0.003 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.207 * * * [progress]: [2/2] Setting up program. 0.213 * [progress]: [Phase 2 of 3] Improving. 0.214 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.214 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.214 * * [simplify]: iters left: 6 (13 enodes) 0.221 * * [simplify]: iters left: 5 (57 enodes) 0.240 * * [simplify]: iters left: 4 (96 enodes) 0.274 * * [simplify]: iters left: 3 (172 enodes) 0.346 * * [simplify]: iters left: 2 (338 enodes) 0.477 * * [simplify]: Extracting #0: cost 1 inf + 0 0.477 * * [simplify]: Extracting #1: cost 41 inf + 0 0.478 * * [simplify]: Extracting #2: cost 120 inf + 1 0.479 * * [simplify]: Extracting #3: cost 166 inf + 127 0.480 * * [simplify]: Extracting #4: cost 163 inf + 676 0.484 * * [simplify]: Extracting #5: cost 119 inf + 8991 0.493 * * [simplify]: Extracting #6: cost 63 inf + 29786 0.515 * * [simplify]: Extracting #7: cost 6 inf + 73494 0.544 * * [simplify]: Extracting #8: cost 0 inf + 78104 0.569 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.569 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.581 * * [progress]: iteration 1 / 4 0.581 * * * [progress]: picking best candidate 0.592 * * * * [pick]: Picked # 0.592 * * * [progress]: localizing error 0.635 * * * [progress]: generating rewritten candidates 0.636 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.654 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.668 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.689 * * * [progress]: generating series expansions 0.689 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.690 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.690 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.690 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.690 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.690 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.690 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.690 * [taylor]: Taking taylor expansion of 1/2 in k 0.690 * [backup-simplify]: Simplify 1/2 into 1/2 0.691 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.691 * [taylor]: Taking taylor expansion of 1 in k 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [taylor]: Taking taylor expansion of k in k 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.691 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.691 * [taylor]: Taking taylor expansion of 2 in k 0.691 * [backup-simplify]: Simplify 2 into 2 0.691 * [taylor]: Taking taylor expansion of (* n PI) in k 0.691 * [taylor]: Taking taylor expansion of n in k 0.691 * [backup-simplify]: Simplify n into n 0.691 * [taylor]: Taking taylor expansion of PI in k 0.691 * [backup-simplify]: Simplify PI into PI 0.691 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.691 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.691 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.692 * [backup-simplify]: Simplify (- 0) into 0 0.692 * [backup-simplify]: Simplify (+ 1 0) into 1 0.692 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.692 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.693 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.693 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.693 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.693 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.693 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.693 * [taylor]: Taking taylor expansion of 1/2 in n 0.693 * [backup-simplify]: Simplify 1/2 into 1/2 0.693 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.693 * [taylor]: Taking taylor expansion of 1 in n 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [taylor]: Taking taylor expansion of k in n 0.693 * [backup-simplify]: Simplify k into k 0.693 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.693 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.693 * [taylor]: Taking taylor expansion of 2 in n 0.693 * [backup-simplify]: Simplify 2 into 2 0.693 * [taylor]: Taking taylor expansion of (* n PI) in n 0.693 * [taylor]: Taking taylor expansion of n in n 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [taylor]: Taking taylor expansion of PI in n 0.693 * [backup-simplify]: Simplify PI into PI 0.694 * [backup-simplify]: Simplify (* 0 PI) into 0 0.694 * [backup-simplify]: Simplify (* 2 0) into 0 0.696 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.697 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.698 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.698 * [backup-simplify]: Simplify (- k) into (- k) 0.698 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.698 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.700 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.701 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.702 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.702 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.702 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.702 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.702 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.702 * [taylor]: Taking taylor expansion of 1/2 in n 0.702 * [backup-simplify]: Simplify 1/2 into 1/2 0.702 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.702 * [taylor]: Taking taylor expansion of 1 in n 0.702 * [backup-simplify]: Simplify 1 into 1 0.702 * [taylor]: Taking taylor expansion of k in n 0.702 * [backup-simplify]: Simplify k into k 0.702 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.702 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.702 * [taylor]: Taking taylor expansion of 2 in n 0.702 * [backup-simplify]: Simplify 2 into 2 0.702 * [taylor]: Taking taylor expansion of (* n PI) in n 0.703 * [taylor]: Taking taylor expansion of n in n 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.703 * [taylor]: Taking taylor expansion of PI in n 0.703 * [backup-simplify]: Simplify PI into PI 0.703 * [backup-simplify]: Simplify (* 0 PI) into 0 0.704 * [backup-simplify]: Simplify (* 2 0) into 0 0.705 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.706 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.707 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.707 * [backup-simplify]: Simplify (- k) into (- k) 0.707 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.707 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.709 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.710 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.711 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.711 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.711 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.711 * [taylor]: Taking taylor expansion of 1/2 in k 0.711 * [backup-simplify]: Simplify 1/2 into 1/2 0.711 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.711 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.711 * [taylor]: Taking taylor expansion of 1 in k 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [taylor]: Taking taylor expansion of k in k 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.711 * [taylor]: Taking taylor expansion of (log n) in k 0.711 * [taylor]: Taking taylor expansion of n in k 0.711 * [backup-simplify]: Simplify n into n 0.711 * [backup-simplify]: Simplify (log n) into (log n) 0.711 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.711 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.711 * [taylor]: Taking taylor expansion of 2 in k 0.711 * [backup-simplify]: Simplify 2 into 2 0.711 * [taylor]: Taking taylor expansion of PI in k 0.712 * [backup-simplify]: Simplify PI into PI 0.712 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.713 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.713 * [backup-simplify]: Simplify (- 0) into 0 0.714 * [backup-simplify]: Simplify (+ 1 0) into 1 0.715 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.716 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.717 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.718 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.719 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.721 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.723 * [backup-simplify]: Simplify (- 0) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.725 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.726 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.728 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.728 * [taylor]: Taking taylor expansion of 0 in k 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.729 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [backup-simplify]: Simplify (- 1) into -1 0.732 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.736 * [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))))) 0.738 * [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))))))) 0.741 * [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))))))) 0.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.744 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.747 * [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 0.747 * [backup-simplify]: Simplify (- 0) into 0 0.748 * [backup-simplify]: Simplify (+ 0 0) into 0 0.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.750 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.751 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.754 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.754 * [taylor]: Taking taylor expansion of 0 in k 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.757 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.760 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.761 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (- 0) into 0 0.761 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.770 * [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))))) 0.775 * [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))))) 0.788 * [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))))) 0.789 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.789 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.789 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.789 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.789 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.789 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.789 * [taylor]: Taking taylor expansion of 1/2 in k 0.789 * [backup-simplify]: Simplify 1/2 into 1/2 0.789 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.789 * [taylor]: Taking taylor expansion of 1 in k 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.789 * [taylor]: Taking taylor expansion of k in k 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify (/ 1 1) into 1 0.789 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.789 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.789 * [taylor]: Taking taylor expansion of 2 in k 0.789 * [backup-simplify]: Simplify 2 into 2 0.789 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.789 * [taylor]: Taking taylor expansion of PI in k 0.790 * [backup-simplify]: Simplify PI into PI 0.790 * [taylor]: Taking taylor expansion of n in k 0.790 * [backup-simplify]: Simplify n into n 0.790 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.790 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.790 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.790 * [backup-simplify]: Simplify (- 1) into -1 0.791 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.791 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.792 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.792 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.792 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.792 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.792 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.792 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.792 * [taylor]: Taking taylor expansion of 1/2 in n 0.792 * [backup-simplify]: Simplify 1/2 into 1/2 0.792 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.792 * [taylor]: Taking taylor expansion of 1 in n 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.792 * [taylor]: Taking taylor expansion of k in n 0.792 * [backup-simplify]: Simplify k into k 0.792 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.792 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.792 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.792 * [taylor]: Taking taylor expansion of 2 in n 0.792 * [backup-simplify]: Simplify 2 into 2 0.792 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.792 * [taylor]: Taking taylor expansion of PI in n 0.792 * [backup-simplify]: Simplify PI into PI 0.792 * [taylor]: Taking taylor expansion of n in n 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (/ PI 1) into PI 0.793 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.794 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.794 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.794 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.794 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.797 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.798 * [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))))) 0.798 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.798 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.798 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.798 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.798 * [taylor]: Taking taylor expansion of 1/2 in n 0.798 * [backup-simplify]: Simplify 1/2 into 1/2 0.798 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.798 * [taylor]: Taking taylor expansion of 1 in n 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.798 * [taylor]: Taking taylor expansion of k in n 0.798 * [backup-simplify]: Simplify k into k 0.798 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.798 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.798 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.798 * [taylor]: Taking taylor expansion of 2 in n 0.798 * [backup-simplify]: Simplify 2 into 2 0.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.798 * [taylor]: Taking taylor expansion of PI in n 0.798 * [backup-simplify]: Simplify PI into PI 0.799 * [taylor]: Taking taylor expansion of n in n 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (/ PI 1) into PI 0.799 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.800 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.800 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.801 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.801 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.802 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.803 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.804 * [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))))) 0.804 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.804 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 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 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.804 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 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 (/ 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 0.805 * [backup-simplify]: Simplify (/ 1 1) into 1 0.805 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.805 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.805 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.805 * [taylor]: Taking taylor expansion of 2 in k 0.805 * [backup-simplify]: Simplify 2 into 2 0.805 * [taylor]: Taking taylor expansion of PI in k 0.805 * [backup-simplify]: Simplify PI into PI 0.805 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.806 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.806 * [taylor]: Taking taylor expansion of (log n) in k 0.806 * [taylor]: Taking taylor expansion of n in k 0.806 * [backup-simplify]: Simplify n into n 0.807 * [backup-simplify]: Simplify (log n) into (log n) 0.807 * [backup-simplify]: Simplify (- 1) into -1 0.807 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.807 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.808 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.809 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.810 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.811 * [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))))) 0.812 * [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))))) 0.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.817 * [backup-simplify]: Simplify (- 0) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.819 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.820 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.822 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.822 * [taylor]: Taking taylor expansion of 0 in k 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.825 * [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 0.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.825 * [backup-simplify]: Simplify (- 0) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.827 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.828 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.829 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.829 * [taylor]: Taking taylor expansion of 0 in k 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.833 * [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 0.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.834 * [backup-simplify]: Simplify (- 0) into 0 0.834 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.836 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.837 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.838 * [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 0.838 * [taylor]: Taking taylor expansion of 0 in k 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.839 * [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)))))) 0.839 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.839 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.839 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.839 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.839 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.839 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.839 * [taylor]: Taking taylor expansion of 1/2 in k 0.839 * [backup-simplify]: Simplify 1/2 into 1/2 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.840 * [taylor]: Taking taylor expansion of k in k 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [backup-simplify]: Simplify (/ 1 1) into 1 0.840 * [taylor]: Taking taylor expansion of 1 in k 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.840 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.840 * [taylor]: Taking taylor expansion of -2 in k 0.840 * [backup-simplify]: Simplify -2 into -2 0.840 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.840 * [taylor]: Taking taylor expansion of PI in k 0.840 * [backup-simplify]: Simplify PI into PI 0.840 * [taylor]: Taking taylor expansion of n in k 0.840 * [backup-simplify]: Simplify n into n 0.840 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.840 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.840 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.840 * [backup-simplify]: Simplify (+ 1 0) into 1 0.841 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.841 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.841 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.841 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.841 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.841 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.841 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.841 * [taylor]: Taking taylor expansion of 1/2 in n 0.841 * [backup-simplify]: Simplify 1/2 into 1/2 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.841 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.841 * [taylor]: Taking taylor expansion of k in n 0.841 * [backup-simplify]: Simplify k into k 0.841 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.841 * [taylor]: Taking taylor expansion of 1 in n 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.841 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.841 * [taylor]: Taking taylor expansion of -2 in n 0.841 * [backup-simplify]: Simplify -2 into -2 0.841 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.841 * [taylor]: Taking taylor expansion of PI in n 0.841 * [backup-simplify]: Simplify PI into PI 0.841 * [taylor]: Taking taylor expansion of n in n 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (/ PI 1) into PI 0.842 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.842 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.843 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.843 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.843 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.844 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.845 * [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))))) 0.845 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.845 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.845 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.845 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.845 * [taylor]: Taking taylor expansion of 1/2 in n 0.845 * [backup-simplify]: Simplify 1/2 into 1/2 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.845 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.845 * [taylor]: Taking taylor expansion of k in n 0.845 * [backup-simplify]: Simplify k into k 0.845 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.845 * [taylor]: Taking taylor expansion of 1 in n 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.845 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) 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 (/ PI n) in n 0.845 * [taylor]: Taking taylor expansion of PI in n 0.845 * [backup-simplify]: Simplify PI into PI 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 * [backup-simplify]: Simplify (/ PI 1) into PI 0.846 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.847 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.847 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.847 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.849 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.850 * [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))))) 0.850 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.850 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.850 * [taylor]: Taking taylor expansion of 1/2 in k 0.850 * [backup-simplify]: Simplify 1/2 into 1/2 0.850 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.851 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.851 * [taylor]: Taking taylor expansion of k in k 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (/ 1 1) into 1 0.851 * [taylor]: Taking taylor expansion of 1 in k 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.851 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.851 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.851 * [taylor]: Taking taylor expansion of -2 in k 0.851 * [backup-simplify]: Simplify -2 into -2 0.851 * [taylor]: Taking taylor expansion of PI in k 0.851 * [backup-simplify]: Simplify PI into PI 0.852 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.853 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.853 * [taylor]: Taking taylor expansion of (log n) in k 0.853 * [taylor]: Taking taylor expansion of n in k 0.853 * [backup-simplify]: Simplify n into n 0.853 * [backup-simplify]: Simplify (log n) into (log n) 0.853 * [backup-simplify]: Simplify (+ 1 0) into 1 0.853 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.854 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.855 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.856 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.857 * [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))))) 0.858 * [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))))) 0.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.863 * [backup-simplify]: Simplify (+ 0 0) into 0 0.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.865 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.866 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.867 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.867 * [taylor]: Taking taylor expansion of 0 in k 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.873 * [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 0.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.874 * [backup-simplify]: Simplify (+ 0 0) into 0 0.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.876 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.877 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.880 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.880 * [taylor]: Taking taylor expansion of 0 in k 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.888 * [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 0.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.892 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.894 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.896 * [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 0.896 * [taylor]: Taking taylor expansion of 0 in k 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.898 * [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)))))) 0.898 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.899 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.899 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.899 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.899 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.899 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.899 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.899 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.899 * [taylor]: Taking taylor expansion of 1/2 in k 0.899 * [backup-simplify]: Simplify 1/2 into 1/2 0.899 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.899 * [taylor]: Taking taylor expansion of 1 in k 0.899 * [backup-simplify]: Simplify 1 into 1 0.899 * [taylor]: Taking taylor expansion of k in k 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.899 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.899 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.899 * [taylor]: Taking taylor expansion of 2 in k 0.899 * [backup-simplify]: Simplify 2 into 2 0.899 * [taylor]: Taking taylor expansion of (* n PI) in k 0.899 * [taylor]: Taking taylor expansion of n in k 0.899 * [backup-simplify]: Simplify n into n 0.899 * [taylor]: Taking taylor expansion of PI in k 0.899 * [backup-simplify]: Simplify PI into PI 0.899 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.899 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.899 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.900 * [backup-simplify]: Simplify (- 0) into 0 0.900 * [backup-simplify]: Simplify (+ 1 0) into 1 0.901 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.901 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.901 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.901 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.901 * [taylor]: Taking taylor expansion of k in k 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify (/ 1 1) into 1 0.902 * [backup-simplify]: Simplify (sqrt 0) into 0 0.906 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.906 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.906 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.907 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.907 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.907 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.907 * [taylor]: Taking taylor expansion of 1/2 in n 0.907 * [backup-simplify]: Simplify 1/2 into 1/2 0.907 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.907 * [taylor]: Taking taylor expansion of 1 in n 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [taylor]: Taking taylor expansion of k in n 0.907 * [backup-simplify]: Simplify k into k 0.907 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.907 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.907 * [taylor]: Taking taylor expansion of 2 in n 0.907 * [backup-simplify]: Simplify 2 into 2 0.907 * [taylor]: Taking taylor expansion of (* n PI) in n 0.907 * [taylor]: Taking taylor expansion of n in n 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [taylor]: Taking taylor expansion of PI in n 0.907 * [backup-simplify]: Simplify PI into PI 0.908 * [backup-simplify]: Simplify (* 0 PI) into 0 0.908 * [backup-simplify]: Simplify (* 2 0) into 0 0.909 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.911 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.912 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.912 * [backup-simplify]: Simplify (- k) into (- k) 0.912 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.912 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.914 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.915 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.916 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.916 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.916 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.916 * [taylor]: Taking taylor expansion of k in n 0.916 * [backup-simplify]: Simplify k into k 0.916 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.916 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.916 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.916 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.916 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.916 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.917 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.917 * [taylor]: Taking taylor expansion of 1/2 in n 0.917 * [backup-simplify]: Simplify 1/2 into 1/2 0.917 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.917 * [taylor]: Taking taylor expansion of 1 in n 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [taylor]: Taking taylor expansion of k in n 0.917 * [backup-simplify]: Simplify k into k 0.917 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.917 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.917 * [taylor]: Taking taylor expansion of 2 in n 0.917 * [backup-simplify]: Simplify 2 into 2 0.917 * [taylor]: Taking taylor expansion of (* n PI) in n 0.917 * [taylor]: Taking taylor expansion of n in n 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [taylor]: Taking taylor expansion of PI in n 0.917 * [backup-simplify]: Simplify PI into PI 0.917 * [backup-simplify]: Simplify (* 0 PI) into 0 0.918 * [backup-simplify]: Simplify (* 2 0) into 0 0.919 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.921 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.922 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.922 * [backup-simplify]: Simplify (- k) into (- k) 0.922 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.922 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.923 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.923 * [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)) 0.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.925 * [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))) 0.925 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.925 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.925 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.925 * [taylor]: Taking taylor expansion of 1/2 in k 0.925 * [backup-simplify]: Simplify 1/2 into 1/2 0.925 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.925 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.925 * [taylor]: Taking taylor expansion of 1 in k 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [taylor]: Taking taylor expansion of k in k 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.925 * [taylor]: Taking taylor expansion of (log n) in k 0.925 * [taylor]: Taking taylor expansion of n in k 0.925 * [backup-simplify]: Simplify n into n 0.925 * [backup-simplify]: Simplify (log n) into (log n) 0.925 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.925 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.925 * [taylor]: Taking taylor expansion of 2 in k 0.925 * [backup-simplify]: Simplify 2 into 2 0.925 * [taylor]: Taking taylor expansion of PI in k 0.925 * [backup-simplify]: Simplify PI into PI 0.926 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.926 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.927 * [backup-simplify]: Simplify (- 0) into 0 0.927 * [backup-simplify]: Simplify (+ 1 0) into 1 0.928 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.928 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.929 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.930 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.930 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.930 * [taylor]: Taking taylor expansion of k in k 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (/ 1 1) into 1 0.930 * [backup-simplify]: Simplify (sqrt 0) into 0 0.931 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.931 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.933 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.934 * [backup-simplify]: Simplify (- 0) into 0 0.934 * [backup-simplify]: Simplify (+ 0 0) into 0 0.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.935 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.936 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.937 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.938 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.938 * [taylor]: Taking taylor expansion of 0 in k 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.938 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.940 * [backup-simplify]: Simplify (+ 0 0) into 0 0.940 * [backup-simplify]: Simplify (- 1) into -1 0.940 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.942 * [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))))) 0.944 * [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))))))) 0.946 * [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))))))) 0.947 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.948 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.949 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.951 * [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 0.951 * [backup-simplify]: Simplify (- 0) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.952 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.953 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.955 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.956 * [taylor]: Taking taylor expansion of 0 in k 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.960 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.961 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.964 * [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 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [backup-simplify]: Simplify (- 0) into 0 0.965 * [backup-simplify]: Simplify (+ 0 0) into 0 0.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.973 * [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))))) 0.980 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 0.983 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 0.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.985 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.988 * [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 0.988 * [backup-simplify]: Simplify (- 0) into 0 0.988 * [backup-simplify]: Simplify (+ 0 0) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 0.990 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.991 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.992 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.994 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 0.994 * [taylor]: Taking taylor expansion of 0 in k 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.998 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 0.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.003 * [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 1.004 * [backup-simplify]: Simplify (+ 0 0) into 0 1.004 * [backup-simplify]: Simplify (- 0) into 0 1.004 * [backup-simplify]: Simplify (+ 0 0) into 0 1.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.011 * [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))))))) 1.025 * [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)))))))))))))) 1.037 * [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)))))))))))))) 1.055 * [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)))))))))))))))))))))) 1.056 * [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)) 1.056 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.056 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.056 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.056 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.056 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.056 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.056 * [taylor]: Taking taylor expansion of 1/2 in k 1.056 * [backup-simplify]: Simplify 1/2 into 1/2 1.056 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.056 * [taylor]: Taking taylor expansion of 1 in k 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.056 * [taylor]: Taking taylor expansion of k in k 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * [backup-simplify]: Simplify (/ 1 1) into 1 1.056 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.056 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.056 * [taylor]: Taking taylor expansion of 2 in k 1.057 * [backup-simplify]: Simplify 2 into 2 1.057 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.057 * [taylor]: Taking taylor expansion of PI in k 1.057 * [backup-simplify]: Simplify PI into PI 1.057 * [taylor]: Taking taylor expansion of n in k 1.057 * [backup-simplify]: Simplify n into n 1.057 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.057 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.057 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.057 * [backup-simplify]: Simplify (- 1) into -1 1.058 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.058 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.058 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.058 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.058 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.058 * [taylor]: Taking taylor expansion of k in k 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.059 * [backup-simplify]: Simplify (sqrt 0) into 0 1.060 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.060 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.060 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.060 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.060 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.060 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.060 * [taylor]: Taking taylor expansion of 1/2 in n 1.060 * [backup-simplify]: Simplify 1/2 into 1/2 1.061 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.061 * [taylor]: Taking taylor expansion of 1 in n 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.061 * [taylor]: Taking taylor expansion of k in n 1.061 * [backup-simplify]: Simplify k into k 1.061 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.061 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.061 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.061 * [taylor]: Taking taylor expansion of 2 in n 1.061 * [backup-simplify]: Simplify 2 into 2 1.061 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.061 * [taylor]: Taking taylor expansion of PI in n 1.061 * [backup-simplify]: Simplify PI into PI 1.061 * [taylor]: Taking taylor expansion of n in n 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [backup-simplify]: Simplify (/ PI 1) into PI 1.062 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.063 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.063 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.063 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.063 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.064 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.065 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.067 * [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))))) 1.067 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.067 * [taylor]: Taking taylor expansion of k in n 1.067 * [backup-simplify]: Simplify k into k 1.067 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.067 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.067 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.067 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.067 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.067 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.067 * [taylor]: Taking taylor expansion of 1/2 in n 1.067 * [backup-simplify]: Simplify 1/2 into 1/2 1.067 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.067 * [taylor]: Taking taylor expansion of 1 in n 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.067 * [taylor]: Taking taylor expansion of k in n 1.067 * [backup-simplify]: Simplify k into k 1.067 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.067 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.067 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.067 * [taylor]: Taking taylor expansion of 2 in n 1.067 * [backup-simplify]: Simplify 2 into 2 1.067 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.067 * [taylor]: Taking taylor expansion of PI in n 1.067 * [backup-simplify]: Simplify PI into PI 1.068 * [taylor]: Taking taylor expansion of n in n 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (/ PI 1) into PI 1.068 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.069 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.070 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.070 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.070 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.071 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.072 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.073 * [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))))) 1.074 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.074 * [taylor]: Taking taylor expansion of k in n 1.074 * [backup-simplify]: Simplify k into k 1.074 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.075 * [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)) 1.075 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.075 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.075 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.075 * [taylor]: Taking taylor expansion of 1/2 in k 1.075 * [backup-simplify]: Simplify 1/2 into 1/2 1.075 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.075 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.075 * [taylor]: Taking taylor expansion of 1 in k 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.075 * [taylor]: Taking taylor expansion of k in k 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (/ 1 1) into 1 1.076 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.076 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.076 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.076 * [taylor]: Taking taylor expansion of 2 in k 1.076 * [backup-simplify]: Simplify 2 into 2 1.076 * [taylor]: Taking taylor expansion of PI in k 1.076 * [backup-simplify]: Simplify PI into PI 1.076 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.077 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.077 * [taylor]: Taking taylor expansion of (log n) in k 1.077 * [taylor]: Taking taylor expansion of n in k 1.077 * [backup-simplify]: Simplify n into n 1.077 * [backup-simplify]: Simplify (log n) into (log n) 1.078 * [backup-simplify]: Simplify (- 1) into -1 1.078 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.078 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.079 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.080 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.081 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.082 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.082 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.083 * [taylor]: Taking taylor expansion of k in k 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (sqrt 0) into 0 1.084 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.085 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.087 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.089 * [backup-simplify]: Simplify (- 0) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.092 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.093 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.094 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.096 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.096 * [taylor]: Taking taylor expansion of 0 in k 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 0 into 0 1.097 * [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))))))) 1.098 * [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))))))) 1.099 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.100 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.102 * [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 1.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.102 * [backup-simplify]: Simplify (- 0) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.104 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.105 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.106 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.107 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.107 * [taylor]: Taking taylor expansion of 0 in k 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.110 * [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))))))) 1.111 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.112 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.115 * [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 1.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.116 * [backup-simplify]: Simplify (- 0) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.119 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.121 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.122 * [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 1.123 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.123 * [taylor]: Taking taylor expansion of 0 in k 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.127 * [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))))))) 1.128 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.133 * [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)))))))) 1.133 * [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))) 1.133 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.133 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.134 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.134 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.134 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.134 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.134 * [taylor]: Taking taylor expansion of 1/2 in k 1.134 * [backup-simplify]: Simplify 1/2 into 1/2 1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.134 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.134 * [taylor]: Taking taylor expansion of k in k 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [backup-simplify]: Simplify (/ 1 1) into 1 1.134 * [taylor]: Taking taylor expansion of 1 in k 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.134 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.134 * [taylor]: Taking taylor expansion of -2 in k 1.135 * [backup-simplify]: Simplify -2 into -2 1.135 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.135 * [taylor]: Taking taylor expansion of PI in k 1.135 * [backup-simplify]: Simplify PI into PI 1.135 * [taylor]: Taking taylor expansion of n in k 1.135 * [backup-simplify]: Simplify n into n 1.135 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.135 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.135 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.135 * [backup-simplify]: Simplify (+ 1 0) into 1 1.136 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.136 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.136 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.136 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.136 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.136 * [taylor]: Taking taylor expansion of -1 in k 1.136 * [backup-simplify]: Simplify -1 into -1 1.136 * [taylor]: Taking taylor expansion of k in k 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify (/ -1 1) into -1 1.137 * [backup-simplify]: Simplify (sqrt 0) into 0 1.138 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.139 * [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))))) 1.139 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.139 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.139 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.139 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.139 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.139 * [taylor]: Taking taylor expansion of 1/2 in n 1.139 * [backup-simplify]: Simplify 1/2 into 1/2 1.139 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.139 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.139 * [taylor]: Taking taylor expansion of k in n 1.139 * [backup-simplify]: Simplify k into k 1.139 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.139 * [taylor]: Taking taylor expansion of 1 in n 1.139 * [backup-simplify]: Simplify 1 into 1 1.139 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.139 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.139 * [taylor]: Taking taylor expansion of -2 in n 1.139 * [backup-simplify]: Simplify -2 into -2 1.139 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.139 * [taylor]: Taking taylor expansion of PI in n 1.139 * [backup-simplify]: Simplify PI into PI 1.139 * [taylor]: Taking taylor expansion of n in n 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 1 into 1 1.140 * [backup-simplify]: Simplify (/ PI 1) into PI 1.140 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.141 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.141 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.141 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.143 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.144 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.145 * [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))))) 1.145 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.145 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.145 * [taylor]: Taking taylor expansion of -1 in n 1.145 * [backup-simplify]: Simplify -1 into -1 1.145 * [taylor]: Taking taylor expansion of k in n 1.145 * [backup-simplify]: Simplify k into k 1.145 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.145 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.145 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.147 * [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))) 1.147 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.147 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.147 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.147 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.147 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.147 * [taylor]: Taking taylor expansion of 1/2 in n 1.147 * [backup-simplify]: Simplify 1/2 into 1/2 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.147 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.147 * [taylor]: Taking taylor expansion of k in n 1.147 * [backup-simplify]: Simplify k into k 1.147 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.147 * [taylor]: Taking taylor expansion of 1 in n 1.147 * [backup-simplify]: Simplify 1 into 1 1.147 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.147 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.147 * [taylor]: Taking taylor expansion of -2 in n 1.147 * [backup-simplify]: Simplify -2 into -2 1.147 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.147 * [taylor]: Taking taylor expansion of PI in n 1.147 * [backup-simplify]: Simplify PI into PI 1.147 * [taylor]: Taking taylor expansion of n in n 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 1 into 1 1.148 * [backup-simplify]: Simplify (/ PI 1) into PI 1.148 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.149 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.149 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.149 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.150 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.151 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.152 * [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))))) 1.152 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.152 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.152 * [taylor]: Taking taylor expansion of -1 in n 1.152 * [backup-simplify]: Simplify -1 into -1 1.152 * [taylor]: Taking taylor expansion of k in n 1.152 * [backup-simplify]: Simplify k into k 1.153 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.153 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.153 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.154 * [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))) 1.154 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.154 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.154 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.154 * [taylor]: Taking taylor expansion of 1/2 in k 1.154 * [backup-simplify]: Simplify 1/2 into 1/2 1.154 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.155 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.155 * [taylor]: Taking taylor expansion of k in k 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (/ 1 1) into 1 1.155 * [taylor]: Taking taylor expansion of 1 in k 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.155 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.155 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.155 * [taylor]: Taking taylor expansion of -2 in k 1.155 * [backup-simplify]: Simplify -2 into -2 1.155 * [taylor]: Taking taylor expansion of PI in k 1.155 * [backup-simplify]: Simplify PI into PI 1.156 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.157 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.157 * [taylor]: Taking taylor expansion of (log n) in k 1.157 * [taylor]: Taking taylor expansion of n in k 1.157 * [backup-simplify]: Simplify n into n 1.157 * [backup-simplify]: Simplify (log n) into (log n) 1.157 * [backup-simplify]: Simplify (+ 1 0) into 1 1.157 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.158 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.159 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.160 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.161 * [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))))) 1.161 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.161 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.161 * [taylor]: Taking taylor expansion of -1 in k 1.161 * [backup-simplify]: Simplify -1 into -1 1.161 * [taylor]: Taking taylor expansion of k in k 1.161 * [backup-simplify]: Simplify 0 into 0 1.161 * [backup-simplify]: Simplify 1 into 1 1.162 * [backup-simplify]: Simplify (/ -1 1) into -1 1.162 * [backup-simplify]: Simplify (sqrt 0) into 0 1.164 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.165 * [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)))))) 1.166 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.168 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.170 * [backup-simplify]: Simplify (+ 0 0) into 0 1.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.171 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.172 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.173 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.174 * [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 1.174 * [taylor]: Taking taylor expansion of 0 in k 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.176 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.177 * [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))))))) 1.178 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.181 * [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 1.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.181 * [backup-simplify]: Simplify (+ 0 0) into 0 1.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.182 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.183 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.185 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.185 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.185 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.186 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1.186 * [taylor]: Taking taylor expansion of 0 in k 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.191 * [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))))))) 1.192 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.194 * [backup-simplify]: Simplify (+ (* (- (* +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)))))))))))) 1.194 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.195 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 1.195 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1.195 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.195 * [taylor]: Taking taylor expansion of 2 in n 1.195 * [backup-simplify]: Simplify 2 into 2 1.195 * [taylor]: Taking taylor expansion of (* n PI) in n 1.195 * [taylor]: Taking taylor expansion of n in n 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [taylor]: Taking taylor expansion of PI in n 1.195 * [backup-simplify]: Simplify PI into PI 1.195 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.195 * [taylor]: Taking taylor expansion of 2 in n 1.195 * [backup-simplify]: Simplify 2 into 2 1.195 * [taylor]: Taking taylor expansion of (* n PI) in n 1.195 * [taylor]: Taking taylor expansion of n in n 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [taylor]: Taking taylor expansion of PI in n 1.195 * [backup-simplify]: Simplify PI into PI 1.195 * [backup-simplify]: Simplify (* 0 PI) into 0 1.195 * [backup-simplify]: Simplify (* 2 0) into 0 1.195 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.197 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.198 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.199 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.199 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.202 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.205 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.205 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.208 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1.208 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1.216 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1.217 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 1.217 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1.217 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.217 * [taylor]: Taking taylor expansion of 2 in n 1.217 * [backup-simplify]: Simplify 2 into 2 1.217 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.217 * [taylor]: Taking taylor expansion of PI in n 1.217 * [backup-simplify]: Simplify PI into PI 1.217 * [taylor]: Taking taylor expansion of n in n 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (/ PI 1) into PI 1.218 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.218 * [taylor]: Taking taylor expansion of 2 in n 1.218 * [backup-simplify]: Simplify 2 into 2 1.218 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.218 * [taylor]: Taking taylor expansion of PI in n 1.218 * [backup-simplify]: Simplify PI into PI 1.218 * [taylor]: Taking taylor expansion of n in n 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (/ PI 1) into PI 1.219 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.219 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.221 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.223 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.223 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.225 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.225 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.228 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.228 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.230 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.230 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1.234 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 1.234 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1.234 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.234 * [taylor]: Taking taylor expansion of -2 in n 1.235 * [backup-simplify]: Simplify -2 into -2 1.235 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.235 * [taylor]: Taking taylor expansion of PI in n 1.235 * [backup-simplify]: Simplify PI into PI 1.235 * [taylor]: Taking taylor expansion of n in n 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 1 into 1 1.235 * [backup-simplify]: Simplify (/ PI 1) into PI 1.235 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.235 * [taylor]: Taking taylor expansion of -2 in n 1.235 * [backup-simplify]: Simplify -2 into -2 1.235 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.235 * [taylor]: Taking taylor expansion of PI in n 1.235 * [backup-simplify]: Simplify PI into PI 1.235 * [taylor]: Taking taylor expansion of n in n 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 1 into 1 1.235 * [backup-simplify]: Simplify (/ PI 1) into PI 1.236 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.236 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.237 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.238 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.238 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.241 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.242 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.242 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.244 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1.244 * * * [progress]: simplifying candidates 1.244 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 1.245 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.245 * * [simplify]: iters left: 6 (13 enodes) 1.249 * * [simplify]: iters left: 5 (54 enodes) 1.258 * * [simplify]: iters left: 4 (97 enodes) 1.277 * * [simplify]: iters left: 3 (242 enodes) 1.344 * * [simplify]: Extracting #0: cost 1 inf + 0 1.344 * * [simplify]: Extracting #1: cost 28 inf + 0 1.345 * * [simplify]: Extracting #2: cost 93 inf + 2 1.345 * * [simplify]: Extracting #3: cost 139 inf + 75 1.346 * * [simplify]: Extracting #4: cost 102 inf + 5195 1.350 * * [simplify]: Extracting #5: cost 14 inf + 28777 1.357 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.363 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.363 * [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))) 1.363 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 1.363 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.363 * * [simplify]: iters left: 6 (12 enodes) 1.367 * * [simplify]: iters left: 5 (52 enodes) 1.376 * * [simplify]: iters left: 4 (90 enodes) 1.395 * * [simplify]: iters left: 3 (201 enodes) 1.452 * * [simplify]: iters left: 2 (496 enodes) 1.790 * * [simplify]: Extracting #0: cost 1 inf + 0 1.791 * * [simplify]: Extracting #1: cost 22 inf + 0 1.791 * * [simplify]: Extracting #2: cost 122 inf + 2 1.793 * * [simplify]: Extracting #3: cost 296 inf + 186 1.797 * * [simplify]: Extracting #4: cost 252 inf + 7310 1.815 * * [simplify]: Extracting #5: cost 66 inf + 59079 1.831 * * [simplify]: Extracting #6: cost 1 inf + 82178 1.853 * * [simplify]: Extracting #7: cost 0 inf + 82436 1.874 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.874 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.875 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 1.875 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.875 * * [simplify]: iters left: 6 (11 enodes) 1.878 * * [simplify]: iters left: 5 (51 enodes) 1.888 * * [simplify]: iters left: 4 (97 enodes) 1.921 * * [simplify]: iters left: 3 (197 enodes) 1.991 * * [simplify]: iters left: 2 (491 enodes) 2.259 * * [simplify]: Extracting #0: cost 1 inf + 0 2.259 * * [simplify]: Extracting #1: cost 27 inf + 0 2.259 * * [simplify]: Extracting #2: cost 139 inf + 2 2.260 * * [simplify]: Extracting #3: cost 300 inf + 382 2.263 * * [simplify]: Extracting #4: cost 242 inf + 10228 2.278 * * [simplify]: Extracting #5: cost 53 inf + 57829 2.308 * * [simplify]: Extracting #6: cost 2 inf + 73504 2.324 * * [simplify]: Extracting #7: cost 0 inf + 74187 2.342 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 2.342 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 2.343 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 2.343 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 2.343 * [simplify]: Simplifying (* n (* 2 PI)) 2.343 * * [simplify]: iters left: 4 (5 enodes) 2.346 * * [simplify]: iters left: 3 (19 enodes) 2.352 * * [simplify]: iters left: 2 (27 enodes) 2.360 * * [simplify]: iters left: 1 (32 enodes) 2.368 * * [simplify]: Extracting #0: cost 1 inf + 0 2.368 * * [simplify]: Extracting #1: cost 8 inf + 0 2.369 * * [simplify]: Extracting #2: cost 7 inf + 45 2.369 * * [simplify]: Extracting #3: cost 0 inf + 421 2.369 * [simplify]: Simplified to (* (* PI 2) n) 2.369 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.369 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 2.370 * [simplify]: Simplifying (* n (* 2 PI)) 2.370 * * [simplify]: iters left: 4 (5 enodes) 2.371 * * [simplify]: iters left: 3 (19 enodes) 2.375 * * [simplify]: iters left: 2 (27 enodes) 2.380 * * [simplify]: iters left: 1 (32 enodes) 2.384 * * [simplify]: Extracting #0: cost 1 inf + 0 2.384 * * [simplify]: Extracting #1: cost 8 inf + 0 2.384 * * [simplify]: Extracting #2: cost 7 inf + 45 2.384 * * [simplify]: Extracting #3: cost 0 inf + 421 2.384 * [simplify]: Simplified to (* (* PI 2) n) 2.384 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.385 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 2.385 * [simplify]: Simplifying (* n (* 2 PI)) 2.385 * * [simplify]: iters left: 4 (5 enodes) 2.386 * * [simplify]: iters left: 3 (19 enodes) 2.389 * * [simplify]: iters left: 2 (27 enodes) 2.393 * * [simplify]: iters left: 1 (32 enodes) 2.397 * * [simplify]: Extracting #0: cost 1 inf + 0 2.397 * * [simplify]: Extracting #1: cost 8 inf + 0 2.397 * * [simplify]: Extracting #2: cost 7 inf + 45 2.397 * * [simplify]: Extracting #3: cost 0 inf + 421 2.397 * [simplify]: Simplified to (* (* PI 2) n) 2.397 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.397 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 2.398 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 2.398 * * [simplify]: iters left: 5 (8 enodes) 2.402 * * [simplify]: iters left: 4 (31 enodes) 2.413 * * [simplify]: iters left: 3 (51 enodes) 2.429 * * [simplify]: iters left: 2 (85 enodes) 2.445 * * [simplify]: iters left: 1 (152 enodes) 2.477 * * [simplify]: Extracting #0: cost 1 inf + 0 2.477 * * [simplify]: Extracting #1: cost 13 inf + 0 2.477 * * [simplify]: Extracting #2: cost 59 inf + 1 2.478 * * [simplify]: Extracting #3: cost 76 inf + 9 2.478 * * [simplify]: Extracting #4: cost 41 inf + 3303 2.480 * * [simplify]: Extracting #5: cost 16 inf + 10676 2.482 * * [simplify]: Extracting #6: cost 0 inf + 21028 2.485 * * [simplify]: Extracting #7: cost 0 inf + 20456 2.488 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.488 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 2.488 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 2.488 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 2.488 * * [simplify]: iters left: 5 (6 enodes) 2.490 * * [simplify]: iters left: 4 (26 enodes) 2.495 * * [simplify]: iters left: 3 (35 enodes) 2.500 * * [simplify]: Extracting #0: cost 1 inf + 0 2.500 * * [simplify]: Extracting #1: cost 3 inf + 0 2.500 * * [simplify]: Extracting #2: cost 8 inf + 0 2.500 * * [simplify]: Extracting #3: cost 11 inf + 2 2.500 * * [simplify]: Extracting #4: cost 8 inf + 87 2.500 * * [simplify]: Extracting #5: cost 2 inf + 500 2.500 * * [simplify]: Extracting #6: cost 0 inf + 746 2.501 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 2.501 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))) 2.501 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 2.501 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 2.501 * * [simplify]: iters left: 5 (6 enodes) 2.503 * * [simplify]: iters left: 4 (26 enodes) 2.508 * * [simplify]: iters left: 3 (35 enodes) 2.519 * * [simplify]: Extracting #0: cost 1 inf + 0 2.519 * * [simplify]: Extracting #1: cost 3 inf + 0 2.519 * * [simplify]: Extracting #2: cost 8 inf + 0 2.519 * * [simplify]: Extracting #3: cost 11 inf + 2 2.519 * * [simplify]: Extracting #4: cost 8 inf + 87 2.519 * * [simplify]: Extracting #5: cost 2 inf + 460 2.519 * * [simplify]: Extracting #6: cost 0 inf + 666 2.520 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.520 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 2.520 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 2.520 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.520 * * [simplify]: iters left: 5 (7 enodes) 2.524 * * [simplify]: iters left: 4 (25 enodes) 2.533 * * [simplify]: iters left: 3 (30 enodes) 2.542 * * [simplify]: Extracting #0: cost 1 inf + 0 2.542 * * [simplify]: Extracting #1: cost 4 inf + 0 2.542 * * [simplify]: Extracting #2: cost 8 inf + 0 2.542 * * [simplify]: Extracting #3: cost 10 inf + 82 2.543 * * [simplify]: Extracting #4: cost 7 inf + 206 2.543 * * [simplify]: Extracting #5: cost 2 inf + 575 2.543 * * [simplify]: Extracting #6: cost 1 inf + 818 2.544 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.544 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.544 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.544 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 2.544 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.544 * * [simplify]: iters left: 5 (7 enodes) 2.547 * * [simplify]: iters left: 4 (25 enodes) 2.552 * * [simplify]: iters left: 3 (30 enodes) 2.557 * * [simplify]: Extracting #0: cost 1 inf + 0 2.557 * * [simplify]: Extracting #1: cost 4 inf + 0 2.557 * * [simplify]: Extracting #2: cost 8 inf + 0 2.557 * * [simplify]: Extracting #3: cost 10 inf + 42 2.557 * * [simplify]: Extracting #4: cost 7 inf + 126 2.557 * * [simplify]: Extracting #5: cost 2 inf + 495 2.557 * * [simplify]: Extracting #6: cost 1 inf + 698 2.557 * * [simplify]: Extracting #7: cost 0 inf + 901 2.557 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.557 * [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))) 2.558 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 2.558 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.558 * * [simplify]: iters left: 5 (6 enodes) 2.560 * * [simplify]: iters left: 4 (22 enodes) 2.563 * * [simplify]: iters left: 3 (27 enodes) 2.569 * * [simplify]: Extracting #0: cost 1 inf + 0 2.569 * * [simplify]: Extracting #1: cost 4 inf + 0 2.569 * * [simplify]: Extracting #2: cost 5 inf + 1 2.569 * * [simplify]: Extracting #3: cost 9 inf + 1 2.569 * * [simplify]: Extracting #4: cost 8 inf + 3 2.569 * * [simplify]: Extracting #5: cost 4 inf + 169 2.569 * * [simplify]: Extracting #6: cost 1 inf + 576 2.569 * * [simplify]: Extracting #7: cost 0 inf + 739 2.569 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.570 * [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))) 2.570 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 2.570 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.570 * * [simplify]: iters left: 5 (7 enodes) 2.572 * * [simplify]: iters left: 4 (25 enodes) 2.579 * * [simplify]: iters left: 3 (30 enodes) 2.588 * * [simplify]: Extracting #0: cost 1 inf + 0 2.588 * * [simplify]: Extracting #1: cost 4 inf + 0 2.588 * * [simplify]: Extracting #2: cost 8 inf + 0 2.588 * * [simplify]: Extracting #3: cost 10 inf + 82 2.588 * * [simplify]: Extracting #4: cost 7 inf + 206 2.588 * * [simplify]: Extracting #5: cost 2 inf + 495 2.589 * * [simplify]: Extracting #6: cost 1 inf + 698 2.589 * * [simplify]: Extracting #7: cost 0 inf + 901 2.589 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.589 * [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))) 2.589 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 2.590 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.590 * * [simplify]: iters left: 5 (7 enodes) 2.594 * * [simplify]: iters left: 4 (25 enodes) 2.603 * * [simplify]: iters left: 3 (30 enodes) 2.609 * * [simplify]: Extracting #0: cost 1 inf + 0 2.609 * * [simplify]: Extracting #1: cost 4 inf + 0 2.609 * * [simplify]: Extracting #2: cost 8 inf + 0 2.609 * * [simplify]: Extracting #3: cost 10 inf + 42 2.609 * * [simplify]: Extracting #4: cost 7 inf + 126 2.609 * * [simplify]: Extracting #5: cost 2 inf + 415 2.609 * * [simplify]: Extracting #6: cost 1 inf + 578 2.609 * * [simplify]: Extracting #7: cost 0 inf + 741 2.610 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.610 * [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))) 2.610 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 2.610 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.610 * * [simplify]: iters left: 5 (6 enodes) 2.612 * * [simplify]: iters left: 4 (22 enodes) 2.615 * * [simplify]: iters left: 3 (27 enodes) 2.619 * * [simplify]: Extracting #0: cost 1 inf + 0 2.620 * * [simplify]: Extracting #1: cost 4 inf + 0 2.620 * * [simplify]: Extracting #2: cost 5 inf + 1 2.620 * * [simplify]: Extracting #3: cost 9 inf + 1 2.620 * * [simplify]: Extracting #4: cost 8 inf + 3 2.620 * * [simplify]: Extracting #5: cost 4 inf + 169 2.620 * * [simplify]: Extracting #6: cost 1 inf + 456 2.620 * * [simplify]: Extracting #7: cost 0 inf + 579 2.620 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.620 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.620 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 2.620 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.620 * * [simplify]: iters left: 4 (6 enodes) 2.623 * * [simplify]: iters left: 3 (25 enodes) 2.627 * * [simplify]: iters left: 2 (36 enodes) 2.632 * * [simplify]: iters left: 1 (40 enodes) 2.638 * * [simplify]: Extracting #0: cost 1 inf + 0 2.638 * * [simplify]: Extracting #1: cost 7 inf + 0 2.638 * * [simplify]: Extracting #2: cost 16 inf + 0 2.638 * * [simplify]: Extracting #3: cost 13 inf + 44 2.638 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.639 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.639 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.639 * [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))) 2.639 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 2.639 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.639 * * [simplify]: iters left: 4 (6 enodes) 2.641 * * [simplify]: iters left: 3 (25 enodes) 2.649 * * [simplify]: iters left: 2 (36 enodes) 2.660 * * [simplify]: iters left: 1 (40 enodes) 2.672 * * [simplify]: Extracting #0: cost 1 inf + 0 2.672 * * [simplify]: Extracting #1: cost 7 inf + 0 2.672 * * [simplify]: Extracting #2: cost 16 inf + 0 2.672 * * [simplify]: Extracting #3: cost 13 inf + 44 2.673 * * [simplify]: Extracting #4: cost 3 inf + 823 2.673 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.674 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.674 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.674 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 2.674 * [simplify]: Simplifying (/ (- 1 k) 2) 2.674 * * [simplify]: iters left: 4 (5 enodes) 2.678 * * [simplify]: iters left: 3 (23 enodes) 2.684 * * [simplify]: iters left: 2 (32 enodes) 2.689 * * [simplify]: Extracting #0: cost 1 inf + 0 2.689 * * [simplify]: Extracting #1: cost 6 inf + 0 2.690 * * [simplify]: Extracting #2: cost 9 inf + 2 2.690 * * [simplify]: Extracting #3: cost 6 inf + 87 2.690 * * [simplify]: Extracting #4: cost 0 inf + 420 2.690 * [simplify]: Simplified to (/ (- 1 k) 2) 2.690 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.690 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 2.690 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.690 * * [simplify]: iters left: 5 (8 enodes) 2.693 * * [simplify]: iters left: 4 (31 enodes) 2.698 * * [simplify]: iters left: 3 (45 enodes) 2.706 * * [simplify]: iters left: 2 (51 enodes) 2.713 * * [simplify]: iters left: 1 (52 enodes) 2.721 * * [simplify]: Extracting #0: cost 1 inf + 0 2.721 * * [simplify]: Extracting #1: cost 8 inf + 0 2.721 * * [simplify]: Extracting #2: cost 18 inf + 0 2.721 * * [simplify]: Extracting #3: cost 19 inf + 2 2.721 * * [simplify]: Extracting #4: cost 9 inf + 977 2.722 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.723 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.723 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.724 * [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))) 2.724 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 2.724 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.724 * * [simplify]: iters left: 5 (8 enodes) 2.729 * * [simplify]: iters left: 4 (31 enodes) 2.740 * * [simplify]: iters left: 3 (45 enodes) 2.747 * * [simplify]: iters left: 2 (51 enodes) 2.754 * * [simplify]: iters left: 1 (52 enodes) 2.761 * * [simplify]: Extracting #0: cost 1 inf + 0 2.761 * * [simplify]: Extracting #1: cost 8 inf + 0 2.761 * * [simplify]: Extracting #2: cost 18 inf + 0 2.761 * * [simplify]: Extracting #3: cost 19 inf + 2 2.761 * * [simplify]: Extracting #4: cost 9 inf + 697 2.761 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.762 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.762 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.762 * [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))) 2.762 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 2.762 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.762 * * [simplify]: iters left: 5 (7 enodes) 2.765 * * [simplify]: iters left: 4 (29 enodes) 2.770 * * [simplify]: iters left: 3 (43 enodes) 2.778 * * [simplify]: iters left: 2 (47 enodes) 2.790 * * [simplify]: Extracting #0: cost 1 inf + 0 2.790 * * [simplify]: Extracting #1: cost 7 inf + 0 2.790 * * [simplify]: Extracting #2: cost 11 inf + 2 2.790 * * [simplify]: Extracting #3: cost 13 inf + 3 2.790 * * [simplify]: Extracting #4: cost 11 inf + 45 2.791 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.791 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.791 * [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))) 2.791 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 2.792 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.792 * * [simplify]: iters left: 5 (7 enodes) 2.796 * * [simplify]: iters left: 4 (28 enodes) 2.804 * * [simplify]: iters left: 3 (39 enodes) 2.810 * * [simplify]: iters left: 2 (43 enodes) 2.816 * * [simplify]: Extracting #0: cost 1 inf + 0 2.816 * * [simplify]: Extracting #1: cost 7 inf + 0 2.816 * * [simplify]: Extracting #2: cost 16 inf + 0 2.816 * * [simplify]: Extracting #3: cost 15 inf + 164 2.816 * * [simplify]: Extracting #4: cost 13 inf + 287 2.816 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.817 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.817 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.817 * [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))) 2.817 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 2.817 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.817 * * [simplify]: iters left: 5 (7 enodes) 2.820 * * [simplify]: iters left: 4 (28 enodes) 2.825 * * [simplify]: iters left: 3 (39 enodes) 2.831 * * [simplify]: iters left: 2 (43 enodes) 2.843 * * [simplify]: Extracting #0: cost 1 inf + 0 2.843 * * [simplify]: Extracting #1: cost 7 inf + 0 2.843 * * [simplify]: Extracting #2: cost 16 inf + 0 2.844 * * [simplify]: Extracting #3: cost 15 inf + 84 2.844 * * [simplify]: Extracting #4: cost 13 inf + 167 2.844 * * [simplify]: Extracting #5: cost 5 inf + 900 2.845 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.845 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.845 * [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))) 2.845 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 2.846 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.846 * * [simplify]: iters left: 5 (6 enodes) 2.850 * * [simplify]: iters left: 4 (26 enodes) 2.858 * * [simplify]: iters left: 3 (35 enodes) 2.868 * * [simplify]: Extracting #0: cost 1 inf + 0 2.868 * * [simplify]: Extracting #1: cost 6 inf + 0 2.868 * * [simplify]: Extracting #2: cost 9 inf + 2 2.869 * * [simplify]: Extracting #3: cost 11 inf + 3 2.869 * * [simplify]: Extracting #4: cost 10 inf + 4 2.869 * * [simplify]: Extracting #5: cost 3 inf + 535 2.869 * * [simplify]: Extracting #6: cost 0 inf + 822 2.870 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.870 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.870 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 2.870 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.870 * * [simplify]: iters left: 4 (6 enodes) 2.874 * * [simplify]: iters left: 3 (25 enodes) 2.883 * * [simplify]: iters left: 2 (36 enodes) 2.894 * * [simplify]: iters left: 1 (40 enodes) 2.908 * * [simplify]: Extracting #0: cost 1 inf + 0 2.908 * * [simplify]: Extracting #1: cost 7 inf + 0 2.908 * * [simplify]: Extracting #2: cost 16 inf + 0 2.908 * * [simplify]: Extracting #3: cost 13 inf + 44 2.908 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.909 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.909 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.909 * [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))) 2.910 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 2.910 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.910 * * [simplify]: iters left: 4 (6 enodes) 2.914 * * [simplify]: iters left: 3 (25 enodes) 2.918 * * [simplify]: iters left: 2 (36 enodes) 2.923 * * [simplify]: iters left: 1 (40 enodes) 2.929 * * [simplify]: Extracting #0: cost 1 inf + 0 2.929 * * [simplify]: Extracting #1: cost 7 inf + 0 2.929 * * [simplify]: Extracting #2: cost 16 inf + 0 2.929 * * [simplify]: Extracting #3: cost 13 inf + 44 2.929 * * [simplify]: Extracting #4: cost 3 inf + 823 2.930 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.930 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.930 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.930 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 2.930 * [simplify]: Simplifying (/ (- 1 k) 2) 2.930 * * [simplify]: iters left: 4 (5 enodes) 2.932 * * [simplify]: iters left: 3 (23 enodes) 2.936 * * [simplify]: iters left: 2 (32 enodes) 2.941 * * [simplify]: Extracting #0: cost 1 inf + 0 2.941 * * [simplify]: Extracting #1: cost 6 inf + 0 2.941 * * [simplify]: Extracting #2: cost 9 inf + 2 2.941 * * [simplify]: Extracting #3: cost 6 inf + 87 2.941 * * [simplify]: Extracting #4: cost 0 inf + 420 2.941 * [simplify]: Simplified to (/ (- 1 k) 2) 2.941 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.941 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 2.942 * [simplify]: Simplifying (/ (- 1 k) 2) 2.942 * * [simplify]: iters left: 4 (5 enodes) 2.944 * * [simplify]: iters left: 3 (23 enodes) 2.949 * * [simplify]: iters left: 2 (32 enodes) 2.958 * * [simplify]: Extracting #0: cost 1 inf + 0 2.958 * * [simplify]: Extracting #1: cost 6 inf + 0 2.958 * * [simplify]: Extracting #2: cost 9 inf + 2 2.958 * * [simplify]: Extracting #3: cost 6 inf + 87 2.959 * * [simplify]: Extracting #4: cost 0 inf + 420 2.959 * [simplify]: Simplified to (/ (- 1 k) 2) 2.959 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 2.959 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 2.959 * [simplify]: Simplifying (/ 1 2) 2.959 * * [simplify]: iters left: 2 (3 enodes) 2.962 * * [simplify]: iters left: 1 (12 enodes) 2.967 * * [simplify]: Extracting #0: cost 1 inf + 0 2.967 * * [simplify]: Extracting #1: cost 0 inf + 1 2.967 * [simplify]: Simplified to 1/2 2.967 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 2.967 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 2.967 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 2.967 * * [simplify]: iters left: 5 (7 enodes) 2.972 * * [simplify]: iters left: 4 (32 enodes) 2.981 * * [simplify]: iters left: 3 (57 enodes) 2.990 * * [simplify]: iters left: 2 (88 enodes) 3.008 * * [simplify]: iters left: 1 (156 enodes) 3.042 * * [simplify]: Extracting #0: cost 1 inf + 0 3.042 * * [simplify]: Extracting #1: cost 13 inf + 0 3.042 * * [simplify]: Extracting #2: cost 49 inf + 2 3.042 * * [simplify]: Extracting #3: cost 80 inf + 6 3.043 * * [simplify]: Extracting #4: cost 58 inf + 1840 3.044 * * [simplify]: Extracting #5: cost 22 inf + 9206 3.047 * * [simplify]: Extracting #6: cost 1 inf + 20886 3.051 * * [simplify]: Extracting #7: cost 0 inf + 21301 3.055 * * [simplify]: Extracting #8: cost 0 inf + 21130 3.058 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 3.058 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 3.058 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 3.058 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 3.058 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 3.058 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 3.058 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 3.058 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 3.058 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 3.058 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 3.058 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 3.058 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 3.058 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 3.058 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.059 * * [simplify]: iters left: 6 (16 enodes) 3.063 * * [simplify]: iters left: 5 (65 enodes) 3.073 * * [simplify]: iters left: 4 (111 enodes) 3.112 * * [simplify]: iters left: 3 (294 enodes) 3.197 * * [simplify]: Extracting #0: cost 1 inf + 0 3.197 * * [simplify]: Extracting #1: cost 32 inf + 0 3.198 * * [simplify]: Extracting #2: cost 82 inf + 0 3.198 * * [simplify]: Extracting #3: cost 145 inf + 73 3.199 * * [simplify]: Extracting #4: cost 158 inf + 1797 3.203 * * [simplify]: Extracting #5: cost 56 inf + 27690 3.211 * * [simplify]: Extracting #6: cost 4 inf + 45043 3.219 * * [simplify]: Extracting #7: cost 0 inf + 46559 3.230 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 3.230 * [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))))) 3.230 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 3.231 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.231 * * [simplify]: iters left: 6 (15 enodes) 3.239 * * [simplify]: iters left: 5 (63 enodes) 3.263 * * [simplify]: iters left: 4 (104 enodes) 3.286 * * [simplify]: iters left: 3 (238 enodes) 3.346 * * [simplify]: Extracting #0: cost 1 inf + 0 3.346 * * [simplify]: Extracting #1: cost 30 inf + 0 3.346 * * [simplify]: Extracting #2: cost 78 inf + 0 3.347 * * [simplify]: Extracting #3: cost 131 inf + 73 3.347 * * [simplify]: Extracting #4: cost 147 inf + 821 3.349 * * [simplify]: Extracting #5: cost 71 inf + 15644 3.356 * * [simplify]: Extracting #6: cost 4 inf + 36895 3.363 * * [simplify]: Extracting #7: cost 0 inf + 38761 3.371 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 3.371 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 3.371 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 3.371 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.371 * * [simplify]: iters left: 6 (14 enodes) 3.375 * * [simplify]: iters left: 5 (62 enodes) 3.387 * * [simplify]: iters left: 4 (111 enodes) 3.421 * * [simplify]: iters left: 3 (223 enodes) 3.470 * * [simplify]: Extracting #0: cost 1 inf + 0 3.470 * * [simplify]: Extracting #1: cost 19 inf + 0 3.470 * * [simplify]: Extracting #2: cost 67 inf + 0 3.470 * * [simplify]: Extracting #3: cost 123 inf + 2 3.471 * * [simplify]: Extracting #4: cost 139 inf + 1713 3.475 * * [simplify]: Extracting #5: cost 32 inf + 23885 3.484 * * [simplify]: Extracting #6: cost 0 inf + 31232 3.500 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 3.500 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 3.500 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 3.500 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.500 * * [simplify]: iters left: 6 (14 enodes) 3.508 * * [simplify]: iters left: 5 (62 enodes) 3.528 * * [simplify]: iters left: 4 (111 enodes) 3.550 * * [simplify]: iters left: 3 (223 enodes) 3.614 * * [simplify]: Extracting #0: cost 1 inf + 0 3.614 * * [simplify]: Extracting #1: cost 19 inf + 0 3.615 * * [simplify]: Extracting #2: cost 67 inf + 0 3.615 * * [simplify]: Extracting #3: cost 123 inf + 2 3.617 * * [simplify]: Extracting #4: cost 139 inf + 1713 3.624 * * [simplify]: Extracting #5: cost 32 inf + 23885 3.635 * * [simplify]: Extracting #6: cost 0 inf + 31232 3.641 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 3.641 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 3.641 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 3.642 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 3.642 * * [simplify]: iters left: 6 (14 enodes) 3.646 * * [simplify]: iters left: 5 (61 enodes) 3.656 * * [simplify]: iters left: 4 (111 enodes) 3.681 * * [simplify]: iters left: 3 (218 enodes) 3.770 * * [simplify]: Extracting #0: cost 1 inf + 0 3.770 * * [simplify]: Extracting #1: cost 20 inf + 0 3.771 * * [simplify]: Extracting #2: cost 94 inf + 0 3.771 * * [simplify]: Extracting #3: cost 167 inf + 2 3.773 * * [simplify]: Extracting #4: cost 164 inf + 1228 3.778 * * [simplify]: Extracting #5: cost 76 inf + 17725 3.790 * * [simplify]: Extracting #6: cost 9 inf + 35809 3.804 * * [simplify]: Extracting #7: cost 0 inf + 40227 3.817 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))) 3.817 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))))) 3.818 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 3.818 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 3.818 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 3.818 * [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))) 3.818 * * [simplify]: iters left: 6 (16 enodes) 3.830 * * [simplify]: iters left: 5 (72 enodes) 3.845 * * [simplify]: iters left: 4 (165 enodes) 3.891 * * [simplify]: iters left: 3 (474 enodes) 4.093 * * [simplify]: Extracting #0: cost 1 inf + 0 4.093 * * [simplify]: Extracting #1: cost 172 inf + 0 4.094 * * [simplify]: Extracting #2: cost 449 inf + 1 4.096 * * [simplify]: Extracting #3: cost 500 inf + 248 4.099 * * [simplify]: Extracting #4: cost 476 inf + 4785 4.112 * * [simplify]: Extracting #5: cost 302 inf + 101232 4.161 * * [simplify]: Extracting #6: cost 26 inf + 307299 4.243 * * [simplify]: Extracting #7: cost 0 inf + 323493 4.310 * * [simplify]: Extracting #8: cost 0 inf + 323103 4.376 * [simplify]: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 4.376 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 4.376 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 4.376 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 4.376 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 4.376 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 4.376 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 4.376 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 4.377 * * [simplify]: iters left: 6 (11 enodes) 4.383 * * [simplify]: iters left: 5 (46 enodes) 4.394 * * [simplify]: iters left: 4 (79 enodes) 4.408 * * [simplify]: iters left: 3 (135 enodes) 4.433 * * [simplify]: iters left: 2 (270 enodes) 4.545 * * [simplify]: Extracting #0: cost 1 inf + 0 4.545 * * [simplify]: Extracting #1: cost 56 inf + 0 4.546 * * [simplify]: Extracting #2: cost 151 inf + 0 4.547 * * [simplify]: Extracting #3: cost 211 inf + 3 4.550 * * [simplify]: Extracting #4: cost 182 inf + 8248 4.560 * * [simplify]: Extracting #5: cost 108 inf + 32321 4.577 * * [simplify]: Extracting #6: cost 40 inf + 73343 4.603 * * [simplify]: Extracting #7: cost 0 inf + 103841 4.624 * * [simplify]: Extracting #8: cost 0 inf + 103639 4.637 * * [simplify]: Extracting #9: cost 0 inf + 103517 4.659 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 4.659 * [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))))) 4.659 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 4.659 * * [simplify]: iters left: 6 (11 enodes) 4.666 * * [simplify]: iters left: 5 (45 enodes) 4.681 * * [simplify]: iters left: 4 (68 enodes) 4.702 * * [simplify]: iters left: 3 (110 enodes) 4.723 * * [simplify]: iters left: 2 (217 enodes) 4.802 * * [simplify]: iters left: 1 (456 enodes) 4.979 * * [simplify]: Extracting #0: cost 1 inf + 0 4.979 * * [simplify]: Extracting #1: cost 44 inf + 0 4.980 * * [simplify]: Extracting #2: cost 133 inf + 0 4.981 * * [simplify]: Extracting #3: cost 211 inf + 3 4.982 * * [simplify]: Extracting #4: cost 209 inf + 1047 4.984 * * [simplify]: Extracting #5: cost 156 inf + 8593 4.991 * * [simplify]: Extracting #6: cost 83 inf + 43654 5.020 * * [simplify]: Extracting #7: cost 10 inf + 107740 5.052 * * [simplify]: Extracting #8: cost 0 inf + 116394 5.080 * * [simplify]: Extracting #9: cost 0 inf + 115425 5.097 * * [simplify]: Extracting #10: cost 0 inf + 114468 5.124 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 5.124 * [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))))) 5.124 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 5.124 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 5.124 * * [simplify]: iters left: 6 (11 enodes) 5.130 * * [simplify]: iters left: 5 (45 enodes) 5.138 * * [simplify]: iters left: 4 (72 enodes) 5.150 * * [simplify]: iters left: 3 (113 enodes) 5.182 * * [simplify]: iters left: 2 (202 enodes) 5.232 * * [simplify]: iters left: 1 (423 enodes) 5.420 * * [simplify]: Extracting #0: cost 1 inf + 0 5.420 * * [simplify]: Extracting #1: cost 45 inf + 0 5.420 * * [simplify]: Extracting #2: cost 135 inf + 0 5.421 * * [simplify]: Extracting #3: cost 200 inf + 4 5.422 * * [simplify]: Extracting #4: cost 178 inf + 4405 5.427 * * [simplify]: Extracting #5: cost 89 inf + 41805 5.442 * * [simplify]: Extracting #6: cost 6 inf + 96015 5.478 * * [simplify]: Extracting #7: cost 0 inf + 93673 5.509 * * [simplify]: Extracting #8: cost 0 inf + 88687 5.529 * * [simplify]: Extracting #9: cost 0 inf + 87603 5.551 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 5.551 * [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))))) 5.551 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 5.551 * * [simplify]: iters left: 6 (11 enodes) 5.557 * * [simplify]: iters left: 5 (45 enodes) 5.571 * * [simplify]: iters left: 4 (68 enodes) 5.592 * * [simplify]: iters left: 3 (110 enodes) 5.625 * * [simplify]: iters left: 2 (217 enodes) 5.690 * * [simplify]: iters left: 1 (456 enodes) 5.879 * * [simplify]: Extracting #0: cost 1 inf + 0 5.879 * * [simplify]: Extracting #1: cost 44 inf + 0 5.880 * * [simplify]: Extracting #2: cost 133 inf + 0 5.881 * * [simplify]: Extracting #3: cost 211 inf + 3 5.883 * * [simplify]: Extracting #4: cost 209 inf + 1127 5.892 * * [simplify]: Extracting #5: cost 156 inf + 8673 5.903 * * [simplify]: Extracting #6: cost 83 inf + 43734 5.917 * * [simplify]: Extracting #7: cost 10 inf + 107820 5.937 * * [simplify]: Extracting #8: cost 0 inf + 116474 5.970 * * [simplify]: Extracting #9: cost 0 inf + 115505 5.997 * * [simplify]: Extracting #10: cost 0 inf + 114548 6.016 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 6.016 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 6.016 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 6.016 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 6.016 * * [simplify]: iters left: 6 (10 enodes) 6.019 * * [simplify]: iters left: 5 (41 enodes) 6.030 * * [simplify]: iters left: 4 (68 enodes) 6.052 * * [simplify]: iters left: 3 (109 enodes) 6.088 * * [simplify]: iters left: 2 (194 enodes) 6.142 * * [simplify]: iters left: 1 (414 enodes) 6.335 * * [simplify]: Extracting #0: cost 1 inf + 0 6.335 * * [simplify]: Extracting #1: cost 45 inf + 0 6.335 * * [simplify]: Extracting #2: cost 141 inf + 0 6.336 * * [simplify]: Extracting #3: cost 206 inf + 4 6.338 * * [simplify]: Extracting #4: cost 178 inf + 9345 6.345 * * [simplify]: Extracting #5: cost 101 inf + 32669 6.361 * * [simplify]: Extracting #6: cost 15 inf + 90305 6.393 * * [simplify]: Extracting #7: cost 0 inf + 100314 6.424 * * [simplify]: Extracting #8: cost 0 inf + 100143 6.459 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 6.459 * [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))))) 6.460 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 6.460 * * [simplify]: iters left: 6 (11 enodes) 6.466 * * [simplify]: iters left: 5 (45 enodes) 6.478 * * [simplify]: iters left: 4 (68 enodes) 6.489 * * [simplify]: iters left: 3 (110 enodes) 6.517 * * [simplify]: iters left: 2 (217 enodes) 6.600 * * [simplify]: iters left: 1 (456 enodes) 6.806 * * [simplify]: Extracting #0: cost 1 inf + 0 6.806 * * [simplify]: Extracting #1: cost 44 inf + 0 6.807 * * [simplify]: Extracting #2: cost 133 inf + 0 6.808 * * [simplify]: Extracting #3: cost 211 inf + 3 6.810 * * [simplify]: Extracting #4: cost 209 inf + 967 6.815 * * [simplify]: Extracting #5: cost 156 inf + 8433 6.828 * * [simplify]: Extracting #6: cost 83 inf + 42774 6.845 * * [simplify]: Extracting #7: cost 10 inf + 105380 6.861 * * [simplify]: Extracting #8: cost 0 inf + 113674 6.881 * * [simplify]: Extracting #9: cost 0 inf + 112705 6.905 * * [simplify]: Extracting #10: cost 0 inf + 111748 6.939 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 6.939 * [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))))) 6.939 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 6.939 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 6.939 * * [simplify]: iters left: 6 (9 enodes) 6.945 * * [simplify]: iters left: 5 (38 enodes) 6.952 * * [simplify]: iters left: 4 (63 enodes) 6.962 * * [simplify]: iters left: 3 (100 enodes) 6.979 * * [simplify]: iters left: 2 (175 enodes) 7.048 * * [simplify]: iters left: 1 (360 enodes) 7.220 * * [simplify]: Extracting #0: cost 1 inf + 0 7.220 * * [simplify]: Extracting #1: cost 52 inf + 0 7.221 * * [simplify]: Extracting #2: cost 150 inf + 3 7.223 * * [simplify]: Extracting #3: cost 190 inf + 8 7.225 * * [simplify]: Extracting #4: cost 167 inf + 1999 7.231 * * [simplify]: Extracting #5: cost 109 inf + 14534 7.251 * * [simplify]: Extracting #6: cost 11 inf + 80954 7.277 * * [simplify]: Extracting #7: cost 0 inf + 87093 7.303 * * [simplify]: Extracting #8: cost 0 inf + 85003 7.326 * * [simplify]: Extracting #9: cost 0 inf + 84872 7.339 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 7.339 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 7.340 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 7.340 * * [simplify]: iters left: 6 (10 enodes) 7.343 * * [simplify]: iters left: 5 (42 enodes) 7.355 * * [simplify]: iters left: 4 (65 enodes) 7.375 * * [simplify]: iters left: 3 (104 enodes) 7.395 * * [simplify]: iters left: 2 (206 enodes) 7.455 * * [simplify]: iters left: 1 (433 enodes) 7.650 * * [simplify]: Extracting #0: cost 1 inf + 0 7.650 * * [simplify]: Extracting #1: cost 45 inf + 0 7.651 * * [simplify]: Extracting #2: cost 143 inf + 0 7.652 * * [simplify]: Extracting #3: cost 213 inf + 45 7.654 * * [simplify]: Extracting #4: cost 203 inf + 1718 7.657 * * [simplify]: Extracting #5: cost 130 inf + 20716 7.671 * * [simplify]: Extracting #6: cost 18 inf + 99664 7.702 * * [simplify]: Extracting #7: cost 0 inf + 106929 7.738 * * [simplify]: Extracting #8: cost 0 inf + 106247 7.764 * * [simplify]: Extracting #9: cost 0 inf + 105867 7.815 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 7.815 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 7.816 * * * * [progress]: [ 58 / 127 ] simplifiying candidate # 7.816 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.816 * * [simplify]: iters left: 6 (10 enodes) 7.822 * * [simplify]: iters left: 5 (41 enodes) 7.835 * * [simplify]: iters left: 4 (68 enodes) 7.846 * * [simplify]: iters left: 3 (109 enodes) 7.870 * * [simplify]: iters left: 2 (194 enodes) 7.948 * * [simplify]: iters left: 1 (414 enodes) 8.136 * * [simplify]: Extracting #0: cost 1 inf + 0 8.136 * * [simplify]: Extracting #1: cost 45 inf + 0 8.137 * * [simplify]: Extracting #2: cost 141 inf + 0 8.137 * * [simplify]: Extracting #3: cost 206 inf + 4 8.139 * * [simplify]: Extracting #4: cost 178 inf + 9345 8.145 * * [simplify]: Extracting #5: cost 101 inf + 32669 8.158 * * [simplify]: Extracting #6: cost 15 inf + 90305 8.185 * * [simplify]: Extracting #7: cost 0 inf + 100314 8.215 * * [simplify]: Extracting #8: cost 0 inf + 100143 8.245 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.245 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 8.246 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.246 * * [simplify]: iters left: 6 (11 enodes) 8.252 * * [simplify]: iters left: 5 (45 enodes) 8.266 * * [simplify]: iters left: 4 (68 enodes) 8.287 * * [simplify]: iters left: 3 (110 enodes) 8.331 * * [simplify]: iters left: 2 (217 enodes) 8.415 * * [simplify]: iters left: 1 (456 enodes) 8.629 * * [simplify]: Extracting #0: cost 1 inf + 0 8.629 * * [simplify]: Extracting #1: cost 44 inf + 0 8.630 * * [simplify]: Extracting #2: cost 133 inf + 0 8.631 * * [simplify]: Extracting #3: cost 211 inf + 3 8.633 * * [simplify]: Extracting #4: cost 209 inf + 967 8.638 * * [simplify]: Extracting #5: cost 156 inf + 8433 8.646 * * [simplify]: Extracting #6: cost 83 inf + 42774 8.671 * * [simplify]: Extracting #7: cost 10 inf + 105380 8.692 * * [simplify]: Extracting #8: cost 0 inf + 113674 8.709 * * [simplify]: Extracting #9: cost 0 inf + 112705 8.742 * * [simplify]: Extracting #10: cost 0 inf + 111748 8.776 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 8.776 * [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))))) 8.776 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 8.776 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 8.776 * * [simplify]: iters left: 6 (8 enodes) 8.781 * * [simplify]: iters left: 5 (33 enodes) 8.792 * * [simplify]: iters left: 4 (56 enodes) 8.813 * * [simplify]: iters left: 3 (98 enodes) 8.851 * * [simplify]: iters left: 2 (203 enodes) 8.898 * * [simplify]: iters left: 1 (441 enodes) 9.127 * * [simplify]: Extracting #0: cost 1 inf + 0 9.127 * * [simplify]: Extracting #1: cost 49 inf + 0 9.128 * * [simplify]: Extracting #2: cost 157 inf + 3 9.130 * * [simplify]: Extracting #3: cost 212 inf + 8 9.132 * * [simplify]: Extracting #4: cost 198 inf + 1133 9.137 * * [simplify]: Extracting #5: cost 127 inf + 13703 9.148 * * [simplify]: Extracting #6: cost 35 inf + 74586 9.172 * * [simplify]: Extracting #7: cost 0 inf + 99668 9.202 * * [simplify]: Extracting #8: cost 0 inf + 99308 9.220 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 9.220 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 9.220 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 9.220 * * [simplify]: iters left: 6 (10 enodes) 9.223 * * [simplify]: iters left: 5 (42 enodes) 9.230 * * [simplify]: iters left: 4 (65 enodes) 9.247 * * [simplify]: iters left: 3 (104 enodes) 9.276 * * [simplify]: iters left: 2 (206 enodes) 9.316 * * [simplify]: iters left: 1 (433 enodes) 9.506 * * [simplify]: Extracting #0: cost 1 inf + 0 9.506 * * [simplify]: Extracting #1: cost 45 inf + 0 9.507 * * [simplify]: Extracting #2: cost 143 inf + 0 9.509 * * [simplify]: Extracting #3: cost 213 inf + 45 9.511 * * [simplify]: Extracting #4: cost 203 inf + 1718 9.518 * * [simplify]: Extracting #5: cost 130 inf + 20716 9.532 * * [simplify]: Extracting #6: cost 18 inf + 99664 9.563 * * [simplify]: Extracting #7: cost 0 inf + 106929 9.594 * * [simplify]: Extracting #8: cost 0 inf + 106247 9.630 * * [simplify]: Extracting #9: cost 0 inf + 105867 9.659 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 9.659 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 9.659 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 9.659 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 9.659 * * [simplify]: iters left: 6 (16 enodes) 9.665 * * [simplify]: iters left: 5 (69 enodes) 9.688 * * [simplify]: iters left: 4 (117 enodes) 9.727 * * [simplify]: iters left: 3 (164 enodes) 9.776 * * [simplify]: iters left: 2 (236 enodes) 9.826 * * [simplify]: iters left: 1 (387 enodes) 9.951 * * [simplify]: Extracting #0: cost 1 inf + 0 9.951 * * [simplify]: Extracting #1: cost 11 inf + 0 9.951 * * [simplify]: Extracting #2: cost 22 inf + 0 9.952 * * [simplify]: Extracting #3: cost 48 inf + 0 9.952 * * [simplify]: Extracting #4: cost 120 inf + 2 9.953 * * [simplify]: Extracting #5: cost 145 inf + 1787 9.957 * * [simplify]: Extracting #6: cost 89 inf + 14823 9.969 * * [simplify]: Extracting #7: cost 35 inf + 37040 9.982 * * [simplify]: Extracting #8: cost 4 inf + 64421 9.994 * * [simplify]: Extracting #9: cost 0 inf + 66215 10.009 * * [simplify]: Extracting #10: cost 0 inf + 65834 10.022 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 10.022 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 10.022 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 10.023 * * [simplify]: iters left: 6 (14 enodes) 10.026 * * [simplify]: iters left: 5 (57 enodes) 10.036 * * [simplify]: iters left: 4 (90 enodes) 10.052 * * [simplify]: iters left: 3 (127 enodes) 10.084 * * [simplify]: iters left: 2 (195 enodes) 10.122 * * [simplify]: iters left: 1 (356 enodes) 10.272 * * [simplify]: Extracting #0: cost 1 inf + 0 10.272 * * [simplify]: Extracting #1: cost 4 inf + 0 10.272 * * [simplify]: Extracting #2: cost 8 inf + 0 10.272 * * [simplify]: Extracting #3: cost 34 inf + 0 10.273 * * [simplify]: Extracting #4: cost 107 inf + 164 10.274 * * [simplify]: Extracting #5: cost 148 inf + 585 10.277 * * [simplify]: Extracting #6: cost 104 inf + 6057 10.282 * * [simplify]: Extracting #7: cost 40 inf + 28932 10.295 * * [simplify]: Extracting #8: cost 3 inf + 60785 10.305 * * [simplify]: Extracting #9: cost 0 inf + 62323 10.320 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 10.320 * [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))))) 10.321 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 10.321 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 10.321 * * [simplify]: iters left: 6 (16 enodes) 10.330 * * [simplify]: iters left: 5 (66 enodes) 10.351 * * [simplify]: iters left: 4 (103 enodes) 10.381 * * [simplify]: iters left: 3 (142 enodes) 10.406 * * [simplify]: iters left: 2 (210 enodes) 10.449 * * [simplify]: iters left: 1 (370 enodes) 10.557 * * [simplify]: Extracting #0: cost 1 inf + 0 10.557 * * [simplify]: Extracting #1: cost 7 inf + 0 10.557 * * [simplify]: Extracting #2: cost 15 inf + 0 10.557 * * [simplify]: Extracting #3: cost 43 inf + 0 10.561 * * [simplify]: Extracting #4: cost 113 inf + 204 10.562 * * [simplify]: Extracting #5: cost 144 inf + 990 10.565 * * [simplify]: Extracting #6: cost 110 inf + 4920 10.572 * * [simplify]: Extracting #7: cost 55 inf + 21303 10.586 * * [simplify]: Extracting #8: cost 13 inf + 52139 10.606 * * [simplify]: Extracting #9: cost 0 inf + 63233 10.625 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 10.625 * [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))))) 10.626 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 10.626 * * [simplify]: iters left: 6 (14 enodes) 10.630 * * [simplify]: iters left: 5 (57 enodes) 10.639 * * [simplify]: iters left: 4 (90 enodes) 10.653 * * [simplify]: iters left: 3 (127 enodes) 10.692 * * [simplify]: iters left: 2 (195 enodes) 10.735 * * [simplify]: iters left: 1 (356 enodes) 10.851 * * [simplify]: Extracting #0: cost 1 inf + 0 10.851 * * [simplify]: Extracting #1: cost 4 inf + 0 10.851 * * [simplify]: Extracting #2: cost 8 inf + 0 10.852 * * [simplify]: Extracting #3: cost 34 inf + 0 10.852 * * [simplify]: Extracting #4: cost 107 inf + 204 10.854 * * [simplify]: Extracting #5: cost 148 inf + 665 10.857 * * [simplify]: Extracting #6: cost 104 inf + 6137 10.866 * * [simplify]: Extracting #7: cost 40 inf + 29012 10.883 * * [simplify]: Extracting #8: cost 3 inf + 60865 10.899 * * [simplify]: Extracting #9: cost 0 inf + 62403 10.909 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 10.909 * [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))))) 10.909 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 10.909 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 10.910 * * [simplify]: iters left: 6 (15 enodes) 10.914 * * [simplify]: iters left: 5 (62 enodes) 10.925 * * [simplify]: iters left: 4 (99 enodes) 10.955 * * [simplify]: iters left: 3 (142 enodes) 11.003 * * [simplify]: iters left: 2 (215 enodes) 11.046 * * [simplify]: iters left: 1 (364 enodes) 11.172 * * [simplify]: Extracting #0: cost 1 inf + 0 11.172 * * [simplify]: Extracting #1: cost 7 inf + 0 11.172 * * [simplify]: Extracting #2: cost 14 inf + 0 11.172 * * [simplify]: Extracting #3: cost 41 inf + 0 11.173 * * [simplify]: Extracting #4: cost 108 inf + 124 11.174 * * [simplify]: Extracting #5: cost 134 inf + 713 11.177 * * [simplify]: Extracting #6: cost 89 inf + 7865 11.183 * * [simplify]: Extracting #7: cost 23 inf + 42624 11.193 * * [simplify]: Extracting #8: cost 0 inf + 60960 11.202 * * [simplify]: Extracting #9: cost 0 inf + 60349 11.216 * * [simplify]: Extracting #10: cost 0 inf + 60309 11.234 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 11.234 * [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))))) 11.234 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 11.235 * * [simplify]: iters left: 6 (14 enodes) 11.242 * * [simplify]: iters left: 5 (57 enodes) 11.254 * * [simplify]: iters left: 4 (90 enodes) 11.267 * * [simplify]: iters left: 3 (127 enodes) 11.287 * * [simplify]: iters left: 2 (195 enodes) 11.337 * * [simplify]: iters left: 1 (356 enodes) 11.463 * * [simplify]: Extracting #0: cost 1 inf + 0 11.463 * * [simplify]: Extracting #1: cost 4 inf + 0 11.463 * * [simplify]: Extracting #2: cost 8 inf + 0 11.463 * * [simplify]: Extracting #3: cost 34 inf + 0 11.464 * * [simplify]: Extracting #4: cost 107 inf + 124 11.465 * * [simplify]: Extracting #5: cost 148 inf + 505 11.468 * * [simplify]: Extracting #6: cost 104 inf + 5977 11.477 * * [simplify]: Extracting #7: cost 40 inf + 28772 11.494 * * [simplify]: Extracting #8: cost 3 inf + 60625 11.514 * * [simplify]: Extracting #9: cost 0 inf + 62163 11.535 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 11.535 * [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))))) 11.535 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 11.535 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 11.535 * * [simplify]: iters left: 6 (14 enodes) 11.548 * * [simplify]: iters left: 5 (59 enodes) 11.561 * * [simplify]: iters left: 4 (96 enodes) 11.575 * * [simplify]: iters left: 3 (136 enodes) 11.596 * * [simplify]: iters left: 2 (205 enodes) 11.669 * * [simplify]: iters left: 1 (370 enodes) 11.804 * * [simplify]: Extracting #0: cost 1 inf + 0 11.805 * * [simplify]: Extracting #1: cost 5 inf + 0 11.805 * * [simplify]: Extracting #2: cost 7 inf + 1 11.805 * * [simplify]: Extracting #3: cost 31 inf + 1 11.805 * * [simplify]: Extracting #4: cost 103 inf + 2 11.806 * * [simplify]: Extracting #5: cost 150 inf + 218 11.806 * * [simplify]: Extracting #6: cost 145 inf + 809 11.808 * * [simplify]: Extracting #7: cost 87 inf + 10304 11.816 * * [simplify]: Extracting #8: cost 25 inf + 34558 11.840 * * [simplify]: Extracting #9: cost 0 inf + 51677 11.856 * * [simplify]: Extracting #10: cost 0 inf + 51597 11.871 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 11.871 * [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)))) 11.872 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 11.872 * * [simplify]: iters left: 6 (13 enodes) 11.875 * * [simplify]: iters left: 5 (54 enodes) 11.885 * * [simplify]: iters left: 4 (87 enodes) 11.899 * * [simplify]: iters left: 3 (128 enodes) 11.919 * * [simplify]: iters left: 2 (197 enodes) 11.991 * * [simplify]: iters left: 1 (354 enodes) 12.133 * * [simplify]: Extracting #0: cost 1 inf + 0 12.133 * * [simplify]: Extracting #1: cost 4 inf + 0 12.133 * * [simplify]: Extracting #2: cost 8 inf + 0 12.134 * * [simplify]: Extracting #3: cost 28 inf + 83 12.134 * * [simplify]: Extracting #4: cost 105 inf + 84 12.135 * * [simplify]: Extracting #5: cost 139 inf + 343 12.136 * * [simplify]: Extracting #6: cost 97 inf + 5103 12.141 * * [simplify]: Extracting #7: cost 34 inf + 36313 12.157 * * [simplify]: Extracting #8: cost 1 inf + 60074 12.177 * * [simplify]: Extracting #9: cost 0 inf + 60197 12.193 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 12.194 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 12.194 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 12.194 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 12.194 * * [simplify]: iters left: 6 (15 enodes) 12.201 * * [simplify]: iters left: 5 (62 enodes) 12.218 * * [simplify]: iters left: 4 (99 enodes) 12.244 * * [simplify]: iters left: 3 (142 enodes) 12.288 * * [simplify]: iters left: 2 (215 enodes) 12.338 * * [simplify]: iters left: 1 (364 enodes) 12.460 * * [simplify]: Extracting #0: cost 1 inf + 0 12.460 * * [simplify]: Extracting #1: cost 7 inf + 0 12.461 * * [simplify]: Extracting #2: cost 14 inf + 0 12.461 * * [simplify]: Extracting #3: cost 41 inf + 0 12.461 * * [simplify]: Extracting #4: cost 108 inf + 124 12.462 * * [simplify]: Extracting #5: cost 134 inf + 713 12.463 * * [simplify]: Extracting #6: cost 89 inf + 7865 12.469 * * [simplify]: Extracting #7: cost 23 inf + 42624 12.492 * * [simplify]: Extracting #8: cost 0 inf + 60960 12.510 * * [simplify]: Extracting #9: cost 0 inf + 60349 12.528 * * [simplify]: Extracting #10: cost 0 inf + 60309 12.546 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 12.547 * [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))))) 12.547 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.547 * * [simplify]: iters left: 6 (14 enodes) 12.555 * * [simplify]: iters left: 5 (57 enodes) 12.573 * * [simplify]: iters left: 4 (90 enodes) 12.602 * * [simplify]: iters left: 3 (127 enodes) 12.647 * * [simplify]: iters left: 2 (195 enodes) 12.718 * * [simplify]: iters left: 1 (356 enodes) 12.886 * * [simplify]: Extracting #0: cost 1 inf + 0 12.886 * * [simplify]: Extracting #1: cost 4 inf + 0 12.886 * * [simplify]: Extracting #2: cost 8 inf + 0 12.886 * * [simplify]: Extracting #3: cost 34 inf + 0 12.886 * * [simplify]: Extracting #4: cost 107 inf + 124 12.887 * * [simplify]: Extracting #5: cost 148 inf + 505 12.888 * * [simplify]: Extracting #6: cost 104 inf + 5977 12.896 * * [simplify]: Extracting #7: cost 40 inf + 28772 12.905 * * [simplify]: Extracting #8: cost 3 inf + 60625 12.915 * * [simplify]: Extracting #9: cost 0 inf + 62163 12.925 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 12.925 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 12.926 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 12.926 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 12.926 * * [simplify]: iters left: 6 (13 enodes) 12.933 * * [simplify]: iters left: 5 (54 enodes) 12.950 * * [simplify]: iters left: 4 (95 enodes) 12.965 * * [simplify]: iters left: 3 (137 enodes) 12.988 * * [simplify]: iters left: 2 (206 enodes) 13.028 * * [simplify]: iters left: 1 (362 enodes) 13.161 * * [simplify]: Extracting #0: cost 1 inf + 0 13.161 * * [simplify]: Extracting #1: cost 5 inf + 0 13.161 * * [simplify]: Extracting #2: cost 7 inf + 1 13.161 * * [simplify]: Extracting #3: cost 32 inf + 1 13.161 * * [simplify]: Extracting #4: cost 110 inf + 2 13.162 * * [simplify]: Extracting #5: cost 158 inf + 176 13.163 * * [simplify]: Extracting #6: cost 152 inf + 519 13.165 * * [simplify]: Extracting #7: cost 101 inf + 8278 13.171 * * [simplify]: Extracting #8: cost 36 inf + 29809 13.181 * * [simplify]: Extracting #9: cost 0 inf + 59743 13.193 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 13.193 * [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)))) 13.193 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.193 * * [simplify]: iters left: 6 (13 enodes) 13.197 * * [simplify]: iters left: 5 (54 enodes) 13.206 * * [simplify]: iters left: 4 (87 enodes) 13.221 * * [simplify]: iters left: 3 (128 enodes) 13.265 * * [simplify]: iters left: 2 (197 enodes) 13.331 * * [simplify]: iters left: 1 (354 enodes) 13.477 * * [simplify]: Extracting #0: cost 1 inf + 0 13.477 * * [simplify]: Extracting #1: cost 4 inf + 0 13.477 * * [simplify]: Extracting #2: cost 8 inf + 0 13.477 * * [simplify]: Extracting #3: cost 28 inf + 83 13.478 * * [simplify]: Extracting #4: cost 105 inf + 84 13.479 * * [simplify]: Extracting #5: cost 139 inf + 343 13.482 * * [simplify]: Extracting #6: cost 97 inf + 5103 13.492 * * [simplify]: Extracting #7: cost 34 inf + 36313 13.511 * * [simplify]: Extracting #8: cost 1 inf + 60074 13.531 * * [simplify]: Extracting #9: cost 0 inf + 60197 13.542 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 13.542 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 13.542 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 13.542 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 13.542 * * [simplify]: iters left: 6 (15 enodes) 13.547 * * [simplify]: iters left: 5 (62 enodes) 13.557 * * [simplify]: iters left: 4 (98 enodes) 13.581 * * [simplify]: iters left: 3 (134 enodes) 13.607 * * [simplify]: iters left: 2 (202 enodes) 13.650 * * [simplify]: iters left: 1 (362 enodes) 13.802 * * [simplify]: Extracting #0: cost 1 inf + 0 13.802 * * [simplify]: Extracting #1: cost 6 inf + 0 13.802 * * [simplify]: Extracting #2: cost 13 inf + 0 13.802 * * [simplify]: Extracting #3: cost 43 inf + 0 13.802 * * [simplify]: Extracting #4: cost 123 inf + 2 13.803 * * [simplify]: Extracting #5: cost 143 inf + 1737 13.806 * * [simplify]: Extracting #6: cost 78 inf + 14117 13.811 * * [simplify]: Extracting #7: cost 41 inf + 26321 13.823 * * [simplify]: Extracting #8: cost 0 inf + 58201 13.834 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 13.834 * [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))))) 13.834 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 13.834 * * [simplify]: iters left: 6 (14 enodes) 13.838 * * [simplify]: iters left: 5 (57 enodes) 13.848 * * [simplify]: iters left: 4 (91 enodes) 13.870 * * [simplify]: iters left: 3 (127 enodes) 13.911 * * [simplify]: iters left: 2 (195 enodes) 13.959 * * [simplify]: iters left: 1 (354 enodes) 14.123 * * [simplify]: Extracting #0: cost 1 inf + 0 14.123 * * [simplify]: Extracting #1: cost 4 inf + 0 14.123 * * [simplify]: Extracting #2: cost 9 inf + 0 14.123 * * [simplify]: Extracting #3: cost 36 inf + 0 14.123 * * [simplify]: Extracting #4: cost 113 inf + 164 14.124 * * [simplify]: Extracting #5: cost 137 inf + 711 14.126 * * [simplify]: Extracting #6: cost 71 inf + 16363 14.134 * * [simplify]: Extracting #7: cost 10 inf + 50147 14.147 * * [simplify]: Extracting #8: cost 0 inf + 57814 14.162 * * [simplify]: Extracting #9: cost 0 inf + 57305 14.172 * * [simplify]: Extracting #10: cost 0 inf + 57095 14.182 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 14.182 * [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))))) 14.182 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 14.182 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 14.182 * * [simplify]: iters left: 6 (15 enodes) 14.187 * * [simplify]: iters left: 5 (61 enodes) 14.207 * * [simplify]: iters left: 4 (95 enodes) 14.221 * * [simplify]: iters left: 3 (131 enodes) 14.251 * * [simplify]: iters left: 2 (199 enodes) 14.301 * * [simplify]: iters left: 1 (362 enodes) 14.423 * * [simplify]: Extracting #0: cost 1 inf + 0 14.424 * * [simplify]: Extracting #1: cost 4 inf + 0 14.424 * * [simplify]: Extracting #2: cost 10 inf + 0 14.424 * * [simplify]: Extracting #3: cost 41 inf + 0 14.425 * * [simplify]: Extracting #4: cost 124 inf + 325 14.426 * * [simplify]: Extracting #5: cost 146 inf + 2066 14.432 * * [simplify]: Extracting #6: cost 88 inf + 11216 14.439 * * [simplify]: Extracting #7: cost 59 inf + 18921 14.453 * * [simplify]: Extracting #8: cost 20 inf + 50076 14.472 * * [simplify]: Extracting #9: cost 0 inf + 68061 14.494 * * [simplify]: Extracting #10: cost 0 inf + 67850 14.513 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 14.514 * [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))))) 14.514 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 14.514 * * [simplify]: iters left: 6 (14 enodes) 14.522 * * [simplify]: iters left: 5 (57 enodes) 14.536 * * [simplify]: iters left: 4 (91 enodes) 14.549 * * [simplify]: iters left: 3 (127 enodes) 14.569 * * [simplify]: iters left: 2 (195 enodes) 14.607 * * [simplify]: iters left: 1 (354 enodes) 14.758 * * [simplify]: Extracting #0: cost 1 inf + 0 14.759 * * [simplify]: Extracting #1: cost 4 inf + 0 14.759 * * [simplify]: Extracting #2: cost 9 inf + 0 14.759 * * [simplify]: Extracting #3: cost 36 inf + 0 14.759 * * [simplify]: Extracting #4: cost 113 inf + 204 14.760 * * [simplify]: Extracting #5: cost 137 inf + 791 14.762 * * [simplify]: Extracting #6: cost 71 inf + 16443 14.778 * * [simplify]: Extracting #7: cost 10 inf + 50227 14.800 * * [simplify]: Extracting #8: cost 0 inf + 57894 14.809 * * [simplify]: Extracting #9: cost 0 inf + 57385 14.819 * * [simplify]: Extracting #10: cost 0 inf + 57175 14.832 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 14.832 * [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))))) 14.832 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 14.832 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.832 * * [simplify]: iters left: 6 (14 enodes) 14.840 * * [simplify]: iters left: 5 (57 enodes) 14.857 * * [simplify]: iters left: 4 (91 enodes) 14.871 * * [simplify]: iters left: 3 (127 enodes) 14.897 * * [simplify]: iters left: 2 (195 enodes) 14.967 * * [simplify]: iters left: 1 (354 enodes) 15.107 * * [simplify]: Extracting #0: cost 1 inf + 0 15.107 * * [simplify]: Extracting #1: cost 4 inf + 0 15.107 * * [simplify]: Extracting #2: cost 9 inf + 0 15.108 * * [simplify]: Extracting #3: cost 36 inf + 0 15.108 * * [simplify]: Extracting #4: cost 113 inf + 124 15.109 * * [simplify]: Extracting #5: cost 137 inf + 631 15.111 * * [simplify]: Extracting #6: cost 71 inf + 16283 15.119 * * [simplify]: Extracting #7: cost 10 inf + 49987 15.129 * * [simplify]: Extracting #8: cost 0 inf + 57654 15.147 * * [simplify]: Extracting #9: cost 0 inf + 57145 15.167 * * [simplify]: Extracting #10: cost 0 inf + 56935 15.186 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 15.187 * [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))))) 15.187 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 15.187 * * [simplify]: iters left: 6 (14 enodes) 15.195 * * [simplify]: iters left: 5 (57 enodes) 15.215 * * [simplify]: iters left: 4 (91 enodes) 15.245 * * [simplify]: iters left: 3 (127 enodes) 15.267 * * [simplify]: iters left: 2 (195 enodes) 15.311 * * [simplify]: iters left: 1 (354 enodes) 15.444 * * [simplify]: Extracting #0: cost 1 inf + 0 15.444 * * [simplify]: Extracting #1: cost 4 inf + 0 15.444 * * [simplify]: Extracting #2: cost 9 inf + 0 15.444 * * [simplify]: Extracting #3: cost 36 inf + 0 15.445 * * [simplify]: Extracting #4: cost 113 inf + 124 15.445 * * [simplify]: Extracting #5: cost 137 inf + 631 15.448 * * [simplify]: Extracting #6: cost 71 inf + 16283 15.455 * * [simplify]: Extracting #7: cost 10 inf + 49987 15.473 * * [simplify]: Extracting #8: cost 0 inf + 57654 15.492 * * [simplify]: Extracting #9: cost 0 inf + 57145 15.511 * * [simplify]: Extracting #10: cost 0 inf + 56935 15.534 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 15.534 * [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))))) 15.534 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 15.534 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 15.534 * * [simplify]: iters left: 6 (13 enodes) 15.543 * * [simplify]: iters left: 5 (54 enodes) 15.560 * * [simplify]: iters left: 4 (88 enodes) 15.579 * * [simplify]: iters left: 3 (127 enodes) 15.598 * * [simplify]: iters left: 2 (196 enodes) 15.662 * * [simplify]: iters left: 1 (362 enodes) 15.775 * * [simplify]: Extracting #0: cost 1 inf + 0 15.775 * * [simplify]: Extracting #1: cost 5 inf + 0 15.775 * * [simplify]: Extracting #2: cost 27 inf + 1 15.776 * * [simplify]: Extracting #3: cost 103 inf + 2 15.776 * * [simplify]: Extracting #4: cost 147 inf + 177 15.777 * * [simplify]: Extracting #5: cost 138 inf + 727 15.779 * * [simplify]: Extracting #6: cost 92 inf + 5570 15.791 * * [simplify]: Extracting #7: cost 20 inf + 39855 15.808 * * [simplify]: Extracting #8: cost 0 inf + 56614 15.825 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 15.826 * [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)))) 15.826 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 15.826 * * [simplify]: iters left: 6 (13 enodes) 15.838 * * [simplify]: iters left: 5 (54 enodes) 15.855 * * [simplify]: iters left: 4 (88 enodes) 15.869 * * [simplify]: iters left: 3 (125 enodes) 15.891 * * [simplify]: iters left: 2 (193 enodes) 15.935 * * [simplify]: iters left: 1 (356 enodes) 16.050 * * [simplify]: Extracting #0: cost 1 inf + 0 16.050 * * [simplify]: Extracting #1: cost 4 inf + 0 16.050 * * [simplify]: Extracting #2: cost 9 inf + 0 16.050 * * [simplify]: Extracting #3: cost 32 inf + 1 16.051 * * [simplify]: Extracting #4: cost 105 inf + 84 16.051 * * [simplify]: Extracting #5: cost 126 inf + 1591 16.054 * * [simplify]: Extracting #6: cost 68 inf + 14727 16.064 * * [simplify]: Extracting #7: cost 10 inf + 40855 16.080 * * [simplify]: Extracting #8: cost 0 inf + 47636 16.106 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 16.106 * [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)))) 16.107 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 16.110 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.111 * * [simplify]: iters left: 6 (14 enodes) 16.118 * * [simplify]: iters left: 5 (57 enodes) 16.136 * * [simplify]: iters left: 4 (91 enodes) 16.163 * * [simplify]: iters left: 3 (127 enodes) 16.199 * * [simplify]: iters left: 2 (195 enodes) 16.256 * * [simplify]: iters left: 1 (354 enodes) 16.404 * * [simplify]: Extracting #0: cost 1 inf + 0 16.404 * * [simplify]: Extracting #1: cost 4 inf + 0 16.404 * * [simplify]: Extracting #2: cost 9 inf + 0 16.404 * * [simplify]: Extracting #3: cost 36 inf + 0 16.405 * * [simplify]: Extracting #4: cost 113 inf + 124 16.406 * * [simplify]: Extracting #5: cost 137 inf + 631 16.411 * * [simplify]: Extracting #6: cost 71 inf + 16283 16.426 * * [simplify]: Extracting #7: cost 10 inf + 49987 16.446 * * [simplify]: Extracting #8: cost 0 inf + 57654 16.469 * * [simplify]: Extracting #9: cost 0 inf + 57145 16.481 * * [simplify]: Extracting #10: cost 0 inf + 56935 16.491 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.491 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 16.491 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.491 * * [simplify]: iters left: 6 (14 enodes) 16.495 * * [simplify]: iters left: 5 (57 enodes) 16.506 * * [simplify]: iters left: 4 (91 enodes) 16.534 * * [simplify]: iters left: 3 (127 enodes) 16.561 * * [simplify]: iters left: 2 (195 enodes) 16.605 * * [simplify]: iters left: 1 (354 enodes) 16.751 * * [simplify]: Extracting #0: cost 1 inf + 0 16.751 * * [simplify]: Extracting #1: cost 4 inf + 0 16.751 * * [simplify]: Extracting #2: cost 9 inf + 0 16.751 * * [simplify]: Extracting #3: cost 36 inf + 0 16.752 * * [simplify]: Extracting #4: cost 113 inf + 124 16.752 * * [simplify]: Extracting #5: cost 137 inf + 631 16.758 * * [simplify]: Extracting #6: cost 71 inf + 16283 16.765 * * [simplify]: Extracting #7: cost 10 inf + 49987 16.776 * * [simplify]: Extracting #8: cost 0 inf + 57654 16.796 * * [simplify]: Extracting #9: cost 0 inf + 57145 16.815 * * [simplify]: Extracting #10: cost 0 inf + 56935 16.834 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.834 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 16.834 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 16.835 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 16.835 * * [simplify]: iters left: 6 (12 enodes) 16.842 * * [simplify]: iters left: 5 (49 enodes) 16.858 * * [simplify]: iters left: 4 (83 enodes) 16.885 * * [simplify]: iters left: 3 (124 enodes) 16.927 * * [simplify]: iters left: 2 (197 enodes) 16.995 * * [simplify]: iters left: 1 (352 enodes) 17.112 * * [simplify]: Extracting #0: cost 1 inf + 0 17.112 * * [simplify]: Extracting #1: cost 5 inf + 0 17.112 * * [simplify]: Extracting #2: cost 27 inf + 1 17.112 * * [simplify]: Extracting #3: cost 107 inf + 2 17.113 * * [simplify]: Extracting #4: cost 136 inf + 177 17.114 * * [simplify]: Extracting #5: cost 130 inf + 641 17.116 * * [simplify]: Extracting #6: cost 70 inf + 10495 17.120 * * [simplify]: Extracting #7: cost 39 inf + 22866 17.127 * * [simplify]: Extracting #8: cost 5 inf + 50330 17.137 * * [simplify]: Extracting #9: cost 0 inf + 54200 17.155 * * [simplify]: Extracting #10: cost 0 inf + 53889 17.175 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 17.175 * [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)))) 17.176 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 17.176 * * [simplify]: iters left: 6 (13 enodes) 17.183 * * [simplify]: iters left: 5 (54 enodes) 17.192 * * [simplify]: iters left: 4 (88 enodes) 17.208 * * [simplify]: iters left: 3 (125 enodes) 17.239 * * [simplify]: iters left: 2 (193 enodes) 17.309 * * [simplify]: iters left: 1 (356 enodes) 17.464 * * [simplify]: Extracting #0: cost 1 inf + 0 17.464 * * [simplify]: Extracting #1: cost 4 inf + 0 17.464 * * [simplify]: Extracting #2: cost 9 inf + 0 17.464 * * [simplify]: Extracting #3: cost 32 inf + 1 17.465 * * [simplify]: Extracting #4: cost 105 inf + 84 17.466 * * [simplify]: Extracting #5: cost 126 inf + 1591 17.472 * * [simplify]: Extracting #6: cost 68 inf + 14727 17.490 * * [simplify]: Extracting #7: cost 10 inf + 40855 17.516 * * [simplify]: Extracting #8: cost 0 inf + 47636 17.537 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 17.537 * [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)))) 17.537 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 17.537 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 17.537 * * [simplify]: iters left: 6 (6 enodes) 17.539 * * [simplify]: iters left: 5 (22 enodes) 17.542 * * [simplify]: iters left: 4 (26 enodes) 17.547 * * [simplify]: Extracting #0: cost 1 inf + 0 17.547 * * [simplify]: Extracting #1: cost 6 inf + 0 17.547 * * [simplify]: Extracting #2: cost 9 inf + 1 17.547 * * [simplify]: Extracting #3: cost 11 inf + 1 17.547 * * [simplify]: Extracting #4: cost 8 inf + 84 17.547 * * [simplify]: Extracting #5: cost 2 inf + 1013 17.547 * * [simplify]: Extracting #6: cost 0 inf + 1376 17.547 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 17.547 * [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))))) 17.547 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 17.548 * * [simplify]: iters left: 6 (13 enodes) 17.551 * * [simplify]: iters left: 5 (54 enodes) 17.564 * * [simplify]: iters left: 4 (89 enodes) 17.578 * * [simplify]: iters left: 3 (136 enodes) 17.604 * * [simplify]: iters left: 2 (221 enodes) 17.675 * * [simplify]: iters left: 1 (444 enodes) 17.865 * * [simplify]: Extracting #0: cost 1 inf + 0 17.865 * * [simplify]: Extracting #1: cost 51 inf + 0 17.866 * * [simplify]: Extracting #2: cost 142 inf + 0 17.866 * * [simplify]: Extracting #3: cost 218 inf + 3 17.867 * * [simplify]: Extracting #4: cost 207 inf + 1337 17.870 * * [simplify]: Extracting #5: cost 133 inf + 19274 17.888 * * [simplify]: Extracting #6: cost 32 inf + 94866 17.923 * * [simplify]: Extracting #7: cost 0 inf + 124049 17.952 * * [simplify]: Extracting #8: cost 0 inf + 120814 17.974 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 17.974 * [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))))) 17.974 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 17.974 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 17.974 * * [simplify]: iters left: 6 (6 enodes) 17.978 * * [simplify]: iters left: 5 (21 enodes) 17.984 * * [simplify]: iters left: 4 (23 enodes) 17.990 * * [simplify]: Extracting #0: cost 1 inf + 0 17.991 * * [simplify]: Extracting #1: cost 4 inf + 0 17.991 * * [simplify]: Extracting #2: cost 6 inf + 1 17.991 * * [simplify]: Extracting #3: cost 9 inf + 1 17.991 * * [simplify]: Extracting #4: cost 8 inf + 2 17.991 * * [simplify]: Extracting #5: cost 1 inf + 810 17.991 * * [simplify]: Extracting #6: cost 0 inf + 972 17.991 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 17.992 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 17.992 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 17.992 * * [simplify]: iters left: 6 (13 enodes) 17.999 * * [simplify]: iters left: 5 (54 enodes) 18.017 * * [simplify]: iters left: 4 (89 enodes) 18.046 * * [simplify]: iters