extracting #4: cost 313 inf + 8473 112.489 * * [simplify]: Extracting #5: cost 140 inf + 52077 112.531 * * [simplify]: Extracting #6: cost 10 inf + 94485 112.573 * * [simplify]: Extracting #7: cost 0 inf + 98370 112.614 * [simplify]: Simplified to (+ (* (+ (log (* PI 2)) (log n)) (/ (- 1 k) 4)) (* (+ (log (* PI 2)) (log n)) (/ (- 1 k) 4))) 112.614 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (+ (log (* PI 2)) (log n)) (/ (- 1 k) 4)) (* (+ (log (* PI 2)) (log n)) (/ (- 1 k) 4)))) (sqrt k))) 112.614 * * * * [progress]: [ 221 / 303 ] simplifiying candidate # 112.615 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 112.615 * * [simplify]: iters left: 6 (18 enodes) 112.625 * * [simplify]: iters left: 5 (86 enodes) 112.657 * * [simplify]: iters left: 4 (176 enodes) 112.700 * * [simplify]: iters left: 3 (416 enodes) 112.906 * * [simplify]: Extracting #0: cost 1 inf + 0 112.906 * * [simplify]: Extracting #1: cost 43 inf + 0 112.906 * * [simplify]: Extracting #2: cost 252 inf + 2 112.908 * * [simplify]: Extracting #3: cost 338 inf + 2187 112.910 * * [simplify]: Extracting #4: cost 332 inf + 6291 112.925 * * [simplify]: Extracting #5: cost 170 inf + 43520 112.961 * * [simplify]: Extracting #6: cost 6 inf + 94446 112.998 * * [simplify]: Extracting #7: cost 0 inf + 92561 113.018 * [simplify]: Simplified to (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4))) 113.018 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)))) (sqrt k))) 113.018 * * * * [progress]: [ 222 / 303 ] simplifiying candidate # 113.018 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 113.019 * * [simplify]: iters left: 6 (18 enodes) 113.026 * * [simplify]: iters left: 5 (86 enodes) 113.059 * * [simplify]: iters left: 4 (176 enodes) 113.108 * * [simplify]: iters left: 3 (416 enodes) 113.292 * * [simplify]: Extracting #0: cost 1 inf + 0 113.293 * * [simplify]: Extracting #1: cost 43 inf + 0 113.294 * * [simplify]: Extracting #2: cost 252 inf + 2 113.297 * * [simplify]: Extracting #3: cost 338 inf + 2187 113.301 * * [simplify]: Extracting #4: cost 332 inf + 6291 113.316 * * [simplify]: Extracting #5: cost 170 inf + 43520 113.337 * * [simplify]: Extracting #6: cost 6 inf + 94446 113.369 * * [simplify]: Extracting #7: cost 0 inf + 92561 113.389 * [simplify]: Simplified to (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4))) 113.389 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)))) (sqrt k))) 113.389 * * * * [progress]: [ 223 / 303 ] simplifiying candidate # 113.389 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 113.390 * * [simplify]: iters left: 6 (18 enodes) 113.395 * * [simplify]: iters left: 5 (86 enodes) 113.419 * * [simplify]: iters left: 4 (182 enodes) 113.475 * * [simplify]: iters left: 3 (451 enodes) 113.690 * * [simplify]: Extracting #0: cost 1 inf + 0 113.690 * * [simplify]: Extracting #1: cost 49 inf + 0 113.692 * * [simplify]: Extracting #2: cost 285 inf + 2 113.695 * * [simplify]: Extracting #3: cost 402 inf + 443 113.705 * * [simplify]: Extracting #4: cost 307 inf + 25423 113.734 * * [simplify]: Extracting #5: cost 35 inf + 101416 113.768 * * [simplify]: Extracting #6: cost 2 inf + 116601 113.792 * * [simplify]: Extracting #7: cost 0 inf + 117352 113.838 * [simplify]: Simplified to (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 113.838 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 113.838 * * * * [progress]: [ 224 / 303 ] simplifiying candidate # 113.838 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 113.839 * * [simplify]: iters left: 6 (17 enodes) 113.850 * * [simplify]: iters left: 5 (80 enodes) 113.867 * * [simplify]: iters left: 4 (162 enodes) 113.911 * * [simplify]: iters left: 3 (370 enodes) 114.073 * * [simplify]: Extracting #0: cost 1 inf + 0 114.073 * * [simplify]: Extracting #1: cost 39 inf + 0 114.074 * * [simplify]: Extracting #2: cost 205 inf + 0 114.076 * * [simplify]: Extracting #3: cost 302 inf + 371 114.081 * * [simplify]: Extracting #4: cost 309 inf + 9887 114.096 * * [simplify]: Extracting #5: cost 189 inf + 46836 114.131 * * [simplify]: Extracting #6: cost 34 inf + 117714 114.176 * * [simplify]: Extracting #7: cost 0 inf + 139460 114.199 * * [simplify]: Extracting #8: cost 0 inf + 139339 114.240 * [simplify]: Simplified to (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 114.240 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 114.241 * * * * [progress]: [ 225 / 303 ] simplifiying candidate # 114.241 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 114.241 * * [simplify]: iters left: 6 (18 enodes) 114.249 * * [simplify]: iters left: 5 (86 enodes) 114.266 * * [simplify]: iters left: 4 (185 enodes) 114.329 * * [simplify]: Extracting #0: cost 1 inf + 0 114.330 * * [simplify]: Extracting #1: cost 23 inf + 0 114.330 * * [simplify]: Extracting #2: cost 99 inf + 2 114.331 * * [simplify]: Extracting #3: cost 160 inf + 217 114.332 * * [simplify]: Extracting #4: cost 110 inf + 9723 114.337 * * [simplify]: Extracting #5: cost 15 inf + 39028 114.348 * * [simplify]: Extracting #6: cost 0 inf + 44704 114.356 * [simplify]: Simplified to (* (+ (+ (log PI) (log 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 114.356 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log PI) (log 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 114.357 * * * * [progress]: [ 226 / 303 ] simplifiying candidate # 114.357 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 114.357 * * [simplify]: iters left: 6 (20 enodes) 114.367 * * [simplify]: iters left: 5 (89 enodes) 114.396 * * [simplify]: iters left: 4 (193 enodes) 114.465 * * [simplify]: Extracting #0: cost 1 inf + 0 114.465 * * [simplify]: Extracting #1: cost 22 inf + 0 114.466 * * [simplify]: Extracting #2: cost 98 inf + 2 114.467 * * [simplify]: Extracting #3: cost 155 inf + 329 114.470 * * [simplify]: Extracting #4: cost 117 inf + 6592 114.480 * * [simplify]: Extracting #5: cost 18 inf + 32105 114.495 * * [simplify]: Extracting #6: cost 0 inf + 38608 114.510 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 114.510 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))))) (sqrt k))) 114.510 * * * * [progress]: [ 227 / 303 ] simplifiying candidate # 114.511 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 114.511 * * [simplify]: iters left: 6 (20 enodes) 114.519 * * [simplify]: iters left: 5 (95 enodes) 114.537 * * [simplify]: iters left: 4 (187 enodes) 114.608 * * [simplify]: iters left: 3 (451 enodes) 114.815 * * [simplify]: Extracting #0: cost 1 inf + 0 114.815 * * [simplify]: Extracting #1: cost 51 inf + 0 114.817 * * [simplify]: Extracting #2: cost 241 inf + 2 114.820 * * [simplify]: Extracting #3: cost 304 inf + 5042 114.829 * * [simplify]: Extracting #4: cost 232 inf + 24674 114.867 * * [simplify]: Extracting #5: cost 43 inf + 86400 114.908 * * [simplify]: Extracting #6: cost 0 inf + 91515 114.931 * * [simplify]: Extracting #7: cost 0 inf + 89750 114.952 * * [simplify]: Extracting #8: cost 0 inf + 89710 114.982 * [simplify]: Simplified to (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 114.982 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 114.982 * * * * [progress]: [ 228 / 303 ] simplifiying candidate # 114.982 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 114.983 * * [simplify]: iters left: 6 (20 enodes) 114.990 * * [simplify]: iters left: 5 (95 enodes) 115.016 * * [simplify]: iters left: 4 (187 enodes) 115.069 * * [simplify]: iters left: 3 (451 enodes) 115.269 * * [simplify]: Extracting #0: cost 1 inf + 0 115.269 * * [simplify]: Extracting #1: cost 51 inf + 0 115.270 * * [simplify]: Extracting #2: cost 241 inf + 2 115.272 * * [simplify]: Extracting #3: cost 304 inf + 5042 115.276 * * [simplify]: Extracting #4: cost 232 inf + 24674 115.292 * * [simplify]: Extracting #5: cost 43 inf + 86400 115.318 * * [simplify]: Extracting #6: cost 0 inf + 91515 115.340 * * [simplify]: Extracting #7: cost 0 inf + 89750 115.369 * * [simplify]: Extracting #8: cost 0 inf + 89710 115.409 * [simplify]: Simplified to (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 115.409 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 115.409 * * * * [progress]: [ 229 / 303 ] simplifiying candidate # 115.410 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 115.410 * * [simplify]: iters left: 6 (20 enodes) 115.422 * * [simplify]: iters left: 5 (93 enodes) 115.457 * * [simplify]: iters left: 4 (191 enodes) 115.528 * * [simplify]: iters left: 3 (468 enodes) 115.698 * * [simplify]: Extracting #0: cost 1 inf + 0 115.698 * * [simplify]: Extracting #1: cost 51 inf + 0 115.699 * * [simplify]: Extracting #2: cost 252 inf + 2 115.701 * * [simplify]: Extracting #3: cost 337 inf + 778 115.703 * * [simplify]: Extracting #4: cost 307 inf + 8055 115.712 * * [simplify]: Extracting #5: cost 120 inf + 52433 115.752 * * [simplify]: Extracting #6: cost 9 inf + 87219 115.790 * * [simplify]: Extracting #7: cost 0 inf + 92110 115.811 * * [simplify]: Extracting #8: cost 0 inf + 91873 115.834 * [simplify]: Simplified to (+ (/ (- 1 k) (/ 4 (log (* n (* 2 PI))))) (/ (- 1 k) (/ 4 (log (* n (* 2 PI)))))) 115.834 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (/ (- 1 k) (/ 4 (log (* n (* 2 PI))))) (/ (- 1 k) (/ 4 (log (* n (* 2 PI))))))) (sqrt k))) 115.834 * * * * [progress]: [ 230 / 303 ] simplifiying candidate # 115.834 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 115.835 * * [simplify]: iters left: 6 (20 enodes) 115.843 * * [simplify]: iters left: 5 (91 enodes) 115.861 * * [simplify]: iters left: 4 (195 enodes) 115.955 * * [simplify]: Extracting #0: cost 1 inf + 0 115.955 * * [simplify]: Extracting #1: cost 20 inf + 0 115.956 * * [simplify]: Extracting #2: cost 93 inf + 2 115.957 * * [simplify]: Extracting #3: cost 158 inf + 258 115.958 * * [simplify]: Extracting #4: cost 137 inf + 2830 115.965 * * [simplify]: Extracting #5: cost 62 inf + 19748 115.976 * * [simplify]: Extracting #6: cost 5 inf + 37536 115.984 * * [simplify]: Extracting #7: cost 0 inf + 39590 115.992 * [simplify]: Simplified to (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (- 1/4 (/ k 4))) 115.992 