left: 3 (136 enodes) 18.090 * * [simplify]: iters left: 2 (221 enodes) 18.144 * * [simplify]: iters left: 1 (444 enodes) 18.341 * * [simplify]: Extracting #0: cost 1 inf + 0 18.342 * * [simplify]: Extracting #1: cost 51 inf + 0 18.342 * * [simplify]: Extracting #2: cost 142 inf + 0 18.343 * * [simplify]: Extracting #3: cost 218 inf + 3 18.344 * * [simplify]: Extracting #4: cost 207 inf + 1377 18.347 * * [simplify]: Extracting #5: cost 133 inf + 19354 18.374 * * [simplify]: Extracting #6: cost 32 inf + 94946 18.408 * * [simplify]: Extracting #7: cost 0 inf + 124129 18.442 * * [simplify]: Extracting #8: cost 0 inf + 120894 18.474 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 18.474 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 18.474 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 18.475 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 18.475 * * [simplify]: iters left: 4 (5 enodes) 18.477 * * [simplify]: iters left: 3 (17 enodes) 18.483 * * [simplify]: iters left: 2 (19 enodes) 18.489 * * [simplify]: Extracting #0: cost 1 inf + 0 18.489 * * [simplify]: Extracting #1: cost 4 inf + 0 18.489 * * [simplify]: Extracting #2: cost 5 inf + 1 18.489 * * [simplify]: Extracting #3: cost 7 inf + 1 18.489 * * [simplify]: Extracting #4: cost 0 inf + 490 18.489 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 18.489 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 18.490 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 18.490 * * [simplify]: iters left: 6 (13 enodes) 18.497 * * [simplify]: iters left: 5 (54 enodes) 18.515 * * [simplify]: iters left: 4 (89 enodes) 18.543 * * [simplify]: iters left: 3 (136 enodes) 18.569 * * [simplify]: iters left: 2 (221 enodes) 18.625 * * [simplify]: iters left: 1 (444 enodes) 18.832 * * [simplify]: Extracting #0: cost 1 inf + 0 18.833 * * [simplify]: Extracting #1: cost 51 inf + 0 18.833 * * [simplify]: Extracting #2: cost 142 inf + 0 18.835 * * [simplify]: Extracting #3: cost 218 inf + 3 18.837 * * [simplify]: Extracting #4: cost 207 inf + 1257 18.844 * * [simplify]: Extracting #5: cost 133 inf + 18954 18.867 * * [simplify]: Extracting #6: cost 32 inf + 92706 18.903 * * [simplify]: Extracting #7: cost 0 inf + 121009 18.938 * * [simplify]: Extracting #8: cost 0 inf + 117774 18.978 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 18.978 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 18.978 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 18.978 * [simplify]: Simplifying (/ 1 (sqrt 1)) 18.979 * * [simplify]: iters left: 3 (3 enodes) 18.983 * * [simplify]: iters left: 2 (11 enodes) 18.985 * * [simplify]: iters left: 1 (13 enodes) 18.987 * * [simplify]: Extracting #0: cost 1 inf + 0 18.987 * * [simplify]: Extracting #1: cost 0 inf + 1 18.987 * [simplify]: Simplified to 1 18.987 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 18.987 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 18.987 * * [simplify]: iters left: 6 (12 enodes) 18.990 * * [simplify]: iters left: 5 (51 enodes) 18.999 * * [simplify]: iters left: 4 (86 enodes) 19.013 * * [simplify]: iters left: 3 (133 enodes) 19.055 * * [simplify]: iters left: 2 (218 enodes) 19.136 * * [simplify]: iters left: 1 (444 enodes) 19.289 * * [simplify]: Extracting #0: cost 1 inf + 0 19.289 * * [simplify]: Extracting #1: cost 39 inf + 0 19.290 * * [simplify]: Extracting #2: cost 126 inf + 0 19.290 * * [simplify]: Extracting #3: cost 201 inf + 4 19.291 * * [simplify]: Extracting #4: cost 189 inf + 1508 19.294 * * [simplify]: Extracting #5: cost 135 inf + 9951 19.302 * * [simplify]: Extracting #6: cost 51 inf + 62585 19.317 * * [simplify]: Extracting #7: cost 2 inf + 102691 19.348 * * [simplify]: Extracting #8: cost 0 inf + 104433 19.380 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 19.380 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 19.381 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 19.381 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.381 * * [simplify]: iters left: 4 (5 enodes) 19.384 * * [simplify]: iters left: 3 (17 enodes) 19.389 * * [simplify]: iters left: 2 (19 enodes) 19.395 * * [simplify]: Extracting #0: cost 1 inf + 0 19.395 * * [simplify]: Extracting #1: cost 4 inf + 0 19.395 * * [simplify]: Extracting #2: cost 5 inf + 1 19.395 * * [simplify]: Extracting #3: cost 7 inf + 1 19.396 * * [simplify]: Extracting #4: cost 0 inf + 490 19.396 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.396 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 19.396 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 19.396 * * [simplify]: iters left: 6 (13 enodes) 19.403 * * [simplify]: iters left: 5 (54 enodes) 19.421 * * [simplify]: iters left: 4 (89 enodes) 19.450 * * [simplify]: iters left: 3 (136 enodes) 19.497 * * [simplify]: iters left: 2 (221 enodes) 19.580 * * [simplify]: iters left: 1 (444 enodes) 19.815 * * [simplify]: Extracting #0: cost 1 inf + 0 19.815 * * [simplify]: Extracting #1: cost 51 inf + 0 19.816 * * [simplify]: Extracting #2: cost 142 inf + 0 19.818 * * [simplify]: Extracting #3: cost 218 inf + 3 19.820 * * [simplify]: Extracting #4: cost 207 inf + 1257 19.826 * * [simplify]: Extracting #5: cost 133 inf + 18954 19.856 * * [simplify]: Extracting #6: cost 32 inf + 92706 19.892 * * [simplify]: Extracting #7: cost 0 inf + 121009 19.928 * * [simplify]: Extracting #8: cost 0 inf + 117774 19.964 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 19.964 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 19.964 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 19.964 * [simplify]: Simplifying (/ 1 1) 19.964 * * [simplify]: iters left: 2 (2 enodes) 19.966 * * [simplify]: iters left: 1 (6 enodes) 19.968 * * [simplify]: Extracting #0: cost 1 inf + 0 19.968 * * [simplify]: Extracting #1: cost 0 inf + 1 19.968 * [simplify]: Simplified to 1 19.968 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 19.968 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 19.968 * * [simplify]: iters left: 6 (12 enodes) 19.975 * * [simplify]: iters left: 5 (51 enodes) 19.987 * * [simplify]: iters left: 4 (86 enodes) 20.003 * * [simplify]: iters left: 3 (133 enodes) 20.026 * * [simplify]: iters left: 2 (218 enodes) 20.080 * * [simplify]: iters left: 1 (444 enodes) 20.265 * * [simplify]: Extracting #0: cost 1 inf + 0 20.265 * * [simplify]: Extracting #1: cost 39 inf + 0 20.265 * * [simplify]: Extracting #2: cost 126 inf + 0 20.267 * * [simplify]: Extracting #3: cost 201 inf + 4 20.270 * * [simplify]: Extracting #4: cost 189 inf + 1508 20.276 * * [simplify]: Extracting #5: cost 135 inf + 9951 20.291 * * [simplify]: Extracting #6: cost 51 inf + 62585 20.309 * * [simplify]: Extracting #7: cost 2 inf + 102691 20.341 * * [simplify]: Extracting #8: cost 0 inf + 104433 20.372 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 20.372 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 20.373 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 20.373 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 20.373 * * [simplify]: iters left: 6 (15 enodes) 20.381 * * [simplify]: iters left: 5 (65 enodes) 20.406 * * [simplify]: iters left: 4 (109 enodes) 20.440 * * [simplify]: iters left: 3 (185 enodes) 20.479 * * [simplify]: iters left: 2 (368 enodes) 20.602 * * [simplify]: Extracting #0: cost 1 inf + 0 20.602 * * [simplify]: Extracting #1: cost 54 inf + 0 20.605 * * [simplify]: Extracting #2: cost 144 inf + 0 20.606 * * [simplify]: Extracting #3: cost 223 inf + 2 20.607 * * [simplify]: Extracting #4: cost 217 inf + 1415 20.610 * * [simplify]: Extracting #5: cost 166 inf + 8610 20.617 * * [simplify]: Extracting #6: cost 63 inf + 69583 20.633 * * [simplify]: Extracting #7: cost 0 inf + 121597 20.652 * * [simplify]: Extracting #8: cost 0 inf + 120169 20.668 * * [simplify]: Extracting #9: cost 0 inf + 120168 20.684 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 20.684 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 20.685 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 20.685 * * [simplify]: iters left: 6 (14 enodes) 20.694 * * [simplify]: iters left: 5 (60 enodes) 20.714 * * [simplify]: iters left: 4 (98 enodes) 20.745 * * [simplify]: iters left: 3 (157 enodes) 20.800 * * [simplify]: iters left: 2 (290 enodes) 20.874 * * [simplify]: Extracting #0: cost 1 inf + 0 20.874 * * [simplify]: Extracting #1: cost 30 inf + 0 20.874 * * [simplify]: Extracting #2: cost 72 inf + 0 20.874 * * [simplify]: Extracting #3: cost 138 inf + 2 20.875 * * [simplify]: Extracting #4: cost 142 inf + 932 20.878 * * [simplify]: Extracting #5: cost 72 inf + 18422 20.884 * * [simplify]: Extracting #6: cost 10 inf + 45090 20.896 * * [simplify]: Extracting #7: cost 0 inf + 51502 20.913 * * [simplify]: Extracting #8: cost 0 inf + 51262 20.933 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 20.933 * [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))))) 20.933 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 20.933 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 20.933 * * [simplify]: iters left: 6 (15 enodes) 20.942 * * [simplify]: iters left: 5 (64 enodes) 20.953 * * [simplify]: iters left: 4 (102 enodes) 20.969 * * [simplify]: iters left: 3 (161 enodes) 21.019 * * [simplify]: iters left: 2 (288 enodes) 21.110 * * [simplify]: Extracting #0: cost 1 inf + 0 21.110 * * [simplify]: Extracting #1: cost 30 inf + 0 21.110 * * [simplify]: Extracting #2: cost 73 inf + 0 21.111 * * [simplify]: Extracting #3: cost 138 inf + 2 21.112 * * [simplify]: Extracting #4: cost 144 inf + 347 21.114 * * [simplify]: Extracting #5: cost 101 inf + 5180 21.119 * * [simplify]: Extracting #6: cost 44 inf + 26188 21.126 * * [simplify]: Extracting #7: cost 7 inf + 54487 21.133 * * [simplify]: Extracting #8: cost 0 inf + 59312 21.141 * * [simplify]: Extracting #9: cost 0 inf + 58534 21.157 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 21.157 * [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))))) 21.157 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 21.157 * * [simplify]: iters left: 6 (14 enodes) 21.166 * * [simplify]: iters left: 5 (60 enodes) 21.180 * * [simplify]: iters left: 4 (98 enodes) 21.196 * * [simplify]: iters left: 3 (157 enodes) 21.225 * * [simplify]: iters left: 2 (290 enodes) 21.321 * * [simplify]: Extracting #0: cost 1 inf + 0 21.321 * * [simplify]: Extracting #1: cost 30 inf + 0 21.321 * * [simplify]: Extracting #2: cost 72 inf + 0 21.322 * * [simplify]: Extracting #3: cost 138 inf + 2 21.322 * * [simplify]: Extracting #4: cost 142 inf + 932 21.325 * * [simplify]: Extracting #5: cost 72 inf + 18502 21.333 * * [simplify]: Extracting #6: cost 10 inf + 45170 21.342 * * [simplify]: Extracting #7: cost 0 inf + 51582 21.353 * * [simplify]: Extracting #8: cost 0 inf + 51342 21.365 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 21.366 * [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))))) 21.366 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 21.366 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 21.366 * * [simplify]: iters left: 6 (14 enodes) 21.370 * * [simplify]: iters left: 5 (60 enodes) 21.380 * * [simplify]: iters left: 4 (98 enodes) 21.401 * * [simplify]: iters left: 3 (157 enodes) 21.437 * * [simplify]: iters left: 2 (290 enodes) 21.512 * * [simplify]: Extracting #0: cost 1 inf + 0 21.512 * * [simplify]: Extracting #1: cost 30 inf + 0 21.512 * * [simplify]: Extracting #2: cost 72 inf + 0 21.512 * * [simplify]: Extracting #3: cost 138 inf + 2 21.513 * * [simplify]: Extracting #4: cost 142 inf + 932 21.516 * * [simplify]: Extracting #5: cost 72 inf + 18102 21.527 * * [simplify]: Extracting #6: cost 10 inf + 44010 21.545 * * [simplify]: Extracting #7: cost 0 inf + 50022 21.565 * * [simplify]: Extracting #8: cost 0 inf + 49782 21.580 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 21.580 * [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))))) 21.580 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 21.581 * * [simplify]: iters left: 6 (14 enodes) 21.588 * * [simplify]: iters left: 5 (60 enodes) 21.606 * * [simplify]: iters left: 4 (98 enodes) 21.634 * * [simplify]: iters left: 3 (157 enodes) 21.682 * * [simplify]: iters left: 2 (290 enodes) 22.144 * * [simplify]: Extracting #0: cost 1 inf + 0 22.144 * * [simplify]: Extracting #1: cost 30 inf + 0 22.144 * * [simplify]: Extracting #2: cost 72 inf + 0 22.145 * * [simplify]: Extracting #3: cost 138 inf + 2 22.145 * * [simplify]: Extracting #4: cost 142 inf + 932 22.148 * * [simplify]: Extracting #5: cost 72 inf + 18102 22.155 * * [simplify]: Extracting #6: cost 10 inf + 44010 22.174 * * [simplify]: Extracting #7: cost 0 inf + 50022 22.190 * * [simplify]: Extracting #8: cost 0 inf + 49782 22.207 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 22.207 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 22.207 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 22.208 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 22.208 * * [simplify]: iters left: 6 (13 enodes) 22.216 * * [simplify]: iters left: 5 (57 enodes) 22.226 * * [simplify]: iters left: 4 (93 enodes) 22.242 * * [simplify]: iters left: 3 (148 enodes) 22.289 * * [simplify]: iters left: 2 (271 enodes) 22.369 * * [simplify]: iters left: 1 (495 enodes) 22.583 * * [simplify]: Extracting #0: cost 1 inf + 0 22.584 * * [simplify]: Extracting #1: cost 55 inf + 0 22.585 * * [simplify]: Extracting #2: cost 164 inf + 2 22.586 * * [simplify]: Extracting #3: cost 237 inf + 220 22.589 * * [simplify]: Extracting #4: cost 230 inf + 978 22.595 * * [simplify]: Extracting #5: cost 141 inf + 13550 22.608 * * [simplify]: Extracting #6: cost 75 inf + 38571 22.634 * * [simplify]: Extracting #7: cost 10 inf + 93049 22.653 * * [simplify]: Extracting #8: cost 0 inf + 100862 22.670 * * [simplify]: Extracting #9: cost 0 inf + 100439 22.696 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 22.696 * [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)))) 22.697 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 22.697 * * [simplify]: iters left: 6 (13 enodes) 22.704 * * [simplify]: iters left: 5 (57 enodes) 22.723 * * [simplify]: iters left: 4 (95 enodes) 22.754 * * [simplify]: iters left: 3 (154 enodes) 22.812 * * [simplify]: iters left: 2 (287 enodes) 22.878 * * [simplify]: Extracting #0: cost 1 inf + 0 22.878 * * [simplify]: Extracting #1: cost 30 inf + 0 22.878 * * [simplify]: Extracting #2: cost 73 inf + 0 22.879 * * [simplify]: Extracting #3: cost 136 inf + 3 22.880 * * [simplify]: Extracting #4: cost 132 inf + 1178 22.884 * * [simplify]: Extracting #5: cost 90 inf + 6800 22.891 * * [simplify]: Extracting #6: cost 20 inf + 38881 22.899 * * [simplify]: Extracting #7: cost 0 inf + 54585 22.906 * * [simplify]: Extracting #8: cost 0 inf + 54374 22.913 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 22.914 * [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)))) 22.914 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 22.914 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 22.914 * * [simplify]: iters left: 6 (14 enodes) 22.918 * * [simplify]: iters left: 5 (60 enodes) 22.939 * * [simplify]: iters left: 4 (98 enodes) 22.963 * * [simplify]: iters left: 3 (157 enodes) 23.000 * * [simplify]: iters left: 2 (290 enodes) 23.110 * * [simplify]: Extracting #0: cost 1 inf + 0 23.111 * * [simplify]: Extracting #1: cost 30 inf + 0 23.111 * * [simplify]: Extracting #2: cost 72 inf + 0 23.112 * * [simplify]: Extracting #3: cost 138 inf + 2 23.113 * * [simplify]: Extracting #4: cost 142 inf + 932 23.118 * * [simplify]: Extracting #5: cost 72 inf + 18102 23.135 * * [simplify]: Extracting #6: cost 10 inf + 44010 23.152 * * [simplify]: Extracting #7: cost 0 inf + 50022 23.169 * * [simplify]: Extracting #8: cost 0 inf + 49782 23.186 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.186 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 23.186 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.187 * * [simplify]: iters left: 6 (14 enodes) 23.195 * * [simplify]: iters left: 5 (60 enodes) 23.214 * * [simplify]: iters left: 4 (98 enodes) 23.245 * * [simplify]: iters left: 3 (157 enodes) 23.304 * * [simplify]: iters left: 2 (290 enodes) 23.388 * * [simplify]: Extracting #0: cost 1 inf + 0 23.388 * * [simplify]: Extracting #1: cost 30 inf + 0 23.388 * * [simplify]: Extracting #2: cost 72 inf + 0 23.389 * * [simplify]: Extracting #3: cost 138 inf + 2 23.392 * * [simplify]: Extracting #4: cost 142 inf + 932 23.395 * * [simplify]: Extracting #5: cost 72 inf + 18102 23.402 * * [simplify]: Extracting #6: cost 10 inf + 44010 23.413 * * [simplify]: Extracting #7: cost 0 inf + 50022 23.429 * * [simplify]: Extracting #8: cost 0 inf + 49782 23.446 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.446 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 23.447 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 23.447 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 23.447 * * [simplify]: iters left: 6 (12 enodes) 23.455 * * [simplify]: iters left: 5 (52 enodes) 23.471 * * [simplify]: iters left: 4 (90 enodes) 23.486 * * [simplify]: iters left: 3 (151 enodes) 23.521 * * [simplify]: iters left: 2 (287 enodes) 23.598 * * [simplify]: Extracting #0: cost 1 inf + 0 23.598 * * [simplify]: Extracting #1: cost 31 inf + 0 23.598 * * [simplify]: Extracting #2: cost 99 inf + 2 23.599 * * [simplify]: Extracting #3: cost 141 inf + 219 23.600 * * [simplify]: Extracting #4: cost 141 inf + 641 23.603 * * [simplify]: Extracting #5: cost 86 inf + 6314 23.611 * * [simplify]: Extracting #6: cost 34 inf + 26657 23.619 * * [simplify]: Extracting #7: cost 3 inf + 48037 23.625 * * [simplify]: Extracting #8: cost 0 inf + 50067 23.633 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 23.633 * [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)))) 23.633 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 23.633 * * [simplify]: iters left: 6 (13 enodes) 23.637 * * [simplify]: iters left: 5 (57 enodes) 23.650 * * [simplify]: iters left: 4 (95 enodes) 23.670 * * [simplify]: iters left: 3 (154 enodes) 23.712 * * [simplify]: iters left: 2 (287 enodes) 23.805 * * [simplify]: Extracting #0: cost 1 inf + 0 23.805 * * [simplify]: Extracting #1: cost 30 inf + 0 23.805 * * [simplify]: Extracting #2: cost 73 inf + 0 23.806 * * [simplify]: Extracting #3: cost 136 inf + 3 23.807 * * [simplify]: Extracting #4: cost 132 inf + 1178 23.811 * * [simplify]: Extracting #5: cost 90 inf + 6800 23.819 * * [simplify]: Extracting #6: cost 20 inf + 38881 23.826 * * [simplify]: Extracting #7: cost 0 inf + 54585 23.833 * * [simplify]: Extracting #8: cost 0 inf + 54374 23.844 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 23.844 * [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)))) 23.845 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 23.845 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 23.845 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 23.845 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 23.845 * [simplify]: Simplifying (cbrt (sqrt k)) 23.845 * * [simplify]: iters left: 2 (3 enodes) 23.846 * * [simplify]: iters left: 1 (9 enodes) 23.849 * * [simplify]: Extracting #0: cost 1 inf + 0 23.849 * * [simplify]: Extracting #1: cost 3 inf + 0 23.849 * * [simplify]: Extracting #2: cost 5 inf + 0 23.849 * * [simplify]: Extracting #3: cost 4 inf + 1 23.849 * * [simplify]: Extracting #4: cost 0 inf + 325 23.849 * [simplify]: Simplified to (cbrt (sqrt k)) 23.849 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 23.849 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 23.849 * [simplify]: Simplifying (sqrt (cbrt k)) 23.849 * * [simplify]: iters left: 2 (3 enodes) 23.851 * * [simplify]: iters left: 1 (9 enodes) 23.853 * * [simplify]: Extracting #0: cost 1 inf + 0 23.853 * * [simplify]: Extracting #1: cost 3 inf + 0 23.853 * * [simplify]: Extracting #2: cost 5 inf + 0 23.853 * * [simplify]: Extracting #3: cost 4 inf + 1 23.853 * * [simplify]: Extracting #4: cost 0 inf + 405 23.854 * [simplify]: Simplified to (sqrt (cbrt k)) 23.854 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 23.854 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 23.854 * [simplify]: Simplifying (sqrt (sqrt k)) 23.854 * * [simplify]: iters left: 2 (3 enodes) 23.855 * * [simplify]: iters left: 1 (9 enodes) 23.858 * * [simplify]: Extracting #0: cost 1 inf + 0 23.858 * * [simplify]: Extracting #1: cost 3 inf + 0 23.858 * * [simplify]: Extracting #2: cost 5 inf + 0 23.858 * * [simplify]: Extracting #3: cost 4 inf + 1 23.858 * * [simplify]: Extracting #4: cost 0 inf + 245 23.858 * [simplify]: Simplified to (sqrt (sqrt k)) 23.858 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 23.859 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 23.859 * [simplify]: Simplifying (sqrt k) 23.859 * * [simplify]: iters left: 1 (2 enodes) 23.860 * * [simplify]: Extracting #0: cost 1 inf + 0 23.860 * * [simplify]: Extracting #1: cost 3 inf + 0 23.860 * * [simplify]: Extracting #2: cost 2 inf + 1 23.860 * * [simplify]: Extracting #3: cost 0 inf + 83 23.860 * [simplify]: Simplified to (sqrt k) 23.860 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 23.860 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 23.860 * [simplify]: Simplifying (sqrt (sqrt k)) 23.860 * * [simplify]: iters left: 2 (3 enodes) 23.862 * * [simplify]: iters left: 1 (9 enodes) 23.864 * * [simplify]: Extracting #0: cost 1 inf + 0 23.864 * * [simplify]: Extracting #1: cost 3 inf + 0 23.864 * * [simplify]: Extracting #2: cost 5 inf + 0 23.864 * * [simplify]: Extracting #3: cost 4 inf + 1 23.864 * * [simplify]: Extracting #4: cost 0 inf + 245 23.864 * [simplify]: Simplified to (sqrt (sqrt k)) 23.864 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 23.864 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 23.865 * [simplify]: Simplifying (sqrt k) 23.865 * * [simplify]: iters left: 1 (2 enodes) 23.866 * * [simplify]: Extracting #0: cost 1 inf + 0 23.866 * * [simplify]: Extracting #1: cost 3 inf + 0 23.866 * * [simplify]: Extracting #2: cost 2 inf + 1 23.866 * * [simplify]: Extracting #3: cost 0 inf + 83 23.866 * [simplify]: Simplified to (sqrt k) 23.866 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 23.866 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 23.866 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 23.866 * * [simplify]: iters left: 5 (7 enodes) 23.871 * * [simplify]: iters left: 4 (32 enodes) 23.883 * * [simplify]: iters left: 3 (57 enodes) 23.901 * * [simplify]: iters left: 2 (88 enodes) 23.931 * * [simplify]: iters left: 1 (156 enodes) 23.972 * * [simplify]: Extracting #0: cost 1 inf + 0 23.972 * * [simplify]: Extracting #1: cost 13 inf + 0 23.972 * * [simplify]: Extracting #2: cost 49 inf + 2 23.972 * * [simplify]: Extracting #3: cost 80 inf + 6 23.973 * * [simplify]: Extracting #4: cost 58 inf + 1840 23.976 * * [simplify]: Extracting #5: cost 22 inf + 9206 23.982 * * [simplify]: Extracting #6: cost 1 inf + 20886 23.988 * * [simplify]: Extracting #7: cost 0 inf + 21301 23.995 * * [simplify]: Extracting #8: cost 0 inf + 21130 24.001 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 24.001 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 24.001 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 24.001 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 24.002 * * [simplify]: iters left: 6 (12 enodes) 24.008 * * [simplify]: iters left: 5 (51 enodes) 24.025 * * [simplify]: iters left: 4 (84 enodes) 24.053 * * [simplify]: iters left: 3 (125 enodes) 24.076 * * [simplify]: iters left: 2 (198 enodes) 24.115 * * [simplify]: iters left: 1 (353 enodes) 24.266 * * [simplify]: Extracting #0: cost 1 inf + 0 24.266 * * [simplify]: Extracting #1: cost 3 inf + 0 24.266 * * [simplify]: Extracting #2: cost 5 inf + 0 24.266 * * [simplify]: Extracting #3: cost 28 inf + 0 24.267 * * [simplify]: Extracting #4: cost 101 inf + 1 24.267 * * [simplify]: Extracting #5: cost 136 inf + 176 24.268 * * [simplify]: Extracting #6: cost 127 inf + 1730 24.271 * * [simplify]: Extracting #7: cost 68 inf + 14428 24.284 * * [simplify]: Extracting #8: cost 24 inf + 38979 24.305 * * [simplify]: Extracting #9: cost 0 inf + 59741 24.316 * * [simplify]: Extracting #10: cost 0 inf + 57850 24.327 * * [simplify]: Extracting #11: cost 0 inf + 57436 24.349 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 24.349 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 24.349 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 24.349 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 24.350 * * [simplify]: iters left: 6 (11 enodes) 24.359 * * [simplify]: iters left: 5 (48 enodes) 24.375 * * [simplify]: iters left: 4 (78 enodes) 24.401 * * [simplify]: iters left: 3 (120 enodes) 24.443 * * [simplify]: iters left: 2 (211 enodes) 24.520 * * [simplify]: iters left: 1 (378 enodes) 24.692 * * [simplify]: Extracting #0: cost 1 inf + 0 24.692 * * [simplify]: Extracting #1: cost 4 inf + 0 24.692 * * [simplify]: Extracting #2: cost 28 inf + 0 24.692 * * [simplify]: Extracting #3: cost 111 inf + 1 24.693 * * [simplify]: Extracting #4: cost 151 inf + 220 24.694 * * [simplify]: Extracting #5: cost 149 inf + 601 24.695 * * [simplify]: Extracting #6: cost 109 inf + 5630 24.699 * * [simplify]: Extracting #7: cost 43 inf + 25793 24.714 * * [simplify]: Extracting #8: cost 5 inf + 52343 24.734 * * [simplify]: Extracting #9: cost 0 inf + 56629 24.759 * * [simplify]: Extracting #10: cost 0 inf + 55972 24.779 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 24.779 * [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)))))) 24.779 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 24.780 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 24.780 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 24.780 * * [simplify]: iters left: 6 (11 enodes) 24.787 * * [simplify]: iters left: 5 (51 enodes) 24.804 * * [simplify]: iters left: 4 (87 enodes) 24.833 * * [simplify]: iters left: 3 (143 enodes) 24.884 * * [simplify]: iters left: 2 (259 enodes) 24.964 * * [simplify]: iters left: 1 (467 enodes) 25.156 * * [simplify]: Extracting #0: cost 1 inf + 0 25.156 * * [simplify]: Extracting #1: cost 23 inf + 0 25.157 * * [simplify]: Extracting #2: cost 99 inf + 1 25.158 * * [simplify]: Extracting #3: cost 180 inf + 178 25.159 * * [simplify]: Extracting #4: cost 162 inf + 2505 25.162 * * [simplify]: Extracting #5: cost 78 inf + 12096 25.171 * * [simplify]: Extracting #6: cost 33 inf + 29460 25.180 * * [simplify]: Extracting #7: cost 1 inf + 56926 25.190 * * [simplify]: Extracting #8: cost 0 inf + 57804 25.208 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 25.209 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 25.209 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 25.209 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 25.210 * * [simplify]: iters left: 5 (8 enodes) 25.215 * * [simplify]: iters left: 4 (35 enodes) 25.228 * * [simplify]: iters left: 3 (63 enodes) 25.241 * * [simplify]: iters left: 2 (108 enodes) 25.259 * * [simplify]: iters left: 1 (162 enodes) 25.289 * * [simplify]: Extracting #0: cost 1 inf + 0 25.289 * * [simplify]: Extracting #1: cost 12 inf + 0 25.289 * * [simplify]: Extracting #2: cost 40 inf + 2 25.289 * * [simplify]: Extracting #3: cost 40 inf + 9 25.289 * * [simplify]: Extracting #4: cost 25 inf + 2233 25.290 * * [simplify]: Extracting #5: cost 10 inf + 8991 25.292 * * [simplify]: Extracting #6: cost 0 inf + 14572 25.293 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 25.294 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 25.294 * * * * [progress]: [ 99 / 127 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 25.294 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 25.294 * [simplify]: Simplifying (* n (* 2 PI)) 25.294 * * [simplify]: iters left: 4 (5 enodes) 25.296 * * [simplify]: iters left: 3 (19 enodes) 25.299 * * [simplify]: iters left: 2 (27 enodes) 25.303 * * [simplify]: iters left: 1 (32 enodes) 25.307 * * [simplify]: Extracting #0: cost 1 inf + 0 25.307 * * [simplify]: Extracting #1: cost 8 inf + 0 25.307 * * [simplify]: Extracting #2: cost 7 inf + 45 25.307 * * [simplify]: Extracting #3: cost 0 inf + 421 25.307 * [simplify]: Simplified to (* (* PI 2) n) 25.307 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 25.307 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 25.307 * [simplify]: Simplifying (* n (* 2 PI)) 25.307 * * [simplify]: iters left: 4 (5 enodes) 25.309 * * [simplify]: iters left: 3 (19 enodes) 25.312 * * [simplify]: iters left: 2 (27 enodes) 25.316 * * [simplify]: iters left: 1 (32 enodes) 25.323 * * [simplify]: Extracting #0: cost 1 inf + 0 25.324 * * [simplify]: Extracting #1: cost 8 inf + 0 25.324 * * [simplify]: Extracting #2: cost 7 inf + 45 25.324 * * [simplify]: Extracting #3: cost 0 inf + 421 25.324 * [simplify]: Simplified to (* (* PI 2) n) 25.324 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 25.324 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 25.324 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 25.325 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 25.325 * * [simplify]: iters left: 5 (8 enodes) 25.329 * * [simplify]: iters left: 4 (28 enodes) 25.338 * * [simplify]: iters left: 3 (36 enodes) 25.349 * * [simplify]: iters left: 2 (42 enodes) 25.361 * * [simplify]: Extracting #0: cost 1 inf + 0 25.361 * * [simplify]: Extracting #1: cost 8 inf + 0 25.361 * * [simplify]: Extracting #2: cost 17 inf + 0 25.361 * * [simplify]: Extracting #3: cost 12 inf + 145 25.361 * * [simplify]: Extracting #4: cost 5 inf + 1197 25.362 * * [simplify]: Extracting #5: cost 1 inf + 1925 25.362 * * [simplify]: Extracting #6: cost 0 inf + 2107 25.363 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 25.363 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 25.363 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 25.363 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 25.364 * * [simplify]: iters left: 5 (7 enodes) 25.368 * * [simplify]: iters left: 4 (26 enodes) 25.379 * * [simplify]: iters left: 3 (35 enodes) 25.389 * * [simplify]: iters left: 2 (44 enodes) 25.398 * * [simplify]: Extracting #0: cost 1 inf + 0 25.398 * * [simplify]: Extracting #1: cost 8 inf + 0 25.398 * * [simplify]: Extracting #2: cost 18 inf + 0 25.398 * * [simplify]: Extracting #3: cost 15 inf + 74 25.398 * * [simplify]: Extracting #4: cost 8 inf + 554 25.398 * * [simplify]: Extracting #5: cost 0 inf + 1911 25.399 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 25.399 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 25.399 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 25.399 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 25.399 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 25.399 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 25.399 * * [simplify]: iters left: 6 (11 enodes) 25.403 * * [simplify]: iters left: 5 (48 enodes) 25.413 * * [simplify]: iters left: 4 (121 enodes) 25.443 * * [simplify]: iters left: 3 (348 enodes) 25.654 * * [simplify]: Extracting #0: cost 1 inf + 0 25.654 * * [simplify]: Extracting #1: cost 67 inf + 0 25.655 * * [simplify]: Extracting #2: cost 165 inf + 786 25.657 * * [simplify]: Extracting #3: cost 85 inf + 10177 25.668 * * [simplify]: Extracting #4: cost 9 inf + 26399 25.681 * * [simplify]: Extracting #5: cost 0 inf + 28546 25.694 * * [simplify]: Extracting #6: cost 0 inf + 28506 25.706 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 25.707 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 25.708 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 25.708 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 25.708 * * [simplify]: iters left: 6 (9 enodes) 25.714 * * [simplify]: iters left: 5 (45 enodes) 25.735 * * [simplify]: iters left: 4 (117 enodes) 25.793 * * [simplify]: iters left: 3 (374 enodes) 26.062 * * [simplify]: Extracting #0: cost 1 inf + 0 26.063 * * [simplify]: Extracting #1: cost 77 inf + 0 26.065 * * [simplify]: Extracting #2: cost 184 inf + 984 26.072 * * [simplify]: Extracting #3: cost 106 inf + 11690 26.090 * * [simplify]: Extracting #4: cost 6 inf + 30376 26.108 * * [simplify]: Extracting #5: cost 0 inf + 31644 26.124 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 26.124 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 26.125 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 26.125 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 26.125 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 26.125 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 26.125 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 26.125 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 26.125 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 26.125 * * [simplify]: iters left: 3 (3 enodes) 26.129 * * [simplify]: iters left: 2 (9 enodes) 26.130 * * [simplify]: Extracting #0: cost 1 inf + 0 26.130 * * [simplify]: Extracting #1: cost 3 inf + 0 26.130 * * [simplify]: Extracting #2: cost 5 inf + 0 26.130 * * [simplify]: Extracting #3: cost 4 inf + 1 26.130 * * [simplify]: Extracting #4: cost 0 inf + 405 26.130 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 26.130 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 26.130 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 26.130 * [simplify]: Simplifying (sqrt n) 26.130 * * [simplify]: iters left: 1 (2 enodes) 26.131 * * [simplify]: Extracting #0: cost 1 inf + 0 26.131 * * [simplify]: Extracting #1: cost 3 inf + 0 26.131 * * [simplify]: Extracting #2: cost 2 inf + 1 26.131 * * [simplify]: Extracting #3: cost 0 inf + 83 26.131 * [simplify]: Simplified to (sqrt n) 26.131 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 26.131 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 26.131 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 26.131 * * * * [progress]: [ 118 / 127 ] simplifiying candidate # 26.131 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 26.131 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 26.132 * * [simplify]: iters left: 6 (37 enodes) 26.143 * * [simplify]: iters left: 5 (187 enodes) 26.190 * * [simplify]: iters left: 4 (488 enodes) 26.448 * * [simplify]: Extracting #0: cost 1 inf + 0 26.448 * * [simplify]: Extracting #1: cost 57 inf + 0 26.449 * * [simplify]: Extracting #2: cost 294 inf + 0 26.451 * * [simplify]: Extracting #3: cost 524 inf + 199 26.454 * * [simplify]: Extracting #4: cost 512 inf + 6095 26.478 * * [simplify]: Extracting #5: cost 310 inf + 78036 26.562 * * [simplify]: Extracting #6: cost 40 inf + 220622 26.618 * * [simplify]: Extracting #7: cost 0 inf + 244981 26.711 * * [simplify]: Extracting #8: cost 0 inf + 243455 26.816 * * [simplify]: Extracting #9: cost 0 inf + 243454 26.884 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 26.885 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (sqrt k))) 26.885 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 26.885 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 26.885 * * [simplify]: iters left: 6 (15 enodes) 26.890 * * [simplify]: iters left: 5 (65 enodes) 26.904 * * [simplify]: iters left: 4 (123 enodes) 26.957 * * [simplify]: iters left: 3 (361 enodes) 27.121 * * [simplify]: Extracting #0: cost 1 inf + 0 27.121 * * [simplify]: Extracting #1: cost 37 inf + 0 27.122 * * [simplify]: Extracting #2: cost 213 inf + 72 27.125 * * [simplify]: Extracting #3: cost 350 inf + 1716 27.133 * * [simplify]: Extracting #4: cost 221 inf + 30028 27.157 * * [simplify]: Extracting #5: cost 33 inf + 78046 27.186 * * [simplify]: Extracting #6: cost 1 inf + 88785 27.222 * * [simplify]: Extracting #7: cost 0 inf + 88926 27.248 * * [simplify]: Extracting #8: cost 0 inf + 88841 27.263 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 27.263 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 27.263 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 27.263 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 27.263 * * [simplify]: iters left: 6 (16 enodes) 27.269 * * [simplify]: iters left: 5 (67 enodes) 27.288 * * [simplify]: iters left: 4 (134 enodes) 27.343 * * [simplify]: iters left: 3 (407 enodes) 27.549 * * [simplify]: Extracting #0: cost 1 inf + 0 27.549 * * [simplify]: Extracting #1: cost 39 inf + 0 27.550 * * [simplify]: Extracting #2: cost 241 inf + 72 27.553 * * [simplify]: Extracting #3: cost 449 inf + 888 27.564 * * [simplify]: Extracting #4: cost 283 inf + 39678 27.590 * * [simplify]: Extracting #5: cost 24 inf + 116942 27.617 * * [simplify]: Extracting #6: cost 0 inf + 121984 27.651 * * [simplify]: Extracting #7: cost 0 inf + 121983 27.679 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 27.679 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k))) 27.679 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 27.680 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 27.680 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.680 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 27.681 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 27.681 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.681 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 27.681 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 27.681 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.681 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 27.682 * [simplify]: Simplifying (* 2 (* n PI)) 27.682 * * [simplify]: iters left: 4 (5 enodes) 27.685 * * [simplify]: iters left: 3 (19 enodes) 27.691 * * [simplify]: iters left: 2 (27 enodes) 27.699 * * [simplify]: iters left: 1 (32 enodes) 27.706 * * [simplify]: Extracting #0: cost 1 inf + 0 27.707 * * [simplify]: Extracting #1: cost 8 inf + 0 27.707 * * [simplify]: Extracting #2: cost 7 inf + 45 27.707 * * [simplify]: Extracting #3: cost 0 inf + 421 27.707 * [simplify]: Simplified to (* (* PI n) 2) 27.707 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.707 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 27.708 * [simplify]: Simplifying (* 2 (* n PI)) 27.708 * * [simplify]: iters left: 4 (5 enodes) 27.711 * * [simplify]: iters left: 3 (19 enodes) 27.717 * * [simplify]: iters left: 2 (27 enodes) 27.725 * * [simplify]: iters left: 1 (32 enodes) 27.733 * * [simplify]: Extracting #0: cost 1 inf + 0 27.733 * * [simplify]: Extracting #1: cost 8 inf + 0 27.733 * * [simplify]: Extracting #2: cost 7 inf + 45 27.733 * * [simplify]: Extracting #3: cost 0 inf + 421 27.734 * [simplify]: Simplified to (* (* PI n) 2) 27.734 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.734 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 27.734 * [simplify]: Simplifying (* 2 (* n PI)) 27.734 * * [simplify]: iters left: 4 (5 enodes) 27.737 * * [simplify]: iters left: 3 (19 enodes) 27.743 * * [simplify]: iters left: 2 (27 enodes) 27.752 * * [simplify]: iters left: 1 (32 enodes) 27.761 * * [simplify]: Extracting #0: cost 1 inf + 0 27.762 * * [simplify]: Extracting #1: cost 8 inf + 0 27.762 * * [simplify]: Extracting #2: cost 7 inf + 45 27.762 * * [simplify]: Extracting #3: cost 0 inf + 421 27.762 * [simplify]: Simplified to (* (* PI n) 2) 27.762 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.763 * * * [progress]: adding candidates to table 29.094 * * [progress]: iteration 2 / 4 29.094 * * * [progress]: picking best candidate 29.161 * * * * [pick]: Picked # 29.161 * * * [progress]: localizing error 29.214 * * * [progress]: generating rewritten candidates 29.214 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 29.229 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 29.234 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 29.250 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 29.297 * * * [progress]: generating series expansions 29.298 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 29.298 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 29.298 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 29.298 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.298 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.298 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.299 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.299 * [taylor]: Taking taylor expansion of 1/2 in k 29.299 * [backup-simplify]: Simplify 1/2 into 1/2 29.299 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.299 * [taylor]: Taking taylor expansion of 1 in k 29.299 * [backup-simplify]: Simplify 1 into 1 29.299 * [taylor]: Taking taylor expansion of k in k 29.299 * [backup-simplify]: Simplify 0 into 0 29.299 * [backup-simplify]: Simplify 1 into 1 29.299 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.299 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.299 * [taylor]: Taking taylor expansion of 2 in k 29.299 * [backup-simplify]: Simplify 2 into 2 29.299 * [taylor]: Taking taylor expansion of (* n PI) in k 29.299 * [taylor]: Taking taylor expansion of n in k 29.299 * [backup-simplify]: Simplify n into n 29.299 * [taylor]: Taking taylor expansion of PI in k 29.299 * [backup-simplify]: Simplify PI into PI 29.299 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.299 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.299 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.299 * [backup-simplify]: Simplify (- 0) into 0 29.299 * [backup-simplify]: Simplify (+ 1 0) into 1 29.300 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.300 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.300 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.300 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.300 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.300 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.300 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.300 * [taylor]: Taking taylor expansion of 1/2 in n 29.300 * [backup-simplify]: Simplify 1/2 into 1/2 29.300 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.300 * [taylor]: Taking taylor expansion of 1 in n 29.300 * [backup-simplify]: Simplify 1 into 1 29.300 * [taylor]: Taking taylor expansion of k in n 29.300 * [backup-simplify]: Simplify k into k 29.300 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.300 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.300 * [taylor]: Taking taylor expansion of 2 in n 29.300 * [backup-simplify]: Simplify 2 into 2 29.300 * [taylor]: Taking taylor expansion of (* n PI) in n 29.300 * [taylor]: Taking taylor expansion of n in n 29.300 * [backup-simplify]: Simplify 0 into 0 29.300 * [backup-simplify]: Simplify 1 into 1 29.300 * [taylor]: Taking taylor expansion of PI in n 29.300 * [backup-simplify]: Simplify PI into PI 29.301 * [backup-simplify]: Simplify (* 0 PI) into 0 29.301 * [backup-simplify]: Simplify (* 2 0) into 0 29.302 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.303 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.303 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.303 * [backup-simplify]: Simplify (- k) into (- k) 29.304 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.304 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.304 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.305 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.306 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.306 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.306 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.306 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.306 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.306 * [taylor]: Taking taylor expansion of 1/2 in n 29.306 * [backup-simplify]: Simplify 1/2 into 1/2 29.306 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.306 * [taylor]: Taking taylor expansion of 1 in n 29.306 * [backup-simplify]: Simplify 1 into 1 29.306 * [taylor]: Taking taylor expansion of k in n 29.306 * [backup-simplify]: Simplify k into k 29.306 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.306 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.306 * [taylor]: Taking taylor expansion of 2 in n 29.306 * [backup-simplify]: Simplify 2 into 2 29.306 * [taylor]: Taking taylor expansion of (* n PI) in n 29.306 * [taylor]: Taking taylor expansion of n in n 29.306 * [backup-simplify]: Simplify 0 into 0 29.306 * [backup-simplify]: Simplify 1 into 1 29.306 * [taylor]: Taking taylor expansion of PI in n 29.306 * [backup-simplify]: Simplify PI into PI 29.306 * [backup-simplify]: Simplify (* 0 PI) into 0 29.307 * [backup-simplify]: Simplify (* 2 0) into 0 29.307 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.308 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.309 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.309 * [backup-simplify]: Simplify (- k) into (- k) 29.309 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.309 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.310 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.311 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.311 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.312 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 29.312 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 29.312 * [taylor]: Taking taylor expansion of 1/2 in k 29.312 * [backup-simplify]: Simplify 1/2 into 1/2 29.312 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 29.312 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.312 * [taylor]: Taking taylor expansion of 1 in k 29.312 * [backup-simplify]: Simplify 1 into 1 29.312 * [taylor]: Taking taylor expansion of k in k 29.312 * [backup-simplify]: Simplify 0 into 0 29.312 * [backup-simplify]: Simplify 1 into 1 29.312 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 29.312 * [taylor]: Taking taylor expansion of (log n) in k 29.312 * [taylor]: Taking taylor expansion of n in k 29.312 * [backup-simplify]: Simplify n into n 29.312 * [backup-simplify]: Simplify (log n) into (log n) 29.312 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.312 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.312 * [taylor]: Taking taylor expansion of 2 in k 29.312 * [backup-simplify]: Simplify 2 into 2 29.312 * [taylor]: Taking taylor expansion of PI in k 29.312 * [backup-simplify]: Simplify PI into PI 29.312 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.313 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.313 * [backup-simplify]: Simplify (- 0) into 0 29.314 * [backup-simplify]: Simplify (+ 1 0) into 1 29.315 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.316 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.317 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 29.318 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.319 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.323 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.323 * [backup-simplify]: Simplify (- 0) into 0 29.324 * [backup-simplify]: Simplify (+ 0 0) into 0 29.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 29.326 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.326 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.328 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.328 * [taylor]: Taking taylor expansion of 0 in k 29.328 * [backup-simplify]: Simplify 0 into 0 29.328 * [backup-simplify]: Simplify 0 into 0 29.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.329 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.330 * [backup-simplify]: Simplify (+ 0 0) into 0 29.330 * [backup-simplify]: Simplify (- 1) into -1 29.331 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.331 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 29.333 * [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))))) 29.334 * [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))))))) 29.336 * [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))))))) 29.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.340 * [backup-simplify]: Simplify (- 0) into 0 29.340 * [backup-simplify]: Simplify (+ 0 0) into 0 29.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 29.341 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.342 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.343 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.343 * [taylor]: Taking taylor expansion of 0 in k 29.343 * [backup-simplify]: Simplify 0 into 0 29.343 * [backup-simplify]: Simplify 0 into 0 29.343 * [backup-simplify]: Simplify 0 into 0 29.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.347 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.347 * [backup-simplify]: Simplify (+ 0 0) into 0 29.347 * [backup-simplify]: Simplify (- 0) into 0 29.348 * [backup-simplify]: Simplify (+ 0 0) into 0 29.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.353 * [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))))) 29.356 * [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))))) 29.361 * [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))))) 29.361 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 29.361 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 29.361 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 29.361 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 29.362 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 29.362 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.362 * [taylor]: Taking taylor expansion of 1/2 in k 29.362 * [backup-simplify]: Simplify 1/2 into 1/2 29.362 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.362 * [taylor]: Taking taylor expansion of 1 in k 29.362 * [backup-simplify]: Simplify 1 into 1 29.362 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.362 * [taylor]: Taking taylor expansion of k in k 29.362 * [backup-simplify]: Simplify 0 into 0 29.362 * [backup-simplify]: Simplify 1 into 1 29.365 * [backup-simplify]: Simplify (/ 1 1) into 1 29.366 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.366 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.366 * [taylor]: Taking taylor expansion of 2 in k 29.366 * [backup-simplify]: Simplify 2 into 2 29.366 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.366 * [taylor]: Taking taylor expansion of PI in k 29.366 * [backup-simplify]: Simplify PI into PI 29.366 * [taylor]: Taking taylor expansion of n in k 29.366 * [backup-simplify]: Simplify n into n 29.366 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.366 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.366 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.367 * [backup-simplify]: Simplify (- 1) into -1 29.367 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.368 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.368 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 29.368 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 29.368 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.368 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.368 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.368 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.368 * [taylor]: Taking taylor expansion of 1/2 in n 29.368 * [backup-simplify]: Simplify 1/2 into 1/2 29.368 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.368 * [taylor]: Taking taylor expansion of 1 in n 29.368 * [backup-simplify]: Simplify 1 into 1 29.368 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.368 * [taylor]: Taking taylor expansion of k in n 29.368 * [backup-simplify]: Simplify k into k 29.368 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.368 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.368 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.368 * [taylor]: Taking taylor expansion of 2 in n 29.368 * [backup-simplify]: Simplify 2 into 2 29.368 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.368 * [taylor]: Taking taylor expansion of PI in n 29.369 * [backup-simplify]: Simplify PI into PI 29.369 * [taylor]: Taking taylor expansion of n in n 29.369 * [backup-simplify]: Simplify 0 into 0 29.369 * [backup-simplify]: Simplify 1 into 1 29.369 * [backup-simplify]: Simplify (/ PI 1) into PI 29.370 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.370 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.371 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.371 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.371 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.372 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.373 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.374 * [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))))) 29.374 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.374 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.374 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.374 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.374 * [taylor]: Taking taylor expansion of 1/2 in n 29.374 * [backup-simplify]: Simplify 1/2 into 1/2 29.374 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.374 * [taylor]: Taking taylor expansion of 1 in n 29.375 * [backup-simplify]: Simplify 1 into 1 29.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.375 * [taylor]: Taking taylor expansion of k in n 29.375 * [backup-simplify]: Simplify k into k 29.375 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.375 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.375 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.375 * [taylor]: Taking taylor expansion of 2 in n 29.375 * [backup-simplify]: Simplify 2 into 2 29.375 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.375 * [taylor]: Taking taylor expansion of PI in n 29.375 * [backup-simplify]: Simplify PI into PI 29.375 * [taylor]: Taking taylor expansion of n in n 29.375 * [backup-simplify]: Simplify 0 into 0 29.375 * [backup-simplify]: Simplify 1 into 1 29.375 * [backup-simplify]: Simplify (/ PI 1) into PI 29.376 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.377 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.377 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.377 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.377 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.379 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.380 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.381 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.381 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 29.381 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 29.381 * [taylor]: Taking taylor expansion of 1/2 in k 29.381 * [backup-simplify]: Simplify 1/2 into 1/2 29.381 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 29.381 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.381 * [taylor]: Taking taylor expansion of 1 in k 29.381 * [backup-simplify]: Simplify 1 into 1 29.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.381 * [taylor]: Taking taylor expansion of k in k 29.381 * [backup-simplify]: Simplify 0 into 0 29.381 * [backup-simplify]: Simplify 1 into 1 29.382 * [backup-simplify]: Simplify (/ 1 1) into 1 29.382 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 29.382 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.382 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.382 * [taylor]: Taking taylor expansion of 2 in k 29.382 * [backup-simplify]: Simplify 2 into 2 29.382 * [taylor]: Taking taylor expansion of PI in k 29.382 * [backup-simplify]: Simplify PI into PI 29.382 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.383 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.383 * [taylor]: Taking taylor expansion of (log n) in k 29.383 * [taylor]: Taking taylor expansion of n in k 29.383 * [backup-simplify]: Simplify n into n 29.383 * [backup-simplify]: Simplify (log n) into (log n) 29.383 * [backup-simplify]: Simplify (- 1) into -1 29.383 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.383 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.384 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 29.384 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 29.385 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 29.386 * [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))))) 29.386 * [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))))) 29.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.387 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.389 * [backup-simplify]: Simplify (- 0) into 0 29.389 * [backup-simplify]: Simplify (+ 0 0) into 0 29.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 29.390 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.391 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.392 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.392 * [taylor]: Taking taylor expansion of 0 in k 29.392 * [backup-simplify]: Simplify 0 into 0 29.392 * [backup-simplify]: Simplify 0 into 0 29.392 * [backup-simplify]: Simplify 0 into 0 29.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.396 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.397 * [backup-simplify]: Simplify (- 0) into 0 29.397 * [backup-simplify]: Simplify (+ 0 0) into 0 29.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 29.398 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.399 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 29.400 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.400 * [taylor]: Taking taylor expansion of 0 in k 29.400 * [backup-simplify]: Simplify 0 into 0 29.401 * [backup-simplify]: Simplify 0 into 0 29.401 * [backup-simplify]: Simplify 0 into 0 29.401 * [backup-simplify]: Simplify 0 into 0 29.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.402 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.408 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.409 * [backup-simplify]: Simplify (- 0) into 0 29.409 * [backup-simplify]: Simplify (+ 0 0) into 0 29.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 29.412 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.413 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 29.416 * [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 29.416 * [taylor]: Taking taylor expansion of 0 in k 29.416 * [backup-simplify]: Simplify 0 into 0 29.416 * [backup-simplify]: Simplify 0 into 0 29.417 * [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)))))) 29.418 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 29.418 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 29.418 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 29.418 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 29.418 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 29.418 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.418 * [taylor]: Taking taylor expansion of 1/2 in k 29.418 * [backup-simplify]: Simplify 1/2 into 1/2 29.418 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.418 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.418 * [taylor]: Taking taylor expansion of k in k 29.418 * [backup-simplify]: Simplify 0 into 0 29.418 * [backup-simplify]: Simplify 1 into 1 29.418 * [backup-simplify]: Simplify (/ 1 1) into 1 29.418 * [taylor]: Taking taylor expansion of 1 in k 29.418 * [backup-simplify]: Simplify 1 into 1 29.418 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.418 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.419 * [taylor]: Taking taylor expansion of -2 in k 29.419 * [backup-simplify]: Simplify -2 into -2 29.419 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.419 * [taylor]: Taking taylor expansion of PI in k 29.419 * [backup-simplify]: Simplify PI into PI 29.419 * [taylor]: Taking taylor expansion of n in k 29.419 * [backup-simplify]: Simplify n into n 29.419 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.419 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.419 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.419 * [backup-simplify]: Simplify (+ 1 0) into 1 29.419 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.419 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 29.419 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 29.419 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.419 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.420 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.420 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.420 * [taylor]: Taking taylor expansion of 1/2 in n 29.420 * [backup-simplify]: Simplify 1/2 into 1/2 29.420 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.420 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.420 * [taylor]: Taking taylor expansion of k in n 29.420 * [backup-simplify]: Simplify k into k 29.420 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.420 * [taylor]: Taking taylor expansion of 1 in n 29.420 * [backup-simplify]: Simplify 1 into 1 29.420 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.420 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.420 * [taylor]: Taking taylor expansion of -2 in n 29.420 * [backup-simplify]: Simplify -2 into -2 29.420 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.420 * [taylor]: Taking taylor expansion of PI in n 29.420 * [backup-simplify]: Simplify PI into PI 29.420 * [taylor]: Taking taylor expansion of n in n 29.420 * [backup-simplify]: Simplify 0 into 0 29.420 * [backup-simplify]: Simplify 1 into 1 29.420 * [backup-simplify]: Simplify (/ PI 1) into PI 29.420 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.421 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.421 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.421 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.422 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.423 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.423 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.423 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.423 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.423 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.423 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.423 * [taylor]: Taking taylor expansion of 1/2 in n 29.423 * [backup-simplify]: Simplify 1/2 into 1/2 29.423 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.423 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.423 * [taylor]: Taking taylor expansion of k in n 29.423 * [backup-simplify]: Simplify k into k 29.424 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.424 * [taylor]: Taking taylor expansion of 1 in n 29.424 * [backup-simplify]: Simplify 1 into 1 29.424 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.424 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.424 * [taylor]: Taking taylor expansion of -2 in n 29.424 * [backup-simplify]: Simplify -2 into -2 29.424 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.424 * [taylor]: Taking taylor expansion of PI in n 29.424 * [backup-simplify]: Simplify PI into PI 29.424 * [taylor]: Taking taylor expansion of n in n 29.424 * [backup-simplify]: Simplify 0 into 0 29.424 * [backup-simplify]: Simplify 1 into 1 29.424 * [backup-simplify]: Simplify (/ PI 1) into PI 29.424 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.425 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.425 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.425 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.426 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.426 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.427 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.427 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 29.427 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 29.427 * [taylor]: Taking taylor expansion of 1/2 in k 29.427 * [backup-simplify]: Simplify 1/2 into 1/2 29.427 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 29.427 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.427 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.427 * [taylor]: Taking taylor expansion of k in k 29.427 * [backup-simplify]: Simplify 0 into 0 29.427 * [backup-simplify]: Simplify 1 into 1 29.428 * [backup-simplify]: Simplify (/ 1 1) into 1 29.428 * [taylor]: Taking taylor expansion of 1 in k 29.428 * [backup-simplify]: Simplify 1 into 1 29.428 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 29.428 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 29.428 * [taylor]: Taking taylor expansion of (* -2 PI) in k 29.428 * [taylor]: Taking taylor expansion of -2 in k 29.428 * [backup-simplify]: Simplify -2 into -2 29.428 * [taylor]: Taking taylor expansion of PI in k 29.428 * [backup-simplify]: Simplify PI into PI 29.428 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.429 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.429 * [taylor]: Taking taylor expansion of (log n) in k 29.429 * [taylor]: Taking taylor expansion of n in k 29.429 * [backup-simplify]: Simplify n into n 29.429 * [backup-simplify]: Simplify (log n) into (log n) 29.429 * [backup-simplify]: Simplify (+ 1 0) into 1 29.429 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.430 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 29.430 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 29.431 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 29.432 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.432 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.433 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.435 * [backup-simplify]: Simplify (+ 0 0) into 0 29.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 29.436 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.436 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 29.437 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.437 * [taylor]: Taking taylor expansion of 0 in k 29.437 * [backup-simplify]: Simplify 0 into 0 29.438 * [backup-simplify]: Simplify 0 into 0 29.438 * [backup-simplify]: Simplify 0 into 0 29.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.439 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.440 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 29.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.441 * [backup-simplify]: Simplify (+ 0 0) into 0 29.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 29.442 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.443 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 29.445 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.445 * [taylor]: Taking taylor expansion of 0 in k 29.445 * [backup-simplify]: Simplify 0 into 0 29.445 * [backup-simplify]: Simplify 0 into 0 29.445 * [backup-simplify]: Simplify 0 into 0 29.445 * [backup-simplify]: Simplify 0 into 0 29.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.446 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.449 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 29.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.450 * [backup-simplify]: Simplify (+ 0 0) into 0 29.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 29.452 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.454 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 29.457 * [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 29.457 * [taylor]: Taking taylor expansion of 0 in k 29.457 * [backup-simplify]: Simplify 0 into 0 29.457 * [backup-simplify]: Simplify 0 into 0 29.458 * [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)))))) 29.459 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 29.459 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 29.459 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 29.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.459 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.459 * [taylor]: Taking taylor expansion of k in k 29.459 * [backup-simplify]: Simplify 0 into 0 29.459 * [backup-simplify]: Simplify 1 into 1 29.459 * [backup-simplify]: Simplify (/ 1 1) into 1 29.460 * [backup-simplify]: Simplify (sqrt 0) into 0 29.461 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.461 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.461 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.461 * [taylor]: Taking taylor expansion of k in k 29.461 * [backup-simplify]: Simplify 0 into 0 29.461 * [backup-simplify]: Simplify 1 into 1 29.461 * [backup-simplify]: Simplify (/ 1 1) into 1 29.462 * [backup-simplify]: Simplify (sqrt 0) into 0 29.463 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.463 * [backup-simplify]: Simplify 0 into 0 29.463 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.467 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.467 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.472 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.472 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 29.473 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 29.473 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 29.473 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.473 * [taylor]: Taking taylor expansion of k in k 29.473 * [backup-simplify]: Simplify 0 into 0 29.473 * [backup-simplify]: Simplify 1 into 1 29.478 * [backup-simplify]: Simplify (sqrt 0) into 0 29.480 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.480 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.480 * [taylor]: Taking taylor expansion of k in k 29.480 * [backup-simplify]: Simplify 0 into 0 29.480 * [backup-simplify]: Simplify 1 into 1 29.481 * [backup-simplify]: Simplify (sqrt 0) into 0 29.482 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.482 * [backup-simplify]: Simplify 0 into 0 29.482 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.486 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.486 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.490 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.490 * [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)))))))) 29.490 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 29.490 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 29.490 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 29.490 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.490 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.490 * [taylor]: Taking taylor expansion of -1 in k 29.490 * [backup-simplify]: Simplify -1 into -1 29.490 * [taylor]: Taking taylor expansion of k in k 29.490 * [backup-simplify]: Simplify 0 into 0 29.491 * [backup-simplify]: Simplify 1 into 1 29.491 * [backup-simplify]: Simplify (/ -1 1) into -1 29.491 * [backup-simplify]: Simplify (sqrt 0) into 0 29.493 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.493 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 29.493 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 29.493 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.493 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.493 * [taylor]: Taking taylor expansion of -1 in k 29.493 * [backup-simplify]: Simplify -1 into -1 29.493 * [taylor]: Taking taylor expansion of k in k 29.493 * [backup-simplify]: Simplify 0 into 0 29.493 * [backup-simplify]: Simplify 1 into 1 29.494 * [backup-simplify]: Simplify (/ -1 1) into -1 29.494 * [backup-simplify]: Simplify (sqrt 0) into 0 29.496 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.496 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 29.496 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.500 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.502 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 29.502 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.511 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 29.511 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.512 * [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))))) 29.512 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 29.512 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 29.512 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 29.512 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.512 * [taylor]: Taking taylor expansion of 2 in n 29.512 * [backup-simplify]: Simplify 2 into 2 29.512 * [taylor]: Taking taylor expansion of (* n PI) in n 29.512 * [taylor]: Taking taylor expansion of n in n 29.512 * [backup-simplify]: Simplify 0 into 0 29.512 * [backup-simplify]: Simplify 1 into 1 29.512 * [taylor]: Taking taylor expansion of PI in n 29.512 * [backup-simplify]: Simplify PI into PI 29.512 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.512 * [taylor]: Taking taylor expansion of 2 in n 29.512 * [backup-simplify]: Simplify 2 into 2 29.512 * [taylor]: Taking taylor expansion of (* n PI) in n 29.512 * [taylor]: Taking taylor expansion of n in n 29.512 * [backup-simplify]: Simplify 0 into 0 29.512 * [backup-simplify]: Simplify 1 into 1 29.512 * [taylor]: Taking taylor expansion of PI in n 29.512 * [backup-simplify]: Simplify PI into PI 29.513 * [backup-simplify]: Simplify (* 0 PI) into 0 29.513 * [backup-simplify]: Simplify (* 2 0) into 0 29.513 * [backup-simplify]: Simplify 0 into 0 29.514 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.515 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.515 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.516 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.516 * [backup-simplify]: Simplify 0 into 0 29.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.518 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.518 * [backup-simplify]: Simplify 0 into 0 29.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.519 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 29.519 * [backup-simplify]: Simplify 0 into 0 29.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.521 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 29.521 * [backup-simplify]: Simplify 0 into 0 29.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.523 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 29.523 * [backup-simplify]: Simplify 0 into 0 29.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 29.525 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 29.525 * [backup-simplify]: Simplify 0 into 0 29.525 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 29.526 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 29.526 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 29.526 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.526 * [taylor]: Taking taylor expansion of 2 in n 29.526 * [backup-simplify]: Simplify 2 into 2 29.526 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.526 * [taylor]: Taking taylor expansion of PI in n 29.526 * [backup-simplify]: Simplify PI into PI 29.526 * [taylor]: Taking taylor expansion of n in n 29.526 * [backup-simplify]: Simplify 0 into 0 29.526 * [backup-simplify]: Simplify 1 into 1 29.526 * [backup-simplify]: Simplify (/ PI 1) into PI 29.526 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.526 * [taylor]: Taking taylor expansion of 2 in n 29.526 * [backup-simplify]: Simplify 2 into 2 29.526 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.526 * [taylor]: Taking taylor expansion of PI in n 29.526 * [backup-simplify]: Simplify PI into PI 29.526 * [taylor]: Taking taylor expansion of n in n 29.526 * [backup-simplify]: Simplify 0 into 0 29.526 * [backup-simplify]: Simplify 1 into 1 29.527 * [backup-simplify]: Simplify (/ PI 1) into PI 29.527 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.527 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.528 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.528 * [backup-simplify]: Simplify 0 into 0 29.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.529 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.529 * [backup-simplify]: Simplify 0 into 0 29.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.530 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.531 * [backup-simplify]: Simplify 0 into 0 29.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.532 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.532 * [backup-simplify]: Simplify 0 into 0 29.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.533 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.533 * [backup-simplify]: Simplify 0 into 0 29.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.535 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.535 * [backup-simplify]: Simplify 0 into 0 29.535 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 29.536 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 29.536 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 29.536 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.536 * [taylor]: Taking taylor expansion of -2 in n 29.536 * [backup-simplify]: Simplify -2 into -2 29.536 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.536 * [taylor]: Taking taylor expansion of PI in n 29.536 * [backup-simplify]: Simplify PI into PI 29.536 * [taylor]: Taking taylor expansion of n in n 29.536 * [backup-simplify]: Simplify 0 into 0 29.536 * [backup-simplify]: Simplify 1 into 1 29.536 * [backup-simplify]: Simplify (/ PI 1) into PI 29.536 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.536 * [taylor]: Taking taylor expansion of -2 in n 29.536 * [backup-simplify]: Simplify -2 into -2 29.536 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.536 * [taylor]: Taking taylor expansion of PI in n 29.536 * [backup-simplify]: Simplify PI into PI 29.536 * [taylor]: Taking taylor expansion of n in n 29.536 * [backup-simplify]: Simplify 0 into 0 29.536 * [backup-simplify]: Simplify 1 into 1 29.537 * [backup-simplify]: Simplify (/ PI 1) into PI 29.537 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.537 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.539 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.539 * [backup-simplify]: Simplify 0 into 0 29.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.541 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.541 * [backup-simplify]: Simplify 0 into 0 29.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.544 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.544 * [backup-simplify]: Simplify 0 into 0 29.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.546 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.546 * [backup-simplify]: Simplify 0 into 0 29.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.547 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.547 * [backup-simplify]: Simplify 0 into 0 29.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.549 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.549 * [backup-simplify]: Simplify 0 into 0 29.549 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 29.549 * * * * [progress]: [ 4 / 4 ] generating series at (2) 29.550 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 29.550 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 29.550 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 29.550 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.550 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.550 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.550 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.550 * [taylor]: Taking taylor expansion of 1/2 in n 29.550 * [backup-simplify]: Simplify 1/2 into 1/2 29.550 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.550 * [taylor]: Taking taylor expansion of 1 in n 29.550 * [backup-simplify]: Simplify 1 into 1 29.550 * [taylor]: Taking taylor expansion of k in n 29.550 * [backup-simplify]: Simplify k into k 29.550 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.550 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.550 * [taylor]: Taking taylor expansion of 2 in n 29.550 * [backup-simplify]: Simplify 2 into 2 29.550 * [taylor]: Taking taylor expansion of (* n PI) in n 29.550 * [taylor]: Taking taylor expansion of n in n 29.550 * [backup-simplify]: Simplify 0 into 0 29.550 * [backup-simplify]: Simplify 1 into 1 29.550 * [taylor]: Taking taylor expansion of PI in n 29.550 * [backup-simplify]: Simplify PI into PI 29.550 * [backup-simplify]: Simplify (* 0 PI) into 0 29.551 * [backup-simplify]: Simplify (* 2 0) into 0 29.552 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.553 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.553 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.553 * [backup-simplify]: Simplify (- k) into (- k) 29.553 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.553 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.554 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.555 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.555 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.555 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.555 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.555 * [taylor]: Taking taylor expansion of k in n 29.555 * [backup-simplify]: Simplify k into k 29.555 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.556 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.556 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 29.556 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.556 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.556 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.556 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.556 * [taylor]: Taking taylor expansion of 1/2 in k 29.556 * [backup-simplify]: Simplify 1/2 into 1/2 29.556 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.556 * [taylor]: Taking taylor expansion of 1 in k 29.556 * [backup-simplify]: Simplify 1 into 1 29.556 * [taylor]: Taking taylor expansion of k in k 29.556 * [backup-simplify]: Simplify 0 into 0 29.556 * [backup-simplify]: Simplify 1 into 1 29.556 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.556 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.556 * [taylor]: Taking taylor expansion of 2 in k 29.556 * [backup-simplify]: Simplify 2 into 2 29.556 * [taylor]: Taking taylor expansion of (* n PI) in k 29.556 * [taylor]: Taking taylor expansion of n in k 29.556 * [backup-simplify]: Simplify n into n 29.556 * [taylor]: Taking taylor expansion of PI in k 29.556 * [backup-simplify]: Simplify PI into PI 29.556 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.556 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.556 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.556 * [backup-simplify]: Simplify (- 0) into 0 29.557 * [backup-simplify]: Simplify (+ 1 0) into 1 29.557 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.557 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.557 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.557 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.557 * [taylor]: Taking taylor expansion of k in k 29.557 * [backup-simplify]: Simplify 0 into 0 29.557 * [backup-simplify]: Simplify 1 into 1 29.558 * [backup-simplify]: Simplify (/ 1 1) into 1 29.558 * [backup-simplify]: Simplify (sqrt 0) into 0 29.559 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.559 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 29.559 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.559 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.559 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.559 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.559 * [taylor]: Taking taylor expansion of 1/2 in k 29.559 * [backup-simplify]: Simplify 1/2 into 1/2 29.559 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.559 * [taylor]: Taking taylor expansion of 1 in k 29.559 * [backup-simplify]: Simplify 1 into 1 29.559 * [taylor]: Taking taylor expansion of k in k 29.559 * [backup-simplify]: Simplify 0 into 0 29.559 * [backup-simplify]: Simplify 1 into 1 29.559 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.559 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.559 * [taylor]: Taking taylor expansion of 2 in k 29.559 * [backup-simplify]: Simplify 2 into 2 29.559 * [taylor]: Taking taylor expansion of (* n PI) in k 29.559 * [taylor]: Taking taylor expansion of n in k 29.559 * [backup-simplify]: Simplify n into n 29.559 * [taylor]: Taking taylor expansion of PI in k 29.559 * [backup-simplify]: Simplify PI into PI 29.559 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.559 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.559 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.560 * [backup-simplify]: Simplify (- 0) into 0 29.560 * [backup-simplify]: Simplify (+ 1 0) into 1 29.560 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.560 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.560 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.560 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.560 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.560 * [taylor]: Taking taylor expansion of k in k 29.560 * [backup-simplify]: Simplify 0 into 0 29.560 * [backup-simplify]: Simplify 1 into 1 29.560 * [backup-simplify]: Simplify (/ 1 1) into 1 29.561 * [backup-simplify]: Simplify (sqrt 0) into 0 29.561 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.562 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 29.562 * [taylor]: Taking taylor expansion of 0 in n 29.562 * [backup-simplify]: Simplify 0 into 0 29.562 * [backup-simplify]: Simplify 0 into 0 29.562 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 29.562 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 29.563 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 29.563 * [backup-simplify]: Simplify (- 1) into -1 29.563 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.564 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 29.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 29.564 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 29.565 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 29.565 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 29.565 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 29.565 * [taylor]: Taking taylor expansion of +nan.0 in n 29.565 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.565 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 29.565 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.565 * [taylor]: Taking taylor expansion of 2 in n 29.565 * [backup-simplify]: Simplify 2 into 2 29.565 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.565 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.565 * [taylor]: Taking taylor expansion of (* n PI) in n 29.565 * [taylor]: Taking taylor expansion of n in n 29.565 * [backup-simplify]: Simplify 0 into 0 29.565 * [backup-simplify]: Simplify 1 into 1 29.565 * [taylor]: Taking taylor expansion of PI in n 29.565 * [backup-simplify]: Simplify PI into PI 29.566 * [backup-simplify]: Simplify (* 0 PI) into 0 29.567 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.567 * [backup-simplify]: Simplify (sqrt 0) into 0 29.568 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.568 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 29.568 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.568 * [backup-simplify]: Simplify (- 0) into 0 29.568 * [backup-simplify]: Simplify 0 into 0 29.569 * [backup-simplify]: Simplify 0 into 0 29.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.571 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.571 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 29.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 29.573 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 29.573 * [backup-simplify]: Simplify (- 0) into 0 29.573 * [backup-simplify]: Simplify (+ 0 0) into 0 29.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 29.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 29.575 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 29.576 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 29.576 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 29.576 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 29.576 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 29.576 * [taylor]: Taking taylor expansion of +nan.0 in n 29.576 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.576 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 29.576 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 29.576 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.576 * [taylor]: Taking taylor expansion of 2 in n 29.576 * [backup-simplify]: Simplify 2 into 2 29.576 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.577 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.577 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.577 * [taylor]: Taking taylor expansion of 2 in n 29.577 * [backup-simplify]: Simplify 2 into 2 29.577 * [taylor]: Taking taylor expansion of (* n PI) in n 29.577 * [taylor]: Taking taylor expansion of n in n 29.577 * [backup-simplify]: Simplify 0 into 0 29.577 * [backup-simplify]: Simplify 1 into 1 29.577 * [taylor]: Taking taylor expansion of PI in n 29.577 * [backup-simplify]: Simplify PI into PI 29.577 * [backup-simplify]: Simplify (* 0 PI) into 0 29.577 * [backup-simplify]: Simplify (* 2 0) into 0 29.578 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.580 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.587 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.587 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.587 * [taylor]: Taking taylor expansion of (* n PI) in n 29.587 * [taylor]: Taking taylor expansion of n in n 29.587 * [backup-simplify]: Simplify 0 into 0 29.587 * [backup-simplify]: Simplify 1 into 1 29.587 * [taylor]: Taking taylor expansion of PI in n 29.587 * [backup-simplify]: Simplify PI into PI 29.588 * [backup-simplify]: Simplify (* 0 PI) into 0 29.590 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.590 * [backup-simplify]: Simplify (sqrt 0) into 0 29.591 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.591 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 29.591 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 29.591 * [taylor]: Taking taylor expansion of +nan.0 in n 29.592 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.592 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 29.592 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.592 * [taylor]: Taking taylor expansion of 2 in n 29.592 * [backup-simplify]: Simplify 2 into 2 29.592 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.593 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.593 * [taylor]: Taking taylor expansion of (* n PI) in n 29.593 * [taylor]: Taking taylor expansion of n in n 29.593 * [backup-simplify]: Simplify 0 into 0 29.593 * [backup-simplify]: Simplify 1 into 1 29.593 * [taylor]: Taking taylor expansion of PI in n 29.593 * [backup-simplify]: Simplify PI into PI 29.593 * [backup-simplify]: Simplify (* 0 PI) into 0 29.595 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.595 * [backup-simplify]: Simplify (sqrt 0) into 0 29.597 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.598 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.599 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 29.601 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 29.601 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.602 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 29.602 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.602 * [backup-simplify]: Simplify (- 0) into 0 29.602 * [backup-simplify]: Simplify (+ 0 0) into 0 29.603 * [backup-simplify]: Simplify (- 0) into 0 29.603 * [backup-simplify]: Simplify 0 into 0 29.604 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 29.608 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 29.610 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 29.611 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 29.611 * [backup-simplify]: Simplify 0 into 0 29.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.615 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.615 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 29.617 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 29.617 * [backup-simplify]: Simplify (- 0) into 0 29.618 * [backup-simplify]: Simplify (+ 0 0) into 0 29.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 29.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 29.620 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 29.621 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 29.621 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 29.621 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 29.621 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 29.621 * [taylor]: Taking taylor expansion of +nan.0 in n 29.621 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.621 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 29.621 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 29.621 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.621 * [taylor]: Taking taylor expansion of 2 in n 29.621 * [backup-simplify]: Simplify 2 into 2 29.621 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.622 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.622 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.622 * [taylor]: Taking taylor expansion of 2 in n 29.622 * [backup-simplify]: Simplify 2 into 2 29.622 * [taylor]: Taking taylor expansion of (* n PI) in n 29.622 * [taylor]: Taking taylor expansion of n in n 29.622 * [backup-simplify]: Simplify 0 into 0 29.622 * [backup-simplify]: Simplify 1 into 1 29.622 * [taylor]: Taking taylor expansion of PI in n 29.622 * [backup-simplify]: Simplify PI into PI 29.622 * [backup-simplify]: Simplify (* 0 PI) into 0 29.622 * [backup-simplify]: Simplify (* 2 0) into 0 29.623 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.624 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.625 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.625 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.625 * [taylor]: Taking taylor expansion of (* n PI) in n 29.625 * [taylor]: Taking taylor expansion of n in n 29.625 * [backup-simplify]: Simplify 0 into 0 29.625 * [backup-simplify]: Simplify 1 into 1 29.625 * [taylor]: Taking taylor expansion of PI in n 29.625 * [backup-simplify]: Simplify PI into PI 29.625 * [backup-simplify]: Simplify (* 0 PI) into 0 29.626 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.626 * [backup-simplify]: Simplify (sqrt 0) into 0 29.627 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.627 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 29.627 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 29.627 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 29.627 * [taylor]: Taking taylor expansion of +nan.0 in n 29.627 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.627 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 29.627 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.627 * [taylor]: Taking taylor expansion of 2 in n 29.627 * [backup-simplify]: Simplify 2 into 2 29.627 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.628 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.628 * [taylor]: Taking taylor expansion of (* n PI) in n 29.628 * [taylor]: Taking taylor expansion of n in n 29.628 * [backup-simplify]: Simplify 0 into 0 29.628 * [backup-simplify]: Simplify 1 into 1 29.628 * [taylor]: Taking taylor expansion of PI in n 29.628 * [backup-simplify]: Simplify PI into PI 29.628 * [backup-simplify]: Simplify (* 0 PI) into 0 29.629 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.629 * [backup-simplify]: Simplify (sqrt 0) into 0 29.630 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.630 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 29.630 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 29.630 * [taylor]: Taking taylor expansion of +nan.0 in n 29.630 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.630 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 29.630 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 29.630 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.630 * [taylor]: Taking taylor expansion of 2 in n 29.631 * [backup-simplify]: Simplify 2 into 2 29.631 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.632 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 29.632 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.632 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.632 * [taylor]: Taking taylor expansion of 2 in n 29.632 * [backup-simplify]: Simplify 2 into 2 29.632 * [taylor]: Taking taylor expansion of (* n PI) in n 29.632 * [taylor]: Taking taylor expansion of n in n 29.632 * [backup-simplify]: Simplify 0 into 0 29.632 * [backup-simplify]: Simplify 1 into 1 29.632 * [taylor]: Taking taylor expansion of PI in n 29.632 * [backup-simplify]: Simplify PI into PI 29.632 * [backup-simplify]: Simplify (* 0 PI) into 0 29.633 * [backup-simplify]: Simplify (* 2 0) into 0 29.634 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.636 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.637 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.638 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.638 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.639 * [taylor]: Taking taylor expansion of (* n PI) in n 29.639 * [taylor]: Taking taylor expansion of n in n 29.639 * [backup-simplify]: Simplify 0 into 0 29.639 * [backup-simplify]: Simplify 1 into 1 29.639 * [taylor]: Taking taylor expansion of PI in n 29.639 * [backup-simplify]: Simplify PI into PI 29.639 * [backup-simplify]: Simplify (* 0 PI) into 0 29.641 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.641 * [backup-simplify]: Simplify (sqrt 0) into 0 29.643 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.644 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.646 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 29.647 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 29.647 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.648 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 29.648 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.650 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.651 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.653 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 29.654 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 29.656 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 29.656 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.657 * [backup-simplify]: Simplify (- 0) into 0 29.657 * [backup-simplify]: Simplify (+ 0 0) into 0 29.658 * [backup-simplify]: Simplify (- 0) into 0 29.658 * [backup-simplify]: Simplify (+ 0 0) into 0 29.658 * [backup-simplify]: Simplify (- 0) into 0 29.658 * [backup-simplify]: Simplify 0 into 0 29.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.660 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.663 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.665 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.667 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 29.674 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 29.677 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 29.682 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 29.685 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 29.690 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 29.695 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 29.703 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 29.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.706 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 29.707 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 29.710 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 29.714 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 29.717 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 29.720 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 29.732 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 29.732 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 29.732 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 29.732 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 29.732 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.732 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.732 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.732 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.732 * [taylor]: Taking taylor expansion of 1/2 in n 29.732 * [backup-simplify]: Simplify 1/2 into 1/2 29.732 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.732 * [taylor]: Taking taylor expansion of 1 in n 29.732 * [backup-simplify]: Simplify 1 into 1 29.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.732 * [taylor]: Taking taylor expansion of k in n 29.732 * [backup-simplify]: Simplify k into k 29.732 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.732 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.732 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.732 * [taylor]: Taking taylor expansion of 2 in n 29.732 * [backup-simplify]: Simplify 2 into 2 29.732 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.732 * [taylor]: Taking taylor expansion of PI in n 29.732 * [backup-simplify]: Simplify PI into PI 29.732 * [taylor]: Taking taylor expansion of n in n 29.732 * [backup-simplify]: Simplify 0 into 0 29.732 * [backup-simplify]: Simplify 1 into 1 29.733 * [backup-simplify]: Simplify (/ PI 1) into PI 29.733 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.734 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.734 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.734 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.734 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.735 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.735 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.736 * [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))))) 29.736 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.736 * [taylor]: Taking taylor expansion of k in n 29.736 * [backup-simplify]: Simplify k into k 29.736 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.736 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 29.736 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 29.736 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 29.736 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 29.736 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.736 * [taylor]: Taking taylor expansion of 1/2 in k 29.736 * [backup-simplify]: Simplify 1/2 into 1/2 29.736 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.736 * [taylor]: Taking taylor expansion of 1 in k 29.736 * [backup-simplify]: Simplify 1 into 1 29.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.736 * [taylor]: Taking taylor expansion of k in k 29.736 * [backup-simplify]: Simplify 0 into 0 29.736 * [backup-simplify]: Simplify 1 into 1 29.737 * [backup-simplify]: Simplify (/ 1 1) into 1 29.737 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.737 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.737 * [taylor]: Taking taylor expansion of 2 in k 29.737 * [backup-simplify]: Simplify 2 into 2 29.737 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.737 * [taylor]: Taking taylor expansion of PI in k 29.737 * [backup-simplify]: Simplify PI into PI 29.737 * [taylor]: Taking taylor expansion of n in k 29.737 * [backup-simplify]: Simplify n into n 29.737 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.737 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.737 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.737 * [backup-simplify]: Simplify (- 1) into -1 29.737 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.738 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.738 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 29.738 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 29.738 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.738 * [taylor]: Taking taylor expansion of k in k 29.738 * [backup-simplify]: Simplify 0 into 0 29.738 * [backup-simplify]: Simplify 1 into 1 29.738 * [backup-simplify]: Simplify (sqrt 0) into 0 29.739 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.739 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 29.739 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 29.739 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 29.739 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 29.739 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.739 * [taylor]: Taking taylor expansion of 1/2 in k 29.739 * [backup-simplify]: Simplify 1/2 into 1/2 29.739 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.739 * [taylor]: Taking taylor expansion of 1 in k 29.739 * [backup-simplify]: Simplify 1 into 1 29.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.739 * [taylor]: Taking taylor expansion of k in k 29.739 * [backup-simplify]: Simplify 0 into 0 29.739 * [backup-simplify]: Simplify 1 into 1 29.740 * [backup-simplify]: Simplify (/ 1 1) into 1 29.740 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.740 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.740 * [taylor]: Taking taylor expansion of 2 in k 29.740 * [backup-simplify]: Simplify 2 into 2 29.740 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.740 * [taylor]: Taking taylor expansion of PI in k 29.740 * [backup-simplify]: Simplify PI into PI 29.740 * [taylor]: Taking taylor expansion of n in k 29.740 * [backup-simplify]: Simplify n into n 29.740 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.740 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.740 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.740 * [backup-simplify]: Simplify (- 1) into -1 29.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.741 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.741 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 29.741 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 29.741 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.741 * [taylor]: Taking taylor expansion of k in k 29.741 * [backup-simplify]: Simplify 0 into 0 29.741 * [backup-simplify]: Simplify 1 into 1 29.741 * [backup-simplify]: Simplify (sqrt 0) into 0 29.742 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.742 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 29.742 * [taylor]: Taking taylor expansion of 0 in n 29.742 * [backup-simplify]: Simplify 0 into 0 29.742 * [backup-simplify]: Simplify 0 into 0 29.743 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 29.743 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 29.743 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 29.743 * [taylor]: Taking taylor expansion of +nan.0 in n 29.743 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.743 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 29.743 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 29.743 * [taylor]: Taking taylor expansion of 1/2 in n 29.743 * [backup-simplify]: Simplify 1/2 into 1/2 29.743 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 29.743 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.743 * [taylor]: Taking taylor expansion of 1 in n 29.743 * [backup-simplify]: Simplify 1 into 1 29.743 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.743 * [taylor]: Taking taylor expansion of k in n 29.743 * [backup-simplify]: Simplify k into k 29.743 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.743 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.743 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.743 * [taylor]: Taking taylor expansion of 2 in n 29.743 * [backup-simplify]: Simplify 2 into 2 29.743 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.743 * [taylor]: Taking taylor expansion of PI in n 29.743 * [backup-simplify]: Simplify PI into PI 29.743 * [taylor]: Taking taylor expansion of n in n 29.743 * [backup-simplify]: Simplify 0 into 0 29.743 * [backup-simplify]: Simplify 1 into 1 29.743 * [backup-simplify]: Simplify (/ PI 1) into PI 29.744 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.744 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.744 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.744 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.745 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.746 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 29.747 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.747 * [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))))) 29.748 * [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)))))) 29.749 * [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))))))) 29.750 * [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))))))) 29.750 * [backup-simplify]: Simplify 0 into 0 29.752 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.752 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 29.752 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 29.752 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 29.752 * [taylor]: Taking taylor expansion of +nan.0 in n 29.752 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.752 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 29.752 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 29.752 * [taylor]: Taking taylor expansion of 1/2 in n 29.752 * [backup-simplify]: Simplify 1/2 into 1/2 29.752 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 29.752 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.753 * [taylor]: Taking taylor expansion of 1 in n 29.753 * [backup-simplify]: Simplify 1 into 1 29.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.753 * [taylor]: Taking taylor expansion of k in n 29.753 * [backup-simplify]: Simplify k into k 29.753 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.753 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.753 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.753 * [taylor]: Taking taylor expansion of 2 in n 29.753 * [backup-simplify]: Simplify 2 into 2 29.753 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.753 * [taylor]: Taking taylor expansion of PI in n 29.753 * [backup-simplify]: Simplify PI into PI 29.753 * [taylor]: Taking taylor expansion of n in n 29.753 * [backup-simplify]: Simplify 0 into 0 29.753 * [backup-simplify]: Simplify 1 into 1 29.753 * [backup-simplify]: Simplify (/ PI 1) into PI 29.753 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.754 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.754 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.754 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.755 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.756 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 29.756 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.757 * [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))))) 29.758 * [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)))))) 29.759 * [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))))))) 29.760 * [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))))))) 29.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.762 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.764 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.764 * [backup-simplify]: Simplify (- 0) into 0 29.765 * [backup-simplify]: Simplify (+ 0 0) into 0 29.766 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.767 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 29.770 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.772 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 29.772 * [backup-simplify]: Simplify (- 0) into 0 29.772 * [backup-simplify]: Simplify 0 into 0 29.772 * [backup-simplify]: Simplify 0 into 0 29.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.778 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 29.778 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 29.778 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 29.778 * [taylor]: Taking taylor expansion of +nan.0 in n 29.778 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.778 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 29.778 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 29.778 * [taylor]: Taking taylor expansion of 1/2 in n 29.778 * [backup-simplify]: Simplify 1/2 into 1/2 29.778 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 29.778 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.778 * [taylor]: Taking taylor expansion of 1 in n 29.778 * [backup-simplify]: Simplify 1 into 1 29.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.778 * [taylor]: Taking taylor expansion of k in n 29.778 * [backup-simplify]: Simplify k into k 29.778 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.778 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.778 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.778 * [taylor]: Taking taylor expansion of 2 in n 29.778 * [backup-simplify]: Simplify 2 into 2 29.778 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.778 * [taylor]: Taking taylor expansion of PI in n 29.778 * [backup-simplify]: Simplify PI into PI 29.778 * [taylor]: Taking taylor expansion of n in n 29.778 * [backup-simplify]: Simplify 0 into 0 29.778 * [backup-simplify]: Simplify 1 into 1 29.779 * [backup-simplify]: Simplify (/ PI 1) into PI 29.779 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.780 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.781 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.781 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.782 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.783 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 29.784 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.785 * [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))))) 29.786 * [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)))))) 29.787 * [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))))))) 29.787 * [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))))))) 29.790 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 29.790 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 29.790 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 29.790 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 29.790 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.790 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.790 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.790 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.790 * [taylor]: Taking taylor expansion of 1/2 in n 29.791 * [backup-simplify]: Simplify 1/2 into 1/2 29.791 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.791 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.791 * [taylor]: Taking taylor expansion of k in n 29.791 * [backup-simplify]: Simplify k into k 29.791 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.791 * [taylor]: Taking taylor expansion of 1 in n 29.791 * [backup-simplify]: Simplify 1 into 1 29.791 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.791 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.791 * [taylor]: Taking taylor expansion of -2 in n 29.791 * [backup-simplify]: Simplify -2 into -2 29.791 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.791 * [taylor]: Taking taylor expansion of PI in n 29.791 * [backup-simplify]: Simplify PI into PI 29.791 * [taylor]: Taking taylor expansion of n in n 29.791 * [backup-simplify]: Simplify 0 into 0 29.791 * [backup-simplify]: Simplify 1 into 1 29.791 * [backup-simplify]: Simplify (/ PI 1) into PI 29.791 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.792 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.792 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.792 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.793 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.794 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.794 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.794 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.794 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.794 * [taylor]: Taking taylor expansion of -1 in n 29.794 * [backup-simplify]: Simplify -1 into -1 29.794 * [taylor]: Taking taylor expansion of k in n 29.794 * [backup-simplify]: Simplify k into k 29.794 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.794 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.794 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.795 * [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))) 29.795 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 29.795 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 29.795 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 29.795 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 29.795 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.795 * [taylor]: Taking taylor expansion of 1/2 in k 29.795 * [backup-simplify]: Simplify 1/2 into 1/2 29.795 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.795 * [taylor]: Taking taylor expansion of k in k 29.795 * [backup-simplify]: Simplify 0 into 0 29.795 * [backup-simplify]: Simplify 1 into 1 29.796 * [backup-simplify]: Simplify (/ 1 1) into 1 29.796 * [taylor]: Taking taylor expansion of 1 in k 29.796 * [backup-simplify]: Simplify 1 into 1 29.796 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.796 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.796 * [taylor]: Taking taylor expansion of -2 in k 29.796 * [backup-simplify]: Simplify -2 into -2 29.796 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.796 * [taylor]: Taking taylor expansion of PI in k 29.796 * [backup-simplify]: Simplify PI into PI 29.796 * [taylor]: Taking taylor expansion of n in k 29.796 * [backup-simplify]: Simplify n into n 29.796 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.796 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.796 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.796 * [backup-simplify]: Simplify (+ 1 0) into 1 29.797 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.797 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 29.797 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 29.797 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.797 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.797 * [taylor]: Taking taylor expansion of -1 in k 29.797 * [backup-simplify]: Simplify -1 into -1 29.797 * [taylor]: Taking taylor expansion of k in k 29.797 * [backup-simplify]: Simplify 0 into 0 29.797 * [backup-simplify]: Simplify 1 into 1 29.797 * [backup-simplify]: Simplify (/ -1 1) into -1 29.797 * [backup-simplify]: Simplify (sqrt 0) into 0 29.798 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.798 * [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))))) 29.798 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 29.798 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 29.798 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 29.798 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 29.798 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.798 * [taylor]: Taking taylor expansion of 1/2 in k 29.798 * [backup-simplify]: Simplify 1/2 into 1/2 29.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.799 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.799 * [taylor]: Taking taylor expansion of k in k 29.799 * [backup-simplify]: Simplify 0 into 0 29.799 * [backup-simplify]: Simplify 1 into 1 29.799 * [backup-simplify]: Simplify (/ 1 1) into 1 29.799 * [taylor]: Taking taylor expansion of 1 in k 29.799 * [backup-simplify]: Simplify 1 into 1 29.799 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.799 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.799 * [taylor]: Taking taylor expansion of -2 in k 29.799 * [backup-simplify]: Simplify -2 into -2 29.799 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.799 * [taylor]: Taking taylor expansion of PI in k 29.799 * [backup-simplify]: Simplify PI into PI 29.799 * [taylor]: Taking taylor expansion of n in k 29.799 * [backup-simplify]: Simplify n into n 29.799 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.799 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.799 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.799 * [backup-simplify]: Simplify (+ 1 0) into 1 29.800 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.800 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 29.800 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 29.800 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.800 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.800 * [taylor]: Taking taylor expansion of -1 in k 29.800 * [backup-simplify]: Simplify -1 into -1 29.800 * [taylor]: Taking taylor expansion of k in k 29.800 * [backup-simplify]: Simplify 0 into 0 29.800 * [backup-simplify]: Simplify 1 into 1 29.804 * [backup-simplify]: Simplify (/ -1 1) into -1 29.804 * [backup-simplify]: Simplify (sqrt 0) into 0 29.805 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.805 * [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))))) 29.805 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 29.805 * [taylor]: Taking taylor expansion of +nan.0 in n 29.806 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.806 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 29.806 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 29.806 * [taylor]: Taking taylor expansion of 1/2 in n 29.806 * [backup-simplify]: Simplify 1/2 into 1/2 29.806 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 29.806 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.806 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.806 * [taylor]: Taking taylor expansion of -2 in n 29.806 * [backup-simplify]: Simplify -2 into -2 29.806 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.806 * [taylor]: Taking taylor expansion of PI in n 29.806 * [backup-simplify]: Simplify PI into PI 29.806 * [taylor]: Taking taylor expansion of n in n 29.806 * [backup-simplify]: Simplify 0 into 0 29.806 * [backup-simplify]: Simplify 1 into 1 29.806 * [backup-simplify]: Simplify (/ PI 1) into PI 29.806 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.807 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.807 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.807 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.807 * [taylor]: Taking taylor expansion of k in n 29.807 * [backup-simplify]: Simplify k into k 29.807 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.807 * [taylor]: Taking taylor expansion of 1 in n 29.807 * [backup-simplify]: Simplify 1 into 1 29.808 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.808 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.809 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 29.809 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.810 * [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))))) 29.811 * [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)))))) 29.811 * [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)))))) 29.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.814 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.815 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 29.815 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 29.815 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 29.815 * [taylor]: Taking taylor expansion of +nan.0 in n 29.815 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.815 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 29.815 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 29.815 * [taylor]: Taking taylor expansion of 1/2 in n 29.815 * [backup-simplify]: Simplify 1/2 into 1/2 29.815 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 29.815 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.815 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.815 * [taylor]: Taking taylor expansion of -2 in n 29.815 * [backup-simplify]: Simplify -2 into -2 29.815 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.815 * [taylor]: Taking taylor expansion of PI in n 29.815 * [backup-simplify]: Simplify PI into PI 29.815 * [taylor]: Taking taylor expansion of n in n 29.815 * [backup-simplify]: Simplify 0 into 0 29.815 * [backup-simplify]: Simplify 1 into 1 29.815 * [backup-simplify]: Simplify (/ PI 1) into PI 29.815 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.816 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.816 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.816 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.816 * [taylor]: Taking taylor expansion of k in n 29.816 * [backup-simplify]: Simplify k into k 29.816 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.816 * [taylor]: Taking taylor expansion of 1 in n 29.816 * [backup-simplify]: Simplify 1 into 1 29.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.817 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.818 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 29.819 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.820 * [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))))) 29.821 * [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)))))) 29.823 * [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))))))) 29.824 * [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))))))) 29.825 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.826 * [backup-simplify]: Simplify (+ 0 0) into 0 29.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.827 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.830 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 29.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 29.834 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.835 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 29.835 * [backup-simplify]: Simplify 0 into 0 29.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.842 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 29.842 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 29.842 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 29.842 * [taylor]: Taking taylor expansion of +nan.0 in n 29.842 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.842 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 29.842 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 29.842 * [taylor]: Taking taylor expansion of 1/2 in n 29.842 * [backup-simplify]: Simplify 1/2 into 1/2 29.842 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 29.842 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.842 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.842 * [taylor]: Taking taylor expansion of -2 in n 29.842 * [backup-simplify]: Simplify -2 into -2 29.842 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.842 * [taylor]: Taking taylor expansion of PI in n 29.842 * [backup-simplify]: Simplify PI into PI 29.842 * [taylor]: Taking taylor expansion of n in n 29.843 * [backup-simplify]: Simplify 0 into 0 29.843 * [backup-simplify]: Simplify 1 into 1 29.843 * [backup-simplify]: Simplify (/ PI 1) into PI 29.843 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.844 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.844 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.844 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.845 * [taylor]: Taking taylor expansion of k in n 29.845 * [backup-simplify]: Simplify k into k 29.845 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.845 * [taylor]: Taking taylor expansion of 1 in n 29.845 * [backup-simplify]: Simplify 1 into 1 29.846 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.846 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.847 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 29.848 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.849 * [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))))) 29.851 * [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)))))) 29.852 * [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))))))) 29.853 * [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))))))) 29.857 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 29.857 * * * [progress]: simplifying candidates 29.857 * * * * [progress]: [ 1 / 188 ] simplifiying candidate # 29.857 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 29.858 * * [simplify]: iters left: 6 (13 enodes) 29.865 * * [simplify]: iters left: 5 (54 enodes) 29.874 * * [simplify]: iters left: 4 (97 enodes) 29.896 * * [simplify]: iters left: 3 (246 enodes) 30.011 * * [simplify]: Extracting #0: cost 1 inf + 0 30.012 * * [simplify]: Extracting #1: cost 28 inf + 0 30.012 * * [simplify]: Extracting #2: cost 93 inf + 2 30.013 * * [simplify]: Extracting #3: cost 138 inf + 186 30.014 * * [simplify]: Extracting #4: cost 108 inf + 3370 30.022 * * [simplify]: Extracting #5: cost 33 inf + 22278 30.034 * * [simplify]: Extracting #6: cost 2 inf + 32881 30.049 * * [simplify]: Extracting #7: cost 0 inf + 33789 30.062 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 30.062 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 30.063 * * * * [progress]: [ 2 / 188 ] simplifiying candidate # 30.063 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 30.063 * * [simplify]: iters left: 6 (12 enodes) 30.070 * * [simplify]: iters left: 5 (52 enodes) 30.087 * * [simplify]: iters left: 4 (90 enodes) 30.104 * * [simplify]: iters left: 3 (201 enodes) 30.186 * * [simplify]: iters left: 2 (496 enodes) 30.496 * * [simplify]: Extracting #0: cost 1 inf + 0 30.496 * * [simplify]: Extracting #1: cost 22 inf + 0 30.497 * * [simplify]: Extracting #2: cost 123 inf + 2 30.498 * * [simplify]: Extracting #3: cost 296 inf + 186 30.500 * * [simplify]: Extracting #4: cost 244 inf + 9812 30.510 * * [simplify]: Extracting #5: cost 93 inf + 50654 30.546 * * [simplify]: Extracting #6: cost 0 inf + 82473 30.564 * * [simplify]: Extracting #7: cost 0 inf + 82467 30.581 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 30.581 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))) 30.581 * * * * [progress]: [ 3 / 188 ] simplifiying candidate # 30.581 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 30.581 * * [simplify]: iters left: 6 (11 enodes) 30.585 * * [simplify]: iters left: 5 (51 enodes) 30.593 * * [simplify]: iters left: 4 (97 enodes) 30.616 * * [simplify]: iters left: 3 (198 enodes) 30.677 * * [simplify]: iters left: 2 (492 enodes) 31.020 * * [simplify]: Extracting #0: cost 1 inf + 0 31.020 * * [simplify]: Extracting #1: cost 27 inf + 0 31.021 * * [simplify]: Extracting #2: cost 138 inf + 2 31.023 * * [simplify]: Extracting #3: cost 300 inf + 352 31.028 * * [simplify]: Extracting #4: cost 251 inf + 8938 31.050 * * [simplify]: Extracting #5: cost 48 inf + 62855 31.077 * * [simplify]: Extracting #6: cost 0 inf + 74672 31.093 * * [simplify]: Extracting #7: cost 0 inf + 74341 31.112 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2) 31.112 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)))) 31.113 * * * * [progress]: [ 4 / 188 ] simplifiying candidate # 31.113 * * * * [progress]: [ 5 / 188 ] simplifiying candidate # 31.113 * [simplify]: Simplifying (* (* 2 PI) n) 31.113 * * [simplify]: iters left: 4 (5 enodes) 31.116 * * [simplify]: iters left: 3 (19 enodes) 31.122 * * [simplify]: iters left: 2 (27 enodes) 31.130 * * [simplify]: iters left: 1 (32 enodes) 31.138 * * [simplify]: Extracting #0: cost 1 inf + 0 31.138 * * [simplify]: Extracting #1: cost 8 inf + 0 31.138 * * [simplify]: Extracting #2: cost 7 inf + 45 31.139 * * [simplify]: Extracting #3: cost 0 inf + 421 31.139 * [simplify]: Simplified to (* (* 2 PI) n) 31.139 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 31.139 * * * * [progress]: [ 6 / 188 ] simplifiying candidate # 31.139 * [simplify]: Simplifying (* (* 2 PI) n) 31.139 * * [simplify]: iters left: 4 (5 enodes) 31.142 * * [simplify]: iters left: 3 (19 enodes) 31.148 * * [simplify]: iters left: 2 (27 enodes) 31.156 * * [simplify]: iters left: 1 (32 enodes) 31.164 * * [simplify]: Extracting #0: cost 1 inf + 0 31.164 * * [simplify]: Extracting #1: cost 8 inf + 0 31.164 * * [simplify]: Extracting #2: cost 7 inf + 45 31.165 * * [simplify]: Extracting #3: cost 0 inf + 421 31.165 * [simplify]: Simplified to (* (* 2 PI) n) 31.165 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 31.165 * * * * [progress]: [ 7 / 188 ] simplifiying candidate # 31.165 * [simplify]: Simplifying (* (* 2 PI) n) 31.165 * * [simplify]: iters left: 4 (5 enodes) 31.168 * * [simplify]: iters left: 3 (19 enodes) 31.172 * * [simplify]: iters left: 2 (27 enodes) 31.176 * * [simplify]: iters left: 1 (32 enodes) 31.180 * * [simplify]: Extracting #0: cost 1 inf + 0 31.180 * * [simplify]: Extracting #1: cost 8 inf + 0 31.180 * * [simplify]: Extracting #2: cost 7 inf + 45 31.180 * * [simplify]: Extracting #3: cost 0 inf + 421 31.180 * [simplify]: Simplified to (* (* 2 PI) n) 31.180 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 31.180 * * * * [progress]: [ 8 / 188 ] simplifiying candidate # 31.180 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 31.181 * * [simplify]: iters left: 5 (8 enodes) 31.183 * * [simplify]: iters left: 4 (31 enodes) 31.188 * * [simplify]: iters left: 3 (51 enodes) 31.196 * * [simplify]: iters left: 2 (85 enodes) 31.212 * * [simplify]: iters left: 1 (152 enodes) 31.252 * * [simplify]: Extracting #0: cost 1 inf + 0 31.252 * * [simplify]: Extracting #1: cost 13 inf + 0 31.252 * * [simplify]: Extracting #2: cost 60 inf + 1 31.253 * * [simplify]: Extracting #3: cost 76 inf + 51 31.254 * * [simplify]: Extracting #4: cost 44 inf + 2846 31.256 * * [simplify]: Extracting #5: cost 21 inf + 7590 31.262 * * [simplify]: Extracting #6: cost 1 inf + 20687 31.267 * * [simplify]: Extracting #7: cost 0 inf + 20539 31.273 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 31.273 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 31.273 * * * * [progress]: [ 9 / 188 ] simplifiying candidate # 31.273 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 31.273 * * [simplify]: iters left: 5 (6 enodes) 31.277 * * [simplify]: iters left: 4 (26 enodes) 31.286 * * [simplify]: iters left: 3 (35 enodes) 31.296 * * [simplify]: Extracting #0: cost 1 inf + 0 31.296 * * [simplify]: Extracting #1: cost 3 inf + 0 31.296 * * [simplify]: Extracting #2: cost 8 inf + 0 31.296 * * [simplify]: Extracting #3: cost 11 inf + 2 31.296 * * [simplify]: Extracting #4: cost 8 inf + 87 31.297 * * [simplify]: Extracting #5: cost 2 inf + 500 31.297 * * [simplify]: Extracting #6: cost 0 inf + 746 31.297 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 31.297 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 31.297 * * * * [progress]: [ 10 / 188 ] simplifiying candidate # 31.298 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 31.298 * * [simplify]: iters left: 5 (6 enodes) 31.302 * * [simplify]: iters left: 4 (26 enodes) 31.310 * * [simplify]: iters left: 3 (35 enodes) 31.316 * * [simplify]: Extracting #0: cost 1 inf + 0 31.316 * * [simplify]: Extracting #1: cost 3 inf + 0 31.316 * * [simplify]: Extracting #2: cost 8 inf + 0 31.316 * * [simplify]: Extracting #3: cost 11 inf + 2 31.316 * * [simplify]: Extracting #4: cost 8 inf + 87 31.316 * * [simplify]: Extracting #5: cost 2 inf + 460 31.316 * * [simplify]: Extracting #6: cost 0 inf + 666 31.316 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 31.316 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 31.317 * * * * [progress]: [ 11 / 188 ] simplifiying candidate # 31.317 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 31.317 * * [simplify]: iters left: 5 (7 enodes) 31.319 * * [simplify]: iters left: 4 (25 enodes) 31.323 * * [simplify]: iters left: 3 (30 enodes) 31.331 * * [simplify]: Extracting #0: cost 1 inf + 0 31.331 * * [simplify]: Extracting #1: cost 4 inf + 0 31.331 * * [simplify]: Extracting #2: cost 8 inf + 0 31.331 * * [simplify]: Extracting #3: cost 10 inf + 82 31.331 * * [simplify]: Extracting #4: cost 7 inf + 206 31.331 * * [simplify]: Extracting #5: cost 2 inf + 575 31.331 * * [simplify]: Extracting #6: cost 1 inf + 818 31.331 * * [simplify]: Extracting #7: cost 0 inf + 1061 31.331 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 31.332 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 31.332 * * * * [progress]: [ 12 / 188 ] simplifiying candidate # 31.332 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 31.332 * * [simplify]: iters left: 5 (7 enodes) 31.334 * * [simplify]: iters left: 4 (25 enodes) 31.339 * * [simplify]: iters left: 3 (30 enodes) 31.344 * * [simplify]: Extracting #0: cost 1 inf + 0 31.344 * * [simplify]: Extracting #1: cost 4 inf + 0 31.344 * * [simplify]: Extracting #2: cost 8 inf + 0 31.344 * * [simplify]: Extracting #3: cost 10 inf + 42 31.344 * * [simplify]: Extracting #4: cost 7 inf + 126 31.345 * * [simplify]: Extracting #5: cost 2 inf + 495 31.345 * * [simplify]: Extracting #6: cost 1 inf + 698 31.345 * * [simplify]: Extracting #7: cost 0 inf + 901 31.345 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 31.346 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 31.346 * * * * [progress]: [ 13 / 188 ] simplifiying candidate # 31.346 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 31.346 * * [simplify]: iters left: 5 (6 enodes) 31.350 * * [simplify]: iters left: 4 (22 enodes) 31.357 * * [simplify]: iters left: 3 (27 enodes) 31.365 * * [simplify]: Extracting #0: cost 1 inf + 0 31.365 * * [simplify]: Extracting #1: cost 4 inf + 0 31.365 * * [simplify]: Extracting #2: cost 5 inf + 1 31.365 * * [simplify]: Extracting #3: cost 9 inf + 1 31.365 * * [simplify]: Extracting #4: cost 8 inf + 3 31.365 * * [simplify]: Extracting #5: cost 4 inf + 169 31.365 * * [simplify]: Extracting #6: cost 1 inf + 576 31.366 * * [simplify]: Extracting #7: cost 0 inf + 739 31.366 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 31.366 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 31.366 * * * * [progress]: [ 14 / 188 ] simplifiying candidate # 31.366 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 31.366 * * [simplify]: iters left: 5 (7 enodes) 31.371 * * [simplify]: iters left: 4 (25 enodes) 31.379 * * [simplify]: iters left: 3 (30 enodes) 31.388 * * [simplify]: Extracting #0: cost 1 inf + 0 31.388 * * [simplify]: Extracting #1: cost 4 inf + 0 31.388 * * [simplify]: Extracting #2: cost 8 inf + 0 31.388 * * [simplify]: Extracting #3: cost 10 inf + 82 31.388 * * [simplify]: Extracting #4: cost 7 inf + 206 31.388 * * [simplify]: Extracting #5: cost 2 inf + 495 31.389 * * [simplify]: Extracting #6: cost 1 inf + 698 31.389 * * [simplify]: Extracting #7: cost 0 inf + 901 31.389 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 31.389 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 31.390 * * * * [progress]: [ 15 / 188 ] simplifiying candidate # 31.390 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 31.390 * * [simplify]: iters left: 5 (7 enodes) 31.394 * * [simplify]: iters left: 4 (25 enodes) 31.402 * * [simplify]: iters left: 3 (30 enodes) 31.412 * * [simplify]: Extracting #0: cost 1 inf + 0 31.412 * * [simplify]: Extracting #1: cost 4 inf + 0 31.412 * * [simplify]: Extracting #2: cost 8 inf + 0 31.412 * * [simplify]: Extracting #3: cost 10 inf + 42 31.412 * * [simplify]: Extracting #4: cost 7 inf + 126 31.413 * * [simplify]: Extracting #5: cost 2 inf + 415 31.413 * * [simplify]: Extracting #6: cost 1 inf + 578 31.413 * * [simplify]: Extracting #7: cost 0 inf + 741 31.413 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 31.414 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 31.414 * * * * [progress]: [ 16 / 188 ] simplifiying candidate # 31.414 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 31.414 * * [simplify]: iters left: 5 (6 enodes) 31.416 * * [simplify]: iters left: 4 (22 enodes) 31.420 * * [simplify]: iters left: 3 (27 enodes) 31.424 * * [simplify]: Extracting #0: cost 1 inf + 0 31.424 * * [simplify]: Extracting #1: cost 4 inf + 0 31.424 * * [simplify]: Extracting #2: cost 5 inf + 1 31.424 * * [simplify]: Extracting #3: cost 9 inf + 1 31.424 * * [simplify]: Extracting #4: cost 8 inf + 3 31.424 * * [simplify]: Extracting #5: cost 4 inf + 169 31.424 * * [simplify]: Extracting #6: cost 1 inf + 456 31.424 * * [simplify]: Extracting #7: cost 0 inf + 579 31.424 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 31.424 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 31.424 * * * * [progress]: [ 17 / 188 ] simplifiying candidate # 31.425 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 31.425 * * [simplify]: iters left: 4 (6 enodes) 31.427 * * [simplify]: iters left: 3 (25 enodes) 31.431 * * [simplify]: iters left: 2 (36 enodes) 31.436 * * [simplify]: iters left: 1 (40 enodes) 31.444 * * [simplify]: Extracting #0: cost 1 inf + 0 31.444 * * [simplify]: Extracting #1: cost 7 inf + 0 31.444 * * [simplify]: Extracting #2: cost 16 inf + 0 31.445 * * [simplify]: Extracting #3: cost 13 inf + 44 31.445 * * [simplify]: Extracting #4: cost 3 inf + 1103 31.445 * * [simplify]: Extracting #5: cost 0 inf + 1469 31.445 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 31.445 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 31.445 * * * * [progress]: [ 18 / 188 ] simplifiying candidate # 31.445 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 31.446 * * [simplify]: iters left: 4 (6 enodes) 31.448 * * [simplify]: iters left: 3 (25 enodes) 31.454 * * [simplify]: iters left: 2 (36 enodes) 31.464 * * [simplify]: iters left: 1 (40 enodes) 31.476 * * [simplify]: Extracting #0: cost 1 inf + 0 31.476 * * [simplify]: Extracting #1: cost 7 inf + 0 31.476 * * [simplify]: Extracting #2: cost 16 inf + 0 31.476 * * [simplify]: Extracting #3: cost 13 inf + 44 31.477 * * [simplify]: Extracting #4: cost 3 inf + 823 31.477 * * [simplify]: Extracting #5: cost 0 inf + 1069 31.478 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 31.478 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 31.478 * * * * [progress]: [ 19 / 188 ] simplifiying candidate # 31.478 * [simplify]: Simplifying (/ (- 1 k) 2) 31.478 * * [simplify]: iters left: 4 (5 enodes) 31.482 * * [simplify]: iters left: 3 (23 enodes) 31.490 * * [simplify]: iters left: 2 (32 enodes) 31.497 * * [simplify]: Extracting #0: cost 1 inf + 0 31.497 * * [simplify]: Extracting #1: cost 6 inf + 0 31.497 * * [simplify]: Extracting #2: cost 9 inf + 2 31.497 * * [simplify]: Extracting #3: cost 6 inf + 87 31.497 * * [simplify]: Extracting #4: cost 0 inf + 420 31.497 * [simplify]: Simplified to (/ (- 1 k) 2) 31.497 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 31.498 * * * * [progress]: [ 20 / 188 ] simplifiying candidate # 31.498 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 31.498 * * [simplify]: iters left: 5 (8 enodes) 31.501 * * [simplify]: iters left: 4 (31 enodes) 31.506 * * [simplify]: iters left: 3 (45 enodes) 31.512 * * [simplify]: iters left: 2 (51 enodes) 31.519 * * [simplify]: iters left: 1 (52 enodes) 31.525 * * [simplify]: Extracting #0: cost 1 inf + 0 31.525 * * [simplify]: Extracting #1: cost 8 inf + 0 31.526 * * [simplify]: Extracting #2: cost 18 inf + 0 31.526 * * [simplify]: Extracting #3: cost 19 inf + 2 31.526 * * [simplify]: Extracting #4: cost 9 inf + 977 31.526 * * [simplify]: Extracting #5: cost 2 inf + 1790 31.527 * * [simplify]: Extracting #6: cost 0 inf + 2195 31.528 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 31.528 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 31.528 * * * * [progress]: [ 21 / 188 ] simplifiying candidate # 31.528 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 31.529 * * [simplify]: iters left: 5 (8 enodes) 31.534 * * [simplify]: iters left: 4 (31 enodes) 31.544 * * [simplify]: iters left: 3 (45 enodes) 31.556 * * [simplify]: iters left: 2 (51 enodes) 31.566 * * [simplify]: iters left: 1 (52 enodes) 31.573 * * [simplify]: Extracting #0: cost 1 inf + 0 31.573 * * [simplify]: Extracting #1: cost 8 inf + 0 31.573 * * [simplify]: Extracting #2: cost 18 inf + 0 31.573 * * [simplify]: Extracting #3: cost 19 inf + 2 31.573 * * [simplify]: Extracting #4: cost 9 inf + 697 31.574 * * [simplify]: Extracting #5: cost 2 inf + 1390 31.574 * * [simplify]: Extracting #6: cost 0 inf + 1715 31.574 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 31.574 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 31.575 * * * * [progress]: [ 22 / 188 ] simplifiying candidate # 31.575 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 31.575 * * [simplify]: iters left: 5 (7 enodes) 31.577 * * [simplify]: iters left: 4 (29 enodes) 31.583 * * [simplify]: iters left: 3 (43 enodes) 31.588 * * [simplify]: iters left: 2 (47 enodes) 31.594 * * [simplify]: Extracting #0: cost 1 inf + 0 31.594 * * [simplify]: Extracting #1: cost 7 inf + 0 31.594 * * [simplify]: Extracting #2: cost 11 inf + 2 31.594 * * [simplify]: Extracting #3: cost 13 inf + 3 31.594 * * [simplify]: Extracting #4: cost 11 inf + 45 31.595 * * [simplify]: Extracting #5: cost 0 inf + 1066 31.595 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 31.595 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 31.595 * * * * [progress]: [ 23 / 188 ] simplifiying candidate # 31.595 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 31.595 * * [simplify]: iters left: 5 (7 enodes) 31.597 * * [simplify]: iters left: 4 (28 enodes) 31.602 * * [simplify]: iters left: 3 (39 enodes) 31.608 * * [simplify]: iters left: 2 (43 enodes) 31.619 * * [simplify]: Extracting #0: cost 1 inf + 0 31.619 * * [simplify]: Extracting #1: cost 7 inf + 0 31.619 * * [simplify]: Extracting #2: cost 16 inf + 0 31.619 * * [simplify]: Extracting #3: cost 15 inf + 164 31.619 * * [simplify]: Extracting #4: cost 13 inf + 287 31.620 * * [simplify]: Extracting #5: cost 5 inf + 1180 31.620 * * [simplify]: Extracting #6: cost 0 inf + 1951 31.621 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 31.621 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 31.621 * * * * [progress]: [ 24 / 188 ] simplifiying candidate # 31.621 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 31.621 * * [simplify]: iters left: 5 (7 enodes) 31.626 * * [simplify]: iters left: 4 (28 enodes) 31.635 * * [simplify]: iters left: 3 (39 enodes) 31.645 * * [simplify]: iters left: 2 (43 enodes) 31.651 * * [simplify]: Extracting #0: cost 1 inf + 0 31.651 * * [simplify]: Extracting #1: cost 7 inf + 0 31.651 * * [simplify]: Extracting #2: cost 16 inf + 0 31.652 * * [simplify]: Extracting #3: cost 15 inf + 84 31.652 * * [simplify]: Extracting #4: cost 13 inf + 167 31.652 * * [simplify]: Extracting #5: cost 5 inf + 900 31.652 * * [simplify]: Extracting #6: cost 0 inf + 1551 31.652 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 31.652 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 31.652 * * * * [progress]: [ 25 / 188 ] simplifiying candidate # 31.653 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 31.653 * * [simplify]: iters left: 5 (6 enodes) 31.655 * * [simplify]: iters left: 4 (26 enodes) 31.661 * * [simplify]: iters left: 3 (35 enodes) 31.667 * * [simplify]: Extracting #0: cost 1 inf + 0 31.667 * * [simplify]: Extracting #1: cost 6 inf + 0 31.667 * * [simplify]: Extracting #2: cost 9 inf + 2 31.667 * * [simplify]: Extracting #3: cost 11 inf + 3 31.667 * * [simplify]: Extracting #4: cost 10 inf + 4 31.667 * * [simplify]: Extracting #5: cost 3 inf + 535 31.667 * * [simplify]: Extracting #6: cost 0 inf + 822 31.667 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 31.667 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 31.667 * * * * [progress]: [ 26 / 188 ] simplifiying candidate # 31.668 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 31.668 * * [simplify]: iters left: 4 (6 enodes) 31.670 * * [simplify]: iters left: 3 (25 enodes) 31.674 * * [simplify]: iters left: 2 (36 enodes) 31.685 * * [simplify]: iters left: 1 (40 enodes) 31.697 * * [simplify]: Extracting #0: cost 1 inf + 0 31.697 * * [simplify]: Extracting #1: cost 7 inf + 0 31.697 * * [simplify]: Extracting #2: cost 16 inf + 0 31.698 * * [simplify]: Extracting #3: cost 13 inf + 44 31.698 * * [simplify]: Extracting #4: cost 3 inf + 1103 31.698 * * [simplify]: Extracting #5: cost 0 inf + 1469 31.699 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 31.699 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 31.699 * * * * [progress]: [ 27 / 188 ] simplifiying candidate # 31.699 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 31.699 * * [simplify]: iters left: 4 (6 enodes) 31.704 * * [simplify]: iters left: 3 (25 enodes) 31.712 * * [simplify]: iters left: 2 (36 enodes) 31.723 * * [simplify]: iters left: 1 (40 enodes) 31.735 * * [simplify]: Extracting #0: cost 1 inf + 0 31.735 * * [simplify]: Extracting #1: cost 7 inf + 0 31.735 * * [simplify]: Extracting #2: cost 16 inf + 0 31.735 * * [simplify]: Extracting #3: cost 13 inf + 44 31.735 * * [simplify]: Extracting #4: cost 3 inf + 823 31.735 * * [simplify]: Extracting #5: cost 0 inf + 1069 31.735 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 31.735 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 31.735 * * * * [progress]: [ 28 / 188 ] simplifiying candidate # 31.736 * [simplify]: Simplifying (/ (- 1 k) 2) 31.736 * * [simplify]: iters left: 4 (5 enodes) 31.738 * * [simplify]: iters left: 3 (23 enodes) 31.742 * * [simplify]: iters left: 2 (32 enodes) 31.747 * * [simplify]: Extracting #0: cost 1 inf + 0 31.747 * * [simplify]: Extracting #1: cost 6 inf + 0 31.747 * * [simplify]: Extracting #2: cost 9 inf + 2 31.747 * * [simplify]: Extracting #3: cost 6 inf + 87 31.747 * * [simplify]: Extracting #4: cost 0 inf + 420 31.747 * [simplify]: Simplified to (/ (- 1 k) 2) 31.747 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 31.747 * * * * [progress]: [ 29 / 188 ] simplifiying candidate # 31.747 * [simplify]: Simplifying (/ (- 1 k) 2) 31.747 * * [simplify]: iters left: 4 (5 enodes) 31.749 * * [simplify]: iters left: 3 (23 enodes) 31.753 * * [simplify]: iters left: 2 (32 enodes) 31.758 * * [simplify]: Extracting #0: cost 1 inf + 0 31.758 * * [simplify]: Extracting #1: cost 6 inf + 0 31.759 * * [simplify]: Extracting #2: cost 9 inf + 2 31.759 * * [simplify]: Extracting #3: cost 6 inf + 87 31.759 * * [simplify]: Extracting #4: cost 0 inf + 420 31.759 * [simplify]: Simplified to (/ (- 1 k) 2) 31.759 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 31.759 * * * * [progress]: [ 30 / 188 ] simplifiying candidate # 31.759 * [simplify]: Simplifying (/ 1 2) 31.759 * * [simplify]: iters left: 2 (3 enodes) 31.761 * * [simplify]: iters left: 1 (12 enodes) 31.763 * * [simplify]: Extracting #0: cost 1 inf + 0 31.763 * * [simplify]: Extracting #1: cost 0 inf + 1 31.763 * [simplify]: Simplified to 1/2 31.763 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 31.763 * * * * [progress]: [ 31 / 188 ] simplifiying candidate # 31.763 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 31.764 * * [simplify]: iters left: 5 (8 enodes) 31.766 * * [simplify]: iters left: 4 (36 enodes) 31.775 * * [simplify]: iters left: 3 (57 enodes) 31.784 * * [simplify]: iters left: 2 (90 enodes) 31.802 * * [simplify]: iters left: 1 (176 enodes) 31.835 * * [simplify]: Extracting #0: cost 1 inf + 0 31.835 * * [simplify]: Extracting #1: cost 13 inf + 0 31.836 * * [simplify]: Extracting #2: cost 55 inf + 1 31.836 * * [simplify]: Extracting #3: cost 86 inf + 6 31.836 * * [simplify]: Extracting #4: cost 68 inf + 2553 31.838 * * [simplify]: Extracting #5: cost 24 inf + 10048 31.841 * * [simplify]: Extracting #6: cost 3 inf + 21580 31.844 * * [simplify]: Extracting #7: cost 0 inf + 23439 31.850 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 31.850 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 31.850 * * * * [progress]: [ 32 / 188 ] simplifiying candidate # 31.850 * * * * [progress]: [ 33 / 188 ] simplifiying candidate # 31.850 * * * * [progress]: [ 34 / 188 ] simplifiying candidate # 31.850 * * * * [progress]: [ 35 / 188 ] simplifiying candidate # 31.850 * * * * [progress]: [ 36 / 188 ] simplifiying candidate # 31.850 * * * * [progress]: [ 37 / 188 ] simplifiying candidate # 31.850 * * * * [progress]: [ 38 / 188 ] simplifiying candidate # 31.850 * * * * [progress]: [ 39 / 188 ] simplifiying candidate # 31.850 * * * * [progress]: [ 40 / 188 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 31.850 * * * * [progress]: [ 41 / 188 ] simplifiying candidate # 31.850 * * * * [progress]: [ 42 / 188 ] simplifiying candidate # 31.851 * [simplify]: Simplifying (- 1/2) 31.851 * * [simplify]: iters left: 2 (2 enodes) 31.852 * * [simplify]: iters left: 1 (7 enodes) 31.854 * * [simplify]: Extracting #0: cost 1 inf + 0 31.854 * * [simplify]: Extracting #1: cost 0 inf + 1 31.854 * [simplify]: Simplified to -1/2 31.854 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.854 * * * * [progress]: [ 43 / 188 ] simplifiying candidate # 31.854 * [simplify]: Simplifying (- 1) 31.854 * * [simplify]: iters left: 2 (2 enodes) 31.855 * * [simplify]: iters left: 1 (9 enodes) 31.857 * * [simplify]: Extracting #0: cost 1 inf + 0 31.857 * * [simplify]: Extracting #1: cost 0 inf + 1 31.857 * [simplify]: Simplified to -1 31.857 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.857 * * * * [progress]: [ 44 / 188 ] simplifiying candidate # 31.857 * [simplify]: Simplifying (- (/ 1 2)) 31.857 * * [simplify]: iters left: 4 (4 enodes) 31.860 * * [simplify]: iters left: 3 (19 enodes) 31.863 * * [simplify]: iters left: 2 (23 enodes) 31.867 * * [simplify]: Extracting #0: cost 1 inf + 0 31.867 * * [simplify]: Extracting #1: cost 0 inf + 1 31.867 * [simplify]: Simplified to -1/2 31.867 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.867 * * * * [progress]: [ 45 / 188 ] simplifiying candidate # 31.867 * * * * [progress]: [ 46 / 188 ] simplifiying candidate # 31.868 * * * * [progress]: [ 47 / 188 ] simplifiying candidate # 31.868 * [simplify]: Simplifying (- 0 (log (sqrt k))) 31.868 * * [simplify]: iters left: 4 (5 enodes) 31.869 * * [simplify]: iters left: 3 (17 enodes) 31.872 * * [simplify]: iters left: 2 (21 enodes) 31.875 * * [simplify]: iters left: 1 (23 enodes) 31.878 * * [simplify]: Extracting #0: cost 1 inf + 0 31.878 * * [simplify]: Extracting #1: cost 4 inf + 0 31.878 * * [simplify]: Extracting #2: cost 5 inf + 1 31.878 * * [simplify]: Extracting #3: cost 7 inf + 1 31.878 * * [simplify]: Extracting #4: cost 0 inf + 608 31.878 * [simplify]: Simplified to (- (log (sqrt k))) 31.878 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.878 * * * * [progress]: [ 48 / 188 ] simplifiying candidate # 31.879 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 31.879 * * [simplify]: iters left: 4 (6 enodes) 31.880 * * [simplify]: iters left: 3 (22 enodes) 31.884 * * [simplify]: Extracting #0: cost 1 inf + 0 31.884 * * [simplify]: Extracting #1: cost 4 inf + 0 31.884 * * [simplify]: Extracting #2: cost 5 inf + 1 31.884 * * [simplify]: Extracting #3: cost 7 inf + 1 31.884 * * [simplify]: Extracting #4: cost 6 inf + 2 31.884 * * [simplify]: Extracting #5: cost 1 inf + 457 31.884 * * [simplify]: Extracting #6: cost 0 inf + 608 31.884 * [simplify]: Simplified to (- (log (sqrt k))) 31.884 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.884 * * * * [progress]: [ 49 / 188 ] simplifiying candidate # 31.884 * * * * [progress]: [ 50 / 188 ] simplifiying candidate # 31.884 * * * * [progress]: [ 51 / 188 ] simplifiying candidate # 31.884 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 31.885 * * [simplify]: iters left: 6 (8 enodes) 31.887 * * [simplify]: iters left: 5 (26 enodes) 31.891 * * [simplify]: iters left: 4 (43 enodes) 31.898 * * [simplify]: iters left: 3 (59 enodes) 31.906 * * [simplify]: iters left: 2 (67 enodes) 31.922 * * [simplify]: iters left: 1 (69 enodes) 31.931 * * [simplify]: Extracting #0: cost 1 inf + 0 31.931 * * [simplify]: Extracting #1: cost 14 inf + 0 31.931 * * [simplify]: Extracting #2: cost 18 inf + 2 31.931 * * [simplify]: Extracting #3: cost 7 inf + 701 31.931 * * [simplify]: Extracting #4: cost 0 inf + 1234 31.932 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 31.932 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.932 * * * * [progress]: [ 52 / 188 ] simplifiying candidate # 31.932 * * * * [progress]: [ 53 / 188 ] simplifiying candidate # 31.932 * * * * [progress]: [ 54 / 188 ] simplifiying candidate # 31.932 * * * * [progress]: [ 55 / 188 ] simplifiying candidate # 31.932 * * * * [progress]: [ 56 / 188 ] simplifiying candidate # 31.932 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.932 * * [simplify]: iters left: 6 (8 enodes) 31.935 * * [simplify]: iters left: 5 (32 enodes) 31.942 * * [simplify]: iters left: 4 (48 enodes) 31.950 * * [simplify]: iters left: 3 (76 enodes) 31.972 * * [simplify]: iters left: 2 (81 enodes) 31.985 * * [simplify]: Extracting #0: cost 1 inf + 0 31.985 * * [simplify]: Extracting #1: cost 6 inf + 0 31.985 * * [simplify]: Extracting #2: cost 9 inf + 1 31.985 * * [simplify]: Extracting #3: cost 11 inf + 1 31.985 * * [simplify]: Extracting #4: cost 2 inf + 1052 31.986 * * [simplify]: Extracting #5: cost 0 inf + 1376 31.986 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.987 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.987 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 31.987 * * [simplify]: iters left: 4 (6 enodes) 31.991 * * [simplify]: iters left: 3 (20 enodes) 31.997 * * [simplify]: iters left: 2 (22 enodes) 32.003 * * [simplify]: Extracting #0: cost 1 inf + 0 32.003 * * [simplify]: Extracting #1: cost 4 inf + 0 32.003 * * [simplify]: Extracting #2: cost 5 inf + 1 32.003 * * [simplify]: Extracting #3: cost 7 inf + 1 32.003 * * [simplify]: Extracting #4: cost 1 inf + 488 32.003 * * [simplify]: Extracting #5: cost 0 inf + 650 32.004 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 32.004 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.004 * * * * [progress]: [ 57 / 188 ] simplifiying candidate # 32.004 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 32.004 * * [simplify]: iters left: 6 (8 enodes) 32.010 * * [simplify]: iters left: 5 (29 enodes) 32.018 * * [simplify]: iters left: 4 (31 enodes) 32.026 * * [simplify]: Extracting #0: cost 1 inf + 0 32.026 * * [simplify]: Extracting #1: cost 4 inf + 0 32.026 * * [simplify]: Extracting #2: cost 6 inf + 1 32.027 * * [simplify]: Extracting #3: cost 9 inf + 1 32.027 * * [simplify]: Extracting #4: cost 8 inf + 2 32.027 * * [simplify]: Extracting #5: cost 2 inf + 729 32.027 * * [simplify]: Extracting #6: cost 0 inf + 972 32.027 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 32.027 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.028 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 32.028 * * [simplify]: iters left: 4 (6 enodes) 32.032 * * [simplify]: iters left: 3 (20 enodes) 32.037 * * [simplify]: iters left: 2 (22 enodes) 32.044 * * [simplify]: Extracting #0: cost 1 inf + 0 32.044 * * [simplify]: Extracting #1: cost 4 inf + 0 32.044 * * [simplify]: Extracting #2: cost 5 inf + 1 32.044 * * [simplify]: Extracting #3: cost 7 inf + 1 32.044 * * [simplify]: Extracting #4: cost 1 inf + 568 32.044 * * [simplify]: Extracting #5: cost 0 inf + 730 32.044 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 32.044 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.045 * * * * [progress]: [ 58 / 188 ] simplifiying candidate # 32.045 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 32.045 * * [simplify]: iters left: 5 (7 enodes) 32.050 * * [simplify]: iters left: 4 (25 enodes) 32.058 * * [simplify]: iters left: 3 (27 enodes) 32.065 * * [simplify]: Extracting #0: cost 1 inf + 0 32.065 * * [simplify]: Extracting #1: cost 4 inf + 0 32.065 * * [simplify]: Extracting #2: cost 5 inf + 1 32.065 * * [simplify]: Extracting #3: cost 7 inf + 1 32.065 * * [simplify]: Extracting #4: cost 6 inf + 2 32.065 * * [simplify]: Extracting #5: cost 2 inf + 368 32.066 * * [simplify]: Extracting #6: cost 0 inf + 490 32.066 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.066 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.066 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 32.066 * * [simplify]: iters left: 4 (6 enodes) 32.070 * * [simplify]: iters left: 3 (20 enodes) 32.079 * * [simplify]: iters left: 2 (22 enodes) 32.085 * * [simplify]: Extracting #0: cost 1 inf + 0 32.085 * * [simplify]: Extracting #1: cost 4 inf + 0 32.085 * * [simplify]: Extracting #2: cost 5 inf + 1 32.085 * * [simplify]: Extracting #3: cost 7 inf + 1 32.085 * * [simplify]: Extracting #4: cost 1 inf + 368 32.085 * * [simplify]: Extracting #5: cost 0 inf + 490 32.086 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.086 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.086 * * * * [progress]: [ 59 / 188 ] simplifiying candidate # 32.086 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 32.086 * * [simplify]: iters left: 5 (5 enodes) 32.095 * * [simplify]: iters left: 4 (19 enodes) 32.100 * * [simplify]: iters left: 3 (21 enodes) 32.103 * * [simplify]: Extracting #0: cost 1 inf + 0 32.103 * * [simplify]: Extracting #1: cost 0 inf + 1 32.103 * [simplify]: Simplified to 1 32.103 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.104 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 32.104 * * [simplify]: iters left: 3 (5 enodes) 32.106 * * [simplify]: iters left: 2 (17 enodes) 32.108 * * [simplify]: iters left: 1 (19 enodes) 32.111 * * [simplify]: Extracting #0: cost 1 inf + 0 32.111 * * [simplify]: Extracting #1: cost 4 inf + 0 32.111 * * [simplify]: Extracting #2: cost 5 inf + 1 32.111 * * [simplify]: Extracting #3: cost 0 inf + 248 32.111 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.111 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.111 * * * * [progress]: [ 60 / 188 ] simplifiying candidate # 32.112 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 32.112 * * [simplify]: iters left: 5 (7 enodes) 32.114 * * [simplify]: iters left: 4 (25 enodes) 32.118 * * [simplify]: iters left: 3 (27 enodes) 32.122 * * [simplify]: Extracting #0: cost 1 inf + 0 32.122 * * [simplify]: Extracting #1: cost 4 inf + 0 32.122 * * [simplify]: Extracting #2: cost 5 inf + 1 32.122 * * [simplify]: Extracting #3: cost 7 inf + 1 32.122 * * [simplify]: Extracting #4: cost 6 inf + 2 32.122 * * [simplify]: Extracting #5: cost 2 inf + 368 32.122 * * [simplify]: Extracting #6: cost 0 inf + 490 32.122 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.122 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.122 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 32.122 * * [simplify]: iters left: 4 (6 enodes) 32.124 * * [simplify]: iters left: 3 (20 enodes) 32.127 * * [simplify]: iters left: 2 (22 enodes) 32.131 * * [simplify]: Extracting #0: cost 1 inf + 0 32.131 * * [simplify]: Extracting #1: cost 4 inf + 0 32.131 * * [simplify]: Extracting #2: cost 5 inf + 1 32.131 * * [simplify]: Extracting #3: cost 7 inf + 1 32.131 * * [simplify]: Extracting #4: cost 1 inf + 368 32.131 * * [simplify]: Extracting #5: cost 0 inf + 490 32.132 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.132 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.132 * * * * [progress]: [ 61 / 188 ] simplifiying candidate # 32.132 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 32.132 * * [simplify]: iters left: 5 (4 enodes) 32.139 * * [simplify]: iters left: 4 (14 enodes) 32.143 * * [simplify]: iters left: 3 (16 enodes) 32.146 * * [simplify]: Extracting #0: cost 1 inf + 0 32.146 * * [simplify]: Extracting #1: cost 0 inf + 1 32.146 * [simplify]: Simplified to 1 32.146 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.147 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 32.147 * * [simplify]: iters left: 3 (5 enodes) 32.151 * * [simplify]: iters left: 2 (17 enodes) 32.156 * * [simplify]: iters left: 1 (19 enodes) 32.161 * * [simplify]: Extracting #0: cost 1 inf + 0 32.162 * * [simplify]: Extracting #1: cost 4 inf + 0 32.162 * * [simplify]: Extracting #2: cost 5 inf + 1 32.162 * * [simplify]: Extracting #3: cost 0 inf + 248 32.162 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.162 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.162 * * * * [progress]: [ 62 / 188 ] simplifiying candidate # 32.162 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.162 * * [simplify]: iters left: 6 (7 enodes) 32.167 * * [simplify]: iters left: 5 (25 enodes) 32.175 * * [simplify]: iters left: 4 (32 enodes) 32.183 * * [simplify]: iters left: 3 (34 enodes) 32.192 * * [simplify]: Extracting #0: cost 1 inf + 0 32.192 * * [simplify]: Extracting #1: cost 7 inf + 0 32.192 * * [simplify]: Extracting #2: cost 11 inf + 1 32.192 * * [simplify]: Extracting #3: cost 13 inf + 1 32.193 * * [simplify]: Extracting #4: cost 10 inf + 84 32.193 * * [simplify]: Extracting #5: cost 4 inf + 1014 32.193 * * [simplify]: Extracting #6: cost 1 inf + 1498 32.194 * * [simplify]: Extracting #7: cost 0 inf + 1700 32.194 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 32.195 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.195 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 32.195 * * [simplify]: iters left: 4 (6 enodes) 32.199 * * [simplify]: iters left: 3 (20 enodes) 32.205 * * [simplify]: iters left: 2 (22 enodes) 32.214 * * [simplify]: Extracting #0: cost 1 inf + 0 32.214 * * [simplify]: Extracting #1: cost 4 inf + 0 32.214 * * [simplify]: Extracting #2: cost 5 inf + 1 32.214 * * [simplify]: Extracting #3: cost 7 inf + 1 32.215 * * [simplify]: Extracting #4: cost 1 inf + 488 32.215 * * [simplify]: Extracting #5: cost 0 inf + 650 32.215 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 32.215 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.215 * * * * [progress]: [ 63 / 188 ] simplifiying candidate # 32.215 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 32.216 * * [simplify]: iters left: 6 (7 enodes) 32.220 * * [simplify]: iters left: 5 (24 enodes) 32.227 * * [simplify]: iters left: 4 (26 enodes) 32.234 * * [simplify]: Extracting #0: cost 1 inf + 0 32.234 * * [simplify]: Extracting #1: cost 4 inf + 0 32.234 * * [simplify]: Extracting #2: cost 6 inf + 1 32.234 * * [simplify]: Extracting #3: cost 9 inf + 1 32.234 * * [simplify]: Extracting #4: cost 8 inf + 2 32.234 * * [simplify]: Extracting #5: cost 2 inf + 730 32.235 * * [simplify]: Extracting #6: cost 0 inf + 972 32.235 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 32.235 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.235 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 32.235 * * [simplify]: iters left: 4 (6 enodes) 32.239 * * [simplify]: iters left: 3 (20 enodes) 32.245 * * [simplify]: iters left: 2 (22 enodes) 32.251 * * [simplify]: Extracting #0: cost 1 inf + 0 32.251 * * [simplify]: Extracting #1: cost 4 inf + 0 32.251 * * [simplify]: Extracting #2: cost 5 inf + 1 32.251 * * [simplify]: Extracting #3: cost 7 inf + 1 32.251 * * [simplify]: Extracting #4: cost 1 inf + 568 32.251 * * [simplify]: Extracting #5: cost 0 inf + 730 32.252 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 32.252 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.252 * * * * [progress]: [ 64 / 188 ] simplifiying candidate # 32.252 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.252 * * [simplify]: iters left: 4 (6 enodes) 32.256 * * [simplify]: iters left: 3 (20 enodes) 32.262 * * [simplify]: iters left: 2 (22 enodes) 32.268 * * [simplify]: Extracting #0: cost 1 inf + 0 32.269 * * [simplify]: Extracting #1: cost 4 inf + 0 32.269 * * [simplify]: Extracting #2: cost 5 inf + 1 32.269 * * [simplify]: Extracting #3: cost 7 inf + 1 32.269 * * [simplify]: Extracting #4: cost 1 inf + 368 32.269 * * [simplify]: Extracting #5: cost 0 inf + 490 32.269 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.269 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.270 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.270 * * [simplify]: iters left: 4 (6 enodes) 32.273 * * [simplify]: iters left: 3 (20 enodes) 32.279 * * [simplify]: iters left: 2 (22 enodes) 32.285 * * [simplify]: Extracting #0: cost 1 inf + 0 32.285 * * [simplify]: Extracting #1: cost 4 inf + 0 32.285 * * [simplify]: Extracting #2: cost 5 inf + 1 32.285 * * [simplify]: Extracting #3: cost 7 inf + 1 32.285 * * [simplify]: Extracting #4: cost 1 inf + 368 32.286 * * [simplify]: Extracting #5: cost 0 inf + 490 32.286 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.286 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.286 * * * * [progress]: [ 65 / 188 ] simplifiying candidate # 32.286 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 32.286 * * [simplify]: iters left: 3 (3 enodes) 32.290 * * [simplify]: iters left: 2 (9 enodes) 32.292 * * [simplify]: iters left: 1 (11 enodes) 32.295 * * [simplify]: Extracting #0: cost 1 inf + 0 32.295 * * [simplify]: Extracting #1: cost 0 inf + 1 32.295 * [simplify]: Simplified to 1 32.295 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.296 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 32.296 * * [simplify]: iters left: 3 (5 enodes) 32.300 * * [simplify]: iters left: 2 (17 enodes) 32.305 * * [simplify]: iters left: 1 (19 enodes) 32.311 * * [simplify]: Extracting #0: cost 1 inf + 0 32.311 * * [simplify]: Extracting #1: cost 4 inf + 0 32.311 * * [simplify]: Extracting #2: cost 5 inf + 1 32.311 * * [simplify]: Extracting #3: cost 0 inf + 248 32.311 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.311 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.311 * * * * [progress]: [ 66 / 188 ] simplifiying candidate # 32.311 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.312 * * [simplify]: iters left: 4 (6 enodes) 32.315 * * [simplify]: iters left: 3 (20 enodes) 32.321 * * [simplify]: iters left: 2 (22 enodes) 32.327 * * [simplify]: Extracting #0: cost 1 inf + 0 32.327 * * [simplify]: Extracting #1: cost 4 inf + 0 32.328 * * [simplify]: Extracting #2: cost 5 inf + 1 32.328 * * [simplify]: Extracting #3: cost 7 inf + 1 32.328 * * [simplify]: Extracting #4: cost 1 inf + 368 32.328 * * [simplify]: Extracting #5: cost 0 inf + 490 32.328 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.328 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.328 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.329 * * [simplify]: iters left: 4 (6 enodes) 32.332 * * [simplify]: iters left: 3 (20 enodes) 32.338 * * [simplify]: iters left: 2 (22 enodes) 32.344 * * [simplify]: Extracting #0: cost 1 inf + 0 32.345 * * [simplify]: Extracting #1: cost 4 inf + 0 32.345 * * [simplify]: Extracting #2: cost 5 inf + 1 32.345 * * [simplify]: Extracting #3: cost 7 inf + 1 32.345 * * [simplify]: Extracting #4: cost 1 inf + 368 32.345 * * [simplify]: Extracting #5: cost 0 inf + 490 32.345 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.345 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.345 * * * * [progress]: [ 67 / 188 ] simplifiying candidate # 32.346 * [simplify]: Simplifying (/ (sqrt 1) 1) 32.346 * * [simplify]: iters left: 3 (3 enodes) 32.349 * * [simplify]: iters left: 2 (9 enodes) 32.352 * * [simplify]: iters left: 1 (11 enodes) 32.354 * * [simplify]: Extracting #0: cost 1 inf + 0 32.354 * * [simplify]: Extracting #1: cost 0 inf + 1 32.354 * [simplify]: Simplified to 1 32.354 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.355 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 32.355 * * [simplify]: iters left: 3 (5 enodes) 32.359 * * [simplify]: iters left: 2 (17 enodes) 32.365 * * [simplify]: iters left: 1 (19 enodes) 32.370 * * [simplify]: Extracting #0: cost 1 inf + 0 32.370 * * [simplify]: Extracting #1: cost 4 inf + 0 32.370 * * [simplify]: Extracting #2: cost 5 inf + 1 32.370 * * [simplify]: Extracting #3: cost 0 inf + 248 32.370 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.370 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.371 * * * * [progress]: [ 68 / 188 ] simplifiying candidate # 32.371 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.371 * * [simplify]: iters left: 6 (6 enodes) 32.377 * * [simplify]: iters left: 5 (22 enodes) 32.385 * * [simplify]: iters left: 4 (26 enodes) 32.392 * * [simplify]: Extracting #0: cost 1 inf + 0 32.392 * * [simplify]: Extracting #1: cost 6 inf + 0 32.392 * * [simplify]: Extracting #2: cost 9 inf + 1 32.392 * * [simplify]: Extracting #3: cost 11 inf + 1 32.392 * * [simplify]: Extracting #4: cost 8 inf + 84 32.393 * * [simplify]: Extracting #5: cost 2 inf + 1013 32.393 * * [simplify]: Extracting #6: cost 0 inf + 1376 32.393 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.393 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.394 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 32.394 * * [simplify]: iters left: 4 (5 enodes) 32.397 * * [simplify]: iters left: 3 (17 enodes) 32.402 * * [simplify]: iters left: 2 (19 enodes) 32.405 * * [simplify]: Extracting #0: cost 1 inf + 0 32.405 * * [simplify]: Extracting #1: cost 4 inf + 0 32.405 * * [simplify]: Extracting #2: cost 5 inf + 1 32.405 * * [simplify]: Extracting #3: cost 7 inf + 1 32.405 * * [simplify]: Extracting #4: cost 0 inf + 650 32.405 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 32.405 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.405 * * * * [progress]: [ 69 / 188 ] simplifiying candidate # 32.405 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 32.405 * * [simplify]: iters left: 6 (6 enodes) 32.407 * * [simplify]: iters left: 5 (21 enodes) 32.410 * * [simplify]: iters left: 4 (23 enodes) 32.414 * * [simplify]: Extracting #0: cost 1 inf + 0 32.414 * * [simplify]: Extracting #1: cost 4 inf + 0 32.414 * * [simplify]: Extracting #2: cost 6 inf + 1 32.414 * * [simplify]: Extracting #3: cost 9 inf + 1 32.414 * * [simplify]: Extracting #4: cost 8 inf + 2 32.414 * * [simplify]: Extracting #5: cost 1 inf + 810 32.414 * * [simplify]: Extracting #6: cost 0 inf + 972 32.414 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 32.414 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.414 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 32.414 * * [simplify]: iters left: 4 (5 enodes) 32.416 * * [simplify]: iters left: 3 (17 enodes) 32.418 * * [simplify]: iters left: 2 (19 enodes) 32.421 * * [simplify]: Extracting #0: cost 1 inf + 0 32.421 * * [simplify]: Extracting #1: cost 4 inf + 0 32.421 * * [simplify]: Extracting #2: cost 5 inf + 1 32.421 * * [simplify]: Extracting #3: cost 7 inf + 1 32.421 * * [simplify]: Extracting #4: cost 0 inf + 730 32.421 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 32.421 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.422 * * * * [progress]: [ 70 / 188 ] simplifiying candidate # 32.422 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.422 * * [simplify]: iters left: 4 (5 enodes) 32.423 * * [simplify]: iters left: 3 (17 enodes) 32.426 * * [simplify]: iters left: 2 (19 enodes) 32.428 * * [simplify]: Extracting #0: cost 1 inf + 0 32.428 * * [simplify]: Extracting #1: cost 4 inf + 0 32.428 * * [simplify]: Extracting #2: cost 5 inf + 1 32.428 * * [simplify]: Extracting #3: cost 7 inf + 1 32.429 * * [simplify]: Extracting #4: cost 0 inf + 490 32.429 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.429 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.429 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.429 * * [simplify]: iters left: 4 (5 enodes) 32.431 * * [simplify]: iters left: 3 (17 enodes) 32.436 * * [simplify]: iters left: 2 (19 enodes) 32.442 * * [simplify]: Extracting #0: cost 1 inf + 0 32.442 * * [simplify]: Extracting #1: cost 4 inf + 0 32.442 * * [simplify]: Extracting #2: cost 5 inf + 1 32.442 * * [simplify]: Extracting #3: cost 7 inf + 1 32.442 * * [simplify]: Extracting #4: cost 0 inf + 490 32.442 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.443 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.443 * * * * [progress]: [ 71 / 188 ] simplifiying candidate # 32.443 * [simplify]: Simplifying (/ 1 (sqrt 1)) 32.443 * * [simplify]: iters left: 3 (3 enodes) 32.449 * * [simplify]: iters left: 2 (11 enodes) 32.452 * * [simplify]: iters left: 1 (13 enodes) 32.455 * * [simplify]: Extracting #0: cost 1 inf + 0 32.455 * * [simplify]: Extracting #1: cost 0 inf + 1 32.455 * [simplify]: Simplified to 1 32.455 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.455 * [simplify]: Simplifying (/ 1 (sqrt k)) 32.455 * * [simplify]: iters left: 3 (4 enodes) 32.458 * * [simplify]: iters left: 2 (14 enodes) 32.462 * * [simplify]: iters left: 1 (16 enodes) 32.467 * * [simplify]: Extracting #0: cost 1 inf + 0 32.467 * * [simplify]: Extracting #1: cost 4 inf + 0 32.467 * * [simplify]: Extracting #2: cost 5 inf + 1 32.467 * * [simplify]: Extracting #3: cost 3 inf + 43 32.467 * * [simplify]: Extracting #4: cost 1 inf + 166 32.467 * * [simplify]: Extracting #5: cost 0 inf + 248 32.467 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.467 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.468 * * * * [progress]: [ 72 / 188 ] simplifiying candidate # 32.468 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.468 * * [simplify]: iters left: 4 (5 enodes) 32.470 * * [simplify]: iters left: 3 (17 enodes) 32.476 * * [simplify]: iters left: 2 (19 enodes) 32.481 * * [simplify]: Extracting #0: cost 1 inf + 0 32.481 * * [simplify]: Extracting #1: cost 4 inf + 0 32.481 * * [simplify]: Extracting #2: cost 5 inf + 1 32.481 * * [simplify]: Extracting #3: cost 7 inf + 1 32.482 * * [simplify]: Extracting #4: cost 0 inf + 490 32.482 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.482 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.482 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.482 * * [simplify]: iters left: 4 (5 enodes) 32.485 * * [simplify]: iters left: 3 (17 enodes) 32.491 * * [simplify]: iters left: 2 (19 enodes) 32.496 * * [simplify]: Extracting #0: cost 1 inf + 0 32.496 * * [simplify]: Extracting #1: cost 4 inf + 0 32.497 * * [simplify]: Extracting #2: cost 5 inf + 1 32.497 * * [simplify]: Extracting #3: cost 7 inf + 1 32.497 * * [simplify]: Extracting #4: cost 0 inf + 490 32.497 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.497 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.497 * * * * [progress]: [ 73 / 188 ] simplifiying candidate # 32.498 * [simplify]: Simplifying (/ 1 1) 32.498 * * [simplify]: iters left: 2 (2 enodes) 32.499 * * [simplify]: iters left: 1 (6 enodes) 32.501 * * [simplify]: Extracting #0: cost 1 inf + 0 32.501 * * [simplify]: Extracting #1: cost 0 inf + 1 32.501 * [simplify]: Simplified to 1 32.501 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.502 * [simplify]: Simplifying (/ 1 (sqrt k)) 32.502 * * [simplify]: iters left: 3 (4 enodes) 32.504 * * [simplify]: iters left: 2 (14 enodes) 32.511 * * [simplify]: iters left: 1 (16 enodes) 32.515 * * [simplify]: Extracting #0: cost 1 inf + 0 32.516 * * [simplify]: Extracting #1: cost 4 inf + 0 32.516 * * [simplify]: Extracting #2: cost 5 inf + 1 32.516 * * [simplify]: Extracting #3: cost 3 inf + 43 32.516 * * [simplify]: Extracting #4: cost 1 inf + 166 32.516 * * [simplify]: Extracting #5: cost 0 inf + 248 32.516 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.516 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.516 * * * * [progress]: [ 74 / 188 ] simplifiying candidate # 32.516 * * * * [progress]: [ 75 / 188 ] simplifiying candidate # 32.516 * * * * [progress]: [ 76 / 188 ] simplifiying candidate # 32.516 * * * * [progress]: [ 77 / 188 ] simplifiying candidate # 32.517 * [simplify]: Simplifying (cbrt (sqrt k)) 32.517 * * [simplify]: iters left: 2 (3 enodes) 32.518 * * [simplify]: iters left: 1 (9 enodes) 32.520 * * [simplify]: Extracting #0: cost 1 inf + 0 32.520 * * [simplify]: Extracting #1: cost 3 inf + 0 32.520 * * [simplify]: Extracting #2: cost 5 inf + 0 32.520 * * [simplify]: Extracting #3: cost 4 inf + 1 32.521 * * [simplify]: Extracting #4: cost 0 inf + 325 32.521 * [simplify]: Simplified to (cbrt (sqrt k)) 32.521 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.521 * * * * [progress]: [ 78 / 188 ] simplifiying candidate # 32.521 * [simplify]: Simplifying (sqrt (cbrt k)) 32.521 * * [simplify]: iters left: 2 (3 enodes) 32.523 * * [simplify]: iters left: 1 (9 enodes) 32.525 * * [simplify]: Extracting #0: cost 1 inf + 0 32.525 * * [simplify]: Extracting #1: cost 3 inf + 0 32.525 * * [simplify]: Extracting #2: cost 5 inf + 0 32.525 * * [simplify]: Extracting #3: cost 4 inf + 1 32.525 * * [simplify]: Extracting #4: cost 0 inf + 405 32.525 * [simplify]: Simplified to (sqrt (cbrt k)) 32.525 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.526 * * * * [progress]: [ 79 / 188 ] simplifiying candidate # 32.526 * [simplify]: Simplifying (sqrt (sqrt k)) 32.526 * * [simplify]: iters left: 2 (3 enodes) 32.527 * * [simplify]: iters left: 1 (9 enodes) 32.529 * * [simplify]: Extracting #0: cost 1 inf + 0 32.529 * * [simplify]: Extracting #1: cost 3 inf + 0 32.530 * * [simplify]: Extracting #2: cost 5 inf + 0 32.530 * * [simplify]: Extracting #3: cost 4 inf + 1 32.530 * * [simplify]: Extracting #4: cost 0 inf + 245 32.530 * [simplify]: Simplified to (sqrt (sqrt k)) 32.530 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.530 * * * * [progress]: [ 80 / 188 ] simplifiying candidate # 32.530 * [simplify]: Simplifying (sqrt k) 32.530 * * [simplify]: iters left: 1 (2 enodes) 32.531 * * [simplify]: Extracting #0: cost 1 inf + 0 32.531 * * [simplify]: Extracting #1: cost 3 inf + 0 32.531 * * [simplify]: Extracting #2: cost 2 inf + 1 32.531 * * [simplify]: Extracting #3: cost 0 inf + 83 32.531 * [simplify]: Simplified to (sqrt k) 32.531 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.532 * * * * [progress]: [ 81 / 188 ] simplifiying candidate # 32.532 * [simplify]: Simplifying (sqrt (sqrt k)) 32.532 * * [simplify]: iters left: 2 (3 enodes) 32.533 * * [simplify]: iters left: 1 (9 enodes) 32.535 * * [simplify]: Extracting #0: cost 1 inf + 0 32.535 * * [simplify]: Extracting #1: cost 3 inf + 0 32.536 * * [simplify]: Extracting #2: cost 5 inf + 0 32.536 * * [simplify]: Extracting #3: cost 4 inf + 1 32.536 * * [simplify]: Extracting #4: cost 0 inf + 245 32.536 * [simplify]: Simplified to (sqrt (sqrt k)) 32.536 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.536 * * * * [progress]: [ 82 / 188 ] simplifiying candidate # 32.536 * [simplify]: Simplifying (sqrt k) 32.536 * * [simplify]: iters left: 1 (2 enodes) 32.537 * * [simplify]: Extracting #0: cost 1 inf + 0 32.537 * * [simplify]: Extracting #1: cost 3 inf + 0 32.537 * * [simplify]: Extracting #2: cost 2 inf + 1 32.537 * * [simplify]: Extracting #3: cost 0 inf + 83 32.537 * [simplify]: Simplified to (sqrt k) 32.538 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.538 * * * * [progress]: [ 83 / 188 ] simplifiying candidate # 32.538 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 32.538 * * [simplify]: iters left: 3 (3 enodes) 32.544 * * [simplify]: iters left: 2 (11 enodes) 32.548 * * [simplify]: iters left: 1 (13 enodes) 32.551 * * [simplify]: Extracting #0: cost 1 inf + 0 32.551 * * [simplify]: Extracting #1: cost 0 inf + 1 32.551 * [simplify]: Simplified to 1 32.551 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.551 * * * * [progress]: [ 84 / 188 ] simplifiying candidate # 32.552 * [simplify]: Simplifying (sqrt 1) 32.552 * * [simplify]: iters left: 1 (2 enodes) 32.555 * * [simplify]: Extracting #0: cost 1 inf + 0 32.555 * * [simplify]: Extracting #1: cost 0 inf + 1 32.555 * [simplify]: Simplified to 1 32.555 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.555 * * * * [progress]: [ 85 / 188 ] simplifiying candidate # 32.555 * * * * [progress]: [ 86 / 188 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> 32.555 * * * * [progress]: [ 87 / 188 ] simplifiying candidate # 32.556 * [simplify]: Simplifying (* (* 2 PI) n) 32.556 * * [simplify]: iters left: 4 (5 enodes) 32.559 * * [simplify]: iters left: 3 (19 enodes) 32.565 * * [simplify]: iters left: 2 (27 enodes) 32.569 * * [simplify]: iters left: 1 (32 enodes) 32.573 * * [simplify]: Extracting #0: cost 1 inf + 0 32.573 * * [simplify]: Extracting #1: cost 8 inf + 0 32.573 * * [simplify]: Extracting #2: cost 7 inf + 45 32.574 * * [simplify]: Extracting #3: cost 0 inf + 421 32.574 * [simplify]: Simplified to (* (* 2 PI) n) 32.574 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 32.574 * * * * [progress]: [ 88 / 188 ] simplifiying candidate # 32.574 * [simplify]: Simplifying (* (* 2 PI) n) 32.574 * * [simplify]: iters left: 4 (5 enodes) 32.575 * * [simplify]: iters left: 3 (19 enodes) 32.578 * * [simplify]: iters left: 2 (27 enodes) 32.582 * * [simplify]: iters left: 1 (32 enodes) 32.587 * * [simplify]: Extracting #0: cost 1 inf + 0 32.587 * * [simplify]: Extracting #1: cost 8 inf + 0 32.587 * * [simplify]: Extracting #2: cost 7 inf + 45 32.587 * * [simplify]: Extracting #3: cost 0 inf + 421 32.587 * [simplify]: Simplified to (* (* 2 PI) n) 32.587 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 32.587 * * * * [progress]: [ 89 / 188 ] simplifiying candidate # 32.587 * * * * [progress]: [ 90 / 188 ] simplifiying candidate # 32.587 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 32.587 * * [simplify]: iters left: 5 (8 enodes) 32.590 * * [simplify]: iters left: 4 (28 enodes) 32.594 * * [simplify]: iters left: 3 (36 enodes) 32.599 * * [simplify]: iters left: 2 (42 enodes) 32.605 * * [simplify]: Extracting #0: cost 1 inf + 0 32.605 * * [simplify]: Extracting #1: cost 8 inf + 0 32.605 * * [simplify]: Extracting #2: cost 17 inf + 0 32.605 * * [simplify]: Extracting #3: cost 13 inf + 74 32.605 * * [simplify]: Extracting #4: cost 6 inf + 1015 32.605 * * [simplify]: Extracting #5: cost 0 inf + 2107 32.606 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 32.606 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 32.606 * * * * [progress]: [ 91 / 188 ] simplifiying candidate # 32.606 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 32.606 * * [simplify]: iters left: 5 (7 enodes) 32.608 * * [simplify]: iters left: 4 (26 enodes) 32.612 * * [simplify]: iters left: 3 (35 enodes) 32.617 * * [simplify]: iters left: 2 (44 enodes) 32.624 * * [simplify]: Extracting #0: cost 1 inf + 0 32.624 * * [simplify]: Extracting #1: cost 8 inf + 0 32.625 * * [simplify]: Extracting #2: cost 18 inf + 0 32.625 * * [simplify]: Extracting #3: cost 15 inf + 74 32.625 * * [simplify]: Extracting #4: cost 6 inf + 918 32.625 * * [simplify]: Extracting #5: cost 0 inf + 1911 32.625 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 32.625 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 32.625 * * * * [progress]: [ 92 / 188 ] simplifiying candidate # 32.626 * * * * [progress]: [ 93 / 188 ] simplifiying candidate # 32.626 * * * * [progress]: [ 94 / 188 ] simplifiying candidate # 32.626 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 32.626 * * [simplify]: iters left: 6 (11 enodes) 32.632 * * [simplify]: iters left: 5 (47 enodes) 32.653 * * [simplify]: iters left: 4 (115 enodes) 32.704 * * [simplify]: iters left: 3 (384 enodes) 33.049 * * [simplify]: Extracting #0: cost 1 inf + 0 33.049 * * [simplify]: Extracting #1: cost 102 inf + 0 33.051 * * [simplify]: Extracting #2: cost 263 inf + 1026 33.062 * * [simplify]: Extracting #3: cost 88 inf + 24284 33.080 * * [simplify]: Extracting #4: cost 2 inf + 40704 33.089 * * [simplify]: Extracting #5: cost 0 inf + 41008 33.099 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 33.099 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))) 33.099 * * * * [progress]: [ 95 / 188 ] simplifiying candidate # 33.099 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 33.099 * * [simplify]: iters left: 6 (9 enodes) 33.103 * * [simplify]: iters left: 5 (45 enodes) 33.120 * * [simplify]: iters left: 4 (116 enodes) 33.183 * * [simplify]: iters left: 3 (371 enodes) 33.537 * * [simplify]: Extracting #0: cost 1 inf + 0 33.538 * * [simplify]: Extracting #1: cost 82 inf + 0 33.539 * * [simplify]: Extracting #2: cost 200 inf + 498 33.542 * * [simplify]: Extracting #3: cost 121 inf + 10421 33.551 * * [simplify]: Extracting #4: cost 5 inf + 33505 33.567 * * [simplify]: Extracting #5: cost 0 inf + 33849 33.587 * * [simplify]: Extracting #6: cost 0 inf + 33809 33.606 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 33.606 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))) 33.606 * * * * [progress]: [ 96 / 188 ] simplifiying candidate # 33.606 * * * * [progress]: [ 97 / 188 ] simplifiying candidate # 33.606 * * * * [progress]: [ 98 / 188 ] simplifiying candidate # 33.606 * * * * [progress]: [ 99 / 188 ] simplifiying candidate # 33.606 * * * * [progress]: [ 100 / 188 ] simplifiying candidate # 33.607 * [simplify]: Simplifying (cbrt n) 33.607 * * [simplify]: iters left: 1 (2 enodes) 33.607 * * [simplify]: Extracting #0: cost 1 inf + 0 33.608 * * [simplify]: Extracting #1: cost 3 inf + 0 33.608 * * [simplify]: Extracting #2: cost 2 inf + 1 33.608 * * [simplify]: Extracting #3: cost 0 inf + 163 33.608 * [simplify]: Simplified to (cbrt n) 33.608 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) 33.608 * * * * [progress]: [ 101 / 188 ] simplifiying candidate # 33.608 * [simplify]: Simplifying (sqrt n) 33.608 * * [simplify]: iters left: 1 (2 enodes) 33.609 * * [simplify]: Extracting #0: cost 1 inf + 0 33.609 * * [simplify]: Extracting #1: cost 3 inf + 0 33.609 * * [simplify]: Extracting #2: cost 2 inf + 1 33.609 * * [simplify]: Extracting #3: cost 0 inf + 83 33.609 * [simplify]: Simplified to (sqrt n) 33.609 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 33.609 * * * * [progress]: [ 102 / 188 ] simplifiying candidate # 33.609 * * * * [progress]: [ 103 / 188 ] simplifiying candidate # 33.610 * * * * [progress]: [ 104 / 188 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 33.610 * * * * [progress]: [ 105 / 188 ] simplifiying candidate # 33.610 * * * * [progress]: [ 106 / 188 ] simplifiying candidate # 33.610 * * * * [progress]: [ 107 / 188 ] simplifiying candidate # 33.610 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 33.610 * * [simplify]: iters left: 6 (17 enodes) 33.619 * * [simplify]: iters left: 5 (67 enodes) 33.640 * * [simplify]: iters left: 4 (111 enodes) 33.674 * * [simplify]: iters left: 3 (297 enodes) 33.788 * * [simplify]: Extracting #0: cost 1 inf + 0 33.788 * * [simplify]: Extracting #1: cost 33 inf + 0 33.788 * * [simplify]: Extracting #2: cost 87 inf + 0 33.789 * * [simplify]: Extracting #3: cost 150 inf + 73 33.789 * * [simplify]: Extracting #4: cost 166 inf + 857 33.792 * * [simplify]: Extracting #5: cost 94 inf + 17702 33.800 * * [simplify]: Extracting #6: cost 6 inf + 46007 33.815 * * [simplify]: Extracting #7: cost 0 inf + 48738 33.832 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))) 33.832 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))))) 33.832 * * * * [progress]: [ 108 / 188 ] simplifiying candidate # 33.833 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 33.833 * * [simplify]: iters left: 6 (16 enodes) 33.842 * * [simplify]: iters left: 5 (65 enodes) 33.867 * * [simplify]: iters left: 4 (104 enodes) 33.904 * * [simplify]: iters left: 3 (239 enodes) 33.995 * * [simplify]: Extracting #0: cost 1 inf + 0 33.995 * * [simplify]: Extracting #1: cost 27 inf + 0 33.995 * * [simplify]: Extracting #2: cost 74 inf + 0 33.996 * * [simplify]: Extracting #3: cost 128 inf + 2 33.997 * * [simplify]: Extracting #4: cost 142 inf + 759 34.001 * * [simplify]: Extracting #5: cost 73 inf + 12705 34.012 * * [simplify]: Extracting #6: cost 11 inf + 32489 34.026 * * [simplify]: Extracting #7: cost 1 inf + 36150 34.039 * * [simplify]: Extracting #8: cost 0 inf + 36684 34.046 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))) 34.046 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))))) 34.046 * * * * [progress]: [ 109 / 188 ] simplifiying candidate # 34.046 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 34.047 * * [simplify]: iters left: 6 (15 enodes) 34.051 * * [simplify]: iters left: 5 (64 enodes) 34.062 * * [simplify]: iters left: 4 (111 enodes) 34.100 * * [simplify]: iters left: 3 (223 enodes) 34.181 * * [simplify]: Extracting #0: cost 1 inf + 0 34.181 * * [simplify]: Extracting #1: cost 19 inf + 0 34.181 * * [simplify]: Extracting #2: cost 65 inf + 0 34.181 * * [simplify]: Extracting #3: cost 121 inf + 2 34.182 * * [simplify]: Extracting #4: cost 142 inf + 741 34.184 * * [simplify]: Extracting #5: cost 72 inf + 12707 34.189 * * [simplify]: Extracting #6: cost 6 inf + 29228 34.199 * * [simplify]: Extracting #7: cost 1 inf + 30319 34.205 * * [simplify]: Extracting #8: cost 0 inf + 30744 34.212 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 34.212 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 34.212 * * * * [progress]: [ 110 / 188 ] simplifiying candidate # 34.212 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 34.212 * * [simplify]: iters left: 6 (15 enodes) 34.216 * * [simplify]: iters left: 5 (64 enodes) 34.227 * * [simplify]: iters left: 4 (111 enodes) 34.245 * * [simplify]: iters left: 3 (223 enodes) 34.341 * * [simplify]: Extracting #0: cost 1 inf + 0 34.341 * * [simplify]: Extracting #1: cost 19 inf + 0 34.342 * * [simplify]: Extracting #2: cost 65 inf + 0 34.342 * * [simplify]: Extracting #3: cost 121 inf + 2 34.343 * * [simplify]: Extracting #4: cost 142 inf + 741 34.345 * * [simplify]: Extracting #5: cost 72 inf + 12707 34.350 * * [simplify]: Extracting #6: cost 6 inf + 29228 34.357 * * [simplify]: Extracting #7: cost 1 inf + 30319 34.363 * * [simplify]: Extracting #8: cost 0 inf + 30744 34.373 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 34.373 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 34.374 * * * * [progress]: [ 111 / 188 ] simplifiying candidate # 34.374 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 34.374 * * [simplify]: iters left: 6 (15 enodes) 34.383 * * [simplify]: iters left: 5 (63 enodes) 34.408 * * [simplify]: iters left: 4 (107 enodes) 34.444 * * [simplify]: iters left: 3 (215 enodes) 34.504 * * [simplify]: Extracting #0: cost 1 inf + 0 34.504 * * [simplify]: Extracting #1: cost 20 inf + 0 34.504 * * [simplify]: Extracting #2: cost 95 inf + 0 34.505 * * [simplify]: Extracting #3: cost 169 inf + 2 34.506 * * [simplify]: Extracting #4: cost 176 inf + 579 34.512 * * [simplify]: Extracting #5: cost 115 inf + 10248 34.517 * * [simplify]: Extracting #6: cost 21 inf + 33876 34.523 * * [simplify]: Extracting #7: cost 0 inf + 40717 34.530 * * [simplify]: Extracting #8: cost 0 inf + 40597 34.537 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))) (log (sqrt k))) 34.537 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))) (log (sqrt k))))) 34.537 * * * * [progress]: [ 112 / 188 ] simplifiying candidate # 34.537 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 34.538 * * [simplify]: iters left: 6 (18 enodes) 34.544 * * [simplify]: iters left: 5 (73 enodes) 34.568 * * [simplify]: iters left: 4 (128 enodes) 34.600 * * [simplify]: iters left: 3 (376 enodes) 34.750 * * [simplify]: Extracting #0: cost 1 inf + 0 34.750 * * [simplify]: Extracting #1: cost 46 inf + 0 34.750 * * [simplify]: Extracting #2: cost 174 inf + 1 34.751 * * [simplify]: Extracting #3: cost 249 inf + 74 34.753 * * [simplify]: Extracting #4: cost 230 inf + 8323 34.765 * * [simplify]: Extracting #5: cost 63 inf + 59342 34.787 * * [simplify]: Extracting #6: cost 1 inf + 81574 34.819 * * [simplify]: Extracting #7: cost 0 inf + 82024 34.850 * * [simplify]: Extracting #8: cost 0 inf + 82023 34.877 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 34.877 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 34.878 * * * * [progress]: [ 113 / 188 ] simplifiying candidate # 34.878 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 34.878 * * [simplify]: iters left: 6 (17 enodes) 34.883 * * [simplify]: iters left: 5 (71 enodes) 34.897 * * [simplify]: iters left: 4 (121 enodes) 34.938 * * [simplify]: iters left: 3 (302 enodes) 35.075 * * [simplify]: Extracting #0: cost 1 inf + 0 35.075 * * [simplify]: Extracting #1: cost 37 inf + 0 35.075 * * [simplify]: Extracting #2: cost 145 inf + 1 35.076 * * [simplify]: Extracting #3: cost 215 inf + 3 35.077 * * [simplify]: Extracting #4: cost 201 inf + 6020 35.088 * * [simplify]: Extracting #5: cost 35 inf + 50552 35.107 * * [simplify]: Extracting #6: cost 0 inf + 62673 35.131 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 35.131 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 35.131 * * * * [progress]: [ 114 / 188 ] simplifiying candidate # 35.132 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 35.132 * * [simplify]: iters left: 6 (16 enodes) 35.141 * * [simplify]: iters left: 5 (70 enodes) 35.153 * * [simplify]: iters left: 4 (128 enodes) 35.180 * * [simplify]: iters left: 3 (276 enodes) 35.285 * * [simplify]: Extracting #0: cost 1 inf + 0 35.285 * * [simplify]: Extracting #1: cost 27 inf + 0 35.285 * * [simplify]: Extracting #2: cost 116 inf + 1 35.286 * * [simplify]: Extracting #3: cost 190 inf + 3 35.288 * * [simplify]: Extracting #4: cost 184 inf + 4125 35.296 * * [simplify]: Extracting #5: cost 63 inf + 31414 35.305 * * [simplify]: Extracting #6: cost 4 inf + 47655 35.315 * * [simplify]: Extracting #7: cost 0 inf + 48696 35.325 * * [simplify]: Extracting #8: cost 0 inf + 48688 35.341 * * [simplify]: Extracting #9: cost 0 inf + 48686 35.360 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 35.360 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 35.360 * * * * [progress]: [ 115 / 188 ] simplifiying candidate # 35.360 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 35.361 * * [simplify]: iters left: 6 (16 enodes) 35.369 * * [simplify]: iters left: 5 (70 enodes) 35.395 * * [simplify]: iters left: 4 (128 enodes) 35.438 * * [simplify]: iters left: 3 (276 enodes) 35.527 * * [simplify]: Extracting #0: cost 1 inf + 0 35.528 * * [simplify]: Extracting #1: cost 27 inf + 0 35.528 * * [simplify]: Extracting #2: cost 116 inf + 1 35.528 * * [simplify]: Extracting #3: cost 190 inf + 3 35.530 * * [simplify]: Extracting #4: cost 184 inf + 4125 35.535 * * [simplify]: Extracting #5: cost 63 inf + 31414 35.544 * * [simplify]: Extracting #6: cost 4 inf + 47655 35.555 * * [simplify]: Extracting #7: cost 0 inf + 48696 35.579 * * [simplify]: Extracting #8: cost 0 inf + 48688 35.594 * * [simplify]: Extracting #9: cost 0 inf + 48686 35.604 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 35.604 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 35.604 * * * * [progress]: [ 116 / 188 ] simplifiying candidate # 35.605 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 35.605 * * [simplify]: iters left: 6 (16 enodes) 35.610 * * [simplify]: iters left: 5 (69 enodes) 35.624 * * [simplify]: iters left: 4 (124 enodes) 35.667 * * [simplify]: iters left: 3 (259 enodes) 35.771 * * [simplify]: Extracting #0: cost 1 inf + 0 35.771 * * [simplify]: Extracting #1: cost 27 inf + 0 35.771 * * [simplify]: Extracting #2: cost 145 inf + 1 35.772 * * [simplify]: Extracting #3: cost 234 inf + 3 35.773 * * [simplify]: Extracting #4: cost 227 inf + 2046 35.779 * * [simplify]: Extracting #5: cost 143 inf + 17826 35.786 * * [simplify]: Extracting #6: cost 50 inf + 43416 35.796 * * [simplify]: Extracting #7: cost 0 inf + 57654 35.810 * * [simplify]: Extracting #8: cost 0 inf + 57614 35.821 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k))) 35.821 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k))))) 35.821 * * * * [progress]: [ 117 / 188 ] simplifiying candidate # 35.821 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 35.821 * * [simplify]: iters left: 6 (18 enodes) 35.827 * * [simplify]: iters left: 5 (74 enodes) 35.842 * * [simplify]: iters left: 4 (123 enodes) 35.887 * * [simplify]: iters left: 3 (352 enodes) 36.066 * * [simplify]: Extracting #0: cost 1 inf + 0 36.066 * * [simplify]: Extracting #1: cost 44 inf + 0 36.066 * * [simplify]: Extracting #2: cost 169 inf + 1 36.067 * * [simplify]: Extracting #3: cost 243 inf + 74 36.068 * * [simplify]: Extracting #4: cost 252 inf + 1557 36.071 * * [simplify]: Extracting #5: cost 186 inf + 15412 36.085 * * [simplify]: Extracting #6: cost 49 inf + 60900 36.106 * * [simplify]: Extracting #7: cost 4 inf + 78429 36.120 * * [simplify]: Extracting #8: cost 0 inf + 80185 36.145 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 36.145 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 36.145 * * * * [progress]: [ 118 / 188 ] simplifiying candidate # 36.146 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 36.146 * * [simplify]: iters left: 6 (17 enodes) 36.156 * * [simplify]: iters left: 5 (72 enodes) 36.178 * * [simplify]: iters left: 4 (116 enodes) 36.203 * * [simplify]: iters left: 3 (286 enodes) 36.331 * * [simplify]: Extracting #0: cost 1 inf + 0 36.331 * * [simplify]: Extracting #1: cost 36 inf + 0 36.332 * * [simplify]: Extracting #2: cost 139 inf + 1 36.332 * * [simplify]: Extracting #3: cost 209 inf + 3 36.334 * * [simplify]: Extracting #4: cost 196 inf + 6399 36.341 * * [simplify]: Extracting #5: cost 54 inf + 42664 36.352 * * [simplify]: Extracting #6: cost 1 inf + 60164 36.370 * * [simplify]: Extracting #7: cost 0 inf + 60309 36.391 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))) 36.394 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))))) 36.394 * * * * [progress]: [ 119 / 188 ] simplifiying candidate # 36.394 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 36.395 * * [simplify]: iters left: 6 (16 enodes) 36.399 * * [simplify]: iters left: 5 (71 enodes) 36.412 * * [simplify]: iters left: 4 (123 enodes) 36.446 * * [simplify]: iters left: 3 (269 enodes) 36.525 * * [simplify]: Extracting #0: cost 1 inf + 0 36.526 * * [simplify]: Extracting #1: cost 27 inf + 0 36.526 * * [simplify]: Extracting #2: cost 116 inf + 1 36.527 * * [simplify]: Extracting #3: cost 190 inf + 3 36.530 * * [simplify]: Extracting #4: cost 179 inf + 5800 36.543 * * [simplify]: Extracting #5: cost 40 inf + 37465 36.562 * * [simplify]: Extracting #6: cost 0 inf + 48625 36.582 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 36.583 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 36.583 * * * * [progress]: [ 120 / 188 ] simplifiying candidate # 36.583 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 36.583 * * [simplify]: iters left: 6 (16 enodes) 36.597 * * [simplify]: iters left: 5 (71 enodes) 36.621 * * [simplify]: iters left: 4 (123 enodes) 36.665 * * [simplify]: iters left: 3 (269 enodes) 36.798 * * [simplify]: Extracting #0: cost 1 inf + 0 36.798 * * [simplify]: Extracting #1: cost 27 inf + 0 36.799 * * [simplify]: Extracting #2: cost 116 inf + 1 36.800 * * [simplify]: Extracting #3: cost 190 inf + 3 36.803 * * [simplify]: Extracting #4: cost 179 inf + 5800 36.815 * * [simplify]: Extracting #5: cost 40 inf + 37465 36.830 * * [simplify]: Extracting #6: cost 0 inf + 48625 36.840 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 36.840 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 36.840 * * * * [progress]: [ 121 / 188 ] simplifiying candidate # 36.840 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 36.841 * * [simplify]: iters left: 6 (16 enodes) 36.848 * * [simplify]: iters left: 5 (70 enodes) 36.861 * * [simplify]: iters left: 4 (119 enodes) 36.903 * * [simplify]: iters left: 3 (255 enodes) 37.004 * * [simplify]: Extracting #0: cost 1 inf + 0 37.004 * * [simplify]: Extracting #1: cost 28 inf + 0 37.005 * * [simplify]: Extracting #2: cost 145 inf + 1 37.006 * * [simplify]: Extracting #3: cost 234 inf + 3 37.008 * * [simplify]: Extracting #4: cost 225 inf + 2146 37.014 * * [simplify]: Extracting #5: cost 134 inf + 19971 37.029 * * [simplify]: Extracting #6: cost 36 inf + 44913 37.045 * * [simplify]: Extracting #7: cost 0 inf + 58023 37.055 * * [simplify]: Extracting #8: cost 0 inf + 57823 37.069 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))) 37.069 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))))) 37.069 * * * * [progress]: [ 122 / 188 ] simplifiying candidate # 37.069 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 37.070 * * [simplify]: iters left: 6 (17 enodes) 37.075 * * [simplify]: iters left: 5 (71 enodes) 37.086 * * [simplify]: iters left: 4 (117 enodes) 37.126 * * [simplify]: iters left: 3 (308 enodes) 37.274 * * [simplify]: Extracting #0: cost 1 inf + 0 37.274 * * [simplify]: Extracting #1: cost 36 inf + 0 37.275 * * [simplify]: Extracting #2: cost 109 inf + 1 37.275 * * [simplify]: Extracting #3: cost 168 inf + 74 37.276 * * [simplify]: Extracting #4: cost 180 inf + 1235 37.279 * * [simplify]: Extracting #5: cost 98 inf + 21050 37.289 * * [simplify]: Extracting #6: cost 6 inf + 53801 37.306 * * [simplify]: Extracting #7: cost 0 inf + 55704 37.327 * [simplify]: Simplified to (- (/ (- (+ (+ (log PI) (log n)) (log 2)) (* k (+ (+ (log PI) (log n)) (log 2)))) 2) (log (sqrt k))) 37.327 * [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))))) 37.327 * * * * [progress]: [ 123 / 188 ] simplifiying candidate # 37.327 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 37.328 * * [simplify]: iters left: 6 (16 enodes) 37.337 * * [simplify]: iters left: 5 (69 enodes) 37.358 * * [simplify]: iters left: 4 (110 enodes) 37.396 * * [simplify]: iters left: 3 (249 enodes) 37.478 * * [simplify]: Extracting #0: cost 1 inf + 0 37.478 * * [simplify]: Extracting #1: cost 29 inf + 0 37.478 * * [simplify]: Extracting #2: cost 89 inf + 1 37.479 * * [simplify]: Extracting #3: cost 144 inf + 3 37.479 * * [simplify]: Extracting #4: cost 163 inf + 464 37.481 * * [simplify]: Extracting #5: cost 105 inf + 8181 37.487 * * [simplify]: Extracting #6: cost 14 inf + 37863 37.495 * * [simplify]: Extracting #7: cost 1 inf + 41636 37.510 * * [simplify]: Extracting #8: cost 0 inf + 41977 37.526 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 37.527 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 37.527 * * * * [progress]: [ 124 / 188 ] simplifiying candidate # 37.527 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 37.528 * * [simplify]: iters left: 6 (15 enodes) 37.536 * * [simplify]: iters left: 5 (68 enodes) 37.556 * * [simplify]: iters left: 4 (117 enodes) 37.575 * * [simplify]: iters left: 3 (233 enodes) 37.671 * * [simplify]: Extracting #0: cost 1 inf + 0 37.671 * * [simplify]: Extracting #1: cost 21 inf + 0 37.671 * * [simplify]: Extracting #2: cost 77 inf + 1 37.672 * * [simplify]: Extracting #3: cost 133 inf + 74 37.673 * * [simplify]: Extracting #4: cost 151 inf + 995 37.677 * * [simplify]: Extracting #5: cost 77 inf + 13831 37.689 * * [simplify]: Extracting #6: cost 6 inf + 31822 37.702 * * [simplify]: Extracting #7: cost 0 inf + 34387 37.716 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 37.716 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 37.716 * * * * [progress]: [ 125 / 188 ] simplifiying candidate # 37.717 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 37.717 * * [simplify]: iters left: 6 (15 enodes) 37.726 * * [simplify]: iters left: 5 (68 enodes) 37.751 * * [simplify]: iters left: 4 (117 enodes) 37.772 * * [simplify]: iters left: 3 (233 enodes) 37.845 * * [simplify]: Extracting #0: cost 1 inf + 0 37.845 * * [simplify]: Extracting #1: cost 21 inf + 0 37.845 * * [simplify]: Extracting #2: cost 77 inf + 1 37.846 * * [simplify]: Extracting #3: cost 133 inf + 74 37.846 * * [simplify]: Extracting #4: cost 151 inf + 995 37.848 * * [simplify]: Extracting #5: cost 77 inf + 13831 37.858 * * [simplify]: Extracting #6: cost 6 inf + 31822 37.873 * * [simplify]: Extracting #7: cost 0 inf + 34387 37.884 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 37.884 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 37.884 * * * * [progress]: [ 126 / 188 ] simplifiying candidate # 37.885 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 37.885 * * [simplify]: iters left: 6 (15 enodes) 37.889 * * [simplify]: iters left: 5 (67 enodes) 37.900 * * [simplify]: iters left: 4 (117 enodes) 37.919 * * [simplify]: iters left: 3 (224 enodes) 37.985 * * [simplify]: Extracting #0: cost 1 inf + 0 37.985 * * [simplify]: Extracting #1: cost 22 inf + 0 37.985 * * [simplify]: Extracting #2: cost 106 inf + 1 37.986 * * [simplify]: Extracting #3: cost 179 inf + 74 37.987 * * [simplify]: Extracting #4: cost 179 inf + 1141 37.990 * * [simplify]: Extracting #5: cost 125 inf + 10759 38.001 * * [simplify]: Extracting #6: cost 29 inf + 38783 38.015 * * [simplify]: Extracting #7: cost 1 inf + 44007 38.033 * * [simplify]: Extracting #8: cost 0 inf + 44283 38.048 * [simplify]: Simplified to (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))) 38.049 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 38.049 * * * * [progress]: [ 127 / 188 ] simplifiying candidate # 38.049 * * * * [progress]: [ 128 / 188 ] simplifiying candidate # 38.049 * * * * [progress]: [ 129 / 188 ] simplifiying candidate # 38.049 * [simplify]: Simplifying (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 38.049 * * [simplify]: iters left: 6 (19 enodes) 38.060 * * [simplify]: iters left: 5 (80 enodes) 38.087 * * [simplify]: iters left: 4 (188 enodes) 38.166 * * [simplify]: Extracting #0: cost 1 inf + 0 38.166 * * [simplify]: Extracting #1: cost 52 inf + 0 38.167 * * [simplify]: Extracting #2: cost 152 inf + 248 38.168 * * [simplify]: Extracting #3: cost 161 inf + 1681 38.169 * * [simplify]: Extracting #4: cost 148 inf + 2885 38.172 * * [simplify]: Extracting #5: cost 100 inf + 19336 38.184 * * [simplify]: Extracting #6: cost 2 inf + 75093 38.201 * * [simplify]: Extracting #7: cost 0 inf + 75063 38.214 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))) 38.214 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))))) 38.214 * * * * [progress]: [ 130 / 188 ] simplifiying candidate # 38.215 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 38.215 * * [simplify]: iters left: 6 (17 enodes) 38.220 * * [simplify]: iters left: 5 (81 enodes) 38.249 * * [simplify]: iters left: 4 (170 enodes) 38.312 * * [simplify]: iters left: 3 (476 enodes) 38.630 * * [simplify]: Extracting #0: cost 1 inf + 0 38.631 * * [simplify]: Extracting #1: cost 91 inf + 0 38.633 * * [simplify]: Extracting #2: cost 417 inf + 3 38.637 * * [simplify]: Extracting #3: cost 448 inf + 952 38.641 * * [simplify]: Extracting #4: cost 416 inf + 4772 38.654 * * [simplify]: Extracting #5: cost 331 inf + 49541 38.686 * * [simplify]: Extracting #6: cost 64 inf + 238599 38.748 * * [simplify]: Extracting #7: cost 0 inf + 283122 38.802 * * [simplify]: Extracting #8: cost 0 inf + 280464 38.894 * * [simplify]: Extracting #9: cost 0 inf + 280424 38.961 * [simplify]: Simplified to (* (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (* k (sqrt k))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4)))) 38.961 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (* k (sqrt k))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4)))))) 38.961 * * * * [progress]: [ 131 / 188 ] simplifiying candidate # 38.962 * * * * [progress]: [ 132 / 188 ] simplifiying candidate # 38.962 * * * * [progress]: [ 133 / 188 ] simplifiying candidate # 38.962 * * * * [progress]: [ 134 / 188 ] simplifiying candidate # 38.962 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2))) 38.962 * * [simplify]: iters left: 6 (9 enodes) 38.969 * * [simplify]: iters left: 5 (37 enodes) 38.983 * * [simplify]: iters left: 4 (66 enodes) 39.010 * * [simplify]: iters left: 3 (105 enodes) 39.046 * * [simplify]: iters left: 2 (164 enodes) 39.085 * * [simplify]: iters left: 1 (292 enodes) 39.191 * * [simplify]: Extracting #0: cost 1 inf + 0 39.192 * * [simplify]: Extracting #1: cost 18 inf + 0 39.192 * * [simplify]: Extracting #2: cost 64 inf + 3 39.192 * * [simplify]: Extracting #3: cost 68 inf + 53 39.193 * * [simplify]: Extracting #4: cost 55 inf + 2111 39.194 * * [simplify]: Extracting #5: cost 21 inf + 17969 39.199 * * [simplify]: Extracting #6: cost 0 inf + 32739 39.203 * * [simplify]: Extracting #7: cost 0 inf + 32659 39.207 * [simplify]: Simplified to (sqrt (* PI (* 2 n))) 39.207 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))))) 39.207 * [simplify]: Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))) 39.207 * * [simplify]: iters left: 6 (10 enodes) 39.210 * * [simplify]: iters left: 5 (38 enodes) 39.216 * * [simplify]: iters left: 4 (62 enodes) 39.232 * * [simplify]: iters left: 3 (104 enodes) 39.251 * * [simplify]: iters left: 2 (205 enodes) 39.324 * * [simplify]: iters left: 1 (464 enodes) 39.601 * * [simplify]: Extracting #0: cost 1 inf + 0 39.601 * * [simplify]: Extracting #1: cost 47 inf + 0 39.602 * * [simplify]: Extracting #2: cost 169 inf + 0 39.604 * * [simplify]: Extracting #3: cost 207 inf + 87 39.607 * * [simplify]: Extracting #4: cost 170 inf + 6541 39.618 * * [simplify]: Extracting #5: cost 78 inf + 60938 39.638 * * [simplify]: Extracting #6: cost 4 inf + 129528 39.672 * * [simplify]: Extracting #7: cost 0 inf + 129330 39.698 * * [simplify]: Extracting #8: cost 0 inf + 127557 39.733 * * [simplify]: Extracting #9: cost 0 inf + 127427 39.753 * [simplify]: Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)) 39.753 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)))) 39.753 * * * * [progress]: [ 135 / 188 ] simplifiying candidate # 39.753 * * * * [progress]: [ 136 / 188 ] simplifiying candidate # 39.753 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 39.754 * * [simplify]: iters left: 6 (15 enodes) 39.762 * * [simplify]: iters left: 5 (61 enodes) 39.781 * * [simplify]: iters left: 4 (91 enodes) 39.810 * * [simplify]: iters left: 3 (129 enodes) 39.836 * * [simplify]: iters left: 2 (215 enodes) 39.910 * * [simplify]: iters left: 1 (375 enodes) 40.064 * * [simplify]: Extracting #0: cost 1 inf + 0 40.064 * * [simplify]: Extracting #1: cost 4 inf + 0 40.064 * * [simplify]: Extracting #2: cost 9 inf + 0 40.065 * * [simplify]: Extracting #3: cost 39 inf + 0 40.065 * * [simplify]: Extracting #4: cost 118 inf + 2 40.065 * * [simplify]: Extracting #5: cost 138 inf + 713 40.067 * * [simplify]: Extracting #6: cost 87 inf + 9065 40.073 * * [simplify]: Extracting #7: cost 12 inf + 46205 40.083 * * [simplify]: Extracting #8: cost 0 inf + 55733 40.098 * * [simplify]: Extracting #9: cost 0 inf + 54639 40.117 * * [simplify]: Extracting #10: cost 0 inf + 54558 40.137 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 40.137 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.137 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 40.138 * * [simplify]: iters left: 6 (15 enodes) 40.142 * * [simplify]: iters left: 5 (61 enodes) 40.155 * * [simplify]: iters left: 4 (91 enodes) 40.171 * * [simplify]: iters left: 3 (129 enodes) 40.199 * * [simplify]: iters left: 2 (215 enodes) 40.263 * * [simplify]: iters left: 1 (375 enodes) 40.394 * * [simplify]: Extracting #0: cost 1 inf + 0 40.394 * * [simplify]: Extracting #1: cost 4 inf + 0 40.394 * * [simplify]: Extracting #2: cost 9 inf + 0 40.394 * * [simplify]: Extracting #3: cost 39 inf + 0 40.395 * * [simplify]: Extracting #4: cost 118 inf + 2 40.396 * * [simplify]: Extracting #5: cost 138 inf + 713 40.398 * * [simplify]: Extracting #6: cost 87 inf + 9065 40.405 * * [simplify]: Extracting #7: cost 12 inf + 46205 40.414 * * [simplify]: Extracting #8: cost 0 inf + 55733 40.428 * * [simplify]: Extracting #9: cost 0 inf + 54639 40.451 * * [simplify]: Extracting #10: cost 0 inf + 54558 40.461 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 40.461 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))))) 40.461 * * * * [progress]: [ 137 / 188 ] simplifiying candidate # 40.461 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 40.461 * * [simplify]: iters left: 6 (15 enodes) 40.466 * * [simplify]: iters left: 5 (64 enodes) 40.476 * * [simplify]: iters left: 4 (101 enodes) 40.502 * * [simplify]: iters left: 3 (160 enodes) 40.558 * * [simplify]: iters left: 2 (299 enodes) 40.655 * * [simplify]: Extracting #0: cost 1 inf + 0 40.655 * * [simplify]: Extracting #1: cost 34 inf + 0 40.655 * * [simplify]: Extracting #2: cost 102 inf + 0 40.656 * * [simplify]: Extracting #3: cost 155 inf + 2 40.657 * * [simplify]: Extracting #4: cost 168 inf + 139 40.659 * * [simplify]: Extracting #5: cost 136 inf + 4159 40.664 * * [simplify]: Extracting #6: cost 78 inf + 13897 40.672 * * [simplify]: Extracting #7: cost 16 inf + 59233 40.683 * * [simplify]: Extracting #8: cost 0 inf + 73111 40.695 * * [simplify]: Extracting #9: cost 0 inf + 73021 40.713 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 40.713 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 40.714 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 40.714 * * [simplify]: iters left: 6 (15 enodes) 40.718 * * [simplify]: iters left: 5 (64 enodes) 40.740 * * [simplify]: iters left: 4 (101 enodes) 40.764 * * [simplify]: iters left: 3 (160 enodes) 40.819 * * [simplify]: iters left: 2 (299 enodes) 40.913 * * [simplify]: Extracting #0: cost 1 inf + 0 40.913 * * [simplify]: Extracting #1: cost 34 inf + 0 40.914 * * [simplify]: Extracting #2: cost 102 inf + 0 40.914 * * [simplify]: Extracting #3: cost 155 inf + 2 40.916 * * [simplify]: Extracting #4: cost 168 inf + 139 40.918 * * [simplify]: Extracting #5: cost 136 inf + 4159 40.924 * * [simplify]: Extracting #6: cost 78 inf + 13897 40.940 * * [simplify]: Extracting #7: cost 16 inf + 59233 40.961 * * [simplify]: Extracting #8: cost 0 inf + 73111 40.983 * * [simplify]: Extracting #9: cost 0 inf + 73021 41.005 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 41.005 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))))) 41.005 * * * * [progress]: [ 138 / 188 ] simplifiying candidate # 41.005 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 41.006 * * [simplify]: iters left: 6 (16 enodes) 41.015 * * [simplify]: iters left: 5 (66 enodes) 41.038 * * [simplify]: iters left: 4 (106 enodes) 41.056 * * [simplify]: iters left: 3 (156 enodes) 41.089 * * [simplify]: iters left: 2 (230 enodes) 41.136 * * [simplify]: iters left: 1 (385 enodes) 41.262 * * [simplify]: Extracting #0: cost 1 inf + 0 41.262 * * [simplify]: Extracting #1: cost 7 inf + 0 41.262 * * [simplify]: Extracting #2: cost 13 inf + 1 41.262 * * [simplify]: Extracting #3: cost 39 inf + 1 41.262 * * [simplify]: Extracting #4: cost 111 inf + 288 41.263 * * [simplify]: Extracting #5: cost 135 inf + 1697 41.266 * * [simplify]: Extracting #6: cost 69 inf + 16537 41.274 * * [simplify]: Extracting #7: cost 2 inf + 58558 41.286 * * [simplify]: Extracting #8: cost 0 inf + 59911 41.295 * * [simplify]: Extracting #9: cost 0 inf + 59711 41.306 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 41.306 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.307 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 41.307 * * [simplify]: iters left: 6 (16 enodes) 41.316 * * [simplify]: iters left: 5 (66 enodes) 41.336 * * [simplify]: iters left: 4 (106 enodes) 41.370 * * [simplify]: iters left: 3 (156 enodes) 41.411 * * [simplify]: iters left: 2 (230 enodes) 41.465 * * [simplify]: iters left: 1 (385 enodes) 41.593 * * [simplify]: Extracting #0: cost 1 inf + 0 41.593 * * [simplify]: Extracting #1: cost 7 inf + 0 41.593 * * [simplify]: Extracting #2: cost 13 inf + 1 41.593 * * [simplify]: Extracting #3: cost 39 inf + 1 41.594 * * [simplify]: Extracting #4: cost 111 inf + 288 41.595 * * [simplify]: Extracting #5: cost 135 inf + 1697 41.601 * * [simplify]: Extracting #6: cost 69 inf + 16537 41.616 * * [simplify]: Extracting #7: cost 2 inf + 58558 41.634 * * [simplify]: Extracting #8: cost 0 inf + 59911 41.652 * * [simplify]: Extracting #9: cost 0 inf + 59711 41.670 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 41.670 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 41.670 * * * * [progress]: [ 139 / 188 ] simplifiying candidate # 41.670 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 41.670 * * [simplify]: iters left: 6 (16 enodes) 41.675 * * [simplify]: iters left: 5 (69 enodes) 41.687 * * [simplify]: iters left: 4 (113 enodes) 41.711 * * [simplify]: iters left: 3 (192 enodes) 41.783 * * [simplify]: iters left: 2 (378 enodes) 41.904 * * [simplify]: Extracting #0: cost 1 inf + 0 41.904 * * [simplify]: Extracting #1: cost 45 inf + 0 41.904 * * [simplify]: Extracting #2: cost 112 inf + 1 41.905 * * [simplify]: Extracting #3: cost 167 inf + 3 41.906 * * [simplify]: Extracting #4: cost 176 inf + 259 41.908 * * [simplify]: Extracting #5: cost 141 inf + 5103 41.915 * * [simplify]: Extracting #6: cost 76 inf + 19730 41.935 * * [simplify]: Extracting #7: cost 10 inf + 66527 41.955 * * [simplify]: Extracting #8: cost 0 inf + 76629 41.968 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 41.968 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 41.968 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 41.968 * * [simplify]: iters left: 6 (16 enodes) 41.973 * * [simplify]: iters left: 5 (69 enodes) 41.986 * * [simplify]: iters left: 4 (113 enodes) 42.026 * * [simplify]: iters left: 3 (192 enodes) 42.099 * * [simplify]: iters left: 2 (378 enodes) 42.257 * * [simplify]: Extracting #0: cost 1 inf + 0 42.257 * * [simplify]: Extracting #1: cost 45 inf + 0 42.258 * * [simplify]: Extracting #2: cost 112 inf + 1 42.259 * * [simplify]: Extracting #3: cost 167 inf + 3 42.260 * * [simplify]: Extracting #4: cost 176 inf + 259 42.263 * * [simplify]: Extracting #5: cost 141 inf + 5103 42.270 * * [simplify]: Extracting #6: cost 76 inf + 19730 42.290 * * [simplify]: Extracting #7: cost 10 inf + 66527 42.315 * * [simplify]: Extracting #8: cost 0 inf + 76629 42.333 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 42.333 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 42.333 * * * * [progress]: [ 140 / 188 ] simplifiying candidate # 42.334 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 42.334 * * [simplify]: iters left: 6 (16 enodes) 42.339 * * [simplify]: iters left: 5 (66 enodes) 42.352 * * [simplify]: iters left: 4 (106 enodes) 42.389 * * [simplify]: iters left: 3 (156 enodes) 42.436 * * [simplify]: iters left: 2 (230 enodes) 42.488 * * [simplify]: iters left: 1 (385 enodes) 42.637 * * [simplify]: Extracting #0: cost 1 inf + 0 42.637 * * [simplify]: Extracting #1: cost 7 inf + 0 42.637 * * [simplify]: Extracting #2: cost 13 inf + 1 42.637 * * [simplify]: Extracting #3: cost 39 inf + 1 42.638 * * [simplify]: Extracting #4: cost 111 inf + 288 42.638 * * [simplify]: Extracting #5: cost 135 inf + 1697 42.641 * * [simplify]: Extracting #6: cost 69 inf + 16537 42.649 * * [simplify]: Extracting #7: cost 2 inf + 58558 42.658 * * [simplify]: Extracting #8: cost 0 inf + 59911 42.676 * * [simplify]: Extracting #9: cost 0 inf + 59711 42.694 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 42.694 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 42.695 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 42.695 * * [simplify]: iters left: 6 (16 enodes) 42.704 * * [simplify]: iters left: 5 (66 enodes) 42.728 * * [simplify]: iters left: 4 (106 enodes) 42.761 * * [simplify]: iters left: 3 (156 enodes) 42.792 * * [simplify]: iters left: 2 (230 enodes) 42.836 * * [simplify]: iters left: 1 (385 enodes) 42.971 * * [simplify]: Extracting #0: cost 1 inf + 0 42.971 * * [simplify]: Extracting #1: cost 7 inf + 0 42.971 * * [simplify]: Extracting #2: cost 13 inf + 1 42.972 * * [simplify]: Extracting #3: cost 39 inf + 1 42.972 * * [simplify]: Extracting #4: cost 111 inf + 288 42.974 * * [simplify]: Extracting #5: cost 135 inf + 1697 42.980 * * [simplify]: Extracting #6: cost 69 inf + 16537 42.989 * * [simplify]: Extracting #7: cost 2 inf + 58558 43.001 * * [simplify]: Extracting #8: cost 0 inf + 59911 43.010 * * [simplify]: Extracting #9: cost 0 inf + 59711 43.022 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 43.022 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 43.022 * * * * [progress]: [ 141 / 188 ] simplifiying candidate # 43.022 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 43.022 * * [simplify]: iters left: 6 (16 enodes) 43.032 * * [simplify]: iters left: 5 (69 enodes) 43.049 * * [simplify]: iters left: 4 (113 enodes) 43.069 * * [simplify]: iters left: 3 (192 enodes) 43.143 * * [simplify]: iters left: 2 (378 enodes) 43.289 * * [simplify]: Extracting #0: cost 1 inf + 0 43.289 * * [simplify]: Extracting #1: cost 45 inf + 0 43.290 * * [simplify]: Extracting #2: cost 112 inf + 1 43.291 * * [simplify]: Extracting #3: cost 167 inf + 3 43.293 * * [simplify]: Extracting #4: cost 176 inf + 259 43.295 * * [simplify]: Extracting #5: cost 141 inf + 5103 43.302 * * [simplify]: Extracting #6: cost 76 inf + 19730 43.321 * * [simplify]: Extracting #7: cost 10 inf + 66527 43.346 * * [simplify]: Extracting #8: cost 0 inf + 76629 43.358 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 43.359 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 43.359 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 43.359 * * [simplify]: iters left: 6 (16 enodes) 43.364 * * [simplify]: iters left: 5 (69 enodes) 43.380 * * [simplify]: iters left: 4 (113 enodes) 43.418 * * [simplify]: iters left: 3 (192 enodes) 43.465 * * [simplify]: iters left: 2 (378 enodes) 43.608 * * [simplify]: Extracting #0: cost 1 inf + 0 43.608 * * [simplify]: Extracting #1: cost 45 inf + 0 43.608 * * [simplify]: Extracting #2: cost 112 inf + 1 43.609 * * [simplify]: Extracting #3: cost 167 inf + 3 43.610 * * [simplify]: Extracting #4: cost 176 inf + 259 43.611 * * [simplify]: Extracting #5: cost 141 inf + 5103 43.615 * * [simplify]: Extracting #6: cost 76 inf + 19730 43.632 * * [simplify]: Extracting #7: cost 10 inf + 66527 43.649 * * [simplify]: Extracting #8: cost 0 inf + 76629 43.662 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 43.662 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 43.663 * * * * [progress]: [ 142 / 188 ] simplifiying candidate # 43.663 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 43.663 * * [simplify]: iters left: 6 (15 enodes) 43.671 * * [simplify]: iters left: 5 (63 enodes) 43.685 * * [simplify]: iters left: 4 (97 enodes) 43.701 * * [simplify]: iters left: 3 (152 enodes) 43.738 * * [simplify]: iters left: 2 (244 enodes) 43.793 * * [simplify]: iters left: 1 (400 enodes) 43.909 * * [simplify]: Extracting #0: cost 1 inf + 0 43.909 * * [simplify]: Extracting #1: cost 7 inf + 0 43.909 * * [simplify]: Extracting #2: cost 13 inf + 1 43.910 * * [simplify]: Extracting #3: cost 39 inf + 1 43.910 * * [simplify]: Extracting #4: cost 113 inf + 3 43.911 * * [simplify]: Extracting #5: cost 147 inf + 1541 43.914 * * [simplify]: Extracting #6: cost 70 inf + 15032 43.920 * * [simplify]: Extracting #7: cost 17 inf + 41663 43.929 * * [simplify]: Extracting #8: cost 0 inf + 55513 43.945 * * [simplify]: Extracting #9: cost 0 inf + 55313 43.954 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 43.954 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 43.954 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 43.955 * * [simplify]: iters left: 6 (15 enodes) 43.958 * * [simplify]: iters left: 5 (63 enodes) 43.969 * * [simplify]: iters left: 4 (97 enodes) 43.994 * * [simplify]: iters left: 3 (152 enodes) 44.048 * * [simplify]: iters left: 2 (244 enodes) 44.129 * * [simplify]: iters left: 1 (400 enodes) 44.269 * * [simplify]: Extracting #0: cost 1 inf + 0 44.269 * * [simplify]: Extracting #1: cost 7 inf + 0 44.269 * * [simplify]: Extracting #2: cost 13 inf + 1 44.269 * * [simplify]: Extracting #3: cost 39 inf + 1 44.269 * * [simplify]: Extracting #4: cost 113 inf + 3 44.270 * * [simplify]: Extracting #5: cost 147 inf + 1541 44.273 * * [simplify]: Extracting #6: cost 70 inf + 15032 44.280 * * [simplify]: Extracting #7: cost 17 inf + 41663 44.288 * * [simplify]: Extracting #8: cost 0 inf + 55513 44.298 * * [simplify]: Extracting #9: cost 0 inf + 55313 44.307 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 44.307 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 44.307 * * * * [progress]: [ 143 / 188 ] simplifiying candidate # 44.307 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 44.307 * * [simplify]: iters left: 6 (15 enodes) 44.312 * * [simplify]: iters left: 5 (66 enodes) 44.331 * * [simplify]: iters left: 4 (109 enodes) 44.368 * * [simplify]: iters left: 3 (192 enodes) 44.443 * * [simplify]: iters left: 2 (371 enodes) 44.580 * * [simplify]: Extracting #0: cost 1 inf + 0 44.580 * * [simplify]: Extracting #1: cost 40 inf + 0 44.581 * * [simplify]: Extracting #2: cost 127 inf + 1 44.582 * * [simplify]: Extracting #3: cost 186 inf + 3 44.584 * * [simplify]: Extracting #4: cost 180 inf + 1500 44.589 * * [simplify]: Extracting #5: cost 115 inf + 12508 44.608 * * [simplify]: Extracting #6: cost 18 inf + 70745 44.635 * * [simplify]: Extracting #7: cost 0 inf + 85905 44.668 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 44.669 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 44.669 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 44.669 * * [simplify]: iters left: 6 (15 enodes) 44.678 * * [simplify]: iters left: 5 (66 enodes) 44.700 * * [simplify]: iters left: 4 (109 enodes) 44.738 * * [simplify]: iters left: 3 (192 enodes) 44.812 * * [simplify]: iters left: 2 (371 enodes) 44.979 * * [simplify]: Extracting #0: cost 1 inf + 0 44.979 * * [simplify]: Extracting #1: cost 40 inf + 0 44.980 * * [simplify]: Extracting #2: cost 127 inf + 1 44.981 * * [simplify]: Extracting #3: cost 186 inf + 3 44.983 * * [simplify]: Extracting #4: cost 180 inf + 1500 44.988 * * [simplify]: Extracting #5: cost 115 inf + 12508 45.007 * * [simplify]: Extracting #6: cost 18 inf + 70745 45.027 * * [simplify]: Extracting #7: cost 0 inf + 85905 45.049 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 45.049 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 45.049 * * * * [progress]: [ 144 / 188 ] simplifiying candidate # 45.049 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 45.050 * * [simplify]: iters left: 6 (15 enodes) 45.058 * * [simplify]: iters left: 5 (63 enodes) 45.070 * * [simplify]: iters left: 4 (97 enodes) 45.086 * * [simplify]: iters left: 3 (152 enodes) 45.133 * * [simplify]: iters left: 2 (244 enodes) 45.206 * * [simplify]: iters left: 1 (400 enodes) 45.347 * * [simplify]: Extracting #0: cost 1 inf + 0 45.347 * * [simplify]: Extracting #1: cost 7 inf + 0 45.347 * * [simplify]: Extracting #2: cost 13 inf + 1 45.347 * * [simplify]: Extracting #3: cost 39 inf + 1 45.348 * * [simplify]: Extracting #4: cost 113 inf + 3 45.354 * * [simplify]: Extracting #5: cost 147 inf + 1541 45.360 * * [simplify]: Extracting #6: cost 70 inf + 15032 45.373 * * [simplify]: Extracting #7: cost 17 inf + 41663 45.390 * * [simplify]: Extracting #8: cost 0 inf + 55513 45.408 * * [simplify]: Extracting #9: cost 0 inf + 55313 45.425 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 45.425 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 45.425 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 45.425 * * [simplify]: iters left: 6 (15 enodes) 45.433 * * [simplify]: iters left: 5 (63 enodes) 45.454 * * [simplify]: iters left: 4 (97 enodes) 45.474 * * [simplify]: iters left: 3 (152 enodes) 45.507 * * [simplify]: iters left: 2 (244 enodes) 45.588 * * [simplify]: iters left: 1 (400 enodes) 45.777 * * [simplify]: Extracting #0: cost 1 inf + 0 45.777 * * [simplify]: Extracting #1: cost 7 inf + 0 45.777 * * [simplify]: Extracting #2: cost 13 inf + 1 45.778 * * [simplify]: Extracting #3: cost 39 inf + 1 45.778 * * [simplify]: Extracting #4: cost 113 inf + 3 45.780 * * [simplify]: Extracting #5: cost 147 inf + 1541 45.786 * * [simplify]: Extracting #6: cost 70 inf + 15032 45.798 * * [simplify]: Extracting #7: cost 17 inf + 41663 45.816 * * [simplify]: Extracting #8: cost 0 inf + 55513 45.835 * * [simplify]: Extracting #9: cost 0 inf + 55313 45.852 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 45.853 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 45.853 * * * * [progress]: [ 145 / 188 ] simplifiying candidate # 45.853 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 45.853 * * [simplify]: iters left: 6 (15 enodes) 45.861 * * [simplify]: iters left: 5 (66 enodes) 45.883 * * [simplify]: iters left: 4 (109 enodes) 45.922 * * [simplify]: iters left: 3 (192 enodes) 45.974 * * [simplify]: iters left: 2 (371 enodes) 46.116 * * [simplify]: Extracting #0: cost 1 inf + 0 46.117 * * [simplify]: Extracting #1: cost 40 inf + 0 46.118 * * [simplify]: Extracting #2: cost 127 inf + 1 46.119 * * [simplify]: Extracting #3: cost 186 inf + 3 46.121 * * [simplify]: Extracting #4: cost 180 inf + 1500 46.126 * * [simplify]: Extracting #5: cost 115 inf + 12508 46.144 * * [simplify]: Extracting #6: cost 18 inf + 70745 46.160 * * [simplify]: Extracting #7: cost 0 inf + 85905 46.175 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 46.175 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 46.175 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 46.175 * * [simplify]: iters left: 6 (15 enodes) 46.184 * * [simplify]: iters left: 5 (66 enodes) 46.206 * * [simplify]: iters left: 4 (109 enodes) 46.244 * * [simplify]: iters left: 3 (192 enodes) 46.291 * * [simplify]: iters left: 2 (371 enodes) 46.434 * * [simplify]: Extracting #0: cost 1 inf + 0 46.434 * * [simplify]: Extracting #1: cost 40 inf + 0 46.434 * * [simplify]: Extracting #2: cost 127 inf + 1 46.435 * * [simplify]: Extracting #3: cost 186 inf + 3 46.436 * * [simplify]: Extracting #4: cost 180 inf + 1500 46.439 * * [simplify]: Extracting #5: cost 115 inf + 12508 46.454 * * [simplify]: Extracting #6: cost 18 inf + 70745 46.485 * * [simplify]: Extracting #7: cost 0 inf + 85905 46.513 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 46.513 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 46.513 * * * * [progress]: [ 146 / 188 ] simplifiying candidate # 46.513 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 46.513 * * [simplify]: iters left: 5 (7 enodes) 46.518 * * [simplify]: iters left: 4 (32 enodes) 46.530 * * [simplify]: iters left: 3 (57 enodes) 46.548 * * [simplify]: iters left: 2 (88 enodes) 46.578 * * [simplify]: iters left: 1 (156 enodes) 46.646 * * [simplify]: Extracting #0: cost 1 inf + 0 46.646 * * [simplify]: Extracting #1: cost 13 inf + 0 46.646 * * [simplify]: Extracting #2: cost 49 inf + 2 46.646 * * [simplify]: Extracting #3: cost 80 inf + 6 46.647 * * [simplify]: Extracting #4: cost 58 inf + 1840 46.648 * * [simplify]: Extracting #5: cost 22 inf + 9206 46.651 * * [simplify]: Extracting #6: cost 1 inf + 20886 46.654 * * [simplify]: Extracting #7: cost 0 inf + 21301 46.657 * * [simplify]: Extracting #8: cost 0 inf + 21130 46.660 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 46.660 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 46.660 * * * * [progress]: [ 147 / 188 ] simplifiying candidate # 46.660 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 46.660 * * [simplify]: iters left: 6 (11 enodes) 46.664 * * [simplify]: iters left: 5 (48 enodes) 46.672 * * [simplify]: iters left: 4 (77 enodes) 46.689 * * [simplify]: iters left: 3 (118 enodes) 46.722 * * [simplify]: iters left: 2 (206 enodes) 46.772 * * [simplify]: iters left: 1 (370 enodes) 46.924 * * [simplify]: Extracting #0: cost 1 inf + 0 46.924 * * [simplify]: Extracting #1: cost 3 inf + 0 46.924 * * [simplify]: Extracting #2: cost 27 inf + 0 46.929 * * [simplify]: Extracting #3: cost 102 inf + 1 46.931 * * [simplify]: Extracting #4: cost 162 inf + 134 46.932 * * [simplify]: Extracting #5: cost 156 inf + 519 46.936 * * [simplify]: Extracting #6: cost 94 inf + 9125 46.946 * * [simplify]: Extracting #7: cost 36 inf + 32718 46.967 * * [simplify]: Extracting #8: cost 2 inf + 60006 46.989 * * [simplify]: Extracting #9: cost 0 inf + 59623 47.004 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 47.005 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 47.005 * * * * [progress]: [ 148 / 188 ] simplifiying candidate # 47.005 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 47.005 * * [simplify]: iters left: 6 (11 enodes) 47.009 * * [simplify]: iters left: 5 (48 enodes) 47.017 * * [simplify]: iters left: 4 (78 enodes) 47.033 * * [simplify]: iters left: 3 (119 enodes) 47.079 * * [simplify]: iters left: 2 (210 enodes) 47.125 * * [simplify]: iters left: 1 (383 enodes) 47.260 * * [simplify]: Extracting #0: cost 1 inf + 0 47.260 * * [simplify]: Extracting #1: cost 4 inf + 0 47.260 * * [simplify]: Extracting #2: cost 28 inf + 0 47.261 * * [simplify]: Extracting #3: cost 110 inf + 1 47.261 * * [simplify]: Extracting #4: cost 152 inf + 178 47.262 * * [simplify]: Extracting #5: cost 142 inf + 935 47.264 * * [simplify]: Extracting #6: cost 87 inf + 7703 47.269 * * [simplify]: Extracting #7: cost 23 inf + 38047 47.279 * * [simplify]: Extracting #8: cost 1 inf + 56893 47.288 * * [simplify]: Extracting #9: cost 0 inf + 58062 47.304 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 47.304 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 47.304 * * * * [progress]: [ 149 / 188 ] simplifiying candidate # 47.304 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 47.304 * * [simplify]: iters left: 5 (10 enodes) 47.310 * * [simplify]: iters left: 4 (45 enodes) 47.326 * * [simplify]: iters left: 3 (78 enodes) 47.355 * * [simplify]: iters left: 2 (118 enodes) 47.391 * * [simplify]: iters left: 1 (191 enodes) 47.459 * * [simplify]: Extracting #0: cost 1 inf + 0 47.459 * * [simplify]: Extracting #1: cost 13 inf + 0 47.459 * * [simplify]: Extracting #2: cost 59 inf + 1 47.460 * * [simplify]: Extracting #3: cost 91 inf + 7 47.461 * * [simplify]: Extracting #4: cost 83 inf + 556 47.464 * * [simplify]: Extracting #5: cost 33 inf + 11764 47.472 * * [simplify]: Extracting #6: cost 0 inf + 23469 47.481 * * [simplify]: Extracting #7: cost 0 inf + 23146 47.493 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 47.494 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 47.494 * * * * [progress]: [ 150 / 188 ] simplifiying candidate # 47.494 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 47.494 * * [simplify]: iters left: 6 (11 enodes) 47.501 * * [simplify]: iters left: 5 (51 enodes) 47.513 * * [simplify]: iters left: 4 (87 enodes) 47.528 * * [simplify]: iters left: 3 (143 enodes) 47.571 * * [simplify]: iters left: 2 (259 enodes) 47.649 * * [simplify]: iters left: 1 (469 enodes) 47.871 * * [simplify]: Extracting #0: cost 1 inf + 0 47.871 * * [simplify]: Extracting #1: cost 23 inf + 0 47.872 * * [simplify]: Extracting #2: cost 109 inf + 1 47.873 * * [simplify]: Extracting #3: cost 194 inf + 137 47.875 * * [simplify]: Extracting #4: cost 176 inf + 2344 47.883 * * [simplify]: Extracting #5: cost 80 inf + 17283 47.901 * * [simplify]: Extracting #6: cost 12 inf + 52046 47.928 * * [simplify]: Extracting #7: cost 0 inf + 61992 47.949 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 47.949 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1/4 (- 1 k))))) 47.949 * * * * [progress]: [ 151 / 188 ] simplifiying candidate # 47.949 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 47.949 * * [simplify]: iters left: 6 (6 enodes) 47.953 * * [simplify]: iters left: 5 (20 enodes) 47.959 * * [simplify]: iters left: 4 (22 enodes) 47.965 * * [simplify]: Extracting #0: cost 1 inf + 0 47.965 * * [simplify]: Extracting #1: cost 3 inf + 0 47.965 * * [simplify]: Extracting #2: cost 5 inf + 0 47.965 * * [simplify]: Extracting #3: cost 8 inf + 0 47.965 * * [simplify]: Extracting #4: cost 9 inf + 1 47.965 * * [simplify]: Extracting #5: cost 8 inf + 2 47.966 * * [simplify]: Extracting #6: cost 1 inf + 774 47.966 * * [simplify]: Extracting #7: cost 0 inf + 976 47.966 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 47.966 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 47.966 * * * * [progress]: [ 152 / 188 ] simplifiying candidate # 47.967 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 47.967 * * [simplify]: iters left: 4 (5 enodes) 47.969 * * [simplify]: iters left: 3 (17 enodes) 47.974 * * [simplify]: iters left: 2 (19 enodes) 47.980 * * [simplify]: Extracting #0: cost 1 inf + 0 47.980 * * [simplify]: Extracting #1: cost 3 inf + 0 47.980 * * [simplify]: Extracting #2: cost 6 inf + 0 47.980 * * [simplify]: Extracting #3: cost 7 inf + 1 47.981 * * [simplify]: Extracting #4: cost 0 inf + 492 47.981 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 47.981 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 47.981 * * * * [progress]: [ 153 / 188 ] simplifiying candidate # 47.982 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 47.982 * * [simplify]: iters left: 6 (8 enodes) 47.986 * * [simplify]: iters left: 5 (32 enodes) 47.997 * * [simplify]: iters left: 4 (48 enodes) 48.013 * * [simplify]: iters left: 3 (76 enodes) 48.035 * * [simplify]: iters left: 2 (81 enodes) 48.047 * * [simplify]: Extracting #0: cost 1 inf + 0 48.047 * * [simplify]: Extracting #1: cost 6 inf + 0 48.047 * * [simplify]: Extracting #2: cost 9 inf + 1 48.047 * * [simplify]: Extracting #3: cost 11 inf + 1 48.048 * * [simplify]: Extracting #4: cost 2 inf + 1052 48.048 * * [simplify]: Extracting #5: cost 0 inf + 1376 48.049 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.049 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.049 * * * * [progress]: [ 154 / 188 ] simplifiying candidate # 48.049 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 48.050 * * [simplify]: iters left: 6 (8 enodes) 48.055 * * [simplify]: iters left: 5 (29 enodes) 48.067 * * [simplify]: iters left: 4 (31 enodes) 48.075 * * [simplify]: Extracting #0: cost 1 inf + 0 48.075 * * [simplify]: Extracting #1: cost 4 inf + 0 48.075 * * [simplify]: Extracting #2: cost 6 inf + 1 48.075 * * [simplify]: Extracting #3: cost 9 inf + 1 48.075 * * [simplify]: Extracting #4: cost 8 inf + 2 48.075 * * [simplify]: Extracting #5: cost 2 inf + 729 48.076 * * [simplify]: Extracting #6: cost 0 inf + 972 48.076 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 48.076 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.076 * * * * [progress]: [ 155 / 188 ] simplifiying candidate # 48.077 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 48.077 * * [simplify]: iters left: 5 (7 enodes) 48.082 * * [simplify]: iters left: 4 (25 enodes) 48.089 * * [simplify]: iters left: 3 (27 enodes) 48.096 * * [simplify]: Extracting #0: cost 1 inf + 0 48.096 * * [simplify]: Extracting #1: cost 4 inf + 0 48.096 * * [simplify]: Extracting #2: cost 5 inf + 1 48.096 * * [simplify]: Extracting #3: cost 7 inf + 1 48.096 * * [simplify]: Extracting #4: cost 6 inf + 2 48.096 * * [simplify]: Extracting #5: cost 2 inf + 368 48.097 * * [simplify]: Extracting #6: cost 0 inf + 490 48.097 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.097 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.097 * * * * [progress]: [ 156 / 188 ] simplifiying candidate # 48.097 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 48.097 * * [simplify]: iters left: 5 (5 enodes) 48.106 * * [simplify]: iters left: 4 (19 enodes) 48.111 * * [simplify]: iters left: 3 (21 enodes) 48.116 * * [simplify]: Extracting #0: cost 1 inf + 0 48.116 * * [simplify]: Extracting #1: cost 0 inf + 1 48.116 * [simplify]: Simplified to 1 48.116 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.116 * * * * [progress]: [ 157 / 188 ] simplifiying candidate # 48.116 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 48.117 * * [simplify]: iters left: 5 (7 enodes) 48.121 * * [simplify]: iters left: 4 (25 enodes) 48.128 * * [simplify]: iters left: 3 (27 enodes) 48.131 * * [simplify]: Extracting #0: cost 1 inf + 0 48.131 * * [simplify]: Extracting #1: cost 4 inf + 0 48.131 * * [simplify]: Extracting #2: cost 5 inf + 1 48.131 * * [simplify]: Extracting #3: cost 7 inf + 1 48.131 * * [simplify]: Extracting #4: cost 6 inf + 2 48.131 * * [simplify]: Extracting #5: cost 2 inf + 368 48.131 * * [simplify]: Extracting #6: cost 0 inf + 490 48.132 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.132 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.132 * * * * [progress]: [ 158 / 188 ] simplifiying candidate # 48.132 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 48.132 * * [simplify]: iters left: 5 (4 enodes) 48.137 * * [simplify]: iters left: 4 (14 enodes) 48.138 * * [simplify]: iters left: 3 (16 enodes) 48.140 * * [simplify]: Extracting #0: cost 1 inf + 0 48.140 * * [simplify]: Extracting #1: cost 0 inf + 1 48.140 * [simplify]: Simplified to 1 48.140 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.140 * * * * [progress]: [ 159 / 188 ] simplifiying candidate # 48.140 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.140 * * [simplify]: iters left: 6 (7 enodes) 48.143 * * [simplify]: iters left: 5 (25 enodes) 48.147 * * [simplify]: iters left: 4 (32 enodes) 48.151 * * [simplify]: iters left: 3 (34 enodes) 48.158 * * [simplify]: Extracting #0: cost 1 inf + 0 48.158 * * [simplify]: Extracting #1: cost 7 inf + 0 48.158 * * [simplify]: Extracting #2: cost 11 inf + 1 48.158 * * [simplify]: Extracting #3: cost 13 inf + 1 48.158 * * [simplify]: Extracting #4: cost 10 inf + 84 48.158 * * [simplify]: Extracting #5: cost 4 inf + 1014 48.159 * * [simplify]: Extracting #6: cost 1 inf + 1498 48.159 * * [simplify]: Extracting #7: cost 0 inf + 1700 48.160 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 48.160 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.160 * * * * [progress]: [ 160 / 188 ] simplifiying candidate # 48.160 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 48.160 * * [simplify]: iters left: 6 (7 enodes) 48.165 * * [simplify]: iters left: 5 (24 enodes) 48.171 * * [simplify]: iters left: 4 (26 enodes) 48.179 * * [simplify]: Extracting #0: cost 1 inf + 0 48.179 * * [simplify]: Extracting #1: cost 4 inf + 0 48.179 * * [simplify]: Extracting #2: cost 6 inf + 1 48.179 * * [simplify]: Extracting #3: cost 9 inf + 1 48.179 * * [simplify]: Extracting #4: cost 8 inf + 2 48.179 * * [simplify]: Extracting #5: cost 2 inf + 730 48.179 * * [simplify]: Extracting #6: cost 0 inf + 972 48.180 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 48.180 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.180 * * * * [progress]: [ 161 / 188 ] simplifiying candidate # 48.180 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 48.180 * * [simplify]: iters left: 4 (6 enodes) 48.184 * * [simplify]: iters left: 3 (20 enodes) 48.190 * * [simplify]: iters left: 2 (22 enodes) 48.197 * * [simplify]: Extracting #0: cost 1 inf + 0 48.197 * * [simplify]: Extracting #1: cost 4 inf + 0 48.197 * * [simplify]: Extracting #2: cost 5 inf + 1 48.197 * * [simplify]: Extracting #3: cost 7 inf + 1 48.197 * * [simplify]: Extracting #4: cost 1 inf + 368 48.197 * * [simplify]: Extracting #5: cost 0 inf + 490 48.198 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.198 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.198 * * * * [progress]: [ 162 / 188 ] simplifiying candidate # 48.198 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 48.198 * * [simplify]: iters left: 3 (3 enodes) 48.203 * * [simplify]: iters left: 2 (9 enodes) 48.204 * * [simplify]: iters left: 1 (11 enodes) 48.206 * * [simplify]: Extracting #0: cost 1 inf + 0 48.206 * * [simplify]: Extracting #1: cost 0 inf + 1 48.206 * [simplify]: Simplified to 1 48.206 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.206 * * * * [progress]: [ 163 / 188 ] simplifiying candidate # 48.206 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 48.206 * * [simplify]: iters left: 4 (6 enodes) 48.208 * * [simplify]: iters left: 3 (20 enodes) 48.211 * * [simplify]: iters left: 2 (22 enodes) 48.214 * * [simplify]: Extracting #0: cost 1 inf + 0 48.214 * * [simplify]: Extracting #1: cost 4 inf + 0 48.214 * * [simplify]: Extracting #2: cost 5 inf + 1 48.214 * * [simplify]: Extracting #3: cost 7 inf + 1 48.214 * * [simplify]: Extracting #4: cost 1 inf + 368 48.214 * * [simplify]: Extracting #5: cost 0 inf + 490 48.214 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.214 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.214 * * * * [progress]: [ 164 / 188 ] simplifiying candidate # 48.214 * [simplify]: Simplifying (/ (sqrt 1) 1) 48.214 * * [simplify]: iters left: 3 (3 enodes) 48.216 * * [simplify]: iters left: 2 (9 enodes) 48.218 * * [simplify]: iters left: 1 (11 enodes) 48.219 * * [simplify]: Extracting #0: cost 1 inf + 0 48.219 * * [simplify]: Extracting #1: cost 0 inf + 1 48.219 * [simplify]: Simplified to 1 48.219 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.219 * * * * [progress]: [ 165 / 188 ] simplifiying candidate # 48.220 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.220 * * [simplify]: iters left: 6 (6 enodes) 48.221 * * [simplify]: iters left: 5 (22 enodes) 48.224 * * [simplify]: iters left: 4 (26 enodes) 48.230 * * [simplify]: Extracting #0: cost 1 inf + 0 48.230 * * [simplify]: Extracting #1: cost 6 inf + 0 48.230 * * [simplify]: Extracting #2: cost 9 inf + 1 48.230 * * [simplify]: Extracting #3: cost 11 inf + 1 48.230 * * [simplify]: Extracting #4: cost 8 inf + 84 48.230 * * [simplify]: Extracting #5: cost 2 inf + 1013 48.230 * * [simplify]: Extracting #6: cost 0 inf + 1376 48.231 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.231 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.231 * * * * [progress]: [ 166 / 188 ] simplifiying candidate # 48.231 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 48.231 * * [simplify]: iters left: 6 (6 enodes) 48.234 * * [simplify]: iters left: 5 (21 enodes) 48.239 * * [simplify]: iters left: 4 (23 enodes) 48.245 * * [simplify]: Extracting #0: cost 1 inf + 0 48.245 * * [simplify]: Extracting #1: cost 4 inf + 0 48.246 * * [simplify]: Extracting #2: cost 6 inf + 1 48.246 * * [simplify]: Extracting #3: cost 9 inf + 1 48.246 * * [simplify]: Extracting #4: cost 8 inf + 2 48.246 * * [simplify]: Extracting #5: cost 1 inf + 810 48.246 * * [simplify]: Extracting #6: cost 0 inf + 972 48.246 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 48.246 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.246 * * * * [progress]: [ 167 / 188 ] simplifiying candidate # 48.247 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 48.247 * * [simplify]: iters left: 4 (5 enodes) 48.249 * * [simplify]: iters left: 3 (17 enodes) 48.254 * * [simplify]: iters left: 2 (19 enodes) 48.259 * * [simplify]: Extracting #0: cost 1 inf + 0 48.259 * * [simplify]: Extracting #1: cost 4 inf + 0 48.259 * * [simplify]: Extracting #2: cost 5 inf + 1 48.259 * * [simplify]: Extracting #3: cost 7 inf + 1 48.259 * * [simplify]: Extracting #4: cost 0 inf + 490 48.259 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.259 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.259 * * * * [progress]: [ 168 / 188 ] simplifiying candidate # 48.260 * [simplify]: Simplifying (/ 1 (sqrt 1)) 48.260 * * [simplify]: iters left: 3 (3 enodes) 48.265 * * [simplify]: iters left: 2 (11 enodes) 48.268 * * [simplify]: iters left: 1 (13 enodes) 48.271 * * [simplify]: Extracting #0: cost 1 inf + 0 48.271 * * [simplify]: Extracting #1: cost 0 inf + 1 48.271 * [simplify]: Simplified to 1 48.271 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.271 * * * * [progress]: [ 169 / 188 ] simplifiying candidate # 48.271 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 48.271 * * [simplify]: iters left: 4 (5 enodes) 48.273 * * [simplify]: iters left: 3 (17 enodes) 48.278 * * [simplify]: iters left: 2 (19 enodes) 48.283 * * [simplify]: Extracting #0: cost 1 inf + 0 48.283 * * [simplify]: Extracting #1: cost 4 inf + 0 48.283 * * [simplify]: Extracting #2: cost 5 inf + 1 48.283 * * [simplify]: Extracting #3: cost 7 inf + 1 48.283 * * [simplify]: Extracting #4: cost 0 inf + 490 48.283 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.283 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.283 * * * * [progress]: [ 170 / 188 ] simplifiying candidate # 48.284 * [simplify]: Simplifying (/ 1 1) 48.284 * * [simplify]: iters left: 2 (2 enodes) 48.285 * * [simplify]: iters left: 1 (6 enodes) 48.287 * * [simplify]: Extracting #0: cost 1 inf + 0 48.287 * * [simplify]: Extracting #1: cost 0 inf + 1 48.287 * [simplify]: Simplified to 1 48.287 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.287 * * * * [progress]: [ 171 / 188 ] simplifiying candidate # 48.287 * * * * [progress]: [ 172 / 188 ] simplifiying candidate # 48.287 * * * * [progress]: [ 173 / 188 ] simplifiying candidate # 48.287 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 48.287 * * [simplify]: iters left: 5 (8 enodes) 48.291 * * [simplify]: iters left: 4 (31 enodes) 48.300 * * [simplify]: iters left: 3 (51 enodes) 48.314 * * [simplify]: iters left: 2 (85 enodes) 48.342 * * [simplify]: iters left: 1 (152 enodes) 48.397 * * [simplify]: Extracting #0: cost 1 inf + 0 48.397 * * [simplify]: Extracting #1: cost 13 inf + 0 48.398 * * [simplify]: Extracting #2: cost 60 inf + 1 48.398 * * [simplify]: Extracting #3: cost 76 inf + 51 48.399 * * [simplify]: Extracting #4: cost 44 inf + 2846 48.402 * * [simplify]: Extracting #5: cost 21 inf + 7590 48.405 * * [simplify]: Extracting #6: cost 1 inf + 20687 48.408 * * [simplify]: Extracting #7: cost 0 inf + 20539 48.410 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 48.410 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 48.411 * * * * [progress]: [ 174 / 188 ] simplifiying candidate # 48.411 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 48.411 * * [simplify]: iters left: 6 (11 enodes) 48.414 * * [simplify]: iters left: 5 (47 enodes) 48.424 * * [simplify]: iters left: 4 (82 enodes) 48.441 * * [simplify]: iters left: 3 (126 enodes) 48.477 * * [simplify]: iters left: 2 (214 enodes) 48.523 * * [simplify]: iters left: 1 (360 enodes) 48.672 * * [simplify]: Extracting #0: cost 1 inf + 0 48.672 * * [simplify]: Extracting #1: cost 19 inf + 0 48.672 * * [simplify]: Extracting #2: cost 84 inf + 2 48.673 * * [simplify]: Extracting #3: cost 140 inf + 50 48.675 * * [simplify]: Extracting #4: cost 152 inf + 350 48.677 * * [simplify]: Extracting #5: cost 121 inf + 2516 48.682 * * [simplify]: Extracting #6: cost 59 inf + 11721 48.693 * * [simplify]: Extracting #7: cost 15 inf + 36647 48.706 * * [simplify]: Extracting #8: cost 0 inf + 48718 48.714 * * [simplify]: Extracting #9: cost 0 inf + 48296 48.723 * [simplify]: Simplified to (pow (* (* n PI) 2) (/ (- 1 k) 2)) 48.723 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k))) 48.723 * * * * [progress]: [ 175 / 188 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 48.723 * * * * [progress]: [ 176 / 188 ] simplifiying candidate # 48.723 * * * * [progress]: [ 177 / 188 ] simplifiying candidate # 48.723 * [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))))) 48.724 * * [simplify]: iters left: 6 (37 enodes) 48.738 * * [simplify]: iters left: 5 (187 enodes) 48.793 * * [simplify]: iters left: 4 (488 enodes) 49.017 * * [simplify]: Extracting #0: cost 1 inf + 0 49.017 * * [simplify]: Extracting #1: cost 57 inf + 0 49.018 * * [simplify]: Extracting #2: cost 294 inf + 0 49.020 * * [simplify]: Extracting #3: cost 524 inf + 199 49.368 * * [simplify]: Extracting #4: cost 512 inf + 6095 49.380 * * [simplify]: Extracting #5: cost 310 inf + 78036 49.435 * * [simplify]: Extracting #6: cost 40 inf + 220622 49.497 * * [simplify]: Extracting #7: cost 0 inf + 244981 49.562 * * [simplify]: Extracting #8: cost 0 inf + 243455 49.637 * * [simplify]: Extracting #9: cost 0 inf + 243454 49.731 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 49.731 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))))) 49.731 * * * * [progress]: [ 178 / 188 ] simplifiying candidate # 49.731 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 49.731 * * [simplify]: iters left: 6 (15 enodes) 49.737 * * [simplify]: iters left: 5 (65 enodes) 49.751 * * [simplify]: iters left: 4 (123 enodes) 49.792 * * [simplify]: iters left: 3 (361 enodes) 49.912 * * [simplify]: Extracting #0: cost 1 inf + 0 49.912 * * [simplify]: Extracting #1: cost 37 inf + 0 49.913 * * [simplify]: Extracting #2: cost 213 inf + 72 49.914 * * [simplify]: Extracting #3: cost 350 inf + 1716 49.919 * * [simplify]: Extracting #4: cost 221 inf + 30028 49.931 * * [simplify]: Extracting #5: cost 33 inf + 78046 49.950 * * [simplify]: Extracting #6: cost 1 inf + 88785 49.967 * * [simplify]: Extracting #7: cost 0 inf + 88926 49.995 * * [simplify]: Extracting #8: cost 0 inf + 88841 50.010 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 50.010 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 50.010 * * * * [progress]: [ 179 / 188 ] simplifiying candidate # 50.011 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 50.011 * * [simplify]: iters left: 6 (16 enodes) 50.016 * * [simplify]: iters left: 5 (67 enodes) 50.033 * * [simplify]: iters left: 4 (134 enodes) 50.076 * * [simplify]: iters left: 3 (407 enodes) 50.280 * * [simplify]: Extracting #0: cost 1 inf + 0 50.280 * * [simplify]: Extracting #1: cost 39 inf + 0 50.280 * * [simplify]: Extracting #2: cost 241 inf + 72 50.282 * * [simplify]: Extracting #3: cost 449 inf + 888 50.288 * * [simplify]: Extracting #4: cost 283 inf + 39678 50.307 * * [simplify]: Extracting #5: cost 24 inf + 116942 50.351 * * [simplify]: Extracting #6: cost 0 inf + 121984 50.394 * * [simplify]: Extracting #7: cost 0 inf + 121983 50.437 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 50.437 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))) 50.437 * * * * [progress]: [ 180 / 188 ] simplifiying candidate # 50.437 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 50.437 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 50.438 * * * * [progress]: [ 181 / 188 ] simplifiying candidate # 50.438 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 50.438 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 50.438 * * * * [progress]: [ 182 / 188 ] simplifiying candidate # 50.438 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 50.438 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 50.438 * * * * [progress]: [ 183 / 188 ] simplifiying candidate # 50.438 * [simplify]: Simplifying (* 2 (* n PI)) 50.438 * * [simplify]: iters left: 4 (5 enodes) 50.440 * * [simplify]: iters left: 3 (19 enodes) 50.443 * * [simplify]: iters left: 2 (27 enodes) 50.447 * * [simplify]: iters left: 1 (32 enodes) 50.451 * * [simplify]: Extracting #0: cost 1 inf + 0 50.451 * * [simplify]: Extracting #1: cost 8 inf + 0 50.451 * * [simplify]: Extracting #2: cost 7 inf + 45 50.451 * * [simplify]: Extracting #3: cost 0 inf + 421 50.451 * [simplify]: Simplified to (* (* PI n) 2) 50.451 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 50.451 * * * * [progress]: [ 184 / 188 ] simplifiying candidate # 50.451 * [simplify]: Simplifying (* 2 (* n PI)) 50.451 * * [simplify]: iters left: 4 (5 enodes) 50.453 * * [simplify]: iters left: 3 (19 enodes) 50.456 * * [simplify]: iters left: 2 (27 enodes) 50.459 * * [simplify]: iters left: 1 (32 enodes) 50.465 * * [simplify]: Extracting #0: cost 1 inf + 0 50.465 * * [simplify]: Extracting #1: cost 8 inf + 0 50.465 * * [simplify]: Extracting #2: cost 7 inf + 45 50.465 * * [simplify]: Extracting #3: cost 0 inf + 421 50.466 * [simplify]: Simplified to (* (* PI n) 2) 50.466 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 50.466 * * * * [progress]: [ 185 / 188 ] simplifiying candidate # 50.466 * [simplify]: Simplifying (* 2 (* n PI)) 50.466 * * [simplify]: iters left: 4 (5 enodes) 50.469 * * [simplify]: iters left: 3 (19 enodes) 50.475 * * [simplify]: iters left: 2 (27 enodes) 50.480 * * [simplify]: iters left: 1 (32 enodes) 50.484 * * [simplify]: Extracting #0: cost 1 inf + 0 50.484 * * [simplify]: Extracting #1: cost 8 inf + 0 50.484 * * [simplify]: Extracting #2: cost 7 inf + 45 50.485 * * [simplify]: Extracting #3: cost 0 inf + 421 50.485 * [simplify]: Simplified to (* (* PI n) 2) 50.485 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 50.485 * * * * [progress]: [ 186 / 188 ] simplifiying candidate # 50.485 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 50.485 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 50.485 * * * * [progress]: [ 187 / 188 ] simplifiying candidate # 50.485 * [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)))))))) 50.485 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 50.486 * * * * [progress]: [ 188 / 188 ] simplifiying candidate # 50.486 * [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)))))))))))) 50.486 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 50.486 * * * [progress]: adding candidates to table 52.601 * * [progress]: iteration 3 / 4 52.601 * * * [progress]: picking best candidate 52.631 * * * * [pick]: Picked # 52.631 * * * [progress]: localizing error 52.675 * * * [progress]: generating rewritten candidates 52.675 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 52.704 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 52.721 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 52.754 * * * [progress]: generating series expansions 52.754 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 52.755 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 52.755 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 52.755 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 52.755 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 52.755 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 52.755 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 52.755 * [taylor]: Taking taylor expansion of 1/2 in k 52.755 * [backup-simplify]: Simplify 1/2 into 1/2 52.755 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.756 * [taylor]: Taking taylor expansion of 1 in k 52.756 * [backup-simplify]: Simplify 1 into 1 52.756 * [taylor]: Taking taylor expansion of k in k 52.756 * [backup-simplify]: Simplify 0 into 0 52.756 * [backup-simplify]: Simplify 1 into 1 52.756 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 52.756 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 52.756 * [taylor]: Taking taylor expansion of 2 in k 52.756 * [backup-simplify]: Simplify 2 into 2 52.756 * [taylor]: Taking taylor expansion of (* n PI) in k 52.756 * [taylor]: Taking taylor expansion of n in k 52.756 * [backup-simplify]: Simplify n into n 52.756 * [taylor]: Taking taylor expansion of PI in k 52.756 * [backup-simplify]: Simplify PI into PI 52.756 * [backup-simplify]: Simplify (* n PI) into (* n PI) 52.756 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 52.756 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 52.756 * [backup-simplify]: Simplify (- 0) into 0 52.757 * [backup-simplify]: Simplify (+ 1 0) into 1 52.757 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.758 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 52.758 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 52.758 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 52.758 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 52.758 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 52.758 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 52.758 * [taylor]: Taking taylor expansion of 1/2 in n 52.758 * [backup-simplify]: Simplify 1/2 into 1/2 52.758 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.758 * [taylor]: Taking taylor expansion of 1 in n 52.758 * [backup-simplify]: Simplify 1 into 1 52.758 * [taylor]: Taking taylor expansion of k in n 52.758 * [backup-simplify]: Simplify k into k 52.758 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.758 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.758 * [taylor]: Taking taylor expansion of 2 in n 52.758 * [backup-simplify]: Simplify 2 into 2 52.758 * [taylor]: Taking taylor expansion of (* n PI) in n 52.758 * [taylor]: Taking taylor expansion of n in n 52.758 * [backup-simplify]: Simplify 0 into 0 52.758 * [backup-simplify]: Simplify 1 into 1 52.758 * [taylor]: Taking taylor expansion of PI in n 52.758 * [backup-simplify]: Simplify PI into PI 52.759 * [backup-simplify]: Simplify (* 0 PI) into 0 52.759 * [backup-simplify]: Simplify (* 2 0) into 0 52.761 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.762 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.763 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.763 * [backup-simplify]: Simplify (- k) into (- k) 52.763 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.763 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 52.765 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.766 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.767 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.767 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 52.767 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 52.767 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 52.767 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 52.767 * [taylor]: Taking taylor expansion of 1/2 in n 52.767 * [backup-simplify]: Simplify 1/2 into 1/2 52.767 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.767 * [taylor]: Taking taylor expansion of 1 in n 52.767 * [backup-simplify]: Simplify 1 into 1 52.767 * [taylor]: Taking taylor expansion of k in n 52.767 * [backup-simplify]: Simplify k into k 52.767 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.767 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.767 * [taylor]: Taking taylor expansion of 2 in n 52.767 * [backup-simplify]: Simplify 2 into 2 52.767 * [taylor]: Taking taylor expansion of (* n PI) in n 52.767 * [taylor]: Taking taylor expansion of n in n 52.767 * [backup-simplify]: Simplify 0 into 0 52.767 * [backup-simplify]: Simplify 1 into 1 52.767 * [taylor]: Taking taylor expansion of PI in n 52.767 * [backup-simplify]: Simplify PI into PI 52.768 * [backup-simplify]: Simplify (* 0 PI) into 0 52.768 * [backup-simplify]: Simplify (* 2 0) into 0 52.770 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.771 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.772 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.773 * [backup-simplify]: Simplify (- k) into (- k) 52.773 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.773 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 52.774 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.775 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.776 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.776 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 52.776 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 52.776 * [taylor]: Taking taylor expansion of 1/2 in k 52.776 * [backup-simplify]: Simplify 1/2 into 1/2 52.776 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 52.776 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.776 * [taylor]: Taking taylor expansion of 1 in k 52.776 * [backup-simplify]: Simplify 1 into 1 52.776 * [taylor]: Taking taylor expansion of k in k 52.777 * [backup-simplify]: Simplify 0 into 0 52.777 * [backup-simplify]: Simplify 1 into 1 52.777 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 52.777 * [taylor]: Taking taylor expansion of (log n) in k 52.777 * [taylor]: Taking taylor expansion of n in k 52.777 * [backup-simplify]: Simplify n into n 52.777 * [backup-simplify]: Simplify (log n) into (log n) 52.777 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.777 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.777 * [taylor]: Taking taylor expansion of 2 in k 52.777 * [backup-simplify]: Simplify 2 into 2 52.777 * [taylor]: Taking taylor expansion of PI in k 52.777 * [backup-simplify]: Simplify PI into PI 52.777 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.778 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.779 * [backup-simplify]: Simplify (- 0) into 0 52.779 * [backup-simplify]: Simplify (+ 1 0) into 1 52.780 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.781 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 52.782 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 52.783 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 52.784 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 52.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 52.786 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 52.