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (- 1/4 (/ k 4)))) (sqrt k))) 115.993 * * * * [progress]: [ 231 / 303 ] simplifiying candidate # 115.993 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 115.993 * * [simplify]: iters left: 6 (17 enodes) 115.998 * * [simplify]: iters left: 5 (84 enodes) 116.015 * * [simplify]: iters left: 4 (174 enodes) 116.069 * * [simplify]: iters left: 3 (440 enodes) 116.255 * * [simplify]: Extracting #0: cost 1 inf + 0 116.255 * * [simplify]: Extracting #1: cost 50 inf + 0 116.256 * * [simplify]: Extracting #2: cost 237 inf + 2 116.257 * * [simplify]: Extracting #3: cost 302 inf + 2105 116.261 * * [simplify]: Extracting #4: cost 226 inf + 19653 116.289 * * [simplify]: Extracting #5: cost 45 inf + 74881 116.311 * * [simplify]: Extracting #6: cost 0 inf + 89176 116.332 * * [simplify]: Extracting #7: cost 0 inf + 88901 116.352 * [simplify]: Simplified to (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 116.352 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 116.352 * * * * [progress]: [ 232 / 303 ] simplifiying candidate # 116.352 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 116.352 * * [simplify]: iters left: 6 (18 enodes) 116.364 * * [simplify]: iters left: 5 (90 enodes) 116.397 * * [simplify]: iters left: 4 (188 enodes) 116.472 * * [simplify]: iters left: 3 (433 enodes) 116.657 * * [simplify]: Extracting #0: cost 1 inf + 0 116.658 * * [simplify]: Extracting #1: cost 47 inf + 0 116.658 * * [simplify]: Extracting #2: cost 218 inf + 2 116.660 * * [simplify]: Extracting #3: cost 292 inf + 2185 116.665 * * [simplify]: Extracting #4: cost 211 inf + 20382 116.695 * * [simplify]: Extracting #5: cost 39 inf + 65354 116.714 * * [simplify]: Extracting #6: cost 0 inf + 77523 116.737 * [simplify]: Simplified to (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4)) 116.737 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4))) (sqrt k))) 116.738 * * * * [progress]: [ 233 / 303 ] simplifiying candidate # 116.738 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 116.738 * * [simplify]: iters left: 6 (18 enodes) 116.744 * * [simplify]: iters left: 5 (90 enodes) 116.761 * * [simplify]: iters left: 4 (188 enodes) 116.809 * * [simplify]: iters left: 3 (433 enodes) 117.001 * * [simplify]: Extracting #0: cost 1 inf + 0 117.001 * * [simplify]: Extracting #1: cost 47 inf + 0 117.002 * * [simplify]: Extracting #2: cost 218 inf + 2 117.003 * * [simplify]: Extracting #3: cost 292 inf + 2185 117.008 * * [simplify]: Extracting #4: cost 211 inf + 20382 117.022 * * [simplify]: Extracting #5: cost 39 inf + 65354 117.048 * * [simplify]: Extracting #6: cost 0 inf + 77523 117.065 * [simplify]: Simplified to (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4)) 117.065 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4))) (sqrt k))) 117.065 * * * * [progress]: [ 234 / 303 ] simplifiying candidate # 117.066 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 117.066 * * [simplify]: iters left: 6 (18 enodes) 117.072 * * [simplify]: iters left: 5 (89 enodes) 117.101 * * [simplify]: iters left: 4 (185 enodes) 117.179 * * [simplify]: iters left: 3 (448 enodes) 117.394 * * [simplify]: Extracting #0: cost 1 inf + 0 117.394 * * [simplify]: Extracting #1: cost 48 inf + 0 117.395 * * [simplify]: Extracting #2: cost 255 inf + 2 117.397 * * [simplify]: Extracting #3: cost 352 inf + 483 117.400 * * [simplify]: Extracting #4: cost 282 inf + 16797 117.413 * * [simplify]: Extracting #5: cost 80 inf + 70299 117.433 * * [simplify]: Extracting #6: cost 1 inf + 93464 117.468 * * [simplify]: Extracting #7: cost 0 inf + 93682 117.503 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2)))) 117.503 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2))))) (sqrt k))) 117.503 * * * * [progress]: [ 235 / 303 ] simplifiying candidate # 117.503 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 117.503 * * [simplify]: iters left: 6 (20 enodes) 117.510 * * [simplify]: iters left: 5 (91 enodes) 117.528 * * [simplify]: iters left: 4 (195 enodes) 117.604 * * [simplify]: Extracting #0: cost 1 inf + 0 117.604 * * [simplify]: Extracting #1: cost 20 inf + 0 117.604 * * [simplify]: Extracting #2: cost 93 inf + 2 117.605 * * [simplify]: Extracting #3: cost 158 inf + 258 117.607 * * [simplify]: Extracting #4: cost 137 inf + 2830 117.613 * * [simplify]: Extracting #5: cost 62 inf + 19748 117.627 * * [simplify]: Extracting #6: cost 5 inf + 37536 117.643 * * [simplify]: Extracting #7: cost 0 inf + 39590 117.659 * [simplify]: Simplified to (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (- 1/4 (/ k 4))) 117.659 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (- 1/4 (/ k 4)))) (sqrt k))) 117.660 * * * * [progress]: [ 236 / 303 ] simplifiying candidate # 117.660 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 117.660 * * [simplify]: iters left: 6 (17 enodes) 117.670 * * [simplify]: iters left: 5 (84 enodes) 117.701 * * [simplify]: iters left: 4 (174 enodes) 117.756 * * [simplify]: iters left: 3 (440 enodes) 118.004 * * [simplify]: Extracting #0: cost 1 inf + 0 118.004 * * [simplify]: Extracting #1: cost 50 inf + 0 118.006 * * [simplify]: Extracting #2: cost 237 inf + 2 118.008 * * [simplify]: Extracting #3: cost 302 inf + 2105 118.017 * * [simplify]: Extracting #4: cost 226 inf + 19653 118.046 * * [simplify]: Extracting #5: cost 45 inf + 74881 118.087 * * [simplify]: Extracting #6: cost 0 inf + 89176 118.128 * * [simplify]: Extracting #7: cost 0 inf + 88901 118.171 * [simplify]: Simplified to (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 118.171 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 118.172 * * * * [progress]: [ 237 / 303 ] simplifiying candidate # 118.172 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 118.172 * * [simplify]: iters left: 6 (18 enodes) 118.183 * * [simplify]: iters left: 5 (90 enodes) 118.201 * * [simplify]: iters left: 4 (188 enodes) 118.258 * * [simplify]: iters left: 3 (433 enodes) 118.459 * * [simplify]: Extracting #0: cost 1 inf + 0 118.459 * * [simplify]: Extracting #1: cost 47 inf + 0 118.461 * * [simplify]: Extracting #2: cost 218 inf + 2 118.463 * * [simplify]: Extracting #3: cost 292 inf + 2185 118.472 * * [simplify]: Extracting #4: cost 211 inf + 20382 118.495 * * [simplify]: Extracting #5: cost 39 inf + 65354 118.512 * * [simplify]: Extracting #6: cost 0 inf + 77523 118.538 * [simplify]: Simplified to (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4)) 118.538 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4))) (sqrt k))) 118.539 * * * * [progress]: [ 238 / 303 ] simplifiying candidate # 118.539 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 118.539 * * [simplify]: iters left: 6 (18 enodes) 118.550 * * [simplify]: iters left: 5 (90 enodes) 118.583 * * [simplify]: iters left: 4 (188 enodes) 118.630 * * [simplify]: iters left: 3 (433 enodes) 118.886 * * [simplify]: Extracting #0: cost 1 inf + 0 118.887 * * [simplify]: Extracting #1: cost 47 inf + 0 118.888 * * [simplify]: Extracting #2: cost 218 inf + 2 118.890 * * [simplify]: Extracting #3: cost 292 inf + 2185 118.899 * * [simplify]: Extracting #4: cost 211 inf + 20382 118.927 * * [simplify]: Extracting #5: cost 39 inf + 65354 118.944 * * [simplify]: Extracting #6: cost 0 inf + 77523 118.962 * [simplify]: Simplified to (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4)) 118.962 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* n (* PI 2))) (log (* n (* PI 2)))) (/ (- 1 k) 4))) (sqrt k))) 118.963 * * * * [progress]: [ 239 / 303 ] simplifiying candidate # 118.963 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 118.963 * * [simplify]: iters left: 6 (18 enodes) 118.969 * * [simplify]: iters left: 5 (89 enodes) 118.993 * * [simplify]: iters left: 4 (185 enodes) 119.042 * * [simplify]: iters left: 3 (448 enodes) 119.236 * * [simplify]: Extracting #0: cost 1 inf + 0 119.236 * * [simplify]: Extracting #1: cost 48 inf + 0 119.238 * * [simplify]: Extracting #2: cost 255 inf + 2 119.240 * * [simplify]: Extracting #3: cost 352 inf + 483 119.246 * * [simplify]: Extracting #4: cost 282 inf + 16797 119.267 * * [simplify]: Extracting #5: cost 80 inf + 70299 119.302 * * [simplify]: Extracting #6: cost 1 inf + 93464 119.346 * * [simplify]: Extracting #7: cost 0 inf + 93682 119.371 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2)))) 119.372 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2))))) (sqrt k))) 119.372 * * * * [progress]: [ 240 / 303 ] simplifiying candidate # 119.372 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 119.372 * * [simplify]: iters left: 6 (20 enodes) 119.382 * * [simplify]: iters left: 5 (92 enodes) 119.416 * * [simplify]: iters left: 4 (171 enodes) 119.466 * * [simplify]: iters left: 3 (427 enodes) 119.648 * * [simplify]: Extracting #0: cost 1 inf + 0 119.648 * * [simplify]: Extracting #1: cost 43 inf + 0 119.649 * * [simplify]: Extracting #2: cost 223 inf + 2 119.650 * * [simplify]: Extracting #3: cost 284 inf + 1043 119.653 * * [simplify]: Extracting #4: cost 236 inf + 15263 119.666 * * [simplify]: Extracting #5: cost 55 inf + 61521 119.683 * * [simplify]: Extracting #6: cost 2 inf + 83834 119.704 * * [simplify]: Extracting #7: cost 0 inf + 84973 119.734 * [simplify]: Simplified to (+ (* (- 1/4 (/ k 4)) (+ (log (* PI 2)) (log n))) (* (- 1/4 (/ k 4)) (+ (log (* PI 2)) (log n)))) 119.734 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (- 1/4 (/ k 4)) (+ (log (* PI 2)) (log n))) (* (- 1/4 (/ k 4)) (+ (log (* PI 2)) (log n))))) (sqrt k))) 119.734 * * * * [progress]: [ 241 / 303 ] simplifiying candidate # 119.735 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 119.735 * * [simplify]: iters left: 6 (18 enodes) 119.741 * * [simplify]: iters left: 5 (85 enodes) 119.757 * * [simplify]: iters left: 4 (173 enodes) 119.810 * * [simplify]: iters left: 3 (446 enodes) 120.089 * * [simplify]: Extracting #0: cost 1 inf + 0 120.090 * * [simplify]: Extracting #1: cost 43 inf + 0 120.091 * * [simplify]: Extracting #2: cost 258 inf + 0 120.094 * * [simplify]: Extracting #3: cost 343 inf + 1112 120.099 * * [simplify]: Extracting #4: cost 313 inf + 8473 120.117 * * [simplify]: Extracting #5: cost 140 inf + 52077 120.155 * * [simplify]: Extracting #6: cost 10 inf + 94485 120.201 * * [simplify]: Extracting #7: cost 0 inf + 98370 120.239 * [simplify]: Simplified to (+ (* (+ (log (* PI 2)) (log n)) (/ (- 1 k) 4)) (* (+ (log (* PI 2)) (log n)) (/ (- 1 k) 4))) 120.239 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (+ (log (* PI 2)) (log n)) (/ (- 1 k) 4)) (* (+ (log (* PI 2)) (log n)) (/ (- 1 k) 4)))) (sqrt k))) 120.239 * * * * [progress]: [ 242 / 303 ] simplifiying candidate # 120.239 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 120.239 * * [simplify]: iters left: 6 (18 enodes) 120.245 * * [simplify]: iters left: 5 (86 enodes) 120.262 * * [simplify]: iters left: 4 (176 enodes) 120.319 * * [simplify]: iters left: 3 (416 enodes) 120.488 * * [simplify]: Extracting #0: cost 1 inf + 0 120.488 * * [simplify]: Extracting #1: cost 43 inf + 0 120.489 * * [simplify]: Extracting #2: cost 252 inf + 2 120.490 * * [simplify]: Extracting #3: cost 338 inf + 2187 120.493 * * [simplify]: Extracting #4: cost 332 inf + 6291 120.506 * * [simplify]: Extracting #5: cost 170 inf + 43520 120.543 * * [simplify]: Extracting #6: cost 6 inf + 94446 120.583 * * [simplify]: Extracting #7: cost 0 inf + 92561 120.627 * [simplify]: Simplified to (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4))) 120.627 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)))) (sqrt k))) 120.627 * * * * [progress]: [ 243 / 303 ] simplifiying candidate # 120.628 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 120.628 * * [simplify]: iters left: 6 (18 enodes) 120.639 * * [simplify]: iters left: 5 (86 enodes) 120.671 * * [simplify]: iters left: 4 (176 enodes) 120.730 * * [simplify]: iters left: 3 (416 enodes) 120.931 * * [simplify]: Extracting #0: cost 1 inf + 0 120.931 * * [simplify]: Extracting #1: cost 43 inf + 0 120.933 * * [simplify]: Extracting #2: cost 252 inf + 2 120.935 * * [simplify]: Extracting #3: cost 338 inf + 2187 120.939 * * [simplify]: Extracting #4: cost 332 inf + 6291 120.947 * * [simplify]: Extracting #5: cost 170 inf + 43520 120.965 * * [simplify]: Extracting #6: cost 6 inf + 94446 121.004 * * [simplify]: Extracting #7: cost 0 inf + 92561 121.029 * [simplify]: Simplified to (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4))) 121.029 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)))) (sqrt k))) 121.030 * * * * [progress]: [ 244 / 303 ] simplifiying candidate # 121.030 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 121.030 * * [simplify]: iters left: 6 (18 enodes) 121.036 * * [simplify]: iters left: 5 (86 enodes) 121.052 * * [simplify]: iters left: 4 (182 enodes) 121.102 * * [simplify]: iters left: 3 (451 enodes) 121.306 * * [simplify]: Extracting #0: cost 1 inf + 0 121.306 * * [simplify]: Extracting #1: cost 49 inf + 0 121.307 * * [simplify]: Extracting #2: cost 285 inf + 2 121.309 * * [simplify]: Extracting #3: cost 402 inf + 443 121.314 * * [simplify]: Extracting #4: cost 307 inf + 25423 121.352 * * [simplify]: Extracting #5: cost 35 inf + 101416 121.397 * * [simplify]: Extracting #6: cost 2 inf + 116601 121.427 * * [simplify]: Extracting #7: cost 0 inf + 117352 121.474 * [simplify]: Simplified to (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 121.474 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 121.475 * * * * [progress]: [ 245 / 303 ] simplifiying candidate # 121.475 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 121.475 * * [simplify]: iters left: 6 (17 enodes) 121.485 * * [simplify]: iters left: 5 (80 enodes) 121.514 * * [simplify]: iters left: 4 (162 enodes) 121.577 * * [simplify]: iters left: 3 (370 enodes) 121.722 * * [simplify]: Extracting #0: cost 1 inf + 0 121.723 * * [simplify]: Extracting #1: cost 39 inf + 0 121.723 * * [simplify]: Extracting #2: cost 205 inf + 0 121.724 * * [simplify]: Extracting #3: cost 302 inf + 371 121.727 * * [simplify]: Extracting #4: cost 309 inf + 9887 121.734 * * [simplify]: Extracting #5: cost 189 inf + 46836 121.765 * * [simplify]: Extracting #6: cost 34 inf + 117714 121.810 * * [simplify]: Extracting #7: cost 0 inf + 139460 121.851 * * [simplify]: Extracting #8: cost 0 inf + 139339 121.874 * [simplify]: Simplified to (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 121.874 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 121.874 * * * * [progress]: [ 246 / 303 ] simplifiying candidate # 121.875 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 121.875 * * [simplify]: iters left: 6 (19 enodes) 121.886 * * [simplify]: iters left: 5 (89 enodes) 121.920 * * [simplify]: iters left: 4 (199 enodes) 122.011 * * [simplify]: Extracting #0: cost 1 inf + 0 122.011 * * [simplify]: Extracting #1: cost 25 inf + 0 122.012 * * [simplify]: Extracting #2: cost 113 inf + 2 122.012 * * [simplify]: Extracting #3: cost 187 inf + 75 122.014 * * [simplify]: Extracting #4: cost 131 inf + 12020 122.021 * * [simplify]: Extracting #5: cost 44 inf + 37597 122.035 * * [simplify]: Extracting #6: cost 2 inf + 52516 122.055 * * [simplify]: Extracting #7: cost 0 inf + 53557 122.075 * [simplify]: Simplified to (+ (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 4)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 4))) 122.075 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 4)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 4)))) (sqrt k))) 122.076 * * * * [progress]: [ 247 / 303 ] simplifiying candidate # 122.076 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 122.076 * * [simplify]: iters left: 6 (21 enodes) 122.093 * * [simplify]: iters left: 5 (92 enodes) 122.127 * * [simplify]: iters left: 4 (205 enodes) 122.232 * * [simplify]: Extracting #0: cost 1 inf + 0 122.232 * * [simplify]: Extracting #1: cost 24 inf + 0 122.232 * * [simplify]: Extracting #2: cost 111 inf + 2 122.233 * * [simplify]: Extracting #3: cost 184 inf + 75 122.234 * * [simplify]: Extracting #4: cost 144 inf + 7707 122.240 * * [simplify]: Extracting #5: cost 51 inf + 31597 122.248 * * [simplify]: Extracting #6: cost 3 inf + 46263 122.257 * * [simplify]: Extracting #7: cost 0 inf + 47023 122.266 * * [simplify]: Extracting #8: cost 0 inf + 46983 122.276 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 122.276 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))))) (sqrt k))) 122.277 * * * * [progress]: [ 248 / 303 ] simplifiying candidate # 122.277 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 122.277 * * [simplify]: iters left: 6 (20 enodes) 122.286 * * [simplify]: iters left: 5 (96 enodes) 122.308 * * [simplify]: iters left: 4 (196 enodes) 122.378 * * [simplify]: Extracting #0: cost 1 inf + 0 122.378 * * [simplify]: Extracting #1: cost 20 inf + 0 122.379 * * [simplify]: Extracting #2: cost 92 inf + 2 122.379 * * [simplify]: Extracting #3: cost 163 inf + 217 122.383 * * [simplify]: Extracting #4: cost 109 inf + 11058 122.393 * * [simplify]: Extracting #5: cost 31 inf + 28606 122.407 * * [simplify]: Extracting #6: cost 0 inf + 38342 122.415 * * [simplify]: Extracting #7: cost 0 inf + 38162 122.736 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log (* n (* 2 PI))) (log (* n (* 2 PI))))) 122.737 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 4) (+ (log (* n (* 2 PI))) (log (* n (* 2 PI)))))) (sqrt k))) 122.737 * * * * [progress]: [ 249 / 303 ] simplifiying candidate # 122.737 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 122.737 * * [simplify]: iters left: 6 (20 enodes) 122.750 * * [simplify]: iters left: 5 (96 enodes) 122.776 * * [simplify]: iters left: 4 (196 enodes) 122.833 * * [simplify]: Extracting #0: cost 1 inf + 0 122.833 * * [simplify]: Extracting #1: cost 20 inf + 0 122.834 * * [simplify]: Extracting #2: cost 92 inf + 2 122.834 * * [simplify]: Extracting #3: cost 163 inf + 217 122.839 * * [simplify]: Extracting #4: cost 109 inf + 11058 122.844 * * [simplify]: Extracting #5: cost 31 inf + 28606 122.851 * * [simplify]: Extracting #6: cost 0 inf + 38342 122.862 * * [simplify]: Extracting #7: cost 0 inf + 38162 122.876 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log (* n (* 2 PI))) (log (* n (* 2 PI))))) 122.876 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 4) (+ (log (* n (* 2 PI))) (log (* n (* 2 PI)))))) (sqrt k))) 122.876 * * * * [progress]: [ 250 / 303 ] simplifiying candidate # 122.876 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 122.877 * * [simplify]: iters left: 6 (20 enodes) 122.889 * * [simplify]: iters left: 5 (93 enodes) 122.922 * * [simplify]: iters left: 4 (191 enodes) 123.006 * * [simplify]: Extracting #0: cost 1 inf + 0 123.006 * * [simplify]: Extracting #1: cost 20 inf + 0 123.006 * * [simplify]: Extracting #2: cost 108 inf + 0 123.007 * * [simplify]: Extracting #3: cost 164 inf + 258 123.008 * * [simplify]: Extracting #4: cost 125 inf + 7162 123.013 * * [simplify]: Extracting #5: cost 33 inf + 30387 123.021 * * [simplify]: Extracting #6: cost 3 inf + 40338 123.028 * * [simplify]: Extracting #7: cost 0 inf + 41514 123.035 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* n (* 2 PI)))) (* (/ (- 1 k) 4) (log (* n (* 2 PI))))) 123.035 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (/ (- 1 k) 4) (log (* n (* 2 PI)))) (* (/ (- 1 k) 4) (log (* n (* 2 PI)))))) (sqrt k))) 123.035 * * * * [progress]: [ 251 / 303 ] simplifiying candidate # 123.036 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 123.036 * * [simplify]: iters left: 6 (21 enodes) 123.045 * * [simplify]: iters left: 5 (94 enodes) 123.085 * * [simplify]: iters left: 4 (206 enodes) 123.173 * * [simplify]: Extracting #0: cost 1 inf + 0 123.173 * * [simplify]: Extracting #1: cost 22 inf + 0 123.174 * * [simplify]: Extracting #2: cost 102 inf + 2 123.174 * * [simplify]: Extracting #3: cost 184 inf + 75 123.176 * * [simplify]: Extracting #4: cost 135 inf + 8526 123.188 * * [simplify]: Extracting #5: cost 24 inf + 40893 123.205 * * [simplify]: Extracting #6: cost 5 inf + 44850 123.223 * * [simplify]: Extracting #7: cost 0 inf + 47213 123.241 * [simplify]: Simplified to (* (+ (log n) (log (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 123.241 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 123.241 * * * * [progress]: [ 252 / 303 ] simplifiying candidate # 123.241 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 123.241 * * [simplify]: iters left: 6 (18 enodes) 123.252 * * [simplify]: iters left: 5 (87 enodes) 123.285 * * [simplify]: iters left: 4 (188 enodes) 123.369 * * [simplify]: Extracting #0: cost 1 inf + 0 123.369 * * [simplify]: Extracting #1: cost 22 inf + 0 123.370 * * [simplify]: Extracting #2: cost 98 inf + 2 123.371 * * [simplify]: Extracting #3: cost 169 inf + 75 123.372 * * [simplify]: Extracting #4: cost 153 inf + 2169 123.379 * * [simplify]: Extracting #5: cost 57 inf + 23507 123.393 * * [simplify]: Extracting #6: cost 2 inf + 40695 123.408 * * [simplify]: Extracting #7: cost 0 inf + 41526 123.417 * [simplify]: Simplified to (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 4)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 4))) 123.417 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 4)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 4)))) (sqrt k))) 123.417 * * * * [progress]: [ 253 / 303 ] simplifiying candidate # 123.417 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 123.417 * * [simplify]: iters left: 6 (18 enodes) 123.424 * * [simplify]: iters left: 5 (91 enodes) 123.443 * * [simplify]: iters left: 4 (198 enodes) 123.512 * * [simplify]: iters left: 3 (497 enodes) 123.785 * * [simplify]: Extracting #0: cost 1 inf + 0 123.786 * * [simplify]: Extracting #1: cost 55 inf + 0 123.786 * * [simplify]: Extracting #2: cost 280 inf + 2 123.788 * * [simplify]: Extracting #3: cost 371 inf + 4579 123.802 * * [simplify]: Extracting #4: cost 240 inf + 37289 123.842 * * [simplify]: Extracting #5: cost 23 inf + 99359 123.866 * * [simplify]: Extracting #6: cost 0 inf + 106529 123.904 * * [simplify]: Extracting #7: cost 0 inf + 106489 123.933 * [simplify]: Simplified to (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 4)) (* (log (* n (* 2 PI))) (/ (- 1 k) 4))) 123.933 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 4)) (* (log (* n (* 2 PI))) (/ (- 1 k) 4)))) (sqrt k))) 123.933 * * * * [progress]: [ 254 / 303 ] simplifiying candidate # 123.934 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 123.934 * * [simplify]: iters left: 6 (18 enodes) 123.940 * * [simplify]: iters left: 5 (91 enodes) 123.958 * * [simplify]: iters left: 4 (198 enodes) 124.034 * * [simplify]: iters left: 3 (497 enodes) 124.261 * * [simplify]: Extracting #0: cost 1 inf + 0 124.262 * * [simplify]: Extracting #1: cost 55 inf + 0 124.264 * * [simplify]: Extracting #2: cost 280 inf + 2 124.267 * * [simplify]: Extracting #3: cost 371 inf + 4579 124.287 * * [simplify]: Extracting #4: cost 240 inf + 37289 124.327 * * [simplify]: Extracting #5: cost 23 inf + 99359 124.373 * * [simplify]: Extracting #6: cost 0 inf + 106529 124.420 * * [simplify]: Extracting #7: cost 0 inf + 106489 124.468 * [simplify]: Simplified to (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 4)) (* (log (* n (* 2 PI))) (/ (- 1 k) 4))) 124.468 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 4)) (* (log (* n (* 2 PI))) (/ (- 1 k) 4)))) (sqrt k))) 124.469 * * * * [progress]: [ 255 / 303 ] simplifiying candidate # 124.469 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 124.469 * * [simplify]: iters left: 6 (18 enodes) 124.480 * * [simplify]: iters left: 5 (89 enodes) 124.506 * * [simplify]: iters left: 4 (188 enodes) 124.557 * * [simplify]: iters left: 3 (479 enodes) 124.742 * * [simplify]: Extracting #0: cost 1 inf + 0 124.742 * * [simplify]: Extracting #1: cost 51 inf + 0 124.743 * * [simplify]: Extracting #2: cost 296 inf + 2 124.745 * * [simplify]: Extracting #3: cost 412 inf + 371 124.753 * * [simplify]: Extracting #4: cost 299 inf + 25998 124.790 * * [simplify]: Extracting #5: cost 60 inf + 93926 124.841 * * [simplify]: Extracting #6: cost 13 inf + 112317 124.890 * * [simplify]: Extracting #7: cost 0 inf + 120343 124.919 * * [simplify]: Extracting #8: cost 0 inf + 120303 124.958 * [simplify]: Simplified to (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 124.958 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 124.958 * * * * [progress]: [ 256 / 303 ] simplifiying candidate # 124.959 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 124.959 * * [simplify]: iters left: 6 (21 enodes) 124.971 * * [simplify]: iters left: 5 (94 enodes) 125.007 * * [simplify]: iters left: 4 (206 enodes) 125.092 * * [simplify]: Extracting #0: cost 1 inf + 0 125.092 * * [simplify]: Extracting #1: cost 22 inf + 0 125.092 * * [simplify]: Extracting #2: cost 102 inf + 2 125.093 * * [simplify]: Extracting #3: cost 184 inf + 75 125.096 * * [simplify]: Extracting #4: cost 135 inf + 8526 125.110 * * [simplify]: Extracting #5: cost 24 inf + 40893 125.128 * * [simplify]: Extracting #6: cost 5 inf + 44850 125.145 * * [simplify]: Extracting #7: cost 0 inf + 47213 125.164 * [simplify]: Simplified to (* (+ (log n) (log (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 125.164 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 125.164 * * * * [progress]: [ 257 / 303 ] simplifiying candidate # 125.164 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 125.164 * * [simplify]: iters left: 6 (18 enodes) 125.175 * * [simplify]: iters left: 5 (87 enodes) 125.209 * * [simplify]: iters left: 4 (188 enodes) 125.293 * * [simplify]: Extracting #0: cost 1 inf + 0 125.293 * * [simplify]: Extracting #1: cost 22 inf + 0 125.293 * * [simplify]: Extracting #2: cost 98 inf + 2 125.294 * * [simplify]: Extracting #3: cost 169 inf + 75 125.295 * * [simplify]: Extracting #4: cost 153 inf + 2169 125.302 * * [simplify]: Extracting #5: cost 57 inf + 23507 125.313 * * [simplify]: Extracting #6: cost 2 inf + 40695 125.321 * * [simplify]: Extracting #7: cost 0 inf + 41526 125.329 * [simplify]: Simplified to (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 4)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 4))) 125.329 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 4)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 4)))) (sqrt k))) 125.329 * * * * [progress]: [ 258 / 303 ] simplifiying candidate # 125.329 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 125.329 * * [simplify]: iters left: 6 (18 enodes) 125.338 * * [simplify]: iters left: 5 (91 enodes) 125.367 * * [simplify]: iters left: 4 (198 enodes) 125.425 * * [simplify]: iters left: 3 (497 enodes) 125.670 * * [simplify]: Extracting #0: cost 1 inf + 0 125.671 * * [simplify]: Extracting #1: cost 55 inf + 0 125.672 * * [simplify]: Extracting #2: cost 280 inf + 2 125.676 * * [simplify]: Extracting #3: cost 371 inf + 4579 125.690 * * [simplify]: Extracting #4: cost 240 inf + 37289 125.732 * * [simplify]: Extracting #5: cost 23 inf + 99359 125.762 * * [simplify]: Extracting #6: cost 0 inf + 106529 125.793 * * [simplify]: Extracting #7: cost 0 inf + 106489 125.823 * [simplify]: Simplified to (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 4)) (* (log (* n (* 2 PI))) (/ (- 1 k) 4))) 125.823 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 4)) (* (log (* n (* 2 PI))) (/ (- 1 k) 4)))) (sqrt k))) 125.824 * * * * [progress]: [ 259 / 303 ] simplifiying candidate # 125.824 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 125.824 * * [simplify]: iters left: 6 (18 enodes) 125.831 * * [simplify]: iters left: 5 (91 enodes) 125.852 * * [simplify]: iters left: 4 (198 enodes) 125.915 * * [simplify]: iters left: 3 (497 enodes) 126.181 * * [simplify]: Extracting #0: cost 1 inf + 0 126.181 * * [simplify]: Extracting #1: cost 55 inf + 0 126.183 * * [simplify]: Extracting #2: cost 280 inf + 2 126.187 * * [simplify]: Extracting #3: cost 371 inf + 4579 126.202 * * [simplify]: Extracting #4: cost 240 inf + 37289 126.243 * * [simplify]: Extracting #5: cost 23 inf + 99359 126.290 * * [simplify]: Extracting #6: cost 0 inf + 106529 126.323 * * [simplify]: Extracting #7: cost 0 inf + 106489 126.351 * [simplify]: Simplified to (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 4)) (* (log (* n (* 2 PI))) (/ (- 1 k) 4))) 126.351 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 4)) (* (log (* n (* 2 PI))) (/ (- 1 k) 4)))) (sqrt k))) 126.351 * * * * [progress]: [ 260 / 303 ] simplifiying candidate # 126.351 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 126.351 * * [simplify]: iters left: 6 (18 enodes) 126.358 * * [simplify]: iters left: 5 (89 enodes) 126.375 * * [simplify]: iters left: 4 (188 enodes) 126.430 * * [simplify]: iters left: 3 (479 enodes) 126.611 * * [simplify]: Extracting #0: cost 1 inf + 0 126.611 * * [simplify]: Extracting #1: cost 51 inf + 0 126.613 * * [simplify]: Extracting #2: cost 296 inf + 2 126.616 * * [simplify]: Extracting #3: cost 412 inf + 371 126.622 * * [simplify]: Extracting #4: cost 299 inf + 25998 126.644 * * [simplify]: Extracting #5: cost 60 inf + 93926 126.675 * * [simplify]: Extracting #6: cost 13 inf + 112317 126.705 * * [simplify]: Extracting #7: cost 0 inf + 120343 126.732 * * [simplify]: Extracting #8: cost 0 inf + 120303 126.765 * [simplify]: Simplified to (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 126.765 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 126.765 * * * * [progress]: [ 261 / 303 ] simplifiying candidate # 126.766 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 126.766 * * [simplify]: iters left: 6 (21 enodes) 126.773 * * [simplify]: iters left: 5 (94 enodes) 126.792 * * [simplify]: iters left: 4 (174 enodes) 126.848 * * [simplify]: iters left: 3 (453 enodes) 127.076 * * [simplify]: Extracting #0: cost 1 inf + 0 127.076 * * [simplify]: Extracting #1: cost 46 inf + 0 127.078 * * [simplify]: Extracting #2: cost 283 inf + 2 127.081 * * [simplify]: Extracting #3: cost 364 inf + 1125 127.088 * * [simplify]: Extracting #4: cost 284 inf + 20563 127.120 * * [simplify]: Extracting #5: cost 72 inf + 86390 127.163 * * [simplify]: Extracting #6: cost 8 inf + 107629 127.185 * * [simplify]: Extracting #7: cost 0 inf + 111293 127.214 * * [simplify]: Extracting #8: cost 0 inf + 111088 127.238 