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.788 * [backup-simplify]: Simplify (- 0) into 0 52.789 * [backup-simplify]: Simplify (+ 0 0) into 0 52.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 52.791 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.792 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 52.794 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.794 * [taylor]: Taking taylor expansion of 0 in k 52.794 * [backup-simplify]: Simplify 0 into 0 52.794 * [backup-simplify]: Simplify 0 into 0 52.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 52.795 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.797 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.797 * [backup-simplify]: Simplify (+ 0 0) into 0 52.798 * [backup-simplify]: Simplify (- 1) into -1 52.798 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.800 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 52.801 * [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))))) 52.804 * [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))))))) 52.807 * [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))))))) 52.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 52.809 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 52.813 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 52.813 * [backup-simplify]: Simplify (- 0) into 0 52.813 * [backup-simplify]: Simplify (+ 0 0) into 0 52.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 52.816 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.817 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.819 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.819 * [taylor]: Taking taylor expansion of 0 in k 52.820 * [backup-simplify]: Simplify 0 into 0 52.820 * [backup-simplify]: Simplify 0 into 0 52.820 * [backup-simplify]: Simplify 0 into 0 52.821 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 52.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.826 * [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 52.826 * [backup-simplify]: Simplify (+ 0 0) into 0 52.826 * [backup-simplify]: Simplify (- 0) into 0 52.827 * [backup-simplify]: Simplify (+ 0 0) into 0 52.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.835 * [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))))) 52.843 * [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))))) 52.852 * [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))))) 52.853 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 52.853 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 52.853 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 52.853 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 52.853 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 52.853 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 52.853 * [taylor]: Taking taylor expansion of 1/2 in k 52.853 * [backup-simplify]: Simplify 1/2 into 1/2 52.854 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.854 * [taylor]: Taking taylor expansion of 1 in k 52.854 * [backup-simplify]: Simplify 1 into 1 52.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.854 * [taylor]: Taking taylor expansion of k in k 52.854 * [backup-simplify]: Simplify 0 into 0 52.854 * [backup-simplify]: Simplify 1 into 1 52.854 * [backup-simplify]: Simplify (/ 1 1) into 1 52.854 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 52.854 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 52.854 * [taylor]: Taking taylor expansion of 2 in k 52.854 * [backup-simplify]: Simplify 2 into 2 52.854 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.854 * [taylor]: Taking taylor expansion of PI in k 52.854 * [backup-simplify]: Simplify PI into PI 52.854 * [taylor]: Taking taylor expansion of n in k 52.854 * [backup-simplify]: Simplify n into n 52.854 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.854 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 52.855 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 52.855 * [backup-simplify]: Simplify (- 1) into -1 52.855 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.856 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 52.856 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 52.856 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 52.856 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 52.856 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.856 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.856 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 52.856 * [taylor]: Taking taylor expansion of 1/2 in n 52.856 * [backup-simplify]: Simplify 1/2 into 1/2 52.856 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.856 * [taylor]: Taking taylor expansion of 1 in n 52.856 * [backup-simplify]: Simplify 1 into 1 52.856 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.856 * [taylor]: Taking taylor expansion of k in n 52.856 * [backup-simplify]: Simplify k into k 52.856 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.856 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.856 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.857 * [taylor]: Taking taylor expansion of 2 in n 52.857 * [backup-simplify]: Simplify 2 into 2 52.857 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.857 * [taylor]: Taking taylor expansion of PI in n 52.857 * [backup-simplify]: Simplify PI into PI 52.857 * [taylor]: Taking taylor expansion of n in n 52.857 * [backup-simplify]: Simplify 0 into 0 52.857 * [backup-simplify]: Simplify 1 into 1 52.857 * [backup-simplify]: Simplify (/ PI 1) into PI 52.858 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.858 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.858 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.858 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.858 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 52.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.860 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.860 * [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))))) 52.861 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 52.861 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.861 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.861 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 52.861 * [taylor]: Taking taylor expansion of 1/2 in n 52.861 * [backup-simplify]: Simplify 1/2 into 1/2 52.861 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.861 * [taylor]: Taking taylor expansion of 1 in n 52.861 * [backup-simplify]: Simplify 1 into 1 52.861 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.861 * [taylor]: Taking taylor expansion of k in n 52.861 * [backup-simplify]: Simplify k into k 52.861 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.861 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.861 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.861 * [taylor]: Taking taylor expansion of 2 in n 52.861 * [backup-simplify]: Simplify 2 into 2 52.861 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.861 * [taylor]: Taking taylor expansion of PI in n 52.861 * [backup-simplify]: Simplify PI into PI 52.861 * [taylor]: Taking taylor expansion of n in n 52.861 * [backup-simplify]: Simplify 0 into 0 52.861 * [backup-simplify]: Simplify 1 into 1 52.861 * [backup-simplify]: Simplify (/ PI 1) into PI 52.861 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.862 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.862 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.862 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.862 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 52.863 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.864 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.864 * [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))))) 52.864 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 52.864 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 52.864 * [taylor]: Taking taylor expansion of 1/2 in k 52.864 * [backup-simplify]: Simplify 1/2 into 1/2 52.865 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 52.865 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.865 * [taylor]: Taking taylor expansion of 1 in k 52.865 * [backup-simplify]: Simplify 1 into 1 52.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.865 * [taylor]: Taking taylor expansion of k in k 52.865 * [backup-simplify]: Simplify 0 into 0 52.865 * [backup-simplify]: Simplify 1 into 1 52.865 * [backup-simplify]: Simplify (/ 1 1) into 1 52.865 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 52.865 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.865 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.865 * [taylor]: Taking taylor expansion of 2 in k 52.865 * [backup-simplify]: Simplify 2 into 2 52.865 * [taylor]: Taking taylor expansion of PI in k 52.865 * [backup-simplify]: Simplify PI into PI 52.865 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.866 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.866 * [taylor]: Taking taylor expansion of (log n) in k 52.866 * [taylor]: Taking taylor expansion of n in k 52.866 * [backup-simplify]: Simplify n into n 52.866 * [backup-simplify]: Simplify (log n) into (log n) 52.866 * [backup-simplify]: Simplify (- 1) into -1 52.867 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.867 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.867 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 52.868 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 52.869 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 52.869 * [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))))) 52.870 * [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))))) 52.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.871 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.872 * [backup-simplify]: Simplify (- 0) into 0 52.873 * [backup-simplify]: Simplify (+ 0 0) into 0 52.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 52.874 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.874 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 52.876 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.876 * [taylor]: Taking taylor expansion of 0 in k 52.876 * [backup-simplify]: Simplify 0 into 0 52.876 * [backup-simplify]: Simplify 0 into 0 52.876 * [backup-simplify]: Simplify 0 into 0 52.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.879 * [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 52.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.879 * [backup-simplify]: Simplify (- 0) into 0 52.879 * [backup-simplify]: Simplify (+ 0 0) into 0 52.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 52.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.881 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 52.883 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.883 * [taylor]: Taking taylor expansion of 0 in k 52.883 * [backup-simplify]: Simplify 0 into 0 52.883 * [backup-simplify]: Simplify 0 into 0 52.883 * [backup-simplify]: Simplify 0 into 0 52.883 * [backup-simplify]: Simplify 0 into 0 52.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.889 * [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 52.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.889 * [backup-simplify]: Simplify (- 0) into 0 52.890 * [backup-simplify]: Simplify (+ 0 0) into 0 52.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 52.893 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.894 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 52.897 * [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 52.897 * [taylor]: Taking taylor expansion of 0 in k 52.897 * [backup-simplify]: Simplify 0 into 0 52.897 * [backup-simplify]: Simplify 0 into 0 52.898 * [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)))))) 52.899 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 52.899 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 52.899 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 52.899 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 52.899 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 52.899 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 52.899 * [taylor]: Taking taylor expansion of 1/2 in k 52.899 * [backup-simplify]: Simplify 1/2 into 1/2 52.899 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.899 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.899 * [taylor]: Taking taylor expansion of k in k 52.899 * [backup-simplify]: Simplify 0 into 0 52.899 * [backup-simplify]: Simplify 1 into 1 52.899 * [backup-simplify]: Simplify (/ 1 1) into 1 52.900 * [taylor]: Taking taylor expansion of 1 in k 52.900 * [backup-simplify]: Simplify 1 into 1 52.900 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 52.900 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 52.900 * [taylor]: Taking taylor expansion of -2 in k 52.900 * [backup-simplify]: Simplify -2 into -2 52.900 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.900 * [taylor]: Taking taylor expansion of PI in k 52.900 * [backup-simplify]: Simplify PI into PI 52.900 * [taylor]: Taking taylor expansion of n in k 52.900 * [backup-simplify]: Simplify n into n 52.900 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.900 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 52.900 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 52.900 * [backup-simplify]: Simplify (+ 1 0) into 1 52.901 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.901 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 52.901 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 52.901 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 52.901 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.901 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.901 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 52.901 * [taylor]: Taking taylor expansion of 1/2 in n 52.901 * [backup-simplify]: Simplify 1/2 into 1/2 52.901 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 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) 52.902 * [taylor]: Taking taylor expansion of 1 in n 52.902 * [backup-simplify]: Simplify 1 into 1 52.902 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.902 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.902 * [taylor]: Taking taylor expansion of -2 in n 52.902 * [backup-simplify]: Simplify -2 into -2 52.902 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.902 * [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) 52.904 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.904 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.904 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 52.905 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.906 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.907 * [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))))) 52.907 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 52.907 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.907 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.907 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 52.907 * [taylor]: Taking taylor expansion of 1/2 in n 52.907 * [backup-simplify]: Simplify 1/2 into 1/2 52.908 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.908 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.908 * [taylor]: Taking taylor expansion of k in n 52.908 * [backup-simplify]: Simplify k into k 52.908 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.908 * [taylor]: Taking taylor expansion of 1 in n 52.908 * [backup-simplify]: Simplify 1 into 1 52.908 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.908 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.908 * [taylor]: Taking taylor expansion of -2 in n 52.908 * [backup-simplify]: Simplify -2 into -2 52.908 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.908 * [taylor]: Taking taylor expansion of PI in n 52.908 * [backup-simplify]: Simplify PI into PI 52.908 * [taylor]: Taking taylor expansion of n in n 52.908 * [backup-simplify]: Simplify 0 into 0 52.908 * [backup-simplify]: Simplify 1 into 1 52.909 * [backup-simplify]: Simplify (/ PI 1) into PI 52.909 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.910 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.910 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.910 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 52.912 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.913 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.914 * [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))))) 52.914 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 52.914 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 52.914 * [taylor]: Taking taylor expansion of 1/2 in k 52.914 * [backup-simplify]: Simplify 1/2 into 1/2 52.914 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 52.914 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.914 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.914 * [taylor]: Taking taylor expansion of k in k 52.914 * [backup-simplify]: Simplify 0 into 0 52.914 * [backup-simplify]: Simplify 1 into 1 52.915 * [backup-simplify]: Simplify (/ 1 1) into 1 52.915 * [taylor]: Taking taylor expansion of 1 in k 52.915 * [backup-simplify]: Simplify 1 into 1 52.915 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 52.915 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 52.915 * [taylor]: Taking taylor expansion of (* -2 PI) in k 52.915 * [taylor]: Taking taylor expansion of -2 in k 52.915 * [backup-simplify]: Simplify -2 into -2 52.915 * [taylor]: Taking taylor expansion of PI in k 52.915 * [backup-simplify]: Simplify PI into PI 52.915 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.916 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.916 * [taylor]: Taking taylor expansion of (log n) in k 52.916 * [taylor]: Taking taylor expansion of n in k 52.916 * [backup-simplify]: Simplify n into n 52.916 * [backup-simplify]: Simplify (log n) into (log n) 52.917 * [backup-simplify]: Simplify (+ 1 0) into 1 52.917 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.918 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 52.919 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 52.920 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 52.921 * [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))))) 52.922 * [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))))) 52.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.924 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 52.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 52.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.926 * [backup-simplify]: Simplify (+ 0 0) into 0 52.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 52.928 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.929 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 52.931 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.931 * [taylor]: Taking taylor expansion of 0 in k 52.931 * [backup-simplify]: Simplify 0 into 0 52.931 * [backup-simplify]: Simplify 0 into 0 52.931 * [backup-simplify]: Simplify 0 into 0 52.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.933 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 52.937 * [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 52.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.938 * [backup-simplify]: Simplify (+ 0 0) into 0 52.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 52.940 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.942 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 52.944 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.944 * [taylor]: Taking taylor expansion of 0 in k 52.944 * [backup-simplify]: Simplify 0 into 0 52.944 * [backup-simplify]: Simplify 0 into 0 52.945 * [backup-simplify]: Simplify 0 into 0 52.945 * [backup-simplify]: Simplify 0 into 0 52.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.947 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.953 * [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 52.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.954 * [backup-simplify]: Simplify (+ 0 0) into 0 52.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 52.957 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.960 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 52.965 * [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 52.965 * [taylor]: Taking taylor expansion of 0 in k 52.965 * [backup-simplify]: Simplify 0 into 0 52.965 * [backup-simplify]: Simplify 0 into 0 52.967 * [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)))))) 52.967 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 52.967 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 52.967 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 52.967 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.968 * [taylor]: Taking taylor expansion of 2 in n 52.968 * [backup-simplify]: Simplify 2 into 2 52.968 * [taylor]: Taking taylor expansion of (* n PI) in n 52.968 * [taylor]: Taking taylor expansion of n in n 52.968 * [backup-simplify]: Simplify 0 into 0 52.968 * [backup-simplify]: Simplify 1 into 1 52.968 * [taylor]: Taking taylor expansion of PI in n 52.968 * [backup-simplify]: Simplify PI into PI 52.968 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.968 * [taylor]: Taking taylor expansion of 2 in n 52.968 * [backup-simplify]: Simplify 2 into 2 52.968 * [taylor]: Taking taylor expansion of (* n PI) in n 52.968 * [taylor]: Taking taylor expansion of n in n 52.968 * [backup-simplify]: Simplify 0 into 0 52.968 * [backup-simplify]: Simplify 1 into 1 52.968 * [taylor]: Taking taylor expansion of PI in n 52.968 * [backup-simplify]: Simplify PI into PI 52.968 * [backup-simplify]: Simplify (* 0 PI) into 0 52.969 * [backup-simplify]: Simplify (* 2 0) into 0 52.969 * [backup-simplify]: Simplify 0 into 0 52.970 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.971 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.971 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 52.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 52.973 * [backup-simplify]: Simplify 0 into 0 52.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 52.974 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 52.974 * [backup-simplify]: Simplify 0 into 0 52.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 52.975 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 52.975 * [backup-simplify]: Simplify 0 into 0 52.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 52.977 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 52.977 * [backup-simplify]: Simplify 0 into 0 52.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 52.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 52.979 * [backup-simplify]: Simplify 0 into 0 52.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 52.981 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 52.981 * [backup-simplify]: Simplify 0 into 0 52.981 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 52.981 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 52.981 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 52.982 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.982 * [taylor]: Taking taylor expansion of 2 in n 52.982 * [backup-simplify]: Simplify 2 into 2 52.982 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.982 * [taylor]: Taking taylor expansion of PI in n 52.982 * [backup-simplify]: Simplify PI into PI 52.982 * [taylor]: Taking taylor expansion of n in n 52.982 * [backup-simplify]: Simplify 0 into 0 52.982 * [backup-simplify]: Simplify 1 into 1 52.982 * [backup-simplify]: Simplify (/ PI 1) into PI 52.982 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.982 * [taylor]: Taking taylor expansion of 2 in n 52.982 * [backup-simplify]: Simplify 2 into 2 52.982 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.982 * [taylor]: Taking taylor expansion of PI in n 52.982 * [backup-simplify]: Simplify PI into PI 52.982 * [taylor]: Taking taylor expansion of n in n 52.982 * [backup-simplify]: Simplify 0 into 0 52.982 * [backup-simplify]: Simplify 1 into 1 52.982 * [backup-simplify]: Simplify (/ PI 1) into PI 52.983 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.983 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.984 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.984 * [backup-simplify]: Simplify 0 into 0 52.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.985 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.985 * [backup-simplify]: Simplify 0 into 0 52.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.986 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.986 * [backup-simplify]: Simplify 0 into 0 52.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 52.988 * [backup-simplify]: Simplify 0 into 0 52.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.989 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 52.989 * [backup-simplify]: Simplify 0 into 0 52.990 * [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 52.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 52.991 * [backup-simplify]: Simplify 0 into 0 52.991 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 52.991 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 52.991 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 52.991 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.991 * [taylor]: Taking taylor expansion of -2 in n 52.991 * [backup-simplify]: Simplify -2 into -2 52.991 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.991 * [taylor]: Taking taylor expansion of PI in n 52.991 * [backup-simplify]: Simplify PI into PI 52.991 * [taylor]: Taking taylor expansion of n in n 52.991 * [backup-simplify]: Simplify 0 into 0 52.991 * [backup-simplify]: Simplify 1 into 1 52.992 * [backup-simplify]: Simplify (/ PI 1) into PI 52.992 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.992 * [taylor]: Taking taylor expansion of -2 in n 52.992 * [backup-simplify]: Simplify -2 into -2 52.992 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.992 * [taylor]: Taking taylor expansion of PI in n 52.992 * [backup-simplify]: Simplify PI into PI 52.992 * [taylor]: Taking taylor expansion of n in n 52.992 * [backup-simplify]: Simplify 0 into 0 52.992 * [backup-simplify]: Simplify 1 into 1 52.992 * [backup-simplify]: Simplify (/ PI 1) into PI 52.992 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.993 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.994 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 52.994 * [backup-simplify]: Simplify 0 into 0 52.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.995 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 52.995 * [backup-simplify]: Simplify 0 into 0 52.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.996 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.996 * [backup-simplify]: Simplify 0 into 0 52.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.997 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 52.997 * [backup-simplify]: Simplify 0 into 0 52.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.999 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 52.999 * [backup-simplify]: Simplify 0 into 0 52.999 * [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 53.000 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 53.000 * [backup-simplify]: Simplify 0 into 0 53.000 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 53.001 * * * * [progress]: [ 3 / 3 ] generating series at (2) 53.001 * [backup-simplify]: Simplify (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 53.001 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 53.001 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 53.001 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 53.001 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 53.001 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 53.001 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 53.001 * [taylor]: Taking taylor expansion of 1/2 in n 53.001 * [backup-simplify]: Simplify 1/2 into 1/2 53.001 * [taylor]: Taking taylor expansion of (- 1 k) in n 53.001 * [taylor]: Taking taylor expansion of 1 in n 53.001 * [backup-simplify]: Simplify 1 into 1 53.001 * [taylor]: Taking taylor expansion of k in n 53.001 * [backup-simplify]: Simplify k into k 53.001 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.001 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.001 * [taylor]: Taking taylor expansion of 2 in n 53.001 * [backup-simplify]: Simplify 2 into 2 53.001 * [taylor]: Taking taylor expansion of (* n PI) in n 53.001 * [taylor]: Taking taylor expansion of n in n 53.001 * [backup-simplify]: Simplify 0 into 0 53.001 * [backup-simplify]: Simplify 1 into 1 53.001 * [taylor]: Taking taylor expansion of PI in n 53.001 * [backup-simplify]: Simplify PI into PI 53.002 * [backup-simplify]: Simplify (* 0 PI) into 0 53.002 * [backup-simplify]: Simplify (* 2 0) into 0 53.003 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.005 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.006 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.006 * [backup-simplify]: Simplify (- k) into (- k) 53.006 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 53.006 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 53.007 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.008 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 53.009 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 53.010 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 53.010 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.010 * [taylor]: Taking taylor expansion of k in n 53.010 * [backup-simplify]: Simplify k into k 53.010 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.010 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 53.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 53.010 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 53.010 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 53.010 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 53.010 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 53.010 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 53.010 * [taylor]: Taking taylor expansion of 1/2 in k 53.010 * [backup-simplify]: Simplify 1/2 into 1/2 53.010 * [taylor]: Taking taylor expansion of (- 1 k) in k 53.010 * [taylor]: Taking taylor expansion of 1 in k 53.010 * [backup-simplify]: Simplify 1 into 1 53.010 * [taylor]: Taking taylor expansion of k in k 53.010 * [backup-simplify]: Simplify 0 into 0 53.010 * [backup-simplify]: Simplify 1 into 1 53.010 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 53.010 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 53.010 * [taylor]: Taking taylor expansion of 2 in k 53.010 * [backup-simplify]: Simplify 2 into 2 53.010 * [taylor]: Taking taylor expansion of (* n PI) in k 53.010 * [taylor]: Taking taylor expansion of n in k 53.010 * [backup-simplify]: Simplify n into n 53.011 * [taylor]: Taking taylor expansion of PI in k 53.011 * [backup-simplify]: Simplify PI into PI 53.011 * [backup-simplify]: Simplify (* n PI) into (* n PI) 53.011 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 53.011 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 53.011 * [backup-simplify]: Simplify (- 0) into 0 53.012 * [backup-simplify]: Simplify (+ 1 0) into 1 53.012 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.012 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 53.012 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 53.012 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 53.012 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.012 * [taylor]: Taking taylor expansion of k in k 53.012 * [backup-simplify]: Simplify 0 into 0 53.012 * [backup-simplify]: Simplify 1 into 1 53.013 * [backup-simplify]: Simplify (/ 1 1) into 1 53.013 * [backup-simplify]: Simplify (sqrt 0) into 0 53.015 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.015 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 53.015 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 53.015 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 53.015 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 53.015 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 53.015 * [taylor]: Taking taylor expansion of 1/2 in k 53.015 * [backup-simplify]: Simplify 1/2 into 1/2 53.015 * [taylor]: Taking taylor expansion of (- 1 k) in k 53.015 * [taylor]: Taking taylor expansion of 1 in k 53.015 * [backup-simplify]: Simplify 1 into 1 53.015 * [taylor]: Taking taylor expansion of k in k 53.015 * [backup-simplify]: Simplify 0 into 0 53.015 * [backup-simplify]: Simplify 1 into 1 53.015 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 53.015 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 53.015 * [taylor]: Taking taylor expansion of 2 in k 53.015 * [backup-simplify]: Simplify 2 into 2 53.015 * [taylor]: Taking taylor expansion of (* n PI) in k 53.015 * [taylor]: Taking taylor expansion of n in k 53.015 * [backup-simplify]: Simplify n into n 53.015 * [taylor]: Taking taylor expansion of PI in k 53.015 * [backup-simplify]: Simplify PI into PI 53.015 * [backup-simplify]: Simplify (* n PI) into (* n PI) 53.015 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 53.016 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 53.016 * [backup-simplify]: Simplify (- 0) into 0 53.017 * [backup-simplify]: Simplify (+ 1 0) into 1 53.017 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.017 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 53.017 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 53.017 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 53.017 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.017 * [taylor]: Taking taylor expansion of k in k 53.017 * [backup-simplify]: Simplify 0 into 0 53.017 * [backup-simplify]: Simplify 1 into 1 53.018 * [backup-simplify]: Simplify (/ 1 1) into 1 53.018 * [backup-simplify]: Simplify (sqrt 0) into 0 53.019 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.020 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 53.020 * [taylor]: Taking taylor expansion of 0 in n 53.020 * [backup-simplify]: Simplify 0 into 0 53.020 * [backup-simplify]: Simplify 0 into 0 53.020 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 53.021 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 53.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 53.022 * [backup-simplify]: Simplify (- 1) into -1 53.022 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.023 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 53.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 53.024 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 53.024 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 53.025 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 53.025 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 53.025 * [taylor]: Taking taylor expansion of +nan.0 in n 53.025 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.025 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 53.025 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.025 * [taylor]: Taking taylor expansion of 2 in n 53.025 * [backup-simplify]: Simplify 2 into 2 53.025 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.026 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.026 * [taylor]: Taking taylor expansion of (* n PI) in n 53.026 * [taylor]: Taking taylor expansion of n in n 53.026 * [backup-simplify]: Simplify 0 into 0 53.026 * [backup-simplify]: Simplify 1 into 1 53.026 * [taylor]: Taking taylor expansion of PI in n 53.026 * [backup-simplify]: Simplify PI into PI 53.026 * [backup-simplify]: Simplify (* 0 PI) into 0 53.028 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.028 * [backup-simplify]: Simplify (sqrt 0) into 0 53.030 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.030 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 53.031 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.031 * [backup-simplify]: Simplify (- 0) into 0 53.031 * [backup-simplify]: Simplify 0 into 0 53.031 * [backup-simplify]: Simplify 0 into 0 53.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 53.035 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 53.036 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 53.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 53.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 53.039 * [backup-simplify]: Simplify (- 0) into 0 53.039 * [backup-simplify]: Simplify (+ 0 0) into 0 53.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 53.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 53.042 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 53.043 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 53.043 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 53.043 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 53.043 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 53.043 * [taylor]: Taking taylor expansion of +nan.0 in n 53.043 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.043 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 53.043 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 53.043 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.043 * [taylor]: Taking taylor expansion of 2 in n 53.043 * [backup-simplify]: Simplify 2 into 2 53.043 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.044 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.044 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.044 * [taylor]: Taking taylor expansion of 2 in n 53.044 * [backup-simplify]: Simplify 2 into 2 53.044 * [taylor]: Taking taylor expansion of (* n PI) in n 53.044 * [taylor]: Taking taylor expansion of n in n 53.044 * [backup-simplify]: Simplify 0 into 0 53.044 * [backup-simplify]: Simplify 1 into 1 53.044 * [taylor]: Taking taylor expansion of PI in n 53.044 * [backup-simplify]: Simplify PI into PI 53.045 * [backup-simplify]: Simplify (* 0 PI) into 0 53.045 * [backup-simplify]: Simplify (* 2 0) into 0 53.046 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.048 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.049 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.049 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.049 * [taylor]: Taking taylor expansion of (* n PI) in n 53.049 * [taylor]: Taking taylor expansion of n in n 53.049 * [backup-simplify]: Simplify 0 into 0 53.049 * [backup-simplify]: Simplify 1 into 1 53.049 * [taylor]: Taking taylor expansion of PI in n 53.049 * [backup-simplify]: Simplify PI into PI 53.049 * [backup-simplify]: Simplify (* 0 PI) into 0 53.051 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.051 * [backup-simplify]: Simplify (sqrt 0) into 0 53.053 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.053 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 53.053 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 53.053 * [taylor]: Taking taylor expansion of +nan.0 in n 53.053 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.053 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 53.053 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.053 * [taylor]: Taking taylor expansion of 2 in n 53.053 * [backup-simplify]: Simplify 2 into 2 53.053 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.054 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.054 * [taylor]: Taking taylor expansion of (* n PI) in n 53.054 * [taylor]: Taking taylor expansion of n in n 53.054 * [backup-simplify]: Simplify 0 into 0 53.054 * [backup-simplify]: Simplify 1 into 1 53.054 * [taylor]: Taking taylor expansion of PI in n 53.054 * [backup-simplify]: Simplify PI into PI 53.055 * [backup-simplify]: Simplify (* 0 PI) into 0 53.056 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.057 * [backup-simplify]: Simplify (sqrt 0) into 0 53.058 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.059 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.060 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 53.062 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 53.062 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.063 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 53.063 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.064 * [backup-simplify]: Simplify (- 0) into 0 53.064 * [backup-simplify]: Simplify (+ 0 0) into 0 53.064 * [backup-simplify]: Simplify (- 0) into 0 53.065 * [backup-simplify]: Simplify 0 into 0 53.067 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 53.073 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 53.076 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 53.079 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 53.079 * [backup-simplify]: Simplify 0 into 0 53.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 53.088 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.089 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 53.092 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 53.092 * [backup-simplify]: Simplify (- 0) into 0 53.093 * [backup-simplify]: Simplify (+ 0 0) into 0 53.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 53.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 53.097 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 53.099 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 53.099 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 53.099 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 53.099 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 53.099 * [taylor]: Taking taylor expansion of +nan.0 in n 53.099 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.099 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 53.099 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 53.099 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.099 * [taylor]: Taking taylor expansion of 2 in n 53.099 * [backup-simplify]: Simplify 2 into 2 53.099 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.100 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.100 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.100 * [taylor]: Taking taylor expansion of 2 in n 53.100 * [backup-simplify]: Simplify 2 into 2 53.100 * [taylor]: Taking taylor expansion of (* n PI) in n 53.100 * [taylor]: Taking taylor expansion of n in n 53.100 * [backup-simplify]: Simplify 0 into 0 53.100 * [backup-simplify]: Simplify 1 into 1 53.100 * [taylor]: Taking taylor expansion of PI in n 53.100 * [backup-simplify]: Simplify PI into PI 53.101 * [backup-simplify]: Simplify (* 0 PI) into 0 53.101 * [backup-simplify]: Simplify (* 2 0) into 0 53.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.104 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.105 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.105 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.105 * [taylor]: Taking taylor expansion of (* n PI) in n 53.105 * [taylor]: Taking taylor expansion of n in n 53.105 * [backup-simplify]: Simplify 0 into 0 53.105 * [backup-simplify]: Simplify 1 into 1 53.106 * [taylor]: Taking taylor expansion of PI in n 53.106 * [backup-simplify]: Simplify PI into PI 53.106 * [backup-simplify]: Simplify (* 0 PI) into 0 53.107 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.108 * [backup-simplify]: Simplify (sqrt 0) into 0 53.109 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.109 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 53.109 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 53.109 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 53.109 * [taylor]: Taking taylor expansion of +nan.0 in n 53.109 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.109 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 53.109 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.109 * [taylor]: Taking taylor expansion of 2 in n 53.109 * [backup-simplify]: Simplify 2 into 2 53.110 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.110 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.110 * [taylor]: Taking taylor expansion of (* n PI) in n 53.111 * [taylor]: Taking taylor expansion of n in n 53.111 * [backup-simplify]: Simplify 0 into 0 53.111 * [backup-simplify]: Simplify 1 into 1 53.111 * [taylor]: Taking taylor expansion of PI in n 53.111 * [backup-simplify]: Simplify PI into PI 53.111 * [backup-simplify]: Simplify (* 0 PI) into 0 53.113 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.113 * [backup-simplify]: Simplify (sqrt 0) into 0 53.115 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.115 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 53.115 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 53.115 * [taylor]: Taking taylor expansion of +nan.0 in n 53.115 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.115 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 53.115 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 53.115 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.115 * [taylor]: Taking taylor expansion of 2 in n 53.115 * [backup-simplify]: Simplify 2 into 2 53.115 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.116 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 53.116 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.116 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.116 * [taylor]: Taking taylor expansion of 2 in n 53.116 * [backup-simplify]: Simplify 2 into 2 53.116 * [taylor]: Taking taylor expansion of (* n PI) in n 53.116 * [taylor]: Taking taylor expansion of n in n 53.116 * [backup-simplify]: Simplify 0 into 0 53.116 * [backup-simplify]: Simplify 1 into 1 53.116 * [taylor]: Taking taylor expansion of PI in n 53.116 * [backup-simplify]: Simplify PI into PI 53.117 * [backup-simplify]: Simplify (* 0 PI) into 0 53.117 * [backup-simplify]: Simplify (* 2 0) into 0 53.119 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.120 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.121 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.123 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.123 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.123 * [taylor]: Taking taylor expansion of (* n PI) in n 53.123 * [taylor]: Taking taylor expansion of n in n 53.123 * [backup-simplify]: Simplify 0 into 0 53.123 * [backup-simplify]: Simplify 1 into 1 53.123 * [taylor]: Taking taylor expansion of PI in n 53.123 * [backup-simplify]: Simplify PI into PI 53.124 * [backup-simplify]: Simplify (* 0 PI) into 0 53.125 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.126 * [backup-simplify]: Simplify (sqrt 0) into 0 53.127 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.129 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.130 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 53.131 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 53.132 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.132 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 53.133 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.134 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.136 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.138 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 53.140 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 53.141 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 53.142 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.142 * [backup-simplify]: Simplify (- 0) into 0 53.143 * [backup-simplify]: Simplify (+ 0 0) into 0 53.143 * [backup-simplify]: Simplify (- 0) into 0 53.143 * [backup-simplify]: Simplify (+ 0 0) into 0 53.144 * [backup-simplify]: Simplify (- 0) into 0 53.144 * [backup-simplify]: Simplify 0 into 0 53.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 53.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 53.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.149 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.151 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 53.153 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 53.159 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 53.162 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 53.165 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 53.167 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 53.172 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 53.176 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 53.181 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 53.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 53.184 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 53.184 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 53.187 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 53.192 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 53.195 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 53.201 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 53.214 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 53.215 * [backup-simplify]: Simplify (* (pow (/ 1 k) -1/2) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 53.215 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 53.215 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 53.215 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 53.215 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 53.215 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 53.215 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 53.215 * [taylor]: Taking taylor expansion of 1/2 in n 53.215 * [backup-simplify]: Simplify 1/2 into 1/2 53.215 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.215 * [taylor]: Taking taylor expansion of 1 in n 53.215 * [backup-simplify]: Simplify 1 into 1 53.215 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.215 * [taylor]: Taking taylor expansion of k in n 53.215 * [backup-simplify]: Simplify k into k 53.215 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.215 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.215 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.215 * [taylor]: Taking taylor expansion of 2 in n 53.215 * [backup-simplify]: Simplify 2 into 2 53.215 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.215 * [taylor]: Taking taylor expansion of PI in n 53.216 * [backup-simplify]: Simplify PI into PI 53.216 * [taylor]: Taking taylor expansion of n in n 53.216 * [backup-simplify]: Simplify 0 into 0 53.216 * [backup-simplify]: Simplify 1 into 1 53.216 * [backup-simplify]: Simplify (/ PI 1) into PI 53.217 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.217 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.218 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.218 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.218 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 53.219 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.220 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.221 * [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))))) 53.221 * [taylor]: Taking taylor expansion of (sqrt k) in n 53.221 * [taylor]: Taking taylor expansion of k in n 53.221 * [backup-simplify]: Simplify k into k 53.221 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 53.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 53.221 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 53.222 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 53.222 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 53.222 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 53.222 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 53.222 * [taylor]: Taking taylor expansion of 1/2 in k 53.222 * [backup-simplify]: Simplify 1/2 into 1/2 53.222 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 53.222 * [taylor]: Taking taylor expansion of 1 in k 53.222 * [backup-simplify]: Simplify 1 into 1 53.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.222 * [taylor]: Taking taylor expansion of k in k 53.222 * [backup-simplify]: Simplify 0 into 0 53.222 * [backup-simplify]: Simplify 1 into 1 53.222 * [backup-simplify]: Simplify (/ 1 1) into 1 53.222 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 53.222 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 53.222 * [taylor]: Taking taylor expansion of 2 in k 53.222 * [backup-simplify]: Simplify 2 into 2 53.222 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.222 * [taylor]: Taking taylor expansion of PI in k 53.222 * [backup-simplify]: Simplify PI into PI 53.222 * [taylor]: Taking taylor expansion of n in k 53.222 * [backup-simplify]: Simplify n into n 53.223 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.223 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 53.223 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 53.223 * [backup-simplify]: Simplify (- 1) into -1 53.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.224 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 53.224 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 53.225 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 53.225 * [taylor]: Taking taylor expansion of (sqrt k) in k 53.225 * [taylor]: Taking taylor expansion of k in k 53.225 * [backup-simplify]: Simplify 0 into 0 53.225 * [backup-simplify]: Simplify 1 into 1 53.225 * [backup-simplify]: Simplify (sqrt 0) into 0 53.227 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.227 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 53.227 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 53.227 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 53.227 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 53.227 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 53.227 * [taylor]: Taking taylor expansion of 1/2 in k 53.227 * [backup-simplify]: Simplify 1/2 into 1/2 53.227 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 53.227 * [taylor]: Taking taylor expansion of 1 in k 53.227 * [backup-simplify]: Simplify 1 into 1 53.227 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.227 * [taylor]: Taking taylor expansion of k in k 53.227 * [backup-simplify]: Simplify 0 into 0 53.227 * [backup-simplify]: Simplify 1 into 1 53.227 * [backup-simplify]: Simplify (/ 1 1) into 1 53.227 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 53.227 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 53.227 * [taylor]: Taking taylor expansion of 2 in k 53.227 * [backup-simplify]: Simplify 2 into 2 53.227 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.227 * [taylor]: Taking taylor expansion of PI in k 53.227 * [backup-simplify]: Simplify PI into PI 53.227 * [taylor]: Taking taylor expansion of n in k 53.228 * [backup-simplify]: Simplify n into n 53.228 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.228 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 53.228 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 53.228 * [backup-simplify]: Simplify (- 1) into -1 53.229 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.229 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 53.229 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 53.229 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 53.229 * [taylor]: Taking taylor expansion of (sqrt k) in k 53.229 * [taylor]: Taking taylor expansion of k in k 53.229 * [backup-simplify]: Simplify 0 into 0 53.229 * [backup-simplify]: Simplify 1 into 1 53.230 * [backup-simplify]: Simplify (sqrt 0) into 0 53.231 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.231 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 53.232 * [taylor]: Taking taylor expansion of 0 in n 53.232 * [backup-simplify]: Simplify 0 into 0 53.232 * [backup-simplify]: Simplify 0 into 0 53.232 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 53.232 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 53.232 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 53.232 * [taylor]: Taking taylor expansion of +nan.0 in n 53.232 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.232 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 53.232 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 53.232 * [taylor]: Taking taylor expansion of 1/2 in n 53.233 * [backup-simplify]: Simplify 1/2 into 1/2 53.233 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 53.233 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.233 * [taylor]: Taking taylor expansion of 1 in n 53.233 * [backup-simplify]: Simplify 1 into 1 53.233 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.233 * [taylor]: Taking taylor expansion of k in n 53.233 * [backup-simplify]: Simplify k into k 53.233 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.233 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.233 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.233 * [taylor]: Taking taylor expansion of 2 in n 53.233 * [backup-simplify]: Simplify 2 into 2 53.233 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.233 * [taylor]: Taking taylor expansion of PI in n 53.233 * [backup-simplify]: Simplify PI into PI 53.233 * [taylor]: Taking taylor expansion of n in n 53.233 * [backup-simplify]: Simplify 0 into 0 53.233 * [backup-simplify]: Simplify 1 into 1 53.234 * [backup-simplify]: Simplify (/ PI 1) into PI 53.234 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.235 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.235 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.235 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.237 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.238 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 53.239 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.240 * [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))))) 53.241 * [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)))))) 53.242 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 53.244 * [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))))))) 53.244 * [backup-simplify]: Simplify 0 into 0 53.247 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 53.248 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 53.248 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 53.248 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 53.248 * [taylor]: Taking taylor expansion of +nan.0 in n 53.248 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.248 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 53.248 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 53.248 * [taylor]: Taking taylor expansion of 1/2 in n 53.248 * [backup-simplify]: Simplify 1/2 into 1/2 53.248 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 53.248 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.248 * [taylor]: Taking taylor expansion of 1 in n 53.248 * [backup-simplify]: Simplify 1 into 1 53.248 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.248 * [taylor]: Taking taylor expansion of k in n 53.248 * [backup-simplify]: Simplify k into k 53.248 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.248 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.248 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.248 * [taylor]: Taking taylor expansion of 2 in n 53.248 * [backup-simplify]: Simplify 2 into 2 53.248 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.248 * [taylor]: Taking taylor expansion of PI in n 53.249 * [backup-simplify]: Simplify PI into PI 53.249 * [taylor]: Taking taylor expansion of n in n 53.249 * [backup-simplify]: Simplify 0 into 0 53.249 * [backup-simplify]: Simplify 1 into 1 53.249 * [backup-simplify]: Simplify (/ PI 1) into PI 53.250 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.251 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.251 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.251 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.252 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.253 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 53.254 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.255 * [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))))) 53.257 * [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)))))) 53.258 * [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))))))) 53.259 * [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))))))) 53.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.261 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 53.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.263 * [backup-simplify]: Simplify (- 0) into 0 53.264 * [backup-simplify]: Simplify (+ 0 0) into 0 53.265 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.266 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 53.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 53.270 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.271 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 53.272 * [backup-simplify]: Simplify (- 0) into 0 53.272 * [backup-simplify]: Simplify 0 into 0 53.272 * [backup-simplify]: Simplify 0 into 0 53.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 53.277 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 53.277 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 53.277 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 53.277 * [taylor]: Taking taylor expansion of +nan.0 in n 53.277 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.277 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 53.277 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 53.277 * [taylor]: Taking taylor expansion of 1/2 in n 53.277 * [backup-simplify]: Simplify 1/2 into 1/2 53.277 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 53.277 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.277 * [taylor]: Taking taylor expansion of 1 in n 53.278 * [backup-simplify]: Simplify 1 into 1 53.278 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.278 * [taylor]: Taking taylor expansion of k in n 53.278 * [backup-simplify]: Simplify k into k 53.278 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.278 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.278 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.278 * [taylor]: Taking taylor expansion of 2 in n 53.278 * [backup-simplify]: Simplify 2 into 2 53.278 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.278 * [taylor]: Taking taylor expansion of PI in n 53.278 * [backup-simplify]: Simplify PI into PI 53.278 * [taylor]: Taking taylor expansion of n in n 53.278 * [backup-simplify]: Simplify 0 into 0 53.278 * [backup-simplify]: Simplify 1 into 1 53.278 * [backup-simplify]: Simplify (/ PI 1) into PI 53.279 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.279 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.279 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.279 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.280 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.281 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 53.281 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.282 * [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))))) 53.283 * [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)))))) 53.284 * [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))))))) 53.285 * [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))))))) 53.287 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 53.287 * [backup-simplify]: Simplify (* (pow (/ 1 (- k)) -1/2) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 53.287 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 53.287 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 53.287 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 53.287 * [taylor]: Taking taylor expansion of (/ k -1) in n 53.287 * [taylor]: Taking taylor expansion of k in n 53.287 * [backup-simplify]: Simplify k into k 53.287 * [taylor]: Taking taylor expansion of -1 in n 53.288 * [backup-simplify]: Simplify -1 into -1 53.288 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 53.288 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 53.288 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 53.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 53.288 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 53.288 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 53.288 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 53.288 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 53.288 * [taylor]: Taking taylor expansion of 1/2 in n 53.288 * [backup-simplify]: Simplify 1/2 into 1/2 53.288 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.288 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.288 * [taylor]: Taking taylor expansion of k in n 53.288 * [backup-simplify]: Simplify k into k 53.288 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.288 * [taylor]: Taking taylor expansion of 1 in n 53.288 * [backup-simplify]: Simplify 1 into 1 53.288 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.288 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.288 * [taylor]: Taking taylor expansion of -2 in n 53.288 * [backup-simplify]: Simplify -2 into -2 53.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.289 * [taylor]: Taking taylor expansion of PI in n 53.289 * [backup-simplify]: Simplify PI into PI 53.289 * [taylor]: Taking taylor expansion of n in n 53.289 * [backup-simplify]: Simplify 0 into 0 53.289 * [backup-simplify]: Simplify 1 into 1 53.289 * [backup-simplify]: Simplify (/ PI 1) into PI 53.289 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.290 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.290 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.290 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 53.291 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.291 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.292 * [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))))) 53.292 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 53.292 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 53.292 * [taylor]: Taking taylor expansion of (/ k -1) in k 53.292 * [taylor]: Taking taylor expansion of k in k 53.292 * [backup-simplify]: Simplify 0 into 0 53.292 * [backup-simplify]: Simplify 1 into 1 53.292 * [taylor]: Taking taylor expansion of -1 in k 53.292 * [backup-simplify]: Simplify -1 into -1 53.292 * [backup-simplify]: Simplify (/ 1 -1) into -1 53.293 * [backup-simplify]: Simplify (sqrt 0) into 0 53.293 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 53.294 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 53.294 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 53.294 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 53.294 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 53.294 * [taylor]: Taking taylor expansion of 1/2 in k 53.294 * [backup-simplify]: Simplify 1/2 into 1/2 53.294 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 53.294 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.294 * [taylor]: Taking taylor expansion of k in k 53.294 * [backup-simplify]: Simplify 0 into 0 53.294 * [backup-simplify]: Simplify 1 into 1 53.294 * [backup-simplify]: Simplify (/ 1 1) into 1 53.294 * [taylor]: Taking taylor expansion of 1 in k 53.294 * [backup-simplify]: Simplify 1 into 1 53.294 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 53.294 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 53.294 * [taylor]: Taking taylor expansion of -2 in k 53.294 * [backup-simplify]: Simplify -2 into -2 53.294 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.294 * [taylor]: Taking taylor expansion of PI in k 53.294 * [backup-simplify]: Simplify PI into PI 53.294 * [taylor]: Taking taylor expansion of n in k 53.294 * [backup-simplify]: Simplify n into n 53.294 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.294 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 53.294 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 53.295 * [backup-simplify]: Simplify (+ 1 0) into 1 53.295 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.295 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 53.295 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 53.295 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 53.295 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 53.295 * [taylor]: Taking taylor expansion of (/ k -1) in k 53.295 * [taylor]: Taking taylor expansion of k in k 53.295 * [backup-simplify]: Simplify 0 into 0 53.295 * [backup-simplify]: Simplify 1 into 1 53.295 * [taylor]: Taking taylor expansion of -1 in k 53.295 * [backup-simplify]: Simplify -1 into -1 53.295 * [backup-simplify]: Simplify (/ 1 -1) into -1 53.296 * [backup-simplify]: Simplify (sqrt 0) into 0 53.296 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 53.296 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 53.296 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 53.296 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 53.296 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 53.296 * [taylor]: Taking taylor expansion of 1/2 in k 53.296 * [backup-simplify]: Simplify 1/2 into 1/2 53.297 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 53.297 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.297 * [taylor]: Taking taylor expansion of k in k 53.297 * [backup-simplify]: Simplify 0 into 0 53.297 * [backup-simplify]: Simplify 1 into 1 53.297 * [backup-simplify]: Simplify (/ 1 1) into 1 53.297 * [taylor]: Taking taylor expansion of 1 in k 53.297 * [backup-simplify]: Simplify 1 into 1 53.297 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 53.297 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 53.297 * [taylor]: Taking taylor expansion of -2 in k 53.297 * [backup-simplify]: Simplify -2 into -2 53.297 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.297 * [taylor]: Taking taylor expansion of PI in k 53.297 * [backup-simplify]: Simplify PI into PI 53.297 * [taylor]: Taking taylor expansion of n in k 53.297 * [backup-simplify]: Simplify n into n 53.297 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.297 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 53.297 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 53.297 * [backup-simplify]: Simplify (+ 1 0) into 1 53.298 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.298 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 53.298 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 53.298 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into 0 53.298 * [taylor]: Taking taylor expansion of 0 in n 53.298 * [backup-simplify]: Simplify 0 into 0 53.298 * [backup-simplify]: Simplify 0 into 0 53.299 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 53.299 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 53.299 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 53.299 * [taylor]: Taking taylor expansion of +nan.0 in n 53.299 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.299 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 53.299 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 53.299 * [taylor]: Taking taylor expansion of 1/2 in n 53.299 * [backup-simplify]: Simplify 1/2 into 1/2 53.299 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 53.299 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.299 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.299 * [taylor]: Taking taylor expansion of -2 in n 53.299 * [backup-simplify]: Simplify -2 into -2 53.299 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.299 * [taylor]: Taking taylor expansion of PI in n 53.299 * [backup-simplify]: Simplify PI into PI 53.299 * [taylor]: Taking taylor expansion of n in n 53.299 * [backup-simplify]: Simplify 0 into 0 53.299 * [backup-simplify]: Simplify 1 into 1 53.299 * [backup-simplify]: Simplify (/ PI 1) into PI 53.299 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.300 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.300 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.300 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.300 * [taylor]: Taking taylor expansion of k in n 53.300 * [backup-simplify]: Simplify k into k 53.300 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.300 * [taylor]: Taking taylor expansion of 1 in n 53.300 * [backup-simplify]: Simplify 1 into 1 53.301 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.301 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.302 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 53.302 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.303 * [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))))) 53.304 * [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)))))) 53.304 * [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))))))) 53.305 * [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))))))) 53.305 * [backup-simplify]: Simplify 0 into 0 53.306 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 53.309 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 53.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 53.310 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 53.310 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 53.310 * [taylor]: Taking taylor expansion of +nan.0 in n 53.310 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.310 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 53.310 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 53.310 * [taylor]: Taking taylor expansion of 1/2 in n 53.310 * [backup-simplify]: Simplify 1/2 into 1/2 53.310 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 53.310 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.310 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.310 * [taylor]: Taking taylor expansion of -2 in n 53.310 * [backup-simplify]: Simplify -2 into -2 53.310 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.310 * [taylor]: Taking taylor expansion of PI in n 53.310 * [backup-simplify]: Simplify PI into PI 53.310 * [taylor]: Taking taylor expansion of n in n 53.310 * [backup-simplify]: Simplify 0 into 0 53.310 * [backup-simplify]: Simplify 1 into 1 53.311 * [backup-simplify]: Simplify (/ PI 1) into PI 53.311 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.312 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.312 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.312 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.312 * [taylor]: Taking taylor expansion of k in n 53.313 * [backup-simplify]: Simplify k into k 53.313 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.313 * [taylor]: Taking taylor expansion of 1 in n 53.313 * [backup-simplify]: Simplify 1 into 1 53.314 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.314 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.315 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 53.316 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.317 * [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))))) 53.319 * [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)))))) 53.320 * [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))))))) 53.321 * [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))))))) 53.323 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.323 * [backup-simplify]: Simplify (+ 0 0) into 0 53.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.328 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 53.332 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 53.333 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 53.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 53.337 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.339 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 53.339 * [backup-simplify]: Simplify (- 0) into 0 53.339 * [backup-simplify]: Simplify 0 into 0 53.339 * [backup-simplify]: Simplify 0 into 0 53.340 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 53.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 53.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 53.346 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 53.346 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 53.346 * [taylor]: Taking taylor expansion of +nan.0 in n 53.346 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.346 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 53.346 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 53.346 * [taylor]: Taking taylor expansion of 1/2 in n 53.346 * [backup-simplify]: Simplify 1/2 into 1/2 53.346 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 53.346 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.346 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.346 * [taylor]: Taking taylor expansion of -2 in n 53.346 * [backup-simplify]: Simplify -2 into -2 53.346 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.346 * [taylor]: Taking taylor expansion of PI in n 53.346 * [backup-simplify]: Simplify PI into PI 53.346 * [taylor]: Taking taylor expansion of n in n 53.346 * [backup-simplify]: Simplify 0 into 0 53.346 * [backup-simplify]: Simplify 1 into 1 53.347 * [backup-simplify]: Simplify (/ PI 1) into PI 53.347 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.348 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.348 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.348 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.348 * [taylor]: Taking taylor expansion of k in n 53.348 * [backup-simplify]: Simplify k into k 53.348 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.348 * [taylor]: Taking taylor expansion of 1 in n 53.348 * [backup-simplify]: Simplify 1 into 1 53.350 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.350 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.351 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 53.352 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.353 * [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))))) 53.354 * [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)))))) 53.355 * [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))))))) 53.356 * [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))))))) 53.361 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))) 53.361 * * * [progress]: simplifying candidates 53.361 * * * * [progress]: [ 1 / 112 ] simplifiying candidate # 53.361 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 53.361 * * [simplify]: iters left: 6 (13 enodes) 53.369 * * [simplify]: iters left: 5 (54 enodes) 53.383 * * [simplify]: iters left: 4 (97 enodes) 53.403 * * [simplify]: iters left: 3 (246 enodes) 53.464 * * [simplify]: Extracting #0: cost 1 inf + 0 53.464 * * [simplify]: Extracting #1: cost 28 inf + 0 53.464 * * [simplify]: Extracting #2: cost 93 inf + 2 53.464 * * [simplify]: Extracting #3: cost 138 inf + 186 53.465 * * [simplify]: Extracting #4: cost 108 inf + 3370 53.472 * * [simplify]: Extracting #5: cost 33 inf + 22278 53.484 * * [simplify]: Extracting #6: cost 2 inf + 32881 53.493 * * [simplify]: Extracting #7: cost 0 inf + 33789 53.500 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 53.500 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 53.500 * * * * [progress]: [ 2 / 112 ] simplifiying candidate # 53.500 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 53.500 * * [simplify]: iters left: 6 (12 enodes) 53.505 * * [simplify]: iters left: 5 (52 enodes) 53.516 * * [simplify]: iters left: 4 (90 enodes) 53.533 * * [simplify]: iters left: 3 (201 enodes) 53.597 * * [simplify]: iters left: 2 (496 enodes) 53.880 * * [simplify]: Extracting #0: cost 1 inf + 0 53.880 * * [simplify]: Extracting #1: cost 22 inf + 0 53.881 * * [simplify]: Extracting #2: cost 123 inf + 2 53.882 * * [simplify]: Extracting #3: cost 296 inf + 186 53.887 * * [simplify]: Extracting #4: cost 244 inf + 9812 53.899 * * [simplify]: Extracting #5: cost 93 inf + 50654 53.914 * * [simplify]: Extracting #6: cost 0 inf + 82473 53.940 * * [simplify]: Extracting #7: cost 0 inf + 82467 53.957 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 53.957 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))) 53.957 * * * * [progress]: [ 3 / 112 ] simplifiying candidate # 53.957 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 53.957 * * [simplify]: iters left: 6 (11 enodes) 53.961 * * [simplify]: iters left: 5 (51 enodes) 53.969 * * [simplify]: iters left: 4 (97 enodes) 54.002 * * [simplify]: iters left: 3 (198 enodes) 54.055 * * [simplify]: iters left: 2 (492 enodes) 54.318 * * [simplify]: Extracting #0: cost 1 inf + 0 54.318 * * [simplify]: Extracting #1: cost 27 inf + 0 54.319 * * [simplify]: Extracting #2: cost 138 inf + 2 54.320 * * [simplify]: Extracting #3: cost 300 inf + 352 54.323 * * [simplify]: Extracting #4: cost 251 inf + 8938 54.345 * * [simplify]: Extracting #5: cost 48 inf + 62855 54.362 * * [simplify]: Extracting #6: cost 0 inf + 74672 54.378 * * [simplify]: Extracting #7: cost 0 inf + 74341 54.393 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2) 54.393 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)))) 54.393 * * * * [progress]: [ 4 / 112 ] simplifiying candidate # 54.393 * * * * [progress]: [ 5 / 112 ] simplifiying candidate # 54.393 * [simplify]: Simplifying (* (* 2 PI) n) 54.393 * * [simplify]: iters left: 4 (5 enodes) 54.395 * * [simplify]: iters left: 3 (19 enodes) 54.398 * * [simplify]: iters left: 2 (27 enodes) 54.408 * * [simplify]: iters left: 1 (32 enodes) 54.415 * * [simplify]: Extracting #0: cost 1 inf + 0 54.415 * * [simplify]: Extracting #1: cost 8 inf + 0 54.415 * * [simplify]: Extracting #2: cost 7 inf + 45 54.416 * * [simplify]: Extracting #3: cost 0 inf + 421 54.416 * [simplify]: Simplified to (* (* 2 PI) n) 54.416 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 54.416 * * * * [progress]: [ 6 / 112 ] simplifiying candidate # 54.417 * [simplify]: Simplifying (* (* 2 PI) n) 54.417 * * [simplify]: iters left: 4 (5 enodes) 54.419 * * [simplify]: iters left: 3 (19 enodes) 54.425 * * [simplify]: iters left: 2 (27 enodes) 54.433 * * [simplify]: iters left: 1 (32 enodes) 54.441 * * [simplify]: Extracting #0: cost 1 inf + 0 54.441 * * [simplify]: Extracting #1: cost 8 inf + 0 54.442 * * [simplify]: Extracting #2: cost 7 inf + 45 54.442 * * [simplify]: Extracting #3: cost 0 inf + 421 54.442 * [simplify]: Simplified to (* (* 2 PI) n) 54.442 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 54.442 * * * * [progress]: [ 7 / 112 ] simplifiying candidate # 54.443 * [simplify]: Simplifying (* (* 2 PI) n) 54.443 * * [simplify]: iters left: 4 (5 enodes) 54.446 * * [simplify]: iters left: 3 (19 enodes) 54.452 * * [simplify]: iters left: 2 (27 enodes) 54.460 * * [simplify]: iters left: 1 (32 enodes) 54.467 * * [simplify]: Extracting #0: cost 1 inf + 0 54.467 * * [simplify]: Extracting #1: cost 8 inf + 0 54.467 * * [simplify]: Extracting #2: cost 7 inf + 45 54.468 * * [simplify]: Extracting #3: cost 0 inf + 421 54.468 * [simplify]: Simplified to (* (* 2 PI) n) 54.468 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 54.468 * * * * [progress]: [ 8 / 112 ] simplifiying candidate # 54.468 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 54.469 * * [simplify]: iters left: 5 (8 enodes) 54.473 * * [simplify]: iters left: 4 (31 enodes) 54.483 * * [simplify]: iters left: 3 (51 enodes) 54.499 * * [simplify]: iters left: 2 (85 enodes) 54.525 * * [simplify]: iters left: 1 (152 enodes) 54.555 * * [simplify]: Extracting #0: cost 1 inf + 0 54.555 * * [simplify]: Extracting #1: cost 13 inf + 0 54.555 * * [simplify]: Extracting #2: cost 60 inf + 1 54.555 * * [simplify]: Extracting #3: cost 76 inf + 51 54.556 * * [simplify]: Extracting #4: cost 44 inf + 2846 54.557 * * [simplify]: Extracting #5: cost 21 inf + 7590 54.560 * * [simplify]: Extracting #6: cost 1 inf + 20687 54.563 * * [simplify]: Extracting #7: cost 0 inf + 20539 54.569 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 54.569 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 54.569 * * * * [progress]: [ 9 / 112 ] simplifiying candidate # 54.569 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 54.569 * * [simplify]: iters left: 5 (6 enodes) 54.574 * * [simplify]: iters left: 4 (26 enodes) 54.581 * * [simplify]: iters left: 3 (35 enodes) 54.586 * * [simplify]: Extracting #0: cost 1 inf + 0 54.586 * * [simplify]: Extracting #1: cost 3 inf + 0 54.586 * * [simplify]: Extracting #2: cost 8 inf + 0 54.587 * * [simplify]: Extracting #3: cost 11 inf + 2 54.587 * * [simplify]: Extracting #4: cost 8 inf + 87 54.587 * * [simplify]: Extracting #5: cost 2 inf + 500 54.587 * * [simplify]: Extracting #6: cost 0 inf + 746 54.587 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 54.587 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 54.587 * * * * [progress]: [ 10 / 112 ] simplifiying candidate # 54.587 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 54.587 * * [simplify]: iters left: 5 (6 enodes) 54.589 * * [simplify]: iters left: 4 (26 enodes) 54.594 * * [simplify]: iters left: 3 (35 enodes) 54.598 * * [simplify]: Extracting #0: cost 1 inf + 0 54.599 * * [simplify]: Extracting #1: cost 3 inf + 0 54.599 * * [simplify]: Extracting #2: cost 8 inf + 0 54.599 * * [simplify]: Extracting #3: cost 11 inf + 2 54.599 * * [simplify]: Extracting #4: cost 8 inf + 87 54.599 * * [simplify]: Extracting #5: cost 2 inf + 460 54.599 * * [simplify]: Extracting #6: cost 0 inf + 666 54.599 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 54.599 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 54.599 * * * * [progress]: [ 11 / 112 ] simplifiying candidate # 54.599 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 54.600 * * [simplify]: iters left: 5 (7 enodes) 54.602 * * [simplify]: iters left: 4 (25 enodes) 54.606 * * [simplify]: iters left: 3 (30 enodes) 54.611 * * [simplify]: Extracting #0: cost 1 inf + 0 54.611 * * [simplify]: Extracting #1: cost 4 inf + 0 54.611 * * [simplify]: Extracting #2: cost 8 inf + 0 54.612 * * [simplify]: Extracting #3: cost 10 inf + 82 54.612 * * [simplify]: Extracting #4: cost 7 inf + 206 54.612 * * [simplify]: Extracting #5: cost 2 inf + 575 54.612 * * [simplify]: Extracting #6: cost 1 inf + 818 54.612 * * [simplify]: Extracting #7: cost 0 inf + 1061 54.613 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 54.613 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 54.613 * * * * [progress]: [ 12 / 112 ] simplifiying candidate # 54.613 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 54.613 * * [simplify]: iters left: 5 (7 enodes) 54.618 * * [simplify]: iters left: 4 (25 enodes) 54.627 * * [simplify]: iters left: 3 (30 enodes) 54.636 * * [simplify]: Extracting #0: cost 1 inf + 0 54.636 * * [simplify]: Extracting #1: cost 4 inf + 0 54.636 * * [simplify]: Extracting #2: cost 8 inf + 0 54.636 * * [simplify]: Extracting #3: cost 10 inf + 42 54.636 * * [simplify]: Extracting #4: cost 7 inf + 126 54.637 * * [simplify]: Extracting #5: cost 2 inf + 495 54.637 * * [simplify]: Extracting #6: cost 1 inf + 698 54.637 * * [simplify]: Extracting #7: cost 0 inf + 901 54.640 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 54.640 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 54.640 * * * * [progress]: [ 13 / 112 ] simplifiying candidate # 54.641 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 54.641 * * [simplify]: iters left: 5 (6 enodes) 54.644 * * [simplify]: iters left: 4 (22 enodes) 54.649 * * [simplify]: iters left: 3 (27 enodes) 54.653 * * [simplify]: Extracting #0: cost 1 inf + 0 54.653 * * [simplify]: Extracting #1: cost 4 inf + 0 54.653 * * [simplify]: Extracting #2: cost 5 inf + 1 54.653 * * [simplify]: Extracting #3: cost 9 inf + 1 54.653 * * [simplify]: Extracting #4: cost 8 inf + 3 54.653 * * [simplify]: Extracting #5: cost 4 inf + 169 54.653 * * [simplify]: Extracting #6: cost 1 inf + 576 54.653 * * [simplify]: Extracting #7: cost 0 inf + 739 54.654 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 54.654 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 54.654 * * * * [progress]: [ 14 / 112 ] simplifiying candidate # 54.654 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 54.654 * * [simplify]: iters left: 5 (7 enodes) 54.656 * * [simplify]: iters left: 4 (25 enodes) 54.660 * * [simplify]: iters left: 3 (30 enodes) 54.665 * * [simplify]: Extracting #0: cost 1 inf + 0 54.665 * * [simplify]: Extracting #1: cost 4 inf + 0 54.665 * * [simplify]: Extracting #2: cost 8 inf + 0 54.665 * * [simplify]: Extracting #3: cost 10 inf + 82 54.665 * * [simplify]: Extracting #4: cost 7 inf + 206 54.665 * * [simplify]: Extracting #5: cost 2 inf + 495 54.665 * * [simplify]: Extracting #6: cost 1 inf + 698 54.665 * * [simplify]: Extracting #7: cost 0 inf + 901 54.665 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 54.666 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 54.666 * * * * [progress]: [ 15 / 112 ] simplifiying candidate # 54.666 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 54.666 * * [simplify]: iters left: 5 (7 enodes) 54.668 * * [simplify]: iters left: 4 (25 enodes) 54.672 * * [simplify]: iters left: 3 (30 enodes) 54.677 * * [simplify]: Extracting #0: cost 1 inf + 0 54.677 * * [simplify]: Extracting #1: cost 4 inf + 0 54.677 * * [simplify]: Extracting #2: cost 8 inf + 0 54.677 * * [simplify]: Extracting #3: cost 10 inf + 42 54.677 * * [simplify]: Extracting #4: cost 7 inf + 126 54.677 * * [simplify]: Extracting #5: cost 2 inf + 415 54.677 * * [simplify]: Extracting #6: cost 1 inf + 578 54.677 * * [simplify]: Extracting #7: cost 0 inf + 741 54.678 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 54.678 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 54.678 * * * * [progress]: [ 16 / 112 ] simplifiying candidate # 54.678 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 54.678 * * [simplify]: iters left: 5 (6 enodes) 54.680 * * [simplify]: iters left: 4 (22 enodes) 54.683 * * [simplify]: iters left: 3 (27 enodes) 54.687 * * [simplify]: Extracting #0: cost 1 inf + 0 54.687 * * [simplify]: Extracting #1: cost 4 inf + 0 54.687 * * [simplify]: Extracting #2: cost 5 inf + 1 54.687 * * [simplify]: Extracting #3: cost 9 inf + 1 54.687 * * [simplify]: Extracting #4: cost 8 inf + 3 54.687 * * [simplify]: Extracting #5: cost 4 inf + 169 54.688 * * [simplify]: Extracting #6: cost 1 inf + 456 54.688 * * [simplify]: Extracting #7: cost 0 inf + 579 54.688 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 54.688 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 54.688 * * * * [progress]: [ 17 / 112 ] simplifiying candidate # 54.688 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 54.688 * * [simplify]: iters left: 4 (6 enodes) 54.690 * * [simplify]: iters left: 3 (25 enodes) 54.695 * * [simplify]: iters left: 2 (36 enodes) 54.700 * * [simplify]: iters left: 1 (40 enodes) 54.711 * * [simplify]: Extracting #0: cost 1 inf + 0 54.711 * * [simplify]: Extracting #1: cost 7 inf + 0 54.711 * * [simplify]: Extracting #2: cost 16 inf + 0 54.711 * * [simplify]: Extracting #3: cost 13 inf + 44 54.711 * * [simplify]: Extracting #4: cost 3 inf + 1103 54.712 * * [simplify]: Extracting #5: cost 0 inf + 1469 54.712 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 54.712 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 54.713 * * * * [progress]: [ 18 / 112 ] simplifiying candidate # 54.713 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 54.713 * * [simplify]: iters left: 4 (6 enodes) 54.717 * * [simplify]: iters left: 3 (25 enodes) 54.726 * * [simplify]: iters left: 2 (36 enodes) 54.738 * * [simplify]: iters left: 1 (40 enodes) 54.752 * * [simplify]: Extracting #0: cost 1 inf + 0 54.752 * * [simplify]: Extracting #1: cost 7 inf + 0 54.752 * * [simplify]: Extracting #2: cost 16 inf + 0 54.752 * * [simplify]: Extracting #3: cost 13 inf + 44 54.752 * * [simplify]: Extracting #4: cost 3 inf + 823 54.753 * * [simplify]: Extracting #5: cost 0 inf + 1069 54.753 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 54.753 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 54.754 * * * * [progress]: [ 19 / 112 ] simplifiying candidate # 54.754 * [simplify]: Simplifying (/ (- 1 k) 2) 54.754 * * [simplify]: iters left: 4 (5 enodes) 54.758 * * [simplify]: iters left: 3 (23 enodes) 54.766 * * [simplify]: iters left: 2 (32 enodes) 54.770 * * [simplify]: Extracting #0: cost 1 inf + 0 54.771 * * [simplify]: Extracting #1: cost 6 inf + 0 54.771 * * [simplify]: Extracting #2: cost 9 inf + 2 54.771 * * [simplify]: Extracting #3: cost 6 inf + 87 54.771 * * [simplify]: Extracting #4: cost 0 inf + 420 54.771 * [simplify]: Simplified to (/ (- 1 k) 2) 54.771 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 54.771 * * * * [progress]: [ 20 / 112 ] simplifiying candidate # 54.771 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 54.771 * * [simplify]: iters left: 5 (8 enodes) 54.774 * * [simplify]: iters left: 4 (31 enodes) 54.779 * * [simplify]: iters left: 3 (45 enodes) 54.786 * * [simplify]: iters left: 2 (51 enodes) 54.792 * * [simplify]: iters left: 1 (52 enodes) 54.804 * * [simplify]: Extracting #0: cost 1 inf + 0 54.804 * * [simplify]: Extracting #1: cost 8 inf + 0 54.805 * * [simplify]: Extracting #2: cost 18 inf + 0 54.805 * * [simplify]: Extracting #3: cost 19 inf + 2 54.805 * * [simplify]: Extracting #4: cost 9 inf + 977 54.805 * * [simplify]: Extracting #5: cost 2 inf + 1790 54.806 * * [simplify]: Extracting #6: cost 0 inf + 2195 54.807 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 54.807 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 54.807 * * * * [progress]: [ 21 / 112 ] simplifiying candidate # 54.807 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 54.807 * * [simplify]: iters left: 5 (8 enodes) 54.812 * * [simplify]: iters left: 4 (31 enodes) 54.822 * * [simplify]: iters left: 3 (45 enodes) 54.836 * * [simplify]: iters left: 2 (51 enodes) 54.850 * * [simplify]: iters left: 1 (52 enodes) 54.863 * * [simplify]: Extracting #0: cost 1 inf + 0 54.864 * * [simplify]: Extracting #1: cost 8 inf + 0 54.864 * * [simplify]: Extracting #2: cost 18 inf + 0 54.864 * * [simplify]: Extracting #3: cost 19 inf + 2 54.864 * * [simplify]: Extracting #4: cost 9 inf + 697 54.865 * * [simplify]: Extracting #5: cost 2 inf + 1390 54.865 * * [simplify]: Extracting #6: cost 0 inf + 1715 54.866 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 54.866 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 54.866 * * * * [progress]: [ 22 / 112 ] simplifiying candidate # 54.866 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 54.866 * * [simplify]: iters left: 5 (7 enodes) 54.871 * * [simplify]: iters left: 4 (29 enodes) 54.884 * * [simplify]: iters left: 3 (43 enodes) 54.895 * * [simplify]: iters left: 2 (47 enodes) 54.906 * * [simplify]: Extracting #0: cost 1 inf + 0 54.906 * * [simplify]: Extracting #1: cost 7 inf + 0 54.907 * * [simplify]: Extracting #2: cost 11 inf + 2 54.907 * * [simplify]: Extracting #3: cost 13 inf + 3 54.907 * * [simplify]: Extracting #4: cost 11 inf + 45 54.907 * * [simplify]: Extracting #5: cost 0 inf + 1066 54.907 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 54.908 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 54.908 * * * * [progress]: [ 23 / 112 ] simplifiying candidate # 54.908 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 54.908 * * [simplify]: iters left: 5 (7 enodes) 54.912 * * [simplify]: iters left: 4 (28 enodes) 54.921 * * [simplify]: iters left: 3 (39 enodes) 54.933 * * [simplify]: iters left: 2 (43 enodes) 54.946 * * [simplify]: Extracting #0: cost 1 inf + 0 54.946 * * [simplify]: Extracting #1: cost 7 inf + 0 54.946 * * [simplify]: Extracting #2: cost 16 inf + 0 54.946 * * [simplify]: Extracting #3: cost 15 inf + 164 54.946 * * [simplify]: Extracting #4: cost 13 inf + 287 54.947 * * [simplify]: Extracting #5: cost 5 inf + 1180 54.947 * * [simplify]: Extracting #6: cost 0 inf + 1951 54.948 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 54.948 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 54.948 * * * * [progress]: [ 24 / 112 ] simplifiying candidate # 54.948 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 54.948 * * [simplify]: iters left: 5 (7 enodes) 54.953 * * [simplify]: iters left: 4 (28 enodes) 54.963 * * [simplify]: iters left: 3 (39 enodes) 54.974 * * [simplify]: iters left: 2 (43 enodes) 54.987 * * [simplify]: Extracting #0: cost 1 inf + 0 54.987 * * [simplify]: Extracting #1: cost 7 inf + 0 54.987 * * [simplify]: Extracting #2: cost 16 inf + 0 54.987 * * [simplify]: Extracting #3: cost 15 inf + 84 54.987 * * [simplify]: Extracting #4: cost 13 inf + 167 54.987 * * [simplify]: Extracting #5: cost 5 inf + 900 54.988 * * [simplify]: Extracting #6: cost 0 inf + 1551 54.988 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 54.989 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 54.989 * * * * [progress]: [ 25 / 112 ] simplifiying candidate # 54.989 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 54.989 * * [simplify]: iters left: 5 (6 enodes) 54.992 * * [simplify]: iters left: 4 (26 enodes) 54.996 * * [simplify]: iters left: 3 (35 enodes) 55.001 * * [simplify]: Extracting #0: cost 1 inf + 0 55.001 * * [simplify]: Extracting #1: cost 6 inf + 0 55.001 * * [simplify]: Extracting #2: cost 9 inf + 2 55.001 * * [simplify]: Extracting #3: cost 11 inf + 3 55.001 * * [simplify]: Extracting #4: cost 10 inf + 4 55.002 * * [simplify]: Extracting #5: cost 3 inf + 535 55.002 * * [simplify]: Extracting #6: cost 0 inf + 822 55.002 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 55.002 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 55.002 * * * * [progress]: [ 26 / 112 ] simplifiying candidate # 55.002 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 55.002 * * [simplify]: iters left: 4 (6 enodes) 55.004 * * [simplify]: iters left: 3 (25 enodes) 55.009 * * [simplify]: iters left: 2 (36 enodes) 55.016 * * [simplify]: iters left: 1 (40 enodes) 55.026 * * [simplify]: Extracting #0: cost 1 inf + 0 55.026 * * [simplify]: Extracting #1: cost 7 inf + 0 55.026 * * [simplify]: Extracting #2: cost 16 inf + 0 55.026 * * [simplify]: Extracting #3: cost 13 inf + 44 55.026 * * [simplify]: Extracting #4: cost 3 inf + 1103 55.027 * * [simplify]: Extracting #5: cost 0 inf + 1469 55.027 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 55.027 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 55.027 * * * * [progress]: [ 27 / 112 ] simplifiying candidate # 55.028 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 55.028 * * [simplify]: iters left: 4 (6 enodes) 55.032 * * [simplify]: iters left: 3 (25 enodes) 55.040 * * [simplify]: iters left: 2 (36 enodes) 55.052 * * [simplify]: iters left: 1 (40 enodes) 55.064 * * [simplify]: Extracting #0: cost 1 inf + 0 55.064 * * [simplify]: Extracting #1: cost 7 inf + 0 55.064 * * [simplify]: Extracting #2: cost 16 inf + 0 55.064 * * [simplify]: Extracting #3: cost 13 inf + 44 55.065 * * [simplify]: Extracting #4: cost 3 inf + 823 55.065 * * [simplify]: Extracting #5: cost 0 inf + 1069 55.065 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 55.066 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 55.066 * * * * [progress]: [ 28 / 112 ] simplifiying candidate # 55.066 * [simplify]: Simplifying (/ (- 1 k) 2) 55.066 * * [simplify]: iters left: 4 (5 enodes) 55.070 * * [simplify]: iters left: 3 (23 enodes) 55.077 * * [simplify]: iters left: 2 (32 enodes) 55.086 * * [simplify]: Extracting #0: cost 1 inf + 0 55.087 * * [simplify]: Extracting #1: cost 6 inf + 0 55.087 * * [simplify]: Extracting #2: cost 9 inf + 2 55.087 * * [simplify]: Extracting #3: cost 6 inf + 87 55.087 * * [simplify]: Extracting #4: cost 0 inf + 420 55.087 * [simplify]: Simplified to (/ (- 1 k) 2) 55.087 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 55.087 * * * * [progress]: [ 29 / 112 ] simplifiying candidate # 55.088 * [simplify]: Simplifying (/ (- 1 k) 2) 55.088 * * [simplify]: iters left: 4 (5 enodes) 55.091 * * [simplify]: iters left: 3 (23 enodes) 55.099 * * [simplify]: iters left: 2 (32 enodes) 55.109 * * [simplify]: Extracting #0: cost 1 inf + 0 55.109 * * [simplify]: Extracting #1: cost 6 inf + 0 55.109 * * [simplify]: Extracting #2: cost 9 inf + 2 55.109 * * [simplify]: Extracting #3: cost 6 inf + 87 55.109 * * [simplify]: Extracting #4: cost 0 inf + 420 55.110 * [simplify]: Simplified to (/ (- 1 k) 2) 55.110 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 55.110 * * * * [progress]: [ 30 / 112 ] simplifiying candidate # 55.110 * [simplify]: Simplifying (/ 1 2) 55.110 * * [simplify]: iters left: 2 (3 enodes) 55.113 * * [simplify]: iters left: 1 (12 enodes) 55.117 * * [simplify]: Extracting #0: cost 1 inf + 0 55.117 * * [simplify]: Extracting #1: cost 0 inf + 1 55.117 * [simplify]: Simplified to 1/2 55.117 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 55.117 * * * * [progress]: [ 31 / 112 ] simplifiying candidate # 55.118 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 55.118 * * [simplify]: iters left: 5 (8 enodes) 55.123 * * [simplify]: iters left: 4 (36 enodes) 55.134 * * [simplify]: iters left: 3 (57 enodes) 55.152 * * [simplify]: iters left: 2 (90 enodes) 55.189 * * [simplify]: iters left: 1 (176 enodes) 55.256 * * [simplify]: Extracting #0: cost 1 inf + 0 55.256 * * [simplify]: Extracting #1: cost 13 inf + 0 55.256 * * [simplify]: Extracting #2: cost 55 inf + 1 55.257 * * [simplify]: Extracting #3: cost 86 inf + 6 55.258 * * [simplify]: Extracting #4: cost 68 inf + 2553 55.261 * * [simplify]: Extracting #5: cost 24 inf + 10048 55.266 * * [simplify]: Extracting #6: cost 3 inf + 21580 55.273 * * [simplify]: Extracting #7: cost 0 inf + 23439 55.280 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 55.280 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 55.280 * * * * [progress]: [ 32 / 112 ] simplifiying candidate # 55.280 * * * * [progress]: [ 33 / 112 ] simplifiying candidate # 55.280 * * * * [progress]: [ 34 / 112 ] simplifiying candidate # 55.280 * * * * [progress]: [ 35 / 112 ] simplifiying candidate # 55.280 * * * * [progress]: [ 36 / 112 ] simplifiying candidate # 55.280 * * * * [progress]: [ 37 / 112 ] simplifiying candidate # 55.280 * * * * [progress]: [ 38 / 112 ] simplifiying candidate # 55.280 * * * * [progress]: [ 39 / 112 ] simplifiying candidate # 55.281 * * * * [progress]: [ 40 / 112 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 55.281 * * * * [progress]: [ 41 / 112 ] simplifiying candidate # 55.281 * [simplify]: Simplifying (* (* 2 PI) n) 55.281 * * [simplify]: iters left: 4 (5 enodes) 55.284 * * [simplify]: iters left: 3 (19 enodes) 55.290 * * [simplify]: iters left: 2 (27 enodes) 55.298 * * [simplify]: iters left: 1 (32 enodes) 55.306 * * [simplify]: Extracting #0: cost 1 inf + 0 55.306 * * [simplify]: Extracting #1: cost 8 inf + 0 55.306 * * [simplify]: Extracting #2: cost 7 inf + 45 55.306 * * [simplify]: Extracting #3: cost 0 inf + 421 55.307 * [simplify]: Simplified to (* (* 2 PI) n) 55.307 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 55.307 * * * * [progress]: [ 42 / 112 ] simplifiying candidate # 55.307 * [simplify]: Simplifying (* (* 2 PI) n) 55.307 * * [simplify]: iters left: 4 (5 enodes) 55.310 * * [simplify]: iters left: 3 (19 enodes) 55.319 * * [simplify]: iters left: 2 (27 enodes) 55.327 * * [simplify]: iters left: 1 (32 enodes) 55.335 * * [simplify]: Extracting #0: cost 1 inf + 0 55.335 * * [simplify]: Extracting #1: cost 8 inf + 0 55.336 * * [simplify]: Extracting #2: cost 7 inf + 45 55.336 * * [simplify]: Extracting #3: cost 0 inf + 421 55.336 * [simplify]: Simplified to (* (* 2 PI) n) 55.336 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 55.336 * * * * [progress]: [ 43 / 112 ] simplifiying candidate # 55.336 * * * * [progress]: [ 44 / 112 ] simplifiying candidate # 55.337 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 55.337 * * [simplify]: iters left: 5 (8 enodes) 55.341 * * [simplify]: iters left: 4 (28 enodes) 55.350 * * [simplify]: iters left: 3 (36 enodes) 55.360 * * [simplify]: iters left: 2 (42 enodes) 55.371 * * [simplify]: Extracting #0: cost 1 inf + 0 55.371 * * [simplify]: Extracting #1: cost 8 inf + 0 55.371 * * [simplify]: Extracting #2: cost 17 inf + 0 55.371 * * [simplify]: Extracting #3: cost 13 inf + 74 55.371 * * [simplify]: Extracting #4: cost 6 inf + 1015 55.372 * * [simplify]: Extracting #5: cost 0 inf + 2107 55.372 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 55.372 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 55.373 * * * * [progress]: [ 45 / 112 ] simplifiying candidate # 55.373 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 55.373 * * [simplify]: iters left: 5 (7 enodes) 55.377 * * [simplify]: iters left: 4 (26 enodes) 55.381 * * [simplify]: iters left: 3 (35 enodes) 55.386 * * [simplify]: iters left: 2 (44 enodes) 55.392 * * [simplify]: Extracting #0: cost 1 inf + 0 55.392 * * [simplify]: Extracting #1: cost 8 inf + 0 55.392 * * [simplify]: Extracting #2: cost 18 inf + 0 55.392 * * [simplify]: Extracting #3: cost 15 inf + 74 55.392 * * [simplify]: Extracting #4: cost 6 inf + 918 55.393 * * [simplify]: Extracting #5: cost 0 inf + 1911 55.393 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 55.393 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 55.393 * * * * [progress]: [ 46 / 112 ] simplifiying candidate # 55.393 * * * * [progress]: [ 47 / 112 ] simplifiying candidate # 55.393 * * * * [progress]: [ 48 / 112 ] simplifiying candidate # 55.393 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 55.393 * * [simplify]: iters left: 6 (11 enodes) 55.397 * * [simplify]: iters left: 5 (47 enodes) 55.409 * * [simplify]: iters left: 4 (115 enodes) 55.449 * * [simplify]: iters left: 3 (384 enodes) 55.830 * * [simplify]: Extracting #0: cost 1 inf + 0 55.830 * * [simplify]: Extracting #1: cost 102 inf + 0 55.832 * * [simplify]: Extracting #2: cost 263 inf + 1026 55.837 * * [simplify]: Extracting #3: cost 88 inf + 24284 55.847 * * [simplify]: Extracting #4: cost 2 inf + 40704 55.857 * * [simplify]: Extracting #5: cost 0 inf + 41008 55.876 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 55.876 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))) 55.876 * * * * [progress]: [ 49 / 112 ] simplifiying candidate # 55.876 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 55.877 * * [simplify]: iters left: 6 (9 enodes) 55.887 * * [simplify]: iters left: 5 (45 enodes) 55.900 * * [simplify]: iters left: 4 (116 enodes) 55.939 * * [simplify]: iters left: 3 (371 enodes) 56.213 * * [simplify]: Extracting #0: cost 1 inf + 0 56.213 * * [simplify]: Extracting #1: cost 82 inf + 0 56.216 * * [simplify]: Extracting #2: cost 200 inf + 498 56.222 * * [simplify]: Extracting #3: cost 121 inf + 10421 56.240 * * [simplify]: Extracting #4: cost 5 inf + 33505 56.259 * * [simplify]: Extracting #5: cost 0 inf + 33849 56.282 * * [simplify]: Extracting #6: cost 0 inf + 33809 56.301 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 56.301 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))) 56.301 * * * * [progress]: [ 50 / 112 ] simplifiying candidate # 56.302 * * * * [progress]: [ 51 / 112 ] simplifiying candidate # 56.302 * * * * [progress]: [ 52 / 112 ] simplifiying candidate # 56.302 * * * * [progress]: [ 53 / 112 ] simplifiying candidate # 56.302 * * * * [progress]: [ 54 / 112 ] simplifiying candidate # 56.302 * [simplify]: Simplifying (cbrt n) 56.302 * * [simplify]: iters left: 1 (2 enodes) 56.303 * * [simplify]: Extracting #0: cost 1 inf + 0 56.303 * * [simplify]: Extracting #1: cost 3 inf + 0 56.303 * * [simplify]: Extracting #2: cost 2 inf + 1 56.303 * * [simplify]: Extracting #3: cost 0 inf + 163 56.303 * [simplify]: Simplified to (cbrt n) 56.303 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) 56.303 * * * * [progress]: [ 55 / 112 ] simplifiying candidate # 56.304 * [simplify]: Simplifying (sqrt n) 56.304 * * [simplify]: iters left: 1 (2 enodes) 56.304 * * [simplify]: Extracting #0: cost 1 inf + 0 56.304 * * [simplify]: Extracting #1: cost 3 inf + 0 56.304 * * [simplify]: Extracting #2: cost 2 inf + 1 56.304 * * [simplify]: Extracting #3: cost 0 inf + 83 56.305 * [simplify]: Simplified to (sqrt n) 56.305 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 56.305 * * * * [progress]: [ 56 / 112 ] simplifiying candidate # 56.305 * * * * [progress]: [ 57 / 112 ] simplifiying candidate # 56.305 * * * * [progress]: [ 58 / 112 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 56.305 * * * * [progress]: [ 59 / 112 ] simplifiying candidate # 56.305 * * * * [progress]: [ 60 / 112 ] simplifiying candidate # 56.305 * * * * [progress]: [ 61 / 112 ] simplifiying candidate # 56.305 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 56.305 * * [simplify]: iters left: 6 (17 enodes) 56.310 * * [simplify]: iters left: 5 (68 enodes) 56.321 * * [simplify]: iters left: 4 (111 enodes) 56.348 * * [simplify]: iters left: 3 (289 enodes) 56.455 * * [simplify]: Extracting #0: cost 1 inf + 0 56.455 * * [simplify]: Extracting #1: cost 24 inf + 0 56.455 * * [simplify]: Extracting #2: cost 76 inf + 0 56.456 * * [simplify]: Extracting #3: cost 136 inf + 74 56.457 * * [simplify]: Extracting #4: cost 153 inf + 809 56.463 * * [simplify]: Extracting #5: cost 76 inf + 18247 56.479 * * [simplify]: Extracting #6: cost 5 inf + 41211 56.491 * * [simplify]: Extracting #7: cost 0 inf + 43142 56.499 * * [simplify]: Extracting #8: cost 0 inf + 43140 56.506 * [simplify]: Simplified to (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* -1/2 (log k))) 56.507 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* -1/2 (log k))))) 56.507 * * * * [progress]: [ 62 / 112 ] simplifiying candidate # 56.507 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 56.507 * * [simplify]: iters left: 6 (16 enodes) 56.512 * * [simplify]: iters left: 5 (66 enodes) 56.522 * * [simplify]: iters left: 4 (104 enodes) 56.559 * * [simplify]: iters left: 3 (231 enodes) 56.669 * * [simplify]: Extracting #0: cost 1 inf + 0 56.669 * * [simplify]: Extracting #1: cost 18 inf + 0 56.670 * * [simplify]: Extracting #2: cost 63 inf + 0 56.670 * * [simplify]: Extracting #3: cost 116 inf + 74 56.671 * * [simplify]: Extracting #4: cost 134 inf + 670 56.673 * * [simplify]: Extracting #5: cost 61 inf + 15167 56.679 * * [simplify]: Extracting #6: cost 2 inf + 32562 56.685 * * [simplify]: Extracting #7: cost 0 inf + 33277 56.692 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* -1/2 (log k))) 56.692 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* -1/2 (log k))))) 56.692 * * * * [progress]: [ 63 / 112 ] simplifiying candidate # 56.692 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 56.692 * * [simplify]: iters left: 6 (15 enodes) 56.700 * * [simplify]: iters left: 5 (65 enodes) 56.718 * * [simplify]: iters left: 4 (111 enodes) 56.743 * * [simplify]: iters left: 3 (219 enodes) 56.809 * * [simplify]: Extracting #0: cost 1 inf + 0 56.809 * * [simplify]: Extracting #1: cost 12 inf + 0 56.809 * * [simplify]: Extracting #2: cost 53 inf + 0 56.809 * * [simplify]: Extracting #3: cost 111 inf + 3 56.810 * * [simplify]: Extracting #4: cost 141 inf + 373 56.811 * * [simplify]: Extracting #5: cost 100 inf + 5100 56.815 * * [simplify]: Extracting #6: cost 25 inf + 21516 56.821 * * [simplify]: Extracting #7: cost 0 inf + 28578 56.831 * * [simplify]: Extracting #8: cost 0 inf + 28357 56.843 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 56.844 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 56.844 * * * * [progress]: [ 64 / 112 ] simplifiying candidate # 56.844 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 56.844 * * [simplify]: iters left: 6 (15 enodes) 56.854 * * [simplify]: iters left: 5 (65 enodes) 56.867 * * [simplify]: iters left: 4 (111 enodes) 56.886 * * [simplify]: iters left: 3 (219 enodes) 56.954 * * [simplify]: Extracting #0: cost 1 inf + 0 56.954 * * [simplify]: Extracting #1: cost 12 inf + 0 56.954 * * [simplify]: Extracting #2: cost 53 inf + 0 56.955 * * [simplify]: Extracting #3: cost 111 inf + 3 56.956 * * [simplify]: Extracting #4: cost 141 inf + 373 56.958 * * [simplify]: Extracting #5: cost 100 inf + 5100 56.966 * * [simplify]: Extracting #6: cost 25 inf + 21516 56.972 * * [simplify]: Extracting #7: cost 0 inf + 28578 56.977 * * [simplify]: Extracting #8: cost 0 inf + 28357 56.985 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 56.985 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 56.986 * * * * [progress]: [ 65 / 112 ] simplifiying candidate # 56.986 * [simplify]: Simplifying (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 56.986 * * [simplify]: iters left: 6 (15 enodes) 56.990 * * [simplify]: iters left: 5 (64 enodes) 57.006 * * [simplify]: iters left: 4 (107 enodes) 57.024 * * [simplify]: iters left: 3 (213 enodes) 57.102 * * [simplify]: Extracting #0: cost 1 inf + 0 57.102 * * [simplify]: Extracting #1: cost 14 inf + 0 57.102 * * [simplify]: Extracting #2: cost 86 inf + 0 57.103 * * [simplify]: Extracting #3: cost 156 inf + 3 57.103 * * [simplify]: Extracting #4: cost 169 inf + 543 57.105 * * [simplify]: Extracting #5: cost 117 inf + 8890 57.109 * * [simplify]: Extracting #6: cost 31 inf + 26444 57.115 * * [simplify]: Extracting #7: cost 1 inf + 37162 57.122 * * [simplify]: Extracting #8: cost 0 inf + 37879 57.134 * [simplify]: Simplified to (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 57.135 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))) 57.135 * * * * [progress]: [ 66 / 112 ] simplifiying candidate # 57.135 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 57.135 * * [simplify]: iters left: 6 (17 enodes) 57.145 * * [simplify]: iters left: 5 (68 enodes) 57.167 * * [simplify]: iters left: 4 (111 enodes) 57.216 * * [simplify]: iters left: 3 (289 enodes) 57.318 * * [simplify]: Extracting #0: cost 1 inf + 0 57.318 * * [simplify]: Extracting #1: cost 24 inf + 0 57.319 * * [simplify]: Extracting #2: cost 76 inf + 0 57.319 * * [simplify]: Extracting #3: cost 136 inf + 74 57.321 * * [simplify]: Extracting #4: cost 153 inf + 809 57.326 * * [simplify]: Extracting #5: cost 76 inf + 18247 57.337 * * [simplify]: Extracting #6: cost 5 inf + 41211 57.345 * * [simplify]: Extracting #7: cost 0 inf + 43142 57.352 * * [simplify]: Extracting #8: cost 0 inf + 43140 57.360 * [simplify]: Simplified to (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* -1/2 (log k))) 57.360 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* -1/2 (log k))))) 57.361 * * * * [progress]: [ 67 / 112 ] simplifiying candidate # 57.361 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 57.361 * * [simplify]: iters left: 6 (16 enodes) 57.369 * * [simplify]: iters left: 5 (66 enodes) 57.389 * * [simplify]: iters left: 4 (104 enodes) 57.411 * * [simplify]: iters left: 3 (231 enodes) 57.481 * * [simplify]: Extracting #0: cost 1 inf + 0 57.481 * * [simplify]: Extracting #1: cost 18 inf + 0 57.481 * * [simplify]: Extracting #2: cost 63 inf + 0 57.482 * * [simplify]: Extracting #3: cost 116 inf + 74 57.482 * * [simplify]: Extracting #4: cost 134 inf + 670 57.484 * * [simplify]: Extracting #5: cost 61 inf + 15167 57.492 * * [simplify]: Extracting #6: cost 2 inf + 32562 57.499 * * [simplify]: Extracting #7: cost 0 inf + 33277 57.505 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* -1/2 (log k))) 57.505 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* -1/2 (log k))))) 57.505 * * * * [progress]: [ 68 / 112 ] simplifiying candidate # 57.505 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 57.505 * * [simplify]: iters left: 6 (15 enodes) 57.514 * * [simplify]: iters left: 5 (65 enodes) 57.535 * * [simplify]: iters left: 4 (111 enodes) 57.573 * * [simplify]: iters left: 3 (219 enodes) 57.669 * * [simplify]: Extracting #0: cost 1 inf + 0 57.669 * * [simplify]: Extracting #1: cost 12 inf + 0 57.669 * * [simplify]: Extracting #2: cost 53 inf + 0 57.670 * * [simplify]: Extracting #3: cost 111 inf + 3 57.671 * * [simplify]: Extracting #4: cost 141 inf + 373 57.673 * * [simplify]: Extracting #5: cost 100 inf + 5100 57.681 * * [simplify]: Extracting #6: cost 25 inf + 21516 57.692 * * [simplify]: Extracting #7: cost 0 inf + 28578 57.704 * * [simplify]: Extracting #8: cost 0 inf + 28357 57.712 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 57.712 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 57.713 * * * * [progress]: [ 69 / 112 ] simplifiying candidate # 57.713 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 57.713 * * [simplify]: iters left: 6 (15 enodes) 57.717 * * [simplify]: iters left: 5 (65 enodes) 57.728 * * [simplify]: iters left: 4 (111 enodes) 57.759 * * [simplify]: iters left: 3 (219 enodes) 57.822 * * [simplify]: Extracting #0: cost 1 inf + 0 57.822 * * [simplify]: Extracting #1: cost 12 inf + 0 57.822 * * [simplify]: Extracting #2: cost 53 inf + 0 57.823 * * [simplify]: Extracting #3: cost 111 inf + 3 57.824 * * [simplify]: Extracting #4: cost 141 inf + 373 57.829 * * [simplify]: Extracting #5: cost 100 inf + 5100 57.837 * * [simplify]: Extracting #6: cost 25 inf + 21516 57.847 * * [simplify]: Extracting #7: cost 0 inf + 28578 57.858 * * [simplify]: Extracting #8: cost 0 inf + 28357 57.864 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 57.864 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 57.864 * * * * [progress]: [ 70 / 112 ] simplifiying candidate # 57.864 * [simplify]: Simplifying (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 57.864 * * [simplify]: iters left: 6 (15 enodes) 57.869 * * [simplify]: iters left: 5 (64 enodes) 57.879 * * [simplify]: iters left: 4 (107 enodes) 57.898 * * [simplify]: iters left: 3 (213 enodes) 57.944 * * [simplify]: Extracting #0: cost 1 inf + 0 57.944 * * [simplify]: Extracting #1: cost 14 inf + 0 57.945 * * [simplify]: Extracting #2: cost 86 inf + 0 57.945 * * [simplify]: Extracting #3: cost 156 inf + 3 57.946 * * [simplify]: Extracting #4: cost 169 inf + 543 57.948 * * [simplify]: Extracting #5: cost 117 inf + 8890 57.957 * * [simplify]: Extracting #6: cost 31 inf + 26444 57.970 * * [simplify]: Extracting #7: cost 1 inf + 37162 57.983 * * [simplify]: Extracting #8: cost 0 inf + 37879 57.996 * [simplify]: Simplified to (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 57.996 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))) 57.996 * * * * [progress]: [ 71 / 112 ] simplifiying candidate # 57.996 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 57.997 * * [simplify]: iters left: 6 (17 enodes) 58.007 * * [simplify]: iters left: 5 (73 enodes) 58.037 * * [simplify]: iters left: 4 (133 enodes) 58.072 * * [simplify]: iters left: 3 (346 enodes) 58.210 * * [simplify]: Extracting #0: cost 1 inf + 0 58.210 * * [simplify]: Extracting #1: cost 24 inf + 0 58.211 * * [simplify]: Extracting #2: cost 106 inf + 0 58.211 * * [simplify]: Extracting #3: cost 169 inf + 187 58.212 * * [simplify]: Extracting #4: cost 192 inf + 1305 58.214 * * [simplify]: Extracting #5: cost 134 inf + 13306 58.228 * * [simplify]: Extracting #6: cost 20 inf + 48718 58.242 * * [simplify]: Extracting #7: cost 0 inf + 56881 58.252 * [simplify]: Simplified to (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* (log k) -1/2)) 58.252 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* (log k) -1/2)))) 58.252 * * * * [progress]: [ 72 / 112 ] simplifiying candidate # 58.252 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 58.252 * * [simplify]: iters left: 6 (16 enodes) 58.258 * * [simplify]: iters left: 5 (71 enodes) 58.277 * * [simplify]: iters left: 4 (126 enodes) 58.301 * * [simplify]: iters left: 3 (292 enodes) 58.402 * * [simplify]: Extracting #0: cost 1 inf + 0 58.402 * * [simplify]: Extracting #1: cost 21 inf + 0 58.402 * * [simplify]: Extracting #2: cost 91 inf + 0 58.403 * * [simplify]: Extracting #3: cost 150 inf + 76 58.403 * * [simplify]: Extracting #4: cost 171 inf + 1571 58.405 * * [simplify]: Extracting #5: cost 111 inf + 13499 58.411 * * [simplify]: Extracting #6: cost 25 inf + 37640 58.422 * * [simplify]: Extracting #7: cost 0 inf + 46259 58.430 * * [simplify]: Extracting #8: cost 0 inf + 46095 58.438 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* (log k) -1/2)) 58.438 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* (log k) -1/2)))) 58.438 * * * * [progress]: [ 73 / 112 ] simplifiying candidate # 58.438 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 58.439 * * [simplify]: iters left: 6 (15 enodes) 58.443 * * [simplify]: iters left: 5 (70 enodes) 58.466 * * [simplify]: iters left: 4 (133 enodes) 58.514 * * [simplify]: iters left: 3 (280 enodes) 58.613 * * [simplify]: Extracting #0: cost 1 inf + 0 58.613 * * [simplify]: Extracting #1: cost 14 inf + 0 58.614 * * [simplify]: Extracting #2: cost 76 inf + 0 58.614 * * [simplify]: Extracting #3: cost 140 inf + 5 58.616 * * [simplify]: Extracting #4: cost 174 inf + 921 58.620 * * [simplify]: Extracting #5: cost 104 inf + 12431 58.626 * * [simplify]: Extracting #6: cost 14 inf + 35452 58.636 * * [simplify]: Extracting #7: cost 0 inf + 38959 58.644 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)) 58.644 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)))) 58.644 * * * * [progress]: [ 74 / 112 ] simplifiying candidate # 58.644 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 58.644 * * [simplify]: iters left: 6 (15 enodes) 58.649 * * [simplify]: iters left: 5 (70 enodes) 58.672 * * [simplify]: iters left: 4 (133 enodes) 58.702 * * [simplify]: iters left: 3 (280 enodes) 58.783 * * [simplify]: Extracting #0: cost 1 inf + 0 58.783 * * [simplify]: Extracting #1: cost 14 inf + 0 58.783 * * [simplify]: Extracting #2: cost 76 inf + 0 58.784 * * [simplify]: Extracting #3: cost 140 inf + 5 58.784 * * [simplify]: Extracting #4: cost 174 inf + 921 58.786 * * [simplify]: Extracting #5: cost 104 inf + 12431 58.792 * * [simplify]: Extracting #6: cost 14 inf + 35452 58.799 * * [simplify]: Extracting #7: cost 0 inf + 38959 58.809 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)) 58.809 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)))) 58.810 * * * * [progress]: [ 75 / 112 ] simplifiying candidate # 58.810 * [simplify]: Simplifying (+ (log (pow k -1/2)) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 58.810 * * [simplify]: iters left: 6 (15 enodes) 58.824 * * [simplify]: iters left: 5 (69 enodes) 58.849 * * [simplify]: iters left: 4 (133 enodes) 58.878 * * [simplify]: iters left: 3 (274 enodes) 58.937 * * [simplify]: Extracting #0: cost 1 inf + 0 58.937 * * [simplify]: Extracting #1: cost 16 inf + 0 58.938 * * [simplify]: Extracting #2: cost 102 inf + 0 58.938 * * [simplify]: Extracting #3: cost 181 inf + 4 58.939 * * [simplify]: Extracting #4: cost 184 inf + 2875 58.941 * * [simplify]: Extracting #5: cost 101 inf + 17179 58.948 * * [simplify]: Extracting #6: cost 18 inf + 41749 58.963 * * [simplify]: Extracting #7: cost 1 inf + 47184 58.979 * * [simplify]: Extracting #8: cost 0 inf + 47611 58.993 * [simplify]: Simplified to (+ (* (log k) -1/2) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 58.994 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))) 58.994 * * * * [progress]: [ 76 / 112 ] simplifiying candidate # 58.994 * * * * [progress]: [ 77 / 112 ] simplifiying candidate # 58.994 * * * * [progress]: [ 78 / 112 ] simplifiying candidate # 58.994 * [simplify]: Simplifying (* (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 58.995 * * [simplify]: iters left: 6 (17 enodes) 59.005 * * [simplify]: iters left: 5 (82 enodes) 59.031 * * [simplify]: iters left: 4 (187 enodes) 59.116 * * [simplify]: Extracting #0: cost 1 inf + 0 59.116 * * [simplify]: Extracting #1: cost 36 inf + 0 59.117 * * [simplify]: Extracting #2: cost 147 inf + 1 59.118 * * [simplify]: Extracting #3: cost 161 inf + 2071 59.119 * * [simplify]: Extracting #4: cost 151 inf + 4860 59.128 * * [simplify]: Extracting #5: cost 101 inf + 20649 59.144 * * [simplify]: Extracting #6: cost 13 inf + 77646 59.164 * * [simplify]: Extracting #7: cost 0 inf + 88763 59.174 * * [simplify]: Extracting #8: cost 0 inf + 88685 59.185 * [simplify]: Simplified to (* (* (pow k -1/2) (/ 1 k)) (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) 59.185 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow k -1/2) (/ 1 k)) (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 59.186 * * * * [progress]: [ 79 / 112 ] simplifiying candidate # 59.186 * * * * [progress]: [ 80 / 112 ] simplifiying candidate # 59.186 * * * * [progress]: [ 81 / 112 ] simplifiying candidate # 59.186 * * * * [progress]: [ 82 / 112 ] simplifiying candidate # 59.186 * * * * [progress]: [ 83 / 112 ] simplifiying candidate # 59.186 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 59.186 * * [simplify]: iters left: 6 (15 enodes) 59.191 * * [simplify]: iters left: 5 (65 enodes) 59.205 * * [simplify]: iters left: 4 (111 enodes) 59.236 * * [simplify]: iters left: 3 (190 enodes) 59.273 * * [simplify]: iters left: 2 (358 enodes) 59.365 * * [simplify]: Extracting #0: cost 1 inf + 0 59.365 * * [simplify]: Extracting #1: cost 22 inf + 0 59.366 * * [simplify]: Extracting #2: cost 80 inf + 0 59.366 * * [simplify]: Extracting #3: cost 92 inf + 7 59.367 * * [simplify]: Extracting #4: cost 137 inf + 1522 59.370 * * [simplify]: Extracting #5: cost 135 inf + 9284 59.376 * * [simplify]: Extracting #6: cost 63 inf + 35401 59.383 * * [simplify]: Extracting #7: cost 19 inf + 60813 59.392 * * [simplify]: Extracting #8: cost 0 inf + 75234 59.401 * * [simplify]: Extracting #9: cost 0 inf + 74852 59.413 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 59.413 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 59.413 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 59.413 * * [simplify]: iters left: 6 (15 enodes) 59.418 * * [simplify]: iters left: 5 (65 enodes) 59.431 * * [simplify]: iters left: 4 (111 enodes) 59.466 * * [simplify]: iters left: 3 (190 enodes) 59.508 * * [simplify]: iters left: 2 (358 enodes) 59.605 * * [simplify]: Extracting #0: cost 1 inf + 0 59.605 * * [simplify]: Extracting #1: cost 22 inf + 0 59.605 * * [simplify]: Extracting #2: cost 80 inf + 0 59.606 * * [simplify]: Extracting #3: cost 92 inf + 7 59.606 * * [simplify]: Extracting #4: cost 137 inf + 1522 59.608 * * [simplify]: Extracting #5: cost 135 inf + 9284 59.611 * * [simplify]: Extracting #6: cost 63 inf + 35401 59.618 * * [simplify]: Extracting #7: cost 19 inf + 60813 59.627 * * [simplify]: Extracting #8: cost 0 inf + 75234 59.636 * * [simplify]: Extracting #9: cost 0 inf + 74852 59.645 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 59.646 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 59.646 * * * * [progress]: [ 84 / 112 ] simplifiying candidate # 59.646 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 59.646 * * [simplify]: iters left: 6 (15 enodes) 59.651 * * [simplify]: iters left: 5 (68 enodes) 59.664 * * [simplify]: iters left: 4 (125 enodes) 59.706 * * [simplify]: iters left: 3 (246 enodes) 59.826 * * [simplify]: Extracting #0: cost 1 inf + 0 59.826 * * [simplify]: Extracting #1: cost 32 inf + 0 59.827 * * [simplify]: Extracting #2: cost 114 inf + 0 59.828 * * [simplify]: Extracting #3: cost 148 inf + 5 59.829 * * [simplify]: Extracting #4: cost 145 inf + 1442 59.833 * * [simplify]: Extracting #5: cost 84 inf + 22762 59.847 * * [simplify]: Extracting #6: cost 8 inf + 70872 59.865 * * [simplify]: Extracting #7: cost 0 inf + 73751 59.882 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 59.882 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 59.883 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 59.883 * * [simplify]: iters left: 6 (15 enodes) 59.892 * * [simplify]: iters left: 5 (68 enodes) 59.916 * * [simplify]: iters left: 4 (125 enodes) 59.967 * * [simplify]: iters left: 3 (246 enodes) 60.066 * * [simplify]: Extracting #0: cost 1 inf + 0 60.066 * * [simplify]: Extracting #1: cost 32 inf + 0 60.067 * * [simplify]: Extracting #2: cost 114 inf + 0 60.070 * * [simplify]: Extracting #3: cost 148 inf + 5 60.070 * * [simplify]: Extracting #4: cost 145 inf + 1442 60.072 * * [simplify]: Extracting #5: cost 84 inf + 22762 60.085 * * [simplify]: Extracting #6: cost 8 inf + 70872 60.096 * * [simplify]: Extracting #7: cost 0 inf + 73751 60.105 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 60.105 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 60.105 * * * * [progress]: [ 85 / 112 ] simplifiying candidate # 60.105 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 60.105 * * [simplify]: iters left: 6 (15 enodes) 60.110 * * [simplify]: iters left: 5 (65 enodes) 60.122 * * [simplify]: iters left: 4 (108 enodes) 60.153 * * [simplify]: iters left: 3 (179 enodes) 60.193 * * [simplify]: iters left: 2 (315 enodes) 60.298 * * [simplify]: Extracting #0: cost 1 inf + 0 60.298 * * [simplify]: Extracting #1: cost 4 inf + 0 60.298 * * [simplify]: Extracting #2: cost 10 inf + 0 60.298 * * [simplify]: Extracting #3: cost 40 inf + 0 60.298 * * [simplify]: Extracting #4: cost 114 inf + 4 60.299 * * [simplify]: Extracting #5: cost 116 inf + 3942 60.300 * * [simplify]: Extracting #6: cost 63 inf + 15090 60.304 * * [simplify]: Extracting #7: cost 16 inf + 32664 60.309 * * [simplify]: Extracting #8: cost 2 inf + 40800 60.314 * * [simplify]: Extracting #9: cost 0 inf + 41984 60.323 * * [simplify]: Extracting #10: cost 0 inf + 41862 60.333 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 60.333 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 60.334 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 60.334 * * [simplify]: iters left: 6 (15 enodes) 60.343 * * [simplify]: iters left: 5 (65 enodes) 60.367 * * [simplify]: iters left: 4 (108 enodes) 60.390 * * [simplify]: iters left: 3 (179 enodes) 60.444 * * [simplify]: iters left: 2 (315 enodes) 60.543 * * [simplify]: Extracting #0: cost 1 inf + 0 60.543 * * [simplify]: Extracting #1: cost 4 inf + 0 60.543 * * [simplify]: Extracting #2: cost 10 inf + 0 60.543 * * [simplify]: Extracting #3: cost 40 inf + 0 60.543 * * [simplify]: Extracting #4: cost 114 inf + 4 60.544 * * [simplify]: Extracting #5: cost 116 inf + 3942 60.545 * * [simplify]: Extracting #6: cost 63 inf + 15090 60.548 * * [simplify]: Extracting #7: cost 16 inf + 32664 60.553 * * [simplify]: Extracting #8: cost 2 inf + 40800 60.558 * * [simplify]: Extracting #9: cost 0 inf + 41984 60.563 * * [simplify]: Extracting #10: cost 0 inf + 41862 60.568 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 60.568 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 60.568 * * * * [progress]: [ 86 / 112 ] simplifiying candidate # 60.569 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 60.569 * * [simplify]: iters left: 6 (15 enodes) 60.573 * * [simplify]: iters left: 5 (68 enodes) 60.585 * * [simplify]: iters left: 4 (118 enodes) 60.611 * * [simplify]: iters left: 3 (208 enodes) 60.676 * * [simplify]: iters left: 2 (412 enodes) 60.808 * * [simplify]: Extracting #0: cost 1 inf + 0 60.808 * * [simplify]: Extracting #1: cost 36 inf + 0 60.809 * * [simplify]: Extracting #2: cost 106 inf + 0 60.809 * * [simplify]: Extracting #3: cost 169 inf + 2 60.810 * * [simplify]: Extracting #4: cost 193 inf + 984 60.812 * * [simplify]: Extracting #5: cost 145 inf + 9064 60.821 * * [simplify]: Extracting #6: cost 49 inf + 51280 60.833 * * [simplify]: Extracting #7: cost 4 inf + 89226 60.849 * * [simplify]: Extracting #8: cost 0 inf + 92777 60.872 * * [simplify]: Extracting #9: cost 0 inf + 92654 60.889 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 60.889 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 60.889 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 60.889 * * [simplify]: iters left: 6 (15 enodes) 60.894 * * [simplify]: iters left: 5 (68 enodes) 60.906 * * [simplify]: iters left: 4 (118 enodes) 60.942 * * [simplify]: iters left: 3 (208 enodes) 60.990 * * [simplify]: iters left: 2 (412 enodes) 61.110 * * [simplify]: Extracting #0: cost 1 inf + 0 61.110 * * [simplify]: Extracting #1: cost 36 inf + 0 61.111 * * [simplify]: Extracting #2: cost 106 inf + 0 61.111 * * [simplify]: Extracting #3: cost 169 inf + 2 61.112 * * [simplify]: Extracting #4: cost 193 inf + 984 61.117 * * [simplify]: Extracting #5: cost 145 inf + 9064 61.123 * * [simplify]: Extracting #6: cost 49 inf + 51280 61.135 * * [simplify]: Extracting #7: cost 4 inf + 89226 61.147 * * [simplify]: Extracting #8: cost 0 inf + 92777 61.159 * * [simplify]: Extracting #9: cost 0 inf + 92654 61.172 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 61.172 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 61.172 * * * * [progress]: [ 87 / 112 ] simplifiying candidate # 61.173 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 61.173 * * [simplify]: iters left: 6 (15 enodes) 61.182 * * [simplify]: iters left: 5 (66 enodes) 61.199 * * [simplify]: iters left: 4 (117 enodes) 61.224 * * [simplify]: iters left: 3 (207 enodes) 61.299 * * [simplify]: iters left: 2 (392 enodes) 61.451 * * [simplify]: Extracting #0: cost 1 inf + 0 61.452 * * [simplify]: Extracting #1: cost 27 inf + 0 61.452 * * [simplify]: Extracting #2: cost 83 inf + 0 61.452 * * [simplify]: Extracting #3: cost 93 inf + 8 61.453 * * [simplify]: Extracting #4: cost 127 inf + 6427 61.454 * * [simplify]: Extracting #5: cost 129 inf + 13260 61.460 * * [simplify]: Extracting #6: cost 75 inf + 27993 61.466 * * [simplify]: Extracting #7: cost 30 inf + 54942 61.476 * * [simplify]: Extracting #8: cost 0 inf + 76455 61.494 * * [simplify]: Extracting #9: cost 0 inf + 75720 61.511 * * [simplify]: Extracting #10: cost 0 inf + 75458 61.528 * [simplify]: Simplified to (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 61.528 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 61.529 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 61.529 * * [simplify]: iters left: 6 (15 enodes) 61.535 * * [simplify]: iters left: 5 (66 enodes) 61.548 * * [simplify]: iters left: 4 (117 enodes) 61.577 * * [simplify]: iters left: 3 (207 enodes) 61.623 * * [simplify]: iters left: 2 (392 enodes) 61.723 * * [simplify]: Extracting #0: cost 1 inf + 0 61.723 * * [simplify]: Extracting #1: cost 27 inf + 0 61.723 * * [simplify]: Extracting #2: cost 83 inf + 0 61.724 * * [simplify]: Extracting #3: cost 93 inf + 8 61.725 * * [simplify]: Extracting #4: cost 127 inf + 6427 61.727 * * [simplify]: Extracting #5: cost 129 inf + 13260 61.730 * * [simplify]: Extracting #6: cost 75 inf + 27993 61.735 * * [simplify]: Extracting #7: cost 30 inf + 54942 61.747 * * [simplify]: Extracting #8: cost 0 inf + 76455 61.756 * * [simplify]: Extracting #9: cost 0 inf + 75720 61.765 * * [simplify]: Extracting #10: cost 0 inf + 75458 61.774 * [simplify]: Simplified to (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 61.774 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) 61.774 * * * * [progress]: [ 88 / 112 ] simplifiying candidate # 61.775 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 61.775 * * [simplify]: iters left: 6 (15 enodes) 61.785 * * [simplify]: iters left: 5 (69 enodes) 61.801 * * [simplify]: iters left: 4 (131 enodes) 61.833 * * [simplify]: iters left: 3 (262 enodes) 61.905 * * [simplify]: Extracting #0: cost 1 inf + 0 61.905 * * [simplify]: Extracting #1: cost 32 inf + 0 61.906 * * [simplify]: Extracting #2: cost 113 inf + 0 61.906 * * [simplify]: Extracting #3: cost 145 inf + 6 61.907 * * [simplify]: Extracting #4: cost 131 inf + 4394 61.914 * * [simplify]: Extracting #5: cost 59 inf + 34433 61.922 * * [simplify]: Extracting #6: cost 4 inf + 65966 61.930 * * [simplify]: Extracting #7: cost 0 inf + 69228 61.938 * [simplify]: Simplified to (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 61.938 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 61.938 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 61.938 * * [simplify]: iters left: 6 (15 enodes) 61.944 * * [simplify]: iters left: 5 (69 enodes) 61.965 * * [simplify]: iters left: 4 (131 enodes) 61.991 * * [simplify]: iters left: 3 (262 enodes) 62.088 * * [simplify]: Extracting #0: cost 1 inf + 0 62.088 * * [simplify]: Extracting #1: cost 32 inf + 0 62.089 * * [simplify]: Extracting #2: cost 113 inf + 0 62.090 * * [simplify]: Extracting #3: cost 145 inf + 6 62.091 * * [simplify]: Extracting #4: cost 131 inf + 4394 62.097 * * [simplify]: Extracting #5: cost 59 inf + 34433 62.113 * * [simplify]: Extracting #6: cost 4 inf + 65966 62.127 * * [simplify]: Extracting #7: cost 0 inf + 69228 62.143 * [simplify]: Simplified to (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 62.143 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 62.143 * * * * [progress]: [ 89 / 112 ] simplifiying candidate # 62.143 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 62.143 * * [simplify]: iters left: 5 (7 enodes) 62.149 * * [simplify]: iters left: 4 (32 enodes) 62.159 * * [simplify]: iters left: 3 (57 enodes) 62.176 * * [simplify]: iters left: 2 (88 enodes) 62.207 * * [simplify]: iters left: 1 (156 enodes) 62.252 * * [simplify]: Extracting #0: cost 1 inf + 0 62.252 * * [simplify]: Extracting #1: cost 13 inf + 0 62.252 * * [simplify]: Extracting #2: cost 49 inf + 2 62.252 * * [simplify]: Extracting #3: cost 80 inf + 6 62.252 * * [simplify]: Extracting #4: cost 58 inf + 1840 62.254 * * [simplify]: Extracting #5: cost 22 inf + 9206 62.257 * * [simplify]: Extracting #6: cost 1 inf + 20886 62.260 * * [simplify]: Extracting #7: cost 0 inf + 21301 62.264 * * [simplify]: Extracting #8: cost 0 inf + 21130 62.269 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 62.269 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 62.269 * * * * [progress]: [ 90 / 112 ] simplifiying candidate # 62.269 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 62.269 * * [simplify]: iters left: 6 (11 enodes) 62.275 * * [simplify]: iters left: 5 (48 enodes) 62.289 * * [simplify]: iters left: 4 (77 enodes) 62.310 * * [simplify]: iters left: 3 (118 enodes) 62.351 * * [simplify]: iters left: 2 (206 enodes) 62.394 * * [simplify]: iters left: 1 (370 enodes) 62.542 * * [simplify]: Extracting #0: cost 1 inf + 0 62.542 * * [simplify]: Extracting #1: cost 3 inf + 0 62.542 * * [simplify]: Extracting #2: cost 27 inf + 0 62.542 * * [simplify]: Extracting #3: cost 102 inf + 1 62.543 * * [simplify]: Extracting #4: cost 162 inf + 134 62.544 * * [simplify]: Extracting #5: cost 156 inf + 519 62.546 * * [simplify]: Extracting #6: cost 94 inf + 9125 62.551 * * [simplify]: Extracting #7: cost 36 inf + 32718 62.561 * * [simplify]: Extracting #8: cost 2 inf + 60006 62.572 * * [simplify]: Extracting #9: cost 0 inf + 59623 62.594 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 62.594 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 62.594 * * * * [progress]: [ 91 / 112 ] simplifiying candidate # 62.594 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 62.594 * * [simplify]: iters left: 6 (11 enodes) 62.597 * * [simplify]: iters left: 5 (48 enodes) 62.605 * * [simplify]: iters left: 4 (78 enodes) 62.618 * * [simplify]: iters left: 3 (119 enodes) 62.654 * * [simplify]: iters left: 2 (210 enodes) 62.729 * * [simplify]: iters left: 1 (383 enodes) 62.886 * * [simplify]: Extracting #0: cost 1 inf + 0 62.886 * * [simplify]: Extracting #1: cost 4 inf + 0 62.886 * * [simplify]: Extracting #2: cost 28 inf + 0 62.886 * * [simplify]: Extracting #3: cost 110 inf + 1 62.887 * * [simplify]: Extracting #4: cost 152 inf + 178 62.888 * * [simplify]: Extracting #5: cost 142 inf + 935 62.890 * * [simplify]: Extracting #6: cost 87 inf + 7703 62.896 * * [simplify]: Extracting #7: cost 23 inf + 38047 62.907 * * [simplify]: Extracting #8: cost 1 inf + 56893 62.924 * * [simplify]: Extracting #9: cost 0 inf + 58062 62.938 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 62.938 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 62.938 * * * * [progress]: [ 92 / 112 ] simplifiying candidate # 62.939 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 62.939 * * [simplify]: iters left: 5 (10 enodes) 62.942 * * [simplify]: iters left: 4 (45 enodes) 62.951 * * [simplify]: iters left: 3 (78 enodes) 62.967 * * [simplify]: iters left: 2 (118 enodes) 62.998 * * [simplify]: iters left: 1 (191 enodes) 63.035 * * [simplify]: Extracting #0: cost 1 inf + 0 63.035 * * [simplify]: Extracting #1: cost 13 inf + 0 63.035 * * [simplify]: Extracting #2: cost 59 inf + 1 63.035 * * [simplify]: Extracting #3: cost 91 inf + 7 63.036 * * [simplify]: Extracting #4: cost 83 inf + 556 63.037 * * [simplify]: Extracting #5: cost 33 inf + 11764 63.041 * * [simplify]: Extracting #6: cost 0 inf + 23469 63.048 * * [simplify]: Extracting #7: cost 0 inf + 23146 63.052 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 63.052 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 63.052 * * * * [progress]: [ 93 / 112 ] simplifiying candidate # 63.053 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 63.053 * * [simplify]: iters left: 6 (11 enodes) 63.056 * * [simplify]: iters left: 5 (51 enodes) 63.067 * * [simplify]: iters left: 4 (87 enodes) 63.096 * * [simplify]: iters left: 3 (143 enodes) 63.129 * * [simplify]: iters left: 2 (259 enodes) 63.181 * * [simplify]: iters left: 1 (469 enodes) 63.386 * * [simplify]: Extracting #0: cost 1 inf + 0 63.386 * * [simplify]: Extracting #1: cost 23 inf + 0 63.386 * * [simplify]: Extracting #2: cost 109 inf + 1 63.387 * * [simplify]: Extracting #3: cost 194 inf + 137 63.388 * * [simplify]: Extracting #4: cost 176 inf + 2344 63.392 * * [simplify]: Extracting #5: cost 80 inf + 17283 63.412 * * [simplify]: Extracting #6: cost 12 inf + 52046 63.433 * * [simplify]: Extracting #7: cost 0 inf + 61992 63.453 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 63.453 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1/4 (- 1 k))))) 63.453 * * * * [progress]: [ 94 / 112 ] simplifiying candidate # 63.453 * [simplify]: Simplifying (pow (* (cbrt k) (cbrt k)) -1/2) 63.454 * * [simplify]: iters left: 4 (5 enodes) 63.457 * * [simplify]: iters left: 3 (20 enodes) 63.467 * * [simplify]: iters left: 2 (34 enodes) 63.482 * * [simplify]: iters left: 1 (64 enodes) 63.505 * * [simplify]: Extracting #0: cost 1 inf + 0 63.505 * * [simplify]: Extracting #1: cost 9 inf + 0 63.505 * * [simplify]: Extracting #2: cost 23 inf + 1 63.505 * * [simplify]: Extracting #3: cost 22 inf + 5 63.505 * * [simplify]: Extracting #4: cost 18 inf + 169 63.506 * * [simplify]: Extracting #5: cost 9 inf + 3237 63.507 * * [simplify]: Extracting #6: cost 0 inf + 7611 63.509 * [simplify]: Simplified to (pow (* (cbrt k) (cbrt k)) -1/2) 63.509 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt k) (cbrt k)) -1/2) (* (pow (cbrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 63.509 * * * * [progress]: [ 95 / 112 ] simplifiying candidate # 63.509 * [simplify]: Simplifying (pow (sqrt k) -1/2) 63.509 * * [simplify]: iters left: 2 (4 enodes) 63.512 * * [simplify]: iters left: 1 (17 enodes) 63.520 * * [simplify]: Extracting #0: cost 1 inf + 0 63.520 * * [simplify]: Extracting #1: cost 5 inf + 0 63.520 * * [simplify]: Extracting #2: cost 9 inf + 1 63.520 * * [simplify]: Extracting #3: cost 8 inf + 3 63.521 * * [simplify]: Extracting #4: cost 1 inf + 1094 63.521 * * [simplify]: Extracting #5: cost 0 inf + 1346 63.521 * [simplify]: Simplified to (pow (sqrt k) -1/2) 63.521 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt k) -1/2) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 63.521 * * * * [progress]: [ 96 / 112 ] simplifiying candidate # 63.522 * [simplify]: Simplifying (pow 1 -1/2) 63.522 * * [simplify]: iters left: 1 (3 enodes) 63.524 * * [simplify]: Extracting #0: cost 1 inf + 0 63.524 * * [simplify]: Extracting #1: cost 0 inf + 1 63.524 * [simplify]: Simplified to 1 63.524 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 63.524 * * * * [progress]: [ 97 / 112 ] simplifiying candidate # 63.525 * [simplify]: Simplifying (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 63.525 * * [simplify]: iters left: 4 (5 enodes) 63.528 * * [simplify]: iters left: 3 (20 enodes) 63.537 * * [simplify]: iters left: 2 (34 enodes) 63.551 * * [simplify]: iters left: 1 (64 enodes) 63.576 * * [simplify]: Extracting #0: cost 1 inf + 0 63.576 * * [simplify]: Extracting #1: cost 3 inf + 0 63.576 * * [simplify]: Extracting #2: cost 5 inf + 0 63.576 * * [simplify]: Extracting #3: cost 13 inf + 0 63.576 * * [simplify]: Extracting #4: cost 24 inf + 2 63.577 * * [simplify]: Extracting #5: cost 15 inf + 1558 63.577 * * [simplify]: Extracting #6: cost 6 inf + 4299 63.577 * * [simplify]: Extracting #7: cost 0 inf + 6535 63.578 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 63.578 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (cbrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 63.578 * * * * [progress]: [ 98 / 112 ] simplifiying candidate # 63.578 * [simplify]: Simplifying (sqrt (pow k -1/2)) 63.578 * * [simplify]: iters left: 2 (4 enodes) 63.580 * * [simplify]: iters left: 1 (17 enodes) 63.584 * * [simplify]: Extracting #0: cost 1 inf + 0 63.584 * * [simplify]: Extracting #1: cost 4 inf + 0 63.584 * * [simplify]: Extracting #2: cost 10 inf + 0 63.584 * * [simplify]: Extracting #3: cost 8 inf + 3 63.584 * * [simplify]: Extracting #4: cost 1 inf + 1356 63.584 * * [simplify]: Extracting #5: cost 0 inf + 1568 63.584 * [simplify]: Simplified to (sqrt (pow k -1/2)) 63.584 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow k -1/2)) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 63.585 * * * * [progress]: [ 99 / 112 ] simplifiying candidate # 63.585 * * * * [progress]: [ 100 / 112 ] simplifiying candidate # 63.585 * [simplify]: Simplifying (pow k (/ -1/2 2)) 63.585 * * [simplify]: iters left: 3 (5 enodes) 63.587 * * [simplify]: iters left: 2 (20 enodes) 63.592 * * [simplify]: iters left: 1 (37 enodes) 63.602 * * [simplify]: Extracting #0: cost 1 inf + 0 63.603 * * [simplify]: Extracting #1: cost 9 inf + 0 63.603 * * [simplify]: Extracting #2: cost 12 inf + 2 63.603 * * [simplify]: Extracting #3: cost 7 inf + 852 63.603 * * [simplify]: Extracting #4: cost 0 inf + 2667 63.603 * [simplify]: Simplified to (pow k -1/4) 63.604 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow k -1/4) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 63.604 * * * * [progress]: [ 101 / 112 ] simplifiying candidate # 63.604 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 63.604 * * [simplify]: iters left: 5 (8 enodes) 63.608 * * [simplify]: iters left: 4 (31 enodes) 63.619 * * [simplify]: iters left: 3 (51 enodes) 63.635 * * [simplify]: iters left: 2 (85 enodes) 63.659 * * [simplify]: iters left: 1 (152 enodes) 63.698 * * [simplify]: Extracting #0: cost 1 inf + 0 63.698 * * [simplify]: Extracting #1: cost 13 inf + 0 63.698 * * [simplify]: Extracting #2: cost 60 inf + 1 63.698 * * [simplify]: Extracting #3: cost 76 inf + 51 63.699 * * [simplify]: Extracting #4: cost 44 inf + 2846 63.700 * * [simplify]: Extracting #5: cost 21 inf + 7590 63.703 * * [simplify]: Extracting #6: cost 1 inf + 20687 63.705 * * [simplify]: Extracting #7: cost 0 inf + 20539 63.708 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 63.708 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 63.708 * * * * [progress]: [ 102 / 112 ] simplifiying candidate #real (real->posit16 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 63.708 * * * * [progress]: [ 103 / 112 ] simplifiying candidate # 63.708 * * * * [progress]: [ 104 / 112 ] simplifiying candidate # 63.709 * [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))))) 63.709 * * [simplify]: iters left: 6 (37 enodes) 63.719 * * [simplify]: iters left: 5 (187 enodes) 63.770 * * [simplify]: iters left: 4 (488 enodes) 63.995 * * [simplify]: Extracting #0: cost 1 inf + 0 63.995 * * [simplify]: Extracting #1: cost 57 inf + 0 63.996 * * [simplify]: Extracting #2: cost 294 inf + 0 64.000 * * [simplify]: Extracting #3: cost 524 inf + 199 64.005 * * [simplify]: Extracting #4: cost 512 inf + 6095 64.023 * * [simplify]: Extracting #5: cost 310 inf + 78036 64.097 * * [simplify]: Extracting #6: cost 40 inf + 220622 64.172 * * [simplify]: Extracting #7: cost 0 inf + 244981 64.253 * * [simplify]: Extracting #8: cost 0 inf + 243455 64.359 * * [simplify]: Extracting #9: cost 0 inf + 243454 64.416 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 64.416 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))))) 64.417 * * * * [progress]: [ 105 / 112 ] simplifiying candidate # 64.417 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 64.417 * * [simplify]: iters left: 6 (15 enodes) 64.422 * * [simplify]: iters left: 5 (65 enodes) 64.440 * * [simplify]: iters left: 4 (123 enodes) 64.471 * * [simplify]: iters left: 3 (361 enodes) 64.613 * * [simplify]: Extracting #0: cost 1 inf + 0 64.613 * * [simplify]: Extracting #1: cost 37 inf + 0 64.614 * * [simplify]: Extracting #2: cost 213 inf + 72 64.617 * * [simplify]: Extracting #3: cost 350 inf + 1716 64.625 * * [simplify]: Extracting #4: cost 221 inf + 30028 64.649 * * [simplify]: Extracting #5: cost 33 inf + 78046 64.683 * * [simplify]: Extracting #6: cost 1 inf + 88785 64.698 * * [simplify]: Extracting #7: cost 0 inf + 88926 64.714 * * [simplify]: Extracting #8: cost 0 inf + 88841 64.730 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 64.730 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 64.730 * * * * [progress]: [ 106 / 112 ] simplifiying candidate # 64.731 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 64.731 * * [simplify]: iters left: 6 (16 enodes) 64.736 * * [simplify]: iters left: 5 (67 enodes) 64.749 * * [simplify]: iters left: 4 (134 enodes) 64.795 * * [simplify]: iters left: 3 (407 enodes) 64.987 * * [simplify]: Extracting #0: cost 1 inf + 0 64.987 * * [simplify]: Extracting #1: cost 39 inf + 0 64.988 * * [simplify]: Extracting #2: cost 241 inf + 72 64.991 * * [simplify]: Extracting #3: cost 449 inf + 888 65.002 * * [simplify]: Extracting #4: cost 283 inf + 39678 65.038 * * [simplify]: Extracting #5: cost 24 inf + 116942 65.078 * * [simplify]: Extracting #6: cost 0 inf + 121984 65.101 * * [simplify]: Extracting #7: cost 0 inf + 121983 65.129 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 65.129 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))) 65.129 * * * * [progress]: [ 107 / 112 ] simplifiying candidate # 65.129 * [simplify]: Simplifying (* 2 (* n PI)) 65.129 * * [simplify]: iters left: 4 (5 enodes) 65.131 * * [simplify]: iters left: 3 (19 enodes) 65.134 * * [simplify]: iters left: 2 (27 enodes) 65.138 * * [simplify]: iters left: 1 (32 enodes) 65.143 * * [simplify]: Extracting #0: cost 1 inf + 0 65.143 * * [simplify]: Extracting #1: cost 8 inf + 0 65.143 * * [simplify]: Extracting #2: cost 7 inf + 45 65.143 * * [simplify]: Extracting #3: cost 0 inf + 421 65.143 * [simplify]: Simplified to (* (* PI n) 2) 65.143 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 65.143 * * * * [progress]: [ 108 / 112 ] simplifiying candidate # 65.145 * [simplify]: Simplifying (* 2 (* n PI)) 65.146 * * [simplify]: iters left: 4 (5 enodes) 65.148 * * [simplify]: iters left: 3 (19 enodes) 65.154 * * [simplify]: iters left: 2 (27 enodes) 65.162 * * [simplify]: iters left: 1 (32 enodes) 65.170 * * [simplify]: Extracting #0: cost 1 inf + 0 65.170 * * [simplify]: Extracting #1: cost 8 inf + 0 65.170 * * [simplify]: Extracting #2: cost 7 inf + 45 65.171 * * [simplify]: Extracting #3: cost 0 inf + 421 65.171 * [simplify]: Simplified to (* (* PI n) 2) 65.171 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 65.171 * * * * [progress]: [ 109 / 112 ] simplifiying candidate # 65.171 * [simplify]: Simplifying (* 2 (* n PI)) 65.171 * * [simplify]: iters left: 4 (5 enodes) 65.174 * * [simplify]: iters left: 3 (19 enodes) 65.180 * * [simplify]: iters left: 2 (27 enodes) 65.188 * * [simplify]: iters left: 1 (32 enodes) 65.196 * * [simplify]: Extracting #0: cost 1 inf + 0 65.196 * * [simplify]: Extracting #1: cost 8 inf + 0 65.196 * * [simplify]: Extracting #2: cost 7 inf + 45 65.197 * * [simplify]: Extracting #3: cost 0 inf + 421 65.197 * [simplify]: Simplified to (* (* PI n) 2) 65.197 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 65.197 * * * * [progress]: [ 110 / 112 ] simplifiying candidate # 65.197 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 65.197 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 65.198 * * * * [progress]: [ 111 / 112 ] simplifiying candidate # 65.198 * [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)))))))) 65.198 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 65.198 * * * * [progress]: [ 112 / 112 ] simplifiying candidate # 65.198 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))) 65.198 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 65.199 * * * [progress]: adding candidates to table 66.542 * * [progress]: iteration 4 / 4 66.542 * * * [progress]: picking best candidate 66.598 * * * * [pick]: Picked # 66.598 * * * [progress]: localizing error 66.647 * * * [progress]: generating rewritten candidates 66.647 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 66.674 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 66.705 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 66.723 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 66.744 * * * [progress]: generating series expansions 66.744 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 66.745 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 66.745 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 66.745 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 66.745 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 66.745 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 66.745 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 66.745 * [taylor]: Taking taylor expansion of 1/2 in k 66.745 * [backup-simplify]: Simplify 1/2 into 1/2 66.745 * [taylor]: Taking taylor expansion of (- 1 k) in k 66.745 * [taylor]: Taking taylor expansion of 1 in k 66.745 * [backup-simplify]: Simplify 1 into 1 66.745 * [taylor]: Taking taylor expansion of k in k 66.745 * [backup-simplify]: Simplify 0 into 0 66.745 * [backup-simplify]: Simplify 1 into 1 66.745 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 66.745 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 66.745 * [taylor]: Taking taylor expansion of 2 in k 66.745 * [backup-simplify]: Simplify 2 into 2 66.745 * [taylor]: Taking taylor expansion of (* n PI) in k 66.745 * [taylor]: Taking taylor expansion of n in k 66.745 * [backup-simplify]: Simplify n into n 66.745 * [taylor]: Taking taylor expansion of PI in k 66.745 * [backup-simplify]: Simplify PI into PI 66.745 * [backup-simplify]: Simplify (* n PI) into (* n PI) 66.745 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 66.745 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 66.745 * [backup-simplify]: Simplify (- 0) into 0 66.746 * [backup-simplify]: Simplify (+ 1 0) into 1 66.746 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 66.746 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 66.746 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 66.746 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 66.746 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 66.746 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 66.746 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 66.746 * [taylor]: Taking taylor expansion of 1/2 in n 66.746 * [backup-simplify]: Simplify 1/2 into 1/2 66.746 * [taylor]: Taking taylor expansion of (- 1 k) in n 66.746 * [taylor]: Taking taylor expansion of 1 in n 66.746 * [backup-simplify]: Simplify 1 into 1 66.746 * [taylor]: Taking taylor expansion of k in n 66.746 * [backup-simplify]: Simplify k into k 66.746 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 66.746 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.746 * [taylor]: Taking taylor expansion of 2 in n 66.746 * [backup-simplify]: Simplify 2 into 2 66.746 * [taylor]: Taking taylor expansion of (* n PI) in n 66.746 * [taylor]: Taking taylor expansion of n in n 66.746 * [backup-simplify]: Simplify 0 into 0 66.746 * [backup-simplify]: Simplify 1 into 1 66.746 * [taylor]: Taking taylor expansion of PI in n 66.746 * [backup-simplify]: Simplify PI into PI 66.747 * [backup-simplify]: Simplify (* 0 PI) into 0 66.747 * [backup-simplify]: Simplify (* 2 0) into 0 66.748 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.749 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 66.749 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.750 * [backup-simplify]: Simplify (- k) into (- k) 66.750 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 66.750 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 66.750 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.751 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 66.752 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 66.752 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 66.752 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 66.752 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 66.752 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 66.752 * [taylor]: Taking taylor expansion of 1/2 in n 66.752 * [backup-simplify]: Simplify 1/2 into 1/2 66.752 * [taylor]: Taking taylor expansion of (- 1 k) in n 66.752 * [taylor]: Taking taylor expansion of 1 in n 66.752 * [backup-simplify]: Simplify 1 into 1 66.752 * [taylor]: Taking taylor expansion of k in n 66.752 * [backup-simplify]: Simplify k into k 66.752 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 66.752 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.752 * [taylor]: Taking taylor expansion of 2 in n 66.752 * [backup-simplify]: Simplify 2 into 2 66.752 * [taylor]: Taking taylor expansion of (* n PI) in n 66.752 * [taylor]: Taking taylor expansion of n in n 66.752 * [backup-simplify]: Simplify 0 into 0 66.752 * [backup-simplify]: Simplify 1 into 1 66.752 * [taylor]: Taking taylor expansion of PI in n 66.752 * [backup-simplify]: Simplify PI into PI 66.752 * [backup-simplify]: Simplify (* 0 PI) into 0 66.753 * [backup-simplify]: Simplify (* 2 0) into 0 66.754 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.755 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 66.755 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.755 * [backup-simplify]: Simplify (- k) into (- k) 66.755 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 66.755 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 66.756 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.757 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 66.757 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 66.757 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 66.758 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 66.758 * [taylor]: Taking taylor expansion of 1/2 in k 66.758 * [backup-simplify]: Simplify 1/2 into 1/2 66.758 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 66.758 * [taylor]: Taking taylor expansion of (- 1 k) in k 66.758 * [taylor]: Taking taylor expansion of 1 in k 66.758 * [backup-simplify]: Simplify 1 into 1 66.758 * [taylor]: Taking taylor expansion of k in k 66.758 * [backup-simplify]: Simplify 0 into 0 66.758 * [backup-simplify]: Simplify 1 into 1 66.758 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 66.758 * [taylor]: Taking taylor expansion of (log n) in k 66.758 * [taylor]: Taking taylor expansion of n in k 66.758 * [backup-simplify]: Simplify n into n 66.758 * [backup-simplify]: Simplify (log n) into (log n) 66.758 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 66.758 * [taylor]: Taking taylor expansion of (* 2 PI) in k 66.758 * [taylor]: Taking taylor expansion of 2 in k 66.758 * [backup-simplify]: Simplify 2 into 2 66.758 * [taylor]: Taking taylor expansion of PI in k 66.758 * [backup-simplify]: Simplify PI into PI 66.758 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.760 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.760 * [backup-simplify]: Simplify (- 0) into 0 66.761 * [backup-simplify]: Simplify (+ 1 0) into 1 66.762 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.763 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 66.764 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 66.765 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 66.766 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 66.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 66.768 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 66.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 66.770 * [backup-simplify]: Simplify (- 0) into 0 66.771 * [backup-simplify]: Simplify (+ 0 0) into 0 66.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 66.773 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.774 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 66.776 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 66.776 * [taylor]: Taking taylor expansion of 0 in k 66.776 * [backup-simplify]: Simplify 0 into 0 66.776 * [backup-simplify]: Simplify 0 into 0 66.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 66.777 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 66.779 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 66.779 * [backup-simplify]: Simplify (+ 0 0) into 0 66.780 * [backup-simplify]: Simplify (- 1) into -1 66.780 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.782 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 66.784 * [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))))) 66.786 * [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))))))) 66.788 * [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))))))) 66.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 66.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 66.796 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 66.797 * [backup-simplify]: Simplify (- 0) into 0 66.797 * [backup-simplify]: Simplify (+ 0 0) into 0 66.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 66.798 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.799 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 66.800 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 66.800 * [taylor]: Taking taylor expansion of 0 in k 66.800 * [backup-simplify]: Simplify 0 into 0 66.800 * [backup-simplify]: Simplify 0 into 0 66.801 * [backup-simplify]: Simplify 0 into 0 66.801 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 66.802 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 66.804 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 66.804 * [backup-simplify]: Simplify (+ 0 0) into 0 66.804 * [backup-simplify]: Simplify (- 0) into 0 66.805 * [backup-simplify]: Simplify (+ 0 0) into 0 66.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 66.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 66.809 * [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))))) 66.812 * [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))))) 66.817 * [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))))) 66.818 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 66.818 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 66.818 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 66.818 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 66.818 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 66.818 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 66.818 * [taylor]: Taking taylor expansion of 1/2 in k 66.818 * [backup-simplify]: Simplify 1/2 into 1/2 66.818 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 66.818 * [taylor]: Taking taylor expansion of 1 in k 66.818 * [backup-simplify]: Simplify 1 into 1 66.818 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.818 * [taylor]: Taking taylor expansion of k in k 66.818 * [backup-simplify]: Simplify 0 into 0 66.818 * [backup-simplify]: Simplify 1 into 1 66.818 * [backup-simplify]: Simplify (/ 1 1) into 1 66.818 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 66.818 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 66.818 * [taylor]: Taking taylor expansion of 2 in k 66.818 * [backup-simplify]: Simplify 2 into 2 66.818 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.818 * [taylor]: Taking taylor expansion of PI in k 66.818 * [backup-simplify]: Simplify PI into PI 66.818 * [taylor]: Taking taylor expansion of n in k 66.818 * [backup-simplify]: Simplify n into n 66.819 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.819 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 66.819 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 66.819 * [backup-simplify]: Simplify (- 1) into -1 66.819 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.819 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 66.819 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 66.820 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 66.820 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 66.820 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 66.820 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 66.820 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 66.820 * [taylor]: Taking taylor expansion of 1/2 in n 66.820 * [backup-simplify]: Simplify 1/2 into 1/2 66.820 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.820 * [taylor]: Taking taylor expansion of 1 in n 66.820 * [backup-simplify]: Simplify 1 into 1 66.820 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.820 * [taylor]: Taking taylor expansion of k in n 66.820 * [backup-simplify]: Simplify k into k 66.820 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.820 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.820 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.820 * [taylor]: Taking taylor expansion of 2 in n 66.820 * [backup-simplify]: Simplify 2 into 2 66.820 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.820 * [taylor]: Taking taylor expansion of PI in n 66.820 * [backup-simplify]: Simplify PI into PI 66.820 * [taylor]: Taking taylor expansion of n in n 66.820 * [backup-simplify]: Simplify 0 into 0 66.820 * [backup-simplify]: Simplify 1 into 1 66.820 * [backup-simplify]: Simplify (/ PI 1) into PI 66.821 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.821 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.821 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.821 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.821 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 66.822 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.823 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.823 * [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))))) 66.823 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 66.824 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 66.824 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 66.824 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 66.824 * [taylor]: Taking taylor expansion of 1/2 in n 66.824 * [backup-simplify]: Simplify 1/2 into 1/2 66.824 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.824 * [taylor]: Taking taylor expansion of 1 in n 66.824 * [backup-simplify]: Simplify 1 into 1 66.824 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.824 * [taylor]: Taking taylor expansion of k in n 66.824 * [backup-simplify]: Simplify k into k 66.824 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.824 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.824 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.824 * [taylor]: Taking taylor expansion of 2 in n 66.824 * [backup-simplify]: Simplify 2 into 2 66.824 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.824 * [taylor]: Taking taylor expansion of PI in n 66.824 * [backup-simplify]: Simplify PI into PI 66.824 * [taylor]: Taking taylor expansion of n in n 66.824 * [backup-simplify]: Simplify 0 into 0 66.824 * [backup-simplify]: Simplify 1 into 1 66.824 * [backup-simplify]: Simplify (/ PI 1) into PI 66.824 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.825 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.825 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.825 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.825 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 66.826 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.827 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.828 * [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))))) 66.828 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 66.828 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 66.828 * [taylor]: Taking taylor expansion of 1/2 in k 66.828 * [backup-simplify]: Simplify 1/2 into 1/2 66.828 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 66.828 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 66.828 * [taylor]: Taking taylor expansion of 1 in k 66.828 * [backup-simplify]: Simplify 1 into 1 66.828 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.828 * [taylor]: Taking taylor expansion of k in k 66.828 * [backup-simplify]: Simplify 0 into 0 66.828 * [backup-simplify]: Simplify 1 into 1 66.828 * [backup-simplify]: Simplify (/ 1 1) into 1 66.828 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 66.828 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 66.828 * [taylor]: Taking taylor expansion of (* 2 PI) in k 66.828 * [taylor]: Taking taylor expansion of 2 in k 66.828 * [backup-simplify]: Simplify 2 into 2 66.828 * [taylor]: Taking taylor expansion of PI in k 66.828 * [backup-simplify]: Simplify PI into PI 66.828 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.829 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.829 * [taylor]: Taking taylor expansion of (log n) in k 66.829 * [taylor]: Taking taylor expansion of n in k 66.829 * [backup-simplify]: Simplify n into n 66.829 * [backup-simplify]: Simplify (log n) into (log n) 66.829 * [backup-simplify]: Simplify (- 1) into -1 66.830 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.830 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 66.830 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 66.831 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 66.831 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 66.832 * [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))))) 66.833 * [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))))) 66.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.834 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 66.835 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 66.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 66.835 * [backup-simplify]: Simplify (- 0) into 0 66.835 * [backup-simplify]: Simplify (+ 0 0) into 0 66.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 66.837 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.837 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 66.838 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 66.838 * [taylor]: Taking taylor expansion of 0 in k 66.838 * [backup-simplify]: Simplify 0 into 0 66.838 * [backup-simplify]: Simplify 0 into 0 66.838 * [backup-simplify]: Simplify 0 into 0 66.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.840 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 66.841 * [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 66.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 66.842 * [backup-simplify]: Simplify (- 0) into 0 66.842 * [backup-simplify]: Simplify (+ 0 0) into 0 66.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 66.844 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.844 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 66.846 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 66.846 * [taylor]: Taking taylor expansion of 0 in k 66.846 * [backup-simplify]: Simplify 0 into 0 66.846 * [backup-simplify]: Simplify 0 into 0 66.846 * [backup-simplify]: Simplify 0 into 0 66.846 * [backup-simplify]: Simplify 0 into 0 66.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.847 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.850 * [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 66.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 66.851 * [backup-simplify]: Simplify (- 0) into 0 66.851 * [backup-simplify]: Simplify (+ 0 0) into 0 66.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 66.853 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.854 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 66.855 * [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 66.855 * [taylor]: Taking taylor expansion of 0 in k 66.855 * [backup-simplify]: Simplify 0 into 0 66.855 * [backup-simplify]: Simplify 0 into 0 66.856 * [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)))))) 66.857 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 66.857 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 66.857 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 66.857 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 66.857 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 66.857 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 66.857 * [taylor]: Taking taylor expansion of 1/2 in k 66.857 * [backup-simplify]: Simplify 1/2 into 1/2 66.857 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 66.857 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.857 * [taylor]: Taking taylor expansion of k in k 66.857 * [backup-simplify]: Simplify 0 into 0 66.857 * [backup-simplify]: Simplify 1 into 1 66.857 * [backup-simplify]: Simplify (/ 1 1) into 1 66.857 * [taylor]: Taking taylor expansion of 1 in k 66.857 * [backup-simplify]: Simplify 1 into 1 66.857 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 66.857 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 66.857 * [taylor]: Taking taylor expansion of -2 in k 66.857 * [backup-simplify]: Simplify -2 into -2 66.857 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.857 * [taylor]: Taking taylor expansion of PI in k 66.857 * [backup-simplify]: Simplify PI into PI 66.857 * [taylor]: Taking taylor expansion of n in k 66.857 * [backup-simplify]: Simplify n into n 66.857 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.857 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 66.857 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 66.858 * [backup-simplify]: Simplify (+ 1 0) into 1 66.858 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 66.858 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 66.858 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 66.858 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 66.858 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 66.858 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 66.858 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 66.858 * [taylor]: Taking taylor expansion of 1/2 in n 66.858 * [backup-simplify]: Simplify 1/2 into 1/2 66.858 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 66.858 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.858 * [taylor]: Taking taylor expansion of k in n 66.858 * [backup-simplify]: Simplify k into k 66.858 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.858 * [taylor]: Taking taylor expansion of 1 in n 66.858 * [backup-simplify]: Simplify 1 into 1 66.858 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 66.858 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.858 * [taylor]: Taking taylor expansion of -2 in n 66.858 * [backup-simplify]: Simplify -2 into -2 66.858 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.858 * [taylor]: Taking taylor expansion of PI in n 66.858 * [backup-simplify]: Simplify PI into PI 66.858 * [taylor]: Taking taylor expansion of n in n 66.858 * [backup-simplify]: Simplify 0 into 0 66.858 * [backup-simplify]: Simplify 1 into 1 66.859 * [backup-simplify]: Simplify (/ PI 1) into PI 66.859 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.860 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.860 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 66.860 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 66.861 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.861 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 66.862 * [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))))) 66.862 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 66.862 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 66.862 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 66.862 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 66.862 * [taylor]: Taking taylor expansion of 1/2 in n 66.862 * [backup-simplify]: Simplify 1/2 into 1/2 66.862 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 66.862 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.862 * [taylor]: Taking taylor expansion of k in n 66.862 * [backup-simplify]: Simplify k into k 66.862 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.862 * [taylor]: Taking taylor expansion of 1 in n 66.862 * [backup-simplify]: Simplify 1 into 1 66.862 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 66.862 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.862 * [taylor]: Taking taylor expansion of -2 in n 66.862 * [backup-simplify]: Simplify -2 into -2 66.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.862 * [taylor]: Taking taylor expansion of PI in n 66.862 * [backup-simplify]: Simplify PI into PI 66.862 * [taylor]: Taking taylor expansion of n in n 66.862 * [backup-simplify]: Simplify 0 into 0 66.862 * [backup-simplify]: Simplify 1 into 1 66.863 * [backup-simplify]: Simplify (/ PI 1) into PI 66.863 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.863 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.863 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 66.864 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 66.864 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.865 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 66.866 * [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))))) 66.866 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 66.866 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 66.866 * [taylor]: Taking taylor expansion of 1/2 in k 66.866 * [backup-simplify]: Simplify 1/2 into 1/2 66.866 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 66.866 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 66.866 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.866 * [taylor]: Taking taylor expansion of k in k 66.866 * [backup-simplify]: Simplify 0 into 0 66.866 * [backup-simplify]: Simplify 1 into 1 66.866 * [backup-simplify]: Simplify (/ 1 1) into 1 66.866 * [taylor]: Taking taylor expansion of 1 in k 66.866 * [backup-simplify]: Simplify 1 into 1 66.866 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 66.866 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 66.867 * [taylor]: Taking taylor expansion of (* -2 PI) in k 66.867 * [taylor]: Taking taylor expansion of -2 in k 66.867 * [backup-simplify]: Simplify -2 into -2 66.867 * [taylor]: Taking taylor expansion of PI in k 66.867 * [backup-simplify]: Simplify PI into PI 66.867 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.868 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.868 * [taylor]: Taking taylor expansion of (log n) in k 66.868 * [taylor]: Taking taylor expansion of n in k 66.868 * [backup-simplify]: Simplify n into n 66.868 * [backup-simplify]: Simplify (log n) into (log n) 66.868 * [backup-simplify]: Simplify (+ 1 0) into 1 66.869 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 66.869 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 66.870 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 66.872 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 66.873 * [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))))) 66.874 * [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))))) 66.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.875 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 66.877 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 66.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 66.878 * [backup-simplify]: Simplify (+ 0 0) into 0 66.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 66.879 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.881 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 66.882 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 66.882 * [taylor]: Taking taylor expansion of 0 in k 66.883 * [backup-simplify]: Simplify 0 into 0 66.883 * [backup-simplify]: Simplify 0 into 0 66.883 * [backup-simplify]: Simplify 0 into 0 66.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.890 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 66.894 * [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 66.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 66.895 * [backup-simplify]: Simplify (+ 0 0) into 0 66.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 66.897 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.898 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 66.901 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 66.901 * [taylor]: Taking taylor expansion of 0 in k 66.901 * [backup-simplify]: Simplify 0 into 0 66.901 * [backup-simplify]: Simplify 0 into 0 66.901 * [backup-simplify]: Simplify 0 into 0 66.901 * [backup-simplify]: Simplify 0 into 0 66.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.904 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.910 * [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 66.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 66.911 * [backup-simplify]: Simplify (+ 0 0) into 0 66.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 66.913 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.915 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 66.918 * [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 66.918 * [taylor]: Taking taylor expansion of 0 in k 66.918 * [backup-simplify]: Simplify 0 into 0 66.918 * [backup-simplify]: Simplify 0 into 0 66.919 * [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)))))) 66.919 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 66.919 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 66.919 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 66.919 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.919 * [taylor]: Taking taylor expansion of 2 in n 66.919 * [backup-simplify]: Simplify 2 into 2 66.919 * [taylor]: Taking taylor expansion of (* n PI) in n 66.919 * [taylor]: Taking taylor expansion of n in n 66.919 * [backup-simplify]: Simplify 0 into 0 66.919 * [backup-simplify]: Simplify 1 into 1 66.920 * [taylor]: Taking taylor expansion of PI in n 66.920 * [backup-simplify]: Simplify PI into PI 66.920 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.920 * [taylor]: Taking taylor expansion of 2 in n 66.920 * [backup-simplify]: Simplify 2 into 2 66.920 * [taylor]: Taking taylor expansion of (* n PI) in n 66.920 * [taylor]: Taking taylor expansion of n in n 66.920 * [backup-simplify]: Simplify 0 into 0 66.920 * [backup-simplify]: Simplify 1 into 1 66.920 * [taylor]: Taking taylor expansion of PI in n 66.920 * [backup-simplify]: Simplify PI into PI 66.920 * [backup-simplify]: Simplify (* 0 PI) into 0 66.920 * [backup-simplify]: Simplify (* 2 0) into 0 66.920 * [backup-simplify]: Simplify 0 into 0 66.921 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.922 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 66.922 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 66.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 66.924 * [backup-simplify]: Simplify 0 into 0 66.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 66.925 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 66.925 * [backup-simplify]: Simplify 0 into 0 66.926 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 66.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 66.926 * [backup-simplify]: Simplify 0 into 0 66.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 66.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 66.928 * [backup-simplify]: Simplify 0 into 0 66.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 66.930 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 66.930 * [backup-simplify]: Simplify 0 into 0 66.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 66.932 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 66.932 * [backup-simplify]: Simplify 0 into 0 66.932 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 66.933 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 66.933 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 66.933 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.933 * [taylor]: Taking taylor expansion of 2 in n 66.933 * [backup-simplify]: Simplify 2 into 2 66.933 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.933 * [taylor]: Taking taylor expansion of PI in n 66.933 * [backup-simplify]: Simplify PI into PI 66.933 * [taylor]: Taking taylor expansion of n in n 66.933 * [backup-simplify]: Simplify 0 into 0 66.933 * [backup-simplify]: Simplify 1 into 1 66.933 * [backup-simplify]: Simplify (/ PI 1) into PI 66.933 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.933 * [taylor]: Taking taylor expansion of 2 in n 66.933 * [backup-simplify]: Simplify 2 into 2 66.933 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.933 * [taylor]: Taking taylor expansion of PI in n 66.933 * [backup-simplify]: Simplify PI into PI 66.933 * [taylor]: Taking taylor expansion of n in n 66.933 * [backup-simplify]: Simplify 0 into 0 66.933 * [backup-simplify]: Simplify 1 into 1 66.934 * [backup-simplify]: Simplify (/ PI 1) into PI 66.934 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.934 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.935 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 66.935 * [backup-simplify]: Simplify 0 into 0 66.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.936 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 66.936 * [backup-simplify]: Simplify 0 into 0 66.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.938 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.938 * [backup-simplify]: Simplify 0 into 0 66.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.939 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 66.939 * [backup-simplify]: Simplify 0 into 0 66.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.940 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 66.940 * [backup-simplify]: Simplify 0 into 0 66.941 * [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 66.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 66.942 * [backup-simplify]: Simplify 0 into 0 66.942 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 66.943 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 66.943 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 66.943 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.943 * [taylor]: Taking taylor expansion of -2 in n 66.943 * [backup-simplify]: Simplify -2 into -2 66.943 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.943 * [taylor]: Taking taylor expansion of PI in n 66.943 * [backup-simplify]: Simplify PI into PI 66.943 * [taylor]: Taking taylor expansion of n in n 66.943 * [backup-simplify]: Simplify 0 into 0 66.943 * [backup-simplify]: Simplify 1 into 1 66.943 * [backup-simplify]: Simplify (/ PI 1) into PI 66.943 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.943 * [taylor]: Taking taylor expansion of -2 in n 66.943 * [backup-simplify]: Simplify -2 into -2 66.943 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.943 * [taylor]: Taking taylor expansion of PI in n 66.943 * [backup-simplify]: Simplify PI into PI 66.943 * [taylor]: Taking taylor expansion of n in n 66.943 * [backup-simplify]: Simplify 0 into 0 66.943 * [backup-simplify]: Simplify 1 into 1 66.944 * [backup-simplify]: Simplify (/ PI 1) into PI 66.944 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.944 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.946 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 66.946 * [backup-simplify]: Simplify 0 into 0 66.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.947 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 66.947 * [backup-simplify]: Simplify 0 into 0 66.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.948 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.948 * [backup-simplify]: Simplify 0 into 0 66.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.950 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 66.950 * [backup-simplify]: Simplify 0 into 0 66.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.951 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 66.951 * [backup-simplify]: Simplify 0 into 0 66.952 * [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 66.953 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 66.953 * [backup-simplify]: Simplify 0 into 0 66.953 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 66.953 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 66.953 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) 66.953 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in (k n) around 0 66.953 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in n 66.954 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 66.954 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 66.954 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 66.954 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 66.954 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 66.954 * [taylor]: Taking taylor expansion of 1/2 in n 66.954 * [backup-simplify]: Simplify 1/2 into 1/2 66.954 * [taylor]: Taking taylor expansion of (- 1 k) in n 66.954 * [taylor]: Taking taylor expansion of 1 in n 66.954 * [backup-simplify]: Simplify 1 into 1 66.954 * [taylor]: Taking taylor expansion of k in n 66.954 * [backup-simplify]: Simplify k into k 66.954 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 66.954 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.954 * [taylor]: Taking taylor expansion of 2 in n 66.954 * [backup-simplify]: Simplify 2 into 2 66.954 * [taylor]: Taking taylor expansion of (* n PI) in n 66.954 * [taylor]: Taking taylor expansion of n in n 66.954 * [backup-simplify]: Simplify 0 into 0 66.954 * [backup-simplify]: Simplify 1 into 1 66.954 * [taylor]: Taking taylor expansion of PI in n 66.954 * [backup-simplify]: Simplify PI into PI 66.954 * [backup-simplify]: Simplify (* 0 PI) into 0 66.954 * [backup-simplify]: Simplify (* 2 0) into 0 66.955 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.956 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 66.957 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.957 * [backup-simplify]: Simplify (- k) into (- k) 66.957 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 66.957 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 66.958 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.958 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 66.959 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 66.959 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) 66.960 * [taylor]: Taking taylor expansion of (sqrt k) in n 66.960 * [taylor]: Taking taylor expansion of k in n 66.960 * [backup-simplify]: Simplify k into k 66.960 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 66.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 66.960 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 66.960 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 66.960 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 66.960 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 66.960 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 66.960 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 66.960 * [taylor]: Taking taylor expansion of 1/2 in k 66.960 * [backup-simplify]: Simplify 1/2 into 1/2 66.960 * [taylor]: Taking taylor expansion of (- 1 k) in k 66.960 * [taylor]: Taking taylor expansion of 1 in k 66.960 * [backup-simplify]: Simplify 1 into 1 66.960 * [taylor]: Taking taylor expansion of k in k 66.960 * [backup-simplify]: Simplify 0 into 0 66.960 * [backup-simplify]: Simplify 1 into 1 66.960 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 66.960 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 66.960 * [taylor]: Taking taylor expansion of 2 in k 66.960 * [backup-simplify]: Simplify 2 into 2 66.960 * [taylor]: Taking taylor expansion of (* n PI) in k 66.960 * [taylor]: Taking taylor expansion of n in k 66.960 * [backup-simplify]: Simplify n into n 66.960 * [taylor]: Taking taylor expansion of PI in k 66.960 * [backup-simplify]: Simplify PI into PI 66.960 * [backup-simplify]: Simplify (* n PI) into (* n PI) 66.960 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 66.960 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 66.960 * [backup-simplify]: Simplify (- 0) into 0 66.961 * [backup-simplify]: Simplify (+ 1 0) into 1 66.961 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 66.961 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 66.961 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 66.961 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 66.961 * [taylor]: Taking taylor expansion of (sqrt k) in k 66.961 * [taylor]: Taking taylor expansion of k in k 66.961 * [backup-simplify]: Simplify 0 into 0 66.961 * [backup-simplify]: Simplify 1 into 1 66.961 * [backup-simplify]: Simplify (sqrt 0) into 0 66.962 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 66.962 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 66.962 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 66.962 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 66.962 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 66.962 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 66.962 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 66.962 * [taylor]: Taking taylor expansion of 1/2 in k 66.963 * [backup-simplify]: Simplify 1/2 into 1/2 66.963 * [taylor]: Taking taylor expansion of (- 1 k) in k 66.963 * [taylor]: Taking taylor expansion of 1 in k 66.963 * [backup-simplify]: Simplify 1 into 1 66.963 * [taylor]: Taking taylor expansion of k in k 66.963 * [backup-simplify]: Simplify 0 into 0 66.963 * [backup-simplify]: Simplify 1 into 1 66.963 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 66.963 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 66.963 * [taylor]: Taking taylor expansion of 2 in k 66.963 * [backup-simplify]: Simplify 2 into 2 66.963 * [taylor]: Taking taylor expansion of (* n PI) in k 66.963 * [taylor]: Taking taylor expansion of n in k 66.963 * [backup-simplify]: Simplify n into n 66.963 * [taylor]: Taking taylor expansion of PI in k 66.963 * [backup-simplify]: Simplify PI into PI 66.963 * [backup-simplify]: Simplify (* n PI) into (* n PI) 66.963 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 66.963 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 66.963 * [backup-simplify]: Simplify (- 0) into 0 66.964 * [backup-simplify]: Simplify (+ 1 0) into 1 66.964 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 66.964 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 66.964 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 66.964 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 66.964 * [taylor]: Taking taylor expansion of (sqrt k) in k 66.964 * [taylor]: Taking taylor expansion of k in k 66.964 * [backup-simplify]: Simplify 0 into 0 66.964 * [backup-simplify]: Simplify 1 into 1 66.964 * [backup-simplify]: Simplify (sqrt 0) into 0 66.965 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 66.965 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 66.965 * [taylor]: Taking taylor expansion of 0 in n 66.965 * [backup-simplify]: Simplify 0 into 0 66.965 * [backup-simplify]: Simplify 0 into 0 66.966 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 66.966 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 66.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 66.967 * [backup-simplify]: Simplify (- 1) into -1 66.967 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.967 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 66.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 66.968 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 66.968 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 66.969 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 66.969 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 66.969 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 66.969 * [taylor]: Taking taylor expansion of +nan.0 in n 66.969 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.969 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 66.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 66.969 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 66.969 * [taylor]: Taking taylor expansion of (* n PI) in n 66.969 * [taylor]: Taking taylor expansion of n in n 66.970 * [backup-simplify]: Simplify 0 into 0 66.970 * [backup-simplify]: Simplify 1 into 1 66.970 * [taylor]: Taking taylor expansion of PI in n 66.970 * [backup-simplify]: Simplify PI into PI 66.970 * [backup-simplify]: Simplify (* 0 PI) into 0 66.971 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.971 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 66.971 * [backup-simplify]: Simplify (sqrt 0) into 0 66.972 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 66.972 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 66.972 * [taylor]: Taking taylor expansion of 1/2 in n 66.972 * [backup-simplify]: Simplify 1/2 into 1/2 66.973 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 66.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 66.975 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 66.975 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 66.978 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 66.981 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 66.984 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 66.984 * [backup-simplify]: Simplify 0 into 0 66.987 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 66.988 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 66.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 66.990 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 66.990 * [backup-simplify]: Simplify (- 0) into 0 66.991 * [backup-simplify]: Simplify (+ 0 0) into 0 66.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 66.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 67.000 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 67.003 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 67.009 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 67.009 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 67.009 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 67.009 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 67.010 * [taylor]: Taking taylor expansion of +nan.0 in n 67.010 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.010 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 67.010 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 67.010 * [taylor]: Taking taylor expansion of (sqrt 2) in n 67.010 * [taylor]: Taking taylor expansion of 2 in n 67.010 * [backup-simplify]: Simplify 2 into 2 67.010 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 67.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 67.011 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 67.011 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 67.011 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 67.011 * [taylor]: Taking taylor expansion of 2 in n 67.011 * [backup-simplify]: Simplify 2 into 2 67.011 * [taylor]: Taking taylor expansion of (* n PI) in n 67.011 * [taylor]: Taking taylor expansion of n in n 67.011 * [backup-simplify]: Simplify 0 into 0 67.011 * [backup-simplify]: Simplify 1 into 1 67.011 * [taylor]: Taking taylor expansion of PI in n 67.011 * [backup-simplify]: Simplify PI into PI 67.012 * [backup-simplify]: Simplify (* 0 PI) into 0 67.012 * [backup-simplify]: Simplify (* 2 0) into 0 67.014 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.016 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 67.017 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.017 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 67.017 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 67.017 * [taylor]: Taking taylor expansion of 1/2 in n 67.017 * [backup-simplify]: Simplify 1/2 into 1/2 67.017 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 67.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 67.018 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 67.018 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 67.018 * [taylor]: Taking taylor expansion of (* n PI) in n 67.018 * [taylor]: Taking taylor expansion of n in n 67.018 * [backup-simplify]: Simplify 0 into 0 67.018 * [backup-simplify]: Simplify 1 into 1 67.018 * [taylor]: Taking taylor expansion of PI in n 67.018 * [backup-simplify]: Simplify PI into PI 67.018 * [backup-simplify]: Simplify (* 0 PI) into 0 67.020 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.021 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 67.021 * [backup-simplify]: Simplify (sqrt 0) into 0 67.023 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 67.023 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 67.023 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 67.023 * [taylor]: Taking taylor expansion of +nan.0 in n 67.023 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.023 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 67.023 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 67.023 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 67.023 * [taylor]: Taking taylor expansion of (* n PI) in n 67.023 * [taylor]: Taking taylor expansion of n in n 67.023 * [backup-simplify]: Simplify 0 into 0 67.023 * [backup-simplify]: Simplify 1 into 1 67.023 * [taylor]: Taking taylor expansion of PI in n 67.023 * [backup-simplify]: Simplify PI into PI 67.024 * [backup-simplify]: Simplify (* 0 PI) into 0 67.025 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.026 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 67.026 * [backup-simplify]: Simplify (sqrt 0) into 0 67.028 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 67.028 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 67.028 * [taylor]: Taking taylor expansion of 1/2 in n 67.028 * [backup-simplify]: Simplify 1/2 into 1/2 67.029 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 67.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 67.031 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 67.032 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 67.034 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 67.036 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 67.037 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 67.038 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 67.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 67.040 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 67.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 67.043 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 67.046 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 67.049 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 67.051 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 67.063 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 67.066 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 67.067 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 67.072 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 67.075 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 67.090 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 67.111 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 67.123 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 67.124 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 67.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 67.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 67.128 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 67.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 67.143 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 67.145 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 67.149 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 67.174 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 67.175 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2))) into (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) 67.175 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 67.175 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in n 67.175 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 67.175 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 67.175 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 67.175 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 67.175 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 67.175 * [taylor]: Taking taylor expansion of 1/2 in n 67.175 * [backup-simplify]: Simplify 1/2 into 1/2 67.175 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 67.175 * [taylor]: Taking taylor expansion of 1 in n 67.175 * [backup-simplify]: Simplify 1 into 1 67.175 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.175 * [taylor]: Taking taylor expansion of k in n 67.175 * [backup-simplify]: Simplify k into k 67.175 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.175 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 67.175 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 67.175 * [taylor]: Taking taylor expansion of 2 in n 67.175 * [backup-simplify]: Simplify 2 into 2 67.175 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.175 * [taylor]: Taking taylor expansion of PI in n 67.175 * [backup-simplify]: Simplify PI into PI 67.175 * [taylor]: Taking taylor expansion of n in n 67.175 * [backup-simplify]: Simplify 0 into 0 67.175 * [backup-simplify]: Simplify 1 into 1 67.176 * [backup-simplify]: Simplify (/ PI 1) into PI 67.176 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 67.177 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.177 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 67.178 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 67.178 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 67.179 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.180 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 67.181 * [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))))) 67.182 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 67.182 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 67.182 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.182 * [taylor]: Taking taylor expansion of k in n 67.182 * [backup-simplify]: Simplify k into k 67.182 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.182 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 67.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 67.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 67.183 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 67.183 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 67.183 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 67.183 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 67.183 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 67.183 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 67.183 * [taylor]: Taking taylor expansion of 1/2 in k 67.183 * [backup-simplify]: Simplify 1/2 into 1/2 67.183 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 67.183 * [taylor]: Taking taylor expansion of 1 in k 67.183 * [backup-simplify]: Simplify 1 into 1 67.183 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.183 * [taylor]: Taking taylor expansion of k in k 67.183 * [backup-simplify]: Simplify 0 into 0 67.183 * [backup-simplify]: Simplify 1 into 1 67.183 * [backup-simplify]: Simplify (/ 1 1) into 1 67.183 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 67.183 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 67.183 * [taylor]: Taking taylor expansion of 2 in k 67.184 * [backup-simplify]: Simplify 2 into 2 67.184 * [taylor]: Taking taylor expansion of (/ PI n) in k 67.184 * [taylor]: Taking taylor expansion of PI in k 67.184 * [backup-simplify]: Simplify PI into PI 67.184 * [taylor]: Taking taylor expansion of n in k 67.184 * [backup-simplify]: Simplify n into n 67.184 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 67.184 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 67.184 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 67.184 * [backup-simplify]: Simplify (- 1) into -1 67.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.185 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 67.185 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 67.185 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 67.186 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 67.186 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 67.186 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.186 * [taylor]: Taking taylor expansion of k in k 67.186 * [backup-simplify]: Simplify 0 into 0 67.186 * [backup-simplify]: Simplify 1 into 1 67.186 * [backup-simplify]: Simplify (/ 1 1) into 1 67.186 * [backup-simplify]: Simplify (sqrt 0) into 0 67.188 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 67.188 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 67.188 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 67.188 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 67.188 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 67.188 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 67.188 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 67.188 * [taylor]: Taking taylor expansion of 1/2 in k 67.188 * [backup-simplify]: Simplify 1/2 into 1/2 67.188 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 67.188 * [taylor]: Taking taylor expansion of 1 in k 67.188 * [backup-simplify]: Simplify 1 into 1 67.188 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.188 * [taylor]: Taking taylor expansion of k in k 67.188 * [backup-simplify]: Simplify 0 into 0 67.188 * [backup-simplify]: Simplify 1 into 1 67.189 * [backup-simplify]: Simplify (/ 1 1) into 1 67.189 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 67.189 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 67.189 * [taylor]: Taking taylor expansion of 2 in k 67.189 * [backup-simplify]: Simplify 2 into 2 67.189 * [taylor]: Taking taylor expansion of (/ PI n) in k 67.189 * [taylor]: Taking taylor expansion of PI in k 67.189 * [backup-simplify]: Simplify PI into PI 67.189 * [taylor]: Taking taylor expansion of n in k 67.189 * [backup-simplify]: Simplify n into n 67.189 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 67.189 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 67.189 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 67.190 * [backup-simplify]: Simplify (- 1) into -1 67.190 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.191 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 67.191 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 67.191 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 67.191 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 67.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 67.191 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.191 * [taylor]: Taking taylor expansion of k in k 67.191 * [backup-simplify]: Simplify 0 into 0 67.192 * [backup-simplify]: Simplify 1 into 1 67.192 * [backup-simplify]: Simplify (/ 1 1) into 1 67.192 * [backup-simplify]: Simplify (sqrt 0) into 0 67.194 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 67.194 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 0) into 0 67.194 * [taylor]: Taking taylor expansion of 0 in n 67.194 * [backup-simplify]: Simplify 0 into 0 67.194 * [backup-simplify]: Simplify 0 into 0 67.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 67.196 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 67.196 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 67.196 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 67.196 * [taylor]: Taking taylor expansion of +nan.0 in n 67.196 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.196 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 67.196 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 67.196 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 67.196 * [taylor]: Taking taylor expansion of 1/2 in n 67.196 * [backup-simplify]: Simplify 1/2 into 1/2 67.196 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 67.196 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 67.196 * [taylor]: Taking taylor expansion of 1 in n 67.196 * [backup-simplify]: Simplify 1 into 1 67.196 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.196 * [taylor]: Taking taylor expansion of k in n 67.196 * [backup-simplify]: Simplify k into k 67.196 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.196 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 67.196 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 67.196 * [taylor]: Taking taylor expansion of 2 in n 67.196 * [backup-simplify]: Simplify 2 into 2 67.196 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.196 * [taylor]: Taking taylor expansion of PI in n 67.196 * [backup-simplify]: Simplify PI into PI 67.196 * [taylor]: Taking taylor expansion of n in n 67.197 * [backup-simplify]: Simplify 0 into 0 67.197 * [backup-simplify]: Simplify 1 into 1 67.197 * [backup-simplify]: Simplify (/ PI 1) into PI 67.198 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 67.199 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.199 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 67.199 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 67.200 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.201 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 67.203 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 67.204 * [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))))) 67.205 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 67.206 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 67.207 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 67.208 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 67.208 * [backup-simplify]: Simplify 0 into 0 67.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 67.210 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 67.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 67.211 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 67.211 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 67.211 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 67.211 * [taylor]: Taking taylor expansion of +nan.0 in n 67.211 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.211 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 67.211 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 67.211 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 67.211 * [taylor]: Taking taylor expansion of 1/2 in n 67.211 * [backup-simplify]: Simplify 1/2 into 1/2 67.211 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 67.211 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 67.211 * [taylor]: Taking taylor expansion of 1 in n 67.211 * [backup-simplify]: Simplify 1 into 1 67.211 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.211 * [taylor]: Taking taylor expansion of k in n 67.211 * [backup-simplify]: Simplify k into k 67.211 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.211 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 67.211 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 67.211 * [taylor]: Taking taylor expansion of 2 in n 67.211 * [backup-simplify]: Simplify 2 into 2 67.211 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.211 * [taylor]: Taking taylor expansion of PI in n 67.211 * [backup-simplify]: Simplify PI into PI 67.211 * [taylor]: Taking taylor expansion of n in n 67.211 * [backup-simplify]: Simplify 0 into 0 67.211 * [backup-simplify]: Simplify 1 into 1 67.212 * [backup-simplify]: Simplify (/ PI 1) into PI 67.212 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 67.213 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.213 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 67.213 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 67.214 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.214 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 67.215 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 67.216 * [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))))) 67.216 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 67.217 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 67.218 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 67.219 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 67.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.220 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 67.221 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 67.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 67.221 * [backup-simplify]: Simplify (- 0) into 0 67.221 * [backup-simplify]: Simplify (+ 0 0) into 0 67.222 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.223 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 67.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 67.225 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 67.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0 67.227 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 67.227 * [backup-simplify]: Simplify (- 0) into 0 67.227 * [backup-simplify]: Simplify 0 into 0 67.227 * [backup-simplify]: Simplify 0 into 0 67.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 67.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 67.231 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 67.231 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 67.231 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 67.231 * [taylor]: Taking taylor expansion of +nan.0 in n 67.231 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.231 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 67.231 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 67.231 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 67.231 * [taylor]: Taking taylor expansion of 1/2 in n 67.231 * [backup-simplify]: Simplify 1/2 into 1/2 67.231 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 67.231 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 67.231 * [taylor]: Taking taylor expansion of 1 in n 67.231 * [backup-simplify]: Simplify 1 into 1 67.231 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.231 * [taylor]: Taking taylor expansion of k in n 67.232 * [backup-simplify]: Simplify k into k 67.232 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.232 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 67.232 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 67.232 * [taylor]: Taking taylor expansion of 2 in n 67.232 * [backup-simplify]: Simplify 2 into 2 67.232 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.232 * [taylor]: Taking taylor expansion of PI in n 67.232 * [backup-simplify]: Simplify PI into PI 67.232 * [taylor]: Taking taylor expansion of n in n 67.232 * [backup-simplify]: Simplify 0 into 0 67.232 * [backup-simplify]: Simplify 1 into 1 67.232 * [backup-simplify]: Simplify (/ PI 1) into PI 67.232 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 67.233 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.233 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 67.233 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 67.234 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.234 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 67.235 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 67.236 * [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))))) 67.236 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 67.237 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 67.238 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 67.238 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 67.246 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))) 67.246 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 67.246 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 67.246 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 67.246 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 67.246 * [taylor]: Taking taylor expansion of (/ -1 k) in n 67.246 * [taylor]: Taking taylor expansion of -1 in n 67.246 * [backup-simplify]: Simplify -1 into -1 67.246 * [taylor]: Taking taylor expansion of k in n 67.246 * [backup-simplify]: Simplify k into k 67.246 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 67.246 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 67.246 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 67.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 67.247 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 67.247 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 67.247 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 67.247 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 67.247 * [taylor]: Taking taylor expansion of 1/2 in n 67.247 * [backup-simplify]: Simplify 1/2 into 1/2 67.247 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 67.247 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.247 * [taylor]: Taking taylor expansion of k in n 67.247 * [backup-simplify]: Simplify k into k 67.247 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.247 * [taylor]: Taking taylor expansion of 1 in n 67.247 * [backup-simplify]: Simplify 1 into 1 67.247 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 67.247 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 67.247 * [taylor]: Taking taylor expansion of -2 in n 67.247 * [backup-simplify]: Simplify -2 into -2 67.247 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.247 * [taylor]: Taking taylor expansion of PI in n 67.247 * [backup-simplify]: Simplify PI into PI 67.247 * [taylor]: Taking taylor expansion of n in n 67.247 * [backup-simplify]: Simplify 0 into 0 67.247 * [backup-simplify]: Simplify 1 into 1 67.247 * [backup-simplify]: Simplify (/ PI 1) into PI 67.248 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 67.248 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 67.248 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 67.248 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 67.249 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.250 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 67.250 * [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))))) 67.251 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 67.251 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 67.251 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 67.251 * [taylor]: Taking taylor expansion of (/ -1 k) in k 67.251 * [taylor]: Taking taylor expansion of -1 in k 67.251 * [backup-simplify]: Simplify -1 into -1 67.251 * [taylor]: Taking taylor expansion of k in k 67.251 * [backup-simplify]: Simplify 0 into 0 67.251 * [backup-simplify]: Simplify 1 into 1 67.251 * [backup-simplify]: Simplify (/ -1 1) into -1 67.252 * [backup-simplify]: Simplify (sqrt 0) into 0 67.253 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 67.253 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 67.253 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 67.253 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 67.253 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 67.253 * [taylor]: Taking taylor expansion of 1/2 in k 67.253 * [backup-simplify]: Simplify 1/2 into 1/2 67.253 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 67.253 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.253 * [taylor]: Taking taylor expansion of k in k 67.253 * [backup-simplify]: Simplify 0 into 0 67.253 * [backup-simplify]: Simplify 1 into 1 67.253 * [backup-simplify]: Simplify (/ 1 1) into 1 67.253 * [taylor]: Taking taylor expansion of 1 in k 67.253 * [backup-simplify]: Simplify 1 into 1 67.253 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 67.253 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 67.253 * [taylor]: Taking taylor expansion of -2 in k 67.253 * [backup-simplify]: Simplify -2 into -2 67.253 * [taylor]: Taking taylor expansion of (/ PI n) in k 67.253 * [taylor]: Taking taylor expansion of PI in k 67.253 * [backup-simplify]: Simplify PI into PI 67.253 * [taylor]: Taking taylor expansion of n in k 67.253 * [backup-simplify]: Simplify n into n 67.253 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 67.253 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 67.253 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 67.254 * [backup-simplify]: Simplify (+ 1 0) into 1 67.254 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 67.254 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 67.254 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 67.254 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 67.254 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 67.254 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 67.254 * [taylor]: Taking taylor expansion of (/ -1 k) in k 67.254 * [taylor]: Taking taylor expansion of -1 in k 67.254 * [backup-simplify]: Simplify -1 into -1 67.254 * [taylor]: Taking taylor expansion of k in k 67.254 * [backup-simplify]: Simplify 0 into 0 67.254 * [backup-simplify]: Simplify 1 into 1 67.255 * [backup-simplify]: Simplify (/ -1 1) into -1 67.255 * [backup-simplify]: Simplify (sqrt 0) into 0 67.256 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 67.256 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 67.256 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 67.256 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 67.256 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 67.256 * [taylor]: Taking taylor expansion of 1/2 in k 67.256 * [backup-simplify]: Simplify 1/2 into 1/2 67.256 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 67.256 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.256 * [taylor]: Taking taylor expansion of k in k 67.256 * [backup-simplify]: Simplify 0 into 0 67.256 * [backup-simplify]: Simplify 1 into 1 67.256 * [backup-simplify]: Simplify (/ 1 1) into 1 67.256 * [taylor]: Taking taylor expansion of 1 in k 67.256 * [backup-simplify]: Simplify 1 into 1 67.256 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 67.256 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 67.256 * [taylor]: Taking taylor expansion of -2 in k 67.256 * [backup-simplify]: Simplify -2 into -2 67.256 * [taylor]: Taking taylor expansion of (/ PI n) in k 67.256 * [taylor]: Taking taylor expansion of PI in k 67.256 * [backup-simplify]: Simplify PI into PI 67.256 * [taylor]: Taking taylor expansion of n in k 67.256 * [backup-simplify]: Simplify n into n 67.256 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 67.256 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 67.256 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 67.257 * [backup-simplify]: Simplify (+ 1 0) into 1 67.257 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 67.257 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 67.257 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 67.257 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 67.257 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 67.257 * [taylor]: Taking taylor expansion of +nan.0 in n 67.257 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.257 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 67.257 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 67.257 * [taylor]: Taking taylor expansion of 1/2 in n 67.257 * [backup-simplify]: Simplify 1/2 into 1/2 67.257 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 67.257 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 67.258 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 67.258 * [taylor]: Taking taylor expansion of -2 in n 67.258 * [backup-simplify]: Simplify -2 into -2 67.258 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.258 * [taylor]: Taking taylor expansion of PI in n 67.258 * [backup-simplify]: Simplify PI into PI 67.258 * [taylor]: Taking taylor expansion of n in n 67.258 * [backup-simplify]: Simplify 0 into 0 67.258 * [backup-simplify]: Simplify 1 into 1 67.258 * [backup-simplify]: Simplify (/ PI 1) into PI 67.258 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 67.259 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 67.259 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 67.259 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.259 * [taylor]: Taking taylor expansion of k in n 67.259 * [backup-simplify]: Simplify k into k 67.259 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.259 * [taylor]: Taking taylor expansion of 1 in n 67.259 * [backup-simplify]: Simplify 1 into 1 67.260 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.260 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 67.260 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 67.261 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 67.262 * [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))))) 67.263 * [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)))))) 67.263 * [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)))))) 67.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 67.266 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 67.266 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) 67.266 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 67.266 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 67.266 * [taylor]: Taking taylor expansion of +nan.0 in n 67.266 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.266 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 67.266 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 67.266 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 67.266 * [taylor]: Taking taylor expansion of 1/2 in n 67.266 * [backup-simplify]: Simplify 1/2 into 1/2 67.266 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 67.266 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 67.266 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 67.266 * [taylor]: Taking taylor expansion of -2 in n 67.266 * [backup-simplify]: Simplify -2 into -2 67.266 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.266 * [taylor]: Taking taylor expansion of PI in n 67.266 * [backup-simplify]: Simplify PI into PI 67.266 * [taylor]: Taking taylor expansion of n in n 67.266 * [backup-simplify]: Simplify 0 into 0 67.266 * [backup-simplify]: Simplify 1 into 1 67.267 * [backup-simplify]: Simplify (/ PI 1) into PI 67.267 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 67.268 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 67.268 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 67.268 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.268 * [taylor]: Taking taylor expansion of k in n 67.268 * [backup-simplify]: Simplify k into k 67.268 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.268 * [taylor]: Taking taylor expansion of 1 in n 67.268 * [backup-simplify]: Simplify 1 into 1 67.269 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.269 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 67.269 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 67.270 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 67.271 * [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))))) 67.271 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 67.272 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 67.273 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 67.274 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 67.275 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 67.275 * [backup-simplify]: Simplify (+ 0 0) into 0 67.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.276 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 67.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 67.278 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 67.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 67.280 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 67.283 * [backup-simplify]: Simplify (- (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0 67.283 * [backup-simplify]: Simplify 0 into 0 67.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 67.286 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) 67.286 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 67.286 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 67.286 * [taylor]: Taking taylor expansion of +nan.0 in n 67.286 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.286 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 67.286 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 67.286 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 67.286 * [taylor]: Taking taylor expansion of 1/2 in n 67.286 * [backup-simplify]: Simplify 1/2 into 1/2 67.286 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 67.286 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 67.286 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 67.286 * [taylor]: Taking taylor expansion of -2 in n 67.286 * [backup-simplify]: Simplify -2 into -2 67.286 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.286 * [taylor]: Taking taylor expansion of PI in n 67.286 * [backup-simplify]: Simplify PI into PI 67.286 * [taylor]: Taking taylor expansion of n in n 67.286 * [backup-simplify]: Simplify 0 into 0 67.286 * [backup-simplify]: Simplify 1 into 1 67.287 * [backup-simplify]: Simplify (/ PI 1) into PI 67.287 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 67.288 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 67.288 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 67.288 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.288 * [taylor]: Taking taylor expansion of k in n 67.288 * [backup-simplify]: Simplify k into k 67.288 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.288 * [taylor]: Taking taylor expansion of 1 in n 67.288 * [backup-simplify]: Simplify 1 into 1 67.289 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.289 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 67.289 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 67.290 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 67.291 * [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))))) 67.291 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 67.292 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 67.293 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 67.293 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 67.296 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))) 67.296 * * * * [progress]: [ 4 / 4 ] generating series at (2) 67.296 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 67.296 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 67.296 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 67.296 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 67.296 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 67.296 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 67.296 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 67.296 * [taylor]: Taking taylor expansion of 1/2 in n 67.296 * [backup-simplify]: Simplify 1/2 into 1/2 67.296 * [taylor]: Taking taylor expansion of (- 1 k) in n 67.296 * [taylor]: Taking taylor expansion of 1 in n 67.296 * [backup-simplify]: Simplify 1 into 1 67.296 * [taylor]: Taking taylor expansion of k in n 67.296 * [backup-simplify]: Simplify k into k 67.296 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 67.296 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 67.296 * [taylor]: Taking taylor expansion of 2 in n 67.296 * [backup-simplify]: Simplify 2 into 2 67.296 * [taylor]: Taking taylor expansion of (* n PI) in n 67.297 * [taylor]: Taking taylor expansion of n in n 67.297 * [backup-simplify]: Simplify 0 into 0 67.297 * [backup-simplify]: Simplify 1 into 1 67.297 * [taylor]: Taking taylor expansion of PI in n 67.297 * [backup-simplify]: Simplify PI into PI 67.297 * [backup-simplify]: Simplify (* 0 PI) into 0 67.297 * [backup-simplify]: Simplify (* 2 0) into 0 67.298 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.299 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 67.299 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.299 * [backup-simplify]: Simplify (- k) into (- k) 67.300 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 67.300 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 67.300 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 67.301 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 67.302 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 67.302 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 67.302 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.302 * [taylor]: Taking taylor expansion of k in n 67.302 * [backup-simplify]: Simplify k into k 67.302 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.302 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 67.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 67.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 67.302 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 67.302 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 67.302 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 67.302 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 67.302 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 67.302 * [taylor]: Taking taylor expansion of 1/2 in k 67.302 * [backup-simplify]: Simplify 1/2 into 1/2 67.302 * [taylor]: Taking taylor expansion of (- 1 k) in k 67.302 * [taylor]: Taking taylor expansion of 1 in k 67.302 * [backup-simplify]: Simplify 1 into 1 67.302 * [taylor]: Taking taylor expansion of k in k 67.302 * [backup-simplify]: Simplify 0 into 0 67.302 * [backup-simplify]: Simplify 1 into 1 67.302 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 67.302 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 67.302 * [taylor]: Taking taylor expansion of 2 in k 67.302 * [backup-simplify]: Simplify 2 into 2 67.302 * [taylor]: Taking taylor expansion of (* n PI) in k 67.302 * [taylor]: Taking taylor expansion of n in k 67.302 * [backup-simplify]: Simplify n into n 67.302 * [taylor]: Taking taylor expansion of PI in k 67.302 * [backup-simplify]: Simplify PI into PI 67.303 * [backup-simplify]: Simplify (* n PI) into (* n PI) 67.303 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 67.303 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 67.303 * [backup-simplify]: Simplify (- 0) into 0 67.303 * [backup-simplify]: Simplify (+ 1 0) into 1 67.303 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 67.303 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 67.304 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 67.304 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 67.304 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.304 * [taylor]: Taking taylor expansion of k in k 67.304 * [backup-simplify]: Simplify 0 into 0 67.304 * [backup-simplify]: Simplify 1 into 1 67.304 * [backup-simplify]: Simplify (/ 1 1) into 1 67.304 * [backup-simplify]: Simplify (sqrt 0) into 0 67.305 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 67.305 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 67.305 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 67.305 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 67.305 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 67.305 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 67.305 * [taylor]: Taking taylor expansion of 1/2 in k 67.305 * [backup-simplify]: Simplify 1/2 into 1/2 67.305 * [taylor]: Taking taylor expansion of (- 1 k) in k 67.305 * [taylor]: Taking taylor expansion of 1 in k 67.305 * [backup-simplify]: Simplify 1 into 1 67.305 * [taylor]: Taking taylor expansion of k in k 67.305 * [backup-simplify]: Simplify 0 into 0 67.305 * [backup-simplify]: Simplify 1 into 1 67.305 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 67.305 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 67.305 * [taylor]: Taking taylor expansion of 2 in k 67.305 * [backup-simplify]: Simplify 2 into 2 67.305 * [taylor]: Taking taylor expansion of (* n PI) in k 67.305 * [taylor]: Taking taylor expansion of n in k 67.305 * [backup-simplify]: Simplify n into n 67.305 * [taylor]: Taking taylor expansion of PI in k 67.305 * [backup-simplify]: Simplify PI into PI 67.306 * [backup-simplify]: Simplify (* n PI) into (* n PI) 67.306 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 67.306 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 67.306 * [backup-simplify]: Simplify (- 0) into 0 67.306 * [backup-simplify]: Simplify (+ 1 0) into 1 67.306 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 67.306 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 67.307 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 67.307 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 67.307 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.307 * [taylor]: Taking taylor expansion of k in k 67.307 * [backup-simplify]: Simplify 0 into 0 67.307 * [backup-simplify]: Simplify 1 into 1 67.307 * [backup-simplify]: Simplify (/ 1 1) into 1 67.307 * [backup-simplify]: Simplify (sqrt 0) into 0 67.308 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 67.308 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 67.308 * [taylor]: Taking taylor expansion of 0 in n 67.308 * [backup-simplify]: Simplify 0 into 0 67.308 * [backup-simplify]: Simplify 0 into 0 67.309 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 67.309 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 67.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 67.310 * [backup-simplify]: Simplify (- 1) into -1 67.310 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.311 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 67.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 67.311 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 67.311 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 67.311 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 67.311 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 67.311 * [taylor]: Taking taylor expansion of +nan.0 in n 67.311 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.312 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 67.312 * [taylor]: Taking taylor expansion of (sqrt 2) in n 67.312 * [taylor]: Taking taylor expansion of 2 in n 67.312 * [backup-simplify]: Simplify 2 into 2 67.312 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 67.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 67.312 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 67.312 * [taylor]: Taking taylor expansion of (* n PI) in n 67.312 * [taylor]: Taking taylor expansion of n in n 67.312 * [backup-simplify]: Simplify 0 into 0 67.312 * [backup-simplify]: Simplify 1 into 1 67.312 * [taylor]: Taking taylor expansion of PI in n 67.312 * [backup-simplify]: Simplify PI into PI 67.313 * [backup-simplify]: Simplify (* 0 PI) into 0 67.313 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.314 * [backup-simplify]: Simplify (sqrt 0) into 0 67.314 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 67.315 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 67.315 * [backup-simplify]: Simplify (* +nan.0 0) into 0 67.315 * [backup-simplify]: Simplify (- 0) into 0 67.315 * [backup-simplify]: Simplify 0 into 0 67.315 * [backup-simplify]: Simplify 0 into 0 67.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 67.318 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 67.318 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 67.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 67.320 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 67.320 * [backup-simplify]: Simplify (- 0) into 0 67.320 * [backup-simplify]: Simplify (+ 0 0) into 0 67.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 67.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 67.322 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 67.323 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 67.323 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 67.323 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 67.323 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 67.323 * [taylor]: Taking taylor expansion of +nan.0 in n 67.323 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.323 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 67.323 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 67.323 * [taylor]: Taking taylor expansion of (sqrt 2) in n 67.323 * [taylor]: Taking taylor expansion of 2 in n 67.323 * [backup-simplify]: Simplify 2 into 2 67.323 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 67.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 67.323 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 67.323 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 67.323 * [taylor]: Taking taylor expansion of 2 in n 67.323 * [backup-simplify]: Simplify 2 into 2 67.323 * [taylor]: Taking taylor expansion of (* n PI) in n 67.323 * [taylor]: Taking taylor expansion of n in n 67.323 * [backup-simplify]: Simplify 0 into 0 67.323 * [backup-simplify]: Simplify 1 into 1 67.323 * [taylor]: Taking taylor expansion of PI in n 67.324 * [backup-simplify]: Simplify PI into PI 67.324 * [backup-simplify]: Simplify (* 0 PI) into 0 67.324 * [backup-simplify]: Simplify (* 2 0) into 0 67.325 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.326 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 67.327 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.327 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 67.327 * [taylor]: Taking taylor expansion of (* n PI) in n 67.327 * [taylor]: Taking taylor expansion of n in n 67.327 * [backup-simplify]: Simplify 0 into 0 67.327 * [backup-simplify]: Simplify 1 into 1 67.327 * [taylor]: Taking taylor expansion of PI in n 67.327 * [backup-simplify]: Simplify PI into PI 67.327 * [backup-simplify]: Simplify (* 0 PI) into 0 67.328 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.328 * [backup-simplify]: Simplify (sqrt 0) into 0 67.329 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 67.329 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 67.329 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 67.329 * [taylor]: Taking taylor expansion of +nan.0 in n 67.329 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.329 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 67.329 * [taylor]: Taking taylor expansion of (sqrt 2) in n 67.329 * [taylor]: Taking taylor expansion of 2 in n 67.329 * [backup-simplify]: Simplify 2 into 2 67.329 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 67.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 67.330 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 67.330 * [taylor]: Taking taylor expansion of (* n PI) in n 67.330 * [taylor]: Taking taylor expansion of n in n 67.330 * [backup-simplify]: Simplify 0 into 0 67.330 * [backup-simplify]: Simplify 1 into 1 67.330 * [taylor]: Taking taylor expansion of PI in n 67.330 * [backup-simplify]: Simplify PI into PI 67.330 * [backup-simplify]: Simplify (* 0 PI) into 0 67.331 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.331 * [backup-simplify]: Simplify (sqrt 0) into 0 67.332 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 67.337 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 67.338 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 67.339 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 67.339 * [backup-simplify]: Simplify (* +nan.0 0) into 0 67.340 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 67.340 * [backup-simplify]: Simplify (* +nan.0 0) into 0 67.340 * [backup-simplify]: Simplify (- 0) into 0 67.340 * [backup-simplify]: Simplify (+ 0 0) into 0 67.341 * [backup-simplify]: Simplify (- 0) into 0 67.341 * [backup-simplify]: Simplify 0 into 0 67.342 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 67.345 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 67.347 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 67.349 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 67.349 * [backup-simplify]: Simplify 0 into 0 67.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 67.352 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 67.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 67.355 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 67.356 * [backup-simplify]: Simplify (- 0) into 0 67.356 * [backup-simplify]: Simplify (+ 0 0) into 0 67.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 67.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 67.361 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 67.362 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 67.362 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 67.362 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 67.362 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 67.362 * [taylor]: Taking taylor expansion of +nan.0 in n 67.362 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.362 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 67.362 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 67.362 * [taylor]: Taking taylor expansion of (sqrt 2) in n 67.362 * [taylor]: Taking taylor expansion of 2 in n 67.362 * [backup-simplify]: Simplify 2 into 2 67.363 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 67.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 67.363 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 67.363 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 67.364 * [taylor]: Taking taylor expansion of 2 in n 67.364 * [backup-simplify]: Simplify 2 into 2 67.364 * [taylor]: Taking taylor expansion of (* n PI) in n 67.364 * [taylor]: Taking taylor expansion of n in n 67.364 * [backup-simplify]: Simplify 0 into 0 67.364 * [backup-simplify]: Simplify 1 into 1 67.364 * [taylor]: Taking taylor expansion of PI in n 67.364 * [backup-simplify]: Simplify PI into PI 67.364 * [backup-simplify]: Simplify (* 0 PI) into 0 67.365 * [backup-simplify]: Simplify (* 2 0) into 0 67.366 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.368 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 67.369 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.369 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 67.369 * [taylor]: Taking taylor expansion of (* n PI) in n 67.369 * [taylor]: Taking taylor expansion of n in n 67.369 * [backup-simplify]: Simplify 0 into 0 67.369 * [backup-simplify]: Simplify 1 into 1 67.369 * [taylor]: Taking taylor expansion of PI in n 67.369 * [backup-simplify]: Simplify PI into PI 67.369 * [backup-simplify]: Simplify (* 0 PI) into 0 67.370 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.371 * [backup-simplify]: Simplify (sqrt 0) into 0 67.371 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 67.372 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 67.372 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 67.372 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 67.372 * [taylor]: Taking taylor expansion of +nan.0 in n 67.372 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.372 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 67.372 * [taylor]: Taking taylor expansion of (sqrt 2) in n 67.372 * [taylor]: Taking taylor expansion of 2 in n 67.372 * [backup-simplify]: Simplify 2 into 2 67.372 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 67.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 67.372 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 67.372 * [taylor]: Taking taylor expansion of (* n PI) in n 67.372 * [taylor]: Taking taylor expansion of n in n 67.372 * [backup-simplify]: Simplify 0 into 0 67.372 * [backup-simplify]: Simplify 1 into 1 67.372 * [taylor]: Taking taylor expansion of PI in n 67.372 * [backup-simplify]: Simplify PI into PI 67.373 * [backup-simplify]: Simplify (* 0 PI) into 0 67.374 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.374 * [backup-simplify]: Simplify (sqrt 0) into 0 67.375 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 67.375 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 67.375 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 67.375 * [taylor]: Taking taylor expansion of +nan.0 in n 67.375 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.375 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 67.375 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 67.375 * [taylor]: Taking taylor expansion of (sqrt 2) in n 67.375 * [taylor]: Taking taylor expansion of 2 in n 67.375 * [backup-simplify]: Simplify 2 into 2 67.375 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 67.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 67.375 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 67.376 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 67.376 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 67.376 * [taylor]: Taking taylor expansion of 2 in n 67.376 * [backup-simplify]: Simplify 2 into 2 67.376 * [taylor]: Taking taylor expansion of (* n PI) in n 67.376 * [taylor]: Taking taylor expansion of n in n 67.376 * [backup-simplify]: Simplify 0 into 0 67.376 * [backup-simplify]: Simplify 1 into 1 67.376 * [taylor]: Taking taylor expansion of PI in n 67.376 * [backup-simplify]: Simplify PI into PI 67.376 * [backup-simplify]: Simplify (* 0 PI) into 0 67.376 * [backup-simplify]: Simplify (* 2 0) into 0 67.377 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.378 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 67.379 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.379 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 67.379 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 67.379 * [taylor]: Taking taylor expansion of (* n PI) in n 67.380 * [taylor]: Taking taylor expansion of n in n 67.380 * [backup-simplify]: Simplify 0 into 0 67.380 * [backup-simplify]: Simplify 1 into 1 67.380 * [taylor]: Taking taylor expansion of PI in n 67.380 * [backup-simplify]: Simplify PI into PI 67.380 * [backup-simplify]: Simplify (* 0 PI) into 0 67.381 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.381 * [backup-simplify]: Simplify (sqrt 0) into 0 67.382 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 67.383 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 67.383 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 67.384 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 67.385 * [backup-simplify]: Simplify (* +nan.0 0) into 0 67.385 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 67.385 * [backup-simplify]: Simplify (* +nan.0 0) into 0 67.386 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 67.387 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 67.388 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 67.389 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 67.390 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 67.390 * [backup-simplify]: Simplify (* +nan.0 0) into 0 67.390 * [backup-simplify]: Simplify (- 0) into 0 67.390 * [backup-simplify]: Simplify (+ 0 0) into 0 67.391 * [backup-simplify]: Simplify (- 0) into 0 67.391 * [backup-simplify]: Simplify (+ 0 0) into 0 67.391 * [backup-simplify]: Simplify (- 0) into 0 67.391 * [backup-simplify]: Simplify 0 into 0 67.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 67.392 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 67.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 67.394 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 67.395 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 67.396 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 67.400 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 67.402 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 67.405 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 67.407 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 67.412 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 67.417 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 67.421 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 67.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 67.429 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 67.430 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 67.433 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 67.437 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 67.440 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 67.442 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 67.456 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 67.457 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 67.457 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 67.457 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 67.457 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 67.457 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 67.457 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 67.457 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 67.457 * [taylor]: Taking taylor expansion of 1/2 in n 67.457 * [backup-simplify]: Simplify 1/2 into 1/2 67.457 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 67.457 * [taylor]: Taking taylor expansion of 1 in n 67.457 * [backup-simplify]: Simplify 1 into 1 67.457 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.457 * [taylor]: Taking taylor expansion of k in n 67.457 * [backup-simplify]: Simplify k into k 67.458 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.458 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 67.458 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 67.458 * [taylor]: Taking taylor expansion of 2 in n 67.458 * [backup-simplify]: Simplify 2 into 2 67.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.458 * [taylor]: Taking taylor expansion of PI in n 67.458 * [backup-simplify]: Simplify PI into PI 67.458 * [taylor]: Taking taylor expansion of n in n 67.458 * [backup-simplify]: Simplify 0 into 0 67.458 * [backup-simplify]: Simplify 1 into 1 67.458 * [backup-simplify]: Simplify (/ PI 1) into PI 67.459 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 67.460 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.460 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 67.460 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 67.460 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 67.461 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.462 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 67.464 * [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))))) 67.464 * [taylor]: Taking taylor expansion of (sqrt k) in n 67.464 * [taylor]: Taking taylor expansion of k in n 67.464 * [backup-simplify]: Simplify k into k 67.464 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 67.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 67.464 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 67.464 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 67.464 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 67.464 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 67.464 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 67.464 * [taylor]: Taking taylor expansion of 1/2 in k 67.464 * [backup-simplify]: Simplify 1/2 into 1/2 67.464 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 67.464 * [taylor]: Taking taylor expansion of 1 in k 67.464 * [backup-simplify]: Simplify 1 into 1 67.464 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.464 * [taylor]: Taking taylor expansion of k in k 67.464 * [backup-simplify]: Simplify 0 into 0 67.464 * [backup-simplify]: Simplify 1 into 1 67.465 * [backup-simplify]: Simplify (/ 1 1) into 1 67.465 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 67.465 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 67.465 * [taylor]: Taking taylor expansion of 2 in k 67.465 * [backup-simplify]: Simplify 2 into 2 67.465 * [taylor]: Taking taylor expansion of (/ PI n) in k 67.465 * [taylor]: Taking taylor expansion of PI in k 67.465 * [backup-simplify]: Simplify PI into PI 67.465 * [taylor]: Taking taylor expansion of n in k 67.465 * [backup-simplify]: Simplify n into n 67.465 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 67.465 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 67.465 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 67.465 * [backup-simplify]: Simplify (- 1) into -1 67.466 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.467 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 67.467 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 67.467 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 67.467 * [taylor]: Taking taylor expansion of (sqrt k) in k 67.467 * [taylor]: Taking taylor expansion of k in k 67.467 * [backup-simplify]: Simplify 0 into 0 67.467 * [backup-simplify]: Simplify 1 into 1 67.467 * [backup-simplify]: Simplify (sqrt 0) into 0 67.469 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 67.469 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 67.469 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 67.469 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 67.469 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 67.469 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 67.469 * [taylor]: Taking taylor expansion of 1/2 in k 67.469 * [backup-simplify]: Simplify 1/2 into 1/2 67.469 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 67.469 * [taylor]: Taking taylor expansion of 1 in k 67.469 * [backup-simplify]: Simplify 1 into 1 67.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.469 * [taylor]: Taking taylor expansion of k in k 67.469 * [backup-simplify]: Simplify 0 into 0 67.469 * [backup-simplify]: Simplify 1 into 1 67.470 * [backup-simplify]: Simplify (/ 1 1) into 1 67.470 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 67.470 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 67.470 * [taylor]: Taking taylor expansion of 2 in k 67.470 * [backup-simplify]: Simplify 2 into 2 67.470 * [taylor]: Taking taylor expansion of (/ PI n) in k 67.470 * [taylor]: Taking taylor expansion of PI in k 67.470 * [backup-simplify]: Simplify PI into PI 67.470 * [taylor]: Taking taylor expansion of n in k 67.470 * [backup-simplify]: Simplify n into n 67.470 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 67.470 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 67.470 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 67.471 * [backup-simplify]: Simplify (- 1) into -1 67.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.471 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 67.472 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 67.472 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 67.472 * [taylor]: Taking taylor expansion of (sqrt k) in k 67.472 * [taylor]: Taking taylor expansion of k in k 67.472 * [backup-simplify]: Simplify 0 into 0 67.472 * [backup-simplify]: Simplify 1 into 1 67.472 * [backup-simplify]: Simplify (sqrt 0) into 0 67.474 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 67.474 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 67.474 * [taylor]: Taking taylor expansion of 0 in n 67.474 * [backup-simplify]: Simplify 0 into 0 67.474 * [backup-simplify]: Simplify 0 into 0 67.475 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 67.475 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 67.475 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 67.475 * [taylor]: Taking taylor expansion of +nan.0 in n 67.475 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.475 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 67.475 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 67.475 * [taylor]: Taking taylor expansion of 1/2 in n 67.475 * [backup-simplify]: Simplify 1/2 into 1/2 67.475 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 67.475 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 67.475 * [taylor]: Taking taylor expansion of 1 in n 67.475 * [backup-simplify]: Simplify 1 into 1 67.475 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.475 * [taylor]: Taking taylor expansion of k in n 67.475 * [backup-simplify]: Simplify k into k 67.475 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.475 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 67.475 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 67.475 * [taylor]: Taking taylor expansion of 2 in n 67.475 * [backup-simplify]: Simplify 2 into 2 67.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.475 * [taylor]: Taking taylor expansion of PI in n 67.475 * [backup-simplify]: Simplify PI into PI 67.475 * [taylor]: Taking taylor expansion of n in n 67.475 * [backup-simplify]: Simplify 0 into 0 67.475 * [backup-simplify]: Simplify 1 into 1 67.476 * [backup-simplify]: Simplify (/ PI 1) into PI 67.476 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 67.477 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.477 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 67.477 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 67.479 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.480 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 67.481 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 67.482 * [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))))) 67.483 * [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)))))) 67.485 * [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))))))) 67.486 * [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))))))) 67.486 * [backup-simplify]: Simplify 0 into 0 67.489 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 67.490 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 67.490 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 67.490 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 67.490 * [taylor]: Taking taylor expansion of +nan.0 in n 67.490 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.490 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 67.490 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 67.490 * [taylor]: Taking taylor expansion of 1/2 in n 67.490 * [backup-simplify]: Simplify 1/2 into 1/2 67.490 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 67.490 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 67.490 * [taylor]: Taking taylor expansion of 1 in n 67.490 * [backup-simplify]: Simplify 1 into 1 67.490 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.490 * [taylor]: Taking taylor expansion of k in n 67.490 * [backup-simplify]: Simplify k into k 67.490 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.491 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 67.491 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 67.491 * [taylor]: Taking taylor expansion of 2 in n 67.491 * [backup-simplify]: Simplify 2 into 2 67.491 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.491 * [taylor]: Taking taylor expansion of PI in n 67.491 * [backup-simplify]: Simplify PI into PI 67.491 * [taylor]: Taking taylor expansion of n in n 67.491 * [backup-simplify]: Simplify 0 into 0 67.491 * [backup-simplify]: Simplify 1 into 1 67.491 * [backup-simplify]: Simplify (/ PI 1) into PI 67.492 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 67.493 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.493 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 67.493 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 67.494 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.495 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 67.496 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 67.498 * [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))))) 67.499 * [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)))))) 67.501 * [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))))))) 67.502 * [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))))))) 67.