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 127.238 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))))) (sqrt k))) 127.238 * * * * [progress]: [ 262 / 303 ] simplifiying candidate # 127.238 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 127.239 * * [simplify]: iters left: 6 (19 enodes) 127.251 * * [simplify]: iters left: 5 (87 enodes) 127.268 * * [simplify]: iters left: 4 (176 enodes) 127.330 * * [simplify]: iters left: 3 (474 enodes) 127.568 * * [simplify]: Extracting #0: cost 1 inf + 0 127.569 * * [simplify]: Extracting #1: cost 51 inf + 0 127.570 * * [simplify]: Extracting #2: cost 312 inf + 2 127.574 * * [simplify]: Extracting #3: cost 414 inf + 892 127.584 * * [simplify]: Extracting #4: cost 307 inf + 30044 127.604 * * [simplify]: Extracting #5: cost 66 inf + 101466 127.633 * * [simplify]: Extracting #6: cost 2 inf + 126798 127.677 * * [simplify]: Extracting #7: cost 0 inf + 127463 127.729 * [simplify]: Simplified to (* (+ (log n) (log (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 127.729 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 127.730 * * * * [progress]: [ 263 / 303 ] simplifiying candidate # 127.730 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 127.730 * * [simplify]: iters left: 6 (18 enodes) 127.741 * * [simplify]: iters left: 5 (86 enodes) 127.773 * * [simplify]: iters left: 4 (179 enodes) 127.821 * * [simplify]: iters left: 3 (445 enodes) 128.028 * * [simplify]: Extracting #0: cost 1 inf + 0 128.028 * * [simplify]: Extracting #1: cost 44 inf + 0 128.029 * * [simplify]: Extracting #2: cost 300 inf + 0 128.037 * * [simplify]: Extracting #3: cost 412 inf + 78 128.042 * * [simplify]: Extracting #4: cost 317 inf + 22644 128.059 * * [simplify]: Extracting #5: cost 62 inf + 94101 128.102 * * [simplify]: Extracting #6: cost 3 inf + 119780 128.151 * * [simplify]: Extracting #7: cost 0 inf + 120967 128.178 * * [simplify]: Extracting #8: cost 0 inf + 120926 128.213 * [simplify]: Simplified to (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 4)) (* (log (* n (* 2 PI))) (/ (- 1 k) 4))) 128.213 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 4)) (* (log (* n (* 2 PI))) (/ (- 1 k) 4)))) (sqrt k))) 128.213 * * * * [progress]: [ 264 / 303 ] simplifiying candidate # 128.213 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 128.213 * * [simplify]: iters left: 6 (18 enodes) 128.219 * * [simplify]: iters left: 5 (86 enodes) 128.242 * * [simplify]: iters left: 4 (179 enodes) 128.292 * * [simplify]: iters left: 3 (445 enodes) 128.498 * * [simplify]: Extracting #0: cost 1 inf + 0 128.498 * * [simplify]: Extracting #1: cost 44 inf + 0 128.499 * * [simplify]: Extracting #2: cost 300 inf + 0 128.501 * * [simplify]: Extracting #3: cost 412 inf + 78 128.505 * * [simplify]: Extracting #4: cost 317 inf + 22644 128.543 * * [simplify]: Extracting #5: cost 62 inf + 94101 128.593 * * [simplify]: Extracting #6: cost 3 inf + 119780 128.624 * * [simplify]: Extracting #7: cost 0 inf + 120967 128.668 * * [simplify]: Extracting #8: cost 0 inf + 120926 128.712 * [simplify]: Simplified to (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 4)) (* (log (* n (* 2 PI))) (/ (- 1 k) 4))) 128.712 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 4)) (* (log (* n (* 2 PI))) (/ (- 1 k) 4)))) (sqrt k))) 128.713 * * * * [progress]: [ 265 / 303 ] simplifiying candidate # 128.713 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 128.713 * * [simplify]: iters left: 6 (18 enodes) 128.723 * * [simplify]: iters left: 5 (86 enodes) 128.744 * * [simplify]: iters left: 4 (184 enodes) 128.807 * * [simplify]: iters left: 3 (472 enodes) 129.056 * * [simplify]: Extracting #0: cost 1 inf + 0 129.057 * * [simplify]: Extracting #1: cost 51 inf + 0 129.059 * * [simplify]: Extracting #2: cost 309 inf + 2 129.062 * * [simplify]: Extracting #3: cost 447 inf + 371 129.079 * * [simplify]: Extracting #4: cost 339 inf + 25511 129.108 * * [simplify]: Extracting #5: cost 44 inf + 117810 129.151 * * [simplify]: Extracting #6: cost 0 inf + 137012 129.210 * * [simplify]: Extracting #7: cost 0 inf + 136173 129.266 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log (* n (* 2 PI))) (log (* n (* 2 PI))))) 129.266 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 4) (+ (log (* n (* 2 PI))) (log (* n (* 2 PI)))))) (sqrt k))) 129.266 * * * * [progress]: [ 266 / 303 ] simplifiying candidate # 129.267 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 129.267 * * [simplify]: iters left: 6 (17 enodes) 129.277 * * [simplify]: iters left: 5 (80 enodes) 129.305 * * [simplify]: iters left: 4 (165 enodes) 129.369 * * [simplify]: iters left: 3 (391 enodes) 129.557 * * [simplify]: Extracting #0: cost 1 inf + 0 129.557 * * [simplify]: Extracting #1: cost 46 inf + 0 129.558 * * [simplify]: Extracting #2: cost 237 inf + 0 129.560 * * [simplify]: Extracting #3: cost 352 inf + 147 129.566 * * [simplify]: Extracting #4: cost 359 inf + 8724 129.578 * * [simplify]: Extracting #5: cost 238 inf + 44473 129.622 * * [simplify]: Extracting #6: cost 33 inf + 145399 129.675 * * [simplify]: Extracting #7: cost 0 inf + 164866 129.702 * * [simplify]: Extracting #8: cost 0 inf + 164682 129.729 * [simplify]: Simplified to (* (log (* (* 2 n) PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 129.730 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* (* 2 n) PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 129.730 * * * * [progress]: [ 267 / 303 ] simplifiying candidate # 129.730 * * * * [progress]: [ 268 / 303 ] simplifiying candidate # 129.730 * * * * [progress]: [ 269 / 303 ] simplifiying candidate # 129.730 * [simplify]: Simplifying (* (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2))) (pow n (/ (/ (- 1 k) 2) 2))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 129.730 * * [simplify]: iters left: 6 (21 enodes) 129.737 * * [simplify]: iters left: 5 (102 enodes) 129.771 * * [simplify]: iters left: 4 (272 enodes) 129.951 * * [simplify]: Extracting #0: cost 1 inf + 0 129.951 * * [simplify]: Extracting #1: cost 58 inf + 0 129.952 * * [simplify]: Extracting #2: cost 306 inf + 0 129.953 * * [simplify]: Extracting #3: cost 352 inf + 2 129.955 * * [simplify]: Extracting #4: cost 358 inf + 52 129.960 * * [simplify]: Extracting #5: cost 272 inf + 45195 129.987 * * [simplify]: Extracting #6: cost 98 inf + 181353 130.030 * * [simplify]: Extracting #7: cost 0 inf + 265267 130.074 * * [simplify]: Extracting #8: cost 0 inf + 263509 130.118 * * [simplify]: Extracting #9: cost 0 inf + 263249 130.164 * [simplify]: Simplified to (* (* (* (pow n (/ (- 1 k) 4)) (pow n (/ (- 1 k) 4))) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4)))))) (pow n (/ (- 1 k) 4))) 130.164 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (* (pow n (/ (- 1 k) 4)) (pow n (/ (- 1 k) 4))) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4)))))) (pow n (/ (- 1 k) 4)))) (sqrt k))) 130.164 * * * * [progress]: [ 270 / 303 ] simplifiying candidate # 130.165 * [simplify]: Simplifying (* (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2))) (pow n (/ (/ (- 1 k) 2) 2))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 130.165 * * [simplify]: iters left: 6 (19 enodes) 130.175 * * [simplify]: iters left: 5 (98 enodes) 130.203 * * [simplify]: iters left: 4 (284 enodes) 130.393 * * [simplify]: Extracting #0: cost 1 inf + 0 130.394 * * [simplify]: Extracting #1: cost 60 inf + 0 130.395 * * [simplify]: Extracting #2: cost 341 inf + 0 130.396 * * [simplify]: Extracting #3: cost 407 inf + 2 130.398 * * [simplify]: Extracting #4: cost 408 inf + 344 130.405 * * [simplify]: Extracting #5: cost 290 inf + 77866 130.454 * * [simplify]: Extracting #6: cost 71 inf + 260592 130.510 * * [simplify]: Extracting #7: cost 0 inf + 322610 130.569 * * [simplify]: Extracting #8: cost 0 inf + 320482 130.657 * [simplify]: Simplified to (* (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (* (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))))) 130.657 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (* (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4)))))) (sqrt k))) 130.657 * * * * [progress]: [ 271 / 303 ] simplifiying candidate # 130.657 * * * * [progress]: [ 272 / 303 ] simplifiying candidate # 130.657 * * * * [progress]: [ 273 / 303 ] simplifiying candidate # 130.658 * * * * [progress]: [ 274 / 303 ] simplifiying candidate # 130.658 * [simplify]: Simplifying (* (pow n (/ (/ 1 2) 2)) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2)))) 130.658 * * [simplify]: iters left: 6 (13 enodes) 130.669 * * [simplify]: iters left: 5 (62 enodes) 130.694 * * [simplify]: iters left: 4 (151 enodes) 130.759 * * [simplify]: iters left: 3 (445 enodes) 131.009 * * [simplify]: Extracting #0: cost 1 inf + 0 131.009 * * [simplify]: Extracting #1: cost 79 inf + 0 131.010 * * [simplify]: Extracting #2: cost 328 inf + 0 131.011 * * [simplify]: Extracting #3: cost 328 inf + 1066 131.014 * * [simplify]: Extracting #4: cost 273 inf + 25347 131.029 * * [simplify]: Extracting #5: cost 54 inf + 184579 131.070 * * [simplify]: Extracting #6: cost 0 inf + 230004 131.106 * [simplify]: Simplified to (* (pow n 1/4) (* (pow (* PI 2) 1/4) (pow (* (* PI 2) n) 1/4))) 131.106 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (pow n 1/4) (* (pow (* PI 2) 1/4) (pow (* (* PI 2) n) 1/4))) (* (pow n (/ (/ k 2) 2)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))))) (sqrt k))) 131.106 * [simplify]: Simplifying (* (pow n (/ (/ k 2) 2)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2)))) 131.107 * * [simplify]: iters left: 6 (13 enodes) 131.110 * * [simplify]: iters left: 5 (57 enodes) 131.123 * * [simplify]: iters left: 4 (119 enodes) 131.167 * * [simplify]: iters left: 3 (359 enodes) 131.557 * * [simplify]: Extracting #0: cost 1 inf + 0 131.557 * * [simplify]: Extracting #1: cost 95 inf + 0 131.558 * * [simplify]: Extracting #2: cost 395 inf + 0 131.560 * * [simplify]: Extracting #3: cost 422 inf + 2 131.563 * * [simplify]: Extracting #4: cost 360 inf + 24818 131.583 * * [simplify]: Extracting #5: cost 116 inf + 217750 131.620 * * [simplify]: Extracting #6: cost 1 inf + 320745 131.698 * * [simplify]: Extracting #7: cost 0 inf + 319309 131.740 * * [simplify]: Extracting #8: cost 0 inf + 319308 131.790 * [simplify]: Simplified to (* (pow n (/ k 4)) (* (pow (* PI 2) (/ k 4)) (pow (* (* PI 2) n) (/ k 4)))) 131.790 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (/ 1 2) 2)) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2)))) (* (pow n (/ k 4)) (* (pow (* PI 2) (/ k 4)) (pow (* (* PI 2) n) (/ k 4))))) (sqrt k))) 131.790 * * * * [progress]: [ 275 / 303 ] simplifiying candidate # 131.791 * [simplify]: Simplifying (* (pow n (/ (/ 1 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2)))) 131.791 * * [simplify]: iters left: 6 (17 enodes) 131.798 * * [simplify]: iters left: 5 (80 enodes) 131.827 * * [simplify]: iters left: 4 (173 enodes) 131.885 * * [simplify]: iters left: 3 (465 enodes) 132.181 * * [simplify]: Extracting #0: cost 1 inf + 0 132.182 * * [simplify]: Extracting #1: cost 79 inf + 0 132.183 * * [simplify]: Extracting #2: cost 342 inf + 0 132.184 * * [simplify]: Extracting #3: cost 372 inf + 218 132.187 * * [simplify]: Extracting #4: cost 351 inf + 10993 132.198 * * [simplify]: Extracting #5: cost 245 inf + 70662 132.222 * * [simplify]: Extracting #6: cost 56 inf + 214764 132.258 * * [simplify]: Extracting #7: cost 0 inf + 264692 132.294 * [simplify]: Simplified to (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* (* PI 2) n) 1/4)) (pow n 1/4)) 132.294 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* (* PI 2) n) 1/4)) (pow n 1/4)) (* (pow n (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2)))) (sqrt k))) 132.294 * [simplify]: Simplifying (* (pow n (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) 132.294 * * [simplify]: iters left: 6 (11 enodes) 132.298 * * [simplify]: iters left: 5 (46 enodes) 132.306 * * [simplify]: iters left: 4 (86 enodes) 132.326 * * [simplify]: iters left: 3 (185 enodes) 132.423 * * [simplify]: Extracting #0: cost 1 inf + 0 132.423 * * [simplify]: Extracting #1: cost 36 inf + 0 132.423 * * [simplify]: Extracting #2: cost 116 inf + 0 132.424 * * [simplify]: Extracting #3: cost 141 inf + 2 132.424 * * [simplify]: Extracting #4: cost 131 inf + 885 132.427 * * [simplify]: Extracting #5: cost 66 inf + 24924 132.440 * * [simplify]: Extracting #6: cost 5 inf + 67165 132.452 * * [simplify]: Extracting #7: cost 0 inf + 70412 132.461 * * [simplify]: Extracting #8: cost 0 inf + 70328 132.470 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ k 4)) (pow n (/ k 4))) 132.470 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* (* PI 2) n) 1/4)) (pow n 1/4)) (* (pow (* (* PI 2) n) (/ k 4)) (pow n (/ k 4)))) (sqrt k))) 132.471 * * * * [progress]: [ 276 / 303 ] simplifiying candidate # 132.471 * [simplify]: Simplifying (* (pow n (/ (/ 1 2) 2)) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 132.471 * * [simplify]: iters left: 6 (17 enodes) 132.477 * * [simplify]: iters left: 5 (80 enodes) 132.511 * * [simplify]: iters left: 4 (173 enodes) 132.600 * * [simplify]: iters left: 3 (473 enodes) 132.908 * * [simplify]: Extracting #0: cost 1 inf + 0 132.908 * * [simplify]: Extracting #1: cost 82 inf + 0 132.910 * * [simplify]: Extracting #2: cost 339 inf + 0 132.918 * * [simplify]: Extracting #3: cost 368 inf + 642 132.922 * * [simplify]: Extracting #4: cost 349 inf + 9922 132.934 * * [simplify]: Extracting #5: cost 237 inf + 72771 132.964 * * [simplify]: Extracting #6: cost 52 inf + 210333 133.002 * * [simplify]: Extracting #7: cost 0 inf + 257281 133.062 * * [simplify]: Extracting #8: cost 0 inf + 256753 133.118 * [simplify]: Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (pow n 1/4)) 133.118 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (pow n 1/4)) (* (pow n (/ (/ k 2) 2)) (pow (* 2 PI) (/ (/ k 2) 2)))) (sqrt k))) 133.119 * [simplify]: Simplifying (* (pow n (/ (/ k 2) 2)) (pow (* 2 PI) (/ (/ k 2) 2))) 133.119 * * [simplify]: iters left: 6 (10 enodes) 133.125 * * [simplify]: iters left: 5 (40 enodes) 133.139 * * [simplify]: iters left: 4 (72 enodes) 133.166 * * [simplify]: iters left: 3 (162 enodes) 133.246 * * [simplify]: Extracting #0: cost 1 inf + 0 133.246 * * [simplify]: Extracting #1: cost 27 inf + 0 133.247 * * [simplify]: Extracting #2: cost 107 inf + 0 133.248 * * [simplify]: Extracting #3: cost 132 inf + 2 133.249 * * [simplify]: Extracting #4: cost 121 inf + 1754 133.254 * * [simplify]: Extracting #5: cost 53 inf + 28245 133.267 * * [simplify]: Extracting #6: cost 2 inf + 63858 133.282 * * [simplify]: Extracting #7: cost 0 inf + 65247 133.293 * [simplify]: Simplified to (* (pow (* PI 2) (/ k 4)) (pow n (/ k 4))) 133.294 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (pow n 1/4)) (* (pow (* PI 2) (/ k 4)) (pow n (/ k 4)))) (sqrt k))) 133.294 * * * * [progress]: [ 277 / 303 ] simplifiying candidate # 133.294 * * * * [progress]: [ 278 / 303 ] simplifiying candidate # 133.294 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 133.294 * * [simplify]: iters left: 6 (11 enodes) 133.298 * * [simplify]: iters left: 5 (51 enodes) 133.311 * * [simplify]: iters left: 4 (87 enodes) 133.332 * * [simplify]: iters left: 3 (143 enodes) 133.362 * * [simplify]: iters left: 2 (259 enodes) 133.441 * * [simplify]: iters left: 1 (469 enodes) 133.643 * * [simplify]: Extracting #0: cost 1 inf + 0 133.644 * * [simplify]: Extracting #1: cost 24 inf + 0 133.644 * * [simplify]: Extracting #2: cost 110 inf + 1 133.646 * * [simplify]: Extracting #3: cost 192 inf + 178 133.648 * * [simplify]: Extracting #4: cost 178 inf + 1845 133.655 * * [simplify]: Extracting #5: cost 89 inf + 12477 133.666 * * [simplify]: Extracting #6: cost 41 inf + 28219 133.691 * * [simplify]: Extracting #7: cost 4 inf + 58625 133.712 * * [simplify]: Extracting #8: cost 0 inf + 62670 133.733 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 133.733 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (sqrt k))) 133.733 * * * * [progress]: [ 279 / 303 ] simplifiying candidate # 133.733 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1 k) 2) 2)) 133.733 * * [simplify]: iters left: 6 (10 enodes) 133.739 * * [simplify]: iters left: 5 (44 enodes) 133.748 * * [simplify]: iters left: 4 (72 enodes) 133.762 * * [simplify]: iters left: 3 (122 enodes) 133.805 * * [simplify]: iters left: 2 (241 enodes) 133.874 * * [simplify]: iters left: 1 (456 enodes) 134.089 * * [simplify]: Extracting #0: cost 1 inf + 0 134.089 * * [simplify]: Extracting #1: cost 27 inf + 0 134.089 * * [simplify]: Extracting #2: cost 112 inf + 1 134.091 * * [simplify]: Extracting #3: cost 197 inf + 9 134.093 * * [simplify]: Extracting #4: cost 180 inf + 2210 134.100 * * [simplify]: Extracting #5: cost 82 inf + 17288 134.117 * * [simplify]: Extracting #6: cost 18 inf + 49662 134.143 * * [simplify]: Extracting #7: cost 0 inf + 64324 134.169 * * [simplify]: Extracting #8: cost 0 inf + 64244 134.195 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (* 1/4 (- 1 k))) 134.195 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt n) (cbrt n)) (* 1/4 (- 1 k))) (* (pow (cbrt n) (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 134.195 * * * * [progress]: [ 280 / 303 ] simplifiying candidate # 134.195 * [simplify]: Simplifying (pow (sqrt n) (/ (/ (- 1 k) 2) 2)) 134.196 * * [simplify]: iters left: 6 (9 enodes) 134.202 * * [simplify]: iters left: 5 (41 enodes) 134.216 * * [simplify]: iters left: 4 (69 enodes) 134.231 * * [simplify]: iters left: 3 (119 enodes) 134.258 * * [simplify]: iters left: 2 (241 enodes) 134.313 * * [simplify]: iters left: 1 (469 enodes) 134.526 * * [simplify]: Extracting #0: cost 1 inf + 0 134.526 * * [simplify]: Extracting #1: cost 26 inf + 0 134.526 * * [simplify]: Extracting #2: cost 118 inf + 1 134.528 * * [simplify]: Extracting #3: cost 196 inf + 93 134.530 * * [simplify]: Extracting #4: cost 191 inf + 932 134.536 * * [simplify]: Extracting #5: cost 88 inf + 13931 134.549 * * [simplify]: Extracting #6: cost 25 inf + 40231 134.574 * * [simplify]: Extracting #7: cost 1 inf + 60385 134.594 * * [simplify]: Extracting #8: cost 0 inf + 61050 134.615 * [simplify]: Simplified to (pow (sqrt n) (- 1/4 (/ k 4))) 134.615 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt n) (- 1/4 (/ k 4))) (* (pow (sqrt n) (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 134.615 * * * * [progress]: [ 281 / 303 ] simplifiying candidate # 134.616 * [simplify]: Simplifying (pow 1 (/ (/ (- 1 k) 2) 2)) 134.616 * * [simplify]: iters left: 6 (7 enodes) 134.621 * * [simplify]: iters left: 5 (30 enodes) 134.631 * * [simplify]: iters left: 4 (45 enodes) 134.643 * * [simplify]: iters left: 3 (51 enodes) 134.659 * * [simplify]: iters left: 2 (58 enodes) 134.675 * * [simplify]: Extracting #0: cost 1 inf + 0 134.675 * * [simplify]: Extracting #1: cost 0 inf + 1 134.675 * [simplify]: Simplified to 1 134.675 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 134.675 * * * * [progress]: [ 282 / 303 ] simplifiying candidate # 134.675 * [simplify]: Simplifying (* (cbrt (pow n (/ (/ (- 1 k) 2) 2))) (cbrt (pow n (/ (/ (- 1 k) 2) 2)))) 134.675 * * [simplify]: iters left: 6 (10 enodes) 134.680 * * [simplify]: iters left: 5 (44 enodes) 134.688 * * [simplify]: iters left: 4 (72 enodes) 134.704 * * [simplify]: iters left: 3 (116 enodes) 134.730 * * [simplify]: iters left: 2 (204 enodes) 134.790 * * [simplify]: iters left: 1 (400 enodes) 135.026 * * [simplify]: Extracting #0: cost 1 inf + 0 135.026 * * [simplify]: Extracting #1: cost 3 inf + 0 135.026 * * [simplify]: Extracting #2: cost 5 inf + 0 135.026 * * [simplify]: Extracting #3: cost 29 inf + 0 135.027 * * [simplify]: Extracting #4: cost 97 inf + 2 135.028 * * [simplify]: Extracting #5: cost 168 inf + 10 135.030 * * [simplify]: Extracting #6: cost 152 inf + 3764 135.035 * * [simplify]: Extracting #7: cost 72 inf + 16843 135.047 * * [simplify]: Extracting #8: cost 12 inf + 46507 135.059 * * [simplify]: Extracting #9: cost 0 inf + 54843 135.068 * * [simplify]: Extracting #10: cost 0 inf + 54763 135.076 * [simplify]: Simplified to (* (cbrt (pow n (/ (- 1 k) 4))) (cbrt (pow n (/ (- 1 k) 4)))) 135.076 