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.504 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 67.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 67.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 67.506 * [backup-simplify]: Simplify (- 0) into 0 67.506 * [backup-simplify]: Simplify (+ 0 0) into 0 67.508 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.509 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 67.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 67.512 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 67.514 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 67.514 * [backup-simplify]: Simplify (- 0) into 0 67.514 * [backup-simplify]: Simplify 0 into 0 67.514 * [backup-simplify]: Simplify 0 into 0 67.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 67.520 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 67.520 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 67.520 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 67.520 * [taylor]: Taking taylor expansion of +nan.0 in n 67.520 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.520 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 67.520 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 67.520 * [taylor]: Taking taylor expansion of 1/2 in n 67.520 * [backup-simplify]: Simplify 1/2 into 1/2 67.520 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 67.520 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 67.520 * [taylor]: Taking taylor expansion of 1 in n 67.520 * [backup-simplify]: Simplify 1 into 1 67.520 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.520 * [taylor]: Taking taylor expansion of k in n 67.520 * [backup-simplify]: Simplify k into k 67.520 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.520 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 67.520 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 67.520 * [taylor]: Taking taylor expansion of 2 in n 67.520 * [backup-simplify]: Simplify 2 into 2 67.521 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.521 * [taylor]: Taking taylor expansion of PI in n 67.521 * [backup-simplify]: Simplify PI into PI 67.521 * [taylor]: Taking taylor expansion of n in n 67.521 * [backup-simplify]: Simplify 0 into 0 67.521 * [backup-simplify]: Simplify 1 into 1 67.521 * [backup-simplify]: Simplify (/ PI 1) into PI 67.522 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 67.523 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.523 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 67.523 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 67.524 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.525 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 67.526 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 67.527 * [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))))) 67.529 * [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)))))) 67.530 * [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))))))) 67.531 * [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))))))) 67.535 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 67.535 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 67.535 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 67.535 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 67.535 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 67.535 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 67.535 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 67.535 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 67.535 * [taylor]: Taking taylor expansion of 1/2 in n 67.535 * [backup-simplify]: Simplify 1/2 into 1/2 67.535 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 67.535 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.535 * [taylor]: Taking taylor expansion of k in n 67.535 * [backup-simplify]: Simplify k into k 67.535 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.535 * [taylor]: Taking taylor expansion of 1 in n 67.535 * [backup-simplify]: Simplify 1 into 1 67.535 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 67.535 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 67.535 * [taylor]: Taking taylor expansion of -2 in n 67.535 * [backup-simplify]: Simplify -2 into -2 67.535 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.535 * [taylor]: Taking taylor expansion of PI in n 67.535 * [backup-simplify]: Simplify PI into PI 67.535 * [taylor]: Taking taylor expansion of n in n 67.535 * [backup-simplify]: Simplify 0 into 0 67.535 * [backup-simplify]: Simplify 1 into 1 67.536 * [backup-simplify]: Simplify (/ PI 1) into PI 67.536 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 67.537 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 67.537 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 67.537 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 67.538 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.538 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 67.539 * [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))))) 67.539 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 67.539 * [taylor]: Taking taylor expansion of (/ -1 k) in n 67.539 * [taylor]: Taking taylor expansion of -1 in n 67.539 * [backup-simplify]: Simplify -1 into -1 67.539 * [taylor]: Taking taylor expansion of k in n 67.539 * [backup-simplify]: Simplify k into k 67.539 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 67.539 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 67.539 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 67.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 67.540 * [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))) 67.540 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 67.540 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 67.540 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 67.540 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 67.540 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 67.540 * [taylor]: Taking taylor expansion of 1/2 in k 67.540 * [backup-simplify]: Simplify 1/2 into 1/2 67.540 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 67.540 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.540 * [taylor]: Taking taylor expansion of k in k 67.540 * [backup-simplify]: Simplify 0 into 0 67.540 * [backup-simplify]: Simplify 1 into 1 67.540 * [backup-simplify]: Simplify (/ 1 1) into 1 67.540 * [taylor]: Taking taylor expansion of 1 in k 67.540 * [backup-simplify]: Simplify 1 into 1 67.540 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 67.540 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 67.540 * [taylor]: Taking taylor expansion of -2 in k 67.540 * [backup-simplify]: Simplify -2 into -2 67.540 * [taylor]: Taking taylor expansion of (/ PI n) in k 67.540 * [taylor]: Taking taylor expansion of PI in k 67.540 * [backup-simplify]: Simplify PI into PI 67.540 * [taylor]: Taking taylor expansion of n in k 67.540 * [backup-simplify]: Simplify n into n 67.541 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 67.541 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 67.541 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 67.541 * [backup-simplify]: Simplify (+ 1 0) into 1 67.541 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 67.541 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 67.541 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 67.541 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 67.541 * [taylor]: Taking taylor expansion of (/ -1 k) in k 67.541 * [taylor]: Taking taylor expansion of -1 in k 67.541 * [backup-simplify]: Simplify -1 into -1 67.541 * [taylor]: Taking taylor expansion of k in k 67.541 * [backup-simplify]: Simplify 0 into 0 67.541 * [backup-simplify]: Simplify 1 into 1 67.542 * [backup-simplify]: Simplify (/ -1 1) into -1 67.542 * [backup-simplify]: Simplify (sqrt 0) into 0 67.543 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 67.543 * [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))))) 67.543 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 67.543 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 67.543 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 67.543 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 67.543 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 67.543 * [taylor]: Taking taylor expansion of 1/2 in k 67.543 * [backup-simplify]: Simplify 1/2 into 1/2 67.543 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 67.543 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.543 * [taylor]: Taking taylor expansion of k in k 67.543 * [backup-simplify]: Simplify 0 into 0 67.543 * [backup-simplify]: Simplify 1 into 1 67.543 * [backup-simplify]: Simplify (/ 1 1) into 1 67.544 * [taylor]: Taking taylor expansion of 1 in k 67.544 * [backup-simplify]: Simplify 1 into 1 67.544 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 67.544 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 67.544 * [taylor]: Taking taylor expansion of -2 in k 67.544 * [backup-simplify]: Simplify -2 into -2 67.544 * [taylor]: Taking taylor expansion of (/ PI n) in k 67.544 * [taylor]: Taking taylor expansion of PI in k 67.544 * [backup-simplify]: Simplify PI into PI 67.544 * [taylor]: Taking taylor expansion of n in k 67.544 * [backup-simplify]: Simplify n into n 67.544 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 67.544 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 67.544 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 67.544 * [backup-simplify]: Simplify (+ 1 0) into 1 67.544 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 67.544 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 67.545 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 67.545 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 67.545 * [taylor]: Taking taylor expansion of (/ -1 k) in k 67.545 * [taylor]: Taking taylor expansion of -1 in k 67.545 * [backup-simplify]: Simplify -1 into -1 67.545 * [taylor]: Taking taylor expansion of k in k 67.545 * [backup-simplify]: Simplify 0 into 0 67.545 * [backup-simplify]: Simplify 1 into 1 67.545 * [backup-simplify]: Simplify (/ -1 1) into -1 67.545 * [backup-simplify]: Simplify (sqrt 0) into 0 67.546 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 67.546 * [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))))) 67.546 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 67.546 * [taylor]: Taking taylor expansion of +nan.0 in n 67.546 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.546 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 67.546 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 67.546 * [taylor]: Taking taylor expansion of 1/2 in n 67.546 * [backup-simplify]: Simplify 1/2 into 1/2 67.546 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 67.546 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 67.546 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 67.546 * [taylor]: Taking taylor expansion of -2 in n 67.546 * [backup-simplify]: Simplify -2 into -2 67.546 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.546 * [taylor]: Taking taylor expansion of PI in n 67.546 * [backup-simplify]: Simplify PI into PI 67.546 * [taylor]: Taking taylor expansion of n in n 67.546 * [backup-simplify]: Simplify 0 into 0 67.546 * [backup-simplify]: Simplify 1 into 1 67.547 * [backup-simplify]: Simplify (/ PI 1) into PI 67.547 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 67.548 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 67.548 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 67.548 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.548 * [taylor]: Taking taylor expansion of k in n 67.548 * [backup-simplify]: Simplify k into k 67.548 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.548 * [taylor]: Taking taylor expansion of 1 in n 67.548 * [backup-simplify]: Simplify 1 into 1 67.549 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.549 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 67.549 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 67.550 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 67.554 * [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))))) 67.555 * [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)))))) 67.556 * [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)))))) 67.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 67.558 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 67.559 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 67.559 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 67.559 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 67.559 * [taylor]: Taking taylor expansion of +nan.0 in n 67.559 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.559 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 67.559 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 67.559 * [taylor]: Taking taylor expansion of 1/2 in n 67.559 * [backup-simplify]: Simplify 1/2 into 1/2 67.559 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 67.559 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 67.559 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 67.559 * [taylor]: Taking taylor expansion of -2 in n 67.559 * [backup-simplify]: Simplify -2 into -2 67.559 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.559 * [taylor]: Taking taylor expansion of PI in n 67.559 * [backup-simplify]: Simplify PI into PI 67.559 * [taylor]: Taking taylor expansion of n in n 67.559 * [backup-simplify]: Simplify 0 into 0 67.559 * [backup-simplify]: Simplify 1 into 1 67.560 * [backup-simplify]: Simplify (/ PI 1) into PI 67.560 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 67.560 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 67.560 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 67.560 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.560 * [taylor]: Taking taylor expansion of k in n 67.560 * [backup-simplify]: Simplify k into k 67.561 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.561 * [taylor]: Taking taylor expansion of 1 in n 67.561 * [backup-simplify]: Simplify 1 into 1 67.561 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.561 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 67.562 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 67.563 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 67.563 * [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))))) 67.564 * [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)))))) 67.565 * [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))))))) 67.565 * [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))))))) 67.567 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 67.568 * [backup-simplify]: Simplify (+ 0 0) into 0 67.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.569 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 67.571 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 67.572 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 67.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 67.576 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 67.578 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 67.578 * [backup-simplify]: Simplify 0 into 0 67.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 67.585 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 67.585 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 67.585 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 67.585 * [taylor]: Taking taylor expansion of +nan.0 in n 67.585 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.585 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 67.585 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 67.585 * [taylor]: Taking taylor expansion of 1/2 in n 67.585 * [backup-simplify]: Simplify 1/2 into 1/2 67.585 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 67.585 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 67.585 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 67.585 * [taylor]: Taking taylor expansion of -2 in n 67.585 * [backup-simplify]: Simplify -2 into -2 67.585 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.585 * [taylor]: Taking taylor expansion of PI in n 67.585 * [backup-simplify]: Simplify PI into PI 67.585 * [taylor]: Taking taylor expansion of n in n 67.585 * [backup-simplify]: Simplify 0 into 0 67.585 * [backup-simplify]: Simplify 1 into 1 67.586 * [backup-simplify]: Simplify (/ PI 1) into PI 67.586 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 67.587 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 67.587 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 67.587 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.587 * [taylor]: Taking taylor expansion of k in n 67.587 * [backup-simplify]: Simplify k into k 67.587 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.587 * [taylor]: Taking taylor expansion of 1 in n 67.587 * [backup-simplify]: Simplify 1 into 1 67.589 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.589 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 67.590 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 67.591 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 67.593 * [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))))) 67.594 * [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)))))) 67.595 * [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))))))) 67.596 * [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))))))) 67.600 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 67.600 * * * [progress]: simplifying candidates 67.600 * * * * [progress]: [ 1 / 307 ] simplifiying candidate # 67.601 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 67.601 * * [simplify]: iters left: 6 (13 enodes) 67.608 * * [simplify]: iters left: 5 (54 enodes) 67.626 * * [simplify]: iters left: 4 (97 enodes) 67.647 * * [simplify]: iters left: 3 (242 enodes) 67.752 * * [simplify]: Extracting #0: cost 1 inf + 0 67.752 * * [simplify]: Extracting #1: cost 28 inf + 0 67.752 * * [simplify]: Extracting #2: cost 93 inf + 2 67.753 * * [simplify]: Extracting #3: cost 139 inf + 75 67.755 * * [simplify]: Extracting #4: cost 102 inf + 5195 67.764 * * [simplify]: Extracting #5: cost 14 inf + 28777 67.777 * * [simplify]: Extracting #6: cost 0 inf + 33789 67.786 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 67.786 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2))))) 67.786 * * * * [progress]: [ 2 / 307 ] simplifiying candidate # 67.786 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 67.786 * * [simplify]: iters left: 6 (12 enodes) 67.793 * * [simplify]: iters left: 5 (52 enodes) 67.802 * * [simplify]: iters left: 4 (90 enodes) 67.821 * * [simplify]: iters left: 3 (201 enodes) 67.917 * * [simplify]: iters left: 2 (496 enodes) 68.136 * * [simplify]: Extracting #0: cost 1 inf + 0 68.136 * * [simplify]: Extracting #1: cost 22 inf + 0 68.137 * * [simplify]: Extracting #2: cost 122 inf + 2 68.138 * * [simplify]: Extracting #3: cost 296 inf + 186 68.140 * * [simplify]: Extracting #4: cost 252 inf + 7310 68.149 * * [simplify]: Extracting #5: cost 66 inf + 59079 68.165 * * [simplify]: Extracting #6: cost 1 inf + 82178 68.204 * * [simplify]: Extracting #7: cost 0 inf + 82436 68.230 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 68.230 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2))))) 68.230 * * * * [progress]: [ 3 / 307 ] simplifiying candidate # 68.231 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 68.231 * * [simplify]: iters left: 6 (11 enodes) 68.234 * * [simplify]: iters left: 5 (51 enodes) 68.244 * * [simplify]: iters left: 4 (97 enodes) 68.260 * * [simplify]: iters left: 3 (197 enodes) 68.339 * * [simplify]: iters left: 2 (491 enodes) 68.670 * * [simplify]: Extracting #0: cost 1 inf + 0 68.671 * * [simplify]: Extracting #1: cost 27 inf + 0 68.671 * * [simplify]: Extracting #2: cost 139 inf + 2 68.672 * * [simplify]: Extracting #3: cost 300 inf + 382 68.674 * * [simplify]: Extracting #4: cost 242 inf + 10228 68.684 * * [simplify]: Extracting #5: cost 53 inf + 57829 68.705 * * [simplify]: Extracting #6: cost 2 inf + 73504 68.737 * * [simplify]: Extracting #7: cost 0 inf + 74187 68.753 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 68.753 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))) 68.753 * * * * [progress]: [ 4 / 307 ] simplifiying candidate # 68.753 * * * * [progress]: [ 5 / 307 ] simplifiying candidate # 68.754 * [simplify]: Simplifying (* n (* 2 PI)) 68.754 * * [simplify]: iters left: 4 (5 enodes) 68.755 * * [simplify]: iters left: 3 (19 enodes) 68.761 * * [simplify]: iters left: 2 (27 enodes) 68.766 * * [simplify]: iters left: 1 (32 enodes) 68.770 * * [simplify]: Extracting #0: cost 1 inf + 0 68.770 * * [simplify]: Extracting #1: cost 8 inf + 0 68.770 * * [simplify]: Extracting #2: cost 7 inf + 45 68.770 * * [simplify]: Extracting #3: cost 0 inf + 421 68.770 * [simplify]: Simplified to (* (* PI 2) n) 68.770 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 68.771 * * * * [progress]: [ 6 / 307 ] simplifiying candidate # 68.771 * [simplify]: Simplifying (* n (* 2 PI)) 68.771 * * [simplify]: iters left: 4 (5 enodes) 68.774 * * [simplify]: iters left: 3 (19 enodes) 68.781 * * [simplify]: iters left: 2 (27 enodes) 68.789 * * [simplify]: iters left: 1 (32 enodes) 68.797 * * [simplify]: Extracting #0: cost 1 inf + 0 68.797 * * [simplify]: Extracting #1: cost 8 inf + 0 68.797 * * [simplify]: Extracting #2: cost 7 inf + 45 68.798 * * [simplify]: Extracting #3: cost 0 inf + 421 68.798 * [simplify]: Simplified to (* (* PI 2) n) 68.798 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 68.798 * * * * [progress]: [ 7 / 307 ] simplifiying candidate # 68.798 * [simplify]: Simplifying (* n (* 2 PI)) 68.799 * * [simplify]: iters left: 4 (5 enodes) 68.801 * * [simplify]: iters left: 3 (19 enodes) 68.807 * * [simplify]: iters left: 2 (27 enodes) 68.815 * * [simplify]: iters left: 1 (32 enodes) 68.823 * * [simplify]: Extracting #0: cost 1 inf + 0 68.823 * * [simplify]: Extracting #1: cost 8 inf + 0 68.823 * * [simplify]: Extracting #2: cost 7 inf + 45 68.823 * * [simplify]: Extracting #3: cost 0 inf + 421 68.824 * [simplify]: Simplified to (* (* PI 2) n) 68.824 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 68.824 * * * * [progress]: [ 8 / 307 ] simplifiying candidate # 68.824 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 68.824 * * [simplify]: iters left: 5 (8 enodes) 68.829 * * [simplify]: iters left: 4 (31 enodes) 68.839 * * [simplify]: iters left: 3 (51 enodes) 68.856 * * [simplify]: iters left: 2 (85 enodes) 68.883 * * [simplify]: iters left: 1 (152 enodes) 68.922 * * [simplify]: Extracting #0: cost 1 inf + 0 68.922 * * [simplify]: Extracting #1: cost 13 inf + 0 68.922 * * [simplify]: Extracting #2: cost 59 inf + 1 68.922 * * [simplify]: Extracting #3: cost 76 inf + 9 68.923 * * [simplify]: Extracting #4: cost 41 inf + 3303 68.924 * * [simplify]: Extracting #5: cost 16 inf + 10676 68.927 * * [simplify]: Extracting #6: cost 0 inf + 21028 68.930 * * [simplify]: Extracting #7: cost 0 inf + 20456 68.935 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 68.935 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))))) 68.935 * * * * [progress]: [ 9 / 307 ] simplifiying candidate # 68.936 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 68.936 * * [simplify]: iters left: 5 (6 enodes) 68.940 * * [simplify]: iters left: 4 (26 enodes) 68.948 * * [simplify]: iters left: 3 (35 enodes) 68.958 * * [simplify]: Extracting #0: cost 1 inf + 0 68.958 * * [simplify]: Extracting #1: cost 3 inf + 0 68.958 * * [simplify]: Extracting #2: cost 8 inf + 0 68.958 * * [simplify]: Extracting #3: cost 11 inf + 2 68.959 * * [simplify]: Extracting #4: cost 8 inf + 87 68.959 * * [simplify]: Extracting #5: cost 2 inf + 500 68.959 * * [simplify]: Extracting #6: cost 0 inf + 746 68.959 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 68.959 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))) 68.960 * * * * [progress]: [ 10 / 307 ] simplifiying candidate # 68.960 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 68.960 * * [simplify]: iters left: 5 (6 enodes) 68.964 * * [simplify]: iters left: 4 (26 enodes) 68.972 * * [simplify]: iters left: 3 (35 enodes) 68.983 * * [simplify]: Extracting #0: cost 1 inf + 0 68.983 * * [simplify]: Extracting #1: cost 3 inf + 0 68.984 * * [simplify]: Extracting #2: cost 8 inf + 0 68.984 * * [simplify]: Extracting #3: cost 11 inf + 2 68.984 * * [simplify]: Extracting #4: cost 8 inf + 87 68.984 * * [simplify]: Extracting #5: cost 2 inf + 460 68.984 * * [simplify]: Extracting #6: cost 0 inf + 666 68.985 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 68.985 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))) 68.985 * * * * [progress]: [ 11 / 307 ] simplifiying candidate # 68.985 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 68.985 * * [simplify]: iters left: 5 (7 enodes) 68.990 * * [simplify]: iters left: 4 (25 enodes) 68.998 * * [simplify]: iters left: 3 (30 enodes) 69.006 * * [simplify]: Extracting #0: cost 1 inf + 0 69.007 * * [simplify]: Extracting #1: cost 4 inf + 0 69.007 * * [simplify]: Extracting #2: cost 8 inf + 0 69.007 * * [simplify]: Extracting #3: cost 10 inf + 82 69.007 * * [simplify]: Extracting #4: cost 7 inf + 206 69.007 * * [simplify]: Extracting #5: cost 2 inf + 575 69.007 * * [simplify]: Extracting #6: cost 1 inf + 818 69.008 * * [simplify]: Extracting #7: cost 0 inf + 1061 69.008 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 69.008 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))) 69.008 * * * * [progress]: [ 12 / 307 ] simplifiying candidate # 69.008 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 69.009 * * [simplify]: iters left: 5 (7 enodes) 69.013 * * [simplify]: iters left: 4 (25 enodes) 69.024 * * [simplify]: iters left: 3 (30 enodes) 69.032 * * [simplify]: Extracting #0: cost 1 inf + 0 69.032 * * [simplify]: Extracting #1: cost 4 inf + 0 69.032 * * [simplify]: Extracting #2: cost 8 inf + 0 69.032 * * [simplify]: Extracting #3: cost 10 inf + 42 69.032 * * [simplify]: Extracting #4: cost 7 inf + 126 69.032 * * [simplify]: Extracting #5: cost 2 inf + 495 69.032 * * [simplify]: Extracting #6: cost 1 inf + 698 69.032 * * [simplify]: Extracting #7: cost 0 inf + 901 69.033 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 69.033 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))) 69.033 * * * * [progress]: [ 13 / 307 ] simplifiying candidate # 69.033 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 69.033 * * [simplify]: iters left: 5 (6 enodes) 69.035 * * [simplify]: iters left: 4 (22 enodes) 69.039 * * [simplify]: iters left: 3 (27 enodes) 69.043 * * [simplify]: Extracting #0: cost 1 inf + 0 69.043 * * [simplify]: Extracting #1: cost 4 inf + 0 69.043 * * [simplify]: Extracting #2: cost 5 inf + 1 69.043 * * [simplify]: Extracting #3: cost 9 inf + 1 69.043 * * [simplify]: Extracting #4: cost 8 inf + 3 69.043 * * [simplify]: Extracting #5: cost 4 inf + 169 69.043 * * [simplify]: Extracting #6: cost 1 inf + 576 69.043 * * [simplify]: Extracting #7: cost 0 inf + 739 69.043 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 69.043 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))) 69.044 * * * * [progress]: [ 14 / 307 ] simplifiying candidate # 69.044 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 69.044 * * [simplify]: iters left: 5 (7 enodes) 69.046 * * [simplify]: iters left: 4 (25 enodes) 69.050 * * [simplify]: iters left: 3 (30 enodes) 69.055 * * [simplify]: Extracting #0: cost 1 inf + 0 69.055 * * [simplify]: Extracting #1: cost 4 inf + 0 69.055 * * [simplify]: Extracting #2: cost 8 inf + 0 69.055 * * [simplify]: Extracting #3: cost 10 inf + 82 69.055 * * [simplify]: Extracting #4: cost 7 inf + 206 69.055 * * [simplify]: Extracting #5: cost 2 inf + 495 69.055 * * [simplify]: Extracting #6: cost 1 inf + 698 69.055 * * [simplify]: Extracting #7: cost 0 inf + 901 69.056 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 69.056 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))) 69.056 * * * * [progress]: [ 15 / 307 ] simplifiying candidate # 69.056 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 69.056 * * [simplify]: iters left: 5 (7 enodes) 69.058 * * [simplify]: iters left: 4 (25 enodes) 69.062 * * [simplify]: iters left: 3 (30 enodes) 69.071 * * [simplify]: Extracting #0: cost 1 inf + 0 69.071 * * [simplify]: Extracting #1: cost 4 inf + 0 69.071 * * [simplify]: Extracting #2: cost 8 inf + 0 69.071 * * [simplify]: Extracting #3: cost 10 inf + 42 69.072 * * [simplify]: Extracting #4: cost 7 inf + 126 69.072 * * [simplify]: Extracting #5: cost 2 inf + 415 69.072 * * [simplify]: Extracting #6: cost 1 inf + 578 69.072 * * [simplify]: Extracting #7: cost 0 inf + 741 69.073 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 69.073 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))) 69.073 * * * * [progress]: [ 16 / 307 ] simplifiying candidate # 69.073 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 69.073 * * [simplify]: iters left: 5 (6 enodes) 69.077 * * [simplify]: iters left: 4 (22 enodes) 69.084 * * [simplify]: iters left: 3 (27 enodes) 69.092 * * [simplify]: Extracting #0: cost 1 inf + 0 69.092 * * [simplify]: Extracting #1: cost 4 inf + 0 69.092 * * [simplify]: Extracting #2: cost 5 inf + 1 69.092 * * [simplify]: Extracting #3: cost 9 inf + 1 69.092 * * [simplify]: Extracting #4: cost 8 inf + 3 69.092 * * [simplify]: Extracting #5: cost 4 inf + 169 69.092 * * [simplify]: Extracting #6: cost 1 inf + 456 69.093 * * [simplify]: Extracting #7: cost 0 inf + 579 69.093 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 69.093 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))) 69.093 * * * * [progress]: [ 17 / 307 ] simplifiying candidate # 69.093 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 69.094 * * [simplify]: iters left: 4 (6 enodes) 69.097 * * [simplify]: iters left: 3 (25 enodes) 69.105 * * [simplify]: iters left: 2 (36 enodes) 69.116 * * [simplify]: iters left: 1 (40 enodes) 69.128 * * [simplify]: Extracting #0: cost 1 inf + 0 69.128 * * [simplify]: Extracting #1: cost 7 inf + 0 69.128 * * [simplify]: Extracting #2: cost 16 inf + 0 69.128 * * [simplify]: Extracting #3: cost 13 inf + 44 69.128 * * [simplify]: Extracting #4: cost 3 inf + 1103 69.129 * * [simplify]: Extracting #5: cost 0 inf + 1469 69.129 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 69.130 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 69.130 * * * * [progress]: [ 18 / 307 ] simplifiying candidate # 69.130 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 69.130 * * [simplify]: iters left: 4 (6 enodes) 69.135 * * [simplify]: iters left: 3 (25 enodes) 69.144 * * [simplify]: iters left: 2 (36 enodes) 69.151 * * [simplify]: iters left: 1 (40 enodes) 69.157 * * [simplify]: Extracting #0: cost 1 inf + 0 69.157 * * [simplify]: Extracting #1: cost 7 inf + 0 69.157 * * [simplify]: Extracting #2: cost 16 inf + 0 69.157 * * [simplify]: Extracting #3: cost 13 inf + 44 69.158 * * [simplify]: Extracting #4: cost 3 inf + 823 69.158 * * [simplify]: Extracting #5: cost 0 inf + 1069 69.158 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 69.158 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 69.158 * * * * [progress]: [ 19 / 307 ] simplifiying candidate # 69.158 * [simplify]: Simplifying (/ (- 1 k) 2) 69.158 * * [simplify]: iters left: 4 (5 enodes) 69.160 * * [simplify]: iters left: 3 (23 enodes) 69.164 * * [simplify]: iters left: 2 (32 enodes) 69.169 * * [simplify]: Extracting #0: cost 1 inf + 0 69.169 * * [simplify]: Extracting #1: cost 6 inf + 0 69.169 * * [simplify]: Extracting #2: cost 9 inf + 2 69.169 * * [simplify]: Extracting #3: cost 6 inf + 87 69.169 * * [simplify]: Extracting #4: cost 0 inf + 420 69.169 * [simplify]: Simplified to (/ (- 1 k) 2) 69.169 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))) 69.170 * * * * [progress]: [ 20 / 307 ] simplifiying candidate # 69.170 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 69.170 * * [simplify]: iters left: 5 (8 enodes) 69.172 * * [simplify]: iters left: 4 (31 enodes) 69.177 * * [simplify]: iters left: 3 (45 enodes) 69.184 * * [simplify]: iters left: 2 (51 enodes) 69.191 * * [simplify]: iters left: 1 (52 enodes) 69.198 * * [simplify]: Extracting #0: cost 1 inf + 0 69.198 * * [simplify]: Extracting #1: cost 8 inf + 0 69.198 * * [simplify]: Extracting #2: cost 18 inf + 0 69.199 * * [simplify]: Extracting #3: cost 19 inf + 2 69.199 * * [simplify]: Extracting #4: cost 9 inf + 977 69.199 * * [simplify]: Extracting #5: cost 2 inf + 1790 69.200 * * [simplify]: Extracting #6: cost 0 inf + 2195 69.201 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 69.201 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 69.201 * * * * [progress]: [ 21 / 307 ] simplifiying candidate # 69.201 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 69.201 * * [simplify]: iters left: 5 (8 enodes) 69.206 * * [simplify]: iters left: 4 (31 enodes) 69.213 * * [simplify]: iters left: 3 (45 enodes) 69.219 * * [simplify]: iters left: 2 (51 enodes) 69.226 * * [simplify]: iters left: 1 (52 enodes) 69.235 * * [simplify]: Extracting #0: cost 1 inf + 0 69.235 * * [simplify]: Extracting #1: cost 8 inf + 0 69.236 * * [simplify]: Extracting #2: cost 18 inf + 0 69.236 * * [simplify]: Extracting #3: cost 19 inf + 2 69.236 * * [simplify]: Extracting #4: cost 9 inf + 697 69.236 * * [simplify]: Extracting #5: cost 2 inf + 1390 69.236 * * [simplify]: Extracting #6: cost 0 inf + 1715 69.237 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 69.237 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 69.237 * * * * [progress]: [ 22 / 307 ] simplifiying candidate # 69.237 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 69.237 * * [simplify]: iters left: 5 (7 enodes) 69.242 * * [simplify]: iters left: 4 (29 enodes) 69.251 * * [simplify]: iters left: 3 (43 enodes) 69.262 * * [simplify]: iters left: 2 (47 enodes) 69.274 * * [simplify]: Extracting #0: cost 1 inf + 0 69.274 * * [simplify]: Extracting #1: cost 7 inf + 0 69.274 * * [simplify]: Extracting #2: cost 11 inf + 2 69.274 * * [simplify]: Extracting #3: cost 13 inf + 3 69.274 * * [simplify]: Extracting #4: cost 11 inf + 45 69.274 * * [simplify]: Extracting #5: cost 0 inf + 1066 69.275 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 69.275 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 69.275 * * * * [progress]: [ 23 / 307 ] simplifiying candidate # 69.275 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 69.275 * * [simplify]: iters left: 5 (7 enodes) 69.280 * * [simplify]: iters left: 4 (28 enodes) 69.289 * * [simplify]: iters left: 3 (39 enodes) 69.301 * * [simplify]: iters left: 2 (43 enodes) 69.314 * * [simplify]: Extracting #0: cost 1 inf + 0 69.314 * * [simplify]: Extracting #1: cost 7 inf + 0 69.314 * * [simplify]: Extracting #2: cost 16 inf + 0 69.314 * * [simplify]: Extracting #3: cost 15 inf + 164 69.314 * * [simplify]: Extracting #4: cost 13 inf + 287 69.315 * * [simplify]: Extracting #5: cost 5 inf + 1180 69.315 * * [simplify]: Extracting #6: cost 0 inf + 1951 69.316 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 69.316 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 69.316 * * * * [progress]: [ 24 / 307 ] simplifiying candidate # 69.316 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 69.317 * * [simplify]: iters left: 5 (7 enodes) 69.321 * * [simplify]: iters left: 4 (28 enodes) 69.331 * * [simplify]: iters left: 3 (39 enodes) 69.342 * * [simplify]: iters left: 2 (43 enodes) 69.351 * * [simplify]: Extracting #0: cost 1 inf + 0 69.351 * * [simplify]: Extracting #1: cost 7 inf + 0 69.351 * * [simplify]: Extracting #2: cost 16 inf + 0 69.351 * * [simplify]: Extracting #3: cost 15 inf + 84 69.351 * * [simplify]: Extracting #4: cost 13 inf + 167 69.351 * * [simplify]: Extracting #5: cost 5 inf + 900 69.352 * * [simplify]: Extracting #6: cost 0 inf + 1551 69.352 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 69.352 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 69.352 * * * * [progress]: [ 25 / 307 ] simplifiying candidate # 69.352 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 69.352 * * [simplify]: iters left: 5 (6 enodes) 69.355 * * [simplify]: iters left: 4 (26 enodes) 69.359 * * [simplify]: iters left: 3 (35 enodes) 69.365 * * [simplify]: Extracting #0: cost 1 inf + 0 69.365 * * [simplify]: Extracting #1: cost 6 inf + 0 69.365 * * [simplify]: Extracting #2: cost 9 inf + 2 69.365 * * [simplify]: Extracting #3: cost 11 inf + 3 69.365 * * [simplify]: Extracting #4: cost 10 inf + 4 69.365 * * [simplify]: Extracting #5: cost 3 inf + 535 69.365 * * [simplify]: Extracting #6: cost 0 inf + 822 69.366 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 69.366 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 69.366 * * * * [progress]: [ 26 / 307 ] simplifiying candidate # 69.366 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 69.366 * * [simplify]: iters left: 4 (6 enodes) 69.371 * * [simplify]: iters left: 3 (25 enodes) 69.376 * * [simplify]: iters left: 2 (36 enodes) 69.382 * * [simplify]: iters left: 1 (40 enodes) 69.390 * * [simplify]: Extracting #0: cost 1 inf + 0 69.390 * * [simplify]: Extracting #1: cost 7 inf + 0 69.390 * * [simplify]: Extracting #2: cost 16 inf + 0 69.390 * * [simplify]: Extracting #3: cost 13 inf + 44 69.390 * * [simplify]: Extracting #4: cost 3 inf + 1103 69.391 * * [simplify]: Extracting #5: cost 0 inf + 1469 69.391 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 69.391 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 69.391 * * * * [progress]: [ 27 / 307 ] simplifiying candidate # 69.392 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 69.392 * * [simplify]: iters left: 4 (6 enodes) 69.395 * * [simplify]: iters left: 3 (25 enodes) 69.404 * * [simplify]: iters left: 2 (36 enodes) 69.414 * * [simplify]: iters left: 1 (40 enodes) 69.421 * * [simplify]: Extracting #0: cost 1 inf + 0 69.421 * * [simplify]: Extracting #1: cost 7 inf + 0 69.421 * * [simplify]: Extracting #2: cost 16 inf + 0 69.421 * * [simplify]: Extracting #3: cost 13 inf + 44 69.421 * * [simplify]: Extracting #4: cost 3 inf + 823 69.421 * * [simplify]: Extracting #5: cost 0 inf + 1069 69.421 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 69.422 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 69.422 * * * * [progress]: [ 28 / 307 ] simplifiying candidate # 69.422 * [simplify]: Simplifying (/ (- 1 k) 2) 69.422 * * [simplify]: iters left: 4 (5 enodes) 69.424 * * [simplify]: iters left: 3 (23 enodes) 69.428 * * [simplify]: iters left: 2 (32 enodes) 69.434 * * [simplify]: Extracting #0: cost 1 inf + 0 69.434 * * [simplify]: Extracting #1: cost 6 inf + 0 69.434 * * [simplify]: Extracting #2: cost 9 inf + 2 69.434 * * [simplify]: Extracting #3: cost 6 inf + 87 69.434 * * [simplify]: Extracting #4: cost 0 inf + 420 69.434 * [simplify]: Simplified to (/ (- 1 k) 2) 69.434 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))) 69.434 * * * * [progress]: [ 29 / 307 ] simplifiying candidate # 69.435 * [simplify]: Simplifying (/ (- 1 k) 2) 69.435 * * [simplify]: iters left: 4 (5 enodes) 69.437 * * [simplify]: iters left: 3 (23 enodes) 69.441 * * [simplify]: iters left: 2 (32 enodes) 69.449 * * [simplify]: Extracting #0: cost 1 inf + 0 69.450 * * [simplify]: Extracting #1: cost 6 inf + 0 69.450 * * [simplify]: Extracting #2: cost 9 inf + 2 69.450 * * [simplify]: Extracting #3: cost 6 inf + 87 69.450 * * [simplify]: Extracting #4: cost 0 inf + 420 69.450 * [simplify]: Simplified to (/ (- 1 k) 2) 69.450 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))))) 69.450 * * * * [progress]: [ 30 / 307 ] simplifiying candidate # 69.451 * [simplify]: Simplifying (/ 1 2) 69.451 * * [simplify]: iters left: 2 (3 enodes) 69.454 * * [simplify]: iters left: 1 (12 enodes) 69.458 * * [simplify]: Extracting #0: cost 1 inf + 0 69.458 * * [simplify]: Extracting #1: cost 0 inf + 1 69.458 * [simplify]: Simplified to 1/2 69.458 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2)))) 69.458 * * * * [progress]: [ 31 / 307 ] simplifiying candidate # 69.458 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 69.458 * * [simplify]: iters left: 5 (7 enodes) 69.463 * * [simplify]: iters left: 4 (32 enodes) 69.473 * * [simplify]: iters left: 3 (57 enodes) 69.493 * * [simplify]: iters left: 2 (88 enodes) 69.519 * * [simplify]: iters left: 1 (156 enodes) 69.551 * * [simplify]: Extracting #0: cost 1 inf + 0 69.552 * * [simplify]: Extracting #1: cost 13 inf + 0 69.552 * * [simplify]: Extracting #2: cost 49 inf + 2 69.552 * * [simplify]: Extracting #3: cost 80 inf + 6 69.552 * * [simplify]: Extracting #4: cost 58 inf + 1840 69.554 * * [simplify]: Extracting #5: cost 22 inf + 9206 69.557 * * [simplify]: Extracting #6: cost 1 inf + 20886 69.560 * * [simplify]: Extracting #7: cost 0 inf + 21301 69.563 * * [simplify]: Extracting #8: cost 0 inf + 21130 69.566 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 69.566 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 69.566 * * * * [progress]: [ 32 / 307 ] simplifiying candidate # 69.566 * * * * [progress]: [ 33 / 307 ] simplifiying candidate # 69.566 * * * * [progress]: [ 34 / 307 ] simplifiying candidate # 69.566 * * * * [progress]: [ 35 / 307 ] simplifiying candidate # 69.566 * * * * [progress]: [ 36 / 307 ] simplifiying candidate # 69.566 * * * * [progress]: [ 37 / 307 ] simplifiying candidate # 69.566 * * * * [progress]: [ 38 / 307 ] simplifiying candidate # 69.566 * * * * [progress]: [ 39 / 307 ] simplifiying candidate # 69.566 * * * * [progress]: [ 40 / 307 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 69.566 * * * * [progress]: [ 41 / 307 ] simplifiying candidate # 69.567 * [simplify]: Simplifying (* n (* 2 PI)) 69.567 * * [simplify]: iters left: 4 (5 enodes) 69.568 * * [simplify]: iters left: 3 (19 enodes) 69.572 * * [simplify]: iters left: 2 (27 enodes) 69.576 * * [simplify]: iters left: 1 (32 enodes) 69.583 * * [simplify]: Extracting #0: cost 1 inf + 0 69.583 * * [simplify]: Extracting #1: cost 8 inf + 0 69.583 * * [simplify]: Extracting #2: cost 7 inf + 45 69.583 * * [simplify]: Extracting #3: cost 0 inf + 421 69.583 * [simplify]: Simplified to (* (* PI 2) n) 69.583 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 69.583 * * * * [progress]: [ 42 / 307 ] simplifiying candidate # 69.583 * [simplify]: Simplifying (* n (* 2 PI)) 69.584 * * [simplify]: iters left: 4 (5 enodes) 69.585 * * [simplify]: iters left: 3 (19 enodes) 69.588 * * [simplify]: iters left: 2 (27 enodes) 69.593 * * [simplify]: iters left: 1 (32 enodes) 69.597 * * [simplify]: Extracting #0: cost 1 inf + 0 69.597 * * [simplify]: Extracting #1: cost 8 inf + 0 69.597 * * [simplify]: Extracting #2: cost 7 inf + 45 69.597 * * [simplify]: Extracting #3: cost 0 inf + 421 69.597 * [simplify]: Simplified to (* (* PI 2) n) 69.597 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 69.598 * * * * [progress]: [ 43 / 307 ] simplifiying candidate # 69.598 * * * * [progress]: [ 44 / 307 ] simplifiying candidate # 69.598 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 69.598 * * [simplify]: iters left: 5 (8 enodes) 69.600 * * [simplify]: iters left: 4 (28 enodes) 69.605 * * [simplify]: iters left: 3 (36 enodes) 69.610 * * [simplify]: iters left: 2 (42 enodes) 69.616 * * [simplify]: Extracting #0: cost 1 inf + 0 69.616 * * [simplify]: Extracting #1: cost 8 inf + 0 69.616 * * [simplify]: Extracting #2: cost 17 inf + 0 69.616 * * [simplify]: Extracting #3: cost 12 inf + 145 69.616 * * [simplify]: Extracting #4: cost 5 inf + 1197 69.617 * * [simplify]: Extracting #5: cost 1 inf + 1925 69.617 * * [simplify]: Extracting #6: cost 0 inf + 2107 69.617 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 69.617 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2))))) 69.617 * * * * [progress]: [ 45 / 307 ] simplifiying candidate # 69.618 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 69.618 * * [simplify]: iters left: 5 (7 enodes) 69.620 * * [simplify]: iters left: 4 (26 enodes) 69.624 * * [simplify]: iters left: 3 (35 enodes) 69.629 * * [simplify]: iters left: 2 (44 enodes) 69.640 * * [simplify]: Extracting #0: cost 1 inf + 0 69.640 * * [simplify]: Extracting #1: cost 8 inf + 0 69.640 * * [simplify]: Extracting #2: cost 18 inf + 0 69.640 * * [simplify]: Extracting #3: cost 15 inf + 74 69.640 * * [simplify]: Extracting #4: cost 8 inf + 554 69.641 * * [simplify]: Extracting #5: cost 0 inf + 1911 69.642 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 69.642 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2))))) 69.642 * * * * [progress]: [ 46 / 307 ] simplifiying candidate # 69.642 * * * * [progress]: [ 47 / 307 ] simplifiying candidate # 69.642 * * * * [progress]: [ 48 / 307 ] simplifiying candidate # 69.642 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 69.642 * * [simplify]: iters left: 6 (11 enodes) 69.650 * * [simplify]: iters left: 5 (48 enodes) 69.665 * * [simplify]: iters left: 4 (121 enodes) 69.705 * * [simplify]: iters left: 3 (348 enodes) 69.924 * * [simplify]: Extracting #0: cost 1 inf + 0 69.924 * * [simplify]: Extracting #1: cost 67 inf + 0 69.928 * * [simplify]: Extracting #2: cost 165 inf + 786 69.930 * * [simplify]: Extracting #3: cost 85 inf + 10177 69.939 * * [simplify]: Extracting #4: cost 9 inf + 26399 69.950 * * [simplify]: Extracting #5: cost 0 inf + 28546 69.957 * * [simplify]: Extracting #6: cost 0 inf + 28506 69.963 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 69.963 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2))))) 69.963 * * * * [progress]: [ 49 / 307 ] simplifiying candidate # 69.964 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 69.964 * * [simplify]: iters left: 6 (9 enodes) 69.967 * * [simplify]: iters left: 5 (45 enodes) 69.975 * * [simplify]: iters left: 4 (117 enodes) 70.040 * * [simplify]: iters left: 3 (374 enodes) 70.358 * * [simplify]: Extracting #0: cost 1 inf + 0 70.359 * * [simplify]: Extracting #1: cost 77 inf + 0 70.361 * * [simplify]: Extracting #2: cost 184 inf + 984 70.368 * * [simplify]: Extracting #3: cost 106 inf + 11690 70.386 * * [simplify]: Extracting #4: cost 6 inf + 30376 70.397 * * [simplify]: Extracting #5: cost 0 inf + 31644 70.406 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 70.406 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2))))) 70.406 * * * * [progress]: [ 50 / 307 ] simplifiying candidate # 70.407 * * * * [progress]: [ 51 / 307 ] simplifiying candidate # 70.407 * * * * [progress]: [ 52 / 307 ] simplifiying candidate # 70.407 * * * * [progress]: [ 53 / 307 ] simplifiying candidate # 70.407 * * * * [progress]: [ 54 / 307 ] simplifiying candidate # 70.407 * * * * [progress]: [ 55 / 307 ] simplifiying candidate # 70.407 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 70.407 * * [simplify]: iters left: 3 (3 enodes) 70.408 * * [simplify]: iters left: 2 (9 enodes) 70.409 * * [simplify]: Extracting #0: cost 1 inf + 0 70.409 * * [simplify]: Extracting #1: cost 3 inf + 0 70.409 * * [simplify]: Extracting #2: cost 5 inf + 0 70.409 * * [simplify]: Extracting #3: cost 4 inf + 1 70.409 * * [simplify]: Extracting #4: cost 0 inf + 405 70.409 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 70.409 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2))))) 70.409 * * * * [progress]: [ 56 / 307 ] simplifiying candidate # 70.409 * [simplify]: Simplifying (sqrt n) 70.409 * * [simplify]: iters left: 1 (2 enodes) 70.410 * * [simplify]: Extracting #0: cost 1 inf + 0 70.410 * * [simplify]: Extracting #1: cost 3 inf + 0 70.410 * * [simplify]: Extracting #2: cost 2 inf + 1 70.410 * * [simplify]: Extracting #3: cost 0 inf + 83 70.410 * [simplify]: Simplified to (sqrt n) 70.410 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2))))) 70.410 * * * * [progress]: [ 57 / 307 ] simplifiying candidate # 70.410 * * * * [progress]: [ 58 / 307 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)))))> 70.410 * * * * [progress]: [ 59 / 307 ] simplifiying candidate # 70.410 * * * * [progress]: [ 60 / 307 ] simplifiying candidate # 70.410 * * * * [progress]: [ 61 / 307 ] simplifiying candidate # 70.410 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) 70.410 * * [simplify]: iters left: 6 (16 enodes) 70.415 * * [simplify]: iters left: 5 (65 enodes) 70.433 * * [simplify]: iters left: 4 (119 enodes) 70.479 * * [simplify]: iters left: 3 (355 enodes) 70.603 * * [simplify]: Extracting #0: cost 1 inf + 0 70.603 * * [simplify]: Extracting #1: cost 29 inf + 0 70.603 * * [simplify]: Extracting #2: cost 124 inf + 0 70.605 * * [simplify]: Extracting #3: cost 216 inf + 73 70.607 * * [simplify]: Extracting #4: cost 237 inf + 2210 70.614 * * [simplify]: Extracting #5: cost 131 inf + 26826 70.634 * * [simplify]: Extracting #6: cost 25 inf + 60609 70.664 * * [simplify]: Extracting #7: cost 0 inf + 67495 70.688 * * [simplify]: Extracting #8: cost 0 inf + 67455 70.711 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))) 70.711 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))))) 70.712 * * * * [progress]: [ 62 / 307 ] simplifiying candidate # 70.712 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) 70.712 * * [simplify]: iters left: 6 (15 enodes) 70.716 * * [simplify]: iters left: 5 (63 enodes) 70.726 * * [simplify]: iters left: 4 (112 enodes) 70.754 * * [simplify]: iters left: 3 (287 enodes) 70.852 * * [simplify]: Extracting #0: cost 1 inf + 0 70.852 * * [simplify]: Extracting #1: cost 25 inf + 0 70.853 * * [simplify]: Extracting #2: cost 104 inf + 0 70.854 * * [simplify]: Extracting #3: cost 192 inf + 2 70.857 * * [simplify]: Extracting #4: cost 180 inf + 9535 70.864 * * [simplify]: Extracting #5: cost 35 inf + 42841 70.874 * * [simplify]: Extracting #6: cost 0 inf + 53062 70.885 * * [simplify]: Extracting #7: cost 0 inf + 52902 70.903 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 70.903 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))) 70.903 * * * * [progress]: [ 63 / 307 ] simplifiying candidate # 70.904 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 70.904 * * [simplify]: iters left: 6 (14 enodes) 70.908 * * [simplify]: iters left: 5 (62 enodes) 70.918 * * [simplify]: iters left: 4 (119 enodes) 70.948 * * [simplify]: iters left: 3 (269 enodes) 71.053 * * [simplify]: Extracting #0: cost 1 inf + 0 71.054 * * [simplify]: Extracting #1: cost 15 inf + 0 71.054 * * [simplify]: Extracting #2: cost 85 inf + 0 71.055 * * [simplify]: Extracting #3: cost 176 inf + 2 71.056 * * [simplify]: Extracting #4: cost 205 inf + 691 71.061 * * [simplify]: Extracting #5: cost 135 inf + 11856 71.073 * * [simplify]: Extracting #6: cost 26 inf + 35442 71.082 * * [simplify]: Extracting #7: cost 0 inf + 42333 71.091 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2)))) 71.091 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))))) 71.091 * * * * [progress]: [ 64 / 307 ] simplifiying candidate # 71.091 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 71.091 * * [simplify]: iters left: 6 (14 enodes) 71.095 * * [simplify]: iters left: 5 (62 enodes) 71.108 * * [simplify]: iters left: 4 (119 enodes) 71.130 * * [simplify]: iters left: 3 (269 enodes) 71.214 * * [simplify]: Extracting #0: cost 1 inf + 0 71.214 * * [simplify]: Extracting #1: cost 15 inf + 0 71.214 * * [simplify]: Extracting #2: cost 85 inf + 0 71.218 * * [simplify]: Extracting #3: cost 176 inf + 2 71.218 * * [simplify]: Extracting #4: cost 205 inf + 691 71.220 * * [simplify]: Extracting #5: cost 135 inf + 11856 71.227 * * [simplify]: Extracting #6: cost 26 inf + 35442 71.244 * * [simplify]: Extracting #7: cost 0 inf + 42333 71.262 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2)))) 71.262 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))))) 71.262 * * * * [progress]: [ 65 / 307 ] simplifiying candidate # 71.262 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 71.262 * * [simplify]: iters left: 6 (14 enodes) 71.270 * * [simplify]: iters left: 5 (61 enodes) 71.288 * * [simplify]: iters left: 4 (111 enodes) 71.307 * * [simplify]: iters left: 3 (249 enodes) 71.389 * * [simplify]: Extracting #0: cost 1 inf + 0 71.389 * * [simplify]: Extracting #1: cost 19 inf + 0 71.390 * * [simplify]: Extracting #2: cost 118 inf + 0 71.391 * * [simplify]: Extracting #3: cost 202 inf + 2 71.393 * * [simplify]: Extracting #4: cost 206 inf + 6851 71.405 * * [simplify]: Extracting #5: cost 48 inf + 39657 71.418 * * [simplify]: Extracting #6: cost 6 inf + 49892 71.430 * * [simplify]: Extracting #7: cost 0 inf + 53118 71.440 * [simplify]: Simplified to (- (log (sqrt k)) (/ (* (log (* n (* 2 PI))) (- 1 k)) 2)) 71.440 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (/ (* (log (* n (* 2 PI))) (- 1 k)) 2))))) 71.440 * * * * [progress]: [ 66 / 307 ] simplifiying candidate # 71.440 * * * * [progress]: [ 67 / 307 ] simplifiying candidate # 71.440 * * * * [progress]: [ 68 / 307 ] simplifiying candidate # 71.440 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 71.440 * * [simplify]: iters left: 6 (16 enodes) 71.445 * * [simplify]: iters left: 5 (72 enodes) 71.458 * * [simplify]: iters left: 4 (163 enodes) 71.543 * * [simplify]: iters left: 3 (439 enodes) 71.752 * * [simplify]: Extracting #0: cost 1 inf + 0 71.752 * * [simplify]: Extracting #1: cost 116 inf + 0 71.754 * * [simplify]: Extracting #2: cost 336 inf + 123 71.758 * * [simplify]: Extracting #3: cost 402 inf + 248 71.762 * * [simplify]: Extracting #4: cost 376 inf + 4412 71.778 * * [simplify]: Extracting #5: cost 231 inf + 81095 71.812 * * [simplify]: Extracting #6: cost 14 inf + 243570 71.860 * * [simplify]: Extracting #7: cost 0 inf + 250240 71.937 * * [simplify]: Extracting #8: cost 0 inf + 250000 72.011 * [simplify]: Simplified to (* (/ (/ k (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 72.011 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (/ k (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 72.011 * * * * [progress]: [ 69 / 307 ] simplifiying candidate # 72.011 * * * * [progress]: [ 70 / 307 ] simplifiying candidate # 72.011 * * * * [progress]: [ 71 / 307 ] simplifiying candidate # 72.011 * * * * [progress]: [ 72 / 307 ] simplifiying candidate # 72.011 * * * * [progress]: [ 73 / 307 ] simplifiying candidate # 72.011 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 72.011 * * [simplify]: iters left: 6 (11 enodes) 72.015 * * [simplify]: iters left: 5 (46 enodes) 72.023 * * [simplify]: iters left: 4 (76 enodes) 72.036 * * [simplify]: iters left: 3 (136 enodes) 72.092 * * [simplify]: iters left: 2 (291 enodes) 72.225 * * [simplify]: Extracting #0: cost 1 inf + 0 72.225 * * [simplify]: Extracting #1: cost 43 inf + 0 72.226 * * [simplify]: Extracting #2: cost 140 inf + 0 72.227 * * [simplify]: Extracting #3: cost 198 inf + 3 72.229 * * [simplify]: Extracting #4: cost 180 inf + 2985 72.233 * * [simplify]: Extracting #5: cost 137 inf + 11543 72.246 * * [simplify]: Extracting #6: cost 53 inf + 60802 72.261 * * [simplify]: Extracting #7: cost 3 inf + 100516 72.274 * * [simplify]: Extracting #8: cost 0 inf + 101980 72.288 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 72.288 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 72.288 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 72.288 * * [simplify]: iters left: 6 (11 enodes) 72.295 * * [simplify]: iters left: 5 (45 enodes) 72.306 * * [simplify]: iters left: 4 (68 enodes) 72.317 * * [simplify]: iters left: 3 (108 enodes) 72.340 * * [simplify]: iters left: 2 (205 enodes) 72.386 * * [simplify]: iters left: 1 (384 enodes) 72.503 * * [simplify]: Extracting #0: cost 1 inf + 0 72.503 * * [simplify]: Extracting #1: cost 6 inf + 0 72.503 * * [simplify]: Extracting #2: cost 36 inf + 0 72.504 * * [simplify]: Extracting #3: cost 122 inf + 1 72.504 * * [simplify]: Extracting #4: cost 155 inf + 832 72.508 * * [simplify]: Extracting #5: cost 86 inf + 26046 72.516 * * [simplify]: Extracting #6: cost 12 inf + 63304 72.527 * * [simplify]: Extracting #7: cost 0 inf + 68976 72.543 * * [simplify]: Extracting #8: cost 0 inf + 68724 72.557 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 72.557 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 72.557 * * * * [progress]: [ 74 / 307 ] simplifiying candidate # 72.557 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 72.557 * * [simplify]: iters left: 6 (16 enodes) 72.562 * * [simplify]: iters left: 5 (69 enodes) 72.574 * * [simplify]: iters left: 4 (113 enodes) 72.593 * * [simplify]: iters left: 3 (161 enodes) 72.620 * * [simplify]: iters left: 2 (255 enodes) 72.673 * * [simplify]: iters left: 1 (422 enodes) 72.814 * * [simplify]: Extracting #0: cost 1 inf + 0 72.814 * * [simplify]: Extracting #1: cost 11 inf + 0 72.814 * * [simplify]: Extracting #2: cost 22 inf + 0 72.814 * * [simplify]: Extracting #3: cost 47 inf + 0 72.814 * * [simplify]: Extracting #4: cost 118 inf + 43 72.815 * * [simplify]: Extracting #5: cost 156 inf + 1327 72.820 * * [simplify]: Extracting #6: cost 62 inf + 33445 72.832 * * [simplify]: Extracting #7: cost 5 inf + 58955 72.859 * * [simplify]: Extracting #8: cost 0 inf + 59292 72.886 * * [simplify]: Extracting #9: cost 0 inf + 59174 72.912 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 72.912 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 72.912 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 72.913 * * [simplify]: iters left: 6 (14 enodes) 72.920 * * [simplify]: iters left: 5 (57 enodes) 72.939 * * [simplify]: iters left: 4 (90 enodes) 72.967 * * [simplify]: iters left: 3 (126 enodes) 72.988 * * [simplify]: iters left: 2 (194 enodes) 73.040 * * [simplify]: iters left: 1 (356 enodes) 73.154 * * [simplify]: Extracting #0: cost 1 inf + 0 73.154 * * [simplify]: Extracting #1: cost 4 inf + 0 73.154 * * [simplify]: Extracting #2: cost 8 inf + 0 73.154 * * [simplify]: Extracting #3: cost 34 inf + 0 73.155 * * [simplify]: Extracting #4: cost 118 inf + 43 73.155 * * [simplify]: Extracting #5: cost 153 inf + 422 73.157 * * [simplify]: Extracting #6: cost 109 inf + 6175 73.160 * * [simplify]: Extracting #7: cost 63 inf + 17898 73.167 * * [simplify]: Extracting #8: cost 19 inf + 51306 73.176 * * [simplify]: Extracting #9: cost 0 inf + 68370 73.194 * * [simplify]: Extracting #10: cost 0 inf + 67780 73.218 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 73.218 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 73.218 * * * * [progress]: [ 75 / 307 ] simplifiying candidate # 73.219 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 73.219 * * [simplify]: iters left: 6 (15 enodes) 73.227 * * [simplify]: iters left: 5 (62 enodes) 73.247 * * [simplify]: iters left: 4 (96 enodes) 73.277 * * [simplify]: iters left: 3 (140 enodes) 73.325 * * [simplify]: iters left: 2 (228 enodes) 73.378 * * [simplify]: iters left: 1 (383 enodes) 73.560 * * [simplify]: Extracting #0: cost 1 inf + 0 73.560 * * [simplify]: Extracting #1: cost 7 inf + 0 73.560 * * [simplify]: Extracting #2: cost 15 inf + 0 73.560 * * [simplify]: Extracting #3: cost 41 inf + 0 73.561 * * [simplify]: Extracting #4: cost 114 inf + 84 73.562 * * [simplify]: Extracting #5: cost 154 inf + 1041 73.565 * * [simplify]: Extracting #6: cost 79 inf + 15099 73.570 * * [simplify]: Extracting #7: cost 35 inf + 32031 73.580 * * [simplify]: Extracting #8: cost 0 inf + 60239 73.592 * * [simplify]: Extracting #9: cost 0 inf + 59461 73.601 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (cbrt (sqrt k))) 73.601 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 73.602 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 73.602 * * [simplify]: iters left: 6 (14 enodes) 73.606 * * [simplify]: iters left: 5 (57 enodes) 73.620 * * [simplify]: iters left: 4 (91 enodes) 73.648 * * [simplify]: iters left: 3 (127 enodes) 73.689 * * [simplify]: iters left: 2 (195 enodes) 73.740 * * [simplify]: iters left: 1 (361 enodes) 73.912 * * [simplify]: Extracting #0: cost 1 inf + 0 73.912 * * [simplify]: Extracting #1: cost 4 inf + 0 73.913 * * [simplify]: Extracting #2: cost 9 inf + 0 73.913 * * [simplify]: Extracting #3: cost 37 inf + 0 73.913 * * [simplify]: Extracting #4: cost 126 inf + 43 73.919 * * [simplify]: Extracting #5: cost 158 inf + 547 73.922 * * [simplify]: Extracting #6: cost 117 inf + 5978 73.934 * * [simplify]: Extracting #7: cost 33 inf + 39225 73.949 * * [simplify]: Extracting #8: cost 0 inf + 69096 73.960 * * [simplify]: Extracting #9: cost 0 inf + 67302 73.971 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 73.971 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 73.971 * * * * [progress]: [ 76 / 307 ] simplifiying candidate # 73.972 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 73.972 * * [simplify]: iters left: 6 (6 enodes) 73.974 * * [simplify]: iters left: 5 (20 enodes) 73.978 * * [simplify]: iters left: 4 (30 enodes) 73.982 * * [simplify]: iters left: 3 (31 enodes) 73.987 * * [simplify]: Extracting #0: cost 1 inf + 0 73.987 * * [simplify]: Extracting #1: cost 5 inf + 0 73.987 * * [simplify]: Extracting #2: cost 7 inf + 1 73.987 * * [simplify]: Extracting #3: cost 9 inf + 1 73.987 * * [simplify]: Extracting #4: cost 8 inf + 2 73.987 * * [simplify]: Extracting #5: cost 0 inf + 972 73.987 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 73.987 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 73.987 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 73.987 * * [simplify]: iters left: 6 (13 enodes) 73.991 * * [simplify]: iters left: 5 (54 enodes) 74.001 * * [simplify]: iters left: 4 (85 enodes) 74.032 * * [simplify]: iters left: 3 (127 enodes) 74.074 * * [simplify]: iters left: 2 (219 enodes) 74.149 * * [simplify]: iters left: 1 (389 enodes) 74.277 * * [simplify]: Extracting #0: cost 1 inf + 0 74.277 * * [simplify]: Extracting #1: cost 6 inf + 0 74.277 * * [simplify]: Extracting #2: cost 40 inf + 0 74.278 * * [simplify]: Extracting #3: cost 126 inf + 1 74.278 * * [simplify]: Extracting #4: cost 162 inf + 709 74.280 * * [simplify]: Extracting #5: cost 126 inf + 3654 74.284 * * [simplify]: Extracting #6: cost 59 inf + 29904 74.295 * * [simplify]: Extracting #7: cost 4 inf + 69404 74.314 * * [simplify]: Extracting #8: cost 0 inf + 71212 74.325 * * [simplify]: Extracting #9: cost 0 inf + 71211 74.343 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 74.343 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 74.344 * * * * [progress]: [ 77 / 307 ] simplifiying candidate # 74.344 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 74.344 * * [simplify]: iters left: 6 (15 enodes) 74.353 * * [simplify]: iters left: 5 (65 enodes) 74.374 * * [simplify]: iters left: 4 (107 enodes) 74.392 * * [simplify]: iters left: 3 (179 enodes) 74.433 * * [simplify]: iters left: 2 (347 enodes) 74.561 * * [simplify]: Extracting #0: cost 1 inf + 0 74.561 * * [simplify]: Extracting #1: cost 45 inf + 0 74.562 * * [simplify]: Extracting #2: cost 139 inf + 0 74.563 * * [simplify]: Extracting #3: cost 207 inf + 2 74.566 * * [simplify]: Extracting #4: cost 181 inf + 6532 74.575 * * [simplify]: Extracting #5: cost 109 inf + 33173 74.603 * * [simplify]: Extracting #6: cost 9 inf + 107364 74.636 * * [simplify]: Extracting #7: cost 0 inf + 114103 74.668 * * [simplify]: Extracting #8: cost 0 inf + 113771 74.702 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) 74.702 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 74.703 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 74.703 * * [simplify]: iters left: 6 (14 enodes) 74.714 * * [simplify]: iters left: 5 (60 enodes) 74.734 * * [simplify]: iters left: 4 (98 enodes) 74.766 * * [simplify]: iters left: 3 (154 enodes) 74.819 * * [simplify]: iters left: 2 (277 enodes) 74.892 * * [simplify]: iters left: 1 (498 enodes) 75.120 * * [simplify]: Extracting #0: cost 1 inf + 0 75.121 * * [simplify]: Extracting #1: cost 6 inf + 0 75.121 * * [simplify]: Extracting #2: cost 35 inf + 0 75.121 * * [simplify]: Extracting #3: cost 126 inf + 1 75.123 * * [simplify]: Extracting #4: cost 200 inf + 342 75.127 * * [simplify]: Extracting #5: cost 139 inf + 10990 75.138 * * [simplify]: Extracting #6: cost 55 inf + 29402 75.164 * * [simplify]: Extracting #7: cost 11 inf + 64540 75.187 * * [simplify]: Extracting #8: cost 0 inf + 72644 75.202 * * [simplify]: Extracting #9: cost 0 inf + 72524 75.213 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 75.213 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 75.214 * * * * [progress]: [ 78 / 307 ] simplifiying candidate # 75.214 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2))) 75.214 * * [simplify]: iters left: 6 (11 enodes) 75.217 * * [simplify]: iters left: 5 (45 enodes) 75.227 * * [simplify]: iters left: 4 (72 enodes) 75.250 * * [simplify]: iters left: 3 (111 enodes) 75.289 * * [simplify]: iters left: 2 (190 enodes) 75.348 * * [simplify]: iters left: 1 (359 enodes) 75.472 * * [simplify]: Extracting #0: cost 1 inf + 0 75.472 * * [simplify]: Extracting #1: cost 6 inf + 0 75.472 * * [simplify]: Extracting #2: cost 39 inf + 0 75.472 * * [simplify]: Extracting #3: cost 121 inf + 2 75.473 * * [simplify]: Extracting #4: cost 147 inf + 660 75.475 * * [simplify]: Extracting #5: cost 107 inf + 6336 75.481 * * [simplify]: Extracting #6: cost 41 inf + 34752 75.499 * * [simplify]: Extracting #7: cost 0 inf + 65600 75.519 * * [simplify]: Extracting #8: cost 0 inf + 63832 75.539 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) 75.539 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 75.539 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 75.540 * * [simplify]: iters left: 6 (11 enodes) 75.546 * * [simplify]: iters left: 5 (45 enodes) 75.555 * * [simplify]: iters left: 4 (68 enodes) 75.566 * * [simplify]: iters left: 3 (108 enodes) 75.598 * * [simplify]: iters left: 2 (205 enodes) 75.646 * * [simplify]: iters left: 1 (384 enodes) 75.756 * * [simplify]: Extracting #0: cost 1 inf + 0 75.756 * * [simplify]: Extracting #1: cost 6 inf + 0 75.756 * * [simplify]: Extracting #2: cost 36 inf + 0 75.757 * * [simplify]: Extracting #3: cost 122 inf + 1 75.758 * * [simplify]: Extracting #4: cost 155 inf + 912 75.765 * * [simplify]: Extracting #5: cost 86 inf + 26126 75.781 * * [simplify]: Extracting #6: cost 12 inf + 63384 75.796 * * [simplify]: Extracting #7: cost 0 inf + 69056 75.806 * * [simplify]: Extracting #8: cost 0 inf + 68804 75.817 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 75.817 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 75.817 * * * * [progress]: [ 79 / 307 ] simplifiying candidate # 75.817 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 75.817 * * [simplify]: iters left: 6 (16 enodes) 75.821 * * [simplify]: iters left: 5 (66 enodes) 75.832 * * [simplify]: iters left: 4 (97 enodes) 75.850 * * [simplify]: iters left: 3 (138 enodes) 75.876 * * [simplify]: iters left: 2 (229 enodes) 75.927 * * [simplify]: iters left: 1 (393 enodes) 76.059 * * [simplify]: Extracting #0: cost 1 inf + 0 76.059 * * [simplify]: Extracting #1: cost 6 inf + 0 76.059 * * [simplify]: Extracting #2: cost 13 inf + 0 76.059 * * [simplify]: Extracting #3: cost 37 inf + 0 76.059 * * [simplify]: Extracting #4: cost 110 inf + 83 76.060 * * [simplify]: Extracting #5: cost 153 inf + 955 76.062 * * [simplify]: Extracting #6: cost 101 inf + 7678 76.065 * * [simplify]: Extracting #7: cost 50 inf + 22283 76.073 * * [simplify]: Extracting #8: cost 6 inf + 56248 76.082 * * [simplify]: Extracting #9: cost 0 inf + 61782 76.094 * * [simplify]: Extracting #10: cost 0 inf + 61651 76.104 * [simplify]: Simplified to (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 76.104 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 76.104 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 76.104 * * [simplify]: iters left: 6 (14 enodes) 76.108 * * [simplify]: iters left: 5 (57 enodes) 76.126 * * [simplify]: iters left: 4 (90 enodes) 76.153 * * [simplify]: iters left: 3 (126 enodes) 76.185 * * [simplify]: iters left: 2 (194 enodes) 76.247 * * [simplify]: iters left: 1 (356 enodes) 76.394 * * [simplify]: Extracting #0: cost 1 inf + 0 76.394 * * [simplify]: Extracting #1: cost 4 inf + 0 76.394 * * [simplify]: Extracting #2: cost 8 inf + 0 76.394 * * [simplify]: Extracting #3: cost 34 inf + 0 76.395 * * [simplify]: Extracting #4: cost 118 inf + 83 76.395 * * [simplify]: Extracting #5: cost 153 inf + 502 76.397 * * [simplify]: Extracting #6: cost 109 inf + 6255 76.400 * * [simplify]: Extracting #7: cost 63 inf + 17978 76.406 * * [simplify]: Extracting #8: cost 19 inf + 51386 76.424 * * [simplify]: Extracting #9: cost 0 inf + 68450 76.434 * * [simplify]: Extracting #10: cost 0 inf + 67860 76.444 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 76.444 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 76.444 * * * * [progress]: [ 80 / 307 ] simplifiying candidate # 76.444 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 76.445 * * [simplify]: iters left: 6 (15 enodes) 76.449 * * [simplify]: iters left: 5 (61 enodes) 76.461 * * [simplify]: iters left: 4 (91 enodes) 76.487 * * [simplify]: iters left: 3 (129 enodes) 76.512 * * [simplify]: iters left: 2 (215 enodes) 76.584 * * [simplify]: iters left: 1 (373 enodes) 76.758 * * [simplify]: Extracting #0: cost 1 inf + 0 76.758 * * [simplify]: Extracting #1: cost 4 inf + 0 76.758 * * [simplify]: Extracting #2: cost 10 inf + 0 76.758 * * [simplify]: Extracting #3: cost 37 inf + 0 76.761 * * [simplify]: Extracting #4: cost 113 inf + 83 76.762 * * [simplify]: Extracting #5: cost 130 inf + 1202 76.764 * * [simplify]: Extracting #6: cost 89 inf + 12118 76.770 * * [simplify]: Extracting #7: cost 16 inf + 46371 76.782 * * [simplify]: Extracting #8: cost 0 inf + 57720 76.801 * * [simplify]: Extracting #9: cost 0 inf + 57443 76.820 * [simplify]: Simplified to (/ (fabs (cbrt k)) (fabs (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))) 76.820 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (fabs (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 76.820 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 76.821 * * [simplify]: iters left: 6 (14 enodes) 76.830 * * [simplify]: iters left: 5 (57 enodes) 76.848 * * [simplify]: iters left: 4 (91 enodes) 76.862 * * [simplify]: iters left: 3 (127 enodes) 76.890 * * [simplify]: iters left: 2 (195 enodes) 76.927 * * [simplify]: iters left: 1 (361 enodes) 77.460 * * [simplify]: Extracting #0: cost 1 inf + 0 77.461 * * [simplify]: Extracting #1: cost 4 inf + 0 77.461 * * [simplify]: Extracting #2: cost 9 inf + 0 77.461 * * [simplify]: Extracting #3: cost 37 inf + 0 77.461 * * [simplify]: Extracting #4: cost 126 inf + 83 77.463 * * [simplify]: Extracting #5: cost 158 inf + 627 77.466 * * [simplify]: Extracting #6: cost 117 inf + 6058 77.477 * * [simplify]: Extracting #7: cost 33 inf + 39305 77.500 * * [simplify]: Extracting #8: cost 0 inf + 69176 77.522 * * [simplify]: Extracting #9: cost 0 inf + 67382 77.544 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 77.544 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 77.544 * * * * [progress]: [ 81 / 307 ] simplifiying candidate # 77.544 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) 1) 77.544 * * [simplify]: iters left: 6 (6 enodes) 77.548 * * [simplify]: iters left: 5 (19 enodes) 77.553 * * [simplify]: iters left: 4 (23 enodes) 77.559 * * [simplify]: Extracting #0: cost 1 inf + 0 77.560 * * [simplify]: Extracting #1: cost 5 inf + 0 77.560 * * [simplify]: Extracting #2: cost 7 inf + 1 77.560 * * [simplify]: Extracting #3: cost 6 inf + 2 77.560 * * [simplify]: Extracting #4: cost 0 inf + 648 77.560 * [simplify]: Simplified to (fabs (cbrt k)) 77.560 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 77.561 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 77.561 * * [simplify]: iters left: 6 (13 enodes) 77.568 * * [simplify]: iters left: 5 (54 enodes) 77.588 * * [simplify]: iters left: 4 (85 enodes) 77.614 * * [simplify]: iters left: 3 (127 enodes) 77.658 * * [simplify]: iters left: 2 (219 enodes) 77.740 * * [simplify]: iters left: 1 (389 enodes) 77.875 * * [simplify]: Extracting #0: cost 1 inf + 0 77.875 * * [simplify]: Extracting #1: cost 6 inf + 0 77.875 * * [simplify]: Extracting #2: cost 40 inf + 0 77.876 * * [simplify]: Extracting #3: cost 126 inf + 1 77.876 * * [simplify]: Extracting #4: cost 162 inf + 789 77.878 * * [simplify]: Extracting #5: cost 126 inf + 3734 77.882 * * [simplify]: Extracting #6: cost 59 inf + 29984 77.900 * * [simplify]: Extracting #7: cost 4 inf + 69484 77.926 * * [simplify]: Extracting #8: cost 0 inf + 71292 77.949 * * [simplify]: Extracting #9: cost 0 inf + 71291 77.965 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 77.965 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 77.965 * * * * [progress]: [ 82 / 307 ] simplifiying candidate # 77.966 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 77.966 * * [simplify]: iters left: 6 (15 enodes) 77.970 * * [simplify]: iters left: 5 (64 enodes) 77.981 * * [simplify]: iters left: 4 (102 enodes) 77.999 * * [simplify]: iters left: 3 (158 enodes) 78.041 * * [simplify]: iters left: 2 (277 enodes) 78.122 * * [simplify]: Extracting #0: cost 1 inf + 0 78.122 * * [simplify]: Extracting #1: cost 6 inf + 0 78.122 * * [simplify]: Extracting #2: cost 27 inf + 0 78.123 * * [simplify]: Extracting #3: cost 97 inf + 1 78.123 * * [simplify]: Extracting #4: cost 119 inf + 625 78.124 * * [simplify]: Extracting #5: cost 74 inf + 5678 78.127 * * [simplify]: Extracting #6: cost 29 inf + 16424 78.131 * * [simplify]: Extracting #7: cost 2 inf + 34563 78.139 * * [simplify]: Extracting #8: cost 0 inf + 35972 78.145 * * [simplify]: Extracting #9: cost 0 inf + 35931 78.156 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (* (* 2 PI) n) (* 1/4 (- 1 k)))) 78.156 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (* (* 2 PI) n) (* 1/4 (- 1 k)))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 78.156 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 78.156 * * [simplify]: iters left: 6 (14 enodes) 78.165 * * [simplify]: iters left: 5 (60 enodes) 78.177 * * [simplify]: iters left: 4 (98 enodes) 78.193 * * [simplify]: iters left: 3 (154 enodes) 78.233 * * [simplify]: iters left: 2 (277 enodes) 78.305 * * [simplify]: iters left: 1 (498 enodes) 78.580 * * [simplify]: Extracting #0: cost 1 inf + 0 78.580 * * [simplify]: Extracting #1: cost 6 inf + 0 78.580 * * [simplify]: Extracting #2: cost 35 inf + 0 78.581 * * [simplify]: Extracting #3: cost 126 inf + 1 78.582 * * [simplify]: Extracting #4: cost 200 inf + 382 78.587 * * [simplify]: Extracting #5: cost 139 inf + 11070 78.599 * * [simplify]: Extracting #6: cost 55 inf + 29482 78.618 * * [simplify]: Extracting #7: cost 11 inf + 64620 78.630 * * [simplify]: Extracting #8: cost 0 inf + 72724 78.642 * * [simplify]: Extracting #9: cost 0 inf + 72604 78.658 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 78.658 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 78.658 * * * * [progress]: [ 83 / 307 ] simplifiying candidate # 78.659 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 78.659 * * [simplify]: iters left: 6 (10 enodes) 78.664 * * [simplify]: iters left: 5 (41 enodes) 78.678 * * [simplify]: iters left: 4 (64 enodes) 78.692 * * [simplify]: iters left: 3 (104 enodes) 78.722 * * [simplify]: iters left: 2 (198 enodes) 78.795 * * [simplify]: iters left: 1 (377 enodes) 78.936 * * [simplify]: Extracting #0: cost 1 inf + 0 78.936 * * [simplify]: Extracting #1: cost 6 inf + 0 78.936 * * [simplify]: Extracting #2: cost 39 inf + 0 78.937 * * [simplify]: Extracting #3: cost 126 inf + 2 78.937 * * [simplify]: Extracting #4: cost 186 inf + 296 78.939 * * [simplify]: Extracting #5: cost 156 inf + 5614 78.943 * * [simplify]: Extracting #6: cost 69 inf + 27398 78.952 * * [simplify]: Extracting #7: cost 11 inf + 61853 78.970 * * [simplify]: Extracting #8: cost 0 inf + 68047 78.987 * * [simplify]: Extracting #9: cost 0 inf + 67322 78.996 * * [simplify]: Extracting #10: cost 0 inf + 67070 79.008 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 79.008 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 79.009 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 79.009 * * [simplify]: iters left: 6 (11 enodes) 79.013 * * [simplify]: iters left: 5 (45 enodes) 79.027 * * [simplify]: iters left: 4 (68 enodes) 79.044 * * [simplify]: iters left: 3 (108 enodes) 79.080 * * [simplify]: iters left: 2 (205 enodes) 79.140 * * [simplify]: iters left: 1 (384 enodes) 79.314 * * [simplify]: Extracting #0: cost 1 inf + 0 79.314 * * [simplify]: Extracting #1: cost 6 inf + 0 79.314 * * [simplify]: Extracting #2: cost 36 inf + 0 79.315 * * [simplify]: Extracting #3: cost 122 inf + 1 79.315 * * [simplify]: Extracting #4: cost 155 inf + 752 79.319 * * [simplify]: Extracting #5: cost 86 inf + 25726 79.327 * * [simplify]: Extracting #6: cost 12 inf + 62584 79.337 * * [simplify]: Extracting #7: cost 0 inf + 68056 79.358 * * [simplify]: Extracting #8: cost 0 inf + 67804 79.379 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 79.379 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 79.379 * * * * [progress]: [ 84 / 307 ] simplifiying candidate # 79.379 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 79.379 * * [simplify]: iters left: 6 (15 enodes) 79.387 * * [simplify]: iters left: 5 (62 enodes) 79.407 * * [simplify]: iters left: 4 (93 enodes) 79.435 * * [simplify]: iters left: 3 (131 enodes) 79.470 * * [simplify]: iters left: 2 (217 enodes) 79.517 * * [simplify]: iters left: 1 (376 enodes) 79.666 * * [simplify]: Extracting #0: cost 1 inf + 0 79.666 * * [simplify]: Extracting #1: cost 6 inf + 0 79.667 * * [simplify]: Extracting #2: cost 12 inf + 0 79.667 * * [simplify]: Extracting #3: cost 38 inf + 0 79.667 * * [simplify]: Extracting #4: cost 106 inf + 84 79.668 * * [simplify]: Extracting #5: cost 160 inf + 340 79.670 * * [simplify]: Extracting #6: cost 143 inf + 1796 79.675 * * [simplify]: Extracting #7: cost 85 inf + 12397 79.692 * * [simplify]: Extracting #8: cost 29 inf + 38692 79.704 * * [simplify]: Extracting #9: cost 0 inf + 59883 79.714 * * [simplify]: Extracting #10: cost 0 inf + 59792 79.728 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))))) 79.728 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 79.729 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 79.729 * * [simplify]: iters left: 6 (14 enodes) 79.737 * * [simplify]: iters left: 5 (57 enodes) 79.756 * * [simplify]: iters left: 4 (90 enodes) 79.781 * * [simplify]: iters left: 3 (126 enodes) 79.803 * * [simplify]: iters left: 2 (194 enodes) 79.848 * * [simplify]: iters left: 1 (356 enodes) 79.955 * * [simplify]: Extracting #0: cost 1 inf + 0 79.955 * * [simplify]: Extracting #1: cost 4 inf + 0 79.955 * * [simplify]: Extracting #2: cost 8 inf + 0 79.956 * * [simplify]: Extracting #3: cost 34 inf + 0 79.956 * * [simplify]: Extracting #4: cost 118 inf + 43 79.956 * * [simplify]: Extracting #5: cost 153 inf + 382 79.958 * * [simplify]: Extracting #6: cost 109 inf + 6095 79.961 * * [simplify]: Extracting #7: cost 63 inf + 17738 79.967 * * [simplify]: Extracting #8: cost 19 inf + 51146 79.977 * * [simplify]: Extracting #9: cost 0 inf + 68210 79.995 * * [simplify]: Extracting #10: cost 0 inf + 67620 80.015 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 80.015 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 80.015 * * * * [progress]: [ 85 / 307 ] simplifiying candidate # 80.016 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.016 * * [simplify]: iters left: 6 (14 enodes) 80.023 * * [simplify]: iters left: 5 (57 enodes) 80.042 * * [simplify]: iters left: 4 (91 enodes) 80.069 * * [simplify]: iters left: 3 (127 enodes) 80.112 * * [simplify]: iters left: 2 (195 enodes) 80.170 * * [simplify]: iters left: 1 (361 enodes) 80.287 * * [simplify]: Extracting #0: cost 1 inf + 0 80.287 * * [simplify]: Extracting #1: cost 4 inf + 0 80.287 * * [simplify]: Extracting #2: cost 9 inf + 0 80.287 * * [simplify]: Extracting #3: cost 37 inf + 0 80.288 * * [simplify]: Extracting #4: cost 126 inf + 43 80.288 * * [simplify]: Extracting #5: cost 158 inf + 507 80.290 * * [simplify]: Extracting #6: cost 117 inf + 5898 80.296 * * [simplify]: Extracting #7: cost 33 inf + 39065 80.306 * * [simplify]: Extracting #8: cost 0 inf + 68936 80.318 * * [simplify]: Extracting #9: cost 0 inf + 67142 80.329 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 80.329 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 80.329 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.329 * * [simplify]: iters left: 6 (14 enodes) 80.337 * * [simplify]: iters left: 5 (57 enodes) 80.360 * * [simplify]: iters left: 4 (91 enodes) 80.387 * * [simplify]: iters left: 3 (127 enodes) 80.427 * * [simplify]: iters left: 2 (195 enodes) 80.486 * * [simplify]: iters left: 1 (361 enodes) 80.676 * * [simplify]: Extracting #0: cost 1 inf + 0 80.676 * * [simplify]: Extracting #1: cost 4 inf + 0 80.676 * * [simplify]: Extracting #2: cost 9 inf + 0 80.676 * * [simplify]: Extracting #3: cost 37 inf + 0 80.677 * * [simplify]: Extracting #4: cost 126 inf + 43 80.678 * * [simplify]: Extracting #5: cost 158 inf + 507 80.680 * * [simplify]: Extracting #6: cost 117 inf + 5898 80.685 * * [simplify]: Extracting #7: cost 33 inf + 39065 80.696 * * [simplify]: Extracting #8: cost 0 inf + 68936 80.721 * * [simplify]: Extracting #9: cost 0 inf + 67142 80.733 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 80.733 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 80.733 * * * * [progress]: [ 86 / 307 ] simplifiying candidate # 80.733 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 80.733 * * [simplify]: iters left: 4 (5 enodes) 80.735 * * [simplify]: iters left: 3 (15 enodes) 80.737 * * [simplify]: iters left: 2 (17 enodes) 80.740 * * [simplify]: Extracting #0: cost 1 inf + 0 80.740 * * [simplify]: Extracting #1: cost 4 inf + 0 80.740 * * [simplify]: Extracting #2: cost 5 inf + 1 80.740 * * [simplify]: Extracting #3: cost 4 inf + 2 80.740 * * [simplify]: Extracting #4: cost 1 inf + 165 80.740 * * [simplify]: Extracting #5: cost 0 inf + 246 80.740 * [simplify]: Simplified to (sqrt (sqrt k)) 80.740 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 80.740 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 80.740 * * [simplify]: iters left: 6 (13 enodes) 80.744 * * [simplify]: iters left: 5 (54 enodes) 80.753 * * [simplify]: iters left: 4 (85 enodes) 80.774 * * [simplify]: iters left: 3 (127 enodes) 80.819 * * [simplify]: iters left: 2 (219 enodes) 80.889 * * [simplify]: iters left: 1 (389 enodes) 81.027 * * [simplify]: Extracting #0: cost 1 inf + 0 81.027 * * [simplify]: Extracting #1: cost 6 inf + 0 81.027 * * [simplify]: Extracting #2: cost 40 inf + 0 81.028 * * [simplify]: Extracting #3: cost 126 inf + 1 81.033 * * [simplify]: Extracting #4: cost 162 inf + 629 81.035 * * [simplify]: Extracting #5: cost 126 inf + 3574 81.039 * * [simplify]: Extracting #6: cost 59 inf + 29624 81.050 * * [simplify]: Extracting #7: cost 4 inf + 68604 81.062 * * [simplify]: Extracting #8: cost 0 inf + 70292 81.084 * * [simplify]: Extracting #9: cost 0 inf + 70291 81.107 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 81.107 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 81.107 * * * * [progress]: [ 87 / 307 ] simplifiying candidate # 81.108 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 81.108 * * [simplify]: iters left: 6 (14 enodes) 81.116 * * [simplify]: iters left: 5 (60 enodes) 81.136 * * [simplify]: iters left: 4 (98 enodes) 81.165 * * [simplify]: iters left: 3 (154 enodes) 81.197 * * [simplify]: iters left: 2 (277 enodes) 81.254 * * [simplify]: iters left: 1 (498 enodes) 81.416 * * [simplify]: Extracting #0: cost 1 inf + 0 81.416 * * [simplify]: Extracting #1: cost 6 inf + 0 81.416 * * [simplify]: Extracting #2: cost 35 inf + 0 81.416 * * [simplify]: Extracting #3: cost 126 inf + 1 81.417 * * [simplify]: Extracting #4: cost 200 inf + 302 81.419 * * [simplify]: Extracting #5: cost 139 inf + 10830 81.425 * * [simplify]: Extracting #6: cost 55 inf + 28922 81.434 * * [simplify]: Extracting #7: cost 11 inf + 63820 81.446 * * [simplify]: Extracting #8: cost 0 inf + 71724 81.462 * * [simplify]: Extracting #9: cost 0 inf + 71604 81.473 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 81.474 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 81.474 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 81.474 * * [simplify]: iters left: 6 (14 enodes) 81.478 * * [simplify]: iters left: 5 (60 enodes) 81.488 * * [simplify]: iters left: 4 (98 enodes) 81.504 * * [simplify]: iters left: 3 (154 enodes) 81.531 * * [simplify]: iters left: 2 (277 enodes) 81.585 * * [simplify]: iters left: 1 (498 enodes) 81.763 * * [simplify]: Extracting #0: cost 1 inf + 0 81.763 * * [simplify]: Extracting #1: cost 6 inf + 0 81.763 * * [simplify]: Extracting #2: cost 35 inf + 0 81.764 * * [simplify]: Extracting #3: cost 126 inf + 1 81.764 * * [simplify]: Extracting #4: cost 200 inf + 302 81.767 * * [simplify]: Extracting #5: cost 139 inf + 10830 81.773 * * [simplify]: Extracting #6: cost 55 inf + 28922 81.782 * * [simplify]: Extracting #7: cost 11 inf + 63820 81.802 * * [simplify]: Extracting #8: cost 0 inf + 71724 81.822 * * [simplify]: Extracting #9: cost 0 inf + 71604 81.834 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 81.834 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 81.834 * * * * [progress]: [ 88 / 307 ] simplifiying candidate # 81.835 * [simplify]: Simplifying (/ (sqrt 1) (pow n (/ (- 1 k) 2))) 81.835 * * [simplify]: iters left: 6 (9 enodes) 81.838 * * [simplify]: iters left: 5 (38 enodes) 81.845 * * [simplify]: iters left: 4 (61 enodes) 81.860 * * [simplify]: iters left: 3 (101 enodes) 81.897 * * [simplify]: iters left: 2 (195 enodes) 81.956 * * [simplify]: iters left: 1 (362 enodes) 82.093 * * [simplify]: Extracting #0: cost 1 inf + 0 82.093 * * [simplify]: Extracting #1: cost 6 inf + 0 82.093 * * [simplify]: Extracting #2: cost 36 inf + 1 82.094 * * [simplify]: Extracting #3: cost 115 inf + 3 82.095 * * [simplify]: Extracting #4: cost 173 inf + 10 82.097 * * [simplify]: Extracting #5: cost 170 inf + 143 82.099 * * [simplify]: Extracting #6: cost 138 inf + 2928 82.105 * * [simplify]: Extracting #7: cost 72 inf + 15449 82.117 * * [simplify]: Extracting #8: cost 17 inf + 47256 82.128 * * [simplify]: Extracting #9: cost 0 inf + 61960 82.137 * * [simplify]: Extracting #10: cost 0 inf + 61694 82.146 * [simplify]: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 82.146 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 82.146 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 82.146 * * [simplify]: iters left: 6 (10 enodes) 82.149 * * [simplify]: iters left: 5 (42 enodes) 82.159 * * [simplify]: iters left: 4 (65 enodes) 82.183 * * [simplify]: iters left: 3 (102 enodes) 82.203 * * [simplify]: iters left: 2 (194 enodes) 82.250 * * [simplify]: iters left: 1 (367 enodes) 82.380 * * [simplify]: Extracting #0: cost 1 inf + 0 82.380 * * [simplify]: Extracting #1: cost 6 inf + 0 82.380 * * [simplify]: Extracting #2: cost 40 inf + 0 82.380 * * [simplify]: Extracting #3: cost 120 inf + 84 82.381 * * [simplify]: Extracting #4: cost 153 inf + 465 82.383 * * [simplify]: Extracting #5: cost 92 inf + 15289 82.391 * * [simplify]: Extracting #6: cost 21 inf + 48335 82.408 * * [simplify]: Extracting #7: cost 0 inf + 64786 82.419 * * [simplify]: Extracting #8: cost 0 inf + 64091 82.430 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))) 82.430 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))) 82.430 * * * * [progress]: [ 89 / 307 ] simplifiying candidate # 82.430 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 82.430 * * [simplify]: iters left: 6 (14 enodes) 82.434 * * [simplify]: iters left: 5 (59 enodes) 82.444 * * [simplify]: iters left: 4 (97 enodes) 82.461 * * [simplify]: iters left: 3 (136 enodes) 82.483 * * [simplify]: iters left: 2 (204 enodes) 82.521 * * [simplify]: iters left: 1 (365 enodes) 82.657 * * [simplify]: Extracting #0: cost 1 inf + 0 82.657 * * [simplify]: Extracting #1: cost 7 inf + 0 82.657 * * [simplify]: Extracting #2: cost 11 inf + 1 82.657 * * [simplify]: Extracting #3: cost 33 inf + 1 82.658 * * [simplify]: Extracting #4: cost 106 inf + 2 82.658 * * [simplify]: Extracting #5: cost 154 inf + 218 82.659 * * [simplify]: Extracting #6: cost 153 inf + 478 82.660 * * [simplify]: Extracting #7: cost 99 inf + 5772 82.664 * * [simplify]: Extracting #8: cost 51 inf + 22669 82.673 * * [simplify]: Extracting #9: cost 5 inf + 59480 82.682 * * [simplify]: Extracting #10: cost 0 inf + 61793 82.695 * * [simplify]: Extracting #11: cost 0 inf + 61317 82.718 * [simplify]: Simplified to (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 82.718 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 82.718 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 82.719 * * [simplify]: iters left: 6 (13 enodes) 82.726 * * [simplify]: iters left: 5 (54 enodes) 82.743 * * [simplify]: iters left: 4 (87 enodes) 82.758 * * [simplify]: iters left: 3 (127 enodes) 82.778 * * [simplify]: iters left: 2 (196 enodes) 82.816 * * [simplify]: iters left: 1 (351 enodes) 82.925 * * [simplify]: Extracting #0: cost 1 inf + 0 82.925 * * [simplify]: Extracting #1: cost 4 inf + 0 82.925 * * [simplify]: Extracting #2: cost 8 inf + 0 82.925 * * [simplify]: Extracting #3: cost 32 inf + 1 82.925 * * [simplify]: Extracting #4: cost 115 inf + 43 82.926 * * [simplify]: Extracting #5: cost 148 inf + 301 82.929 * * [simplify]: Extracting #6: cost 96 inf + 9881 82.940 * * [simplify]: Extracting #7: cost 25 inf + 46617 82.959 * * [simplify]: Extracting #8: cost 0 inf + 67985 82.979 * * [simplify]: Extracting #9: cost 0 inf + 67524 83.003 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 83.003 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 83.003 * * * * [progress]: [ 90 / 307 ] simplifiying candidate # 83.003 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 83.004 * * [simplify]: iters left: 6 (13 enodes) 83.011 * * [simplify]: iters left: 5 (54 enodes) 83.029 * * [simplify]: iters left: 4 (88 enodes) 83.055 * * [simplify]: iters left: 3 (124 enodes) 83.089 * * [simplify]: iters left: 2 (192 enodes) 83.133 * * [simplify]: iters left: 1 (353 enodes) 83.274 * * [simplify]: Extracting #0: cost 1 inf + 0 83.274 * * [simplify]: Extracting #1: cost 4 inf + 0 83.274 * * [simplify]: Extracting #2: cost 6 inf + 1 83.274 * * [simplify]: Extracting #3: cost 31 inf + 1 83.275 * * [simplify]: Extracting #4: cost 117 inf + 2 83.276 * * [simplify]: Extracting #5: cost 149 inf + 177 83.277 * * [simplify]: Extracting #6: cost 143 inf + 560 83.280 * * [simplify]: Extracting #7: cost 90 inf + 7975 83.292 * * [simplify]: Extracting #8: cost 20 inf + 48162 83.311 * * [simplify]: Extracting #9: cost 0 inf + 63060 83.336 * * [simplify]: Extracting #10: cost 0 inf + 61954 83.357 * * [simplify]: Extracting #11: cost 0 inf + 61653 83.377 * [simplify]: Simplified to (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 83.378 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 83.378 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 83.378 * * [simplify]: iters left: 6 (13 enodes) 83.385 * * [simplify]: iters left: 5 (54 enodes) 83.403 * * [simplify]: iters left: 4 (88 enodes) 83.426 * * [simplify]: iters left: 3 (124 enodes) 83.446 * * [simplify]: iters left: 2 (192 enodes) 83.501 * * [simplify]: iters left: 1 (353 enodes) 83.620 * * [simplify]: Extracting #0: cost 1 inf + 0 83.620 * * [simplify]: Extracting #1: cost 4 inf + 0 83.620 * * [simplify]: Extracting #2: cost 9 inf + 0 83.621 * * [simplify]: Extracting #3: cost 33 inf + 1 83.621 * * [simplify]: Extracting #4: cost 119 inf + 43 83.623 * * [simplify]: Extracting #5: cost 143 inf + 633 83.634 * * [simplify]: Extracting #6: cost 68 inf + 26811 83.653 * * [simplify]: Extracting #7: cost 14 inf + 46498 83.679 * * [simplify]: Extracting #8: cost 0 inf + 56440 83.695 * * [simplify]: Extracting #9: cost 0 inf + 56100 83.713 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 83.713 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 83.713 * * * * [progress]: [ 91 / 307 ] simplifiying candidate # 83.714 * [simplify]: Simplifying (/ (sqrt 1) 1) 83.714 * * [simplify]: iters left: 3 (3 enodes) 83.717 * * [simplify]: iters left: 2 (9 enodes) 83.719 * * [simplify]: iters left: 1 (11 enodes) 83.722 * * [simplify]: Extracting #0: cost 1 inf + 0 83.722 * * [simplify]: Extracting #1: cost 0 inf + 1 83.722 * [simplify]: Simplified to 1 83.722 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 83.722 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 83.722 * * [simplify]: iters left: 6 (12 enodes) 83.726 * * [simplify]: iters left: 5 (51 enodes) 83.734 * * [simplify]: iters left: 4 (86 enodes) 83.748 * * [simplify]: iters left: 3 (131 enodes) 83.785 * * [simplify]: iters left: 2 (210 enodes) 83.837 * * [simplify]: iters left: 1 (376 enodes) 83.969 * * [simplify]: Extracting #0: cost 1 inf + 0 83.969 * * [simplify]: Extracting #1: cost 6 inf + 0 83.969 * * [simplify]: Extracting #2: cost 39 inf + 0 83.970 * * [simplify]: Extracting #3: cost 126 inf + 43 83.971 * * [simplify]: Extracting #4: cost 157 inf + 427 83.974 * * [simplify]: Extracting #5: cost 114 inf + 4645 83.979 * * [simplify]: Extracting #6: cost 78 inf + 13381 83.985 * * [simplify]: Extracting #7: cost 42 inf + 36175 83.995 * * [simplify]: Extracting #8: cost 0 inf + 71124 84.005 * * [simplify]: Extracting #9: cost 0 inf + 70886 84.020 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 84.020 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 84.020 * * * * [progress]: [ 92 / 307 ] simplifiying candidate # 84.021 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 84.021 * * [simplify]: iters left: 6 (13 enodes) 84.028 * * [simplify]: iters left: 5 (57 enodes) 84.050 * * [simplify]: iters left: 4 (95 enodes) 84.078 * * [simplify]: iters left: 3 (148 enodes) 84.103 * * [simplify]: iters left: 2 (248 enodes) 84.164 * * [simplify]: iters left: 1 (441 enodes) 84.356 * * [simplify]: Extracting #0: cost 1 inf + 0 84.356 * * [simplify]: Extracting #1: cost 6 inf + 0 84.356 * * [simplify]: Extracting #2: cost 36 inf + 1 84.357 * * [simplify]: Extracting #3: cost 135 inf + 2 84.358 * * [simplify]: Extracting #4: cost 181 inf + 179 84.365 * * [simplify]: Extracting #5: cost 160 inf + 2959 84.375 * * [simplify]: Extracting #6: cost 57 inf + 34313 84.396 * * [simplify]: Extracting #7: cost 3 inf + 69570 84.420 * * [simplify]: Extracting #8: cost 0 inf + 69860 84.443 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 84.443 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 84.444 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 84.444 * * [simplify]: iters left: 6 (13 enodes) 84.451 * * [simplify]: iters left: 5 (57 enodes) 84.470 * * [simplify]: iters left: 4 (95 enodes) 84.500 * * [simplify]: iters left: 3 (148 enodes) 84.533 * * [simplify]: iters left: 2 (248 enodes) 84.609 * * [simplify]: iters left: 1 (441 enodes) 84.769 * * [simplify]: Extracting #0: cost 1 inf + 0 84.769 * * [simplify]: Extracting #1: cost 6 inf + 0 84.769 * * [simplify]: Extracting #2: cost 39 inf + 0 84.770 * * [simplify]: Extracting #3: cost 136 inf + 84 84.771 * * [simplify]: Extracting #4: cost 167 inf + 1583 84.775 * * [simplify]: Extracting #5: cost 99 inf + 23902 84.785 * * [simplify]: Extracting #6: cost 10 inf + 64948 84.804 * * [simplify]: Extracting #7: cost 0 inf + 71402 84.830 * * [simplify]: Extracting #8: cost 0 inf + 71068 84.854 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 84.854 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 84.855 * * * * [progress]: [ 93 / 307 ] simplifiying candidate # 84.855 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 84.855 * * [simplify]: iters left: 6 (10 enodes) 84.861 * * [simplify]: iters left: 5 (41 enodes) 84.874 * * [simplify]: iters left: 4 (64 enodes) 84.894 * * [simplify]: iters left: 3 (104 enodes) 84.919 * * [simplify]: iters left: 2 (198 enodes) 84.963 * * [simplify]: iters left: 1 (377 enodes) 85.137 * * [simplify]: Extracting #0: cost 1 inf + 0 85.137 * * [simplify]: Extracting #1: cost 6 inf + 0 85.137 * * [simplify]: Extracting #2: cost 39 inf + 0 85.138 * * [simplify]: Extracting #3: cost 126 inf + 2 85.138 * * [simplify]: Extracting #4: cost 186 inf + 296 85.140 * * [simplify]: Extracting #5: cost 156 inf + 5614 85.144 * * [simplify]: Extracting #6: cost 69 inf + 27398 85.155 * * [simplify]: Extracting #7: cost 11 inf + 61853 85.164 * * [simplify]: Extracting #8: cost 0 inf + 68047 85.177 * * [simplify]: Extracting #9: cost 0 inf + 67322 85.187 * * [simplify]: Extracting #10: cost 0 inf + 67070 85.196 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 85.197 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 85.197 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 85.197 * * [simplify]: iters left: 6 (11 enodes) 85.200 * * [simplify]: iters left: 5 (45 enodes) 85.212 * * [simplify]: iters left: 4 (68 enodes) 85.234 * * [simplify]: iters left: 3 (108 enodes) 85.277 * * [simplify]: iters left: 2 (205 enodes) 85.352 * * [simplify]: iters left: 1 (384 enodes) 85.501 * * [simplify]: Extracting #0: cost 1 inf + 0 85.501 * * [simplify]: Extracting #1: cost 6 inf + 0 85.502 * * [simplify]: Extracting #2: cost 36 inf + 0 85.502 * * [simplify]: Extracting #3: cost 122 inf + 1 85.504 * * [simplify]: Extracting #4: cost 155 inf + 752 85.510 * * [simplify]: Extracting #5: cost 86 inf + 25726 85.527 * * [simplify]: Extracting #6: cost 12 inf + 62584 85.548 * * [simplify]: Extracting #7: cost 0 inf + 68056 85.567 * * [simplify]: Extracting #8: cost 0 inf + 67804 85.577 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 85.577 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 85.577 * * * * [progress]: [ 94 / 307 ] simplifiying candidate # 85.578 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 85.578 * * [simplify]: iters left: 6 (15 enodes) 85.582 * * [simplify]: iters left: 5 (62 enodes) 85.591 * * [simplify]: iters left: 4 (93 enodes) 85.616 * * [simplify]: iters left: 3 (131 enodes) 85.643 * * [simplify]: iters left: 2 (217 enodes) 85.692 * * [simplify]: iters left: 1 (376 enodes) 85.875 * * [simplify]: Extracting #0: cost 1 inf + 0 85.875 * * [simplify]: Extracting #1: cost 6 inf + 0 85.875 * * [simplify]: Extracting #2: cost 12 inf + 0 85.876 * * [simplify]: Extracting #3: cost 38 inf + 0 85.876 * * [simplify]: Extracting #4: cost 106 inf + 84 85.877 * * [simplify]: Extracting #5: cost 160 inf + 340 85.879 * * [simplify]: Extracting #6: cost 143 inf + 1796 85.884 * * [simplify]: Extracting #7: cost 85 inf + 12397 85.897 * * [simplify]: Extracting #8: cost 29 inf + 38692 85.908 * * [simplify]: Extracting #9: cost 0 inf + 59883 85.919 * * [simplify]: Extracting #10: cost 0 inf + 59792 85.930 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))))) 85.930 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 85.930 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 85.931 * * [simplify]: iters left: 6 (14 enodes) 85.938 * * [simplify]: iters left: 5 (57 enodes) 85.960 * * [simplify]: iters left: 4 (90 enodes) 85.979 * * [simplify]: iters left: 3 (126 enodes) 85.999 * * [simplify]: iters left: 2 (194 enodes) 86.053 * * [simplify]: iters left: 1 (356 enodes) 86.181 * * [simplify]: Extracting #0: cost 1 inf + 0 86.181 * * [simplify]: Extracting #1: cost 4 inf + 0 86.181 * * [simplify]: Extracting #2: cost 8 inf + 0 86.181 * * [simplify]: Extracting #3: cost 34 inf + 0 86.181 * * [simplify]: Extracting #4: cost 118 inf + 43 86.182 * * [simplify]: Extracting #5: cost 153 inf + 382 86.183 * * [simplify]: Extracting #6: cost 109 inf + 6095 86.186 * * [simplify]: Extracting #7: cost 63 inf + 17738 86.193 * * [simplify]: Extracting #8: cost 19 inf + 51146 86.207 * * [simplify]: Extracting #9: cost 0 inf + 68210 86.226 * * [simplify]: Extracting #10: cost 0 inf + 67620 86.238 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 86.238 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 86.238 * * * * [progress]: [ 95 / 307 ] simplifiying candidate # 86.238 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.238 * * [simplify]: iters left: 6 (14 enodes) 86.243 * * [simplify]: iters left: 5 (57 enodes) 86.252 * * [simplify]: iters left: 4 (91 enodes) 86.266 * * [simplify]: iters left: 3 (127 enodes) 86.301 * * [simplify]: iters left: 2 (195 enodes) 86.352 * * [simplify]: iters left: 1 (361 enodes) 86.505 * * [simplify]: Extracting #0: cost 1 inf + 0 86.505 * * [simplify]: Extracting #1: cost 4 inf + 0 86.505 * * [simplify]: Extracting #2: cost 9 inf + 0 86.505 * * [simplify]: Extracting #3: cost 37 inf + 0 86.506 * * [simplify]: Extracting #4: cost 126 inf + 43 86.507 * * [simplify]: Extracting #5: cost 158 inf + 507 86.510 * * [simplify]: Extracting #6: cost 117 inf + 5898 86.525 * * [simplify]: Extracting #7: cost 33 inf + 39065 86.541 * * [simplify]: Extracting #8: cost 0 inf + 68936 86.552 * * [simplify]: Extracting #9: cost 0 inf + 67142 86.564 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 86.564 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 86.565 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.565 * * [simplify]: iters left: 6 (14 enodes) 86.572 * * [simplify]: iters left: 5 (57 enodes) 86.591 * * [simplify]: iters left: 4 (91 enodes) 86.619 * * [simplify]: iters left: 3 (127 enodes) 86.661 * * [simplify]: iters left: 2 (195 enodes) 86.713 * * [simplify]: iters left: 1 (361 enodes) 86.849 * * [simplify]: Extracting #0: cost 1 inf + 0 86.849 * * [simplify]: Extracting #1: cost 4 inf + 0 86.849 * * [simplify]: Extracting #2: cost 9 inf + 0 86.849 * * [simplify]: Extracting #3: cost 37 inf + 0 86.850 * * [simplify]: Extracting #4: cost 126 inf + 43 86.850 * * [simplify]: Extracting #5: cost 158 inf + 507 86.852 * * [simplify]: Extracting #6: cost 117 inf + 5898 86.858 * * [simplify]: Extracting #7: cost 33 inf + 39065 86.875 * * [simplify]: Extracting #8: cost 0 inf + 68936 86.897 * * [simplify]: Extracting #9: cost 0 inf + 67142 86.920 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 86.920 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 86.920 * * * * [progress]: [ 96 / 307 ] simplifiying candidate # 86.920 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 86.920 * * [simplify]: iters left: 4 (5 enodes) 86.923 * * [simplify]: iters left: 3 (15 enodes) 86.928 * * [simplify]: iters left: 2 (17 enodes) 86.933 * * [simplify]: Extracting #0: cost 1 inf + 0 86.933 * * [simplify]: Extracting #1: cost 4 inf + 0 86.933 * * [simplify]: Extracting #2: cost 5 inf + 1 86.933 * * [simplify]: Extracting #3: cost 4 inf + 2 86.933 * * [simplify]: Extracting #4: cost 1 inf + 165 86.933 * * [simplify]: Extracting #5: cost 0 inf + 246 86.934 * [simplify]: Simplified to (sqrt (sqrt k)) 86.934 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 86.934 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 86.934 * * [simplify]: iters left: 6 (13 enodes) 86.941 * * [simplify]: iters left: 5 (54 enodes) 86.958 * * [simplify]: iters left: 4 (85 enodes) 86.973 * * [simplify]: iters left: 3 (127 enodes) 87.003 * * [simplify]: iters left: 2 (219 enodes) 87.049 * * [simplify]: iters left: 1 (389 enodes) 87.197 * * [simplify]: Extracting #0: cost 1 inf + 0 87.197 * * [simplify]: Extracting #1: cost 6 inf + 0 87.197 * * [simplify]: Extracting #2: cost 40 inf + 0 87.198 * * [simplify]: Extracting #3: cost 126 inf + 1 87.198 * * [simplify]: Extracting #4: cost 162 inf + 629 87.200 * * [simplify]: Extracting #5: cost 126 inf + 3574 87.204 * * [simplify]: Extracting #6: cost 59 inf + 29624 87.219 * * [simplify]: Extracting #7: cost 4 inf + 68604 87.232 * * [simplify]: Extracting #8: cost 0 inf + 70292 87.246 * * [simplify]: Extracting #9: cost 0 inf + 70291 87.259 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 87.259 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 87.260 * * * * [progress]: [ 97 / 307 ] simplifiying candidate # 87.260 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 87.260 * * [simplify]: iters left: 6 (14 enodes) 87.264 * * [simplify]: iters left: 5 (60 enodes) 87.274 * * [simplify]: iters left: 4 (98 enodes) 87.294 * * [simplify]: iters left: 3 (154 enodes) 87.349 * * [simplify]: iters left: 2 (277 enodes) 87.429 * * [simplify]: iters left: 1 (498 enodes) 87.685 * * [simplify]: Extracting #0: cost 1 inf + 0 87.685 * * [simplify]: Extracting #1: cost 6 inf + 0 87.686 * * [simplify]: Extracting #2: cost 35 inf + 0 87.686 * * [simplify]: Extracting #3: cost 126 inf + 1 87.688 * * [simplify]: Extracting #4: cost 200 inf + 302 87.697 * * [simplify]: Extracting #5: cost 139 inf + 10830 87.708 * * [simplify]: Extracting #6: cost 55 inf + 28922 87.722 * * [simplify]: Extracting #7: cost 11 inf + 63820 87.734 * * [simplify]: Extracting #8: cost 0 inf + 71724 87.747 * * [simplify]: Extracting #9: cost 0 inf + 71604 87.766 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 87.766 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 87.766 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 87.767 * * [simplify]: iters left: 6 (14 enodes) 87.771 * * [simplify]: iters left: 5 (60 enodes) 87.780 * * [simplify]: iters left: 4 (98 enodes) 87.803 * * [simplify]: iters left: 3 (154 enodes) 87.856 * * [simplify]: iters left: 2 (277 enodes) 87.962 * * [simplify]: iters left: 1 (498 enodes) 88.187 * * [simplify]: Extracting #0: cost 1 inf + 0 88.187 * * [simplify]: Extracting #1: cost 6 inf + 0 88.187 * * [simplify]: Extracting #2: cost 35 inf + 0 88.187 * * [simplify]: Extracting #3: cost 126 inf + 1 88.188 * * [simplify]: Extracting #4: cost 200 inf + 302 88.190 * * [simplify]: Extracting #5: cost 139 inf + 10830 88.196 * * [simplify]: Extracting #6: cost 55 inf + 28922 88.205 * * [simplify]: Extracting #7: cost 11 inf + 63820 88.221 * * [simplify]: Extracting #8: cost 0 inf + 71724 88.249 * * [simplify]: Extracting #9: cost 0 inf + 71604 88.261 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 88.261 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 88.261 * * * * [progress]: [ 98 / 307 ] simplifiying candidate # 88.261 * [simplify]: Simplifying (/ 1 (pow n (/ (- 1 k) 2))) 88.261 * * [simplify]: iters left: 6 (8 enodes) 88.264 * * [simplify]: iters left: 5 (35 enodes) 88.270 * * [simplify]: iters left: 4 (58 enodes) 88.280 * * [simplify]: iters left: 3 (95 enodes) 88.299 * * [simplify]: iters left: 2 (187 enodes) 88.344 * * [simplify]: iters left: 1 (358 enodes) 88.481 * * [simplify]: Extracting #0: cost 1 inf + 0 88.481 * * [simplify]: Extracting #1: cost 6 inf + 0 88.481 * * [simplify]: Extracting #2: cost 32 inf + 1 88.482 * * [simplify]: Extracting #3: cost 115 inf + 3 88.482 * * [simplify]: Extracting #4: cost 161 inf + 9 88.483 * * [simplify]: Extracting #5: cost 153 inf + 1848 88.485 * * [simplify]: Extracting #6: cost 97 inf + 10544 88.499 * * [simplify]: Extracting #7: cost 8 inf + 58518 88.521 * * [simplify]: Extracting #8: cost 0 inf + 62121 88.533 * [simplify]: Simplified to (/ 1 (pow n (* 1/2 (- 1 k)))) 88.533 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow n (* 1/2 (- 1 k)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 88.534 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 88.534 * * [simplify]: iters left: 6 (10 enodes) 88.537 * * [simplify]: iters left: 5 (42 enodes) 88.545 * * [simplify]: iters left: 4 (65 enodes) 88.556 * * [simplify]: iters left: 3 (102 enodes) 88.588 * * [simplify]: iters left: 2 (194 enodes) 88.641 * * [simplify]: iters left: 1 (367 enodes) 88.778 * * [simplify]: Extracting #0: cost 1 inf + 0 88.778 * * [simplify]: Extracting #1: cost 6 inf + 0 88.778 * * [simplify]: Extracting #2: cost 40 inf + 0 88.779 * * [simplify]: Extracting #3: cost 120 inf + 84 88.780 * * [simplify]: Extracting #4: cost 153 inf + 465 88.785 * * [simplify]: Extracting #5: cost 92 inf + 15289 88.799 * * [simplify]: Extracting #6: cost 21 inf + 48335 88.819 * * [simplify]: Extracting #7: cost 0 inf + 64786 88.841 * * [simplify]: Extracting #8: cost 0 inf + 64091 88.865 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))) 88.866 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))) 88.866 * * * * [progress]: [ 99 / 307 ] simplifiying candidate # 88.866 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 88.866 * * [simplify]: iters left: 6 (13 enodes) 88.874 * * [simplify]: iters left: 5 (56 enodes) 88.887 * * [simplify]: iters left: 4 (91 enodes) 88.903 * * [simplify]: iters left: 3 (127 enodes) 88.933 * * [simplify]: iters left: 2 (195 enodes) 88.989 * * [simplify]: iters left: 1 (360 enodes) 89.110 * * [simplify]: Extracting #0: cost 1 inf + 0 89.111 * * [simplify]: Extracting #1: cost 6 inf + 0 89.111 * * [simplify]: Extracting #2: cost 9 inf + 1 89.111 * * [simplify]: Extracting #3: cost 34 inf + 1 89.111 * * [simplify]: Extracting #4: cost 117 inf + 2 89.112 * * [simplify]: Extracting #5: cost 158 inf + 218 89.112 * * [simplify]: Extracting #6: cost 156 inf + 519 89.114 * * [simplify]: Extracting #7: cost 95 inf + 8978 89.121 * * [simplify]: Extracting #8: cost 23 inf + 53083 89.133 * * [simplify]: Extracting #9: cost 0 inf + 70120 89.151 * * [simplify]: Extracting #10: cost 0 inf + 68261 89.173 * * [simplify]: Extracting #11: cost 0 inf + 67270 89.189 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) 89.189 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 89.189 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 89.189 * * [simplify]: iters left: 6 (13 enodes) 89.193 * * [simplify]: iters left: 5 (54 enodes) 89.202 * * [simplify]: iters left: 4 (87 enodes) 89.216 * * [simplify]: iters left: 3 (127 enodes) 89.248 * * [simplify]: iters left: 2 (196 enodes) 89.285 * * [simplify]: iters left: 1 (351 enodes) 89.439 * * [simplify]: Extracting #0: cost 1 inf + 0 89.439 * * [simplify]: Extracting #1: cost 4 inf + 0 89.439 * * [simplify]: Extracting #2: cost 8 inf + 0 89.439 * * [simplify]: Extracting #3: cost 32 inf + 1 89.439 * * [simplify]: Extracting #4: cost 115 inf + 43 89.440 * * [simplify]: Extracting #5: cost 148 inf + 301 89.441 * * [simplify]: Extracting #6: cost 96 inf + 9881 89.447 * * [simplify]: Extracting #7: cost 25 inf + 46617 89.464 * * [simplify]: Extracting #8: cost 0 inf + 67985 89.484 * * [simplify]: Extracting #9: cost 0 inf + 67524 89.503 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 89.503 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 89.503 * * * * [progress]: [ 100 / 307 ] simplifiying candidate # 89.503 * [simplify]: Simplifying (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 89.503 * * [simplify]: iters left: 6 (12 enodes) 89.507 * * [simplify]: iters left: 5 (51 enodes) 89.515 * * [simplify]: iters left: 4 (85 enodes) 89.529 * * [simplify]: iters left: 3 (126 enodes) 89.566 * * [simplify]: iters left: 2 (199 enodes) 89.635 * * [simplify]: iters left: 1 (355 enodes) 89.830 * * [simplify]: Extracting #0: cost 1 inf + 0 89.830 * * [simplify]: Extracting #1: cost 4 inf + 0 89.830 * * [simplify]: Extracting #2: cost 6 inf + 1 89.830 * * [simplify]: Extracting #3: cost 31 inf + 1 89.831 * * [simplify]: Extracting #4: cost 106 inf + 2 89.832 * * [simplify]: Extracting #5: cost 132 inf + 177 89.833 * * [simplify]: Extracting #6: cost 125 inf + 684 89.836 * * [simplify]: Extracting #7: cost 79 inf + 6491 89.845 * * [simplify]: Extracting #8: cost 28 inf + 29531 89.863 * * [simplify]: Extracting #9: cost 0 inf + 53620 89.882 * * [simplify]: Extracting #10: cost 0 inf + 52668 89.902 * [simplify]: Simplified to (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 89.902 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 89.903 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 89.903 * * [simplify]: iters left: 6 (13 enodes) 89.906 * * [simplify]: iters left: 5 (54 enodes) 89.916 * * [simplify]: iters left: 4 (88 enodes) 89.932 * * [simplify]: iters left: 3 (124 enodes) 89.952 * * [simplify]: iters left: 2 (192 enodes) 89.995 * * [simplify]: iters left: 1 (353 enodes) 90.134 * * [simplify]: Extracting #0: cost 1 inf + 0 90.134 * * [simplify]: Extracting #1: cost 4 inf + 0 90.134 * * [simplify]: Extracting #2: cost 9 inf + 0 90.134 * * [simplify]: Extracting #3: cost 33 inf + 1 90.135 * * [simplify]: Extracting #4: cost 119 inf + 43 90.136 * * [simplify]: Extracting #5: cost 143 inf + 633 90.144 * * [simplify]: Extracting #6: cost 68 inf + 26811 90.155 * * [simplify]: Extracting #7: cost 14 inf + 46498 90.169 * * [simplify]: Extracting #8: cost 0 inf + 56440 90.185 * * [simplify]: Extracting #9: cost 0 inf + 56100 90.201 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 90.202 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 90.202 * * * * [progress]: [ 101 / 307 ] simplifiying candidate # 90.202 * [simplify]: Simplifying (/ 1 1) 90.202 * * [simplify]: iters left: 2 (2 enodes) 90.204 * * [simplify]: iters left: 1 (6 enodes) 90.206 * * [simplify]: Extracting #0: cost 1 inf + 0 90.206 * * [simplify]: Extracting #1: cost 0 inf + 1 90.206 * [simplify]: Simplified to 1 90.206 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 90.206 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 90.206 * * [simplify]: iters left: 6 (12 enodes) 90.209 * * [simplify]: iters left: 5 (51 enodes) 90.220 * * [simplify]: iters left: 4 (86 enodes) 90.234 * * [simplify]: iters left: 3 (131 enodes) 90.270 * * [simplify]: iters left: 2 (210 enodes) 90.314 * * [simplify]: iters left: 1 (376 enodes) 90.473 * * [simplify]: Extracting #0: cost 1 inf + 0 90.473 * * [simplify]: Extracting #1: cost 6 inf + 0 90.473 * * [simplify]: Extracting #2: cost 39 inf + 0 90.474 * * [simplify]: Extracting #3: cost 126 inf + 43 90.474 * * [simplify]: Extracting #4: cost 157 inf + 427 90.476 * * [simplify]: Extracting #5: cost 114 inf + 4645 90.478 * * [simplify]: Extracting #6: cost 78 inf + 13381 90.483 * * [simplify]: Extracting #7: cost 42 inf + 36175 90.493 * * [simplify]: Extracting #8: cost 0 inf + 71124 90.516 * * [simplify]: Extracting #9: cost 0 inf + 70886 90.529 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 90.529 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 90.529 * * * * [progress]: [ 102 / 307 ] simplifiying candidate # 90.529 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 90.529 * * [simplify]: iters left: 6 (12 enodes) 90.533 * * [simplify]: iters left: 5 (54 enodes) 90.543 * * [simplify]: iters left: 4 (92 enodes) 90.561 * * [simplify]: iters left: 3 (151 enodes) 90.615 * * [simplify]: iters left: 2 (276 enodes) 90.695 * * [simplify]: Extracting #0: cost 1 inf + 0 90.695 * * [simplify]: Extracting #1: cost 6 inf + 0 90.695 * * [simplify]: Extracting #2: cost 24 inf + 1 90.696 * * [simplify]: Extracting #3: cost 96 inf + 2 90.696 * * [simplify]: Extracting #4: cost 123 inf + 220 90.697 * * [simplify]: Extracting #5: cost 122 inf + 558 90.700 * * [simplify]: Extracting #6: cost 67 inf + 7447 90.705 * * [simplify]: Extracting #7: cost 6 inf + 33024 90.710 * * [simplify]: Extracting #8: cost 0 inf + 36673 90.716 * [simplify]: Simplified to (/ 1 (pow (* (* 2 n) PI) (* 1/4 (- 1 k)))) 90.716 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* (* 2 n) PI) (* 1/4 (- 1 k)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 90.716 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 90.716 * * [simplify]: iters left: 6 (13 enodes) 90.720 * * [simplify]: iters left: 5 (57 enodes) 90.734 * * [simplify]: iters left: 4 (95 enodes) 90.765 * * [simplify]: iters left: 3 (148 enodes) 90.790 * * [simplify]: iters left: 2 (248 enodes) 90.863 * * [simplify]: iters left: 1 (441 enodes) 91.049 * * [simplify]: Extracting #0: cost 1 inf + 0 91.049 * * [simplify]: Extracting #1: cost 6 inf + 0 91.049 * * [simplify]: Extracting #2: cost 39 inf + 0 91.049 * * [simplify]: Extracting #3: cost 136 inf + 84 91.050 * * [simplify]: Extracting #4: cost 167 inf + 1583 91.055 * * [simplify]: Extracting #5: cost 99 inf + 23902 91.075 * * [simplify]: Extracting #6: cost 10 inf + 64948 91.098 * * [simplify]: Extracting #7: cost 0 inf + 71402 91.121 * * [simplify]: Extracting #8: cost 0 inf + 71068 91.145 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 91.145 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 91.146 * * * * [progress]: [ 103 / 307 ] simplifiying candidate # 91.146 * * * * [progress]: [ 104 / 307 ] simplifiying candidate # 91.146 * * * * [progress]: [ 105 / 307 ] simplifiying candidate # 91.146 * * * * [progress]: [ 106 / 307 ] simplifiying candidate # 91.146 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 91.146 * * [simplify]: iters left: 5 (8 enodes) 91.151 * * [simplify]: iters left: 4 (36 enodes) 91.163 * * [simplify]: iters left: 3 (57 enodes) 91.182 * * [simplify]: iters left: 2 (90 enodes) 91.214 * * [simplify]: iters left: 1 (176 enodes) 91.251 * * [simplify]: Extracting #0: cost 1 inf + 0 91.251 * * [simplify]: Extracting #1: cost 13 inf + 0 91.251 * * [simplify]: Extracting #2: cost 55 inf + 1 91.251 * * [simplify]: Extracting #3: cost 86 inf + 6 91.252 * * [simplify]: Extracting #4: cost 68 inf + 2553 91.253 * * [simplify]: Extracting #5: cost 24 inf + 10048 91.256 * * [simplify]: Extracting #6: cost 3 inf + 21580 91.259 * * [simplify]: Extracting #7: cost 0 inf + 23439 91.263 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 91.263 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))) 91.263 * * * * [progress]: [ 107 / 307 ] simplifiying candidate # 91.263 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 91.263 * * [simplify]: iters left: 6 (11 enodes) 91.267 * * [simplify]: iters left: 5 (48 enodes) 91.275 * * [simplify]: iters left: 4 (77 enodes) 91.290 * * [simplify]: iters left: 3 (118 enodes) 91.316 * * [simplify]: iters left: 2 (206 enodes) 91.376 * * [simplify]: iters left: 1 (369 enodes) 91.538 * * [simplify]: Extracting #0: cost 1 inf + 0 91.539 * * [simplify]: Extracting #1: cost 3 inf + 0 91.539 * * [simplify]: Extracting #2: cost 27 inf + 0 91.539 * * [simplify]: Extracting #3: cost 102 inf + 1 91.540 * * [simplify]: Extracting #4: cost 161 inf + 176 91.542 * * [simplify]: Extracting #5: cost 156 inf + 477 91.545 * * [simplify]: Extracting #6: cost 102 inf + 6602 91.558 * * [simplify]: Extracting #7: cost 23 inf + 45434 91.569 * * [simplify]: Extracting #8: cost 0 inf + 61866 91.580 * * [simplify]: Extracting #9: cost 0 inf + 59723 91.593 * * [simplify]: Extracting #10: cost 0 inf + 58567 91.615 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 91.615 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 91.615 * * * * [progress]: [ 108 / 307 ] simplifiying candidate # 91.616 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 91.616 * * [simplify]: iters left: 6 (11 enodes) 91.622 * * [simplify]: iters left: 5 (48 enodes) 91.630 * * [simplify]: iters left: 4 (78 enodes) 91.643 * * [simplify]: iters left: 3 (120 enodes) 91.673 * * [simplify]: iters left: 2 (211 enodes) 91.746 * * [simplify]: iters left: 1 (378 enodes) 91.899 * * [simplify]: Extracting #0: cost 1 inf + 0 91.899 * * [simplify]: Extracting #1: cost 4 inf + 0 91.900 * * [simplify]: Extracting #2: cost 28 inf + 0 91.900 * * [simplify]: Extracting #3: cost 111 inf + 1 91.901 * * [simplify]: Extracting #4: cost 151 inf + 220 91.903 * * [simplify]: Extracting #5: cost 149 inf + 601 91.905 * * [simplify]: Extracting #6: cost 109 inf + 5630 91.914 * * [simplify]: Extracting #7: cost 43 inf + 25793 91.933 * * [simplify]: Extracting #8: cost 5 inf + 52343 91.943 * * [simplify]: Extracting #9: cost 0 inf + 56629 91.954 * * [simplify]: Extracting #10: cost 0 inf + 55972 91.964 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 91.964 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 91.964 * * * * [progress]: [ 109 / 307 ] simplifiying candidate # 91.965 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 91.965 * * [simplify]: iters left: 5 (10 enodes) 91.970 * * [simplify]: iters left: 4 (45 enodes) 91.980 * * [simplify]: iters left: 3 (78 enodes) 91.992 * * [simplify]: iters left: 2 (118 enodes) 92.016 * * [simplify]: iters left: 1 (191 enodes) 92.081 * * [simplify]: Extracting #0: cost 1 inf + 0 92.081 * * [simplify]: Extracting #1: cost 13 inf + 0 92.081 * * [simplify]: Extracting #2: cost 60 inf + 1 92.081 * * [simplify]: Extracting #3: cost 92 inf + 7 92.082 * * [simplify]: Extracting #4: cost 83 inf + 930 92.083 * * [simplify]: Extracting #5: cost 41 inf + 6729 92.085 * * [simplify]: Extracting #6: cost 13 inf + 16801 92.089 * * [simplify]: Extracting #7: cost 0 inf + 25197 92.093 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 92.093 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 92.093 * * * * [progress]: [ 110 / 307 ] simplifiying candidate # 92.093 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 92.093 * * [simplify]: iters left: 6 (11 enodes) 92.096 * * [simplify]: iters left: 5 (51 enodes) 92.105 * * [simplify]: iters left: 4 (87 enodes) 92.130 * * [simplify]: iters left: 3 (143 enodes) 92.157 * * [simplify]: iters left: 2 (259 enodes) 92.216 * * [simplify]: iters left: 1 (467 enodes) 92.417 * * [simplify]: Extracting #0: cost 1 inf + 0 92.417 * * [simplify]: Extracting #1: cost 23 inf + 0 92.418 * * [simplify]: Extracting #2: cost 99 inf + 1 92.419 * * [simplify]: Extracting #3: cost 180 inf + 178 92.421 * * [simplify]: Extracting #4: cost 162 inf + 2505 92.427 * * [simplify]: Extracting #5: cost 78 inf + 12096 92.438 * * [simplify]: Extracting #6: cost 33 inf + 29460 92.457 * * [simplify]: Extracting #7: cost 1 inf + 56926 92.477 * * [simplify]: Extracting #8: cost 0 inf + 57804 92.495 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 92.495 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* (* PI 2) n) (* 1/4 (- 1 k)))))) 92.495 * * * * [progress]: [ 111 / 307 ] simplifiying candidate # 92.496 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 92.496 * * [simplify]: iters left: 4 (4 enodes) 92.497 * * [simplify]: iters left: 3 (12 enodes) 92.498 * * [simplify]: Extracting #0: cost 1 inf + 0 92.498 * * [simplify]: Extracting #1: cost 3 inf + 0 92.498 * * [simplify]: Extracting #2: cost 5 inf + 0 92.498 * * [simplify]: Extracting #3: cost 7 inf + 0 92.498 * * [simplify]: Extracting #4: cost 6 inf + 1 92.498 * * [simplify]: Extracting #5: cost 0 inf + 647 92.498 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 92.498 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 92.499 * * * * [progress]: [ 112 / 307 ] simplifiying candidate # 92.499 * [simplify]: Simplifying (sqrt (* (cbrt k) (cbrt k))) 92.499 * * [simplify]: iters left: 4 (4 enodes) 92.500 * * [simplify]: iters left: 3 (13 enodes) 92.501 * * [simplify]: Extracting #0: cost 1 inf + 0 92.501 * * [simplify]: Extracting #1: cost 4 inf + 0 92.501 * * [simplify]: Extracting #2: cost 7 inf + 0 92.501 * * [simplify]: Extracting #3: cost 6 inf + 1 92.501 * * [simplify]: Extracting #4: cost 0 inf + 647 92.501 * [simplify]: Simplified to (fabs (cbrt k)) 92.502 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (fabs (cbrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 92.502 * * * * [progress]: [ 113 / 307 ] simplifiying candidate # 92.502 * [simplify]: Simplifying (sqrt (sqrt k)) 92.502 * * [simplify]: iters left: 2 (3 enodes) 92.502 * * [simplify]: iters left: 1 (9 enodes) 92.504 * * [simplify]: Extracting #0: cost 1 inf + 0 92.504 * * [simplify]: Extracting #1: cost 3 inf + 0 92.504 * * [simplify]: Extracting #2: cost 5 inf + 0 92.504 * * [simplify]: Extracting #3: cost 4 inf + 1 92.504 * * [simplify]: Extracting #4: cost 0 inf + 245 92.504 * [simplify]: Simplified to (sqrt (sqrt k)) 92.504 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 92.504 * * * * [progress]: [ 114 / 307 ] simplifiying candidate # 92.504 * [simplify]: Simplifying (sqrt 1) 92.504 * * [simplify]: iters left: 1 (2 enodes) 92.509 * * [simplify]: Extracting #0: cost 1 inf + 0 92.510 * * [simplify]: Extracting #1: cost 0 inf + 1 92.510 * [simplify]: Simplified to 1 92.510 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 92.510 * * * * [progress]: [ 115 / 307 ] simplifiying candidate # 92.511 * [simplify]: Simplifying (sqrt (sqrt k)) 92.511 * * [simplify]: iters left: 2 (3 enodes) 92.511 * * [simplify]: iters left: 1 (9 enodes) 92.512 * * [simplify]: Extracting #0: cost 1 inf + 0 92.512 * * [simplify]: Extracting #1: cost 3 inf + 0 92.513 * * [simplify]: Extracting #2: cost 5 inf + 0 92.513 * * [simplify]: Extracting #3: cost 4 inf + 1 92.513 * * [simplify]: Extracting #4: cost 0 inf + 245 92.513 * [simplify]: Simplified to (sqrt (sqrt k)) 92.513 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 92.513 * * * * [progress]: [ 116 / 307 ] simplifiying candidate # 92.513 * * * * [progress]: [ 117 / 307 ] simplifiying candidate # 92.513 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 92.513 * * [simplify]: iters left: 5 (8 enodes) 92.515 * * [simplify]: iters left: 4 (31 enodes) 92.520 * * [simplify]: iters left: 3 (51 enodes) 92.529 * * [simplify]: iters left: 2 (85 enodes) 92.547 * * [simplify]: iters left: 1 (152 enodes) 92.586 * * [simplify]: Extracting #0: cost 1 inf + 0 92.586 * * [simplify]: Extracting #1: cost 13 inf + 0 92.586 * * [simplify]: Extracting #2: cost 59 inf + 1 92.586 * * [simplify]: Extracting #3: cost 76 inf + 9 92.588 * * [simplify]: Extracting #4: cost 41 inf + 3303 92.590 * * [simplify]: Extracting #5: cost 16 inf + 10676 92.593 * * [simplify]: Extracting #6: cost 0 inf + 21028 92.595 * * [simplify]: Extracting #7: cost 0 inf + 20456 92.600 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 92.600 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))))) 92.600 * * * * [progress]: [ 118 / 307 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 92.600 * * * * [progress]: [ 119 / 307 ] simplifiying candidate # 92.600 * * * * [progress]: [ 120 / 307 ] simplifiying candidate # 92.600 * [simplify]: Simplifying (- 1) 92.600 * * [simplify]: iters left: 2 (2 enodes) 92.601 * * [simplify]: iters left: 1 (9 enodes) 92.603 * * [simplify]: Extracting #0: cost 1 inf + 0 92.603 * * [simplify]: Extracting #1: cost 0 inf + 1 92.603 * [simplify]: Simplified to -1 92.603 * [simplify]: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) -1)) 92.603 * * * * [progress]: [ 121 / 307 ] simplifiying candidate # 92.603 * * * * [progress]: [ 122 / 307 ] simplifiying candidate # 92.603 * * * * [progress]: [ 123 / 307 ] simplifiying candidate # 92.603 * * * * [progress]: [ 124 / 307 ] simplifiying candidate # 92.603 * * * * [progress]: [ 125 / 307 ] simplifiying candidate # 92.603 * * * * [progress]: [ 126 / 307 ] simplifiying candidate # 92.603 * * * * [progress]: [ 127 / 307 ] simplifiying candidate # 92.604 * * * * [progress]: [ 128 / 307 ] simplifiying candidate # 92.604 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 92.604 * * [simplify]: iters left: 6 (18 enodes) 92.609 * * [simplify]: iters left: 5 (74 enodes) 92.624 * * [simplify]: iters left: 4 (139 enodes) 92.686 * * [simplify]: iters left: 3 (420 enodes) 92.897 * * [simplify]: Extracting #0: cost 1 inf + 0 92.897 * * [simplify]: Extracting #1: cost 49 inf + 0 92.897 * * [simplify]: Extracting #2: cost 196 inf + 1 92.898 * * [simplify]: Extracting #3: cost 307 inf + 74 92.900 * * [simplify]: Extracting #4: cost 310 inf + 3087 92.905 * * [simplify]: Extracting #5: cost 178 inf + 35408 92.927 * * [simplify]: Extracting #6: cost 24 inf + 87292 92.963 * * [simplify]: Extracting #7: cost 0 inf + 96540 93.001 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 93.001 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 93.001 * * * * [progress]: [ 129 / 307 ] simplifiying candidate # 93.001 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 93.001 * * [simplify]: iters left: 6 (17 enodes) 93.012 * * [simplify]: iters left: 5 (72 enodes) 93.038 * * [simplify]: iters left: 4 (132 enodes) 93.066 * * [simplify]: iters left: 3 (349 enodes) 93.238 * * [simplify]: Extracting #0: cost 1 inf + 0 93.238 * * [simplify]: Extracting #1: cost 42 inf + 0 93.239 * * [simplify]: Extracting #2: cost 170 inf + 1 93.239 * * [simplify]: Extracting #3: cost 274 inf + 3 93.241 * * [simplify]: Extracting #4: cost 280 inf + 2631 93.250 * * [simplify]: Extracting #5: cost 99 inf + 47297 93.272 * * [simplify]: Extracting #6: cost 3 inf + 78677 93.288 * * [simplify]: Extracting #7: cost 0 inf + 78689 93.316 * [simplify]: Simplified to (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k))) 93.316 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 93.316 * * * * [progress]: [ 130 / 307 ] simplifiying candidate # 93.317 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 93.317 * * [simplify]: iters left: 6 (16 enodes) 93.326 * * [simplify]: iters left: 5 (71 enodes) 93.350 * * [simplify]: iters left: 4 (139 enodes) 93.400 * * [simplify]: iters left: 3 (322 enodes) 93.534 * * [simplify]: Extracting #0: cost 1 inf + 0 93.534 * * [simplify]: Extracting #1: cost 29 inf + 0 93.534 * * [simplify]: Extracting #2: cost 130 inf + 1 93.536 * * [simplify]: Extracting #3: cost 228 inf + 74 93.539 * * [simplify]: Extracting #4: cost 227 inf + 4977 93.553 * * [simplify]: Extracting #5: cost 50 inf + 43937 93.575 * * [simplify]: Extracting #6: cost 1 inf + 57445 93.592 * * [simplify]: Extracting #7: cost 0 inf + 57678 93.604 * [simplify]: Simplified to (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))) 93.604 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 93.605 * * * * [progress]: [ 131 / 307 ] simplifiying candidate # 93.605 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 93.605 * * [simplify]: iters left: 6 (16 enodes) 93.610 * * [simplify]: iters left: 5 (71 enodes) 93.628 * * [simplify]: iters left: 4 (139 enodes) 93.666 * * [simplify]: iters left: 3 (322 enodes) 93.817 * * [simplify]: Extracting #0: cost 1 inf + 0 93.817 * * [simplify]: Extracting #1: cost 29 inf + 0 93.818 * * [simplify]: Extracting #2: cost 130 inf + 1 93.818 * * [simplify]: Extracting #3: cost 228 inf + 74 93.820 * * [simplify]: Extracting #4: cost 227 inf + 4977 93.832 * * [simplify]: Extracting #5: cost 50 inf + 43937 93.859 * * [simplify]: Extracting #6: cost 1 inf + 57445 93.874 * * [simplify]: Extracting #7: cost 0 inf + 57678 93.886 * [simplify]: Simplified to (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))) 93.886 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 93.886 * * * * [progress]: [ 132 / 307 ] simplifiying candidate # 93.886 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 93.886 * * [simplify]: iters left: 6 (16 enodes) 93.891 * * [simplify]: iters left: 5 (70 enodes) 93.906 * * [simplify]: iters left: 4 (131 enodes) 93.933 * * [simplify]: iters left: 3 (293 enodes) 94.073 * * [simplify]: Extracting #0: cost 1 inf + 0 94.073 * * [simplify]: Extracting #1: cost 37 inf + 0 94.074 * * [simplify]: Extracting #2: cost 180 inf + 1 94.076 * * [simplify]: Extracting #3: cost 289 inf + 3 94.080 * * [simplify]: Extracting #4: cost 254 inf + 8924 94.096 * * [simplify]: Extracting #5: cost 66 inf + 52651 94.116 * * [simplify]: Extracting #6: cost 1 inf + 72459 94.129 * * [simplify]: Extracting #7: cost 0 inf + 72715 94.145 * * [simplify]: Extracting #8: cost 0 inf + 72352 94.171 * [simplify]: Simplified to (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))) 94.171 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))))) 94.171 * * * * [progress]: [ 133 / 307 ] simplifiying candidate # 94.171 * [simplify]: Simplifying (- 0 (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 94.171 * * [simplify]: iters left: 6 (15 enodes) 94.180 * * [simplify]: iters left: 5 (64 enodes) 94.201 * * [simplify]: iters left: 4 (109 enodes) 94.221 * * [simplify]: iters left: 3 (203 enodes) 94.282 * * [simplify]: Extracting #0: cost 1 inf + 0 94.282 * * [simplify]: Extracting #1: cost 13 inf + 0 94.282 * * [simplify]: Extracting #2: cost 106 inf + 1 94.283 * * [simplify]: Extracting #3: cost 177 inf + 3 94.283 * * [simplify]: Extracting #4: cost 197 inf + 357 94.285 * * [simplify]: Extracting #5: cost 157 inf + 7680 94.289 * * [simplify]: Extracting #6: cost 41 inf + 37099 94.298 * * [simplify]: Extracting #7: cost 1 inf + 49905 94.306 * * [simplify]: Extracting #8: cost 0 inf + 49480 94.319 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))) 94.319 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))) 94.319 * * * * [progress]: [ 134 / 307 ] simplifiying candidate # 94.320 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 94.320 * * [simplify]: iters left: 6 (18 enodes) 94.329 * * [simplify]: iters left: 5 (75 enodes) 94.357 * * [simplify]: iters left: 4 (135 enodes) 94.417 * * [simplify]: iters left: 3 (416 enodes) 94.613 * * [simplify]: Extracting #0: cost 1 inf + 0 94.613 * * [simplify]: Extracting #1: cost 49 inf + 0 94.614 * * [simplify]: Extracting #2: cost 186 inf + 1 94.616 * * [simplify]: Extracting #3: cost 294 inf + 74 94.621 * * [simplify]: Extracting #4: cost 269 inf + 13152 94.646 * * [simplify]: Extracting #5: cost 38 inf + 80494 94.685 * * [simplify]: Extracting #6: cost 0 inf + 93654 94.720 * [simplify]: Simplified to (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)) (log (sqrt k))) 94.720 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 94.720 * * * * [progress]: [ 135 / 307 ] simplifiying candidate # 94.720 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 94.721 * * [simplify]: iters left: 6 (17 enodes) 94.730 * * [simplify]: iters left: 5 (73 enodes) 94.754 * * [simplify]: iters left: 4 (128 enodes) 94.793 * * [simplify]: iters left: 3 (343 enodes) 94.938 * * [simplify]: Extracting #0: cost 1 inf + 0 94.938 * * [simplify]: Extracting #1: cost 39 inf + 0 94.938 * * [simplify]: Extracting #2: cost 158 inf + 1 94.939 * * [simplify]: Extracting #3: cost 261 inf + 3 94.941 * * [simplify]: Extracting #4: cost 269 inf + 2504 94.946 * * [simplify]: Extracting #5: cost 122 inf + 37804 94.965 * * [simplify]: Extracting #6: cost 6 inf + 73327 94.994 * * [simplify]: Extracting #7: cost 0 inf + 74608 95.008 * [simplify]: Simplified to (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))) 95.008 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))))) 95.008 * * * * [progress]: [ 136 / 307 ] simplifiying candidate # 95.009 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 95.009 * * [simplify]: iters left: 6 (16 enodes) 95.014 * * [simplify]: iters left: 5 (72 enodes) 95.028 * * [simplify]: iters left: 4 (135 enodes) 95.065 * * [simplify]: iters left: 3 (316 enodes) 95.185 * * [simplify]: Extracting #0: cost 1 inf + 0 95.185 * * [simplify]: Extracting #1: cost 29 inf + 0 95.186 * * [simplify]: Extracting #2: cost 128 inf + 1 95.187 * * [simplify]: Extracting #3: cost 226 inf + 74 95.190 * * [simplify]: Extracting #4: cost 218 inf + 6838 95.204 * * [simplify]: Extracting #5: cost 57 inf + 42922 95.227 * * [simplify]: Extracting #6: cost 0 inf + 57620 95.250 * * [simplify]: Extracting #7: cost 0 inf + 57470 95.274 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 95.274 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 95.274 * * * * [progress]: [ 137 / 307 ] simplifiying candidate # 95.274 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 95.275 * * [simplify]: iters left: 6 (16 enodes) 95.284 * * [simplify]: iters left: 5 (72 enodes) 95.312 * * [simplify]: iters left: 4 (135 enodes) 95.362 * * [simplify]: iters left: 3 (316 enodes) 95.501 * * [simplify]: Extracting #0: cost 1 inf + 0 95.502 * * [simplify]: Extracting #1: cost 29 inf + 0 95.502 * * [simplify]: Extracting #2: cost 128 inf + 1 95.504 * * [simplify]: Extracting #3: cost 226 inf + 74 95.507 * * [simplify]: Extracting #4: cost 218 inf + 6838 95.519 * * [simplify]: Extracting #5: cost 57 inf + 42922 95.534 * * [simplify]: Extracting #6: cost 0 inf + 57620 95.545 * * [simplify]: Extracting #7: cost 0 inf + 57470 95.568 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 95.568 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 95.568 * * * * [progress]: [ 138 / 307 ] simplifiying candidate # 95.568 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 95.569 * * [simplify]: iters left: 6 (16 enodes) 95.578 * * [simplify]: iters left: 5 (71 enodes) 95.598 * * [simplify]: iters left: 4 (127 enodes) 95.622 * * [simplify]: iters left: 3 (288 enodes) 95.743 * * [simplify]: Extracting #0: cost 1 inf + 0 95.743 * * [simplify]: Extracting #1: cost 34 inf + 0 95.744 * * [simplify]: Extracting #2: cost 175 inf + 1 95.745 * * [simplify]: Extracting #3: cost 284 inf + 3 95.749 * * [simplify]: Extracting #4: cost 248 inf + 7709 95.764 * * [simplify]: Extracting #5: cost 67 inf + 53354 95.790 * * [simplify]: Extracting #6: cost 1 inf + 72316 95.815 * * [simplify]: Extracting #7: cost 0 inf + 70972 95.841 * * [simplify]: Extracting #8: cost 0 inf + 70812 95.859 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* (* n 2) PI)))) (log (sqrt k))) 95.860 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* (* n 2) PI)))) (log (sqrt k))))) 95.860 * * * * [progress]: [ 139 / 307 ] simplifiying candidate # 95.860 * [simplify]: Simplifying (- (log 1) (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 95.860 * * [simplify]: iters left: 6 (15 enodes) 95.864 * * [simplify]: iters left: 5 (65 enodes) 95.875 * * [simplify]: iters left: 4 (104 enodes) 95.902 * * [simplify]: iters left: 3 (191 enodes) 95.947 * * [simplify]: Extracting #0: cost 1 inf + 0 95.947 * * [simplify]: Extracting #1: cost 7 inf + 0 95.947 * * [simplify]: Extracting #2: cost 80 inf + 1 95.948 * * [simplify]: Extracting #3: cost 157 inf + 3 95.949 * * [simplify]: Extracting #4: cost 191 inf + 244 95.953 * * [simplify]: Extracting #5: cost 135 inf + 10412 95.958 * * [simplify]: Extracting #6: cost 36 inf + 32461 95.965 * * [simplify]: Extracting #7: cost 6 inf + 43214 95.972 * * [simplify]: Extracting #8: cost 0 inf + 46623 95.979 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* 2 PI) n))))) 95.979 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* 2 PI) n))))))) 95.980 * * * * [progress]: [ 140 / 307 ] simplifiying candidate # 95.980 * * * * [progress]: [ 141 / 307 ] simplifiying candidate # 95.980 * * * * [progress]: [ 142 / 307 ] simplifiying candidate # 95.980 * [simplify]: Simplifying (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 95.980 * * [simplify]: iters left: 6 (19 enodes) 95.989 * * [simplify]: iters left: 5 (79 enodes) 96.005 * * [simplify]: iters left: 4 (195 enodes) 96.065 * * [simplify]: Extracting #0: cost 1 inf + 0 96.065 * * [simplify]: Extracting #1: cost 50 inf + 0 96.066 * * [simplify]: Extracting #2: cost 125 inf + 124 96.067 * * [simplify]: Extracting #3: cost 159 inf + 617 96.069 * * [simplify]: Extracting #4: cost 159 inf + 955 96.076 * * [simplify]: Extracting #5: cost 87 inf + 28563 96.096 * * [simplify]: Extracting #6: cost 14 inf + 69758 96.120 * * [simplify]: Extracting #7: cost 0 inf + 79678 96.144 * [simplify]: Simplified to (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* k (sqrt k))) 96.144 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* k (sqrt k))))) 96.144 * * * * [progress]: [ 143 / 307 ] simplifiying candidate # 96.144 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 96.145 * * [simplify]: iters left: 6 (17 enodes) 96.152 * * [simplify]: iters left: 5 (74 enodes) 96.168 * * [simplify]: iters left: 4 (166 enodes) 96.231 * * [simplify]: iters left: 3 (448 enodes) 96.633 * * [simplify]: Extracting #0: cost 1 inf + 0 96.633 * * [simplify]: Extracting #1: cost 70 inf + 0 96.635 * * [simplify]: Extracting #2: cost 345 inf + 1 96.639 * * [simplify]: Extracting #3: cost 425 inf + 331 96.646 * * [simplify]: Extracting #4: cost 343 inf + 37653 96.669 * * [simplify]: Extracting #5: cost 156 inf + 150291 96.723 * * [simplify]: Extracting #6: cost 15 inf + 270876 96.798 * * [simplify]: Extracting #7: cost 0 inf + 280387 96.861 * * [simplify]: Extracting #8: cost 0 inf + 278795 96.923 * * [simplify]: Extracting #9: cost 0 inf + 278282 96.996 * [simplify]: Simplified to (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 96.997 * [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)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))) 96.997 * * * * [progress]: [ 144 / 307 ] simplifiying candidate # 96.997 * * * * [progress]: [ 145 / 307 ] simplifiying candidate # 96.997 * * * * [progress]: [ 146 / 307 ] simplifiying candidate # 96.997 * * * * [progress]: [ 147 / 307 ] simplifiying candidate # 96.997 * * * * [progress]: [ 148 / 307 ] simplifiying candidate # 96.997 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 96.998 * * [simplify]: iters left: 6 (17 enodes) 97.010 * * [simplify]: iters left: 5 (72 enodes) 97.034 * * [simplify]: iters left: 4 (117 enodes) 97.061 * * [simplify]: iters left: 3 (190 enodes) 97.116 * * [simplify]: iters left: 2 (287 enodes) 97.203 * * [simplify]: iters left: 1 (450 enodes) 97.344 * * [simplify]: Extracting #0: cost 1 inf + 0 97.344 * * [simplify]: Extracting #1: cost 6 inf + 0 97.344 * * [simplify]: Extracting #2: cost 9 inf + 1 97.344 * * [simplify]: Extracting #3: cost 14 inf + 1 97.345 * * [simplify]: Extracting #4: cost 44 inf + 1 97.345 * * [simplify]: Extracting #5: cost 126 inf + 85 97.351 * * [simplify]: Extracting #6: cost 171 inf + 1211 97.357 * * [simplify]: Extracting #7: cost 104 inf + 13747 97.371 * * [simplify]: Extracting #8: cost 36 inf + 44352 97.393 * * [simplify]: Extracting #9: cost 1 inf + 73954 97.404 * * [simplify]: Extracting #10: cost 0 inf + 73871 97.416 * * [simplify]: Extracting #11: cost 0 inf + 73830 97.428 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))))) 97.428 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 97.429 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 97.429 * * [simplify]: iters left: 6 (15 enodes) 97.437 * * [simplify]: iters left: 5 (60 enodes) 97.455 * * [simplify]: iters left: 4 (91 enodes) 97.471 * * [simplify]: iters left: 3 (133 enodes) 97.500 * * [simplify]: iters left: 2 (225 enodes) 97.545 * * [simplify]: iters left: 1 (396 enodes) 97.683 * * [simplify]: Extracting #0: cost 1 inf + 0 97.683 * * [simplify]: Extracting #1: cost 4 inf + 0 97.683 * * [simplify]: Extracting #2: cost 5 inf + 1 97.683 * * [simplify]: Extracting #3: cost 10 inf + 1 97.683 * * [simplify]: Extracting #4: cost 43 inf + 1 97.684 * * [simplify]: Extracting #5: cost 124 inf + 85 97.685 * * [simplify]: Extracting #6: cost 173 inf + 632 97.690 * * [simplify]: Extracting #7: cost 110 inf + 14333 97.710 * * [simplify]: Extracting #8: cost 21 inf + 55453 97.737 * * [simplify]: Extracting #9: cost 0 inf + 69192 97.765 * * [simplify]: Extracting #10: cost 0 inf + 68268 97.787 * * [simplify]: Extracting #11: cost 0 inf + 68227 97.800 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 97.801 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 97.801 * * * * [progress]: [ 149 / 307 ] simplifiying candidate # 97.801 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 97.801 * * [simplify]: iters left: 6 (16 enodes) 97.806 * * [simplify]: iters left: 5 (65 enodes) 97.819 * * [simplify]: iters left: 4 (96 enodes) 97.845 * * [simplify]: iters left: 3 (138 enodes) 97.869 * * [simplify]: iters left: 2 (230 enodes) 97.939 * * [simplify]: iters left: 1 (401 enodes) 98.123 * * [simplify]: Extracting #0: cost 1 inf + 0 98.123 * * [simplify]: Extracting #1: cost 4 inf + 0 98.123 * * [simplify]: Extracting #2: cost 5 inf + 1 98.123 * * [simplify]: Extracting #3: cost 10 inf + 1 98.123 * * [simplify]: Extracting #4: cost 39 inf + 1 98.124 * * [simplify]: Extracting #5: cost 117 inf + 85 98.125 * * [simplify]: Extracting #6: cost 157 inf + 676 98.131 * * [simplify]: Extracting #7: cost 85 inf + 21017 98.144 * * [simplify]: Extracting #8: cost 32 inf + 43147 98.165 * * [simplify]: Extracting #9: cost 0 inf + 70769 98.187 * * [simplify]: Extracting #10: cost 0 inf + 67837 98.209 * * [simplify]: Extracting #11: cost 0 inf + 67797 98.226 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 98.226 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 98.227 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 98.227 * * [simplify]: iters left: 6 (15 enodes) 98.231 * * [simplify]: iters left: 5 (60 enodes) 98.240 * * [simplify]: iters left: 4 (91 enodes) 98.257 * * [simplify]: iters left: 3 (133 enodes) 98.280 * * [simplify]: iters left: 2 (225 enodes) 98.320 * * [simplify]: iters left: 1 (396 enodes) 98.469 * * [simplify]: Extracting #0: cost 1 inf + 0 98.469 * * [simplify]: Extracting #1: cost 4 inf + 0 98.469 * * [simplify]: Extracting #2: cost 5 inf + 1 98.469 * * [simplify]: Extracting #3: cost 10 inf + 1 98.469 * * [simplify]: Extracting #4: cost 43 inf + 1 98.470 * * [simplify]: Extracting #5: cost 124 inf + 85 98.471 * * [simplify]: Extracting #6: cost 173 inf + 632 98.476 * * [simplify]: Extracting #7: cost 110 inf + 14333 98.496 * * [simplify]: Extracting #8: cost 21 inf + 55333 98.522 * * [simplify]: Extracting #9: cost 0 inf + 69032 98.549 * * [simplify]: Extracting #10: cost 0 inf + 68108 98.581 * * [simplify]: Extracting #11: cost 0 inf + 68067 98.608 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 98.608 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 98.608 * * * * [progress]: [ 150 / 307 ] simplifiying candidate # 98.609 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 98.609 * * [simplify]: iters left: 6 (14 enodes) 98.618 * * [simplify]: iters left: 5 (59 enodes) 98.641 * * [simplify]: iters left: 4 (105 enodes) 98.660 * * [simplify]: iters left: 3 (212 enodes) 98.738 * * [simplify]: Extracting #0: cost 1 inf + 0 98.738 * * [simplify]: Extracting #1: cost 42 inf + 0 98.738 * * [simplify]: Extracting #2: cost 117 inf + 1 98.739 * * [simplify]: Extracting #3: cost 145 inf + 3 98.739 * * [simplify]: Extracting #4: cost 137 inf + 739 98.741 * * [simplify]: Extracting #5: cost 79 inf + 14616 98.747 * * [simplify]: Extracting #6: cost 18 inf + 44395 98.755 * * [simplify]: Extracting #7: cost 0 inf + 57179 98.762 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 98.762 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 98.763 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 98.763 * * [simplify]: iters left: 6 (13 enodes) 98.770 * * [simplify]: iters left: 5 (53 enodes) 98.787 * * [simplify]: iters left: 4 (89 enodes) 98.816 * * [simplify]: iters left: 3 (146 enodes) 98.849 * * [simplify]: iters left: 2 (298 enodes) 98.987 * * [simplify]: Extracting #0: cost 1 inf + 0 98.987 * * [simplify]: Extracting #1: cost 45 inf + 0 98.988 * * [simplify]: Extracting #2: cost 125 inf + 1 98.989 * * [simplify]: Extracting #3: cost 170 inf + 3 98.990 * * [simplify]: Extracting #4: cost 162 inf + 836 98.993 * * [simplify]: Extracting #5: cost 119 inf + 7078 99.003 * * [simplify]: Extracting #6: cost 55 inf + 42982 99.024 * * [simplify]: Extracting #7: cost 2 inf + 84384 99.047 * * [simplify]: Extracting #8: cost 0 inf + 84317 99.070 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 99.071 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 99.071 * * * * [progress]: [ 151 / 307 ] simplifiying candidate # 99.071 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 99.071 * * [simplify]: iters left: 6 (19 enodes) 99.082 * * [simplify]: iters left: 5 (82 enodes) 99.111 * * [simplify]: iters left: 4 (145 enodes) 99.160 * * [simplify]: iters left: 3 (243 enodes) 99.226 * * [simplify]: iters left: 2 (423 enodes) 99.370 * * [simplify]: Extracting #0: cost 1 inf + 0 99.371 * * [simplify]: Extracting #1: cost 18 inf + 0 99.371 * * [simplify]: Extracting #2: cost 33 inf + 1 99.371 * * [simplify]: Extracting #3: cost 47 inf + 1 99.371 * * [simplify]: Extracting #4: cost 88 inf + 286 99.372 * * [simplify]: Extracting #5: cost 107 inf + 2157 99.376 * * [simplify]: Extracting #6: cost 55 inf + 16550 99.382 * * [simplify]: Extracting #7: cost 3 inf + 39495 99.389 * * [simplify]: Extracting #8: cost 0 inf + 40137 99.397 * * [simplify]: Extracting #9: cost 0 inf + 39955 99.404 * [simplify]: Simplified to (* (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 99.404 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 99.404 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 99.404 * * [simplify]: iters left: 6 (16 enodes) 99.409 * * [simplify]: iters left: 5 (65 enodes) 99.419 * * [simplify]: iters left: 4 (101 enodes) 99.434 * * [simplify]: iters left: 3 (145 enodes) 99.465 * * [simplify]: iters left: 2 (246 enodes) 99.548 * * [simplify]: iters left: 1 (408 enodes) 99.672 * * [simplify]: Extracting #0: cost 1 inf + 0 99.672 * * [simplify]: Extracting #1: cost 7 inf + 0 99.672 * * [simplify]: Extracting #2: cost 12 inf + 1 99.672 * * [simplify]: Extracting #3: cost 37 inf + 1 99.673 * * [simplify]: Extracting #4: cost 101 inf + 327 99.674 * * [simplify]: Extracting #5: cost 133 inf + 2233 99.682 * * [simplify]: Extracting #6: cost 60 inf + 23765 99.698 * * [simplify]: Extracting #7: cost 7 inf + 56358 99.717 * * [simplify]: Extracting #8: cost 0 inf + 61078 99.737 * * [simplify]: Extracting #9: cost 0 inf + 60315 99.755 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 99.756 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 99.756 * * * * [progress]: [ 152 / 307 ] simplifiying candidate # 99.756 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 99.756 * * [simplify]: iters left: 6 (18 enodes) 99.766 * * [simplify]: iters left: 5 (75 enodes) 99.783 * * [simplify]: iters left: 4 (119 enodes) 99.804 * * [simplify]: iters left: 3 (198 enodes) 99.868 * * [simplify]: iters left: 2 (353 enodes) 99.942 * * [simplify]: Extracting #0: cost 1 inf + 0 99.943 * * [simplify]: Extracting #1: cost 15 inf + 0 99.943 * * [simplify]: Extracting #2: cost 26 inf + 1 99.943 * * [simplify]: Extracting #3: cost 45 inf + 1 99.944 * * [simplify]: Extracting #4: cost 94 inf + 650 99.945 * * [simplify]: Extracting #5: cost 104 inf + 1924 99.949 * * [simplify]: Extracting #6: cost 45 inf + 12806 99.958 * * [simplify]: Extracting #7: cost 10 inf + 27315 99.969 * * [simplify]: Extracting #8: cost 0 inf + 34481 99.982 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 99.982 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 99.982 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 99.983 * * [simplify]: iters left: 6 (16 enodes) 99.991 * * [simplify]: iters left: 5 (65 enodes) 100.012 * * [simplify]: iters left: 4 (102 enodes) 100.043 * * [simplify]: iters left: 3 (146 enodes) 100.069 * * [simplify]: iters left: 2 (248 enodes) 100.141 * * [simplify]: iters left: 1 (404 enodes) 100.252 * * [simplify]: Extracting #0: cost 1 inf + 0 100.252 * * [simplify]: Extracting #1: cost 7 inf + 0 100.252 * * [simplify]: Extracting #2: cost 13 inf + 1 100.252 * * [simplify]: Extracting #3: cost 46 inf + 1 100.252 * * [simplify]: Extracting #4: cost 120 inf + 206 100.253 * * [simplify]: Extracting #5: cost 141 inf + 1322 100.257 * * [simplify]: Extracting #6: cost 90 inf + 9780 100.270 * * [simplify]: Extracting #7: cost 20 inf + 46969 100.288 * * [simplify]: Extracting #8: cost 0 inf + 63552 100.298 * * [simplify]: Extracting #9: cost 0 inf + 63474 100.309 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) 100.309 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 100.309 * * * * [progress]: [ 153 / 307 ] simplifiying candidate # 100.309 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 100.309 * * [simplify]: iters left: 6 (9 enodes) 100.312 * * [simplify]: iters left: 5 (33 enodes) 100.319 * * [simplify]: iters left: 4 (60 enodes) 100.329 * * [simplify]: iters left: 3 (102 enodes) 100.359 * * [simplify]: iters left: 2 (105 enodes) 100.373 * * [simplify]: Extracting #0: cost 1 inf + 0 100.374 * * [simplify]: Extracting #1: cost 6 inf + 0 100.374 * * [simplify]: Extracting #2: cost 9 inf + 1 100.374 * * [simplify]: Extracting #3: cost 11 inf + 1 100.374 * * [simplify]: Extracting #4: cost 2 inf + 1053 100.375 * * [simplify]: Extracting #5: cost 0 inf + 1376 100.375 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 100.375 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 100.376 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 100.376 * * [simplify]: iters left: 6 (15 enodes) 100.382 * * [simplify]: iters left: 5 (62 enodes) 100.394 * * [simplify]: iters left: 4 (102 enodes) 100.414 * * [simplify]: iters left: 3 (166 enodes) 100.483 * * [simplify]: iters left: 2 (338 enodes) 100.606 * * [simplify]: Extracting #0: cost 1 inf + 0 100.606 * * [simplify]: Extracting #1: cost 57 inf + 0 100.606 * * [simplify]: Extracting #2: cost 141 inf + 1 100.607 * * [simplify]: Extracting #3: cost 188 inf + 3 100.608 * * [simplify]: Extracting #4: cost 165 inf + 4227 100.610 * * [simplify]: Extracting #5: cost 124 inf + 14196 100.626 * * [simplify]: Extracting #6: cost 26 inf + 77548 100.649 * * [simplify]: Extracting #7: cost 1 inf + 96382 100.663 * * [simplify]: Extracting #8: cost 0 inf + 96998 100.679 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 100.679 * [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))))) 100.679 * * * * [progress]: [ 154 / 307 ] simplifiying candidate # 100.680 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 100.680 * * [simplify]: iters left: 6 (18 enodes) 100.691 * * [simplify]: iters left: 5 (78 enodes) 100.717 * * [simplify]: iters left: 4 (135 enodes) 100.741 * * [simplify]: iters left: 3 (266 enodes) 100.841 * * [simplify]: Extracting #0: cost 1 inf + 0 100.841 * * [simplify]: Extracting #1: cost 43 inf + 0 100.841 * * [simplify]: Extracting #2: cost 117 inf + 1 100.842 * * [simplify]: Extracting #3: cost 161 inf + 2 100.844 * * [simplify]: Extracting #4: cost 163 inf + 539 100.846 * * [simplify]: Extracting #5: cost 119 inf + 4966 100.851 * * [simplify]: Extracting #6: cost 71 inf + 18367 100.865 * * [simplify]: Extracting #7: cost 16 inf + 53120 100.885 * * [simplify]: Extracting #8: cost 0 inf + 65353 100.897 * [simplify]: Simplified to (/ (pow (* 2 (* PI n)) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 100.897 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 (* PI n)) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 100.898 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 100.898 * * [simplify]: iters left: 6 (16 enodes) 100.903 * * [simplify]: iters left: 5 (68 enodes) 100.914 * * [simplify]: iters left: 4 (115 enodes) 100.936 * * [simplify]: iters left: 3 (196 enodes) 101.019 * * [simplify]: iters left: 2 (402 enodes) 101.143 * * [simplify]: Extracting #0: cost 1 inf + 0 101.143 * * [simplify]: Extracting #1: cost 47 inf + 0 101.144 * * [simplify]: Extracting #2: cost 129 inf + 1 101.144 * * [simplify]: Extracting #3: cost 189 inf + 3 101.145 * * [simplify]: Extracting #4: cost 183 inf + 1378 101.147 * * [simplify]: Extracting #5: cost 129 inf + 14919 101.159 * * [simplify]: Extracting #6: cost 26 inf + 73275 101.172 * * [simplify]: Extracting #7: cost 0 inf + 92628 101.192 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 101.192 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 101.192 * * * * [progress]: [ 155 / 307 ] simplifiying candidate # 101.192 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 101.192 * * [simplify]: iters left: 6 (14 enodes) 101.197 * * [simplify]: iters left: 5 (58 enodes) 101.206 * * [simplify]: iters left: 4 (90 enodes) 101.222 * * [simplify]: iters left: 3 (150 enodes) 101.265 * * [simplify]: iters left: 2 (312 enodes) 101.377 * * [simplify]: Extracting #0: cost 1 inf + 0 101.378 * * [simplify]: Extracting #1: cost 47 inf + 0 101.378 * * [simplify]: Extracting #2: cost 129 inf + 1 101.379 * * [simplify]: Extracting #3: cost 178 inf + 4 101.379 * * [simplify]: Extracting #4: cost 176 inf + 581 101.381 * * [simplify]: Extracting #5: cost 127 inf + 10862 101.387 * * [simplify]: Extracting #6: cost 44 inf + 53627 101.397 * * [simplify]: Extracting #7: cost 0 inf + 86681 101.408 * * [simplify]: Extracting #8: cost 0 inf + 85633 101.419 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 101.419 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 101.419 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 101.419 * * [simplify]: iters left: 6 (13 enodes) 101.423 * * [simplify]: iters left: 5 (53 enodes) 101.437 * * [simplify]: iters left: 4 (89 enodes) 101.462 * * [simplify]: iters left: 3 (146 enodes) 101.510 * * [simplify]: iters left: 2 (298 enodes) 101.626 * * [simplify]: Extracting #0: cost 1 inf + 0 101.627 * * [simplify]: Extracting #1: cost 45 inf + 0 101.627 * * [simplify]: Extracting #2: cost 125 inf + 1 101.628 * * [simplify]: Extracting #3: cost 170 inf + 3 101.630 * * [simplify]: Extracting #4: cost 162 inf + 876 101.631 * * [simplify]: Extracting #5: cost 119 inf + 7158 101.636 * * [simplify]: Extracting #6: cost 55 inf + 43062 101.647 * * [simplify]: Extracting #7: cost 2 inf + 84464 101.659 * * [simplify]: Extracting #8: cost 0 inf + 84397 101.672 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 101.672 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 101.672 * * * * [progress]: [ 156 / 307 ] simplifiying candidate # 101.672 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 101.672 * * [simplify]: iters left: 6 (19 enodes) 101.678 * * [simplify]: iters left: 5 (79 enodes) 101.701 * * [simplify]: iters left: 4 (117 enodes) 101.740 * * [simplify]: iters left: 3 (174 enodes) 101.798 * * [simplify]: iters left: 2 (280 enodes) 101.863 * * [simplify]: iters left: 1 (444 enodes) 101.987 * * [simplify]: Extracting #0: cost 1 inf + 0 101.987 * * [simplify]: Extracting #1: cost 10 inf + 0 101.987 * * [simplify]: Extracting #2: cost 19 inf + 1 101.987 * * [simplify]: Extracting #3: cost 45 inf + 1 101.988 * * [simplify]: Extracting #4: cost 110 inf + 407 101.989 * * [simplify]: Extracting #5: cost 165 inf + 949 101.992 * * [simplify]: Extracting #6: cost 99 inf + 11329 102.001 * * [simplify]: Extracting #7: cost 39 inf + 31094 102.022 * * [simplify]: Extracting #8: cost 8 inf + 56603 102.041 * * [simplify]: Extracting #9: cost 0 inf + 63385 102.060 * * [simplify]: Extracting #10: cost 0 inf + 62807 102.080 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k))))) (fabs (cbrt k))) 102.080 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k))))) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 102.080 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 102.080 * * [simplify]: iters left: 6 (16 enodes) 102.088 * * [simplify]: iters left: 5 (65 enodes) 102.099 * * [simplify]: iters left: 4 (101 enodes) 102.115 * * [simplify]: iters left: 3 (145 enodes) 102.151 * * [simplify]: iters left: 2 (246 enodes) 102.201 * * [simplify]: iters left: 1 (408 enodes) 102.333 * * [simplify]: Extracting #0: cost 1 inf + 0 102.333 * * [simplify]: Extracting #1: cost 7 inf + 0 102.334 * * [simplify]: Extracting #2: cost 12 inf + 1 102.334 * * [simplify]: Extracting #3: cost 37 inf + 1 102.334 * * [simplify]: Extracting #4: cost 101 inf + 407 102.335 * * [simplify]: Extracting #5: cost 133 inf + 2313 102.339 * * [simplify]: Extracting #6: cost 60 inf + 23845 102.352 * * [simplify]: Extracting #7: cost 7 inf + 56438 102.371 * * [simplify]: Extracting #8: cost 0 inf + 61158 102.382 * * [simplify]: Extracting #9: cost 0 inf + 60395 102.391 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 102.391 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 102.391 * * * * [progress]: [ 157 / 307 ] simplifiying candidate # 102.392 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 102.392 * * [simplify]: iters left: 6 (18 enodes) 102.397 * * [simplify]: iters left: 5 (74 enodes) 102.413 * * [simplify]: iters left: 4 (111 enodes) 102.430 * * [simplify]: iters left: 3 (160 enodes) 102.462 * * [simplify]: iters left: 2 (258 enodes) 102.543 * * [simplify]: iters left: 1 (426 enodes) 102.686 * * [simplify]: Extracting #0: cost 1 inf + 0 102.686 * * [simplify]: Extracting #1: cost 7 inf + 0 102.686 * * [simplify]: Extracting #2: cost 14 inf + 1 102.686 * * [simplify]: Extracting #3: cost 40 inf + 1 102.687 * * [simplify]: Extracting #4: cost 121 inf + 205 102.688 * * [simplify]: Extracting #5: cost 157 inf + 621 102.691 * * [simplify]: Extracting #6: cost 100 inf + 7496 102.698 * * [simplify]: Extracting #7: cost 44 inf + 29917 102.707 * * [simplify]: Extracting #8: cost 7 inf + 56668 102.716 * * [simplify]: Extracting #9: cost 0 inf + 61806 102.735 * [simplify]: Simplified to (/ (fabs (pow (* (* n 2) PI) (- 1/4 (/ k 4)))) (fabs (cbrt k))) 102.735 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (fabs (pow (* (* n 2) PI) (- 1/4 (/ k 4)))) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 102.735 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 102.736 * * [simplify]: iters left: 6 (16 enodes) 102.744 * * [simplify]: iters left: 5 (65 enodes) 102.754 * * [simplify]: iters left: 4 (102 enodes) 102.776 * * [simplify]: iters left: 3 (146 enodes) 102.805 * * [simplify]: iters left: 2 (248 enodes) 102.863 * * [simplify]: iters left: 1 (404 enodes) 102.984 * * [simplify]: Extracting #0: cost 1 inf + 0 102.984 * * [simplify]: Extracting #1: cost 7 inf + 0 102.984 * * [simplify]: Extracting #2: cost 13 inf + 1 102.985 * * [simplify]: Extracting #3: cost 46 inf + 1 102.985 * * [simplify]: Extracting #4: cost 120 inf + 286 102.987 * * [simplify]: Extracting #5: cost 141 inf + 1402 102.991 * * [simplify]: Extracting #6: cost 90 inf + 9860 103.005 * * [simplify]: Extracting #7: cost 20 inf + 47049 103.024 * * [simplify]: Extracting #8: cost 0 inf + 63632 103.044 * * [simplify]: Extracting #9: cost 0 inf + 63554 103.063 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))) 103.063 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 103.064 * * * * [progress]: [ 158 / 307 ] simplifiying candidate # 103.064 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 103.064 * * [simplify]: iters left: 6 (9 enodes) 103.070 * * [simplify]: iters left: 5 (31 enodes) 103.080 * * [simplify]: iters left: 4 (34 enodes) 103.086 * * [simplify]: Extracting #0: cost 1 inf + 0 103.086 * * [simplify]: Extracting #1: cost 4 inf + 0 103.086 * * [simplify]: Extracting #2: cost 6 inf + 1 103.086 * * [simplify]: Extracting #3: cost 9 inf + 1 103.086 * * [simplify]: Extracting #4: cost 0 inf + 972 103.086 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 103.086 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 103.086 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 103.086 * * [simplify]: iters left: 6 (15 enodes) 103.091 * * [simplify]: iters left: 5 (62 enodes) 103.102 * * [simplify]: iters left: 4 (102 enodes) 103.130 * * [simplify]: iters left: 3 (166 enodes) 103.173 * * [simplify]: iters left: 2 (338 enodes) 103.320 * * [simplify]: Extracting #0: cost 1 inf + 0 103.320 * * [simplify]: Extracting #1: cost 57 inf + 0 103.321 * * [simplify]: Extracting #2: cost 141 inf + 1 103.321 * * [simplify]: Extracting #3: cost 188 inf + 3 103.323 * * [simplify]: Extracting #4: cost 165 inf + 4307 103.325 * * [simplify]: Extracting #5: cost 124 inf + 14276 103.343 * * [simplify]: Extracting #6: cost 26 inf + 77628 103.362 * * [simplify]: Extracting #7: cost 1 inf + 96462 103.375 * * [simplify]: Extracting #8: cost 0 inf + 97078 103.388 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 103.388 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 103.388 * * * * [progress]: [ 159 / 307 ] simplifiying candidate # 103.389 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 103.389 * * [simplify]: iters left: 6 (18 enodes) 103.394 * * [simplify]: iters left: 5 (77 enodes) 103.418 * * [simplify]: iters left: 4 (121 enodes) 103.438 * * [simplify]: iters left: 3 (197 enodes) 103.476 * * [simplify]: iters left: 2 (377 enodes) 103.594 * * [simplify]: Extracting #0: cost 1 inf + 0 103.594 * * [simplify]: Extracting #1: cost 48 inf + 0 103.594 * * [simplify]: Extracting #2: cost 132 inf + 1 103.595 * * [simplify]: Extracting #3: cost 196 inf + 3 103.596 * * [simplify]: Extracting #4: cost 185 inf + 3235 103.601 * * [simplify]: Extracting #5: cost 108 inf + 25362 103.612 * * [simplify]: Extracting #6: cost 21 inf + 83233 103.639 * * [simplify]: Extracting #7: cost 0 inf + 100146 103.667 * * [simplify]: Extracting #8: cost 0 inf + 99462 103.685 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (fabs (cbrt k))) 103.685 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 103.685 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 103.685 * * [simplify]: iters left: 6 (16 enodes) 103.690 * * [simplify]: iters left: 5 (68 enodes) 103.701 * * [simplify]: iters left: 4 (115 enodes) 103.730 * * [simplify]: iters left: 3 (196 enodes) 103.798 * * [simplify]: iters left: 2 (402 enodes) 103.964 * * [simplify]: Extracting #0: cost 1 inf + 0 103.964 * * [simplify]: Extracting #1: cost 47 inf + 0 103.965 * * [simplify]: Extracting #2: cost 129 inf + 1 103.966 * * [simplify]: Extracting #3: cost 189 inf + 3 103.968 * * [simplify]: Extracting #4: cost 183 inf + 1458 103.972 * * [simplify]: Extracting #5: cost 129 inf + 14999 104.356 * * [simplify]: Extracting #6: cost 26 inf + 73355 104.382 * * [simplify]: Extracting #7: cost 0 inf + 92708 104.408 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 104.409 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 104.409 * * * * [progress]: [ 160 / 307 ] simplifiying candidate # 104.409 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 104.409 * * [simplify]: iters left: 6 (13 enodes) 104.418 * * [simplify]: iters left: 5 (54 enodes) 104.438 * * [simplify]: iters left: 4 (90 enodes) 104.468 * * [simplify]: iters left: 3 (152 enodes) 104.531 * * [simplify]: iters left: 2 (297 enodes) 104.674 * * [simplify]: Extracting #0: cost 1 inf + 0 104.674 * * [simplify]: Extracting #1: cost 46 inf + 0 104.674 * * [simplify]: Extracting #2: cost 127 inf + 1 104.675 * * [simplify]: Extracting #3: cost 168 inf + 4 104.675 * * [simplify]: Extracting #4: cost 167 inf + 379 104.677 * * [simplify]: Extracting #5: cost 130 inf + 5609 104.680 * * [simplify]: Extracting #6: cost 70 inf + 28183 104.689 * * [simplify]: Extracting #7: cost 6 inf + 71892 104.699 * * [simplify]: Extracting #8: cost 0 inf + 76311 104.717 * * [simplify]: Extracting #9: cost 0 inf + 75889 104.727 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 104.728 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 104.728 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 104.729 * * [simplify]: iters left: 6 (13 enodes) 104.733 * * [simplify]: iters left: 5 (53 enodes) 104.744 * * [simplify]: iters left: 4 (89 enodes) 104.771 * * [simplify]: iters left: 3 (146 enodes) 104.830 * * [simplify]: iters left: 2 (298 enodes) 104.946 * * [simplify]: Extracting #0: cost 1 inf + 0 104.947 * * [simplify]: Extracting #1: cost 45 inf + 0 104.947 * * [simplify]: Extracting #2: cost 125 inf + 1 104.948 * * [simplify]: Extracting #3: cost 170 inf + 3 104.948 * * [simplify]: Extracting #4: cost 162 inf + 756 104.950 * * [simplify]: Extracting #5: cost 119 inf + 6798 104.955 * * [simplify]: Extracting #6: cost 55 inf + 41462 104.966 * * [simplify]: Extracting #7: cost 2 inf + 81304 104.977 * * [simplify]: Extracting #8: cost 0 inf + 81157 104.989 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 104.989 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 104.989 * * * * [progress]: [ 161 / 307 ] simplifiying candidate # 104.989 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 104.989 * * [simplify]: iters left: 6 (18 enodes) 104.995 * * [simplify]: iters left: 5 (75 enodes) 105.008 * * [simplify]: iters left: 4 (113 enodes) 105.040 * * [simplify]: iters left: 3 (170 enodes) 105.073 * * [simplify]: iters left: 2 (279 enodes) 105.124 * * [simplify]: iters left: 1 (451 enodes) 105.249 * * [simplify]: Extracting #0: cost 1 inf + 0 105.249 * * [simplify]: Extracting #1: cost 10 inf + 0 105.250 * * [simplify]: Extracting #2: cost 18 inf + 1 105.250 * * [simplify]: Extracting #3: cost 44 inf + 1 105.250 * * [simplify]: Extracting #4: cost 111 inf + 247 105.252 * * [simplify]: Extracting #5: cost 157 inf + 913 105.256 * * [simplify]: Extracting #6: cost 90 inf + 12363 105.269 * * [simplify]: Extracting #7: cost 27 inf + 46066 105.289 * * [simplify]: Extracting #8: cost 0 inf + 67303 105.300 * * [simplify]: Extracting #9: cost 0 inf + 63743 105.322 * * [simplify]: Extracting #10: cost 0 inf + 62644 105.346 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 105.346 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 105.346 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 105.347 * * [simplify]: iters left: 6 (16 enodes) 105.356 * * [simplify]: iters left: 5 (65 enodes) 105.376 * * [simplify]: iters left: 4 (101 enodes) 105.406 * * [simplify]: iters left: 3 (145 enodes) 105.459 * * [simplify]: iters left: 2 (246 enodes) 105.530 * * [simplify]: iters left: 1 (408 enodes) 105.656 * * [simplify]: Extracting #0: cost 1 inf + 0 105.657 * * [simplify]: Extracting #1: cost 7 inf + 0 105.657 * * [simplify]: Extracting #2: cost 12 inf + 1 105.657 * * [simplify]: Extracting #3: cost 37 inf + 1 105.657 * * [simplify]: Extracting #4: cost 101 inf + 247 105.658 * * [simplify]: Extracting #5: cost 133 inf + 2073 105.662 * * [simplify]: Extracting #6: cost 60 inf + 23445 105.670 * * [simplify]: Extracting #7: cost 7 inf + 56038 105.685 * * [simplify]: Extracting #8: cost 0 inf + 60758 105.705 * * [simplify]: Extracting #9: cost 0 inf + 59995 105.725 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 105.725 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 105.725 * * * * [progress]: [ 162 / 307 ] simplifiying candidate # 105.725 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 105.725 * * [simplify]: iters left: 6 (17 enodes) 105.735 * * [simplify]: iters left: 5 (70 enodes) 105.749 * * [simplify]: iters left: 4 (107 enodes) 105.766 * * [simplify]: iters left: 3 (156 enodes) 105.809 * * [simplify]: iters left: 2 (251 enodes) 105.881 * * [simplify]: iters left: 1 (408 enodes) 105.998 * * [simplify]: Extracting #0: cost 1 inf + 0 105.998 * * [simplify]: Extracting #1: cost 7 inf + 0 105.998 * * [simplify]: Extracting #2: cost 13 inf + 1 105.998 * * [simplify]: Extracting #3: cost 39 inf + 1 105.999 * * [simplify]: Extracting #4: cost 113 inf + 166 105.999 * * [simplify]: Extracting #5: cost 146 inf + 667 106.001 * * [simplify]: Extracting #6: cost 105 inf + 4939 106.004 * * [simplify]: Extracting #7: cost 50 inf + 17968 106.018 * * [simplify]: Extracting #8: cost 8 inf + 50843 106.041 * * [simplify]: Extracting #9: cost 0 inf + 57618 106.060 * * [simplify]: Extracting #10: cost 0 inf + 56873 106.079 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 106.080 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 106.080 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 106.080 * * [simplify]: iters left: 6 (16 enodes) 106.089 * * [simplify]: iters left: 5 (65 enodes) 106.109 * * [simplify]: iters left: 4 (102 enodes) 106.139 * * [simplify]: iters left: 3 (146 enodes) 106.193 * * [simplify]: iters left: 2 (248 enodes) 106.255 * * [simplify]: iters left: 1 (404 enodes) 106.394 * * [simplify]: Extracting #0: cost 1 inf + 0 106.395 * * [simplify]: Extracting #1: cost 7 inf + 0 106.395 * * [simplify]: Extracting #2: cost 13 inf + 1 106.395 * * [simplify]: Extracting #3: cost 46 inf + 1 106.396 * * [simplify]: Extracting #4: cost 120 inf + 166 106.397 * * [simplify]: Extracting #5: cost 141 inf + 1162 106.405 * * [simplify]: Extracting #6: cost 90 inf + 9620 106.419 * * [simplify]: Extracting #7: cost 20 inf + 46689 106.438 * * [simplify]: Extracting #8: cost 0 inf + 63232 106.458 * * [simplify]: Extracting #9: cost 0 inf + 63154 106.477 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 106.477 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 106.477 * * * * [progress]: [ 163 / 307 ] simplifiying candidate # 106.478 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 106.478 * * [simplify]: iters left: 6 (8 enodes) 106.483 * * [simplify]: iters left: 5 (28 enodes) 106.492 * * [simplify]: iters left: 4 (30 enodes) 106.497 * * [simplify]: Extracting #0: cost 1 inf + 0 106.497 * * [simplify]: Extracting #1: cost 4 inf + 0 106.497 * * [simplify]: Extracting #2: cost 5 inf + 1 106.497 * * [simplify]: Extracting #3: cost 7 inf + 1 106.497 * * [simplify]: Extracting #4: cost 3 inf + 165 106.497 * * [simplify]: Extracting #5: cost 0 inf + 490 106.497 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 106.497 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 106.497 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 106.498 * * [simplify]: iters left: 6 (15 enodes) 106.503 * * [simplify]: iters left: 5 (62 enodes) 106.513 * * [simplify]: iters left: 4 (102 enodes) 106.533 * * [simplify]: iters left: 3 (166 enodes) 106.588 * * [simplify]: iters left: 2 (338 enodes) 106.704 * * [simplify]: Extracting #0: cost 1 inf + 0 106.704 * * [simplify]: Extracting #1: cost 57 inf + 0 106.704 * * [simplify]: Extracting #2: cost 141 inf + 1 106.705 * * [simplify]: Extracting #3: cost 188 inf + 3 106.706 * * [simplify]: Extracting #4: cost 165 inf + 4027 106.711 * * [simplify]: Extracting #5: cost 124 inf + 13636 106.729 * * [simplify]: Extracting #6: cost 26 inf + 74868 106.754 * * [simplify]: Extracting #7: cost 1 inf + 92982 106.781 * * [simplify]: Extracting #8: cost 0 inf + 93558 106.807 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 106.807 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 106.807 * * * * [progress]: [ 164 / 307 ] simplifiying candidate # 106.808 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 106.808 * * [simplify]: iters left: 6 (17 enodes) 106.818 * * [simplify]: iters left: 5 (73 enodes) 106.832 * * [simplify]: iters left: 4 (117 enodes) 106.853 * * [simplify]: iters left: 3 (193 enodes) 106.911 * * [simplify]: iters left: 2 (370 enodes) 107.012 * * [simplify]: Extracting #0: cost 1 inf + 0 107.013 * * [simplify]: Extracting #1: cost 50 inf + 0 107.013 * * [simplify]: Extracting #2: cost 139 inf + 1 107.014 * * [simplify]: Extracting #3: cost 199 inf + 3 107.015 * * [simplify]: Extracting #4: cost 188 inf + 3945 107.019 * * [simplify]: Extracting #5: cost 121 inf + 20967 107.030 * * [simplify]: Extracting #6: cost 25 inf + 83209 107.046 * * [simplify]: Extracting #7: cost 0 inf + 102013 107.070 * * [simplify]: Extracting #8: cost 0 inf + 101519 107.102 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 107.102 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 107.103 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 107.103 * * [simplify]: iters left: 6 (16 enodes) 107.112 * * [simplify]: iters left: 5 (68 enodes) 107.137 * * [simplify]: iters left: 4 (115 enodes) 107.160 * * [simplify]: iters left: 3 (196 enodes) 107.219 * * [simplify]: iters left: 2 (402 enodes) 107.431 * * [simplify]: Extracting #0: cost 1 inf + 0 107.431 * * [simplify]: Extracting #1: cost 47 inf + 0 107.432 * * [simplify]: Extracting #2: cost 129 inf + 1 107.433 * * [simplify]: Extracting #3: cost 189 inf + 3 107.435 * * [simplify]: Extracting #4: cost 183 inf + 1338 107.441 * * [simplify]: Extracting #5: cost 129 inf + 14559 107.459 * * [simplify]: Extracting #6: cost 26 inf + 70835 107.487 * * [simplify]: Extracting #7: cost 0 inf + 89548 107.519 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 107.519 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 107.520 * * * * [progress]: [ 165 / 307 ] simplifiying candidate # 107.520 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 107.520 * * [simplify]: iters left: 6 (12 enodes) 107.528 * * [simplify]: iters left: 5 (51 enodes) 107.537 * * [simplify]: iters left: 4 (82 enodes) 107.550 * * [simplify]: iters left: 3 (126 enodes) 107.585 * * [simplify]: iters left: 2 (229 enodes) 107.683 * * [simplify]: iters left: 1 (458 enodes) 107.991 * * [simplify]: Extracting #0: cost 1 inf + 0 107.991 * * [simplify]: Extracting #1: cost 36 inf + 0 107.992 * * [simplify]: Extracting #2: cost 144 inf + 3 107.993 * * [simplify]: Extracting #3: cost 196 inf + 8 107.995 * * [simplify]: Extracting #4: cost 173 inf + 3165 108.001 * * [simplify]: Extracting #5: cost 112 inf + 16086 108.013 * * [simplify]: Extracting #6: cost 17 inf + 79824 108.030 * * [simplify]: Extracting #7: cost 0 inf + 92274 108.052 * * [simplify]: Extracting #8: cost 0 inf + 89774 108.083 * * [simplify]: Extracting #9: cost 0 inf + 89432 108.113 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 108.113 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 108.113 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 108.114 * * [simplify]: iters left: 6 (12 enodes) 108.122 * * [simplify]: iters left: 5 (50 enodes) 108.139 * * [simplify]: iters left: 4 (86 enodes) 108.166 * * [simplify]: iters left: 3 (147 enodes) 108.217 * * [simplify]: iters left: 2 (300 enodes) 108.334 * * [simplify]: Extracting #0: cost 1 inf + 0 108.334 * * [simplify]: Extracting #1: cost 41 inf + 0 108.334 * * [simplify]: Extracting #2: cost 125 inf + 1 108.335 * * [simplify]: Extracting #3: cost 163 inf + 127 108.337 * * [simplify]: Extracting #4: cost 162 inf + 425 108.339 * * [simplify]: Extracting #5: cost 132 inf + 3989 108.347 * * [simplify]: Extracting #6: cost 68 inf + 31169 108.364 * * [simplify]: Extracting #7: cost 6 inf + 73091 108.388 * * [simplify]: Extracting #8: cost 0 inf + 74351 108.403 * * [simplify]: Extracting #9: cost 0 inf + 74220 108.413 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 108.413 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 108.413 * * * * [progress]: [ 166 / 307 ] simplifiying candidate # 108.413 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 108.413 * * [simplify]: iters left: 6 (17 enodes) 108.419 * * [simplify]: iters left: 5 (72 enodes) 108.432 * * [simplify]: iters left: 4 (112 enodes) 108.449 * * [simplify]: iters left: 3 (159 enodes) 108.492 * * [simplify]: iters left: 2 (250 enodes) 108.572 * * [simplify]: iters left: 1 (416 enodes) 108.722 * * [simplify]: Extracting #0: cost 1 inf + 0 108.722 * * [simplify]: Extracting #1: cost 7 inf + 0 108.722 * * [simplify]: Extracting #2: cost 10 inf + 1 108.722 * * [simplify]: Extracting #3: cost 34 inf + 1 108.722 * * [simplify]: Extracting #4: cost 101 inf + 2 108.723 * * [simplify]: Extracting #5: cost 158 inf + 176 108.724 * * [simplify]: Extracting #6: cost 156 inf + 394 108.725 * * [simplify]: Extracting #7: cost 118 inf + 3545 108.729 * * [simplify]: Extracting #8: cost 42 inf + 26423 108.738 * * [simplify]: Extracting #9: cost 4 inf + 56450 108.754 * * [simplify]: Extracting #10: cost 0 inf + 58363 108.775 * * [simplify]: Extracting #11: cost 0 inf + 57160 108.796 * [simplify]: Simplified to (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 108.796 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 108.796 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 108.797 * * [simplify]: iters left: 6 (15 enodes) 108.806 * * [simplify]: iters left: 5 (62 enodes) 108.826 * * [simplify]: iters left: 4 (98 enodes) 108.841 * * [simplify]: iters left: 3 (142 enodes) 108.874 * * [simplify]: iters left: 2 (243 enodes) 108.929 * * [simplify]: iters left: 1 (397 enodes) 109.032 * * [simplify]: Extracting #0: cost 1 inf + 0 109.032 * * [simplify]: Extracting #1: cost 7 inf + 0 109.032 * * [simplify]: Extracting #2: cost 12 inf + 1 109.032 * * [simplify]: Extracting #3: cost 32 inf + 166 109.033 * * [simplify]: Extracting #4: cost 99 inf + 249 109.034 * * [simplify]: Extracting #5: cost 136 inf + 963 109.036 * * [simplify]: Extracting #6: cost 84 inf + 11802 109.040 * * [simplify]: Extracting #7: cost 39 inf + 29194 109.055 * * [simplify]: Extracting #8: cost 3 inf + 58605 109.074 * * [simplify]: Extracting #9: cost 0 inf + 60363 109.096 * * [simplify]: Extracting #10: cost 0 inf + 60114 109.114 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 109.115 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 109.115 * * * * [progress]: [ 167 / 307 ] simplifiying candidate # 109.115 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 109.115 * * [simplify]: iters left: 6 (16 enodes) 109.126 * * [simplify]: iters left: 5 (67 enodes) 109.148 * * [simplify]: iters left: 4 (99 enodes) 109.163 * * [simplify]: iters left: 3 (137 enodes) 109.192 * * [simplify]: iters left: 2 (226 enodes) 109.241 * * [simplify]: iters left: 1 (383 enodes) 109.378 * * [simplify]: Extracting #0: cost 1 inf + 0 109.378 * * [simplify]: Extracting #1: cost 6 inf + 0 109.378 * * [simplify]: Extracting #2: cost 33 inf + 1 109.379 * * [simplify]: Extracting #3: cost 112 inf + 2 109.379 * * [simplify]: Extracting #4: cost 146 inf + 177 109.380 * * [simplify]: Extracting #5: cost 146 inf + 434 109.381 * * [simplify]: Extracting #6: cost 123 inf + 1967 109.386 * * [simplify]: Extracting #7: cost 41 inf + 30301 109.399 * * [simplify]: Extracting #8: cost 4 inf + 56970 109.414 * * [simplify]: Extracting #9: cost 0 inf + 59576 109.437 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) 109.437 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 109.437 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 109.438 * * [simplify]: iters left: 6 (15 enodes) 109.447 * * [simplify]: iters left: 5 (62 enodes) 109.466 * * [simplify]: iters left: 4 (99 enodes) 109.483 * * [simplify]: iters left: 3 (146 enodes) 109.519 * * [simplify]: iters left: 2 (253 enodes) 109.609 * * [simplify]: iters left: 1 (407 enodes) 109.739 * * [simplify]: Extracting #0: cost 1 inf + 0 109.739 * * [simplify]: Extracting #1: cost 7 inf + 0 109.739 * * [simplify]: Extracting #2: cost 13 inf + 1 109.739 * * [simplify]: Extracting #3: cost 36 inf + 84 109.739 * * [simplify]: Extracting #4: cost 111 inf + 167 109.740 * * [simplify]: Extracting #5: cost 136 inf + 1543 109.743 * * [simplify]: Extracting #6: cost 76 inf + 15336 109.749 * * [simplify]: Extracting #7: cost 19 inf + 39887 109.757 * * [simplify]: Extracting #8: cost 1 inf + 56477 109.767 * * [simplify]: Extracting #9: cost 0 inf + 57357 109.776 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 109.776 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 109.776 * * * * [progress]: [ 168 / 307 ] simplifiying candidate # 109.776 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) 109.776 * * [simplify]: iters left: 5 (6 enodes) 109.780 * * [simplify]: iters left: 4 (22 enodes) 109.785 * * [simplify]: iters left: 3 (24 enodes) 109.788 * * [simplify]: Extracting #0: cost 1 inf + 0 109.788 * * [simplify]: Extracting #1: cost 0 inf + 1 109.788 * [simplify]: Simplified to 1 109.789 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 109.789 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 109.789 * * [simplify]: iters left: 6 (14 enodes) 109.797 * * [simplify]: iters left: 5 (59 enodes) 109.817 * * [simplify]: iters left: 4 (103 enodes) 109.850 * * [simplify]: iters left: 3 (165 enodes) 109.884 * * [simplify]: iters left: 2 (314 enodes) 110.035 * * [simplify]: Extracting #0: cost 1 inf + 0 110.036 * * [simplify]: Extracting #1: cost 56 inf + 0 110.036 * * [simplify]: Extracting #2: cost 152 inf + 1 110.037 * * [simplify]: Extracting #3: cost 195 inf + 86 110.037 * * [simplify]: Extracting #4: cost 187 inf + 1215 110.040 * * [simplify]: Extracting #5: cost 137 inf + 11621 110.050 * * [simplify]: Extracting #6: cost 48 inf + 64325 110.066 * * [simplify]: Extracting #7: cost 1 inf + 98423 110.092 * * [simplify]: Extracting #8: cost 0 inf + 98696 110.119 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 110.119 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 110.120 * * * * [progress]: [ 169 / 307 ] simplifiying candidate # 110.120 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 110.120 * * [simplify]: iters left: 6 (16 enodes) 110.132 * * [simplify]: iters left: 5 (70 enodes) 110.156 * * [simplify]: iters left: 4 (112 enodes) 110.195 * * [simplify]: iters left: 3 (177 enodes) 110.260 * * [simplify]: iters left: 2 (332 enodes) 110.397 * * [simplify]: Extracting #0: cost 1 inf + 0 110.397 * * [simplify]: Extracting #1: cost 18 inf + 0 110.397 * * [simplify]: Extracting #2: cost 90 inf + 2 110.398 * * [simplify]: Extracting #3: cost 140 inf + 177 110.399 * * [simplify]: Extracting #4: cost 140 inf + 433 110.402 * * [simplify]: Extracting #5: cost 94 inf + 5530 110.409 * * [simplify]: Extracting #6: cost 39 inf + 25030 110.422 * * [simplify]: Extracting #7: cost 4 inf + 48401 110.437 * * [simplify]: Extracting #8: cost 0 inf + 49690 110.447 * * [simplify]: Extracting #9: cost 0 inf + 49650 110.457 * [simplify]: Simplified to (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) 110.457 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 110.457 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 110.457 * * [simplify]: iters left: 6 (15 enodes) 110.462 * * [simplify]: iters left: 5 (65 enodes) 110.473 * * [simplify]: iters left: 4 (109 enodes) 110.496 * * [simplify]: iters left: 3 (183 enodes) 110.551 * * [simplify]: iters left: 2 (370 enodes) 110.666 * * [simplify]: Extracting #0: cost 1 inf + 0 110.666 * * [simplify]: Extracting #1: cost 42 inf + 0 110.666 * * [simplify]: Extracting #2: cost 132 inf + 1 110.667 * * [simplify]: Extracting #3: cost 186 inf + 127 110.668 * * [simplify]: Extracting #4: cost 179 inf + 2752 110.671 * * [simplify]: Extracting #5: cost 124 inf + 11902 110.680 * * [simplify]: Extracting #6: cost 25 inf + 73950 110.699 * * [simplify]: Extracting #7: cost 1 inf + 90027 110.716 * * [simplify]: Extracting #8: cost 0 inf + 90039 110.729 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 110.729 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 110.730 * * * * [progress]: [ 170 / 307 ] simplifiying candidate # 110.730 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 110.730 * * [simplify]: iters left: 6 (13 enodes) 110.738 * * [simplify]: iters left: 5 (54 enodes) 110.756 * * [simplify]: iters left: 4 (90 enodes) 110.780 * * [simplify]: iters left: 3 (152 enodes) 110.812 * * [simplify]: iters left: 2 (297 enodes) 110.904 * * [simplify]: Extracting #0: cost 1 inf + 0 110.904 * * [simplify]: Extracting #1: cost 46 inf + 0 110.904 * * [simplify]: Extracting #2: cost 127 inf + 1 110.905 * * [simplify]: Extracting #3: cost 168 inf + 4 110.905 * * [simplify]: Extracting #4: cost 167 inf + 379 110.906 * * [simplify]: Extracting #5: cost 130 inf + 5609 110.910 * * [simplify]: Extracting #6: cost 70 inf + 28183 110.918 * * [simplify]: Extracting #7: cost 6 inf + 71892 110.928 * * [simplify]: Extracting #8: cost 0 inf + 76311 110.948 * * [simplify]: Extracting #9: cost 0 inf + 75889 110.968 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 110.968 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 110.969 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 110.969 * * [simplify]: iters left: 6 (13 enodes) 110.977 * * [simplify]: iters left: 5 (53 enodes) 110.994 * * [simplify]: iters left: 4 (89 enodes) 111.025 * * [simplify]: iters left: 3 (146 enodes) 111.055 * * [simplify]: iters left: 2 (298 enodes) 111.178 * * [simplify]: Extracting #0: cost 1 inf + 0 111.178 * * [simplify]: Extracting #1: cost 45 inf + 0 111.179 * * [simplify]: Extracting #2: cost 125 inf + 1 111.182 * * [simplify]: Extracting #3: cost 170 inf + 3 111.183 * * [simplify]: Extracting #4: cost 162 inf + 756 111.184 * * [simplify]: Extracting #5: cost 119 inf + 6798 111.189 * * [simplify]: Extracting #6: cost 55 inf + 41462 111.200 * * [simplify]: Extracting #7: cost 2 inf + 81304 111.212 * * [simplify]: Extracting #8: cost 0 inf + 81157 111.233 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 111.233 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 111.233 * * * * [progress]: [ 171 / 307 ] simplifiying candidate # 111.234 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 111.234 * * [simplify]: iters left: 6 (18 enodes) 111.244 * * [simplify]: iters left: 5 (75 enodes) 111.261 * * [simplify]: iters left: 4 (113 enodes) 111.287 * * [simplify]: iters left: 3 (170 enodes) 111.324 * * [simplify]: iters left: 2 (279 enodes) 111.386 * * [simplify]: iters left: 1 (451 enodes) 111.523 * * [simplify]: Extracting #0: cost 1 inf + 0 111.523 * * [simplify]: Extracting #1: cost 10 inf + 0 111.523 * * [simplify]: Extracting #2: cost 18 inf + 1 111.523 * * [simplify]: Extracting #3: cost 44 inf + 1 111.524 * * [simplify]: Extracting #4: cost 111 inf + 247 111.525 * * [simplify]: Extracting #5: cost 157 inf + 913 111.527 * * [simplify]: Extracting #6: cost 90 inf + 12363 111.534 * * [simplify]: Extracting #7: cost 27 inf + 46066 111.554 * * [simplify]: Extracting #8: cost 0 inf + 67303 111.574 * * [simplify]: Extracting #9: cost 0 inf + 63743 111.586 * * [simplify]: Extracting #10: cost 0 inf + 62644 111.598 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 111.599 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 111.599 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 111.599 * * [simplify]: iters left: 6 (16 enodes) 111.604 * * [simplify]: iters left: 5 (65 enodes) 111.614 * * [simplify]: iters left: 4 (101 enodes) 111.634 * * [simplify]: iters left: 3 (145 enodes) 111.687 * * [simplify]: iters left: 2 (246 enodes) 111.741 * * [simplify]: iters left: 1 (408 enodes) 111.850 * * [simplify]: Extracting #0: cost 1 inf + 0 111.850 * * [simplify]: Extracting #1: cost 7 inf + 0 111.850 * * [simplify]: Extracting #2: cost 12 inf + 1 111.850 * * [simplify]: Extracting #3: cost 37 inf + 1 111.850 * * [simplify]: Extracting #4: cost 101 inf + 247 111.851 * * [simplify]: Extracting #5: cost 133 inf + 2073 111.855 * * [simplify]: Extracting #6: cost 60 inf + 23445 111.867 * * [simplify]: Extracting #7: cost 7 inf + 56038 111.886 * * [simplify]: Extracting #8: cost 0 inf + 60758 111.896 * * [simplify]: Extracting #9: cost 0 inf + 59995 111.905 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 111.905 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 111.906 * * * * [progress]: [ 172 / 307 ] simplifiying candidate # 111.906 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 111.906 * * [simplify]: iters left: 6 (17 enodes) 111.911 * * [simplify]: iters left: 5 (70 enodes) 111.922 * * [simplify]: iters left: 4 (107 enodes) 111.946 * * [simplify]: iters left: 3 (156 enodes) 111.974 * * [simplify]: iters left: 2 (251 enodes) 112.032 * * [simplify]: iters left: 1 (408 enodes) 112.167 * * [simplify]: Extracting #0: cost 1 inf + 0 112.167 * * [simplify]: Extracting #1: cost 7 inf + 0 112.168 * * [simplify]: Extracting #2: cost 13 inf + 1 112.168 * * [simplify]: Extracting #3: cost 39 inf + 1 112.168 * * [simplify]: Extracting #4: cost 113 inf + 166 112.169 * * [simplify]: Extracting #5: cost 146 inf + 667 112.172 * * [simplify]: Extracting #6: cost 105 inf + 4939 112.179 * * [simplify]: Extracting #7: cost 50 inf + 17968 112.188 * * [simplify]: Extracting #8: cost 8 inf + 50843 112.198 * * [simplify]: Extracting #9: cost 0 inf + 57618 112.210 * * [simplify]: Extracting #10: cost 0 inf + 56873 112.226 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 112.226 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 112.226 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 112.226 * * [simplify]: iters left: 6 (16 enodes) 112.231 * * [simplify]: iters left: 5 (65 enodes) 112.241 * * [simplify]: iters left: 4 (102 enodes) 112.267 * * [simplify]: iters left: 3 (146 enodes) 112.293 * * [simplify]: iters left: 2 (248 enodes) 112.352 * * [simplify]: iters left: 1 (404 enodes) 112.463 * * [simplify]: Extracting #0: cost 1 inf + 0 112.463 * * [simplify]: Extracting #1: cost 7 inf + 0 112.463 * * [simplify]: Extracting #2: cost 13 inf + 1 112.463 * * [simplify]: Extracting #3: cost 46 inf + 1 112.464 * * [simplify]: Extracting #4: cost 120 inf + 166 112.464 * * [simplify]: Extracting #5: cost 141 inf + 1162 112.466 * * [simplify]: Extracting #6: cost 90 inf + 9620 112.473 * * [simplify]: Extracting #7: cost 20 inf + 46689 112.486 * * [simplify]: Extracting #8: cost 0 inf + 63232 112.505 * * [simplify]: Extracting #9: cost 0 inf + 63154 112.524 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 112.524 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 112.525 * * * * [progress]: [ 173 / 307 ] simplifiying candidate # 112.525 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 112.525 * * [simplify]: iters left: 6 (8 enodes) 112.530 * * [simplify]: iters left: 5 (28 enodes) 112.534 * * [simplify]: iters left: 4 (30 enodes) 112.538 * * [simplify]: Extracting #0: cost 1 inf + 0 112.538 * * [simplify]: Extracting #1: cost 4 inf + 0 112.538 * * [simplify]: Extracting #2: cost 5 inf + 1 112.538 * * [simplify]: Extracting #3: cost 7 inf + 1 112.538 * * [simplify]: Extracting #4: cost 3 inf + 165 112.538 * * [simplify]: Extracting #5: cost 0 inf + 490 112.538 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 112.538 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 112.538 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 112.539 * * [simplify]: iters left: 6 (15 enodes) 112.544 * * [simplify]: iters left: 5 (62 enodes) 112.555 * * [simplify]: iters left: 4 (102 enodes) 112.571 * * [simplify]: iters left: 3 (166 enodes) 112.634 * * [simplify]: iters left: 2 (338 enodes) 112.765 * * [simplify]: Extracting #0: cost 1 inf + 0 112.765 * * [simplify]: Extracting #1: cost 57 inf + 0 112.765 * * [simplify]: Extracting #2: cost 141 inf + 1 112.766 * * [simplify]: Extracting #3: cost 188 inf + 3 112.767 * * [simplify]: Extracting #4: cost 165 inf + 4027 112.774 * * [simplify]: Extracting #5: cost 124 inf + 13636 112.793 * * [simplify]: Extracting #6: cost 26 inf + 74868 112.810 * * [simplify]: Extracting #7: cost 1 inf + 92982 112.827 * * [simplify]: Extracting #8: cost 0 inf + 93558 112.840 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 112.840 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 112.840 * * * * [progress]: [ 174 / 307 ] simplifiying candidate # 112.841 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 112.841 * * [simplify]: iters left: 6 (17 enodes) 112.846 * * [simplify]: iters left: 5 (73 enodes) 112.865 * * [simplify]: iters left: 4 (117 enodes) 112.906 * * [simplify]: iters left: 3 (193 enodes) 112.959 * * [simplify]: iters left: 2 (370 enodes) 113.098 * * [simplify]: Extracting #0: cost 1 inf + 0 113.098 * * [simplify]: Extracting #1: cost 50 inf + 0 113.099 * * [simplify]: Extracting #2: cost 139 inf + 1 113.100 * * [simplify]: Extracting #3: cost 199 inf + 3 113.106 * * [simplify]: Extracting #4: cost 188 inf + 3945 113.113 * * [simplify]: Extracting #5: cost 121 inf + 20967 113.131 * * [simplify]: Extracting #6: cost 25 inf + 83209 113.147 * * [simplify]: Extracting #7: cost 0 inf + 102013 113.172 * * [simplify]: Extracting #8: cost 0 inf + 101519 113.203 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 113.203 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 113.203 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 113.203 * * [simplify]: iters left: 6 (16 enodes) 113.213 * * [simplify]: iters left: 5 (68 enodes) 113.235 * * [simplify]: iters left: 4 (115 enodes) 113.261 * * [simplify]: iters left: 3 (196 enodes) 113.327 * * [simplify]: iters left: 2 (402 enodes) 113.492 * * [simplify]: Extracting #0: cost 1 inf + 0 113.492 * * [simplify]: Extracting #1: cost 47 inf + 0 113.493 * * [simplify]: Extracting #2: cost 129 inf + 1 113.494 * * [simplify]: Extracting #3: cost 189 inf + 3 113.495 * * [simplify]: Extracting #4: cost 183 inf + 1338 113.500 * * [simplify]: Extracting #5: cost 129 inf + 14559 113.519 * * [simplify]: Extracting #6: cost 26 inf + 70835 113.546 * * [simplify]: Extracting #7: cost 0 inf + 89548 113.577 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 113.577 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 113.577 * * * * [progress]: [ 175 / 307 ] simplifiying candidate # 113.577 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))) 113.577 * * [simplify]: iters left: 6 (11 enodes) 113.585 * * [simplify]: iters left: 5 (48 enodes) 113.602 * * [simplify]: iters left: 4 (75 enodes) 113.626 * * [simplify]: iters left: 3 (120 enodes) 113.667 * * [simplify]: iters left: 2 (238 enodes) 113.753 * * [simplify]: iters left: 1 (476 enodes) 114.030 * * [simplify]: Extracting #0: cost 1 inf + 0 114.031 * * [simplify]: Extracting #1: cost 38 inf + 0 114.031 * * [simplify]: Extracting #2: cost 149 inf + 3 114.032 * * [simplify]: Extracting #3: cost 214 inf + 8 114.033 * * [simplify]: Extracting #4: cost 209 inf + 348 114.035 * * [simplify]: Extracting #5: cost 147 inf + 8631 114.049 * * [simplify]: Extracting #6: cost 49 inf + 64269 114.083 * * [simplify]: Extracting #7: cost 0 inf + 101004 114.115 * * [simplify]: Extracting #8: cost 0 inf + 97688 114.131 * * [simplify]: Extracting #9: cost 0 inf + 97295 114.154 * [simplify]: Simplified to (pow n (* 1/2 (- 1 k))) 114.154 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (* 1/2 (- 1 k))) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 114.154 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 114.155 * * [simplify]: iters left: 6 (12 enodes) 114.163 * * [simplify]: iters left: 5 (50 enodes) 114.179 * * [simplify]: iters left: 4 (86 enodes) 114.203 * * [simplify]: iters left: 3 (147 enodes) 114.239 * * [simplify]: iters left: 2 (300 enodes) 114.353 * * [simplify]: Extracting #0: cost 1 inf + 0 114.353 * * [simplify]: Extracting #1: cost 41 inf + 0 114.353 * * [simplify]: Extracting #2: cost 125 inf + 1 114.354 * * [simplify]: Extracting #3: cost 163 inf + 127 114.355 * * [simplify]: Extracting #4: cost 162 inf + 425 114.356 * * [simplify]: Extracting #5: cost 132 inf + 3989 114.361 * * [simplify]: Extracting #6: cost 68 inf + 31169 114.383 * * [simplify]: Extracting #7: cost 6 inf + 73091 114.403 * * [simplify]: Extracting #8: cost 0 inf + 74351 114.416 * * [simplify]: Extracting #9: cost 0 inf + 74220 114.427 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 114.428 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (* 1/2 (- 1 k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 114.428 * * * * [progress]: [ 176 / 307 ] simplifiying candidate # 114.428 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 114.428 * * [simplify]: iters left: 6 (16 enodes) 114.434 * * [simplify]: iters left: 5 (69 enodes) 114.452 * * [simplify]: iters left: 4 (102 enodes) 114.482 * * [simplify]: iters left: 3 (141 enodes) 114.516 * * [simplify]: iters left: 2 (232 enodes) 114.573 * * [simplify]: iters left: 1 (395 enodes) 114.714 * * [simplify]: Extracting #0: cost 1 inf + 0 114.714 * * [simplify]: Extracting #1: cost 7 inf + 0 114.714 * * [simplify]: Extracting #2: cost 10 inf + 1 114.714 * * [simplify]: Extracting #3: cost 31 inf + 1 114.715 * * [simplify]: Extracting #4: cost 100 inf + 2 114.715 * * [simplify]: Extracting #5: cost 148 inf + 176 114.716 * * [simplify]: Extracting #6: cost 117 inf + 3202 114.719 * * [simplify]: Extracting #7: cost 57 inf + 16721 114.727 * * [simplify]: Extracting #8: cost 12 inf + 48679 114.747 * * [simplify]: Extracting #9: cost 0 inf + 58293 114.768 * * [simplify]: Extracting #10: cost 0 inf + 57817 114.788 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) 114.789 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 114.789 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 114.789 * * [simplify]: iters left: 6 (15 enodes) 114.795 * * [simplify]: iters left: 5 (62 enodes) 114.805 * * [simplify]: iters left: 4 (98 enodes) 114.835 * * [simplify]: iters left: 3 (142 enodes) 114.860 * * [simplify]: iters left: 2 (243 enodes) 114.905 * * [simplify]: iters left: 1 (397 enodes) 115.032 * * [simplify]: Extracting #0: cost 1 inf + 0 115.032 * * [simplify]: Extracting #1: cost 7 inf + 0 115.032 * * [simplify]: Extracting #2: cost 12 inf + 1 115.032 * * [simplify]: Extracting #3: cost 32 inf + 166 115.033 * * [simplify]: Extracting #4: cost 99 inf + 249 115.033 * * [simplify]: Extracting #5: cost 136 inf + 963 115.035 * * [simplify]: Extracting #6: cost 84 inf + 11802 115.040 * * [simplify]: Extracting #7: cost 39 inf + 29194 115.053 * * [simplify]: Extracting #8: cost 3 inf + 58605 115.069 * * [simplify]: Extracting #9: cost 0 inf + 60363 115.084 * * [simplify]: Extracting #10: cost 0 inf + 60114 115.103 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 115.104 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 115.104 * * * * [progress]: [ 177 / 307 ] simplifiying candidate # 115.104 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 115.104 * * [simplify]: iters left: 6 (15 enodes) 115.113 * * [simplify]: iters left: 5 (64 enodes) 115.135 * * [simplify]: iters left: 4 (96 enodes) 115.153 * * [simplify]: iters left: 3 (137 enodes) 115.181 * * [simplify]: iters left: 2 (231 enodes) 115.235 * * [simplify]: iters left: 1 (396 enodes) 115.377 * * [simplify]: Extracting #0: cost 1 inf + 0 115.377 * * [simplify]: Extracting #1: cost 6 inf + 0 115.378 * * [simplify]: Extracting #2: cost 31 inf + 1 115.378 * * [simplify]: Extracting #3: cost 113 inf + 2 115.379 * * [simplify]: Extracting #4: cost 153 inf + 178 115.381 * * [simplify]: Extracting #5: cost 152 inf + 393 115.382 * * [simplify]: Extracting #6: cost 126 inf + 2424 115.387 * * [simplify]: Extracting #7: cost 70 inf + 10561 115.395 * * [simplify]: Extracting #8: cost 39 inf + 28004 115.417 * * [simplify]: Extracting #9: cost 3 inf + 57389 115.437 * * [simplify]: Extracting #10: cost 0 inf + 60391 115.456 * [simplify]: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) 115.457 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 115.457 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 115.457 * * [simplify]: iters left: 6 (15 enodes) 115.465 * * [simplify]: iters left: 5 (62 enodes) 115.475 * * [simplify]: iters left: 4 (99 enodes) 115.493 * * [simplify]: iters left: 3 (146 enodes) 115.531 * * [simplify]: iters left: 2 (253 enodes) 115.578 * * [simplify]: iters left: 1 (407 enodes) 115.702 * * [simplify]: Extracting #0: cost 1 inf + 0 115.702 * * [simplify]: Extracting #1: cost 7 inf + 0 115.702 * * [simplify]: Extracting #2: cost 13 inf + 1 115.703 * * [simplify]: Extracting #3: cost 36 inf + 84 115.703 * * [simplify]: Extracting #4: cost 111 inf + 167 115.704 * * [simplify]: Extracting #5: cost 136 inf + 1543 115.707 * * [simplify]: Extracting #6: cost 76 inf + 15336 115.719 * * [simplify]: Extracting #7: cost 19 inf + 39887 115.736 * * [simplify]: Extracting #8: cost 1 inf + 56477 115.754 * * [simplify]: Extracting #9: cost 0 inf + 57357 115.772 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 115.773 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 115.773 * * * * [progress]: [ 178 / 307 ] simplifiying candidate # 115.773 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) 115.773 * * [simplify]: iters left: 5 (5 enodes) 115.780 * * [simplify]: iters left: 4 (17 enodes) 115.785 * * [simplify]: iters left: 3 (19 enodes) 115.788 * * [simplify]: Extracting #0: cost 1 inf + 0 115.788 * * [simplify]: Extracting #1: cost 0 inf + 1 115.789 * [simplify]: Simplified to 1 115.789 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 115.789 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 115.789 * * [simplify]: iters left: 6 (14 enodes) 115.798 * * [simplify]: iters left: 5 (59 enodes) 115.810 * * [simplify]: iters left: 4 (103 enodes) 115.829 * * [simplify]: iters left: 3 (165 enodes) 115.887 * * [simplify]: iters left: 2 (314 enodes) 116.023 * * [simplify]: Extracting #0: cost 1 inf + 0 116.023 * * [simplify]: Extracting #1: cost 56 inf + 0 116.024 * * [simplify]: Extracting #2: cost 152 inf + 1 116.025 * * [simplify]: Extracting #3: cost 195 inf + 86 116.027 * * [simplify]: Extracting #4: cost 187 inf + 1215 116.031 * * [simplify]: Extracting #5: cost 137 inf + 11621 116.050 * * [simplify]: Extracting #6: cost 48 inf + 64325 116.065 * * [simplify]: Extracting #7: cost 1 inf + 98423 116.079 * * [simplify]: Extracting #8: cost 0 inf + 98696 116.093 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 116.093 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 116.093 * * * * [progress]: [ 179 / 307 ] simplifiying candidate # 116.093 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 116.093 * * [simplify]: iters left: 6 (15 enodes) 116.099 * * [simplify]: iters left: 5 (67 enodes) 116.111 * * [simplify]: iters left: 4 (104 enodes) 116.130 * * [simplify]: iters left: 3 (160 enodes) 116.169 * * [simplify]: iters left: 2 (289 enodes) 116.260 * * [simplify]: Extracting #0: cost 1 inf + 0 116.260 * * [simplify]: Extracting #1: cost 21 inf + 0 116.260 * * [simplify]: Extracting #2: cost 94 inf + 2 116.261 * * [simplify]: Extracting #3: cost 142 inf + 259 116.262 * * [simplify]: Extracting #4: cost 142 inf + 475 116.265 * * [simplify]: Extracting #5: cost 91 inf + 7023 116.272 * * [simplify]: Extracting #6: cost 32 inf + 30224 116.279 * * [simplify]: Extracting #7: cost 0 inf + 51260 116.287 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 116.287 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 116.287 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 116.287 * * [simplify]: iters left: 6 (15 enodes) 116.292 * * [simplify]: iters left: 5 (65 enodes) 116.303 * * [simplify]: iters left: 4 (109 enodes) 116.329 * * [simplify]: iters left: 3 (183 enodes) 116.402 * * [simplify]: iters left: 2 (370 enodes) 116.560 * * [simplify]: Extracting #0: cost 1 inf + 0 116.560 * * [simplify]: Extracting #1: cost 42 inf + 0 116.560 * * [simplify]: Extracting #2: cost 132 inf + 1 116.561 * * [simplify]: Extracting #3: cost 186 inf + 127 116.562 * * [simplify]: Extracting #4: cost 179 inf + 2752 116.564 * * [simplify]: Extracting #5: cost 124 inf + 11902 116.573 * * [simplify]: Extracting #6: cost 25 inf + 73950 116.593 * * [simplify]: Extracting #7: cost 1 inf + 90027 116.607 * * [simplify]: Extracting #8: cost 0 inf + 90039 116.620 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 116.620 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 116.620 * * * * [progress]: [ 180 / 307 ] simplifiying candidate # 116.620 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 116.620 * * [simplify]: iters left: 5 (4 enodes) 116.627 * * [simplify]: iters left: 4 (14 enodes) 116.630 * * [simplify]: iters left: 3 (16 enodes) 116.633 * * [simplify]: Extracting #0: cost 1 inf + 0 116.633 * * [simplify]: Extracting #1: cost 0 inf + 1 116.633 * [simplify]: Simplified to 1 116.633 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 116.634 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 116.634 * * [simplify]: iters left: 6 (14 enodes) 116.642 * * [simplify]: iters left: 5 (59 enodes) 116.665 * * [simplify]: iters left: 4 (103 enodes) 116.697 * * [simplify]: iters left: 3 (165 enodes) 116.735 * * [simplify]: iters left: 2 (314 enodes) 116.866 * * [simplify]: Extracting #0: cost 1 inf + 0 116.866 * * [simplify]: Extracting #1: cost 56 inf + 0 116.867 * * [simplify]: Extracting #2: cost 152 inf + 1 116.867 * * [simplify]: Extracting #3: cost 195 inf + 86 116.868 * * [simplify]: Extracting #4: cost 187 inf + 1215 116.870 * * [simplify]: Extracting #5: cost 137 inf + 11621 116.878 * * [simplify]: Extracting #6: cost 48 inf + 64325 116.904 * * [simplify]: Extracting #7: cost 1 inf + 98423 116.931 * * [simplify]: Extracting #8: cost 0 inf + 98696 116.958 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 116.958 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 116.958 * * * * [progress]: [ 181 / 307 ] simplifiying candidate # 116.959 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) 116.959 * * [simplify]: iters left: 5 (6 enodes) 116.963 * * [simplify]: iters left: 4 (22 enodes) 116.970 * * [simplify]: iters left: 3 (24 enodes) 116.976 * * [simplify]: Extracting #0: cost 1 inf + 0 116.976 * * [simplify]: Extracting #1: cost 4 inf + 0 116.976 * * [simplify]: Extracting #2: cost 5 inf + 1 116.976 * * [simplify]: Extracting #3: cost 2 inf + 125 116.976 * * [simplify]: Extracting #4: cost 0 inf + 248 116.976 * [simplify]: Simplified to (/ 1 (sqrt k)) 116.976 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 116.977 * [simplify]: Simplifying (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 116.977 * * [simplify]: iters left: 6 (13 enodes) 116.985 * * [simplify]: iters left: 5 (56 enodes) 117.006 * * [simplify]: iters left: 4 (91 enodes) 117.033 * * [simplify]: iters left: 3 (132 enodes) 117.054 * * [simplify]: iters left: 2 (220 enodes) 117.118 * * [simplify]: iters left: 1 (428 enodes) 117.355 * * [simplify]: Extracting #0: cost 1 inf + 0 117.356 * * [simplify]: Extracting #1: cost 48 inf + 0 117.356 * * [simplify]: Extracting #2: cost 182 inf + 2 117.357 * * [simplify]: Extracting #3: cost 237 inf + 218 117.358 * * [simplify]: Extracting #4: cost 216 inf + 2342 117.365 * * [simplify]: Extracting #5: cost 103 inf + 49334 117.386 * * [simplify]: Extracting #6: cost 8 inf + 121415 117.426 * * [simplify]: Extracting #7: cost 0 inf + 121630 117.457 * * [simplify]: Extracting #8: cost 0 inf + 119162 117.491 * * [simplify]: Extracting #9: cost 0 inf + 119031 117.529 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 117.529 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 117.529 * * * * [progress]: [ 182 / 307 ] simplifiying candidate # 117.529 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 117.529 * * [simplify]: iters left: 6 (14 enodes) 117.534 * * [simplify]: iters left: 5 (57 enodes) 117.545 * * [simplify]: iters left: 4 (96 enodes) 117.563 * * [simplify]: iters left: 3 (168 enodes) 117.605 * * [simplify]: iters left: 2 (303 enodes) 117.692 * * [simplify]: Extracting #0: cost 1 inf + 0 117.692 * * [simplify]: Extracting #1: cost 36 inf + 0 117.693 * * [simplify]: Extracting #2: cost 105 inf + 1 117.694 * * [simplify]: Extracting #3: cost 112 inf + 132 117.695 * * [simplify]: Extracting #4: cost 106 inf + 385 117.699 * * [simplify]: Extracting #5: cost 55 inf + 21697 117.710 * * [simplify]: Extracting #6: cost 4 inf + 53549 117.717 * * [simplify]: Extracting #7: cost 0 inf + 55851 117.724 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 117.724 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 117.725 * [simplify]: Simplifying (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))) 117.725 * * [simplify]: iters left: 6 (11 enodes) 117.728 * * [simplify]: iters left: 5 (42 enodes) 117.735 * * [simplify]: iters left: 4 (66 enodes) 117.745 * * [simplify]: iters left: 3 (101 enodes) 117.776 * * [simplify]: iters left: 2 (171 enodes) 117.826 * * [simplify]: iters left: 1 (319 enodes) 117.955 * * [simplify]: Extracting #0: cost 1 inf + 0 117.955 * * [simplify]: Extracting #1: cost 6 inf + 0 117.956 * * [simplify]: Extracting #2: cost 38 inf + 1 117.956 * * [simplify]: Extracting #3: cost 127 inf + 2 117.957 * * [simplify]: Extracting #4: cost 156 inf + 177 117.959 * * [simplify]: Extracting #5: cost 89 inf + 15817 117.968 * * [simplify]: Extracting #6: cost 12 inf + 49508 117.982 * * [simplify]: Extracting #7: cost 0 inf + 56041 117.995 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 117.996 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 117.996 * * * * [progress]: [ 183 / 307 ] simplifiying candidate # 117.996 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 117.996 * * [simplify]: iters left: 6 (16 enodes) 118.001 * * [simplify]: iters left: 5 (65 enodes) 118.019 * * [simplify]: iters left: 4 (101 enodes) 118.049 * * [simplify]: iters left: 3 (145 enodes) 118.099 * * [simplify]: iters left: 2 (237 enodes) 118.157 * * [simplify]: iters left: 1 (405 enodes) 118.287 * * [simplify]: Extracting #0: cost 1 inf + 0 118.287 * * [simplify]: Extracting #1: cost 7 inf + 0 118.287 * * [simplify]: Extracting #2: cost 11 inf + 1 118.287 * * [simplify]: Extracting #3: cost 16 inf + 1 118.287 * * [simplify]: Extracting #4: cost 47 inf + 1 118.288 * * [simplify]: Extracting #5: cost 129 inf + 85 118.290 * * [simplify]: Extracting #6: cost 159 inf + 1545 118.296 * * [simplify]: Extracting #7: cost 95 inf + 20225 118.312 * * [simplify]: Extracting #8: cost 12 inf + 67734 118.323 * * [simplify]: Extracting #9: cost 0 inf + 76512 118.334 * * [simplify]: Extracting #10: cost 0 inf + 75884 118.352 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 118.352 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 118.353 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 118.353 * * [simplify]: iters left: 6 (15 enodes) 118.362 * * [simplify]: iters left: 5 (60 enodes) 118.374 * * [simplify]: iters left: 4 (91 enodes) 118.388 * * [simplify]: iters left: 3 (133 enodes) 118.430 * * [simplify]: iters left: 2 (225 enodes) 118.487 * * [simplify]: iters left: 1 (396 enodes) 118.613 * * [simplify]: Extracting #0: cost 1 inf + 0 118.613 * * [simplify]: Extracting #1: cost 4 inf + 0 118.613 * * [simplify]: Extracting #2: cost 5 inf + 1 118.613 * * [simplify]: Extracting #3: cost 10 inf + 1 118.613 * * [simplify]: Extracting #4: cost 43 inf + 1 118.614 * * [simplify]: Extracting #5: cost 124 inf + 85 118.615 * * [simplify]: Extracting #6: cost 173 inf + 632 118.620 * * [simplify]: Extracting #7: cost 110 inf + 14333 118.633 * * [simplify]: Extracting #8: cost 21 inf + 55453 118.649 * * [simplify]: Extracting #9: cost 0 inf + 69192 118.668 * * [simplify]: Extracting #10: cost 0 inf + 68268 118.694 * * [simplify]: Extracting #11: cost 0 inf + 68227 118.722 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 118.722 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 118.722 * * * * [progress]: [ 184 / 307 ] simplifiying candidate # 118.722 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 118.723 * * [simplify]: iters left: 6 (15 enodes) 118.731 * * [simplify]: iters left: 5 (60 enodes) 118.750 * * [simplify]: iters left: 4 (91 enodes) 118.777 * * [simplify]: iters left: 3 (133 enodes) 118.807 * * [simplify]: iters left: 2 (225 enodes) 118.872 * * [simplify]: iters left: 1 (396 enodes) 119.007 * * [simplify]: Extracting #0: cost 1 inf + 0 119.007 * * [simplify]: Extracting #1: cost 4 inf + 0 119.007 * * [simplify]: Extracting #2: cost 5 inf + 1 119.007 * * [simplify]: Extracting #3: cost 10 inf + 1 119.007 * * [simplify]: Extracting #4: cost 43 inf + 1 119.008 * * [simplify]: Extracting #5: cost 124 inf + 85 119.009 * * [simplify]: Extracting #6: cost 173 inf + 632 119.014 * * [simplify]: Extracting #7: cost 110 inf + 14333 119.034 * * [simplify]: Extracting #8: cost 21 inf + 55333 119.062 * * [simplify]: Extracting #9: cost 0 inf + 69032 119.089 * * [simplify]: Extracting #10: cost 0 inf + 68108 119.116 * * [simplify]: Extracting #11: cost 0 inf + 68067 119.135 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 119.135 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 119.135 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 119.135 * * [simplify]: iters left: 6 (15 enodes) 119.140 * * [simplify]: iters left: 5 (60 enodes) 119.149 * * [simplify]: iters left: 4 (91 enodes) 119.172 * * [simplify]: iters left: 3 (133 enodes) 119.196 * * [simplify]: iters left: 2 (225 enodes) 119.278 * * [simplify]: iters left: 1 (396 enodes) 119.445 * * [simplify]: Extracting #0: cost 1 inf + 0 119.445 * * [simplify]: Extracting #1: cost 4 inf + 0 119.445 * * [simplify]: Extracting #2: cost 5 inf + 1 119.445 * * [simplify]: Extracting #3: cost 10 inf + 1 119.446 * * [simplify]: Extracting #4: cost 43 inf + 1 119.446 * * [simplify]: Extracting #5: cost 124 inf + 85 119.448 * * [simplify]: Extracting #6: cost 173 inf + 632 119.453 * * [simplify]: Extracting #7: cost 110 inf + 14333 119.476 * * [simplify]: Extracting #8: cost 21 inf + 55333 119.504 * * [simplify]: Extracting #9: cost 0 inf + 69032 119.531 * * [simplify]: Extracting #10: cost 0 inf + 68108 119.556 * * [simplify]: Extracting #11: cost 0 inf + 68067 119.583 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 119.583 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 119.583 * * * * [progress]: [ 185 / 307 ] simplifiying candidate # 119.584 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 119.584 * * [simplify]: iters left: 6 (13 enodes) 119.592 * * [simplify]: iters left: 5 (54 enodes) 119.610 * * [simplify]: iters left: 4 (101 enodes) 119.647 * * [simplify]: iters left: 3 (199 enodes) 119.744 * * [simplify]: iters left: 2 (484 enodes) 120.105 * * [simplify]: Extracting #0: cost 1 inf + 0 120.106 * * [simplify]: Extracting #1: cost 105 inf + 0 120.108 * * [simplify]: Extracting #2: cost 298 inf + 1 120.110 * * [simplify]: Extracting #3: cost 354 inf + 4 120.113 * * [simplify]: Extracting #4: cost 345 inf + 1593 120.118 * * [simplify]: Extracting #5: cost 302 inf + 8880 120.136 * * [simplify]: Extracting #6: cost 210 inf + 51407 120.173 * * [simplify]: Extracting #7: cost 39 inf + 171477 120.226 * * [simplify]: Extracting #8: cost 0 inf + 200528 120.282 * * [simplify]: Extracting #9: cost 0 inf + 200357 120.336 * [simplify]: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 120.336 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 120.336 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 120.336 * * [simplify]: iters left: 6 (13 enodes) 120.340 * * [simplify]: iters left: 5 (53 enodes) 120.350 * * [simplify]: iters left: 4 (89 enodes) 120.364 * * [simplify]: iters left: 3 (146 enodes) 120.421 * * [simplify]: iters left: 2 (298 enodes) 120.518 * * [simplify]: Extracting #0: cost 1 inf + 0 120.518 * * [simplify]: Extracting #1: cost 45 inf + 0 120.519 * * [simplify]: Extracting #2: cost 125 inf + 1 120.519 * * [simplify]: Extracting #3: cost 170 inf + 3 120.520 * * [simplify]: Extracting #4: cost 162 inf + 836 120.521 * * [simplify]: Extracting #5: cost 119 inf + 7078 120.527 * * [simplify]: Extracting #6: cost 55 inf + 42982 120.537 * * [simplify]: Extracting #7: cost 2 inf + 84384 120.549 * * [simplify]: Extracting #8: cost 0 inf + 84317 120.560 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 120.560 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 120.560 * * * * [progress]: [ 186 / 307 ] simplifiying candidate # 120.561 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 120.561 * * [simplify]: iters left: 6 (18 enodes) 120.568 * * [simplify]: iters left: 5 (77 enodes) 120.581 * * [simplify]: iters left: 4 (138 enodes) 120.603 * * [simplify]: iters left: 3 (226 enodes) 120.663 * * [simplify]: iters left: 2 (400 enodes) 120.793 * * [simplify]: Extracting #0: cost 1 inf + 0 120.793 * * [simplify]: Extracting #1: cost 22 inf + 0 120.793 * * [simplify]: Extracting #2: cost 39 inf + 1 120.793 * * [simplify]: Extracting #3: cost 54 inf + 1 120.793 * * [simplify]: Extracting #4: cost 88 inf + 1215 120.794 * * [simplify]: Extracting #5: cost 106 inf + 3459 120.797 * * [simplify]: Extracting #6: cost 47 inf + 19084 120.804 * * [simplify]: Extracting #7: cost 12 inf + 32367 120.822 * * [simplify]: Extracting #8: cost 0 inf + 40510 120.834 * * [simplify]: Extracting #9: cost 0 inf + 39977 120.841 * * [simplify]: Extracting #10: cost 0 inf + 39585 120.848 * * [simplify]: Extracting #11: cost 0 inf + 39455 120.855 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 120.856 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 120.856 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 120.856 * * [simplify]: iters left: 6 (16 enodes) 120.861 * * [simplify]: iters left: 5 (65 enodes) 120.880 * * [simplify]: iters left: 4 (101 enodes) 120.903 * * [simplify]: iters left: 3 (145 enodes) 120.936 * * [simplify]: iters left: 2 (246 enodes) 120.988 * * [simplify]: iters left: 1 (408 enodes) 121.157 * * [simplify]: Extracting #0: cost 1 inf + 0 121.157 * * [simplify]: Extracting #1: cost 7 inf + 0 121.157 * * [simplify]: Extracting #2: cost 12 inf + 1 121.157 * * [simplify]: Extracting #3: cost 37 inf + 1 121.158 * * [simplify]: Extracting #4: cost 101 inf + 327 121.159 * * [simplify]: Extracting #5: cost 133 inf + 2233 121.167 * * [simplify]: Extracting #6: cost 60 inf + 23765 121.183 * * [simplify]: Extracting #7: cost 7 inf + 56358 121.196 * * [simplify]: Extracting #8: cost 0 inf + 61078 121.206 * * [simplify]: Extracting #9: cost 0 inf + 60315 121.216 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 121.216 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 121.216 * * * * [progress]: [ 187 / 307 ] simplifiying candidate # 121.216 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 121.216 * * [simplify]: iters left: 6 (17 enodes) 121.221 * * [simplify]: iters left: 5 (70 enodes) 121.234 * * [simplify]: iters left: 4 (115 enodes) 121.265 * * [simplify]: iters left: 3 (181 enodes) 121.299 * * [simplify]: iters left: 2 (314 enodes) 121.380 * * [simplify]: Extracting #0: cost 1 inf + 0 121.380 * * [simplify]: Extracting #1: cost 17 inf + 0 121.380 * * [simplify]: Extracting #2: cost 28 inf + 1 121.381 * * [simplify]: Extracting #3: cost 46 inf + 1 121.381 * * [simplify]: Extracting #4: cost 89 inf + 1337 121.382 * * [simplify]: Extracting #5: cost 97 inf + 3300 121.384 * * [simplify]: Extracting #6: cost 51 inf + 11073 121.388 * * [simplify]: Extracting #7: cost 8 inf + 27337 121.397 * * [simplify]: Extracting #8: cost 0 inf + 32918 121.408 * * [simplify]: Extracting #9: cost 0 inf + 32747 121.418 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 121.418 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 121.419 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 121.419 * * [simplify]: iters left: 6 (16 enodes) 121.423 * * [simplify]: iters left: 5 (65 enodes) 121.436 * * [simplify]: iters left: 4 (102 enodes) 121.455 * * [simplify]: iters left: 3 (146 enodes) 121.503 * * [simplify]: iters left: 2 (248 enodes) 121.574 * * [simplify]: iters left: 1 (404 enodes) 121.674 * * [simplify]: Extracting #0: cost 1 inf + 0 121.674 * * [simplify]: Extracting #1: cost 7 inf + 0 121.674 * * [simplify]: Extracting #2: cost 13 inf + 1 121.674 * * [simplify]: Extracting #3: cost 46 inf + 1 121.675 * * [simplify]: Extracting #4: cost 120 inf + 206 121.675 * * [simplify]: Extracting #5: cost 141 inf + 1322 121.677 * * [simplify]: Extracting #6: cost 90 inf + 9780 121.684 * * [simplify]: Extracting #7: cost 20 inf + 46969 121.694 * * [simplify]: Extracting #8: cost 0 inf + 63552 121.707 * * [simplify]: Extracting #9: cost 0 inf + 63474 121.717 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) 121.717 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 121.717 * * * * [progress]: [ 188 / 307 ] simplifiying candidate # 121.717 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 121.717 * * [simplify]: iters left: 6 (8 enodes) 121.720 * * [simplify]: iters left: 5 (28 enodes) 121.725 * * [simplify]: iters left: 4 (52 enodes) 121.739 * * [simplify]: iters left: 3 (74 enodes) 121.761 * * [simplify]: iters left: 2 (77 enodes) 121.773 * * [simplify]: Extracting #0: cost 1 inf + 0 121.773 * * [simplify]: Extracting #1: cost 6 inf + 0 121.773 * * [simplify]: Extracting #2: cost 9 inf + 1 121.773 * * [simplify]: Extracting #3: cost 11 inf + 1 121.774 * * [simplify]: Extracting #4: cost 1 inf + 1214 121.774 * * [simplify]: Extracting #5: cost 0 inf + 1376 121.775 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 121.775 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 121.775 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 121.775 * * [simplify]: iters left: 6 (15 enodes) 121.784 * * [simplify]: iters left: 5 (62 enodes) 121.794 * * [simplify]: iters left: 4 (102 enodes) 121.812 * * [simplify]: iters left: 3 (166 enodes) 121.859 * * [simplify]: iters left: 2 (338 enodes) 122.008 * * [simplify]: Extracting #0: cost 1 inf + 0 122.008 * * [simplify]: Extracting #1: cost 57 inf + 0 122.009 * * [simplify]: Extracting #2: cost 141 inf + 1 122.010 * * [simplify]: Extracting #3: cost 188 inf + 3 122.012 * * [simplify]: Extracting #4: cost 165 inf + 4227 122.017 * * [simplify]: Extracting #5: cost 124 inf + 14196 122.027 * * [simplify]: Extracting #6: cost 26 inf + 77548 122.040 * * [simplify]: Extracting #7: cost 1 inf + 96382 122.053 * * [simplify]: Extracting #8: cost 0 inf + 96998 122.067 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 122.067 * [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))))) 122.067 * * * * [progress]: [ 189 / 307 ] simplifiying candidate # 122.067 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 122.067 * * [simplify]: iters left: 6 (17 enodes) 122.072 * * [simplify]: iters left: 5 (73 enodes) 122.092 * * [simplify]: iters left: 4 (128 enodes) 122.123 * * [simplify]: iters left: 3 (244 enodes) 122.197 * * [simplify]: Extracting #0: cost 1 inf + 0 122.198 * * [simplify]: Extracting #1: cost 42 inf + 0 122.198 * * [simplify]: Extracting #2: cost 115 inf + 1 122.198 * * [simplify]: Extracting #3: cost 155 inf + 2 122.199 * * [simplify]: Extracting #4: cost 151 inf + 1268 122.201 * * [simplify]: Extracting #5: cost 91 inf + 14403 122.207 * * [simplify]: Extracting #6: cost 34 inf + 40731 122.216 * * [simplify]: Extracting #7: cost 1 inf + 64975 122.235 * * [simplify]: Extracting #8: cost 0 inf + 66095 122.254 * [simplify]: Simplified to (/ (pow (* PI (* 2 n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 122.255 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* PI (* 2 n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 122.256 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 122.256 * * [simplify]: iters left: 6 (16 enodes) 122.265 * * [simplify]: iters left: 5 (68 enodes) 122.277 * * [simplify]: iters left: 4 (115 enodes) 122.300 * * [simplify]: iters left: 3 (196 enodes) 122.350 * * [simplify]: iters left: 2 (402 enodes) 122.496 * * [simplify]: Extracting #0: cost 1 inf + 0 122.496 * * [simplify]: Extracting #1: cost 47 inf + 0 122.497 * * [simplify]: Extracting #2: cost 129 inf + 1 122.498 * * [simplify]: Extracting #3: cost 189 inf + 3 122.500 * * [simplify]: Extracting #4: cost 183 inf + 1378 122.505 * * [simplify]: Extracting #5: cost 129 inf + 14919 122.523 * * [simplify]: Extracting #6: cost 26 inf + 73275 122.544 * * [simplify]: Extracting #7: cost 0 inf + 92628 122.557 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 122.557 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 122.558 * * * * [progress]: [ 190 / 307 ] simplifiying candidate # 122.558 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 122.558 * * [simplify]: iters left: 6 (13 enodes) 122.562 * * [simplify]: iters left: 5 (53 enodes) 122.580 * * [simplify]: iters left: 4 (89 enodes) 122.595 * * [simplify]: iters left: 3 (146 enodes) 122.632 * * [simplify]: iters left: 2 (298 enodes) 122.735 * * [simplify]: Extracting #0: cost 1 inf + 0 122.735 * * [simplify]: Extracting #1: cost 45 inf + 0 122.735 * * [simplify]: Extracting #2: cost 128 inf + 1 122.736 * * [simplify]: Extracting #3: cost 173 inf + 4 122.737 * * [simplify]: Extracting #4: cost 166 inf + 1034 122.738 * * [simplify]: Extracting #5: cost 120 inf + 8370 122.744 * * [simplify]: Extracting #6: cost 41 inf + 53729 122.757 * * [simplify]: Extracting #7: cost 0 inf + 82109 122.778 * * [simplify]: Extracting #8: cost 0 inf + 80336 122.799 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 122.799 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 122.799 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 122.800 * * [simplify]: iters left: 6 (13 enodes) 122.807 * * [simplify]: iters left: 5 (53 enodes) 122.825 * * [simplify]: iters left: 4 (89 enodes) 122.854 * * [simplify]: iters left: 3 (146 enodes) 122.892 * * [simplify]: iters left: 2 (298 enodes) 123.023 * * [simplify]: Extracting #0: cost 1 inf + 0 123.023 * * [simplify]: Extracting #1: cost 45 inf + 0 123.024 * * [simplify]: Extracting #2: cost 125 inf + 1 123.025 * * [simplify]: Extracting #3: cost 170 inf + 3 123.027 * * [simplify]: Extracting #4: cost 162 inf + 876 123.029 * * [simplify]: Extracting #5: cost 119 inf + 7158 123.040 * * [simplify]: Extracting #6: cost 55 inf + 43062 123.065 * * [simplify]: Extracting #7: cost 2 inf + 84464 123.088 * * [simplify]: Extracting #8: cost 0 inf + 84397 123.111 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 123.111 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 123.112 * * * * [progress]: [ 191 / 307 ] simplifiying candidate # 123.112 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 123.112 * * [simplify]: iters left: 6 (18 enodes) 123.123 * * [simplify]: iters left: 5 (74 enodes) 123.142 * * [simplify]: iters left: 4 (116 enodes) 123.161 * * [simplify]: iters left: 3 (175 enodes) 123.193 * * [simplify]: iters left: 2 (285 enodes) 123.266 * * [simplify]: iters left: 1 (472 enodes) 123.431 * * [simplify]: Extracting #0: cost 1 inf + 0 123.431 * * [simplify]: Extracting #1: cost 10 inf + 0 123.431 * * [simplify]: Extracting #2: cost 19 inf + 1 123.431 * * [simplify]: Extracting #3: cost 44 inf + 1 123.432 * * [simplify]: Extracting #4: cost 113 inf + 528 123.434 * * [simplify]: Extracting #5: cost 161 inf + 1065 123.438 * * [simplify]: Extracting #6: cost 106 inf + 11487 123.448 * * [simplify]: Extracting #7: cost 47 inf + 26723 123.462 * * [simplify]: Extracting #8: cost 28 inf + 39434 123.487 * * [simplify]: Extracting #9: cost 0 inf + 63723 123.507 * * [simplify]: Extracting #10: cost 0 inf + 63563 123.526 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2)))) (fabs (cbrt k))) 123.527 * [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))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 123.527 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 123.527 * * [simplify]: iters left: 6 (16 enodes) 123.537 * * [simplify]: iters left: 5 (65 enodes) 123.558 * * [simplify]: iters left: 4 (101 enodes) 123.589 * * [simplify]: iters left: 3 (145 enodes) 123.634 * * [simplify]: iters left: 2 (246 enodes) 123.690 * * [simplify]: iters left: 1 (408 enodes) 123.801 * * [simplify]: Extracting #0: cost 1 inf + 0 123.801 * * [simplify]: Extracting #1: cost 7 inf + 0 123.801 * * [simplify]: Extracting #2: cost 12 inf + 1 123.801 * * [simplify]: Extracting #3: cost 37 inf + 1 123.802 * * [simplify]: Extracting #4: cost 101 inf + 407 123.803 * * [simplify]: Extracting #5: cost 133 inf + 2313 123.806 * * [simplify]: Extracting #6: cost 60 inf + 23845 123.814 * * [simplify]: Extracting #7: cost 7 inf + 56438 123.824 * * [simplify]: Extracting #8: cost 0 inf + 61158 123.842 * * [simplify]: Extracting #9: cost 0 inf + 60395 123.861 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 123.862 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 123.862 * * * * [progress]: [ 192 / 307 ] simplifiying candidate # 123.862 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 123.863 * * [simplify]: iters left: 6 (17 enodes) 123.872 * * [simplify]: iters left: 5 (69 enodes) 123.893 * * [simplify]: iters left: 4 (106 enodes) 123.921 * * [simplify]: iters left: 3 (154 enodes) 123.956 * * [simplify]: iters left: 2 (258 enodes) 124.047 * * [simplify]: iters left: 1 (417 enodes) 124.184 * * [simplify]: Extracting #0: cost 1 inf + 0 124.184 * * [simplify]: Extracting #1: cost 7 inf + 0 124.184 * * [simplify]: Extracting #2: cost 14 inf + 1 124.185 * * [simplify]: Extracting #3: cost 43 inf + 1 124.185 * * [simplify]: Extracting #4: cost 116 inf + 407 124.186 * * [simplify]: Extracting #5: cost 164 inf + 1190 124.187 * * [simplify]: Extracting #6: cost 120 inf + 5339 124.191 * * [simplify]: Extracting #7: cost 59 inf + 17903 124.198 * * [simplify]: Extracting #8: cost 23 inf + 40731 124.218 * * [simplify]: Extracting #9: cost 0 inf + 62501 124.244 * * [simplify]: Extracting #10: cost 0 inf + 60659 124.265 * * [simplify]: Extracting #11: cost 0 inf + 60154 124.287 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) 124.288 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 124.288 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 124.288 * * [simplify]: iters left: 6 (16 enodes) 124.298 * * [simplify]: iters left: 5 (65 enodes) 124.319 * * [simplify]: iters left: 4 (102 enodes) 124.350 * * [simplify]: iters left: 3 (146 enodes) 124.387 * * [simplify]: iters left: 2 (248 enodes) 124.451 * * [simplify]: iters left: 1 (404 enodes) 124.585 * * [simplify]: Extracting #0: cost 1 inf + 0 124.585 * * [simplify]: Extracting #1: cost 7 inf + 0 124.585 * * [simplify]: Extracting #2: cost 13 inf + 1 124.585 * * [simplify]: Extracting #3: cost 46 inf + 1 124.586 * * [simplify]: Extracting #4: cost 120 inf + 286 124.586 * * [simplify]: Extracting #5: cost 141 inf + 1402 124.588 * * [simplify]: Extracting #6: cost 90 inf + 9860 124.595 * * [simplify]: Extracting #7: cost 20 inf + 47049 124.605 * * [simplify]: Extracting #8: cost 0 inf + 63632 124.614 * * [simplify]: Extracting #9: cost 0 inf + 63554 124.624 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))) 124.624 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 124.624 * * * * [progress]: [ 193 / 307 ] simplifiying candidate # 124.625 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 124.625 * * [simplify]: iters left: 6 (8 enodes) 124.627 * * [simplify]: iters left: 5 (26 enodes) 124.631 * * [simplify]: iters left: 4 (32 enodes) 124.635 * * [simplify]: Extracting #0: cost 1 inf + 0 124.635 * * [simplify]: Extracting #1: cost 4 inf + 0 124.635 * * [simplify]: Extracting #2: cost 6 inf + 1 124.636 * * [simplify]: Extracting #3: cost 9 inf + 1 124.636 * * [simplify]: Extracting #4: cost 4 inf + 487 124.636 * * [simplify]: Extracting #5: cost 0 inf + 972 124.636 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 124.636 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 124.636 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 124.636 * * [simplify]: iters left: 6 (15 enodes) 124.641 * * [simplify]: iters left: 5 (62 enodes) 124.651 * * [simplify]: iters left: 4 (102 enodes) 124.670 * * [simplify]: iters left: 3 (166 enodes) 124.719 * * [simplify]: iters left: 2 (338 enodes) 124.877 * * [simplify]: Extracting #0: cost 1 inf + 0 124.878 * * [simplify]: Extracting #1: cost 57 inf + 0 124.879 * * [simplify]: Extracting #2: cost 141 inf + 1 124.880 * * [simplify]: Extracting #3: cost 188 inf + 3 124.882 * * [simplify]: Extracting #4: cost 165 inf + 4307 124.888 * * [simplify]: Extracting #5: cost 124 inf + 14276 124.906 * * [simplify]: Extracting #6: cost 26 inf + 77628 124.919 * * [simplify]: Extracting #7: cost 1 inf + 96462 124.933 * * [simplify]: Extracting #8: cost 0 inf + 97078 124.954 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 124.955 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 124.955 * * * * [progress]: [ 194 / 307 ] simplifiying candidate # 124.955 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 124.955 * * [simplify]: iters left: 6 (17 enodes) 124.966 * * [simplify]: iters left: 5 (72 enodes) 124.992 * * [simplify]: iters left: 4 (116 enodes) 125.029 * * [simplify]: iters left: 3 (191 enodes) 125.104 * * [simplify]: iters left: 2 (380 enodes) 125.235 * * [simplify]: Extracting #0: cost 1 inf + 0 125.235 * * [simplify]: Extracting #1: cost 43 inf + 0 125.236 * * [simplify]: Extracting #2: cost 127 inf + 1 125.237 * * [simplify]: Extracting #3: cost 190 inf + 3 125.239 * * [simplify]: Extracting #4: cost 178 inf + 2475 125.244 * * [simplify]: Extracting #5: cost 125 inf + 11606 125.258 * * [simplify]: Extracting #6: cost 52 inf + 53264 125.283 * * [simplify]: Extracting #7: cost 5 inf + 88513 125.310 * * [simplify]: Extracting #8: cost 0 inf + 92871 125.341 * [simplify]: Simplified to (/ (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (fabs (cbrt k))) 125.341 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 125.341 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 125.341 * * [simplify]: iters left: 6 (16 enodes) 125.351 * * [simplify]: iters left: 5 (68 enodes) 125.373 * * [simplify]: iters left: 4 (115 enodes) 125.412 * * [simplify]: iters left: 3 (196 enodes) 125.482 * * [simplify]: iters left: 2 (402 enodes) 125.644 * * [simplify]: Extracting #0: cost 1 inf + 0 125.644 * * [simplify]: Extracting #1: cost 47 inf + 0 125.645 * * [simplify]: Extracting #2: cost 129 inf + 1 125.646 * * [simplify]: Extracting #3: cost 189 inf + 3 125.648 * * [simplify]: Extracting #4: cost 183 inf + 1458 125.653 * * [simplify]: Extracting #5: cost 129 inf + 14999 125.675 * * [simplify]: Extracting #6: cost 26 inf + 73355 125.689 * * [simplify]: Extracting #7: cost 0 inf + 92708 125.702 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 125.702 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 125.703 * * * * [progress]: [ 195 / 307 ] simplifiying candidate # 125.703 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 125.704 * * [simplify]: iters left: 6 (12 enodes) 125.711 * * [simplify]: iters left: 5 (49 enodes) 125.727 * * [simplify]: iters left: 4 (85 enodes) 125.755 * * [simplify]: iters left: 3 (146 enodes) 125.819 * * [simplify]: iters left: 2 (306 enodes) 125.953 * * [simplify]: Extracting #0: cost 1 inf + 0 125.953 * * [simplify]: Extracting #1: cost 45 inf + 0 125.954 * * [simplify]: Extracting #2: cost 138 inf + 1 125.955 * * [simplify]: Extracting #3: cost 181 inf + 4 125.957 * * [simplify]: Extracting #4: cost 166 inf + 3294 125.963 * * [simplify]: Extracting #5: cost 98 inf + 22839 125.974 * * [simplify]: Extracting #6: cost 15 inf + 72079 125.985 * * [simplify]: Extracting #7: cost 0 inf + 81271 125.999 * * [simplify]: Extracting #8: cost 0 inf + 81007 126.017 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 126.017 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 126.017 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 126.018 * * [simplify]: iters left: 6 (13 enodes) 126.026 * * [simplify]: iters left: 5 (53 enodes) 126.037 * * [simplify]: iters left: 4 (89 enodes) 126.052 * * [simplify]: iters left: 3 (146 enodes) 126.095 * * [simplify]: iters left: 2 (298 enodes) 126.209 * * [simplify]: Extracting #0: cost 1 inf + 0 126.209 * * [simplify]: Extracting #1: cost 45 inf + 0 126.209 * * [simplify]: Extracting #2: cost 125 inf + 1 126.210 * * [simplify]: Extracting #3: cost 170 inf + 3 126.211 * * [simplify]: Extracting #4: cost 162 inf + 756 126.212 * * [simplify]: Extracting #5: cost 119 inf + 6798 126.217 * * [simplify]: Extracting #6: cost 55 inf + 41462 126.228 * * [simplify]: Extracting #7: cost 2 inf + 81304 126.246 * * [simplify]: Extracting #8: cost 0 inf + 81157 126.257 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 126.257 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 126.258 * * * * [progress]: [ 196 / 307 ] simplifiying candidate # 126.258 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 126.258 * * [simplify]: iters left: 6 (17 enodes) 126.263 * * [simplify]: iters left: 5 (70 enodes) 126.278 * * [simplify]: iters left: 4 (112 enodes) 126.309 * * [simplify]: iters left: 3 (170 enodes) 126.368 * * [simplify]: iters left: 2 (280 enodes) 126.448 * * [simplify]: iters left: 1 (456 enodes) 126.603 * * [simplify]: Extracting #0: cost 1 inf + 0 126.603 * * [simplify]: Extracting #1: cost 10 inf + 0 126.603 * * [simplify]: Extracting #2: cost 18 inf + 1 126.604 * * [simplify]: Extracting #3: cost 43 inf + 1 126.605 * * [simplify]: Extracting #4: cost 106 inf + 369 126.606 * * [simplify]: Extracting #5: cost 156 inf + 956 126.611 * * [simplify]: Extracting #6: cost 94 inf + 12290 126.621 * * [simplify]: Extracting #7: cost 45 inf + 25481 126.638 * * [simplify]: Extracting #8: cost 9 inf + 55334 126.652 * * [simplify]: Extracting #9: cost 0 inf + 63689 126.662 * * [simplify]: Extracting #10: cost 0 inf + 63531 126.673 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k)))) 126.673 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 126.673 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 126.673 * * [simplify]: iters left: 6 (16 enodes) 126.678 * * [simplify]: iters left: 5 (65 enodes) 126.690 * * [simplify]: iters left: 4 (101 enodes) 126.717 * * [simplify]: iters left: 3 (145 enodes) 126.742 * * [simplify]: iters left: 2 (246 enodes) 126.818 * * [simplify]: iters left: 1 (408 enodes) 126.956 * * [simplify]: Extracting #0: cost 1 inf + 0 126.956 * * [simplify]: Extracting #1: cost 7 inf + 0 126.956 * * [simplify]: Extracting #2: cost 12 inf + 1 126.957 * * [simplify]: Extracting #3: cost 37 inf + 1 126.957 * * [simplify]: Extracting #4: cost 101 inf + 247 126.958 * * [simplify]: Extracting #5: cost 133 inf + 2073 126.961 * * [simplify]: Extracting #6: cost 60 inf + 23445 126.977 * * [simplify]: Extracting #7: cost 7 inf + 56038 126.996 * * [simplify]: Extracting #8: cost 0 inf + 60758 127.018 * * [simplify]: Extracting #9: cost 0 inf + 59995 127.033 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 127.034 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 127.034 * * * * [progress]: [ 197 / 307 ] simplifiying candidate # 127.034 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 127.034 * * [simplify]: iters left: 6 (16 enodes) 127.039 * * [simplify]: iters left: 5 (65 enodes) 127.050 * * [simplify]: iters left: 4 (102 enodes) 127.066 * * [simplify]: iters left: 3 (146 enodes) 127.110 * * [simplify]: iters left: 2 (248 enodes) 127.169 * * [simplify]: iters left: 1 (404 enodes) 127.303 * * [simplify]: Extracting #0: cost 1 inf + 0 127.304 * * [simplify]: Extracting #1: cost 7 inf + 0 127.304 * * [simplify]: Extracting #2: cost 13 inf + 1 127.304 * * [simplify]: Extracting #3: cost 46 inf + 1 127.305 * * [simplify]: Extracting #4: cost 120 inf + 166 127.306 * * [simplify]: Extracting #5: cost 141 inf + 1162 127.310 * * [simplify]: Extracting #6: cost 90 inf + 9620 127.323 * * [simplify]: Extracting #7: cost 20 inf + 46689 127.347 * * [simplify]: Extracting #8: cost 0 inf + 63232 127.366 * * [simplify]: Extracting #9: cost 0 inf + 63154 127.385 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 127.385 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 127.386 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 127.386 * * [simplify]: iters left: 6 (16 enodes) 127.396 * * [simplify]: iters left: 5 (65 enodes) 127.416 * * [simplify]: iters left: 4 (102 enodes) 127.446 * * [simplify]: iters left: 3 (146 enodes) 127.500 * * [simplify]: iters left: 2 (248 enodes) 127.564 * * [simplify]: iters left: 1 (404 enodes) 127.689 * * [simplify]: Extracting #0: cost 1 inf + 0 127.689 * * [simplify]: Extracting #1: cost 7 inf + 0 127.689 * * [simplify]: Extracting #2: cost 13 inf + 1 127.689 * * [simplify]: Extracting #3: cost 46 inf + 1 127.690 * * [simplify]: Extracting #4: cost 120 inf + 166 127.691 * * [simplify]: Extracting #5: cost 141 inf + 1162 127.695 * * [simplify]: Extracting #6: cost 90 inf + 9620 127.709 * * [simplify]: Extracting #7: cost 20 inf + 46689 127.723 * * [simplify]: Extracting #8: cost 0 inf + 63232 127.733 * * [simplify]: Extracting #9: cost 0 inf + 63154 127.743 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 127.743 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 127.743 * * * * [progress]: [ 198 / 307 ] simplifiying candidate # 127.743 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 127.743 * * [simplify]: iters left: 6 (7 enodes) 127.746 * * [simplify]: iters left: 5 (23 enodes) 127.750 * * [simplify]: iters left: 4 (27 enodes) 127.753 * * [simplify]: Extracting #0: cost 1 inf + 0 127.753 * * [simplify]: Extracting #1: cost 4 inf + 0 127.753 * * [simplify]: Extracting #2: cost 5 inf + 1 127.753 * * [simplify]: Extracting #3: cost 7 inf + 1 127.753 * * [simplify]: Extracting #4: cost 2 inf + 287 127.753 * * [simplify]: Extracting #5: cost 0 inf + 490 127.753 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 127.753 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 127.753 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 127.754 * * [simplify]: iters left: 6 (15 enodes) 127.759 * * [simplify]: iters left: 5 (62 enodes) 127.779 * * [simplify]: iters left: 4 (102 enodes) 127.815 * * [simplify]: iters left: 3 (166 enodes) 127.873 * * [simplify]: iters left: 2 (338 enodes) 128.008 * * [simplify]: Extracting #0: cost 1 inf + 0 128.008 * * [simplify]: Extracting #1: cost 57 inf + 0 128.009 * * [simplify]: Extracting #2: cost 141 inf + 1 128.009 * * [simplify]: Extracting #3: cost 188 inf + 3 128.011 * * [simplify]: Extracting #4: cost 165 inf + 4027 128.013 * * [simplify]: Extracting #5: cost 124 inf + 13636 128.022 * * [simplify]: Extracting #6: cost 26 inf + 74868 128.037 * * [simplify]: Extracting #7: cost 1 inf + 92982 128.064 * * [simplify]: Extracting #8: cost 0 inf + 93558 128.082 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 128.082 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 128.082 * * * * [progress]: [ 199 / 307 ] simplifiying candidate # 128.083 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 128.083 * * [simplify]: iters left: 6 (16 enodes) 128.088 * * [simplify]: iters left: 5 (68 enodes) 128.102 * * [simplify]: iters left: 4 (115 enodes) 128.137 * * [simplify]: iters left: 3 (196 enodes) 128.193 * * [simplify]: iters left: 2 (402 enodes) 128.360 * * [simplify]: Extracting #0: cost 1 inf + 0 128.361 * * [simplify]: Extracting #1: cost 47 inf + 0 128.361 * * [simplify]: Extracting #2: cost 129 inf + 1 128.362 * * [simplify]: Extracting #3: cost 189 inf + 3 128.363 * * [simplify]: Extracting #4: cost 183 inf + 1338 128.365 * * [simplify]: Extracting #5: cost 129 inf + 14559 128.374 * * [simplify]: Extracting #6: cost 26 inf + 70835 128.394 * * [simplify]: Extracting #7: cost 0 inf + 89548 128.418 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 128.419 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 128.419 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 128.419 * * [simplify]: iters left: 6 (16 enodes) 128.424 * * [simplify]: iters left: 5 (68 enodes) 128.436 * * [simplify]: iters left: 4 (115 enodes) 128.472 * * [simplify]: iters left: 3 (196 enodes) 128.527 * * [simplify]: iters left: 2 (402 enodes) 128.680 * * [simplify]: Extracting #0: cost 1 inf + 0 128.680 * * [simplify]: Extracting #1: cost 47 inf + 0 128.680 * * [simplify]: Extracting #2: cost 129 inf + 1 128.681 * * [simplify]: Extracting #3: cost 189 inf + 3 128.682 * * [simplify]: Extracting #4: cost 183 inf + 1338 128.684 * * [simplify]: Extracting #5: cost 129 inf + 14559 128.698 * * [simplify]: Extracting #6: cost 26 inf + 70835 128.716 * * [simplify]: Extracting #7: cost 0 inf + 89548 128.729 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 128.729 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 128.729 * * * * [progress]: [ 200 / 307 ] simplifiying candidate # 128.729 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 128.730 * * [simplify]: iters left: 6 (10 enodes) 128.733 * * [simplify]: iters left: 5 (43 enodes) 128.742 * * [simplify]: iters left: 4 (66 enodes) 128.762 * * [simplify]: iters left: 3 (104 enodes) 128.785 * * [simplify]: iters left: 2 (210 enodes) 128.856 * * [simplify]: iters left: 1 (426 enodes) 129.101 * * [simplify]: Extracting #0: cost 1 inf + 0 129.101 * * [simplify]: Extracting #1: cost 50 inf + 0 129.103 * * [simplify]: Extracting #2: cost 178 inf + 3 129.105 * * [simplify]: Extracting #3: cost 229 inf + 8 129.107 * * [simplify]: Extracting #4: cost 218 inf + 842 129.111 * * [simplify]: Extracting #5: cost 165 inf + 7025 129.122 * * [simplify]: Extracting #6: cost 99 inf + 38892 129.152 * * [simplify]: Extracting #7: cost 3 inf + 112732 129.189 * * [simplify]: Extracting #8: cost 0 inf + 111907 129.223 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 129.223 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 129.223 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 129.223 * * [simplify]: iters left: 6 (12 enodes) 129.232 * * [simplify]: iters left: 5 (50 enodes) 129.248 * * [simplify]: iters left: 4 (86 enodes) 129.277 * * [simplify]: iters left: 3 (147 enodes) 129.341 * * [simplify]: iters left: 2 (300 enodes) 129.475 * * [simplify]: Extracting #0: cost 1 inf + 0 129.475 * * [simplify]: Extracting #1: cost 41 inf + 0 129.476 * * [simplify]: Extracting #2: cost 125 inf + 1 129.477 * * [simplify]: Extracting #3: cost 163 inf + 127 129.478 * * [simplify]: Extracting #4: cost 162 inf + 425 129.481 * * [simplify]: Extracting #5: cost 132 inf + 3989 129.489 * * [simplify]: Extracting #6: cost 68 inf + 31169 129.507 * * [simplify]: Extracting #7: cost 6 inf + 73091 129.527 * * [simplify]: Extracting #8: cost 0 inf + 74351 129.548 * * [simplify]: Extracting #9: cost 0 inf + 74220 129.572 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 129.572 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 129.572 * * * * [progress]: [ 201 / 307 ] simplifiying candidate # 129.572 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 129.573 * * [simplify]: iters left: 6 (15 enodes) 129.582 * * [simplify]: iters left: 5 (64 enodes) 129.603 * * [simplify]: iters left: 4 (102 enodes) 129.634 * * [simplify]: iters left: 3 (143 enodes) 129.662 * * [simplify]: iters left: 2 (223 enodes) 129.731 * * [simplify]: iters left: 1 (382 enodes) 129.845 * * [simplify]: Extracting #0: cost 1 inf + 0 129.845 * * [simplify]: Extracting #1: cost 6 inf + 0 129.845 * * [simplify]: Extracting #2: cost 9 inf + 1 129.845 * * [simplify]: Extracting #3: cost 30 inf + 1 129.845 * * [simplify]: Extracting #4: cost 95 inf + 2 129.846 * * [simplify]: Extracting #5: cost 140 inf + 176 129.847 * * [simplify]: Extracting #6: cost 135 inf + 684 129.849 * * [simplify]: Extracting #7: cost 70 inf + 13009 129.861 * * [simplify]: Extracting #8: cost 14 inf + 43796 129.883 * * [simplify]: Extracting #9: cost 0 inf + 57179 129.902 * * [simplify]: Extracting #10: cost 0 inf + 57019 129.920 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 129.920 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 129.920 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 129.920 * * [simplify]: iters left: 6 (15 enodes) 129.928 * * [simplify]: iters left: 5 (62 enodes) 129.938 * * [simplify]: iters left: 4 (98 enodes) 129.953 * * [simplify]: iters left: 3 (142 enodes) 129.978 * * [simplify]: iters left: 2 (243 enodes) 130.042 * * [simplify]: iters left: 1 (397 enodes) 130.177 * * [simplify]: Extracting #0: cost 1 inf + 0 130.177 * * [simplify]: Extracting #1: cost 7 inf + 0 130.177 * * [simplify]: Extracting #2: cost 12 inf + 1 130.177 * * [simplify]: Extracting #3: cost 32 inf + 166 130.178 * * [simplify]: Extracting #4: cost 99 inf + 249 130.179 * * [simplify]: Extracting #5: cost 136 inf + 963 130.183 * * [simplify]: Extracting #6: cost 84 inf + 11802 130.196 * * [simplify]: Extracting #7: cost 39 inf + 29194 130.213 * * [simplify]: Extracting #8: cost 3 inf + 58605 130.231 * * [simplify]: Extracting #9: cost 0 inf + 60363 130.243 * * [simplify]: Extracting #10: cost 0 inf + 60114 130.253 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 130.253 * [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 (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 130.253 * * * * [progress]: [ 202 / 307 ] simplifiying candidate # 130.253 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 130.253 * * [simplify]: iters left: 6 (14 enodes) 130.258 * * [simplify]: iters left: 5 (59 enodes) 130.267 * * [simplify]: iters left: 4 (93 enodes) 130.292 * * [simplify]: iters left: 3 (133 enodes) 130.335 * * [simplify]: iters left: 2 (204 enodes) 130.385 * * [simplify]: iters left: 1 (365 enodes) 130.494 * * [simplify]: Extracting #0: cost 1 inf + 0 130.495 * * [simplify]: Extracting #1: cost 6 inf + 0 130.495 * * [simplify]: Extracting #2: cost 33 inf + 1 130.495 * * [simplify]: Extracting #3: cost 116 inf + 2 130.496 * * [simplify]: Extracting #4: cost 153 inf + 177 130.497 * * [simplify]: Extracting #5: cost 149 inf + 436 130.498 * * [simplify]: Extracting #6: cost 94 inf + 6733 130.503 * * [simplify]: Extracting #7: cost 31 inf + 34037 130.515 * * [simplify]: Extracting #8: cost 1 inf + 59242 130.535 * * [simplify]: Extracting #9: cost 0 inf + 58472 130.554 * * [simplify]: Extracting #10: cost 0 inf + 58432 130.573 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 130.574 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 130.574 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 130.574 * * [simplify]: iters left: 6 (15 enodes) 130.584 * * [simplify]: iters left: 5 (62 enodes) 130.603 * * [simplify]: iters left: 4 (99 enodes) 130.637 * * [simplify]: iters left: 3 (146 enodes) 130.677 * * [simplify]: iters left: 2 (253 enodes) 130.768 * * [simplify]: iters left: 1 (407 enodes) 130.913 * * [simplify]: Extracting #0: cost 1 inf + 0 130.913 * * [simplify]: Extracting #1: cost 7 inf + 0 130.913 * * [simplify]: Extracting #2: cost 13 inf + 1 130.913 * * [simplify]: Extracting #3: cost 36 inf + 84 130.913 * * [simplify]: Extracting #4: cost 111 inf + 167 130.914 * * [simplify]: Extracting #5: cost 136 inf + 1543 130.917 * * [simplify]: Extracting #6: cost 76 inf + 15336 130.923 * * [simplify]: Extracting #7: cost 19 inf + 39887 130.931 * * [simplify]: Extracting #8: cost 1 inf + 56477 130.941 * * [simplify]: Extracting #9: cost 0 inf + 57357 130.950 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 130.950 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 130.950 * * * * [progress]: [ 203 / 307 ] simplifiying candidate # 130.950 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) 1)) 130.950 * * [simplify]: iters left: 5 (4 enodes) 130.954 * * [simplify]: iters left: 4 (14 enodes) 130.956 * * [simplify]: iters left: 3 (16 enodes) 130.960 * * [simplify]: Extracting #0: cost 1 inf + 0 130.960 * * [simplify]: Extracting #1: cost 0 inf + 1 130.961 * [simplify]: Simplified to 1 130.961 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 130.961 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 130.961 * * [simplify]: iters left: 6 (14 enodes) 130.965 * * [simplify]: iters left: 5 (59 enodes) 130.975 * * [simplify]: iters left: 4 (103 enodes) 130.993 * * [simplify]: iters left: 3 (165 enodes) 131.056 * * [simplify]: iters left: 2 (314 enodes) 131.202 * * [simplify]: Extracting #0: cost 1 inf + 0 131.202 * * [simplify]: Extracting #1: cost 56 inf + 0 131.202 * * [simplify]: Extracting #2: cost 152 inf + 1 131.203 * * [simplify]: Extracting #3: cost 195 inf + 86 131.204 * * [simplify]: Extracting #4: cost 187 inf + 1215 131.206 * * [simplify]: Extracting #5: cost 137 inf + 11621 131.218 * * [simplify]: Extracting #6: cost 48 inf + 64325 131.235 * * [simplify]: Extracting #7: cost 1 inf + 98423 131.249 * * [simplify]: Extracting #8: cost 0 inf + 98696 131.272 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 131.273 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 131.273 * * * * [progress]: [ 204 / 307 ] simplifiying candidate # 131.273 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 131.273 * * [simplify]: iters left: 6 (14 enodes) 131.651 * * [simplify]: iters left: 5 (62 enodes) 131.661 * * [simplify]: iters left: 4 (103 enodes) 131.683 * * [simplify]: iters left: 3 (161 enodes) 131.737 * * [simplify]: iters left: 2 (285 enodes) 131.831 * * [simplify]: Extracting #0: cost 1 inf + 0 131.831 * * [simplify]: Extracting #1: cost 21 inf + 0 131.831 * * [simplify]: Extracting #2: cost 81 inf + 2 131.832 * * [simplify]: Extracting #3: cost 124 inf + 301 131.832 * * [simplify]: Extracting #4: cost 119 inf + 641 131.834 * * [simplify]: Extracting #5: cost 79 inf + 4450 131.837 * * [simplify]: Extracting #6: cost 25 inf + 24197 131.845 * * [simplify]: Extracting #7: cost 0 inf + 44139 131.858 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 131.858 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 131.859 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 131.859 * * [simplify]: iters left: 6 (15 enodes) 131.868 * * [simplify]: iters left: 5 (65 enodes) 131.891 * * [simplify]: iters left: 4 (109 enodes) 131.919 * * [simplify]: iters left: 3 (183 enodes) 131.976 * * [simplify]: iters left: 2 (370 enodes) 132.093 * * [simplify]: Extracting #0: cost 1 inf + 0 132.093 * * [simplify]: Extracting #1: cost 42 inf + 0 132.094 * * [simplify]: Extracting #2: cost 132 inf + 1 132.094 * * [simplify]: Extracting #3: cost 186 inf + 127 132.095 * * [simplify]: Extracting #4: cost 179 inf + 2752 132.098 * * [simplify]: Extracting #5: cost 124 inf + 11902 132.112 * * [simplify]: Extracting #6: cost 25 inf + 73950 132.127 * * [simplify]: Extracting #7: cost 1 inf + 90027 132.141 * * [simplify]: Extracting #8: cost 0 inf + 90039 132.166 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 132.166 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 132.166 * * * * [progress]: [ 205 / 307 ] simplifiying candidate # 132.166 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 132.167 * * [simplify]: iters left: 6 (12 enodes) 132.174 * * [simplify]: iters left: 5 (49 enodes) 132.191 * * [simplify]: iters left: 4 (85 enodes) 132.218 * * [simplify]: iters left: 3 (146 enodes) 132.278 * * [simplify]: iters left: 2 (306 enodes) 132.447 * * [simplify]: Extracting #0: cost 1 inf + 0 132.448 * * [simplify]: Extracting #1: cost 45 inf + 0 132.448 * * [simplify]: Extracting #2: cost 138 inf + 1 132.449 * * [simplify]: Extracting #3: cost 181 inf + 4 132.451 * * [simplify]: Extracting #4: cost 166 inf + 3294 132.457 * * [simplify]: Extracting #5: cost 98 inf + 22839 132.474 * * [simplify]: Extracting #6: cost 15 inf + 72079 132.486 * * [simplify]: Extracting #7: cost 0 inf + 81271 132.497 * * [simplify]: Extracting #8: cost 0 inf + 81007 132.510 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 132.510 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 132.511 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 132.511 * * [simplify]: iters left: 6 (13 enodes) 132.518 * * [simplify]: iters left: 5 (53 enodes) 132.530 * * [simplify]: iters left: 4 (89 enodes) 132.547 * * [simplify]: iters left: 3 (146 enodes) 132.584 * * [simplify]: iters left: 2 (298 enodes) 132.691 * * [simplify]: Extracting #0: cost 1 inf + 0 132.691 * * [simplify]: Extracting #1: cost 45 inf + 0 132.691 * * [simplify]: Extracting #2: cost 125 inf + 1 132.694 * * [simplify]: Extracting #3: cost 170 inf + 3 132.695 * * [simplify]: Extracting #4: cost 162 inf + 756 132.696 * * [simplify]: Extracting #5: cost 119 inf + 6798 132.701 * * [simplify]: Extracting #6: cost 55 inf + 41462 132.714 * * [simplify]: Extracting #7: cost 2 inf + 81304 132.737 * * [simplify]: Extracting #8: cost 0 inf + 81157 132.760 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 132.761 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 132.761 * * * * [progress]: [ 206 / 307 ] simplifiying candidate # 132.761 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 132.761 * * [simplify]: iters left: 6 (17 enodes) 132.771 * * [simplify]: iters left: 5 (70 enodes) 132.793 * * [simplify]: iters left: 4 (112 enodes) 132.828 * * [simplify]: iters left: 3 (170 enodes) 132.890 * * [simplify]: iters left: 2 (280 enodes) 132.974 * * [simplify]: iters left: 1 (456 enodes) 133.140 * * [simplify]: Extracting #0: cost 1 inf + 0 133.140 * * [simplify]: Extracting #1: cost 10 inf + 0 133.140 * * [simplify]: Extracting #2: cost 18 inf + 1 133.140 * * [simplify]: Extracting #3: cost 43 inf + 1 133.141 * * [simplify]: Extracting #4: cost 106 inf + 369 133.141 * * [simplify]: Extracting #5: cost 156 inf + 956 133.144 * * [simplify]: Extracting #6: cost 94 inf + 12290 133.148 * * [simplify]: Extracting #7: cost 45 inf + 25481 133.167 * * [simplify]: Extracting #8: cost 9 inf + 55334 133.177 * * [simplify]: Extracting #9: cost 0 inf + 63689 133.187 * * [simplify]: Extracting #10: cost 0 inf + 63531 133.197 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k)))) 133.197 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 133.197 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 133.197 * * [simplify]: iters left: 6 (16 enodes) 133.202 * * [simplify]: iters left: 5 (65 enodes) 133.213 * * [simplify]: iters left: 4 (101 enodes) 133.242 * * [simplify]: iters left: 3 (145 enodes) 133.268 * * [simplify]: iters left: 2 (246 enodes) 133.328 * * [simplify]: iters left: 1 (408 enodes) 133.488 * * [simplify]: Extracting #0: cost 1 inf + 0 133.488 * * [simplify]: Extracting #1: cost 7 inf + 0 133.488 * * [simplify]: Extracting #2: cost 12 inf + 1 133.488 * * [simplify]: Extracting #3: cost 37 inf + 1 133.489 * * [simplify]: Extracting #4: cost 101 inf + 247 133.489 * * [simplify]: Extracting #5: cost 133 inf + 2073 133.493 * * [simplify]: Extracting #6: cost 60 inf + 23445 133.508 * * [simplify]: Extracting #7: cost 7 inf + 56038 133.527 * * [simplify]: Extracting #8: cost 0 inf + 60758 133.546 * * [simplify]: Extracting #9: cost 0 inf + 59995 133.565 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 133.565 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 133.565 * * * * [progress]: [ 207 / 307 ] simplifiying candidate # 133.565 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 133.566 * * [simplify]: iters left: 6 (16 enodes) 133.575 * * [simplify]: iters left: 5 (65 enodes) 133.595 * * [simplify]: iters left: 4 (102 enodes) 133.616 * * [simplify]: iters left: 3 (146 enodes) 133.650 * * [simplify]: iters left: 2 (248 enodes) 133.716 * * [simplify]: iters left: 1 (404 enodes) 133.857 * * [simplify]: Extracting #0: cost 1 inf + 0 133.857 * * [simplify]: Extracting #1: cost 7 inf + 0 133.857 * * [simplify]: Extracting #2: cost 13 inf + 1 133.857 * * [simplify]: Extracting #3: cost 46 inf + 1 133.858 * * [simplify]: Extracting #4: cost 120 inf + 166 133.859 * * [simplify]: Extracting #5: cost 141 inf + 1162 133.863 * * [simplify]: Extracting #6: cost 90 inf + 9620 133.876 * * [simplify]: Extracting #7: cost 20 inf + 46689 133.896 * * [simplify]: Extracting #8: cost 0 inf + 63232 133.907 * * [simplify]: Extracting #9: cost 0 inf + 63154 133.917 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 133.917 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 133.917 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 133.917 * * [simplify]: iters left: 6 (16 enodes) 133.925 * * [simplify]: iters left: 5 (65 enodes) 133.943 * * [simplify]: iters left: 4 (102 enodes) 133.958 * * [simplify]: iters left: 3 (146 enodes) 133.995 * * [simplify]: iters left: 2 (248 enodes) 134.054 * * [simplify]: iters left: 1 (404 enodes) 134.187 * * [simplify]: Extracting #0: cost 1 inf + 0 134.187 * * [simplify]: Extracting #1: cost 7 inf + 0 134.187 * * [simplify]: Extracting #2: cost 13 inf + 1 134.188 * * [simplify]: Extracting #3: cost 46 inf + 1 134.188 * * [simplify]: Extracting #4: cost 120 inf + 166 134.190 * * [simplify]: Extracting #5: cost 141 inf + 1162 134.194 * * [simplify]: Extracting #6: cost 90 inf + 9620 134.208 * * [simplify]: Extracting #7: cost 20 inf + 46689 134.228 * * [simplify]: Extracting #8: cost 0 inf + 63232 134.247 * * [simplify]: Extracting #9: cost 0 inf + 63154 134.256 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 134.257 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 134.257 * * * * [progress]: [ 208 / 307 ] simplifiying candidate # 134.257 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 134.257 * * [simplify]: iters left: 6 (7 enodes) 134.260 * * [simplify]: iters left: 5 (23 enodes) 134.263 * * [simplify]: iters left: 4 (27 enodes) 134.267 * * [simplify]: Extracting #0: cost 1 inf + 0 134.267 * * [simplify]: Extracting #1: cost 4 inf + 0 134.267 * * [simplify]: Extracting #2: cost 5 inf + 1 134.267 * * [simplify]: Extracting #3: cost 7 inf + 1 134.267 * * [simplify]: Extracting #4: cost 2 inf + 287 134.267 * * [simplify]: Extracting #5: cost 0 inf + 490 134.267 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 134.267 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 134.267 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 134.268 * * [simplify]: iters left: 6 (15 enodes) 134.273 * * [simplify]: iters left: 5 (62 enodes) 134.291 * * [simplify]: iters left: 4 (102 enodes) 134.316 * * [simplify]: iters left: 3 (166 enodes) 134.361 * * [simplify]: iters left: 2 (338 enodes) 134.468 * * [simplify]: Extracting #0: cost 1 inf + 0 134.468 * * [simplify]: Extracting #1: cost 57 inf + 0 134.468 * * [simplify]: Extracting #2: cost 141 inf + 1 134.469 * * [simplify]: Extracting #3: cost 188 inf + 3 134.470 * * [simplify]: Extracting #4: cost 165 inf + 4027 134.473 * * [simplify]: Extracting #5: cost 124 inf + 13636 134.483 * * [simplify]: Extracting #6: cost 26 inf + 74868 134.502 * * [simplify]: Extracting #7: cost 1 inf + 92982 134.515 * * [simplify]: Extracting #8: cost 0 inf + 93558 134.536 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 134.536 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 134.536 * * * * [progress]: [ 209 / 307 ] simplifiying candidate # 134.536 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 134.537 * * [simplify]: iters left: 6 (16 enodes) 134.546 * * [simplify]: iters left: 5 (68 enodes) 134.557 * * [simplify]: iters left: 4 (115 enodes) 134.577 * * [simplify]: iters left: 3 (196 enodes) 134.644 * * [simplify]: iters left: 2 (402 enodes) 134.826 * * [simplify]: Extracting #0: cost 1 inf + 0 134.826 * * [simplify]: Extracting #1: cost 47 inf + 0 134.827 * * [simplify]: Extracting #2: cost 129 inf + 1 134.828 * * [simplify]: Extracting #3: cost 189 inf + 3 134.828 * * [simplify]: Extracting #4: cost 183 inf + 1338 134.831 * * [simplify]: Extracting #5: cost 129 inf + 14559 134.840 * * [simplify]: Extracting #6: cost 26 inf + 70835 134.854 * * [simplify]: Extracting #7: cost 0 inf + 89548 134.877 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 134.877 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 134.877 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 134.878 * * [simplify]: iters left: 6 (16 enodes) 134.887 * * [simplify]: iters left: 5 (68 enodes) 134.898 * * [simplify]: iters left: 4 (115 enodes) 134.920 * * [simplify]: iters left: 3 (196 enodes) 134.976 * * [simplify]: iters left: 2 (402 enodes) 135.118 * * [simplify]: Extracting #0: cost 1 inf + 0 135.118 * * [simplify]: Extracting #1: cost 47 inf + 0 135.119 * * [simplify]: Extracting #2: cost 129 inf + 1 135.120 * * [simplify]: Extracting #3: cost 189 inf + 3 135.122 * * [simplify]: Extracting #4: cost 183 inf + 1338 135.126 * * [simplify]: Extracting #5: cost 129 inf + 14559 135.146 * * [simplify]: Extracting #6: cost 26 inf + 70835 135.173 * * [simplify]: Extracting #7: cost 0 inf + 89548 135.200 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 135.200 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 135.200 * * * * [progress]: [ 210 / 307 ] simplifiying candidate # 135.200 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) 135.201 * * [simplify]: iters left: 6 (10 enodes) 135.209 * * [simplify]: iters left: 5 (43 enodes) 135.222 * * [simplify]: iters left: 4 (66 enodes) 135.235 * * [simplify]: iters left: 3 (104 enodes) 135.255 * * [simplify]: iters left: 2 (210 enodes) 135.334 * * [simplify]: iters left: 1 (426 enodes) 135.562 * * [simplify]: Extracting #0: cost 1 inf + 0 135.562 * * [simplify]: Extracting #1: cost 50 inf + 0 135.563 * * [simplify]: Extracting #2: cost 178 inf + 3 135.565 * * [simplify]: Extracting #3: cost 229 inf + 8 135.567 * * [simplify]: Extracting #4: cost 218 inf + 842 135.572 * * [simplify]: Extracting #5: cost 165 inf + 7025 135.583 * * [simplify]: Extracting #6: cost 99 inf + 38892 135.613 * * [simplify]: Extracting #7: cost 3 inf + 112732 135.648 * * [simplify]: Extracting #8: cost 0 inf + 111907 135.665 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 135.666 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 135.666 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 135.666 * * [simplify]: iters left: 6 (12 enodes) 135.674 * * [simplify]: iters left: 5 (50 enodes) 135.686 * * [simplify]: iters left: 4 (86 enodes) 135.705 * * [simplify]: iters left: 3 (147 enodes) 135.742 * * [simplify]: iters left: 2 (300 enodes) 135.855 * * [simplify]: Extracting #0: cost 1 inf + 0 135.855 * * [simplify]: Extracting #1: cost 41 inf + 0 135.856 * * [simplify]: Extracting #2: cost 125 inf + 1 135.857 * * [simplify]: Extracting #3: cost 163 inf + 127 135.859 * * [simplify]: Extracting #4: cost 162 inf + 425 135.861 * * [simplify]: Extracting #5: cost 132 inf + 3989 135.869 * * [simplify]: Extracting #6: cost 68 inf + 31169 135.884 * * [simplify]: Extracting #7: cost 6 inf + 73091 135.894 * * [simplify]: Extracting #8: cost 0 inf + 74351 135.904 * * [simplify]: Extracting #9: cost 0 inf + 74220 135.915 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 135.915 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 135.915 * * * * [progress]: [ 211 / 307 ] simplifiying candidate # 135.915 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 135.915 * * [simplify]: iters left: 6 (15 enodes) 135.921 * * [simplify]: iters left: 5 (64 enodes) 135.942 * * [simplify]: iters left: 4 (99 enodes) 135.965 * * [simplify]: iters left: 3 (138 enodes) 135.989 * * [simplify]: iters left: 2 (214 enodes) 136.038 * * [simplify]: iters left: 1 (383 enodes) 136.156 * * [simplify]: Extracting #0: cost 1 inf + 0 136.156 * * [simplify]: Extracting #1: cost 6 inf + 0 136.156 * * [simplify]: Extracting #2: cost 9 inf + 1 136.156 * * [simplify]: Extracting #3: cost 32 inf + 1 136.157 * * [simplify]: Extracting #4: cost 107 inf + 2 136.158 * * [simplify]: Extracting #5: cost 154 inf + 176 136.159 * * [simplify]: Extracting #6: cost 151 inf + 561 136.163 * * [simplify]: Extracting #7: cost 93 inf + 7562 136.172 * * [simplify]: Extracting #8: cost 38 inf + 31911 136.190 * * [simplify]: Extracting #9: cost 2 inf + 62191 136.209 * * [simplify]: Extracting #10: cost 0 inf + 62639 136.232 * * [simplify]: Extracting #11: cost 0 inf + 62428 136.251 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 136.251 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 136.252 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 136.252 * * [simplify]: iters left: 6 (15 enodes) 136.258 * * [simplify]: iters left: 5 (62 enodes) 136.268 * * [simplify]: iters left: 4 (98 enodes) 136.283 * * [simplify]: iters left: 3 (142 enodes) 136.333 * * [simplify]: iters left: 2 (243 enodes) 136.413 * * [simplify]: iters left: 1 (397 enodes) 136.534 * * [simplify]: Extracting #0: cost 1 inf + 0 136.534 * * [simplify]: Extracting #1: cost 7 inf + 0 136.534 * * [simplify]: Extracting #2: cost 12 inf + 1 136.534 * * [simplify]: Extracting #3: cost 32 inf + 166 136.535 * * [simplify]: Extracting #4: cost 99 inf + 249 136.536 * * [simplify]: Extracting #5: cost 136 inf + 963 136.541 * * [simplify]: Extracting #6: cost 84 inf + 11802 136.549 * * [simplify]: Extracting #7: cost 39 inf + 29194 136.572 * * [simplify]: Extracting #8: cost 3 inf + 58605 136.590 * * [simplify]: Extracting #9: cost 0 inf + 60363 136.608 * * [simplify]: Extracting #10: cost 0 inf + 60114 136.626 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 136.626 * [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 (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 136.626 * * * * [progress]: [ 212 / 307 ] simplifiying candidate # 136.626 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 136.626 * * [simplify]: iters left: 6 (14 enodes) 136.635 * * [simplify]: iters left: 5 (59 enodes) 136.652 * * [simplify]: iters left: 4 (93 enodes) 136.680 * * [simplify]: iters left: 3 (133 enodes) 136.723 * * [simplify]: iters left: 2 (204 enodes) 136.770 * * [simplify]: iters left: 1 (365 enodes) 136.925 * * [simplify]: Extracting #0: cost 1 inf + 0 136.925 * * [simplify]: Extracting #1: cost 6 inf + 0 136.925 * * [simplify]: Extracting #2: cost 33 inf + 1 136.926 * * [simplify]: Extracting #3: cost 116 inf + 2 136.927 * * [simplify]: Extracting #4: cost 153 inf + 177 136.928 * * [simplify]: Extracting #5: cost 149 inf + 436 136.931 * * [simplify]: Extracting #6: cost 94 inf + 6733 136.942 * * [simplify]: Extracting #7: cost 31 inf + 34037 136.955 * * [simplify]: Extracting #8: cost 1 inf + 59242 136.965 * * [simplify]: Extracting #9: cost 0 inf + 58472 136.975 * * [simplify]: Extracting #10: cost 0 inf + 58432 136.988 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 136.988 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 136.989 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 136.989 * * [simplify]: iters left: 6 (15 enodes) 136.994 * * [simplify]: iters left: 5 (62 enodes) 137.003 * * [simplify]: iters left: 4 (99 enodes) 137.024 * * [simplify]: iters left: 3 (146 enodes) 137.073 * * [simplify]: iters left: 2 (253 enodes) 137.123 * * [simplify]: iters left: 1 (407 enodes) 137.233 * * [simplify]: Extracting #0: cost 1 inf + 0 137.233 * * [simplify]: Extracting #1: cost 7 inf + 0 137.233 * * [simplify]: Extracting #2: cost 13 inf + 1 137.233 * * [simplify]: Extracting #3: cost 36 inf + 84 137.234 * * [simplify]: Extracting #4: cost 111 inf + 167 137.235 * * [simplify]: Extracting #5: cost 136 inf + 1543 137.241 * * [simplify]: Extracting #6: cost 76 inf + 15336 137.253 * * [simplify]: Extracting #7: cost 19 inf + 39887 137.270 * * [simplify]: Extracting #8: cost 1 inf + 56477 137.288 * * [simplify]: Extracting #9: cost 0 inf + 57357 137.306 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 137.306 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 137.306 * * * * [progress]: [ 213 / 307 ] simplifiying candidate # 137.307 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 1)) 137.307 * * [simplify]: iters left: 4 (4 enodes) 137.312 * * [simplify]: iters left: 3 (12 enodes) 137.314 * * [simplify]: iters left: 2 (14 enodes) 137.316 * * [simplify]: Extracting #0: cost 1 inf + 0 137.316 * * [simplify]: Extracting #1: cost 0 inf + 1 137.316 * [simplify]: Simplified to 1 137.316 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 137.316 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 137.316 * * [simplify]: iters left: 6 (14 enodes) 137.320 * * [simplify]: iters left: 5 (59 enodes) 137.333 * * [simplify]: iters left: 4 (103 enodes) 137.361 * * [simplify]: iters left: 3 (165 enodes) 137.398 * * [simplify]: iters left: 2 (314 enodes) 137.549 * * [simplify]: Extracting #0: cost 1 inf + 0 137.549 * * [simplify]: Extracting #1: cost 56 inf + 0 137.550 * * [simplify]: Extracting #2: cost 152 inf + 1 137.551 * * [simplify]: Extracting #3: cost 195 inf + 86 137.553 * * [simplify]: Extracting #4: cost 187 inf + 1215 137.557 * * [simplify]: Extracting #5: cost 137 inf + 11621 137.573 * * [simplify]: Extracting #6: cost 48 inf + 64325 137.600 * * [simplify]: Extracting #7: cost 1 inf + 98423 137.618 * * [simplify]: Extracting #8: cost 0 inf + 98696 137.632 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 137.632 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 137.632 * * * * [progress]: [ 214 / 307 ] simplifiying candidate # 137.633 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 137.633 * * [simplify]: iters left: 6 (14 enodes) 137.638 * * [simplify]: iters left: 5 (62 enodes) 137.663 * * [simplify]: iters left: 4 (103 enodes) 137.695 * * [simplify]: iters left: 3 (161 enodes) 137.740 * * [simplify]: iters left: 2 (285 enodes) 137.820 * * [simplify]: Extracting #0: cost 1 inf + 0 137.820 * * [simplify]: Extracting #1: cost 21 inf + 0 137.821 * * [simplify]: Extracting #2: cost 81 inf + 2 137.821 * * [simplify]: Extracting #3: cost 124 inf + 301 137.822 * * [simplify]: Extracting #4: cost 119 inf + 641 137.823 * * [simplify]: Extracting #5: cost 79 inf + 4450 137.826 * * [simplify]: Extracting #6: cost 25 inf + 24197 137.832 * * [simplify]: Extracting #7: cost 0 inf + 44139 137.838 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 137.839 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 137.839 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 137.839 * * [simplify]: iters left: 6 (15 enodes) 137.845 * * [simplify]: iters left: 5 (65 enodes) 137.862 * * [simplify]: iters left: 4 (109 enodes) 137.882 * * [simplify]: iters left: 3 (183 enodes) 137.920 * * [simplify]: iters left: 2 (370 enodes) 138.061 * * [simplify]: Extracting #0: cost 1 inf + 0 138.061 * * [simplify]: Extracting #1: cost 42 inf + 0 138.062 * * [simplify]: Extracting #2: cost 132 inf + 1 138.063 * * [simplify]: Extracting #3: cost 186 inf + 127 138.065 * * [simplify]: Extracting #4: cost 179 inf + 2752 138.070 * * [simplify]: Extracting #5: cost 124 inf + 11902 138.087 * * [simplify]: Extracting #6: cost 25 inf + 73950 138.112 * * [simplify]: Extracting #7: cost 1 inf + 90027 138.138 * * [simplify]: Extracting #8: cost 0 inf + 90039 138.164 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 138.164 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 138.165 * * * * [progress]: [ 215 / 307 ] simplifiying candidate # 138.165 * [simplify]: Simplifying (/ (sqrt 1) 1) 138.165 * * [simplify]: iters left: 3 (3 enodes) 138.168 * * [simplify]: iters left: 2 (9 enodes) 138.171 * * [simplify]: iters left: 1 (11 enodes) 138.174 * * [simplify]: Extracting #0: cost 1 inf + 0 138.174 * * [simplify]: Extracting #1: cost 0 inf + 1 138.174 * [simplify]: Simplified to 1 138.174 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 138.174 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 138.178 * * [simplify]: iters left: 6 (14 enodes) 138.182 * * [simplify]: iters left: 5 (59 enodes) 138.191 * * [simplify]: iters left: 4 (103 enodes) 138.209 * * [simplify]: iters left: 3 (165 enodes) 138.273 * * [simplify]: iters left: 2 (314 enodes) 138.373 * * [simplify]: Extracting #0: cost 1 inf + 0 138.373 * * [simplify]: Extracting #1: cost 56 inf + 0 138.374 * * [simplify]: Extracting #2: cost 152 inf + 1 138.375 * * [simplify]: Extracting #3: cost 195 inf + 86 138.377 * * [simplify]: Extracting #4: cost 187 inf + 1215 138.381 * * [simplify]: Extracting #5: cost 137 inf + 11621 138.397 * * [simplify]: Extracting #6: cost 48 inf + 64325 138.410 * * [simplify]: Extracting #7: cost 1 inf + 98423 138.424 * * [simplify]: Extracting #8: cost 0 inf + 98696 138.447 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 138.447 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 138.447 * * * * [progress]: [ 216 / 307 ] simplifiying candidate # 138.447 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 138.447 * * [simplify]: iters left: 3 (5 enodes) 138.452 * * [simplify]: iters left: 2 (17 enodes) 138.457 * * [simplify]: iters left: 1 (19 enodes) 138.466 * * [simplify]: Extracting #0: cost 1 inf + 0 138.466 * * [simplify]: Extracting #1: cost 4 inf + 0 138.466 * * [simplify]: Extracting #2: cost 5 inf + 1 138.466 * * [simplify]: Extracting #3: cost 0 inf + 248 138.466 * [simplify]: Simplified to (/ 1 (sqrt k)) 138.466 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 138.467 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 138.467 * * [simplify]: iters left: 6 (13 enodes) 138.475 * * [simplify]: iters left: 5 (56 enodes) 138.494 * * [simplify]: iters left: 4 (91 enodes) 138.522 * * [simplify]: iters left: 3 (132 enodes) 138.563 * * [simplify]: iters left: 2 (220 enodes) 138.651 * * [simplify]: iters left: 1 (428 enodes) 138.932 * * [simplify]: Extracting #0: cost 1 inf + 0 138.932 * * [simplify]: Extracting #1: cost 48 inf + 0 138.934 * * [simplify]: Extracting #2: cost 182 inf + 2 138.936 * * [simplify]: Extracting #3: cost 237 inf + 218 138.938 * * [simplify]: Extracting #4: cost 216 inf + 2342 138.947 * * [simplify]: Extracting #5: cost 103 inf + 49334 138.968 * * [simplify]: Extracting #6: cost 8 inf + 121415 139.003 * * [simplify]: Extracting #7: cost 0 inf + 121630 139.043 * * [simplify]: Extracting #8: cost 0 inf + 119162 139.077 * * [simplify]: Extracting #9: cost 0 inf + 119031 139.130 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 139.130 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 139.130 * * * * [progress]: [ 217 / 307 ] simplifiying candidate # 139.130 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 139.130 * * [simplify]: iters left: 6 (13 enodes) 139.136 * * [simplify]: iters left: 5 (51 enodes) 139.145 * * [simplify]: iters left: 4 (88 enodes) 139.170 * * [simplify]: iters left: 3 (155 enodes) 139.216 * * [simplify]: iters left: 2 (306 enodes) 139.360 * * [simplify]: Extracting #0: cost 1 inf + 0 139.360 * * [simplify]: Extracting #1: cost 40 inf + 0 139.361 * * [simplify]: Extracting #2: cost 108 inf + 1 139.362 * * [simplify]: Extracting #3: cost 107 inf + 255 139.363 * * [simplify]: Extracting #4: cost 102 inf + 679 139.367 * * [simplify]: Extracting #5: cost 51 inf + 23537 139.380 * * [simplify]: Extracting #6: cost 0 inf + 53661 139.391 * [simplify]: Simplified to (/ (sqrt (* (* 2 PI) n)) (sqrt k)) 139.391 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 139.392 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))) 139.392 * * [simplify]: iters left: 6 (11 enodes) 139.395 * * [simplify]: iters left: 5 (42 enodes) 139.401 * * [simplify]: iters left: 4 (66 enodes) 139.411 * * [simplify]: iters left: 3 (101 enodes) 139.428 * * [simplify]: iters left: 2 (171 enodes) 139.474 * * [simplify]: iters left: 1 (319 enodes) 139.650 * * [simplify]: Extracting #0: cost 1 inf + 0 139.650 * * [simplify]: Extracting #1: cost 6 inf + 0 139.650 * * [simplify]: Extracting #2: cost 38 inf + 1 139.651 * * [simplify]: Extracting #3: cost 127 inf + 2 139.652 * * [simplify]: Extracting #4: cost 156 inf + 177 139.657 * * [simplify]: Extracting #5: cost 89 inf + 15817 139.676 * * [simplify]: Extracting #6: cost 12 inf + 49508 139.706 * * [simplify]: Extracting #7: cost 0 inf + 56041 139.720 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 139.721 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 139.721 * * * * [progress]: [ 218 / 307 ] simplifiying candidate # 139.721 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 139.721 * * [simplify]: iters left: 6 (15 enodes) 139.725 * * [simplify]: iters left: 5 (62 enodes) 139.745 * * [simplify]: iters left: 4 (99 enodes) 139.767 * * [simplify]: iters left: 3 (143 enodes) 139.792 * * [simplify]: iters left: 2 (222 enodes) 139.869 * * [simplify]: iters left: 1 (384 enodes) 139.999 * * [simplify]: Extracting #0: cost 1 inf + 0 140.000 * * [simplify]: Extracting #1: cost 6 inf + 0 140.000 * * [simplify]: Extracting #2: cost 9 inf + 1 140.000 * * [simplify]: Extracting #3: cost 14 inf + 1 140.000 * * [simplify]: Extracting #4: cost 43 inf + 1 140.000 * * [simplify]: Extracting #5: cost 128 inf + 3 140.001 * * [simplify]: Extracting #6: cost 157 inf + 468 140.007 * * [simplify]: Extracting #7: cost 98 inf + 19153 140.025 * * [simplify]: Extracting #8: cost 13 inf + 66916 140.049 * * [simplify]: Extracting #9: cost 0 inf + 73748 140.064 * * [simplify]: Extracting #10: cost 0 inf + 71275 140.082 * * [simplify]: Extracting #11: cost 0 inf + 70865 140.101 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 140.101 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 140.102 * [simplify]: Simplifying (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 140.102 * * [simplify]: iters left: 6 (14 enodes) 140.106 * * [simplify]: iters left: 5 (57 enodes) 140.115 * * [simplify]: iters left: 4 (92 enodes) 140.140 * * [simplify]: iters left: 3 (132 enodes) 140.181 * * [simplify]: iters left: 2 (206 enodes) 140.253 * * [simplify]: iters left: 1 (376 enodes) 140.353 * * [simplify]: Extracting #0: cost 1 inf + 0 140.354 * * [simplify]: Extracting #1: cost 4 inf + 0 140.354 * * [simplify]: Extracting #2: cost 5 inf + 1 140.354 * * [simplify]: Extracting #3: cost 10 inf + 1 140.354 * * [simplify]: Extracting #4: cost 40 inf + 1 140.355 * * [simplify]: Extracting #5: cost 131 inf + 3 140.356 * * [simplify]: Extracting #6: cost 161 inf + 386 140.360 * * [simplify]: Extracting #7: cost 108 inf + 10823 140.377 * * [simplify]: Extracting #8: cost 19 inf + 59633 140.404 * * [simplify]: Extracting #9: cost 0 inf + 71978 140.431 * * [simplify]: Extracting #10: cost 0 inf + 68928 140.448 * * [simplify]: Extracting #11: cost 0 inf + 68666 140.466 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 140.466 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))) 140.466 * * * * [progress]: [ 219 / 307 ] simplifiying candidate # 140.467 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 140.467 * * [simplify]: iters left: 6 (14 enodes) 140.471 * * [simplify]: iters left: 5 (57 enodes) 140.480 * * [simplify]: iters left: 4 (92 enodes) 140.505 * * [simplify]: iters left: 3 (132 enodes) 140.526 * * [simplify]: iters left: 2 (206 enodes) 140.592 * * [simplify]: iters left: 1 (376 enodes) 140.763 * * [simplify]: Extracting #0: cost 1 inf + 0 140.763 * * [simplify]: Extracting #1: cost 4 inf + 0 140.763 * * [simplify]: Extracting #2: cost 5 inf + 1 140.763 * * [simplify]: Extracting #3: cost 10 inf + 1 140.764 * * [simplify]: Extracting #4: cost 40 inf + 1 140.764 * * [simplify]: Extracting #5: cost 131 inf + 3 140.766 * * [simplify]: Extracting #6: cost 161 inf + 386 140.770 * * [simplify]: Extracting #7: cost 108 inf + 10823 140.787 * * [simplify]: Extracting #8: cost 19 inf + 59513 140.811 * * [simplify]: Extracting #9: cost 0 inf + 71818 140.826 * * [simplify]: Extracting #10: cost 0 inf + 68768 140.846 * * [simplify]: Extracting #11: cost 0 inf + 68506 140.872 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 140.872 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 140.872 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 140.872 * * [simplify]: iters left: 6 (14 enodes) 140.876 * * [simplify]: iters left: 5 (57 enodes) 140.886 * * [simplify]: iters left: 4 (92 enodes) 140.906 * * [simplify]: iters left: 3 (132 enodes) 140.940 * * [simplify]: iters left: 2 (206 enodes) 140.989 * * [simplify]: iters left: 1 (376 enodes) 141.136 * * [simplify]: Extracting #0: cost 1 inf + 0 141.136 * * [simplify]: Extracting #1: cost 4 inf + 0 141.136 * * [simplify]: Extracting #2: cost 5 inf + 1 141.136 * * [simplify]: Extracting #3: cost 10 inf + 1 141.136 * * [simplify]: Extracting #4: cost 40 inf + 1 141.137 * * [simplify]: Extracting #5: cost 131 inf + 3 141.138 * * [simplify]: Extracting #6: cost 161 inf + 386 141.142 * * [simplify]: Extracting #7: cost 108 inf + 10823 141.159 * * [simplify]: Extracting #8: cost 19 inf + 59513 141.186 * * [simplify]: Extracting #9: cost 0 inf + 71818 141.216 * * [simplify]: Extracting #10: cost 0 inf + 68768 141.247 * * [simplify]: Extracting #11: cost 0 inf + 68506 141.279 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 141.279 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))) 141.279 * * * * [progress]: [ 220 / 307 ] simplifiying candidate # 141.280 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 141.280 * * [simplify]: iters left: 6 (12 enodes) 141.287 * * [simplify]: iters left: 5 (51 enodes) 141.309 * * [simplify]: iters left: 4 (95 enodes) 141.328 * * [simplify]: iters left: 3 (184 enodes) 141.396 * * [simplify]: iters left: 2 (433 enodes) 141.613 * * [simplify]: Extracting #0: cost 1 inf + 0 141.613 * * [simplify]: Extracting #1: cost 92 inf + 0 141.615 * * [simplify]: Extracting #2: cost 257 inf + 1 141.617 * * [simplify]: Extracting #3: cost 310 inf + 4 141.621 * * [simplify]: Extracting #4: cost 273 inf + 10674 141.643 * * [simplify]: Extracting #5: cost 150 inf + 67997 141.682 * * [simplify]: Extracting #6: cost 29 inf + 156372 141.732 * * [simplify]: Extracting #7: cost 0 inf + 176537 141.763 * * [simplify]: Extracting #8: cost 0 inf + 176275 141.797 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 141.797 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 141.797 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 141.797 * * [simplify]: iters left: 6 (12 enodes) 141.801 * * [simplify]: iters left: 5 (50 enodes) 141.809 * * [simplify]: iters left: 4 (84 enodes) 141.824 * * [simplify]: iters left: 3 (138 enodes) 141.858 * * [simplify]: iters left: 2 (280 enodes) 141.955 * * [simplify]: Extracting #0: cost 1 inf + 0 141.955 * * [simplify]: Extracting #1: cost 49 inf + 0 141.956 * * [simplify]: Extracting #2: cost 133 inf + 1 141.957 * * [simplify]: Extracting #3: cost 177 inf + 3 141.958 * * [simplify]: Extracting #4: cost 172 inf + 962 141.961 * * [simplify]: Extracting #5: cost 132 inf + 7689 141.973 * * [simplify]: Extracting #6: cost 79 inf + 29560 141.991 * * [simplify]: Extracting #7: cost 14 inf + 75836 142.013 * * [simplify]: Extracting #8: cost 0 inf + 84622 142.036 * * [simplify]: Extracting #9: cost 0 inf + 84371 142.058 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 142.058 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 142.058 * * * * [progress]: [ 221 / 307 ] simplifiying candidate # 142.059 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 142.059 * * [simplify]: iters left: 6 (17 enodes) 142.068 * * [simplify]: iters left: 5 (74 enodes) 142.094 * * [simplify]: iters left: 4 (132 enodes) 142.140 * * [simplify]: iters left: 3 (206 enodes) 142.214 * * [simplify]: iters left: 2 (343 enodes) 142.317 * * [simplify]: Extracting #0: cost 1 inf + 0 142.317 * * [simplify]: Extracting #1: cost 17 inf + 0 142.317 * * [simplify]: Extracting #2: cost 31 inf + 1 142.318 * * [simplify]: Extracting #3: cost 46 inf + 1 142.318 * * [simplify]: Extracting #4: cost 91 inf + 3 142.319 * * [simplify]: Extracting #5: cost 110 inf + 1232 142.323 * * [simplify]: Extracting #6: cost 56 inf + 13386 142.334 * * [simplify]: Extracting #7: cost 11 inf + 31953 142.347 * * [simplify]: Extracting #8: cost 0 inf + 39885 142.360 * * [simplify]: Extracting #9: cost 0 inf + 39754 142.371 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 142.372 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 142.372 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 142.372 * * [simplify]: iters left: 6 (15 enodes) 142.376 * * [simplify]: iters left: 5 (62 enodes) 142.388 * * [simplify]: iters left: 4 (96 enodes) 142.407 * * [simplify]: iters left: 3 (136 enodes) 142.453 * * [simplify]: iters left: 2 (234 enodes) 142.514 * * [simplify]: iters left: 1 (389 enodes) 142.673 * * [simplify]: Extracting #0: cost 1 inf + 0 142.673 * * [simplify]: Extracting #1: cost 7 inf + 0 142.674 * * [simplify]: Extracting #2: cost 12 inf + 1 142.674 * * [simplify]: Extracting #3: cost 36 inf + 1 142.674 * * [simplify]: Extracting #4: cost 107 inf + 3 142.676 * * [simplify]: Extracting #5: cost 154 inf + 834 142.682 * * [simplify]: Extracting #6: cost 82 inf + 19979 142.691 * * [simplify]: Extracting #7: cost 22 inf + 45168 142.703 * * [simplify]: Extracting #8: cost 0 inf + 61999 142.712 * * [simplify]: Extracting #9: cost 0 inf + 60785 142.725 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))) 142.725 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))))) 142.725 * * * * [progress]: [ 222 / 307 ] simplifiying candidate # 142.725 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 142.725 * * [simplify]: iters left: 6 (16 enodes) 142.734 * * [simplify]: iters left: 5 (67 enodes) 142.753 * * [simplify]: iters left: 4 (109 enodes) 142.771 * * [simplify]: iters left: 3 (165 enodes) 142.820 * * [simplify]: iters left: 2 (279 enodes) 142.892 * * [simplify]: iters left: 1 (442 enodes) 143.023 * * [simplify]: Extracting #0: cost 1 inf + 0 143.023 * * [simplify]: Extracting #1: cost 11 inf + 0 143.023 * * [simplify]: Extracting #2: cost 21 inf + 1 143.024 * * [simplify]: Extracting #3: cost 46 inf + 1 143.024 * * [simplify]: Extracting #4: cost 122 inf + 3 143.026 * * [simplify]: Extracting #5: cost 136 inf + 2267 143.032 * * [simplify]: Extracting #6: cost 70 inf + 20030 143.049 * * [simplify]: Extracting #7: cost 2 inf + 57613 143.069 * * [simplify]: Extracting #8: cost 0 inf + 59227 143.088 * * [simplify]: Extracting #9: cost 0 inf + 59188 143.107 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 143.107 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 143.107 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 143.107 * * [simplify]: iters left: 6 (15 enodes) 143.115 * * [simplify]: iters left: 5 (62 enodes) 143.140 * * [simplify]: iters left: 4 (97 enodes) 143.170 * * [simplify]: iters left: 3 (140 enodes) 143.218 * * [simplify]: iters left: 2 (244 enodes) 143.284 * * [simplify]: iters left: 1 (411 enodes) 143.472 * * [simplify]: Extracting #0: cost 1 inf + 0 143.472 * * [simplify]: Extracting #1: cost 7 inf + 0 143.472 * * [simplify]: Extracting #2: cost 13 inf + 1 143.473 * * [simplify]: Extracting #3: cost 40 inf + 1 143.473 * * [simplify]: Extracting #4: cost 122 inf + 3 143.475 * * [simplify]: Extracting #5: cost 149 inf + 1659 143.479 * * [simplify]: Extracting #6: cost 77 inf + 18732 143.488 * * [simplify]: Extracting #7: cost 15 inf + 50045 143.501 * * [simplify]: Extracting #8: cost 0 inf + 58256 143.518 * * [simplify]: Extracting #9: cost 0 inf + 57889 143.539 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))) 143.539 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))))) 143.539 * * * * [progress]: [ 223 / 307 ] simplifiying candidate # 143.540 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 143.540 * * [simplify]: iters left: 6 (7 enodes) 143.544 * * [simplify]: iters left: 5 (25 enodes) 143.553 * * [simplify]: iters left: 4 (38 enodes) 143.563 * * [simplify]: iters left: 3 (41 enodes) 143.574 * * [simplify]: iters left: 2 (42 enodes) 143.583 * * [simplify]: Extracting #0: cost 1 inf + 0 143.583 * * [simplify]: Extracting #1: cost 6 inf + 0 143.583 * * [simplify]: Extracting #2: cost 9 inf + 1 143.583 * * [simplify]: Extracting #3: cost 11 inf + 1 143.583 * * [simplify]: Extracting #4: cost 10 inf + 2 143.584 * * [simplify]: Extracting #5: cost 2 inf + 1093 143.584 * * [simplify]: Extracting #6: cost 0 inf + 1376 143.585 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 143.585 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 143.585 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 143.585 * * [simplify]: iters left: 6 (14 enodes) 143.593 * * [simplify]: iters left: 5 (59 enodes) 143.612 * * [simplify]: iters left: 4 (101 enodes) 143.643 * * [simplify]: iters left: 3 (156 enodes) 143.697 * * [simplify]: iters left: 2 (296 enodes) 143.781 * * [simplify]: Extracting #0: cost 1 inf + 0 143.781 * * [simplify]: Extracting #1: cost 50 inf + 0 143.782 * * [simplify]: Extracting #2: cost 127 inf + 1 143.782 * * [simplify]: Extracting #3: cost 176 inf + 3 143.783 * * [simplify]: Extracting #4: cost 172 inf + 755 143.784 * * [simplify]: Extracting #5: cost 125 inf + 10920 143.794 * * [simplify]: Extracting #6: cost 59 inf + 40958 143.817 * * [simplify]: Extracting #7: cost 2 inf + 88007 143.836 * * [simplify]: Extracting #8: cost 0 inf + 90112 143.850 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 143.851 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 143.851 * * * * [progress]: [ 224 / 307 ] simplifiying candidate # 143.851 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 143.851 * * [simplify]: iters left: 6 (16 enodes) 143.856 * * [simplify]: iters left: 5 (70 enodes) 143.877 * * [simplify]: iters left: 4 (125 enodes) 143.901 * * [simplify]: iters left: 3 (234 enodes) 143.997 * * [simplify]: Extracting #0: cost 1 inf + 0 143.997 * * [simplify]: Extracting #1: cost 32 inf + 0 143.997 * * [simplify]: Extracting #2: cost 100 inf + 1 143.998 * * [simplify]: Extracting #3: cost 144 inf + 2 143.999 * * [simplify]: Extracting #4: cost 141 inf + 951 144.000 * * [simplify]: Extracting #5: cost 87 inf + 11520 144.007 * * [simplify]: Extracting #6: cost 17 inf + 44406 144.016 * * [simplify]: Extracting #7: cost 1 inf + 55954 144.029 * * [simplify]: Extracting #8: cost 0 inf + 56781 144.038 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 144.038 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 144.038 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 144.038 * * [simplify]: iters left: 6 (15 enodes) 144.042 * * [simplify]: iters left: 5 (65 enodes) 144.057 * * [simplify]: iters left: 4 (107 enodes) 144.092 * * [simplify]: iters left: 3 (174 enodes) 144.140 * * [simplify]: iters left: 2 (348 enodes) 144.277 * * [simplify]: Extracting #0: cost 1 inf + 0 144.277 * * [simplify]: Extracting #1: cost 41 inf + 0 144.278 * * [simplify]: Extracting #2: cost 116 inf + 1 144.279 * * [simplify]: Extracting #3: cost 175 inf + 3 144.280 * * [simplify]: Extracting #4: cost 182 inf + 590 144.285 * * [simplify]: Extracting #5: cost 123 inf + 14009 144.296 * * [simplify]: Extracting #6: cost 61 inf + 38689 144.318 * * [simplify]: Extracting #7: cost 15 inf + 74561 144.344 * * [simplify]: Extracting #8: cost 0 inf + 87106 144.368 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 144.368 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 144.368 * * * * [progress]: [ 225 / 307 ] simplifiying candidate # 144.368 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 144.368 * * [simplify]: iters left: 6 (12 enodes) 144.372 * * [simplify]: iters left: 5 (50 enodes) 144.381 * * [simplify]: iters left: 4 (84 enodes) 144.403 * * [simplify]: iters left: 3 (134 enodes) 144.439 * * [simplify]: iters left: 2 (271 enodes) 144.525 * * [simplify]: Extracting #0: cost 1 inf + 0 144.525 * * [simplify]: Extracting #1: cost 46 inf + 0 144.525 * * [simplify]: Extracting #2: cost 131 inf + 1 144.526 * * [simplify]: Extracting #3: cost 174 inf + 4 144.526 * * [simplify]: Extracting #4: cost 168 inf + 1205 144.528 * * [simplify]: Extracting #5: cost 128 inf + 7233 144.534 * * [simplify]: Extracting #6: cost 39 inf + 55303 144.549 * * [simplify]: Extracting #7: cost 1 inf + 81600 144.569 * * [simplify]: Extracting #8: cost 0 inf + 81249 144.590 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 144.590 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 144.590 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 144.591 * * [simplify]: iters left: 6 (12 enodes) 144.598 * * [simplify]: iters left: 5 (50 enodes) 144.620 * * [simplify]: iters left: 4 (84 enodes) 144.647 * * [simplify]: iters left: 3 (138 enodes) 144.701 * * [simplify]: iters left: 2 (280 enodes) 144.786 * * [simplify]: Extracting #0: cost 1 inf + 0 144.786 * * [simplify]: Extracting #1: cost 49 inf + 0 144.786 * * [simplify]: Extracting #2: cost 133 inf + 1 144.787 * * [simplify]: Extracting #3: cost 177 inf + 3 144.787 * * [simplify]: Extracting #4: cost 172 inf + 1002 144.789 * * [simplify]: Extracting #5: cost 132 inf + 7769 144.795 * * [simplify]: Extracting #6: cost 79 inf + 29640 144.813 * * [simplify]: Extracting #7: cost 14 inf + 75916 144.832 * * [simplify]: Extracting #8: cost 0 inf + 84702 144.843 * * [simplify]: Extracting #9: cost 0 inf + 84451 144.859 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 144.859 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 144.859 * * * * [progress]: [ 226 / 307 ] simplifiying candidate # 144.859 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 144.859 * * [simplify]: iters left: 6 (17 enodes) 144.869 * * [simplify]: iters left: 5 (71 enodes) 144.891 * * [simplify]: iters left: 4 (111 enodes) 144.927 * * [simplify]: iters left: 3 (162 enodes) 144.959 * * [simplify]: iters left: 2 (268 enodes) 145.031 * * [simplify]: iters left: 1 (434 enodes) 145.192 * * [simplify]: Extracting #0: cost 1 inf + 0 145.192 * * [simplify]: Extracting #1: cost 10 inf + 0 145.192 * * [simplify]: Extracting #2: cost 19 inf + 1 145.192 * * [simplify]: Extracting #3: cost 45 inf + 1 145.193 * * [simplify]: Extracting #4: cost 113 inf + 3 145.193 * * [simplify]: Extracting #5: cost 163 inf + 1033 145.196 * * [simplify]: Extracting #6: cost 96 inf + 11118 145.202 * * [simplify]: Extracting #7: cost 30 inf + 37935 145.212 * * [simplify]: Extracting #8: cost 1 inf + 63904 145.223 * * [simplify]: Extracting #9: cost 0 inf + 62341 145.234 * * [simplify]: Extracting #10: cost 0 inf + 61441 145.248 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt k))) 145.248 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 145.248 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 145.248 * * [simplify]: iters left: 6 (15 enodes) 145.252 * * [simplify]: iters left: 5 (62 enodes) 145.262 * * [simplify]: iters left: 4 (96 enodes) 145.283 * * [simplify]: iters left: 3 (136 enodes) 145.312 * * [simplify]: iters left: 2 (234 enodes) 145.372 * * [simplify]: iters left: 1 (389 enodes) 145.544 * * [simplify]: Extracting #0: cost 1 inf + 0 145.544 * * [simplify]: Extracting #1: cost 7 inf + 0 145.544 * * [simplify]: Extracting #2: cost 12 inf + 1 145.544 * * [simplify]: Extracting #3: cost 36 inf + 1 145.545 * * [simplify]: Extracting #4: cost 107 inf + 3 145.545 * * [simplify]: Extracting #5: cost 154 inf + 874 145.548 * * [simplify]: Extracting #6: cost 82 inf + 20059 145.558 * * [simplify]: Extracting #7: cost 22 inf + 45248 145.572 * * [simplify]: Extracting #8: cost 0 inf + 62079 145.590 * * [simplify]: Extracting #9: cost 0 inf + 60865 145.599 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))) 145.599 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))))) 145.599 * * * * [progress]: [ 227 / 307 ] simplifiying candidate # 145.600 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 145.600 * * [simplify]: iters left: 6 (16 enodes) 145.604 * * [simplify]: iters left: 5 (66 enodes) 145.615 * * [simplify]: iters left: 4 (101 enodes) 145.631 * * [simplify]: iters left: 3 (144 enodes) 145.659 * * [simplify]: iters left: 2 (245 enodes) 145.716 * * [simplify]: iters left: 1 (397 enodes) 145.862 * * [simplify]: Extracting #0: cost 1 inf + 0 145.862 * * [simplify]: Extracting #1: cost 7 inf + 0 145.862 * * [simplify]: Extracting #2: cost 14 inf + 1 145.862 * * [simplify]: Extracting #3: cost 45 inf + 1 145.863 * * [simplify]: Extracting #4: cost 122 inf + 3 145.863 * * [simplify]: Extracting #5: cost 161 inf + 1825 145.866 * * [simplify]: Extracting #6: cost 78 inf + 16547 145.873 * * [simplify]: Extracting #7: cost 14 inf + 50503 145.888 * * [simplify]: Extracting #8: cost 0 inf + 63542 145.908 * * [simplify]: Extracting #9: cost 0 inf + 63332 145.927 * * [simplify]: Extracting #10: cost 0 inf + 62953 145.940 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) 145.940 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 145.940 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 145.940 * * [simplify]: iters left: 6 (15 enodes) 145.944 * * [simplify]: iters left: 5 (62 enodes) 145.957 * * [simplify]: iters left: 4 (97 enodes) 145.974 * * [simplify]: iters left: 3 (140 enodes) 146.022 * * [simplify]: iters left: 2 (244 enodes) 146.091 * * [simplify]: iters left: 1 (411 enodes) 146.223 * * [simplify]: Extracting #0: cost 1 inf + 0 146.223 * * [simplify]: Extracting #1: cost 7 inf + 0 146.223 * * [simplify]: Extracting #2: cost 13 inf + 1 146.223 * * [simplify]: Extracting #3: cost 40 inf + 1 146.224 * * [simplify]: Extracting #4: cost 122 inf + 3 146.225 * * [simplify]: Extracting #5: cost 149 inf + 1699 146.231 * * [simplify]: Extracting #6: cost 77 inf + 18812 146.247 * * [simplify]: Extracting #7: cost 15 inf + 50125 146.271 * * [simplify]: Extracting #8: cost 0 inf + 58336 146.293 * * [simplify]: Extracting #9: cost 0 inf + 57969 146.314 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))) 146.314 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))))) 146.315 * * * * [progress]: [ 228 / 307 ] simplifiying candidate # 146.315 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 146.315 * * [simplify]: iters left: 6 (7 enodes) 146.319 * * [simplify]: iters left: 5 (23 enodes) 146.326 * * [simplify]: iters left: 4 (29 enodes) 146.334 * * [simplify]: Extracting #0: cost 1 inf + 0 146.334 * * [simplify]: Extracting #1: cost 4 inf + 0 146.334 * * [simplify]: Extracting #2: cost 6 inf + 1 146.334 * * [simplify]: Extracting #3: cost 9 inf + 1 146.335 * * [simplify]: Extracting #4: cost 8 inf + 2 146.335 * * [simplify]: Extracting #5: cost 2 inf + 689 146.335 * * [simplify]: Extracting #6: cost 0 inf + 972 146.335 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 146.335 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 146.336 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 146.336 * * [simplify]: iters left: 6 (14 enodes) 146.343 * * [simplify]: iters left: 5 (59 enodes) 146.363 * * [simplify]: iters left: 4 (101 enodes) 146.395 * * [simplify]: iters left: 3 (156 enodes) 146.429 * * [simplify]: iters left: 2 (296 enodes) 146.531 * * [simplify]: Extracting #0: cost 1 inf + 0 146.532 * * [simplify]: Extracting #1: cost 50 inf + 0 146.532 * * [simplify]: Extracting #2: cost 127 inf + 1 146.533 * * [simplify]: Extracting #3: cost 176 inf + 3 146.535 * * [simplify]: Extracting #4: cost 172 inf + 795 146.538 * * [simplify]: Extracting #5: cost 125 inf + 11000 146.545 * * [simplify]: Extracting #6: cost 59 inf + 41038 146.557 * * [simplify]: Extracting #7: cost 2 inf + 88087 146.569 * * [simplify]: Extracting #8: cost 0 inf + 90192 146.589 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 146.589 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 146.589 * * * * [progress]: [ 229 / 307 ] simplifiying candidate # 146.590 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 146.590 * * [simplify]: iters left: 6 (16 enodes) 146.599 * * [simplify]: iters left: 5 (69 enodes) 146.622 * * [simplify]: iters left: 4 (111 enodes) 146.656 * * [simplify]: iters left: 3 (178 enodes) 146.724 * * [simplify]: iters left: 2 (351 enodes) 146.834 * * [simplify]: Extracting #0: cost 1 inf + 0 146.834 * * [simplify]: Extracting #1: cost 38 inf + 0 146.834 * * [simplify]: Extracting #2: cost 117 inf + 1 146.835 * * [simplify]: Extracting #3: cost 174 inf + 3 146.836 * * [simplify]: Extracting #4: cost 172 inf + 960 146.838 * * [simplify]: Extracting #5: cost 119 inf + 11373 146.847 * * [simplify]: Extracting #6: cost 39 inf + 51012 146.865 * * [simplify]: Extracting #7: cost 1 inf + 79527 146.886 * * [simplify]: Extracting #8: cost 0 inf + 79052 146.902 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (/ (- 1 k) 4)) (fabs (cbrt k))) 146.902 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 146.903 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 146.903 * * [simplify]: iters left: 6 (15 enodes) 146.907 * * [simplify]: iters left: 5 (65 enodes) 146.921 * * [simplify]: iters left: 4 (107 enodes) 146.951 * * [simplify]: iters left: 3 (174 enodes) 146.989 * * [simplify]: iters left: 2 (348 enodes) 147.082 * * [simplify]: Extracting #0: cost 1 inf + 0 147.082 * * [simplify]: Extracting #1: cost 41 inf + 0 147.083 * * [simplify]: Extracting #2: cost 116 inf + 1 147.084 * * [simplify]: Extracting #3: cost 175 inf + 3 147.085 * * [simplify]: Extracting #4: cost 182 inf + 630 147.090 * * [simplify]: Extracting #5: cost 123 inf + 14089 147.105 * * [simplify]: Extracting #6: cost 61 inf + 38769 147.118 * * [simplify]: Extracting #7: cost 15 inf + 74641 147.131 * * [simplify]: Extracting #8: cost 0 inf + 87186 147.150 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 147.150 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 147.150 * * * * [progress]: [ 230 / 307 ] simplifiying candidate # 147.150 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 147.150 * * [simplify]: iters left: 6 (11 enodes) 147.153 * * [simplify]: iters left: 5 (46 enodes) 147.161 * * [simplify]: iters left: 4 (76 enodes) 147.174 * * [simplify]: iters left: 3 (131 enodes) 147.222 * * [simplify]: iters left: 2 (288 enodes) 147.317 * * [simplify]: Extracting #0: cost 1 inf + 0 147.317 * * [simplify]: Extracting #1: cost 48 inf + 0 147.318 * * [simplify]: Extracting #2: cost 125 inf + 1 147.319 * * [simplify]: Extracting #3: cost 169 inf + 4 147.320 * * [simplify]: Extracting #4: cost 158 inf + 1257 147.324 * * [simplify]: Extracting #5: cost 107 inf + 13010 147.338 * * [simplify]: Extracting #6: cost 13 inf + 64399 147.352 * * [simplify]: Extracting #7: cost 0 inf + 75048 147.362 * [simplify]: Simplified to (/ (pow n (* 1/2 (- 1 k))) (sqrt (sqrt k))) 147.362 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (* 1/2 (- 1 k))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 147.362 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 147.362 * * [simplify]: iters left: 6 (12 enodes) 147.366 * * [simplify]: iters left: 5 (50 enodes) 147.375 * * [simplify]: iters left: 4 (84 enodes) 147.401 * * [simplify]: iters left: 3 (138 enodes) 147.430 * * [simplify]: iters left: 2 (280 enodes) 147.561 * * [simplify]: Extracting #0: cost 1 inf + 0 147.562 * * [simplify]: Extracting #1: cost 49 inf + 0 147.562 * * [simplify]: Extracting #2: cost 133 inf + 1 147.563 * * [simplify]: Extracting #3: cost 177 inf + 3 147.565 * * [simplify]: Extracting #4: cost 172 inf + 882 147.568 * * [simplify]: Extracting #5: cost 132 inf + 7329 147.575 * * [simplify]: Extracting #6: cost 79 inf + 28320 147.594 * * [simplify]: Extracting #7: cost 14 inf + 73196 147.609 * * [simplify]: Extracting #8: cost 0 inf + 81582 147.620 * * [simplify]: Extracting #9: cost 0 inf + 81331 147.634 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 147.634 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 147.634 * * * * [progress]: [ 231 / 307 ] simplifiying candidate # 147.635 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 147.635 * * [simplify]: iters left: 6 (16 enodes) 147.639 * * [simplify]: iters left: 5 (67 enodes) 147.650 * * [simplify]: iters left: 4 (107 enodes) 147.667 * * [simplify]: iters left: 3 (155 enodes) 147.699 * * [simplify]: iters left: 2 (256 enodes) 147.746 * * [simplify]: iters left: 1 (413 enodes) 147.838 * * [simplify]: Extracting #0: cost 1 inf + 0 147.838 * * [simplify]: Extracting #1: cost 10 inf + 0 147.839 * * [simplify]: Extracting #2: cost 18 inf + 1 147.839 * * [simplify]: Extracting #3: cost 41 inf + 1 147.839 * * [simplify]: Extracting #4: cost 107 inf + 3 147.840 * * [simplify]: Extracting #5: cost 152 inf + 1002 147.846 * * [simplify]: Extracting #6: cost 77 inf + 18525 147.856 * * [simplify]: Extracting #7: cost 3 inf + 53008 147.869 * * [simplify]: Extracting #8: cost 0 inf + 51576 147.881 * * [simplify]: Extracting #9: cost 0 inf + 51256 147.893 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 147.893 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 147.894 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 147.894 * * [simplify]: iters left: 6 (15 enodes) 147.899 * * [simplify]: iters left: 5 (62 enodes) 147.919 * * [simplify]: iters left: 4 (96 enodes) 147.949 * * [simplify]: iters left: 3 (136 enodes) 147.999 * * [simplify]: iters left: 2 (234 enodes) 148.057 * * [simplify]: iters left: 1 (389 enodes) 148.210 * * [simplify]: Extracting #0: cost 1 inf + 0 148.210 * * [simplify]: Extracting #1: cost 7 inf + 0 148.210 * * [simplify]: Extracting #2: cost 12 inf + 1 148.210 * * [simplify]: Extracting #3: cost 36 inf + 1 148.210 * * [simplify]: Extracting #4: cost 107 inf + 3 148.211 * * [simplify]: Extracting #5: cost 154 inf + 754 148.213 * * [simplify]: Extracting #6: cost 82 inf + 19699 148.220 * * [simplify]: Extracting #7: cost 22 inf + 44848 148.229 * * [simplify]: Extracting #8: cost 0 inf + 61679 148.238 * * [simplify]: Extracting #9: cost 0 inf + 60465 148.248 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 148.248 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 148.248 * * * * [progress]: [ 232 / 307 ] simplifiying candidate # 148.248 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 148.248 * * [simplify]: iters left: 6 (15 enodes) 148.252 * * [simplify]: iters left: 5 (62 enodes) 148.274 * * [simplify]: iters left: 4 (97 enodes) 148.304 * * [simplify]: iters left: 3 (140 enodes) 148.340 * * [simplify]: iters left: 2 (244 enodes) 148.389 * * [simplify]: iters left: 1 (411 enodes) 148.525 * * [simplify]: Extracting #0: cost 1 inf + 0 148.525 * * [simplify]: Extracting #1: cost 7 inf + 0 148.525 * * [simplify]: Extracting #2: cost 13 inf + 1 148.526 * * [simplify]: Extracting #3: cost 40 inf + 1 148.526 * * [simplify]: Extracting #4: cost 122 inf + 3 148.527 * * [simplify]: Extracting #5: cost 149 inf + 1539 148.530 * * [simplify]: Extracting #6: cost 77 inf + 18452 148.538 * * [simplify]: Extracting #7: cost 15 inf + 49725 148.551 * * [simplify]: Extracting #8: cost 0 inf + 57936 148.562 * * [simplify]: Extracting #9: cost 0 inf + 57569 148.573 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 148.573 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 148.573 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 148.573 * * [simplify]: iters left: 6 (15 enodes) 148.578 * * [simplify]: iters left: 5 (62 enodes) 148.588 * * [simplify]: iters left: 4 (97 enodes) 148.603 * * [simplify]: iters left: 3 (140 enodes) 148.627 * * [simplify]: iters left: 2 (244 enodes) 148.695 * * [simplify]: iters left: 1 (411 enodes) 148.820 * * [simplify]: Extracting #0: cost 1 inf + 0 148.820 * * [simplify]: Extracting #1: cost 7 inf + 0 148.820 * * [simplify]: Extracting #2: cost 13 inf + 1 148.821 * * [simplify]: Extracting #3: cost 40 inf + 1 148.821 * * [simplify]: Extracting #4: cost 122 inf + 3 148.822 * * [simplify]: Extracting #5: cost 149 inf + 1539 148.825 * * [simplify]: Extracting #6: cost 77 inf + 18452 148.840 * * [simplify]: Extracting #7: cost 15 inf + 49725 148.860 * * [simplify]: Extracting #8: cost 0 inf + 57936 148.882 * * [simplify]: Extracting #9: cost 0 inf + 57569 148.899 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 148.899 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 148.899 * * * * [progress]: [ 233 / 307 ] simplifiying candidate # 148.899 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 148.899 * * [simplify]: iters left: 6 (6 enodes) 148.901 * * [simplify]: iters left: 5 (20 enodes) 148.904 * * [simplify]: iters left: 4 (24 enodes) 148.907 * * [simplify]: Extracting #0: cost 1 inf + 0 148.907 * * [simplify]: Extracting #1: cost 4 inf + 0 148.907 * * [simplify]: Extracting #2: cost 5 inf + 1 148.907 * * [simplify]: Extracting #3: cost 7 inf + 1 148.907 * * [simplify]: Extracting #4: cost 6 inf + 2 148.908 * * [simplify]: Extracting #5: cost 0 inf + 490 148.908 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 148.908 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 148.908 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 148.908 * * [simplify]: iters left: 6 (14 enodes) 148.912 * * [simplify]: iters left: 5 (59 enodes) 148.922 * * [simplify]: iters left: 4 (101 enodes) 148.954 * * [simplify]: iters left: 3 (156 enodes) 149.012 * * [simplify]: iters left: 2 (296 enodes) 149.115 * * [simplify]: Extracting #0: cost 1 inf + 0 149.115 * * [simplify]: Extracting #1: cost 50 inf + 0 149.116 * * [simplify]: Extracting #2: cost 127 inf + 1 149.117 * * [simplify]: Extracting #3: cost 176 inf + 3 149.119 * * [simplify]: Extracting #4: cost 172 inf + 675 149.122 * * [simplify]: Extracting #5: cost 125 inf + 10440 149.133 * * [simplify]: Extracting #6: cost 59 inf + 39438 149.157 * * [simplify]: Extracting #7: cost 2 inf + 84967 149.170 * * [simplify]: Extracting #8: cost 0 inf + 86992 149.183 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 149.183 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 149.183 * * * * [progress]: [ 234 / 307 ] simplifiying candidate # 149.183 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 149.183 * * [simplify]: iters left: 6 (15 enodes) 149.188 * * [simplify]: iters left: 5 (65 enodes) 149.198 * * [simplify]: iters left: 4 (107 enodes) 149.223 * * [simplify]: iters left: 3 (174 enodes) 149.267 * * [simplify]: iters left: 2 (348 enodes) 149.375 * * [simplify]: Extracting #0: cost 1 inf + 0 149.375 * * [simplify]: Extracting #1: cost 41 inf + 0 149.375 * * [simplify]: Extracting #2: cost 116 inf + 1 149.376 * * [simplify]: Extracting #3: cost 175 inf + 3 149.377 * * [simplify]: Extracting #4: cost 182 inf + 510 149.379 * * [simplify]: Extracting #5: cost 123 inf + 13449 149.385 * * [simplify]: Extracting #6: cost 61 inf + 37289 149.396 * * [simplify]: Extracting #7: cost 15 inf + 72081 149.410 * * [simplify]: Extracting #8: cost 0 inf + 84226 149.426 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 149.426 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 149.426 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 149.426 * * [simplify]: iters left: 6 (15 enodes) 149.431 * * [simplify]: iters left: 5 (65 enodes) 149.442 * * [simplify]: iters left: 4 (107 enodes) 149.464 * * [simplify]: iters left: 3 (174 enodes) 149.512 * * [simplify]: iters left: 2 (348 enodes) 149.621 * * [simplify]: Extracting #0: cost 1 inf + 0 149.622 * * [simplify]: Extracting #1: cost 41 inf + 0 149.622 * * [simplify]: Extracting #2: cost 116 inf + 1 149.623 * * [simplify]: Extracting #3: cost 175 inf + 3 149.623 * * [simplify]: Extracting #4: cost 182 inf + 510 149.626 * * [simplify]: Extracting #5: cost 123 inf + 13449 149.632 * * [simplify]: Extracting #6: cost 61 inf + 37289 149.648 * * [simplify]: Extracting #7: cost 15 inf + 72081 149.674 * * [simplify]: Extracting #8: cost 0 inf + 84226 149.699 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 149.699 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 149.699 * * * * [progress]: [ 235 / 307 ] simplifiying candidate # 149.700 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 149.700 * * [simplify]: iters left: 6 (10 enodes) 149.707 * * [simplify]: iters left: 5 (43 enodes) 149.716 * * [simplify]: iters left: 4 (68 enodes) 149.731 * * [simplify]: iters left: 3 (111 enodes) 149.752 * * [simplify]: iters left: 2 (222 enodes) 149.807 * * [simplify]: iters left: 1 (459 enodes) 150.144 * * [simplify]: Extracting #0: cost 1 inf + 0 150.144 * * [simplify]: Extracting #1: cost 47 inf + 0 150.145 * * [simplify]: Extracting #2: cost 186 inf + 3 150.147 * * [simplify]: Extracting #3: cost 232 inf + 8 150.149 * * [simplify]: Extracting #4: cost 227 inf + 473 150.154 * * [simplify]: Extracting #5: cost 175 inf + 7322 150.167 * * [simplify]: Extracting #6: cost 88 inf + 49987 150.197 * * [simplify]: Extracting #7: cost 4 inf + 116548 150.216 * * [simplify]: Extracting #8: cost 0 inf + 114066 150.237 * * [simplify]: Extracting #9: cost 0 inf + 111411 150.268 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 150.268 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 150.268 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 150.268 * * [simplify]: iters left: 6 (11 enodes) 150.275 * * [simplify]: iters left: 5 (47 enodes) 150.290 * * [simplify]: iters left: 4 (77 enodes) 150.310 * * [simplify]: iters left: 3 (132 enodes) 150.341 * * [simplify]: iters left: 2 (289 enodes) 150.473 * * [simplify]: Extracting #0: cost 1 inf + 0 150.473 * * [simplify]: Extracting #1: cost 41 inf + 0 150.473 * * [simplify]: Extracting #2: cost 121 inf + 1 150.474 * * [simplify]: Extracting #3: cost 164 inf + 168 150.475 * * [simplify]: Extracting #4: cost 158 inf + 1422 150.476 * * [simplify]: Extracting #5: cost 120 inf + 7933 150.480 * * [simplify]: Extracting #6: cost 71 inf + 30056 150.489 * * [simplify]: Extracting #7: cost 7 inf + 73706 150.499 * * [simplify]: Extracting #8: cost 0 inf + 76850 150.521 * * [simplify]: Extracting #9: cost 0 inf + 76730 150.542 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 150.542 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 150.542 * * * * [progress]: [ 236 / 307 ] simplifiying candidate # 150.543 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 150.543 * * [simplify]: iters left: 6 (15 enodes) 150.552 * * [simplify]: iters left: 5 (64 enodes) 150.574 * * [simplify]: iters left: 4 (106 enodes) 150.607 * * [simplify]: iters left: 3 (153 enodes) 150.653 * * [simplify]: iters left: 2 (231 enodes) 150.735 * * [simplify]: iters left: 1 (399 enodes) 150.940 * * [simplify]: Extracting #0: cost 1 inf + 0 150.941 * * [simplify]: Extracting #1: cost 6 inf + 0 150.941 * * [simplify]: Extracting #2: cost 9 inf + 1 150.941 * * [simplify]: Extracting #3: cost 33 inf + 1 150.941 * * [simplify]: Extracting #4: cost 105 inf + 2 150.942 * * [simplify]: Extracting #5: cost 154 inf + 176 150.944 * * [simplify]: Extracting #6: cost 150 inf + 602 150.947 * * [simplify]: Extracting #7: cost 93 inf + 9906 150.958 * * [simplify]: Extracting #8: cost 29 inf + 39567 150.976 * * [simplify]: Extracting #9: cost 1 inf + 62953 150.989 * * [simplify]: Extracting #10: cost 0 inf + 62004 150.999 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 150.999 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 150.999 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 150.999 * * [simplify]: iters left: 6 (14 enodes) 151.004 * * [simplify]: iters left: 5 (59 enodes) 151.022 * * [simplify]: iters left: 4 (97 enodes) 151.040 * * [simplify]: iters left: 3 (135 enodes) 151.075 * * [simplify]: iters left: 2 (215 enodes) 151.121 * * [simplify]: iters left: 1 (375 enodes) 151.278 * * [simplify]: Extracting #0: cost 1 inf + 0 151.278 * * [simplify]: Extracting #1: cost 7 inf + 0 151.279 * * [simplify]: Extracting #2: cost 12 inf + 1 151.279 * * [simplify]: Extracting #3: cost 35 inf + 2 151.280 * * [simplify]: Extracting #4: cost 110 inf + 167 151.281 * * [simplify]: Extracting #5: cost 154 inf + 465 151.285 * * [simplify]: Extracting #6: cost 94 inf + 10883 151.299 * * [simplify]: Extracting #7: cost 16 inf + 48615 151.317 * * [simplify]: Extracting #8: cost 0 inf + 62797 151.329 * * [simplify]: Extracting #9: cost 0 inf + 61202 151.339 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 151.339 * [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 (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 151.339 * * * * [progress]: [ 237 / 307 ] simplifiying candidate # 151.339 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 151.339 * * [simplify]: iters left: 6 (14 enodes) 151.346 * * [simplify]: iters left: 5 (59 enodes) 151.357 * * [simplify]: iters left: 4 (95 enodes) 151.385 * * [simplify]: iters left: 3 (135 enodes) 151.418 * * [simplify]: iters left: 2 (206 enodes) 151.457 * * [simplify]: iters left: 1 (372 enodes) 151.603 * * [simplify]: Extracting #0: cost 1 inf + 0 151.604 * * [simplify]: Extracting #1: cost 6 inf + 0 151.604 * * [simplify]: Extracting #2: cost 32 inf + 1 151.604 * * [simplify]: Extracting #3: cost 127 inf + 2 151.606 * * [simplify]: Extracting #4: cost 166 inf + 177 151.607 * * [simplify]: Extracting #5: cost 163 inf + 478 151.611 * * [simplify]: Extracting #6: cost 106 inf + 6261 151.618 * * [simplify]: Extracting #7: cost 59 inf + 20160 151.635 * * [simplify]: Extracting #8: cost 5 inf + 64501 151.657 * * [simplify]: Extracting #9: cost 0 inf + 67915 151.669 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 151.669 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 151.669 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 151.669 * * [simplify]: iters left: 6 (14 enodes) 151.673 * * [simplify]: iters left: 5 (59 enodes) 151.684 * * [simplify]: iters left: 4 (98 enodes) 151.699 * * [simplify]: iters left: 3 (136 enodes) 151.741 * * [simplify]: iters left: 2 (217 enodes) 151.795 * * [simplify]: iters left: 1 (385 enodes) 151.927 * * [simplify]: Extracting #0: cost 1 inf + 0 151.927 * * [simplify]: Extracting #1: cost 7 inf + 0 151.927 * * [simplify]: Extracting #2: cost 13 inf + 1 151.927 * * [simplify]: Extracting #3: cost 38 inf + 2 151.927 * * [simplify]: Extracting #4: cost 120 inf + 167 151.928 * * [simplify]: Extracting #5: cost 155 inf + 590 151.931 * * [simplify]: Extracting #6: cost 84 inf + 21700 151.946 * * [simplify]: Extracting #7: cost 10 inf + 57768 151.966 * * [simplify]: Extracting #8: cost 0 inf + 63114 151.981 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 151.981 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 151.981 * * * * [progress]: [ 238 / 307 ] simplifiying candidate # 151.981 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) 1)) 151.981 * * [simplify]: iters left: 5 (4 enodes) 151.985 * * [simplify]: iters left: 4 (14 enodes) 151.987 * * [simplify]: iters left: 3 (16 enodes) 151.989 * * [simplify]: Extracting #0: cost 1 inf + 0 151.989 * * [simplify]: Extracting #1: cost 0 inf + 1 151.989 * [simplify]: Simplified to 1 151.989 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 151.989 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 151.989 * * [simplify]: iters left: 6 (13 enodes) 151.993 * * [simplify]: iters left: 5 (56 enodes) 152.002 * * [simplify]: iters left: 4 (98 enodes) 152.021 * * [simplify]: iters left: 3 (153 enodes) 152.062 * * [simplify]: iters left: 2 (293 enodes) 152.187 * * [simplify]: Extracting #0: cost 1 inf + 0 152.187 * * [simplify]: Extracting #1: cost 50 inf + 0 152.188 * * [simplify]: Extracting #2: cost 126 inf + 1 152.189 * * [simplify]: Extracting #3: cost 168 inf + 127 152.191 * * [simplify]: Extracting #4: cost 164 inf + 1004 152.195 * * [simplify]: Extracting #5: cost 108 inf + 17323 152.210 * * [simplify]: Extracting #6: cost 24 inf + 65407 152.223 * * [simplify]: Extracting #7: cost 0 inf + 83227 152.235 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 152.236 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 152.236 * * * * [progress]: [ 239 / 307 ] simplifiying candidate # 152.236 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 152.236 * * [simplify]: iters left: 6 (14 enodes) 152.241 * * [simplify]: iters left: 5 (62 enodes) 152.264 * * [simplify]: iters left: 4 (105 enodes) 152.297 * * [simplify]: iters left: 3 (168 enodes) 152.353 * * [simplify]: iters left: 2 (298 enodes) 152.475 * * [simplify]: Extracting #0: cost 1 inf + 0 152.475 * * [simplify]: Extracting #1: cost 21 inf + 0 152.475 * * [simplify]: Extracting #2: cost 94 inf + 2 152.476 * * [simplify]: Extracting #3: cost 140 inf + 176 152.477 * * [simplify]: Extracting #4: cost 136 inf + 641 152.481 * * [simplify]: Extracting #5: cost 79 inf + 8817 152.489 * * [simplify]: Extracting #6: cost 32 inf + 26407 152.503 * * [simplify]: Extracting #7: cost 1 inf + 48539 152.518 * * [simplify]: Extracting #8: cost 0 inf + 49246 152.536 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 152.536 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 152.537 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 152.537 * * [simplify]: iters left: 6 (14 enodes) 152.545 * * [simplify]: iters left: 5 (62 enodes) 152.567 * * [simplify]: iters left: 4 (110 enodes) 152.604 * * [simplify]: iters left: 3 (185 enodes) 152.652 * * [simplify]: iters left: 2 (366 enodes) 152.794 * * [simplify]: Extracting #0: cost 1 inf + 0 152.794 * * [simplify]: Extracting #1: cost 51 inf + 0 152.794 * * [simplify]: Extracting #2: cost 132 inf + 1 152.795 * * [simplify]: Extracting #3: cost 187 inf + 127 152.796 * * [simplify]: Extracting #4: cost 174 inf + 1591 152.799 * * [simplify]: Extracting #5: cost 124 inf + 9977 152.815 * * [simplify]: Extracting #6: cost 38 inf + 60338 152.840 * * [simplify]: Extracting #7: cost 2 inf + 87832 152.867 * * [simplify]: Extracting #8: cost 0 inf + 88643 152.898 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 152.899 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 152.899 * * * * [progress]: [ 240 / 307 ] simplifiying candidate # 152.899 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 152.899 * * [simplify]: iters left: 6 (11 enodes) 152.906 * * [simplify]: iters left: 5 (46 enodes) 152.921 * * [simplify]: iters left: 4 (76 enodes) 152.945 * * [simplify]: iters left: 3 (131 enodes) 152.973 * * [simplify]: iters left: 2 (288 enodes) 153.070 * * [simplify]: Extracting #0: cost 1 inf + 0 153.070 * * [simplify]: Extracting #1: cost 48 inf + 0 153.071 * * [simplify]: Extracting #2: cost 125 inf + 1 153.071 * * [simplify]: Extracting #3: cost 169 inf + 4 153.072 * * [simplify]: Extracting #4: cost 158 inf + 1257 153.074 * * [simplify]: Extracting #5: cost 107 inf + 13010 153.088 * * [simplify]: Extracting #6: cost 13 inf + 64399 153.108 * * [simplify]: Extracting #7: cost 0 inf + 75048 153.125 * [simplify]: Simplified to (/ (pow n (* 1/2 (- 1 k))) (sqrt (sqrt k))) 153.125 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (* 1/2 (- 1 k))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 153.125 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 153.126 * * [simplify]: iters left: 6 (12 enodes) 153.129 * * [simplify]: iters left: 5 (50 enodes) 153.139 * * [simplify]: iters left: 4 (84 enodes) 153.153 * * [simplify]: iters left: 3 (138 enodes) 153.181 * * [simplify]: iters left: 2 (280 enodes) 153.250 * * [simplify]: Extracting #0: cost 1 inf + 0 153.250 * * [simplify]: Extracting #1: cost 49 inf + 0 153.251 * * [simplify]: Extracting #2: cost 133 inf + 1 153.251 * * [simplify]: Extracting #3: cost 177 inf + 3 153.252 * * [simplify]: Extracting #4: cost 172 inf + 882 153.253 * * [simplify]: Extracting #5: cost 132 inf + 7329 153.261 * * [simplify]: Extracting #6: cost 79 inf + 28320 153.278 * * [simplify]: Extracting #7: cost 14 inf + 73196 153.295 * * [simplify]: Extracting #8: cost 0 inf + 81582 153.306 * * [simplify]: Extracting #9: cost 0 inf + 81331 153.318 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 153.318 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 153.318 * * * * [progress]: [ 241 / 307 ] simplifiying candidate # 153.318 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 153.319 * * [simplify]: iters left: 6 (16 enodes) 153.327 * * [simplify]: iters left: 5 (67 enodes) 153.341 * * [simplify]: iters left: 4 (107 enodes) 153.360 * * [simplify]: iters left: 3 (155 enodes) 153.409 * * [simplify]: iters left: 2 (256 enodes) 153.470 * * [simplify]: iters left: 1 (413 enodes) 153.613 * * [simplify]: Extracting #0: cost 1 inf + 0 153.613 * * [simplify]: Extracting #1: cost 10 inf + 0 153.613 * * [simplify]: Extracting #2: cost 18 inf + 1 153.613 * * [simplify]: Extracting #3: cost 41 inf + 1 153.614 * * [simplify]: Extracting #4: cost 107 inf + 3 153.614 * * [simplify]: Extracting #5: cost 152 inf + 1002 153.618 * * [simplify]: Extracting #6: cost 77 inf + 18525 153.628 * * [simplify]: Extracting #7: cost 3 inf + 53008 153.642 * * [simplify]: Extracting #8: cost 0 inf + 51576 153.666 * * [simplify]: Extracting #9: cost 0 inf + 51256 153.693 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 153.693 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 153.694 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 153.694 * * [simplify]: iters left: 6 (15 enodes) 153.703 * * [simplify]: iters left: 5 (62 enodes) 153.715 * * [simplify]: iters left: 4 (96 enodes) 153.730 * * [simplify]: iters left: 3 (136 enodes) 153.772 * * [simplify]: iters left: 2 (234 enodes) 153.829 * * [simplify]: iters left: 1 (389 enodes) 153.986 * * [simplify]: Extracting #0: cost 1 inf + 0 153.986 * * [simplify]: Extracting #1: cost 7 inf + 0 153.986 * * [simplify]: Extracting #2: cost 12 inf + 1 153.986 * * [simplify]: Extracting #3: cost 36 inf + 1 153.987 * * [simplify]: Extracting #4: cost 107 inf + 3 153.988 * * [simplify]: Extracting #5: cost 154 inf + 754 153.993 * * [simplify]: Extracting #6: cost 82 inf + 19699 154.011 * * [simplify]: Extracting #7: cost 22 inf + 44848 154.029 * * [simplify]: Extracting #8: cost 0 inf + 61679 154.047 * * [simplify]: Extracting #9: cost 0 inf + 60465 154.065 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 154.065 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 154.065 * * * * [progress]: [ 242 / 307 ] simplifiying candidate # 154.065 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 154.066 * * [simplify]: iters left: 6 (15 enodes) 154.074 * * [simplify]: iters left: 5 (62 enodes) 154.086 * * [simplify]: iters left: 4 (97 enodes) 154.101 * * [simplify]: iters left: 3 (140 enodes) 154.142 * * [simplify]: iters left: 2 (244 enodes) 154.192 * * [simplify]: iters left: 1 (411 enodes) 154.322 * * [simplify]: Extracting #0: cost 1 inf + 0 154.322 * * [simplify]: Extracting #1: cost 7 inf + 0 154.322 * * [simplify]: Extracting #2: cost 13 inf + 1 154.322 * * [simplify]: Extracting #3: cost 40 inf + 1 154.323 * * [simplify]: Extracting #4: cost 122 inf + 3 154.324 * * [simplify]: Extracting #5: cost 149 inf + 1539 154.330 * * [simplify]: Extracting #6: cost 77 inf + 18452 154.346 * * [simplify]: Extracting #7: cost 15 inf + 49725 154.362 * * [simplify]: Extracting #8: cost 0 inf + 57936 154.373 * * [simplify]: Extracting #9: cost 0 inf + 57569 154.384 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 154.384 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 154.385 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 154.385 * * [simplify]: iters left: 6 (15 enodes) 154.389 * * [simplify]: iters left: 5 (62 enodes) 154.405 * * [simplify]: iters left: 4 (97 enodes) 154.432 * * [simplify]: iters left: 3 (140 enodes) 154.456 * * [simplify]: iters left: 2 (244 enodes) 154.527 * * [simplify]: iters left: 1 (411 enodes) 154.681 * * [simplify]: Extracting #0: cost 1 inf + 0 154.681 * * [simplify]: Extracting #1: cost 7 inf + 0 154.681 * * [simplify]: Extracting #2: cost 13 inf + 1 154.681 * * [simplify]: Extracting #3: cost 40 inf + 1 154.682 * * [simplify]: Extracting #4: cost 122 inf + 3 154.684 * * [simplify]: Extracting #5: cost 149 inf + 1539 154.689 * * [simplify]: Extracting #6: cost 77 inf + 18452 154.705 * * [simplify]: Extracting #7: cost 15 inf + 49725 154.726 * * [simplify]: Extracting #8: cost 0 inf + 57936 154.750 * * [simplify]: Extracting #9: cost 0 inf + 57569 154.772 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 154.772 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 154.772 * * * * [progress]: [ 243 / 307 ] simplifiying candidate # 154.772 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 154.772 * * [simplify]: iters left: 6 (6 enodes) 154.776 * * [simplify]: iters left: 5 (20 enodes) 154.783 * * [simplify]: iters left: 4 (24 enodes) 154.789 * * [simplify]: Extracting #0: cost 1 inf + 0 154.789 * * [simplify]: Extracting #1: cost 4 inf + 0 154.789 * * [simplify]: Extracting #2: cost 5 inf + 1 154.789 * * [simplify]: Extracting #3: cost 7 inf + 1 154.789 * * [simplify]: Extracting #4: cost 6 inf + 2 154.789 * * [simplify]: Extracting #5: cost 0 inf + 490 154.790 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 154.790 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 154.790 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 154.790 * * [simplify]: iters left: 6 (14 enodes) 154.794 * * [simplify]: iters left: 5 (59 enodes) 154.804 * * [simplify]: iters left: 4 (101 enodes) 154.820 * * [simplify]: iters left: 3 (156 enodes) 154.875 * * [simplify]: iters left: 2 (296 enodes) 154.980 * * [simplify]: Extracting #0: cost 1 inf + 0 154.980 * * [simplify]: Extracting #1: cost 50 inf + 0 154.981 * * [simplify]: Extracting #2: cost 127 inf + 1 154.982 * * [simplify]: Extracting #3: cost 176 inf + 3 154.983 * * [simplify]: Extracting #4: cost 172 inf + 675 154.987 * * [simplify]: Extracting #5: cost 125 inf + 10440 154.998 * * [simplify]: Extracting #6: cost 59 inf + 39438 155.021 * * [simplify]: Extracting #7: cost 2 inf + 84967 155.046 * * [simplify]: Extracting #8: cost 0 inf + 86992 155.071 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 155.071 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 155.071 * * * * [progress]: [ 244 / 307 ] simplifiying candidate # 155.071 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 155.072 * * [simplify]: iters left: 6 (15 enodes) 155.080 * * [simplify]: iters left: 5 (65 enodes) 155.106 * * [simplify]: iters left: 4 (107 enodes) 155.125 * * [simplify]: iters left: 3 (174 enodes) 155.171 * * [simplify]: iters left: 2 (348 enodes) 155.309 * * [simplify]: Extracting #0: cost 1 inf + 0 155.310 * * [simplify]: Extracting #1: cost 41 inf + 0 155.310 * * [simplify]: Extracting #2: cost 116 inf + 1 155.310 * * [simplify]: Extracting #3: cost 175 inf + 3 155.311 * * [simplify]: Extracting #4: cost 182 inf + 510 155.313 * * [simplify]: Extracting #5: cost 123 inf + 13449 155.325 * * [simplify]: Extracting #6: cost 61 inf + 37289 155.347 * * [simplify]: Extracting #7: cost 15 inf + 72081 155.373 * * [simplify]: Extracting #8: cost 0 inf + 84226 155.392 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 155.392 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 155.392 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 155.393 * * [simplify]: iters left: 6 (15 enodes) 155.397 * * [simplify]: iters left: 5 (65 enodes) 155.408 * * [simplify]: iters left: 4 (107 enodes) 155.440 * * [simplify]: iters left: 3 (174 enodes) 155.507 * * [simplify]: iters left: 2 (348 enodes) 155.643 * * [simplify]: Extracting #0: cost 1 inf + 0 155.643 * * [simplify]: Extracting #1: cost 41 inf + 0 155.644 * * [simplify]: Extracting #2: cost 116 inf + 1 155.645 * * [simplify]: Extracting #3: cost 175 inf + 3 155.646 * * [simplify]: Extracting #4: cost 182 inf + 510 155.651 * * [simplify]: Extracting #5: cost 123 inf + 13449 155.663 * * [simplify]: Extracting #6: cost 61 inf + 37289 155.687 * * [simplify]: Extracting #7: cost 15 inf + 72081 155.700 * * [simplify]: Extracting #8: cost 0 inf + 84226 155.713 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 155.713 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 155.713 * * * * [progress]: [ 245 / 307 ] simplifiying candidate # 155.713 * [simplify]: Simplifying (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) 155.713 * * [simplify]: iters left: 6 (9 enodes) 155.719 * * [simplify]: iters left: 5 (38 enodes) 155.732 * * [simplify]: iters left: 4 (66 enodes) 155.754 * * [simplify]: iters left: 3 (111 enodes) 155.783 * * [simplify]: iters left: 2 (214 enodes) 155.852 * * [simplify]: iters left: 1 (483 enodes) 156.228 * * [simplify]: Extracting #0: cost 1 inf + 0 156.228 * * [simplify]: Extracting #1: cost 65 inf + 0 156.229 * * [simplify]: Extracting #2: cost 259 inf + 3 156.231 * * [simplify]: Extracting #3: cost 326 inf + 7 156.233 * * [simplify]: Extracting #4: cost 297 inf + 4724 156.246 * * [simplify]: Extracting #5: cost 189 inf + 44075 156.283 * * [simplify]: Extracting #6: cost 30 inf + 157047 156.335 * * [simplify]: Extracting #7: cost 0 inf + 172891 156.385 * * [simplify]: Extracting #8: cost 0 inf + 171477 156.424 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 156.424 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 156.425 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 156.425 * * [simplify]: iters left: 6 (11 enodes) 156.431 * * [simplify]: iters left: 5 (47 enodes) 156.446 * * [simplify]: iters left: 4 (77 enodes) 156.475 * * [simplify]: iters left: 3 (132 enodes) 156.529 * * [simplify]: iters left: 2 (289 enodes) 156.607 * * [simplify]: Extracting #0: cost 1 inf + 0 156.607 * * [simplify]: Extracting #1: cost 41 inf + 0 156.608 * * [simplify]: Extracting #2: cost 121 inf + 1 156.608 * * [simplify]: Extracting #3: cost 164 inf + 168 156.610 * * [simplify]: Extracting #4: cost 158 inf + 1422 156.614 * * [simplify]: Extracting #5: cost 120 inf + 7933 156.621 * * [simplify]: Extracting #6: cost 71 inf + 30056 156.639 * * [simplify]: Extracting #7: cost 7 inf + 73706 156.659 * * [simplify]: Extracting #8: cost 0 inf + 76850 156.684 * * [simplify]: Extracting #9: cost 0 inf + 76730 156.703 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 156.703 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 156.703 * * * * [progress]: [ 246 / 307 ] simplifiying candidate # 156.704 * [simplify]: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 156.704 * * [simplify]: iters left: 6 (14 enodes) 156.708 * * [simplify]: iters left: 5 (59 enodes) 156.718 * * [simplify]: iters left: 4 (97 enodes) 156.740 * * [simplify]: iters left: 3 (146 enodes) 156.785 * * [simplify]: iters left: 2 (228 enodes) 156.850 * * [simplify]: iters left: 1 (390 enodes) 156.996 * * [simplify]: Extracting #0: cost 1 inf + 0 156.996 * * [simplify]: Extracting #1: cost 6 inf + 0 156.996 * * [simplify]: Extracting #2: cost 9 inf + 1 156.996 * * [simplify]: Extracting #3: cost 33 inf + 1 156.997 * * [simplify]: Extracting #4: cost 105 inf + 2 156.997 * * [simplify]: Extracting #5: cost 151 inf + 218 157.001 * * [simplify]: Extracting #6: cost 149 inf + 561 157.004 * * [simplify]: Extracting #7: cost 71 inf + 17239 157.011 * * [simplify]: Extracting #8: cost 12 inf + 52480 157.027 * * [simplify]: Extracting #9: cost 1 inf + 61792 157.046 * * [simplify]: Extracting #10: cost 0 inf + 62247 157.056 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 157.056 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 157.056 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 157.056 * * [simplify]: iters left: 6 (14 enodes) 157.060 * * [simplify]: iters left: 5 (59 enodes) 157.070 * * [simplify]: iters left: 4 (97 enodes) 157.087 * * [simplify]: iters left: 3 (135 enodes) 157.133 * * [simplify]: iters left: 2 (215 enodes) 157.205 * * [simplify]: iters left: 1 (375 enodes) 157.346 * * [simplify]: Extracting #0: cost 1 inf + 0 157.346 * * [simplify]: Extracting #1: cost 7 inf + 0 157.346 * * [simplify]: Extracting #2: cost 12 inf + 1 157.346 * * [simplify]: Extracting #3: cost 35 inf + 2 157.346 * * [simplify]: Extracting #4: cost 110 inf + 167 157.347 * * [simplify]: Extracting #5: cost 154 inf + 465 157.349 * * [simplify]: Extracting #6: cost 94 inf + 10883 157.362 * * [simplify]: Extracting #7: cost 16 inf + 48615 157.380 * * [simplify]: Extracting #8: cost 0 inf + 62797 157.389 * * [simplify]: Extracting #9: cost 0 inf + 61202 157.399 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 157.399 * [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 (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 157.399 * * * * [progress]: [ 247 / 307 ] simplifiying candidate # 157.399 * [simplify]: Simplifying (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 157.400 * * [simplify]: iters left: 6 (13 enodes) 157.404 * * [simplify]: iters left: 5 (54 enodes) 157.413 * * [simplify]: iters left: 4 (89 enodes) 157.443 * * [simplify]: iters left: 3 (129 enodes) 157.483 * * [simplify]: iters left: 2 (197 enodes) 157.545 * * [simplify]: iters left: 1 (362 enodes) 157.679 * * [simplify]: Extracting #0: cost 1 inf + 0 157.679 * * [simplify]: Extracting #1: cost 6 inf + 0 157.679 * * [simplify]: Extracting #2: cost 30 inf + 1 157.679 * * [simplify]: Extracting #3: cost 111 inf + 2 157.680 * * [simplify]: Extracting #4: cost 149 inf + 177 157.680 * * [simplify]: Extracting #5: cost 144 inf + 603 157.682 * * [simplify]: Extracting #6: cost 85 inf + 7858 157.691 * * [simplify]: Extracting #7: cost 21 inf + 40439 157.709 * * [simplify]: Extracting #8: cost 0 inf + 56274 157.727 * * [simplify]: Extracting #9: cost 0 inf + 55165 157.748 * * [simplify]: Extracting #10: cost 0 inf + 54305 157.770 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 157.770 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 157.771 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 157.771 * * [simplify]: iters left: 6 (14 enodes) 157.778 * * [simplify]: iters left: 5 (59 enodes) 157.797 * * [simplify]: iters left: 4 (98 enodes) 157.826 * * [simplify]: iters left: 3 (136 enodes) 157.870 * * [simplify]: iters left: 2 (217 enodes) 157.924 * * [simplify]: iters left: 1 (385 enodes) 158.081 * * [simplify]: Extracting #0: cost 1 inf + 0 158.082 * * [simplify]: Extracting #1: cost 7 inf + 0 158.082 * * [simplify]: Extracting #2: cost 13 inf + 1 158.082 * * [simplify]: Extracting #3: cost 38 inf + 2 158.082 * * [simplify]: Extracting #4: cost 120 inf + 167 158.083 * * [simplify]: Extracting #5: cost 155 inf + 590 158.086 * * [simplify]: Extracting #6: cost 84 inf + 21700 158.103 * * [simplify]: Extracting #7: cost 10 inf + 57768 158.118 * * [simplify]: Extracting #8: cost 0 inf + 63114 158.128 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 158.128 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 158.128 * * * * [progress]: [ 248 / 307 ] simplifiying candidate # 158.128 * [simplify]: Simplifying (/ 1 (/ 1 1)) 158.128 * * [simplify]: iters left: 4 (3 enodes) 158.130 * * [simplify]: iters left: 3 (7 enodes) 158.131 * * [simplify]: iters left: 2 (9 enodes) 158.132 * * [simplify]: Extracting #0: cost 1 inf + 0 158.132 * * [simplify]: Extracting #1: cost 0 inf + 1 158.132 * [simplify]: Simplified to 1 158.132 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 158.132 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 158.132 * * [simplify]: iters left: 6 (13 enodes) 158.136 * * [simplify]: iters left: 5 (56 enodes) 158.149 * * [simplify]: iters left: 4 (98 enodes) 158.173 * * [simplify]: iters left: 3 (153 enodes) 158.212 * * [simplify]: iters left: 2 (293 enodes) 158.291 * * [simplify]: Extracting #0: cost 1 inf + 0 158.291 * * [simplify]: Extracting #1: cost 50 inf + 0 158.291 * * [simplify]: Extracting #2: cost 126 inf + 1 158.292 * * [simplify]: Extracting #3: cost 168 inf + 127 158.293 * * [simplify]: Extracting #4: cost 164 inf + 1004 158.295 * * [simplify]: Extracting #5: cost 108 inf + 17323 158.304 * * [simplify]: Extracting #6: cost 24 inf + 65407 158.316 * * [simplify]: Extracting #7: cost 0 inf + 83227 158.333 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 158.334 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 158.334 * * * * [progress]: [ 249 / 307 ] simplifiying candidate # 158.334 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 158.334 * * [simplify]: iters left: 6 (13 enodes) 158.342 * * [simplify]: iters left: 5 (57 enodes) 158.356 * * [simplify]: iters left: 4 (96 enodes) 158.374 * * [simplify]: iters left: 3 (158 enodes) 158.405 * * [simplify]: iters left: 2 (309 enodes) 158.491 * * [simplify]: Extracting #0: cost 1 inf + 0 158.491 * * [simplify]: Extracting #1: cost 29 inf + 0 158.491 * * [simplify]: Extracting #2: cost 98 inf + 2 158.492 * * [simplify]: Extracting #3: cost 147 inf + 301 158.492 * * [simplify]: Extracting #4: cost 145 inf + 766 158.495 * * [simplify]: Extracting #5: cost 70 inf + 17705 158.503 * * [simplify]: Extracting #6: cost 8 inf + 49413 158.523 * * [simplify]: Extracting #7: cost 0 inf + 54010 158.542 * * [simplify]: Extracting #8: cost 0 inf + 53930 158.558 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 4)) 158.558 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 158.558 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 158.558 * * [simplify]: iters left: 6 (14 enodes) 158.565 * * [simplify]: iters left: 5 (62 enodes) 158.576 * * [simplify]: iters left: 4 (110 enodes) 158.602 * * [simplify]: iters left: 3 (185 enodes) 158.649 * * [simplify]: iters left: 2 (366 enodes) 158.789 * * [simplify]: Extracting #0: cost 1 inf + 0 158.789 * * [simplify]: Extracting #1: cost 51 inf + 0 158.790 * * [simplify]: Extracting #2: cost 132 inf + 1 158.791 * * [simplify]: Extracting #3: cost 187 inf + 127 158.793 * * [simplify]: Extracting #4: cost 174 inf + 1591 158.797 * * [simplify]: Extracting #5: cost 124 inf + 9977 158.813 * * [simplify]: Extracting #6: cost 38 inf + 60338 158.839 * * [simplify]: Extracting #7: cost 2 inf + 87832 158.866 * * [simplify]: Extracting #8: cost 0 inf + 88643 158.892 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 158.892 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 158.892 * * * * [progress]: [ 250 / 307 ] simplifiying candidate # 158.893 * [simplify]: Simplifying (/ 1 1) 158.893 * * [simplify]: iters left: 2 (2 enodes) 158.894 * * [simplify]: iters left: 1 (6 enodes) 158.896 * * [simplify]: Extracting #0: cost 1 inf + 0 158.896 * * [simplify]: Extracting #1: cost 0 inf + 1 158.896 * [simplify]: Simplified to 1 158.896 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 158.897 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 158.897 * * [simplify]: iters left: 6 (13 enodes) 158.904 * * [simplify]: iters left: 5 (56 enodes) 159.294 * * [simplify]: iters left: 4 (98 enodes) 159.325 * * [simplify]: iters left: 3 (153 enodes) 159.382 * * [simplify]: iters left: 2 (293 enodes) 159.478 * * [simplify]: Extracting #0: cost 1 inf + 0 159.478 * * [simplify]: Extracting #1: cost 50 inf + 0 159.478 * * [simplify]: Extracting #2: cost 126 inf + 1 159.479 * * [simplify]: Extracting #3: cost 168 inf + 127 159.479 * * [simplify]: Extracting #4: cost 164 inf + 1004 159.482 * * [simplify]: Extracting #5: cost 108 inf + 17323 159.493 * * [simplify]: Extracting #6: cost 24 inf + 65407 159.505 * * [simplify]: Extracting #7: cost 0 inf + 83227 159.529 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 159.529 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 159.530 * * * * [progress]: [ 251 / 307 ] simplifiying candidate # 159.530 * [simplify]: Simplifying (/ 1 (sqrt k)) 159.530 * * [simplify]: iters left: 3 (4 enodes) 159.532 * * [simplify]: iters left: 2 (14 enodes) 159.537 * * [simplify]: iters left: 1 (16 enodes) 159.542 * * [simplify]: Extracting #0: cost 1 inf + 0 159.542 * * [simplify]: Extracting #1: cost 4 inf + 0 159.542 * * [simplify]: Extracting #2: cost 5 inf + 1 159.542 * * [simplify]: Extracting #3: cost 3 inf + 43 159.542 * * [simplify]: Extracting #4: cost 1 inf + 166 159.542 * * [simplify]: Extracting #5: cost 0 inf + 248 159.543 * [simplify]: Simplified to (/ 1 (sqrt k)) 159.543 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 159.543 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 159.543 * * [simplify]: iters left: 6 (12 enodes) 159.550 * * [simplify]: iters left: 5 (51 enodes) 159.568 * * [simplify]: iters left: 4 (87 enodes) 159.588 * * [simplify]: iters left: 3 (138 enodes) 159.618 * * [simplify]: iters left: 2 (241 enodes) 159.681 * * [simplify]: Extracting #0: cost 1 inf + 0 159.681 * * [simplify]: Extracting #1: cost 30 inf + 0 159.681 * * [simplify]: Extracting #2: cost 91 inf + 2 159.682 * * [simplify]: Extracting #3: cost 132 inf + 174 159.683 * * [simplify]: Extracting #4: cost 123 inf + 597 159.684 * * [simplify]: Extracting #5: cost 88 inf + 4440 159.686 * * [simplify]: Extracting #6: cost 61 inf + 13805 159.695 * * [simplify]: Extracting #7: cost 11 inf + 48911 159.704 * * [simplify]: Extracting #8: cost 0 inf + 57402 159.719 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 2)) 159.719 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) 159.719 * * * * [progress]: [ 252 / 307 ] simplifiying candidate # 159.719 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 159.719 * * [simplify]: iters left: 6 (12 enodes) 159.723 * * [simplify]: iters left: 5 (48 enodes) 159.731 * * [simplify]: iters left: 4 (83 enodes) 159.749 * * [simplify]: iters left: 3 (143 enodes) 159.816 * * [simplify]: iters left: 2 (290 enodes) 159.987 * * [simplify]: Extracting #0: cost 1 inf + 0 159.987 * * [simplify]: Extracting #1: cost 38 inf + 0 159.988 * * [simplify]: Extracting #2: cost 104 inf + 1 159.989 * * [simplify]: Extracting #3: cost 103 inf + 255 159.990 * * [simplify]: Extracting #4: cost 97 inf + 591 159.992 * * [simplify]: Extracting #5: cost 71 inf + 9040 160.001 * * [simplify]: Extracting #6: cost 6 inf + 46887 160.013 * * [simplify]: Extracting #7: cost 0 inf + 51156 160.022 * [simplify]: Simplified to (/ (sqrt (* n (* 2 PI))) (sqrt k)) 160.022 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 160.022 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 160.023 * * [simplify]: iters left: 6 (10 enodes) 160.025 * * [simplify]: iters left: 5 (39 enodes) 160.032 * * [simplify]: iters left: 4 (63 enodes) 160.046 * * [simplify]: iters left: 3 (98 enodes) 160.067 * * [simplify]: iters left: 2 (168 enodes) 160.108 * * [simplify]: iters left: 1 (314 enodes) 160.224 * * [simplify]: Extracting #0: cost 1 inf + 0 160.224 * * [simplify]: Extracting #1: cost 6 inf + 0 160.224 * * [simplify]: Extracting #2: cost 36 inf + 1 160.224 * * [simplify]: Extracting #3: cost 123 inf + 2 160.225 * * [simplify]: Extracting #4: cost 145 inf + 218 160.226 * * [simplify]: Extracting #5: cost 110 inf + 2802 160.228 * * [simplify]: Extracting #6: cost 71 inf + 13410 160.234 * * [simplify]: Extracting #7: cost 13 inf + 54153 160.246 * * [simplify]: Extracting #8: cost 0 inf + 62461 160.266 * * [simplify]: Extracting #9: cost 0 inf + 61778 160.285 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))) 160.285 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))))) 160.285 * * * * [progress]: [ 253 / 307 ] simplifiying candidate # 160.285 * * * * [progress]: [ 254 / 307 ] simplifiying candidate # 160.285 * * * * [progress]: [ 255 / 307 ] simplifiying candidate # 160.285 * * * * [progress]: [ 256 / 307 ] simplifiying candidate # 160.286 * [simplify]: Simplifying (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 160.286 * * [simplify]: iters left: 6 (13 enodes) 160.293 * * [simplify]: iters left: 5 (54 enodes) 160.311 * * [simplify]: iters left: 4 (89 enodes) 160.338 * * [simplify]: iters left: 3 (133 enodes) 160.361 * * [simplify]: iters left: 2 (208 enodes) 160.426 * * [simplify]: iters left: 1 (374 enodes) 160.613 * * [simplify]: Extracting #0: cost 1 inf + 0 160.613 * * [simplify]: Extracting #1: cost 3 inf + 0 160.613 * * [simplify]: Extracting #2: cost 8 inf + 0 160.613 * * [simplify]: Extracting #3: cost 39 inf + 0 160.614 * * [simplify]: Extracting #4: cost 123 inf + 43 160.615 * * [simplify]: Extracting #5: cost 155 inf + 427 160.619 * * [simplify]: Extracting #6: cost 100 inf + 9990 160.626 * * [simplify]: Extracting #7: cost 39 inf + 35047 160.635 * * [simplify]: Extracting #8: cost 0 inf + 68585 160.645 * * [simplify]: Extracting #9: cost 0 inf + 67284 160.662 * * [simplify]: Extracting #10: cost 0 inf + 65366 160.683 * [simplify]: Simplified to (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 160.683 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 160.684 * * * * [progress]: [ 257 / 307 ] simplifiying candidate # 160.684 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 160.684 * * [simplify]: iters left: 6 (13 enodes) 160.691 * * [simplify]: iters left: 5 (54 enodes) 160.709 * * [simplify]: iters left: 4 (89 enodes) 160.740 * * [simplify]: iters left: 3 (133 enodes) 160.782 * * [simplify]: iters left: 2 (208 enodes) 160.837 * * [simplify]: iters left: 1 (374 enodes) 160.962 * * [simplify]: Extracting #0: cost 1 inf + 0 160.962 * * [simplify]: Extracting #1: cost 3 inf + 0 160.962 * * [simplify]: Extracting #2: cost 8 inf + 0 160.962 * * [simplify]: Extracting #3: cost 39 inf + 0 160.963 * * [simplify]: Extracting #4: cost 123 inf + 43 160.964 * * [simplify]: Extracting #5: cost 155 inf + 427 160.968 * * [simplify]: Extracting #6: cost 100 inf + 9910 160.974 * * [simplify]: Extracting #7: cost 39 inf + 34967 160.984 * * [simplify]: Extracting #8: cost 0 inf + 68505 160.994 * * [simplify]: Extracting #9: cost 0 inf + 67204 161.015 * * [simplify]: Extracting #10: cost 0 inf + 65286 161.035 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 161.035 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 161.035 * * * * [progress]: [ 258 / 307 ] simplifiying candidate # 161.035 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 161.035 * * [simplify]: iters left: 6 (11 enodes) 161.039 * * [simplify]: iters left: 5 (45 enodes) 161.046 * * [simplify]: iters left: 4 (68 enodes) 161.057 * * [simplify]: iters left: 3 (108 enodes) 161.078 * * [simplify]: iters left: 2 (205 enodes) 161.119 * * [simplify]: iters left: 1 (384 enodes) 161.249 * * [simplify]: Extracting #0: cost 1 inf + 0 161.249 * * [simplify]: Extracting #1: cost 6 inf + 0 161.249 * * [simplify]: Extracting #2: cost 36 inf + 0 161.250 * * [simplify]: Extracting #3: cost 122 inf + 1 161.252 * * [simplify]: Extracting #4: cost 155 inf + 832 161.259 * * [simplify]: Extracting #5: cost 86 inf + 26046 161.271 * * [simplify]: Extracting #6: cost 12 inf + 63304 161.281 * * [simplify]: Extracting #7: cost 0 inf + 68976 161.294 * * [simplify]: Extracting #8: cost 0 inf + 68724 161.310 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 161.310 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 161.310 * * * * [progress]: [ 259 / 307 ] simplifiying candidate # 161.311 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 161.311 * * [simplify]: iters left: 6 (14 enodes) 161.319 * * [simplify]: iters left: 5 (57 enodes) 161.337 * * [simplify]: iters left: 4 (90 enodes) 161.363 * * [simplify]: iters left: 3 (126 enodes) 161.383 * * [simplify]: iters left: 2 (194 enodes) 161.429 * * [simplify]: iters left: 1 (356 enodes) 161.561 * * [simplify]: Extracting #0: cost 1 inf + 0 161.561 * * [simplify]: Extracting #1: cost 4 inf + 0 161.561 * * [simplify]: Extracting #2: cost 8 inf + 0 161.561 * * [simplify]: Extracting #3: cost 34 inf + 0 161.561 * * [simplify]: Extracting #4: cost 118 inf + 43 161.562 * * [simplify]: Extracting #5: cost 153 inf + 422 161.563 * * [simplify]: Extracting #6: cost 109 inf + 6175 161.569 * * [simplify]: Extracting #7: cost 63 inf + 17898 161.580 * * [simplify]: Extracting #8: cost 19 inf + 51306 161.589 * * [simplify]: Extracting #9: cost 0 inf + 68370 161.598 * * [simplify]: Extracting #10: cost 0 inf + 67780 161.611 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 161.611 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 161.611 * * * * [progress]: [ 260 / 307 ] simplifiying candidate # 161.612 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 161.612 * * [simplify]: iters left: 6 (14 enodes) 161.619 * * [simplify]: iters left: 5 (57 enodes) 161.638 * * [simplify]: iters left: 4 (91 enodes) 161.666 * * [simplify]: iters left: 3 (127 enodes) 161.709 * * [simplify]: iters left: 2 (195 enodes) 161.768 * * [simplify]: iters left: 1 (361 enodes) 161.930 * * [simplify]: Extracting #0: cost 1 inf + 0 161.930 * * [simplify]: Extracting #1: cost 4 inf + 0 161.930 * * [simplify]: Extracting #2: cost 9 inf + 0 161.930 * * [simplify]: Extracting #3: cost 37 inf + 0 161.930 * * [simplify]: Extracting #4: cost 126 inf + 43 161.931 * * [simplify]: Extracting #5: cost 158 inf + 547 161.933 * * [simplify]: Extracting #6: cost 117 inf + 5978 161.939 * * [simplify]: Extracting #7: cost 33 inf + 39225 161.949 * * [simplify]: Extracting #8: cost 0 inf + 69096 161.967 * * [simplify]: Extracting #9: cost 0 inf + 67302 161.989 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 161.989 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 161.990 * * * * [progress]: [ 261 / 307 ] simplifiying candidate # 161.990 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 161.990 * * [simplify]: iters left: 6 (13 enodes) 161.994 * * [simplify]: iters left: 5 (54 enodes) 162.002 * * [simplify]: iters left: 4 (85 enodes) 162.018 * * [simplify]: iters left: 3 (127 enodes) 162.053 * * [simplify]: iters left: 2 (219 enodes) 162.130 * * [simplify]: iters left: 1 (389 enodes) 162.291 * * [simplify]: Extracting #0: cost 1 inf + 0 162.291 * * [simplify]: Extracting #1: cost 6 inf + 0 162.292 * * [simplify]: Extracting #2: cost 40 inf + 0 162.292 * * [simplify]: Extracting #3: cost 126 inf + 1 162.293 * * [simplify]: Extracting #4: cost 162 inf + 709 162.296 * * [simplify]: Extracting #5: cost 126 inf + 3654 162.304 * * [simplify]: Extracting #6: cost 59 inf + 29904 162.326 * * [simplify]: Extracting #7: cost 4 inf + 69404 162.349 * * [simplify]: Extracting #8: cost 0 inf + 71212 162.375 * * [simplify]: Extracting #9: cost 0 inf + 71211 162.398 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 162.398 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 162.398 * * * * [progress]: [ 262 / 307 ] simplifiying candidate # 162.399 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 162.399 * * [simplify]: iters left: 6 (14 enodes) 162.407 * * [simplify]: iters left: 5 (60 enodes) 162.426 * * [simplify]: iters left: 4 (98 enodes) 162.457 * * [simplify]: iters left: 3 (154 enodes) 162.485 * * [simplify]: iters left: 2 (277 enodes) 162.553 * * [simplify]: iters left: 1 (498 enodes) 162.732 * * [simplify]: Extracting #0: cost 1 inf + 0 162.732 * * [simplify]: Extracting #1: cost 6 inf + 0 162.732 * * [simplify]: Extracting #2: cost 35 inf + 0 162.733 * * [simplify]: Extracting #3: cost 126 inf + 1 162.734 * * [simplify]: Extracting #4: cost 200 inf + 342 162.739 * * [simplify]: Extracting #5: cost 139 inf + 10990 162.745 * * [simplify]: Extracting #6: cost 55 inf + 29402 162.754 * * [simplify]: Extracting #7: cost 11 inf + 64540 162.766 * * [simplify]: Extracting #8: cost 0 inf + 72644 162.778 * * [simplify]: Extracting #9: cost 0 inf + 72524 162.790 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 162.790 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))))) 162.790 * * * * [progress]: [ 263 / 307 ] simplifiying candidate # 162.790 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 162.790 * * [simplify]: iters left: 6 (11 enodes) 162.793 * * [simplify]: iters left: 5 (45 enodes) 162.801 * * [simplify]: iters left: 4 (68 enodes) 162.813 * * [simplify]: iters left: 3 (108 enodes) 162.849 * * [simplify]: iters left: 2 (205 enodes) 162.906 * * [simplify]: iters left: 1 (384 enodes) 163.037 * * [simplify]: Extracting #0: cost 1 inf + 0 163.037 * * [simplify]: Extracting #1: cost 6 inf + 0 163.037 * * [simplify]: Extracting #2: cost 36 inf + 0 163.038 * * [simplify]: Extracting #3: cost 122 inf + 1 163.039 * * [simplify]: Extracting #4: cost 155 inf + 912 163.046 * * [simplify]: Extracting #5: cost 86 inf + 26126 163.056 * * [simplify]: Extracting #6: cost 12 inf + 63384 163.067 * * [simplify]: Extracting #7: cost 0 inf + 69056 163.077 * * [simplify]: Extracting #8: cost 0 inf + 68804 163.087 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 163.087 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 163.087 * * * * [progress]: [ 264 / 307 ] simplifiying candidate # 163.087 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 163.088 * * [simplify]: iters left: 6 (14 enodes) 163.092 * * [simplify]: iters left: 5 (57 enodes) 163.101 * * [simplify]: iters left: 4 (90 enodes) 163.132 * * [simplify]: iters left: 3 (126 enodes) 163.157 * * [simplify]: iters left: 2 (194 enodes) 163.209 * * [simplify]: iters left: 1 (356 enodes) 163.323 * * [simplify]: Extracting #0: cost 1 inf + 0 163.323 * * [simplify]: Extracting #1: cost 4 inf + 0 163.323 * * [simplify]: Extracting #2: cost 8 inf + 0 163.323 * * [simplify]: Extracting #3: cost 34 inf + 0 163.324 * * [simplify]: Extracting #4: cost 118 inf + 83 163.324 * * [simplify]: Extracting #5: cost 153 inf + 502 163.326 * * [simplify]: Extracting #6: cost 109 inf + 6255 163.329 * * [simplify]: Extracting #7: cost 63 inf + 17978 163.336 * * [simplify]: Extracting #8: cost 19 inf + 51386 163.352 * * [simplify]: Extracting #9: cost 0 inf + 68450 163.368 * * [simplify]: Extracting #10: cost 0 inf + 67860 163.381 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 163.381 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 163.381 * * * * [progress]: [ 265 / 307 ] simplifiying candidate # 163.381 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 163.381 * * [simplify]: iters left: 6 (14 enodes) 163.385 * * [simplify]: iters left: 5 (57 enodes) 163.395 * * [simplify]: iters left: 4 (91 enodes) 163.409 * * [simplify]: iters left: 3 (127 enodes) 163.444 * * [simplify]: iters left: 2 (195 enodes) 163.513 * * [simplify]: iters left: 1 (361 enodes) 163.684 * * [simplify]: Extracting #0: cost 1 inf + 0 163.684 * * [simplify]: Extracting #1: cost 4 inf + 0 163.684 * * [simplify]: Extracting #2: cost 9 inf + 0 163.684 * * [simplify]: Extracting #3: cost 37 inf + 0 163.685 * * [simplify]: Extracting #4: cost 126 inf + 83 163.686 * * [simplify]: Extracting #5: cost 158 inf + 627 163.689 * * [simplify]: Extracting #6: cost 117 inf + 6058 163.701 * * [simplify]: Extracting #7: cost 33 inf + 39305 163.719 * * [simplify]: Extracting #8: cost 0 inf + 69176 163.730 * * [simplify]: Extracting #9: cost 0 inf + 67382 163.741 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 163.741 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 163.741 * * * * [progress]: [ 266 / 307 ] simplifiying candidate # 163.742 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 163.742 * * [simplify]: iters left: 6 (13 enodes) 163.745 * * [simplify]: iters left: 5 (54 enodes) 163.758 * * [simplify]: iters left: 4 (85 enodes) 163.783 * * [simplify]: iters left: 3 (127 enodes) 163.806 * * [simplify]: iters left: 2 (219 enodes) 163.881 * * [simplify]: iters left: 1 (389 enodes) 164.012 * * [simplify]: Extracting #0: cost 1 inf + 0 164.012 * * [simplify]: Extracting #1: cost 6 inf + 0 164.012 * * [simplify]: Extracting #2: cost 40 inf + 0 164.013 * * [simplify]: Extracting #3: cost 126 inf + 1 164.014 * * [simplify]: Extracting #4: cost 162 inf + 789 164.017 * * [simplify]: Extracting #5: cost 126 inf + 3734 164.025 * * [simplify]: Extracting #6: cost 59 inf + 29984 164.047 * * [simplify]: Extracting #7: cost 4 inf + 69484 164.070 * * [simplify]: Extracting #8: cost 0 inf + 71292 164.092 * * [simplify]: Extracting #9: cost 0 inf + 71291 164.103 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 164.103 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 164.103 * * * * [progress]: [ 267 / 307 ] simplifiying candidate # 164.103 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 164.103 * * [simplify]: iters left: 6 (14 enodes) 164.107 * * [simplify]: iters left: 5 (60 enodes) 164.118 * * [simplify]: iters left: 4 (98 enodes) 164.138 * * [simplify]: iters left: 3 (154 enodes) 164.190 * * [simplify]: iters left: 2 (277 enodes) 164.269 * * [simplify]: iters left: 1 (498 enodes) 164.474 * * [simplify]: Extracting #0: cost 1 inf + 0 164.474 * * [simplify]: Extracting #1: cost 6 inf + 0 164.474 * * [simplify]: Extracting #2: cost 35 inf + 0 164.475 * * [simplify]: Extracting #3: cost 126 inf + 1 164.476 * * [simplify]: Extracting #4: cost 200 inf + 382 164.481 * * [simplify]: Extracting #5: cost 139 inf + 11070 164.492 * * [simplify]: Extracting #6: cost 55 inf + 29482 164.510 * * [simplify]: Extracting #7: cost 11 inf + 64620 164.522 * * [simplify]: Extracting #8: cost 0 inf + 72724 164.537 * * [simplify]: Extracting #9: cost 0 inf + 72604 164.556 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 164.556 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))))) 164.556 * * * * [progress]: [ 268 / 307 ] simplifiying candidate # 164.556 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 164.557 * * [simplify]: iters left: 6 (11 enodes) 164.563 * * [simplify]: iters left: 5 (45 enodes) 164.578 * * [simplify]: iters left: 4 (68 enodes) 164.600 * * [simplify]: iters left: 3 (108 enodes) 164.626 * * [simplify]: iters left: 2 (205 enodes) 164.681 * * [simplify]: iters left: 1 (384 enodes) 164.795 * * [simplify]: Extracting #0: cost 1 inf + 0 164.795 * * [simplify]: Extracting #1: cost 6 inf + 0 164.795 * * [simplify]: Extracting #2: cost 36 inf + 0 164.796 * * [simplify]: Extracting #3: cost 122 inf + 1 164.797 * * [simplify]: Extracting #4: cost 155 inf + 752 164.804 * * [simplify]: Extracting #5: cost 86 inf + 25726 164.815 * * [simplify]: Extracting #6: cost 12 inf + 62584 164.829 * * [simplify]: Extracting #7: cost 0 inf + 68056 164.839 * * [simplify]: Extracting #8: cost 0 inf + 67804 164.849 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 164.849 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 164.849 * * * * [progress]: [ 269 / 307 ] simplifiying candidate # 164.849 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 164.849 * * [simplify]: iters left: 6 (14 enodes) 164.856 * * [simplify]: iters left: 5 (57 enodes) 164.875 * * [simplify]: iters left: 4 (90 enodes) 164.890 * * [simplify]: iters left: 3 (126 enodes) 164.916 * * [simplify]: iters left: 2 (194 enodes) 164.960 * * [simplify]: iters left: 1 (356 enodes) 165.131 * * [simplify]: Extracting #0: cost 1 inf + 0 165.131 * * [simplify]: Extracting #1: cost 4 inf + 0 165.131 * * [simplify]: Extracting #2: cost 8 inf + 0 165.131 * * [simplify]: Extracting #3: cost 34 inf + 0 165.132 * * [simplify]: Extracting #4: cost 118 inf + 43 165.132 * * [simplify]: Extracting #5: cost 153 inf + 382 165.134 * * [simplify]: Extracting #6: cost 109 inf + 6095 165.137 * * [simplify]: Extracting #7: cost 63 inf + 17738 165.143 * * [simplify]: Extracting #8: cost 19 inf + 51146 165.152 * * [simplify]: Extracting #9: cost 0 inf + 68210 165.162 * * [simplify]: Extracting #10: cost 0 inf + 67620 165.178 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 165.178 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 165.179 * * * * [progress]: [ 270 / 307 ] simplifiying candidate # 165.179 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 165.179 * * [simplify]: iters left: 6 (14 enodes) 165.186 * * [simplify]: iters left: 5 (57 enodes) 165.205 * * [simplify]: iters left: 4 (91 enodes) 165.223 * * [simplify]: iters left: 3 (127 enodes) 165.245 * * [simplify]: iters left: 2 (195 enodes) 165.289 * * [simplify]: iters left: 1 (361 enodes) 165.416 * * [simplify]: Extracting #0: cost 1 inf + 0 165.416 * * [simplify]: Extracting #1: cost 4 inf + 0 165.416 * * [simplify]: Extracting #2: cost 9 inf + 0 165.416 * * [simplify]: Extracting #3: cost 37 inf + 0 165.417 * * [simplify]: Extracting #4: cost 126 inf + 43 165.417 * * [simplify]: Extracting #5: cost 158 inf + 507 165.420 * * [simplify]: Extracting #6: cost 117 inf + 5898 165.432 * * [simplify]: Extracting #7: cost 33 inf + 39065 165.453 * * [simplify]: Extracting #8: cost 0 inf + 68936 165.467 * * [simplify]: Extracting #9: cost 0 inf + 67142 165.478 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 165.478 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 165.478 * * * * [progress]: [ 271 / 307 ] simplifiying candidate # 165.478 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 165.479 * * [simplify]: iters left: 6 (13 enodes) 165.482 * * [simplify]: iters left: 5 (54 enodes) 165.497 * * [simplify]: iters left: 4 (85 enodes) 165.519 * * [simplify]: iters left: 3 (127 enodes) 165.541 * * [simplify]: iters left: 2 (219 enodes) 165.622 * * [simplify]: iters left: 1 (389 enodes) 165.763 * * [simplify]: Extracting #0: cost 1 inf + 0 165.763 * * [simplify]: Extracting #1: cost 6 inf + 0 165.763 * * [simplify]: Extracting #2: cost 40 inf + 0 165.764 * * [simplify]: Extracting #3: cost 126 inf + 1 165.764 * * [simplify]: Extracting #4: cost 162 inf + 629 165.766 * * [simplify]: Extracting #5: cost 126 inf + 3574 165.770 * * [simplify]: Extracting #6: cost 59 inf + 29624 165.787 * * [simplify]: Extracting #7: cost 4 inf + 68604 165.814 * * [simplify]: Extracting #8: cost 0 inf + 70292 165.836 * * [simplify]: Extracting #9: cost 0 inf + 70291 165.856 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 165.857 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 165.857 * * * * [progress]: [ 272 / 307 ] simplifiying candidate # 165.857 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 165.857 * * [simplify]: iters left: 6 (14 enodes) 165.861 * * [simplify]: iters left: 5 (60 enodes) 165.871 * * [simplify]: iters left: 4 (98 enodes) 165.888 * * [simplify]: iters left: 3 (154 enodes) 165.944 * * [simplify]: iters left: 2 (277 enodes) 166.015 * * [simplify]: iters left: 1 (498 enodes) 166.207 * * [simplify]: Extracting #0: cost 1 inf + 0 166.207 * * [simplify]: Extracting #1: cost 6 inf + 0 166.207 * * [simplify]: Extracting #2: cost 35 inf + 0 166.208 * * [simplify]: Extracting #3: cost 126 inf + 1 166.209 * * [simplify]: Extracting #4: cost 200 inf + 302 166.214 * * [simplify]: Extracting #5: cost 139 inf + 10830 166.225 * * [simplify]: Extracting #6: cost 55 inf + 28922 166.245 * * [simplify]: Extracting #7: cost 11 inf + 63820 166.270 * * [simplify]: Extracting #8: cost 0 inf + 71724 166.282 * * [simplify]: Extracting #9: cost 0 inf + 71604 166.294 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 166.294 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))))) 166.294 * * * * [progress]: [ 273 / 307 ] simplifiying candidate # 166.294 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 166.294 * * [simplify]: iters left: 6 (10 enodes) 166.297 * * [simplify]: iters left: 5 (42 enodes) 166.305 * * [simplify]: iters left: 4 (65 enodes) 166.328 * * [simplify]: iters left: 3 (102 enodes) 166.347 * * [simplify]: iters left: 2 (194 enodes) 166.400 * * [simplify]: iters left: 1 (367 enodes) 166.528 * * [simplify]: Extracting #0: cost 1 inf + 0 166.528 * * [simplify]: Extracting #1: cost 6 inf + 0 166.529 * * [simplify]: Extracting #2: cost 40 inf + 0 166.529 * * [simplify]: Extracting #3: cost 120 inf + 84 166.530 * * [simplify]: Extracting #4: cost 153 inf + 465 166.535 * * [simplify]: Extracting #5: cost 92 inf + 15289 166.549 * * [simplify]: Extracting #6: cost 21 inf + 48335 166.567 * * [simplify]: Extracting #7: cost 0 inf + 64786 166.578 * * [simplify]: Extracting #8: cost 0 inf + 64091 166.588 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))) 166.589 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))) 166.589 * * * * [progress]: [ 274 / 307 ] simplifiying candidate # 166.589 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 166.589 * * [simplify]: iters left: 6 (13 enodes) 166.592 * * [simplify]: iters left: 5 (54 enodes) 166.602 * * [simplify]: iters left: 4 (87 enodes) 166.633 * * [simplify]: iters left: 3 (127 enodes) 166.673 * * [simplify]: iters left: 2 (196 enodes) 166.720 * * [simplify]: iters left: 1 (351 enodes) 166.844 * * [simplify]: Extracting #0: cost 1 inf + 0 166.844 * * [simplify]: Extracting #1: cost 4 inf + 0 166.844 * * [simplify]: Extracting #2: cost 8 inf + 0 166.844 * * [simplify]: Extracting #3: cost 32 inf + 1 166.844 * * [simplify]: Extracting #4: cost 115 inf + 43 166.845 * * [simplify]: Extracting #5: cost 148 inf + 301 166.847 * * [simplify]: Extracting #6: cost 96 inf + 9881 166.855 * * [simplify]: Extracting #7: cost 25 inf + 46617 166.870 * * [simplify]: Extracting #8: cost 0 inf + 67985 166.880 * * [simplify]: Extracting #9: cost 0 inf + 67524 166.890 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 166.890 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 166.890 * * * * [progress]: [ 275 / 307 ] simplifiying candidate # 166.890 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 166.890 * * [simplify]: iters left: 6 (13 enodes) 166.895 * * [simplify]: iters left: 5 (54 enodes) 166.916 * * [simplify]: iters left: 4 (88 enodes) 166.935 * * [simplify]: iters left: 3 (124 enodes) 166.955 * * [simplify]: iters left: 2 (192 enodes) 167.007 * * [simplify]: iters left: 1 (353 enodes) 167.193 * * [simplify]: Extracting #0: cost 1 inf + 0 167.193 * * [simplify]: Extracting #1: cost 4 inf + 0 167.193 * * [simplify]: Extracting #2: cost 9 inf + 0 167.193 * * [simplify]: Extracting #3: cost 33 inf + 1 167.194 * * [simplify]: Extracting #4: cost 119 inf + 43 167.195 * * [simplify]: Extracting #5: cost 143 inf + 633 167.202 * * [simplify]: Extracting #6: cost 68 inf + 26811 167.221 * * [simplify]: Extracting #7: cost 14 inf + 46498 167.237 * * [simplify]: Extracting #8: cost 0 inf + 56440 167.254 * * [simplify]: Extracting #9: cost 0 inf + 56100 167.284 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 167.285 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 167.285 * * * * [progress]: [ 276 / 307 ] simplifiying candidate # 167.285 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 167.285 * * [simplify]: iters left: 6 (12 enodes) 167.289 * * [simplify]: iters left: 5 (51 enodes) 167.297 * * [simplify]: iters left: 4 (86 enodes) 167.315 * * [simplify]: iters left: 3 (131 enodes) 167.357 * * [simplify]: iters left: 2 (210 enodes) 167.422 * * [simplify]: iters left: 1 (376 enodes) 167.568 * * [simplify]: Extracting #0: cost 1 inf + 0 167.568 * * [simplify]: Extracting #1: cost 6 inf + 0 167.568 * * [simplify]: Extracting #2: cost 39 inf + 0 167.569 * * [simplify]: Extracting #3: cost 126 inf + 43 167.570 * * [simplify]: Extracting #4: cost 157 inf + 427 167.573 * * [simplify]: Extracting #5: cost 114 inf + 4645 167.579 * * [simplify]: Extracting #6: cost 78 inf + 13381 167.589 * * [simplify]: Extracting #7: cost 42 inf + 36175 167.606 * * [simplify]: Extracting #8: cost 0 inf + 71124 167.616 * * [simplify]: Extracting #9: cost 0 inf + 70886 167.626 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 167.626 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 167.626 * * * * [progress]: [ 277 / 307 ] simplifiying candidate # 167.626 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 167.626 * * [simplify]: iters left: 6 (13 enodes) 167.634 * * [simplify]: iters left: 5 (57 enodes) 167.653 * * [simplify]: iters left: 4 (95 enodes) 167.683 * * [simplify]: iters left: 3 (148 enodes) 167.735 * * [simplify]: iters left: 2 (248 enodes) 167.822 * * [simplify]: iters left: 1 (441 enodes) 168.002 * * [simplify]: Extracting #0: cost 1 inf + 0 168.003 * * [simplify]: Extracting #1: cost 6 inf + 0 168.003 * * [simplify]: Extracting #2: cost 39 inf + 0 168.004 * * [simplify]: Extracting #3: cost 136 inf + 84 168.006 * * [simplify]: Extracting #4: cost 167 inf + 1583 168.014 * * [simplify]: Extracting #5: cost 99 inf + 23902 168.034 * * [simplify]: Extracting #6: cost 10 inf + 64948 168.059 * * [simplify]: Extracting #7: cost 0 inf + 71402 168.084 * * [simplify]: Extracting #8: cost 0 inf + 71068 168.111 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 168.111 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))))) 168.111 * * * * [progress]: [ 278 / 307 ] simplifiying candidate # 168.111 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 168.111 * * [simplify]: iters left: 6 (11 enodes) 168.114 * * [simplify]: iters left: 5 (45 enodes) 168.122 * * [simplify]: iters left: 4 (68 enodes) 168.133 * * [simplify]: iters left: 3 (108 enodes) 168.162 * * [simplify]: iters left: 2 (205 enodes) 168.232 * * [simplify]: iters left: 1 (384 enodes) 168.373 * * [simplify]: Extracting #0: cost 1 inf + 0 168.373 * * [simplify]: Extracting #1: cost 6 inf + 0 168.373 * * [simplify]: Extracting #2: cost 36 inf + 0 168.374 * * [simplify]: Extracting #3: cost 122 inf + 1 168.374 * * [simplify]: Extracting #4: cost 155 inf + 752 168.378 * * [simplify]: Extracting #5: cost 86 inf + 25726 168.386 * * [simplify]: Extracting #6: cost 12 inf + 62584 168.396 * * [simplify]: Extracting #7: cost 0 inf + 68056 168.409 * * [simplify]: Extracting #8: cost 0 inf + 67804 168.420 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 168.420 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 168.420 * * * * [progress]: [ 279 / 307 ] simplifiying candidate # 168.420 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 168.420 * * [simplify]: iters left: 6 (14 enodes) 168.424 * * [simplify]: iters left: 5 (57 enodes) 168.433 * * [simplify]: iters left: 4 (90 enodes) 168.451 * * [simplify]: iters left: 3 (126 enodes) 168.490 * * [simplify]: iters left: 2 (194 enodes) 168.537 * * [simplify]: iters left: 1 (356 enodes) 168.689 * * [simplify]: Extracting #0: cost 1 inf + 0 168.689 * * [simplify]: Extracting #1: cost 4 inf + 0 168.689 * * [simplify]: Extracting #2: cost 8 inf + 0 168.689 * * [simplify]: Extracting #3: cost 34 inf + 0 168.690 * * [simplify]: Extracting #4: cost 118 inf + 43 168.691 * * [simplify]: Extracting #5: cost 153 inf + 382 168.694 * * [simplify]: Extracting #6: cost 109 inf + 6095 168.700 * * [simplify]: Extracting #7: cost 63 inf + 17738 168.717 * * [simplify]: Extracting #8: cost 19 inf + 51146 168.727 * * [simplify]: Extracting #9: cost 0 inf + 68210 168.736 * * [simplify]: Extracting #10: cost 0 inf + 67620 168.746 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 168.746 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 168.746 * * * * [progress]: [ 280 / 307 ] simplifiying candidate # 168.746 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 168.746 * * [simplify]: iters left: 6 (14 enodes) 168.751 * * [simplify]: iters left: 5 (57 enodes) 168.769 * * [simplify]: iters left: 4 (91 enodes) 168.796 * * [simplify]: iters left: 3 (127 enodes) 168.838 * * [simplify]: iters left: 2 (195 enodes) 168.879 * * [simplify]: iters left: 1 (361 enodes) 169.071 * * [simplify]: Extracting #0: cost 1 inf + 0 169.071 * * [simplify]: Extracting #1: cost 4 inf + 0 169.071 * * [simplify]: Extracting #2: cost 9 inf + 0 169.071 * * [simplify]: Extracting #3: cost 37 inf + 0 169.072 * * [simplify]: Extracting #4: cost 126 inf + 43 169.072 * * [simplify]: Extracting #5: cost 158 inf + 507 169.074 * * [simplify]: Extracting #6: cost 117 inf + 5898 169.080 * * [simplify]: Extracting #7: cost 33 inf + 39065 169.091 * * [simplify]: Extracting #8: cost 0 inf + 68936 169.102 * * [simplify]: Extracting #9: cost 0 inf + 67142 169.113 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 169.113 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 169.113 * * * * [progress]: [ 281 / 307 ] simplifiying candidate # 169.113 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 169.113 * * [simplify]: iters left: 6 (13 enodes) 169.117 * * [simplify]: iters left: 5 (54 enodes) 169.126 * * [simplify]: iters left: 4 (85 enodes) 169.142 * * [simplify]: iters left: 3 (127 enodes) 169.164 * * [simplify]: iters left: 2 (219 enodes) 169.204 * * [simplify]: iters left: 1 (389 enodes) 169.304 * * [simplify]: Extracting #0: cost 1 inf + 0 169.304 * * [simplify]: Extracting #1: cost 6 inf + 0 169.304 * * [simplify]: Extracting #2: cost 40 inf + 0 169.305 * * [simplify]: Extracting #3: cost 126 inf + 1 169.305 * * [simplify]: Extracting #4: cost 162 inf + 629 169.307 * * [simplify]: Extracting #5: cost 126 inf + 3574 169.311 * * [simplify]: Extracting #6: cost 59 inf + 29624 169.329 * * [simplify]: Extracting #7: cost 4 inf + 68604 169.348 * * [simplify]: Extracting #8: cost 0 inf + 70292 169.360 * * [simplify]: Extracting #9: cost 0 inf + 70291 169.374 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 169.374 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 169.374 * * * * [progress]: [ 282 / 307 ] simplifiying candidate # 169.374 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 169.374 * * [simplify]: iters left: 6 (14 enodes) 169.379 * * [simplify]: iters left: 5 (60 enodes) 169.398 * * [simplify]: iters left: 4 (98 enodes) 169.417 * * [simplify]: iters left: 3 (154 enodes) 169.446 * * [simplify]: iters left: 2 (277 enodes) 169.544 * * [simplify]: iters left: 1 (498 enodes) 169.713 * * [simplify]: Extracting #0: cost 1 inf + 0 169.713 * * [simplify]: Extracting #1: cost 6 inf + 0 169.713 * * [simplify]: Extracting #2: cost 35 inf + 0 169.714 * * [simplify]: Extracting #3: cost 126 inf + 1 169.714 * * [simplify]: Extracting #4: cost 200 inf + 302 169.717 * * [simplify]: Extracting #5: cost 139 inf + 10830 169.725 * * [simplify]: Extracting #6: cost 55 inf + 28922 169.735 * * [simplify]: Extracting #7: cost 11 inf + 63820 169.747 * * [simplify]: Extracting #8: cost 0 inf + 71724 169.759 * * [simplify]: Extracting #9: cost 0 inf + 71604 169.771 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 169.771 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))))) 169.771 * * * * [progress]: [ 283 / 307 ] simplifiying candidate # 169.771 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 169.771 * * [simplify]: iters left: 6 (10 enodes) 169.775 * * [simplify]: iters left: 5 (42 enodes) 169.782 * * [simplify]: iters left: 4 (65 enodes) 169.793 * * [simplify]: iters left: 3 (102 enodes) 169.815 * * [simplify]: iters left: 2 (194 enodes) 169.854 * * [simplify]: iters left: 1 (367 enodes) 169.992 * * [simplify]: Extracting #0: cost 1 inf + 0 169.992 * * [simplify]: Extracting #1: cost 6 inf + 0 169.993 * * [simplify]: Extracting #2: cost 40 inf + 0 169.993 * * [simplify]: Extracting #3: cost 120 inf + 84 169.994 * * [simplify]: Extracting #4: cost 153 inf + 465 169.999 * * [simplify]: Extracting #5: cost 92 inf + 15289 170.013 * * [simplify]: Extracting #6: cost 21 inf + 48335 170.033 * * [simplify]: Extracting #7: cost 0 inf + 64786 170.054 * * [simplify]: Extracting #8: cost 0 inf + 64091 170.076 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))) 170.076 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))) 170.076 * * * * [progress]: [ 284 / 307 ] simplifiying candidate # 170.077 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 170.077 * * [simplify]: iters left: 6 (13 enodes) 170.084 * * [simplify]: iters left: 5 (54 enodes) 170.101 * * [simplify]: iters left: 4 (87 enodes) 170.120 * * [simplify]: iters left: 3 (127 enodes) 170.143 * * [simplify]: iters left: 2 (196 enodes) 170.183 * * [simplify]: iters left: 1 (351 enodes) 170.292 * * [simplify]: Extracting #0: cost 1 inf + 0 170.292 * * [simplify]: Extracting #1: cost 4 inf + 0 170.293 * * [simplify]: Extracting #2: cost 8 inf + 0 170.293 * * [simplify]: Extracting #3: cost 32 inf + 1 170.293 * * [simplify]: Extracting #4: cost 115 inf + 43 170.293 * * [simplify]: Extracting #5: cost 148 inf + 301 170.295 * * [simplify]: Extracting #6: cost 96 inf + 9881 170.301 * * [simplify]: Extracting #7: cost 25 inf + 46617 170.320 * * [simplify]: Extracting #8: cost 0 inf + 67985 170.340 * * [simplify]: Extracting #9: cost 0 inf + 67524 170.353 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 170.353 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 170.353 * * * * [progress]: [ 285 / 307 ] simplifiying candidate # 170.353 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 170.353 * * [simplify]: iters left: 6 (13 enodes) 170.357 * * [simplify]: iters left: 5 (54 enodes) 170.366 * * [simplify]: iters left: 4 (88 enodes) 170.382 * * [simplify]: iters left: 3 (124 enodes) 170.418 * * [simplify]: iters left: 2 (192 enodes) 170.490 * * [simplify]: iters left: 1 (353 enodes) 170.657 * * [simplify]: Extracting #0: cost 1 inf + 0 170.657 * * [simplify]: Extracting #1: cost 4 inf + 0 170.657 * * [simplify]: Extracting #2: cost 9 inf + 0 170.657 * * [simplify]: Extracting #3: cost 33 inf + 1 170.658 * * [simplify]: Extracting #4: cost 119 inf + 43 170.659 * * [simplify]: Extracting #5: cost 143 inf + 633 170.666 * * [simplify]: Extracting #6: cost 68 inf + 26811 170.678 * * [simplify]: Extracting #7: cost 14 inf + 46498 170.692 * * [simplify]: Extracting #8: cost 0 inf + 56440 170.709 * * [simplify]: Extracting #9: cost 0 inf + 56100 170.725 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 170.725 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 170.725 * * * * [progress]: [ 286 / 307 ] simplifiying candidate # 170.726 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 170.726 * * [simplify]: iters left: 6 (12 enodes) 170.729 * * [simplify]: iters left: 5 (51 enodes) 170.738 * * [simplify]: iters left: 4 (86 enodes) 170.764 * * [simplify]: iters left: 3 (131 enodes) 170.788 * * [simplify]: iters left: 2 (210 enodes) 170.828 * * [simplify]: iters left: 1 (376 enodes) 171.021 * * [simplify]: Extracting #0: cost 1 inf + 0 171.021 * * [simplify]: Extracting #1: cost 6 inf + 0 171.021 * * [simplify]: Extracting #2: cost 39 inf + 0 171.022 * * [simplify]: Extracting #3: cost 126 inf + 43 171.023 * * [simplify]: Extracting #4: cost 157 inf + 427 171.026 * * [simplify]: Extracting #5: cost 114 inf + 4645 171.031 * * [simplify]: Extracting #6: cost 78 inf + 13381 171.042 * * [simplify]: Extracting #7: cost 42 inf + 36175 171.060 * * [simplify]: Extracting #8: cost 0 inf + 71124 171.079 * * [simplify]: Extracting #9: cost 0 inf + 70886 171.102 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 171.102 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 171.102 * * * * [progress]: [ 287 / 307 ] simplifiying candidate # 171.103 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 171.103 * * [simplify]: iters left: 6 (13 enodes) 171.107 * * [simplify]: iters left: 5 (57 enodes) 171.117 * * [simplify]: iters left: 4 (95 enodes) 171.136 * * [simplify]: iters left: 3 (148 enodes) 171.184 * * [simplify]: iters left: 2 (248 enodes) 171.249 * * [simplify]: iters left: 1 (441 enodes) 171.450 * * [simplify]: Extracting #0: cost 1 inf + 0 171.450 * * [simplify]: Extracting #1: cost 6 inf + 0 171.450 * * [simplify]: Extracting #2: cost 39 inf + 0 171.451 * * [simplify]: Extracting #3: cost 136 inf + 84 171.452 * * [simplify]: Extracting #4: cost 167 inf + 1583 171.460 * * [simplify]: Extracting #5: cost 99 inf + 23902 171.481 * * [simplify]: Extracting #6: cost 10 inf + 64948 171.505 * * [simplify]: Extracting #7: cost 0 inf + 71402 171.528 * * [simplify]: Extracting #8: cost 0 inf + 71068 171.551 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 171.551 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))))) 171.552 * * * * [progress]: [ 288 / 307 ] simplifiying candidate # 171.552 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 171.552 * * [simplify]: iters left: 6 (12 enodes) 171.559 * * [simplify]: iters left: 5 (51 enodes) 171.580 * * [simplify]: iters left: 4 (86 enodes) 171.607 * * [simplify]: iters left: 3 (131 enodes) 171.645 * * [simplify]: iters left: 2 (210 enodes) 171.721 * * [simplify]: iters left: 1 (376 enodes) 171.912 * * [simplify]: Extracting #0: cost 1 inf + 0 171.912 * * [simplify]: Extracting #1: cost 6 inf + 0 171.913 * * [simplify]: Extracting #2: cost 39 inf + 0 171.913 * * [simplify]: Extracting #3: cost 126 inf + 43 171.915 * * [simplify]: Extracting #4: cost 157 inf + 427 171.917 * * [simplify]: Extracting #5: cost 114 inf + 4645 171.923 * * [simplify]: Extracting #6: cost 78 inf + 13381 171.933 * * [simplify]: Extracting #7: cost 42 inf + 36175 171.952 * * [simplify]: Extracting #8: cost 0 inf + 71124 171.976 * * [simplify]: Extracting #9: cost 0 inf + 70886 171.995 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 171.995 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 171.995 * * * * [progress]: [ 289 / 307 ] simplifiying candidate # 171.996 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 171.996 * * [simplify]: iters left: 6 (11 enodes) 172.002 * * [simplify]: iters left: 5 (48 enodes) 172.018 * * [simplify]: iters left: 4 (79 enodes) 172.043 * * [simplify]: iters left: 3 (124 enodes) 172.085 * * [simplify]: iters left: 2 (221 enodes) 172.145 * * [simplify]: iters left: 1 (400 enodes) 172.247 * * [simplify]: Extracting #0: cost 1 inf + 0 172.247 * * [simplify]: Extracting #1: cost 6 inf + 0 172.247 * * [simplify]: Extracting #2: cost 36 inf + 1 172.248 * * [simplify]: Extracting #3: cost 122 inf + 2 172.249 * * [simplify]: Extracting #4: cost 182 inf + 220 172.251 * * [simplify]: Extracting #5: cost 169 inf + 1060 172.259 * * [simplify]: Extracting #6: cost 77 inf + 28313 172.291 * * [simplify]: Extracting #7: cost 7 inf + 58060 172.325 * * [simplify]: Extracting #8: cost 0 inf + 61749 172.362 * * [simplify]: Extracting #9: cost 0 inf + 61579 172.399 * [simplify]: Simplified to (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) 172.399 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))) 172.399 * * * * [progress]: [ 290 / 307 ] simplifiying candidate # 172.399 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 172.400 * * [simplify]: iters left: 5 (8 enodes) 172.404 * * [simplify]: iters left: 4 (31 enodes) 172.415 * * [simplify]: iters left: 3 (51 enodes) 172.430 * * [simplify]: iters left: 2 (85 enodes) 172.458 * * [simplify]: iters left: 1 (152 enodes) 172.517 * * [simplify]: Extracting #0: cost 1 inf + 0 172.517 * * [simplify]: Extracting #1: cost 13 inf + 0 172.517 * * [simplify]: Extracting #2: cost 59 inf + 1 172.517 * * [simplify]: Extracting #3: cost 76 inf + 9 172.519 * * [simplify]: Extracting #4: cost 41 inf + 3303 172.522 * * [simplify]: Extracting #5: cost 16 inf + 10676 172.526 * * [simplify]: Extracting #6: cost 0 inf + 21028 172.529 * * [simplify]: Extracting #7: cost 0 inf + 20456 172.532 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 172.532 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2)))) 172.532 * * * * [progress]: [ 291 / 307 ] simplifiying candidate # 172.532 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 172.532 * * [simplify]: iters left: 3 (3 enodes) 172.536 * * [simplify]: iters left: 2 (11 enodes) 172.538 * * [simplify]: iters left: 1 (13 enodes) 172.540 * * [simplify]: Extracting #0: cost 1 inf + 0 172.540 * * [simplify]: Extracting #1: cost 0 inf + 1 172.540 * [simplify]: Simplified to 1 172.540 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt 1)))) 172.540 * * * * [progress]: [ 292 / 307 ] simplifiying candidate # 172.540 * [simplify]: Simplifying (sqrt 1) 172.540 * * [simplify]: iters left: 1 (2 enodes) 172.542 * * [simplify]: Extracting #0: cost 1 inf + 0 172.542 * * [simplify]: Extracting #1: cost 0 inf + 1 172.542 * [simplify]: Simplified to 1 172.542 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)))) 172.542 * * * * [progress]: [ 293 / 307 ] simplifiying candidate # 172.542 * * * * [progress]: [ 294 / 307 ] simplifiying candidate # 172.542 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 172.542 * * [simplify]: iters left: 5 (10 enodes) 172.545 * * [simplify]: iters left: 4 (45 enodes) 172.554 * * [simplify]: iters left: 3 (78 enodes) 172.575 * * [simplify]: iters left: 2 (118 enodes) 172.616 * * [simplify]: iters left: 1 (191 enodes) 172.685 * * [simplify]: Extracting #0: cost 1 inf + 0 172.685 * * [simplify]: Extracting #1: cost 13 inf + 0 172.686 * * [simplify]: Extracting #2: cost 60 inf + 1 172.686 * * [simplify]: Extracting #3: cost 92 inf + 7 172.687 * * [simplify]: Extracting #4: cost 83 inf + 930 172.689 * * [simplify]: Extracting #5: cost 41 inf + 6729 172.694 * * [simplify]: Extracting #6: cost 13 inf + 16801 172.701 * * [simplify]: Extracting #7: cost 0 inf + 25197 172.705 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 172.705 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 172.705 * * * * [progress]: [ 295 / 307 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 172.705 * * * * [progress]: [ 296 / 307 ] simplifiying candidate # 172.706 * [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))))) 172.706 * * [simplify]: iters left: 6 (37 enodes) 172.716 * * [simplify]: iters left: 5 (187 enodes) 172.776 * * [simplify]: iters left: 4 (488 enodes) 173.030 * * [simplify]: Extracting #0: cost 1 inf + 0 173.031 * * [simplify]: Extracting #1: cost 57 inf + 0 173.032 * * [simplify]: Extracting #2: cost 294 inf + 0 173.042 * * [simplify]: Extracting #3: cost 524 inf + 199 173.048 * * [simplify]: Extracting #4: cost 512 inf + 6095 173.071 * * [simplify]: Extracting #5: cost 310 inf + 78036 173.135 * * [simplify]: Extracting #6: cost 40 inf + 220622 173.191 * * [simplify]: Extracting #7: cost 0 inf + 244981 173.291 * * [simplify]: Extracting #8: cost 0 inf + 243455 173.394 * * [simplify]: Extracting #9: cost 0 inf + 243454 173.467 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 173.468 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2))))))))))) 173.468 * * * * [progress]: [ 297 / 307 ] simplifiying candidate # 173.468 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 173.469 * * [simplify]: iters left: 6 (15 enodes) 173.478 * * [simplify]: iters left: 5 (65 enodes) 173.503 * * [simplify]: iters left: 4 (123 enodes) 173.555 * * [simplify]: iters left: 3 (361 enodes) 173.772 * * [simplify]: Extracting #0: cost 1 inf + 0 173.772 * * [simplify]: Extracting #1: cost 37 inf + 0 173.773 * * [simplify]: Extracting #2: cost 213 inf + 72 173.775 * * [simplify]: Extracting #3: cost 350 inf + 1716 173.783 * * [simplify]: Extracting #4: cost 221 inf + 30028 173.806 * * [simplify]: Extracting #5: cost 33 inf + 78046 173.824 * * [simplify]: Extracting #6: cost 1 inf + 88785 173.840 * * [simplify]: Extracting #7: cost 0 inf + 88926 173.875 * * [simplify]: Extracting #8: cost 0 inf + 88841 173.905 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 173.905 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))))) 173.906 * * * * [progress]: [ 298 / 307 ] simplifiying candidate # 173.906 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 173.906 * * [simplify]: iters left: 6 (16 enodes) 173.911 * * [simplify]: iters left: 5 (67 enodes) 173.923 * * [simplify]: iters left: 4 (134 enodes) 173.960 * * [simplify]: iters left: 3 (407 enodes) 174.145 * * [simplify]: Extracting #0: cost 1 inf + 0 174.145 * * [simplify]: Extracting #1: cost 39 inf + 0 174.146 * * [simplify]: Extracting #2: cost 241 inf + 72 174.149 * * [simplify]: Extracting #3: cost 449 inf + 888 174.155 * * [simplify]: Extracting #4: cost 283 inf + 39678 174.173 * * [simplify]: Extracting #5: cost 24 inf + 116942 174.201 * * [simplify]: Extracting #6: cost 0 inf + 121984 174.224 * * [simplify]: Extracting #7: cost 0 inf + 121983 174.253 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 174.253 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))))) 174.253 * * * * [progress]: [ 299 / 307 ] simplifiying candidate # 174.254 * [simplify]: Simplifying (* 2 (* n PI)) 174.254 * * [simplify]: iters left: 4 (5 enodes) 174.255 * * [simplify]: iters left: 3 (19 enodes) 174.258 * * [simplify]: iters left: 2 (27 enodes) 174.262 * * [simplify]: iters left: 1 (32 enodes) 174.266 * * [simplify]: Extracting #0: cost 1 inf + 0 174.266 * * [simplify]: Extracting #1: cost 8 inf + 0 174.266 * * [simplify]: Extracting #2: cost 7 inf + 45 174.266 * * [simplify]: Extracting #3: cost 0 inf + 421 174.266 * [simplify]: Simplified to (* (* PI n) 2) 174.266 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 174.266 * * * * [progress]: [ 300 / 307 ] simplifiying candidate # 174.266 * [simplify]: Simplifying (* 2 (* n PI)) 174.267 * * [simplify]: iters left: 4 (5 enodes) 174.268 * * [simplify]: iters left: 3 (19 enodes) 174.272 * * [simplify]: iters left: 2 (27 enodes) 174.279 * * [simplify]: iters left: 1 (32 enodes) 174.287 * * [simplify]: Extracting #0: cost 1 inf + 0 174.288 * * [simplify]: Extracting #1: cost 8 inf + 0 174.288 * * [simplify]: Extracting #2: cost 7 inf + 45 174.288 * * [simplify]: Extracting #3: cost 0 inf + 421 174.288 * [simplify]: Simplified to (* (* PI n) 2) 174.288 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 174.288 * * * * [progress]: [ 301 / 307 ] simplifiying candidate # 174.289 * [simplify]: Simplifying (* 2 (* n PI)) 174.289 * * [simplify]: iters left: 4 (5 enodes) 174.291 * * [simplify]: iters left: 3 (19 enodes) 174.298 * * [simplify]: iters left: 2 (27 enodes) 174.306 * * [simplify]: iters left: 1 (32 enodes) 174.313 * * [simplify]: Extracting #0: cost 1 inf + 0 174.314 * * [simplify]: Extracting #1: cost 8 inf + 0 174.314 * * [simplify]: Extracting #2: cost 7 inf + 45 174.314 * * [simplify]: Extracting #3: cost 0 inf + 421 174.314 * [simplify]: Simplified to (* (* PI n) 2) 174.314 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 174.314 * * * * [progress]: [ 302 / 307 ] simplifiying candidate # 174.315 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 174.315 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 174.315 * * * * [progress]: [ 303 / 307 ] simplifiying candidate # 174.316 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))) 174.316 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 174.316 * * * * [progress]: [ 304 / 307 ] simplifiying candidate # 174.316 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))) 174.316 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 174.317 * * * * [progress]: [ 305 / 307 ] simplifiying candidate # 174.317 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 174.317 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 174.317 * * * * [progress]: [ 306 / 307 ] simplifiying candidate # 174.317 * [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)))))))) 174.317 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 174.318 * * * * [progress]: [ 307 / 307 ] simplifiying candidate # 174.318 * [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)))))))))))) 174.318 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 174.319 * * * [progress]: adding candidates to table 177.767 * [progress]: [Phase 3 of 3] Extracting. 177.767 * * [regime]: Finding splitpoints for: (# # # # # # #) 177.768 * * * [regime-changes]: Trying 4 branch expressions: (n (* (* 2 PI) n) k (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 177.768 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 177.821 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (# # # # # # #) 177.904 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (# # #) 177.959 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 178.041 * * * * [regimes]: Trying to branch on (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) from (# # # # # # #) 178.115 * * * [regime]: Found split indices: #