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (/ (- 1 k) 4))) (cbrt (pow n (/ (- 1 k) 4)))) (* (cbrt (pow n (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 135.077 * * * * [progress]: [ 283 / 303 ] simplifiying candidate # 135.077 * [simplify]: Simplifying (sqrt (pow n (/ (/ (- 1 k) 2) 2))) 135.077 * * [simplify]: iters left: 6 (9 enodes) 135.081 * * [simplify]: iters left: 5 (41 enodes) 135.089 * * [simplify]: iters left: 4 (70 enodes) 135.102 * * [simplify]: iters left: 3 (114 enodes) 135.141 * * [simplify]: iters left: 2 (203 enodes) 135.211 * * [simplify]: iters left: 1 (399 enodes) 135.385 * * [simplify]: Extracting #0: cost 1 inf + 0 135.385 * * [simplify]: Extracting #1: cost 4 inf + 0 135.385 * * [simplify]: Extracting #2: cost 29 inf + 0 135.386 * * [simplify]: Extracting #3: cost 117 inf + 2 135.387 * * [simplify]: Extracting #4: cost 159 inf + 11 135.389 * * [simplify]: Extracting #5: cost 152 inf + 1769 135.393 * * [simplify]: Extracting #6: cost 74 inf + 12943 135.405 * * [simplify]: Extracting #7: cost 23 inf + 37026 135.422 * * [simplify]: Extracting #8: cost 0 inf + 53760 135.439 * * [simplify]: Extracting #9: cost 0 inf + 53136 135.456 * [simplify]: Simplified to (sqrt (pow n (/ (- 1 k) 4))) 135.456 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow n (/ (- 1 k) 4))) (* (sqrt (pow n (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 135.456 * * * * [progress]: [ 284 / 303 ] simplifiying candidate # 135.456 * * * * [progress]: [ 285 / 303 ] simplifiying candidate # 135.456 * [simplify]: Simplifying (pow n (/ (/ (/ (- 1 k) 2) 2) 2)) 135.457 * * [simplify]: iters left: 6 (9 enodes) 135.462 * * [simplify]: iters left: 5 (42 enodes) 135.479 * * [simplify]: iters left: 4 (79 enodes) 135.512 * * [simplify]: iters left: 3 (143 enodes) 135.540 * * [simplify]: iters left: 2 (250 enodes) 135.607 * * [simplify]: iters left: 1 (468 enodes) 135.836 * * [simplify]: Extracting #0: cost 1 inf + 0 135.836 * * [simplify]: Extracting #1: cost 25 inf + 0 135.836 * * [simplify]: Extracting #2: cost 111 inf + 2 135.837 * * [simplify]: Extracting #3: cost 185 inf + 12 135.839 * * [simplify]: Extracting #4: cost 149 inf + 4286 135.847 * * [simplify]: Extracting #5: cost 33 inf + 34592 135.866 * * [simplify]: Extracting #6: cost 0 inf + 55931 135.881 * * [simplify]: Extracting #7: cost 0 inf + 55565 135.890 * [simplify]: Simplified to (pow n (/ (- 1 k) 8)) 135.890 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 8)) (* (pow n (/ (/ (/ (- 1 k) 2) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 135.891 * * * * [progress]: [ 286 / 303 ] simplifiying candidate # 135.891 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) 135.891 * * [simplify]: iters left: 6 (11 enodes) 135.895 * * [simplify]: iters left: 5 (46 enodes) 135.903 * * [simplify]: iters left: 4 (86 enodes) 135.925 * * [simplify]: iters left: 3 (185 enodes) 136.021 * * [simplify]: Extracting #0: cost 1 inf + 0 136.021 * * [simplify]: Extracting #1: cost 36 inf + 0 136.022 * * [simplify]: Extracting #2: cost 117 inf + 0 136.022 * * [simplify]: Extracting #3: cost 144 inf + 1 136.023 * * [simplify]: Extracting #4: cost 130 inf + 1630 136.025 * * [simplify]: Extracting #5: cost 70 inf + 25282 136.040 * * [simplify]: Extracting #6: cost 8 inf + 68980 136.051 * * [simplify]: Extracting #7: cost 0 inf + 74820 136.063 * [simplify]: Simplified to (* (pow (* n (* 2 PI)) (/ k 4)) (pow (* 2 PI) (/ k 4))) 136.063 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2)))) (* (pow (* n (* 2 PI)) (/ k 4)) (pow (* 2 PI) (/ k 4)))) (sqrt k))) 136.063 * * * * [progress]: [ 287 / 303 ] simplifiying candidate # 136.063 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 136.063 * * [simplify]: iters left: 5 (9 enodes) 136.066 * * [simplify]: iters left: 4 (37 enodes) 136.072 * * [simplify]: iters left: 3 (57 enodes) 136.082 * * [simplify]: iters left: 2 (93 enodes) 136.104 * * [simplify]: iters left: 1 (170 enodes) 136.140 * * [simplify]: Extracting #0: cost 1 inf + 0 136.140 * * [simplify]: Extracting #1: cost 13 inf + 0 136.140 * * [simplify]: Extracting #2: cost 59 inf + 1 136.141 * * [simplify]: Extracting #3: cost 78 inf + 176 136.142 * * [simplify]: Extracting #4: cost 40 inf + 3875 136.144 * * [simplify]: Extracting #5: cost 7 inf + 16988 136.148 * * [simplify]: Extracting #6: cost 0 inf + 20577 136.151 * * [simplify]: Extracting #7: cost 0 inf + 20336 136.154 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 136.154 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2)))) (pow (* (* PI 2) n) (/ k 4))) (sqrt k))) 136.154 * * * * [progress]: [ 288 / 303 ] simplifiying candidate # 136.154 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ k 2) 2)) 136.154 * * [simplify]: iters left: 5 (7 enodes) 136.157 * * [simplify]: iters left: 4 (28 enodes) 136.161 * * [simplify]: iters left: 3 (43 enodes) 136.169 * * [simplify]: iters left: 2 (74 enodes) 136.183 * * [simplify]: iters left: 1 (151 enodes) 136.224 * * [simplify]: Extracting #0: cost 1 inf + 0 136.224 * * [simplify]: Extracting #1: cost 12 inf + 0 136.225 * * [simplify]: Extracting #2: cost 54 inf + 1 136.225 * * [simplify]: Extracting #3: cost 71 inf + 135 136.227 * * [simplify]: Extracting #4: cost 32 inf + 4638 136.234 * * [simplify]: Extracting #5: cost 6 inf + 15744 136.239 * * [simplify]: Extracting #6: cost 0 inf + 18744 136.244 * * [simplify]: Extracting #7: cost 0 inf + 18624 136.249 * [simplify]: Simplified to (pow (* 2 PI) (/ k 4)) 136.249 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ k 4))) (sqrt k))) 136.249 * * * * [progress]: [ 289 / 303 ] simplifiying candidate # 136.250 * [simplify]: Simplifying (* (pow n (/ (/ 1 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 136.250 * * [simplify]: iters left: 6 (17 enodes) 136.261 * * [simplify]: iters left: 5 (79 enodes) 136.280 * * [simplify]: iters left: 4 (162 enodes) 136.323 * * [simplify]: iters left: 3 (438 enodes) 136.745 * * [simplify]: Extracting #0: cost 1 inf + 0 136.745 * * [simplify]: Extracting #1: cost 94 inf + 0 136.747 * * [simplify]: Extracting #2: cost 394 inf + 0 136.750 * * [simplify]: Extracting #3: cost 424 inf + 6 136.754 * * [simplify]: Extracting #4: cost 421 inf + 2169 136.763 * * [simplify]: Extracting #5: cost 340 inf + 42873 136.810 * * [simplify]: Extracting #6: cost 117 inf + 213663 136.846 * * [simplify]: Extracting #7: cost 7 inf + 316764 136.917 * * [simplify]: Extracting #8: cost 0 inf + 324071 136.977 * [simplify]: Simplified to (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow n 1/4)) 136.977 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow n 1/4)) (pow n (/ (/ k 2) 2))) (sqrt k))) 136.977 * * * * [progress]: [ 290 / 303 ] simplifiying candidate #real (real->posit16 (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) (sqrt k)))> 136.977 * * * * [progress]: [ 291 / 303 ] simplifiying candidate # 136.977 * * * * [progress]: [ 292 / 303 ] simplifiying candidate # 136.978 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 136.978 * * [simplify]: iters left: 6 (37 enodes) 137.001 * * [simplify]: iters left: 5 (193 enodes) 137.073 * * [simplify]: Extracting #0: cost 1 inf + 0 137.073 * * [simplify]: Extracting #1: cost 22 inf + 0 137.073 * * [simplify]: Extracting #2: cost 104 inf + 1 137.074 * * [simplify]: Extracting #3: cost 170 inf + 88 137.074 * * [simplify]: Extracting #4: cost 195 inf + 509 137.077 * * [simplify]: Extracting #5: cost 136 inf + 15293 137.084 * * [simplify]: Extracting #6: cost 47 inf + 48666 137.108 * * [simplify]: Extracting #7: cost 3 inf + 79281 137.141 * * [simplify]: Extracting #8: cost 0 inf + 80934 137.175 * * [simplify]: Extracting #9: cost 0 inf + 80864 137.213 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) 137.213 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))))) (sqrt k))) 137.213 * * * * [progress]: [ 293 / 303 ] simplifiying candidate # 137.214 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 137.214 * * [simplify]: iters left: 6 (15 enodes) 137.224 * * [simplify]: iters left: 5 (65 enodes) 137.247 * * [simplify]: iters left: 4 (123 enodes) 137.299 * * [simplify]: iters left: 3 (366 enodes) 137.458 * * [simplify]: Extracting #0: cost 1 inf + 0 137.458 * * [simplify]: Extracting #1: cost 37 inf + 0 137.459 * * [simplify]: Extracting #2: cost 212 inf + 143 137.460 * * [simplify]: Extracting #3: cost 347 inf + 1812 137.465 * * [simplify]: Extracting #4: cost 207 inf + 31167 137.492 * * [simplify]: Extracting #5: cost 25 inf + 82567 137.524 * * [simplify]: Extracting #6: cost 0 inf + 89048 137.557 * * [simplify]: Extracting #7: cost 0 inf + 88844 137.589 * * [simplify]: Extracting #8: cost 0 inf + 88842 137.621 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 137.622 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))))) (sqrt k))) 137.622 * * * * [progress]: [ 294 / 303 ] simplifiying candidate # 137.622 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 137.622 * * [simplify]: iters left: 6 (16 enodes) 137.635 * * [simplify]: iters left: 5 (67 enodes) 137.656 * * [simplify]: iters left: 4 (134 enodes) 137.696 * * [simplify]: iters left: 3 (412 enodes) 137.922 * * [simplify]: Extracting #0: cost 1 inf + 0 137.922 * * [simplify]: Extracting #1: cost 39 inf + 0 137.922 * * [simplify]: Extracting #2: cost 241 inf + 72 137.924 * * [simplify]: Extracting #3: cost 448 inf + 1069 137.929 * * [simplify]: Extracting #4: cost 308 inf + 32324 137.949 * * [simplify]: Extracting #5: cost 42 inf + 110073 137.994 * * [simplify]: Extracting #6: cost 0 inf + 122155 138.023 * * [simplify]: Extracting #7: cost 0 inf + 121985 138.050 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 138.050 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k))) 138.050 * * * * [progress]: [ 295 / 303 ] simplifiying candidate # 138.050 * [simplify]: Simplifying (- (+ (pow n 1/4) (* 1/32 (* (pow n 1/4) (* (pow (log n) 2) (pow k 2))))) (* 1/4 (* (pow n 1/4) (* (log n) k)))) 138.050 * * [simplify]: iters left: 6 (17 enodes) 138.056 * * [simplify]: iters left: 5 (82 enodes) 138.081 * * [simplify]: iters left: 4 (214 enodes) 138.177 * * [simplify]: Extracting #0: cost 1 inf + 0 138.178 * * [simplify]: Extracting #1: cost 30 inf + 0 138.178 * * [simplify]: Extracting #2: cost 138 inf + 3 138.180 * * [simplify]: Extracting #3: cost 155 inf + 3281 138.187 * * [simplify]: Extracting #4: cost 48 inf + 36193 138.201 * * [simplify]: Extracting #5: cost 0 inf + 51999 138.215 * * [simplify]: Extracting #6: cost 0 inf + 51959 138.230 * [simplify]: Simplified to (fma -1/4 (* (pow n 1/4) (* k (log n))) (fma (* (pow n 1/4) 1/32) (* (* k (log n)) (* k (log n))) (pow n 1/4))) 138.230 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (fma -1/4 (* (pow n 1/4) (* k (log n))) (fma (* (pow n 1/4) 1/32) (* (* k (log n)) (* k (log n))) (pow n 1/4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 138.230 * * * * [progress]: [ 296 / 303 ] simplifiying candidate # 138.230 * [simplify]: Simplifying (exp (* -1/4 (* (- 1 k) (log (/ 1 n))))) 138.230 * * [simplify]: iters left: 6 (10 enodes) 138.241 * * [simplify]: iters left: 5 (44 enodes) 138.254 * * [simplify]: iters left: 4 (87 enodes) 138.271 * * [simplify]: iters left: 3 (211 enodes) 138.339 * * [simplify]: Extracting #0: cost 1 inf + 0 138.340 * * [simplify]: Extracting #1: cost 32 inf + 0 138.340 * * [simplify]: Extracting #2: cost 115 inf + 2 138.340 * * [simplify]: Extracting #3: cost 148 inf + 1208 138.343 * * [simplify]: Extracting #4: cost 61 inf + 14505 138.347 * * [simplify]: Extracting #5: cost 8 inf + 26237 138.352 * * [simplify]: Extracting #6: cost 1 inf + 30263 138.357 * * [simplify]: Extracting #7: cost 0 inf + 31149 138.362 * [simplify]: Simplified to (exp (* (log n) (* 1/4 (- 1 k)))) 138.362 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (exp (* (log n) (* 1/4 (- 1 k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 138.362 * * * * [progress]: [ 297 / 303 ] simplifiying candidate # 138.362 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 138.362 * * [simplify]: iters left: 6 (13 enodes) 138.367 * * [simplify]: iters left: 5 (53 enodes) 138.378 * * [simplify]: iters left: 4 (109 enodes) 138.411 * * [simplify]: iters left: 3 (310 enodes) 138.569 * * [simplify]: Extracting #0: cost 1 inf + 0 138.569 * * [simplify]: Extracting #1: cost 34 inf + 0 138.570 * * [simplify]: Extracting #2: cost 135 inf + 73 138.572 * * [simplify]: Extracting #3: cost 197 inf + 2298 138.577 * * [simplify]: Extracting #4: cost 99 inf + 17572 138.592 * * [simplify]: Extracting #5: cost 7 inf + 39984 138.609 * * [simplify]: Extracting #6: cost 0 inf + 43037 138.621 * [simplify]: Simplified to (exp (* 1/4 (- (log n) (* k (log n))))) 138.622 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (exp (* 1/4 (- (log n) (* k (log n))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 138.622 * * * * [progress]: [ 298 / 303 ] simplifiying candidate # 138.622 * [simplify]: Simplifying (* 2 (* n PI)) 138.622 * * [simplify]: iters left: 4 (5 enodes) 138.626 * * [simplify]: iters left: 3 (19 enodes) 138.629 * * [simplify]: iters left: 2 (27 enodes) 138.634 * * [simplify]: iters left: 1 (32 enodes) 138.638 * * [simplify]: Extracting #0: cost 1 inf + 0 138.639 * * [simplify]: Extracting #1: cost 8 inf + 0 138.639 * * [simplify]: Extracting #2: cost 7 inf + 45 138.639 * * [simplify]: Extracting #3: cost 0 inf + 421 138.639 * [simplify]: Simplified to (* (* PI n) 2) 138.639 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 138.639 * * * * [progress]: [ 299 / 303 ] simplifiying candidate # 138.639 * [simplify]: Simplifying (* 2 (* n PI)) 138.639 * * [simplify]: iters left: 4 (5 enodes) 138.641 * * [simplify]: iters left: 3 (19 enodes) 138.644 * * [simplify]: iters left: 2 (27 enodes) 138.649 * * [simplify]: iters left: 1 (32 enodes) 138.656 * * [simplify]: Extracting #0: cost 1 inf + 0 138.656 * * [simplify]: Extracting #1: cost 8 inf + 0 138.656 * * [simplify]: Extracting #2: cost 7 inf + 45 138.657 * * [simplify]: Extracting #3: cost 0 inf + 421 138.657 * [simplify]: Simplified to (* (* PI n) 2) 138.657 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 138.657 * * * * [progress]: [ 300 / 303 ] simplifiying candidate # 138.657 * [simplify]: Simplifying (* 2 (* n PI)) 138.657 * * [simplify]: iters left: 4 (5 enodes) 138.660 * * [simplify]: iters left: 3 (19 enodes) 138.667 * * [simplify]: iters left: 2 (27 enodes) 138.671 * * [simplify]: iters left: 1 (32 enodes) 138.675 * * [simplify]: Extracting #0: cost 1 inf + 0 138.675 * * [simplify]: Extracting #1: cost 8 inf + 0 138.675 * * [simplify]: Extracting #2: cost 7 inf + 45 138.675 * * [simplify]: Extracting #3: cost 0 inf + 421 138.675 * [simplify]: Simplified to (* (* PI n) 2) 138.675 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 138.676 * * * * [progress]: [ 301 / 303 ] simplifiying candidate # 138.676 * [simplify]: Simplifying (- (+ (* 1/4 (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log (* 2 PI)) (* (pow k 2) (log n)))) (pow (* PI (* n 2)) 1/4))) (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (pow k 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (+ (* (pow (* PI (* n 2)) 1/4) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))) (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))))))) (+ (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) k)))) (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))) 138.676 * * [simplify]: iters left: 6 (46 enodes) 138.691 * * [simplify]: iters left: 5 (240 enodes) 138.771 * * [simplify]: Extracting #0: cost 1 inf + 0 138.771 * * [simplify]: Extracting #1: cost 22 inf + 0 138.771 * * [simplify]: Extracting #2: cost 107 inf + 1 138.773 * * [simplify]: Extracting #3: cost 231 inf + 5 138.777 * * [simplify]: Extracting #4: cost 232 inf + 14524 138.800 * * [simplify]: Extracting #5: cost 67 inf + 113010 138.824 * * [simplify]: Extracting #6: cost 4 inf + 147933 138.858 * * [simplify]: Extracting #7: cost 0 inf + 146913 138.888 * * [simplify]: Extracting #8: cost 0 inf + 146608 138.922 * [simplify]: Simplified to (- (fma (* 1/4 (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) (* (* (* k k) (log n)) (log (* 2 PI))))) (pow (* (* 2 PI) n) 1/4) (fma (* (* k k) (* (* (* (log (* 2 PI)) (log (* 2 PI))) (exp (* (+ (log n) (log (* 2 PI))) 1/4))) (pow (* (* 2 PI) n) 1/4))) 1/8 (fma (* (* (* (log n) k) (* (log n) k)) (* (pow (* (* 2 PI) n) 1/4) (exp (* (+ (log n) (log (* 2 PI))) 1/4)))) 1/8 (* (pow (* (* 2 PI) n) 1/4) (exp (* (+ (log n) (log (* 2 PI))) 1/4)))))) (* 1/2 (* (pow (* (* 2 PI) n) 1/4) (+ (* (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) k) (log (* 2 PI))) (* (* (log n) k) (exp (* (+ (log n) (log (* 2 PI))) 1/4))))))) 138.922 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (fma (* 1/4 (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) (* (* (* k k) (log n)) (log (* 2 PI))))) (pow (* (* 2 PI) n) 1/4) (fma (* (* k k) (* (* (* (log (* 2 PI)) (log (* 2 PI))) (exp (* (+ (log n) (log (* 2 PI))) 1/4))) (pow (* (* 2 PI) n) 1/4))) 1/8 (fma (* (* (* (log n) k) (* (log n) k)) (* (pow (* (* 2 PI) n) 1/4) (exp (* (+ (log n) (log (* 2 PI))) 1/4)))) 1/8 (* (pow (* (* 2 PI) n) 1/4) (exp (* (+ (log n) (log (* 2 PI))) 1/4)))))) (* 1/2 (* (pow (* (* 2 PI) n) 1/4) (+ (* (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) k) (log (* 2 PI))) (* (* (log n) k) (exp (* (+ (log n) (log (* 2 PI))) 1/4))))))) (sqrt k))) 138.922 * * * * [progress]: [ 302 / 303 ] simplifiying candidate # 138.923 * [simplify]: Simplifying (* (exp (* -1/4 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))) 138.923 * * [simplify]: iters left: 6 (24 enodes) 138.931 * * [simplify]: iters left: 5 (108 enodes) 138.967 * * [simplify]: iters left: 4 (250 enodes) 139.052 * * [simplify]: Extracting #0: cost 1 inf + 0 139.052 * * [simplify]: Extracting #1: cost 15 inf + 0 139.053 * * [simplify]: Extracting #2: cost 96 inf + 0 139.054 * * [simplify]: Extracting #3: cost 223 inf + 145 139.058 * * [simplify]: Extracting #4: cost 207 inf + 10030 139.076 * * [simplify]: Extracting #5: cost 46 inf + 54042 139.101 * * [simplify]: Extracting #6: cost 2 inf + 74187 139.117 * * [simplify]: Extracting #7: cost 0 inf + 74690 139.129 * * [simplify]: Extracting #8: cost 0 inf + 74660 139.150 * * [simplify]: Extracting #9: cost 0 inf + 74630 139.170 * [simplify]: Simplified to (exp (- (* (+ (log n) (+ (log (* 2 PI)) (log (* 2 PI)))) (* 1/4 (- 1 k))) (* (log n) (* (- 1 k) -1/4)))) 139.170 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (- (* (+ (log n) (+ (log (* 2 PI)) (log (* 2 PI)))) (* 1/4 (- 1 k))) (* (log n) (* (- 1 k) -1/4)))) (sqrt k))) 139.170 * * * * [progress]: [ 303 / 303 ] simplifiying candidate # 139.170 * [simplify]: Simplifying (* (exp (* 1/4 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))) 139.171 * * [simplify]: iters left: 6 (29 enodes) 139.180 * * [simplify]: iters left: 5 (123 enodes) 139.210 * * [simplify]: iters left: 4 (272 enodes) 139.370 * * [simplify]: Extracting #0: cost 1 inf + 0 139.370 * * [simplify]: Extracting #1: cost 15 inf + 0 139.370 * * [simplify]: Extracting #2: cost 99 inf + 0 139.372 * * [simplify]: Extracting #3: cost 271 inf + 72 139.374 * * [simplify]: Extracting #4: cost 322 inf + 871 139.379 * * [simplify]: Extracting #5: cost 247 inf + 13538 139.387 * * [simplify]: Extracting #6: cost 114 inf + 48218 139.406 * * [simplify]: Extracting #7: cost 13 inf + 94956 139.441 * * [simplify]: Extracting #8: cost 0 inf + 101796 139.467 * * [simplify]: Extracting #9: cost 0 inf + 101051 139.484 * [simplify]: Simplified to (exp (* (* (- 1 k) 1/4) (+ (+ 0 (log n)) (- (log (* PI -2)) (- (log (/ -1 n)) (log (* PI 2))))))) 139.484 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (* (- 1 k) 1/4) (+ (+ 0 (log n)) (- (log (* PI -2)) (- (log (/ -1 n)) (log (* PI 2))))))) (sqrt k))) 139.485 * * * [progress]: adding candidates to table 144.022 * [progress]: [Phase 3 of 3] Extracting. 144.022 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 144.023 * * * [regime-changes]: Trying 2 branch expressions: (n k) 144.023 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 144.101 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 144.186 * * * [regime]: Found split indices: #